<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0">
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">CP</journal-id>
<journal-title-group>
<journal-title>Climate of the Past</journal-title>
<abbrev-journal-title abbrev-type="publisher">CP</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Clim. Past</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1814-9332</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/cp-11-1027-2015</article-id><title-group><article-title><?xmltex \hack{\vspace{7mm}}?>A collection of sub-daily pressure and temperature observations for the early instrumental period with a focus on the “year without a summer” 1816</article-title>
      </title-group><?xmltex \runningtitle{A collection of sub-daily observations}?><?xmltex \runningauthor{Y.~Brugnara et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Brugnara</surname><given-names>Y.</given-names></name>
          <email>yuri.brugnara@giub.unibe.ch</email>
        <ext-link>https://orcid.org/0000-0001-8427-0064</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Auchmann</surname><given-names>R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Brönnimann</surname><given-names>S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Allan</surname><given-names>R. J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Auer</surname><given-names>I.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Barriendos</surname><given-names>M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Bergström</surname><given-names>H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Bhend</surname><given-names>J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2141-4985</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8 aff9">
          <name><surname>Brázdil</surname><given-names>R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Compo</surname><given-names>G. P.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Cornes</surname><given-names>R. C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12 aff13">
          <name><surname>Dominguez-Castro</surname><given-names>F.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff14">
          <name><surname>van Engelen</surname><given-names>A. F. V.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff15">
          <name><surname>Filipiak</surname><given-names>J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff16">
          <name><surname>Holopainen</surname><given-names>J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff17">
          <name><surname>Jourdain</surname><given-names>S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff18">
          <name><surname>Kunz</surname><given-names>M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0202-9558</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff19">
          <name><surname>Luterbacher</surname><given-names>J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff20">
          <name><surname>Maugeri</surname><given-names>M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff21">
          <name><surname>Mercalli</surname><given-names>L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff22 aff23">
          <name><surname>Moberg</surname><given-names>A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5177-9347</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff24">
          <name><surname>Mock</surname><given-names>C. J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff25">
          <name><surname>Pichard</surname><given-names>G.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8 aff9">
          <name><surname>Řezníčková</surname><given-names>L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff14">
          <name><surname>van der Schrier</surname><given-names>G.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7395-8023</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff26">
          <name><surname>Slonosky</surname><given-names>V.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff27">
          <name><surname>Ustrnul</surname><given-names>Z.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff28">
          <name><surname>Valente</surname><given-names>M. A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff27">
          <name><surname>Wypych</surname><given-names>A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5379-5834</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff29">
          <name><surname>Yin</surname><given-names>X.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Oeschger Centre for Climate Change Research, Bern, Switzerland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute of Geography, University of Bern, Bern, Switzerland</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Hadley Centre, Met Office, Exeter, Devon,  UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>ZAMG (Central
Institute for Meteorology and Geodynamics), Vienna, Austria</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Modern History, University of Barcelona, Barcelona,
Spain</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Earth Sciences, Uppsala University, Uppsala,
Sweden</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Federal Office of Meteorology and Climatology, MeteoSwiss,
Zurich, Switzerland</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Institute of Geography, Masaryk University,
Brno, Czech Republic</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Global Change Research Centre, Academy of
Sciences of the Czech Republic, Brno, Czech Republic</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>University
of Colorado Cooperative Institute for Research in Environmental
Sciences<?xmltex \hack{\newline}?> at the Physical Sciences Division,
Earth System Research Laboratory, National Oceanic and Atmospheric Administration,<?xmltex \hack{\newline}?> Boulder, CO, USA</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>CRU (Climatic Research Unit), School of Environmental Sciences,<?xmltex \hack{\newline}?> University of East Anglia, Norwich, UK</institution>
        </aff>
        <aff id="aff12"><label>12</label><institution>Department of Physics, Universidad de Extremadura, Badajoz, Spain</institution>
        </aff>
        <aff id="aff13"><label>13</label><institution>Departamento de Ingeniería Civil y Ambiental, Escuela Politécnica Nacional, Quito, Ecuador</institution>
        </aff>
        <aff id="aff14"><label>14</label><institution>KNMI (Royal Netherlands Meteorological Institute), De Bilt, the Netherlands</institution>
        </aff>
        <aff id="aff15"><label>15</label><institution>Institute of Geography, University of Gdańsk, Gdańsk, Poland</institution>
        </aff>
        <aff id="aff16"><label>16</label><institution>Department of Geosciences and Geography, University of Helsinki, Helsinki, Finland</institution>
        </aff>
        <aff id="aff17"><label>17</label><institution>Météo-France, Direction de la Climatologie, Toulouse, France</institution>
        </aff>
        <aff id="aff18"><label>18</label><institution>Institute for Meteorology and Climate Research (IMK), Karlsruhe Institute of Technology (KIT),<?xmltex \hack{\newline}?> Karlsruhe, Germany</institution>
        </aff>
        <aff id="aff19"><label>19</label><institution>Department of Geography, Climatology, Climate Dynamics and Climate Change,<?xmltex \hack{\newline}?> Justus Liebig University of Giessen, Giessen, Germany</institution>
        </aff>
        <aff id="aff20"><label>20</label><institution>Università degli Studi di Milano, Department of Physics, Milan, Italy</institution>
        </aff>
        <aff id="aff21"><label>21</label><institution>SMI (Società Meteorologica Italiana), Turin, Italy</institution>
        </aff>
        <aff id="aff22"><label>22</label><institution>Department of Physical Geography, Stockholm University, Stockholm, Sweden</institution>
        </aff>
        <aff id="aff23"><label>23</label><institution>Bolin Centre for Climate Research, Stockholm University, Stockholm, Sweden</institution>
        </aff>
        <aff id="aff24"><label>24</label><institution>Department of Geography, University of South Carolina, Columbia, SC, USA</institution>
        </aff>
        <aff id="aff25"><label>25</label><institution>Department of History, Université Aix-Marseille, Aix-en-Provence, France</institution>
        </aff>
        <aff id="aff26"><label>26</label><institution>McGill University, Centre for Interdisciplinary Studies on Montreal, Montreal, Canada</institution>
        </aff>
        <aff id="aff27"><label>27</label><institution>Jagiellonian University, Department of Climatology, Cracow, Poland</institution>
        </aff>
        <aff id="aff28"><label>28</label><institution>Instituto Dom Luiz, Faculdade de Ciências da Universidade de Lisboa, Lisbon, Portugal</institution>
        </aff>
        <aff id="aff29"><label>29</label><institution>ERT, Inc., Asheville, NC, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Y. Brugnara (yuri.brugnara@giub.unibe.ch)</corresp></author-notes><pub-date><day>6</day><month>August</month><year>2015</year></pub-date>
      
      <volume>11</volume>
      <issue>8</issue>
      <fpage>1027</fpage><lpage>1047</lpage>
      <history>
        <date date-type="received"><day>7</day><month>April</month><year>2015</year></date>
           <date date-type="rev-request"><day>13</day><month>May</month><year>2015</year></date>
           <date date-type="rev-recd"><day>13</day><month>July</month><year>2015</year></date>
           <date date-type="accepted"><day>23</day><month>July</month><year>2015</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015.html">This article is available from https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015.html</self-uri>
<self-uri xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015.pdf">The full text article is available as a PDF file from https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015.pdf</self-uri>


      <abstract>
    <p>The eruption of Mount Tambora (Indonesia) in April 1815 is the largest
documented volcanic eruption in history. It is associated with a large global
cooling during the following year, felt particularly in parts of Europe and
North America, where the year 1816 became known as the “year without a
summer”. This paper describes an effort made to collect surface
meteorological observations from the early instrumental period, with a focus
on the years of and immediately following the eruption (1815–1817). Although
the collection aimed in particular at pressure observations, correspondent
temperature observations were also recovered. Some of the series had already
been described in the literature, but a large part of the data, recently
digitised from original weather diaries and contemporary magazines and
newspapers, is presented here for the first time. The collection puts
together more than 50 sub-daily series from land observatories in Europe
and North America and from ships in the tropics. The pressure observations
have been corrected for temperature and gravity and reduced to mean sea
level. Moreover, an additional statistical correction was applied to take into
account common error sources in mercury barometers. To assess the reliability
of the corrected data set, the variance in the pressure observations is
compared with modern climatologies, and single observations are used for
synoptic analyses of three case studies in Europe. All raw observations will
be made available to the scientific community in the International Surface
Pressure Databank.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>The measurement of atmospheric pressure has a long history, which begins with
the famous experiment of Evangelista Torricelli in 1643. It was not long
until, in 1657, the first European network of meteorological observatories,
all equipped with a barometer, was set up by the Accademia del Cimento
<xref ref-type="bibr" rid="bib1.bibx52" id="paren.1"/>. Similar short-lived attempts of organised
networks would follow in the 18th century
<xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx53 bib1.bibx7" id="paren.2"><named-content content-type="pre">e.g.</named-content></xref>.
Eventually the barometer, as well as the thermometer, became a commercial
product and an object of desire for anybody interested in the natural
sciences, including not only scientists but also educated individuals from
the middle and high classes, such as physicians or clergymen
<xref ref-type="bibr" rid="bib1.bibx36" id="paren.3"/>. Some of these professionals used to keep
meteorological diaries, in the same way that scientists in the astronomical
observatories and in some universities had begun to do. This phenomenon led
to the recording of millions of pressure and temperature observations, at the
beginning only in Europe, but gradually also in the various ocean basins, on
board intercontinental ships and finally in the colonies. The French
Revolution and the Napoleonic wars caused a temporary decline in the quantity
of meteorological observations in some European countries between the end of
the 18th century and the beginning of the 19th century, accompanied by the
dissolution of existing meteorological networks, but in the meantime the
quality of the instruments continued to progress. Finally, in the 1850s a new
era for meteorology began with the creation of the first national weather
services <xref ref-type="bibr" rid="bib1.bibx50" id="paren.4"/>. These 2 centuries of development of
the basic instruments for the atmospheric sciences are usually referred as
the “early instrumental period”.</p>
      <p>Between the 1990s and the 2000s, three European Union-funded projects,
ADVICE, IMPROVE and EMULATE
<xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx14 bib1.bibx2" id="paren.5"/>, triggered
a large effort to digitise historical observations of temperature and
pressure, particularly those of long and continuous series, some longer than
250 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">years</mml:mi></mml:math></inline-formula>, which were in some cases corrected and homogenised. These
projects marked an important development from earlier manual efforts, which
also sought to use historic barometric pressure observations to analyse
changes in the atmospheric circulation but which were limited by an inability
to automate the calculations <xref ref-type="bibr" rid="bib1.bibx23" id="paren.6"/>. A few years ago,
most of the existing digitised pressure observations were collected and
successfully assimilated into a global reanalysis that reconstructed
four-dimensional meteorological fields back to 1870
<xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx21" id="paren.7"/>, recently extended further
back to 1850 <xref ref-type="bibr" rid="bib1.bibx25" id="paren.8"/>. A similar enterprise was
independently undertaken for the period 1900–2010 within the EU project
ERA-CLIM <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx65" id="paren.9"/>.</p>
      <p>The collection described in this paper represents a first step towards
a reanalysis of the first half of the 19th century. Although some of the
series cover longer periods, the focus is on the years 1815–1817, the period
most influenced by the eruption of Mount Tambora in Indonesia.</p>
      <p>Located on the island of Sumbawa, about 300 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> east of Bali, Tambora
erupted between 10 and 11 April 1815
<xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx55" id="paren.10"/>. The consequences were
a significant global cooling, estimated to have been between 0.5 and
1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx42" id="paren.11"><named-content content-type="pre">e.g.</named-content></xref>, as
well as more delayed changes in the atmospheric circulation that deeply
affected the climate of the midlatitudes in the Northern Hemisphere
<xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx72" id="paren.12"><named-content content-type="pre">e.g.</named-content></xref>. This culminated in
the infamous “year without a summer” <xref ref-type="bibr" rid="bib1.bibx66" id="paren.13"/>, 1816, a year
characterised by strong and persistent negative temperature anomalies during
the growing season in western Europe
<xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx47" id="paren.14"><named-content content-type="pre">e.g.</named-content></xref> as well as in eastern
North America <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx8" id="paren.15"><named-content content-type="pre">e.g.</named-content></xref>, with
major socioeconomic impacts due to widespread crop failures
<xref ref-type="bibr" rid="bib1.bibx56" id="paren.16"><named-content content-type="pre">e.g.</named-content></xref>. Tambora may also have triggered an exceptional
winter drought in most the Iberian Peninsula, leading to impacts comparable
to those just mentioned <xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx29" id="paren.17"/>. The global crisis triggered
by the 1816 climate anomaly has been described as “the last great
subsistence crisis in the Western World” <xref ref-type="bibr" rid="bib1.bibx58" id="paren.18"/>.</p>
      <p>Despite the many meteorological observations available for the early
instrumental period, only a small fraction have been used in modern climate
research <xref ref-type="bibr" rid="bib1.bibx10" id="paren.19"/>. The huge amount of documents, spread
over thousands of libraries and archives, and the significant financial and
human investments needed for recovery and digitisation explain why the
majority of the data have never been analysed so far. Another difficulty
arises from data quality, in particular for temperature: the homogenisation
with modern data is usually not an easy task
<xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx12 bib1.bibx6" id="paren.20"><named-content content-type="pre">e.g.</named-content></xref>.
Pressure is to some extent less problematic, when accompanied by detailed
metadata because the barometer does not require a specific exposure
<xref ref-type="bibr" rid="bib1.bibx50" id="paren.21"/>. However, observations made with mercury
barometers need several corrections based on the characteristics of the
barometer, on the variations in temperature and on the latitude
<xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx15" id="paren.22"><named-content content-type="pre">e.g.</named-content></xref>. Unfortunately, in
most cases the historical observations were registered without any
correction, and it is usually very difficult, if not impossible, to find any information
about the barometer. The temperature of the barometer, fundamental for the
correction, was also often not reported. This means that assumptions have to
be made which increase the uncertainty of the original observations. Despite
this, we will show that most of the data in the early instrumental period can
be retained for scientific use.</p>
      <p>This article is organised as follows. In Sect. <xref ref-type="sec" rid="Ch1.S2"/> we describe the
data set and the errors affecting the raw pressure observations in the early
instrumental period and give a detailed account of the corrections that we
applied. In Sect. <xref ref-type="sec" rid="Ch1.S3"/> we analyse the data in the period 1815–1817 and
introduce an additional statistical correction that allows one to produce
reliable synoptic maps for case studies in Europe. Finally, we make our
concluding remarks in Sect. <xref ref-type="sec" rid="Ch1.S4"/>.</p>
</sec>
<sec id="Ch1.S2">
  <title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <title>Data set description</title>
      <p>The collection consists of pressure observations made at 49 locations in
Europe and North America, plus four ships' logbooks from voyages in the
southern Atlantic, the Indian Ocean, the China Seas and the Persian Gulf
(Fig. 1). More than half of the series were recently digitised at the
University of Bern and considerable resources were also invested in the
recovery of metadata. The digitisation usually involved the years from 1815
to 1817 only. In addition to barometer readings and the temperature of the
barometer (when available), outside air temperature was also digitised, with
the exception of a few stations in North America. Other series, some covering
much longer periods (up to 257 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">years</mml:mi></mml:math></inline-formula> in the case of Stockholm), were
provided by co-authors. Many of them have already been described in the
scientific literature; their references are listed in Table S1 in the
Supplement together with the sources of the new records. For two series,
Milan and Stockholm, we use the homogenised version in the analysis (see the
respective references for details on the homogenisation procedure). Moreover,
constant corrections were applied in the years 1815–1817 to the pressure
series from Bologna, London, Padua and Uppsala, following metadata.</p>
      <p>The total amount of single pressure observations represented in the period
1815–1817 is 113 092, averaging 103 per day. Despite the considerable
effort in recovering and digitising new series, the present collection still
represents a minority of the existing data. According to a list that we
compiled (Table S2), at least 58 additional sub-daily land series exist in
that period, including at least 1 in India. The number of
ships' logbooks is even larger: in <xref ref-type="bibr" rid="bib1.bibx19" id="text.23"/>, for instance, 227 of them
were collected for the summer of 1816. These numbers give an idea of the
large quantity of manuscripts still to be digitised. We concentrated our
resources on those series that could improve the spatial coverage of the data
set. Moreover, we gave priority to instantaneous observations over daily
averages or extremes. Accessibility also played a role and travels to
archives or libraries took place only in exceptional cases. The number of historical
documents available on the internet (Google Books and similar) has grown
considerably over the last years and was an important contribution to the
collection. In particular, contemporary scientific magazines have proven to
be a prolific source.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>List of land stations included in the collection, in alphabetical
order. Observatories managed directly by scientific organisations are written
in bold. Metadata refer to the period 1815–1817. Abbreviations: Long –
longitude in degrees east; Lat – latitude in degrees north; Elev –
elevation of the barometer in metres a.s.l. (rounded to the
nearest full metre); Obs –
typical number of pressure observations per day; Loc – exact location
(within 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>) from metadata (Y – available; N – not available);
TCorr – data used for temperature correction (TB – temperature of the
barometer; TA – outside air temperature; CL – outside temperature
climatology; CO – observations already corrected for temperature; HR –
heated room (constant temperature of 18 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> assumed)); Tot –
number of pressure observations in 1815–1817; Flag – number of flagged
observations after quality control. A question mark indicates estimated
elevations.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="71.13189pt"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Name</oasis:entry>  
         <oasis:entry colname="col2">Country</oasis:entry>  
         <oasis:entry colname="col3">Long</oasis:entry>  
         <oasis:entry colname="col4">Lat</oasis:entry>  
         <oasis:entry colname="col5">Elev</oasis:entry>  
         <oasis:entry colname="col6">Obs</oasis:entry>  
         <oasis:entry colname="col7">Loc</oasis:entry>  
         <oasis:entry colname="col8">TCorr</oasis:entry>  
         <oasis:entry colname="col9">Years</oasis:entry>  
         <oasis:entry colname="col10">Tot</oasis:entry>  
         <oasis:entry colname="col11">Flag</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Aarau</oasis:entry>  
         <oasis:entry colname="col2">Switzerland</oasis:entry>  
         <oasis:entry colname="col3">8.04</oasis:entry>  
         <oasis:entry colname="col4">47.39</oasis:entry>  
         <oasis:entry colname="col5">380?</oasis:entry>  
         <oasis:entry colname="col6">2</oasis:entry>  
         <oasis:entry colname="col7">N</oasis:entry>  
         <oasis:entry colname="col8">CO</oasis:entry>  
         <oasis:entry colname="col9">1815–1816</oasis:entry>  
         <oasis:entry colname="col10">1431</oasis:entry>  
         <oasis:entry colname="col11">1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Albany</oasis:entry>  
         <oasis:entry colname="col2">New York, USA</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>73.75</oasis:entry>  
         <oasis:entry colname="col4">42.65</oasis:entry>  
         <oasis:entry colname="col5">12?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1815</oasis:entry>  
         <oasis:entry colname="col10">543</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Althorp</oasis:entry>  
         <oasis:entry colname="col2">England, UK</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.00</oasis:entry>  
         <oasis:entry colname="col4">52.28</oasis:entry>  
         <oasis:entry colname="col5">105?</oasis:entry>  
         <oasis:entry colname="col6">2</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1816–1817</oasis:entry>  
         <oasis:entry colname="col10">1400</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Armagh</bold></oasis:entry>  
         <oasis:entry colname="col2">Northern Ireland, UK</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.65</oasis:entry>  
         <oasis:entry colname="col4">54.35</oasis:entry>  
         <oasis:entry colname="col5">64</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TB</oasis:entry>  
         <oasis:entry colname="col9">1796–1965</oasis:entry>  
         <oasis:entry colname="col10">3286</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Avignon</oasis:entry>  
         <oasis:entry colname="col2">France</oasis:entry>  
         <oasis:entry colname="col3">4.80</oasis:entry>  
         <oasis:entry colname="col4">43.95</oasis:entry>  
         <oasis:entry colname="col5">22</oasis:entry>  
         <oasis:entry colname="col6">4</oasis:entry>  
         <oasis:entry colname="col7">N</oasis:entry>  
         <oasis:entry colname="col8">TB</oasis:entry>  
         <oasis:entry colname="col9">1816</oasis:entry>  
         <oasis:entry colname="col10">982</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Barcelona</oasis:entry>  
         <oasis:entry colname="col2">Spain</oasis:entry>  
         <oasis:entry colname="col3">2.17</oasis:entry>  
         <oasis:entry colname="col4">41.38</oasis:entry>  
         <oasis:entry colname="col5">20?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1811–1820</oasis:entry>  
         <oasis:entry colname="col10">3288</oasis:entry>  
         <oasis:entry colname="col11">12</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Barnton</oasis:entry>  
         <oasis:entry colname="col2">Scotland, UK</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.29</oasis:entry>  
         <oasis:entry colname="col4">55.96</oasis:entry>  
         <oasis:entry colname="col5">50?</oasis:entry>  
         <oasis:entry colname="col6">1</oasis:entry>  
         <oasis:entry colname="col7">N</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">968</oasis:entry>  
         <oasis:entry colname="col11">5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Bologna</bold></oasis:entry>  
         <oasis:entry colname="col2">Italy</oasis:entry>  
         <oasis:entry colname="col3">11.35</oasis:entry>  
         <oasis:entry colname="col4">44.50</oasis:entry>  
         <oasis:entry colname="col5">74</oasis:entry>  
         <oasis:entry colname="col6">1</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">1088</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Boston</oasis:entry>  
         <oasis:entry colname="col2">England, UK</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03</oasis:entry>  
         <oasis:entry colname="col4">52.98</oasis:entry>  
         <oasis:entry colname="col5">10?</oasis:entry>  
         <oasis:entry colname="col6">1</oasis:entry>  
         <oasis:entry colname="col7">N</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1816–1817</oasis:entry>  
         <oasis:entry colname="col10">713</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Brunswick</oasis:entry>  
         <oasis:entry colname="col2">Maine, USA</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>69.96</oasis:entry>  
         <oasis:entry colname="col4">43.91</oasis:entry>  
         <oasis:entry colname="col5">25?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">HR</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">3112</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cádiz</oasis:entry>  
         <oasis:entry colname="col2">Spain</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.30</oasis:entry>  
         <oasis:entry colname="col4">36.53</oasis:entry>  
         <oasis:entry colname="col5">15?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">N</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1816–1820</oasis:entry>  
         <oasis:entry colname="col10">1461</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Cambridge</bold></oasis:entry>  
         <oasis:entry colname="col2">Massachusetts, USA</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>71.12</oasis:entry>  
         <oasis:entry colname="col4">42.37</oasis:entry>  
         <oasis:entry colname="col5">9</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">N</oasis:entry>  
         <oasis:entry colname="col8">CO</oasis:entry>  
         <oasis:entry colname="col9">1815–1816</oasis:entry>  
         <oasis:entry colname="col10">818</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Coimbra</bold></oasis:entry>  
         <oasis:entry colname="col2">Portugal</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.42</oasis:entry>  
         <oasis:entry colname="col4">40.21</oasis:entry>  
         <oasis:entry colname="col5">95?</oasis:entry>  
         <oasis:entry colname="col6">4</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TB</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">3665</oasis:entry>  
         <oasis:entry colname="col11">1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Cracow</bold></oasis:entry>  
         <oasis:entry colname="col2">Poland</oasis:entry>  
         <oasis:entry colname="col3">19.96</oasis:entry>  
         <oasis:entry colname="col4">50.06</oasis:entry>  
         <oasis:entry colname="col5">212</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TB</oasis:entry>  
         <oasis:entry colname="col9">1816</oasis:entry>  
         <oasis:entry colname="col10">1098</oasis:entry>  
         <oasis:entry colname="col11">19</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Derby</oasis:entry>  
         <oasis:entry colname="col2">England, UK</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.48</oasis:entry>  
         <oasis:entry colname="col4">52.93</oasis:entry>  
         <oasis:entry colname="col5">50?</oasis:entry>  
         <oasis:entry colname="col6">2</oasis:entry>  
         <oasis:entry colname="col7">N</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1817</oasis:entry>  
         <oasis:entry colname="col10">64</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Düsseldorf</oasis:entry>  
         <oasis:entry colname="col2">Germany</oasis:entry>  
         <oasis:entry colname="col3">6.77</oasis:entry>  
         <oasis:entry colname="col4">51.23</oasis:entry>  
         <oasis:entry colname="col5">35?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">N</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1816–1817</oasis:entry>  
         <oasis:entry colname="col10">1187</oasis:entry>  
         <oasis:entry colname="col11">2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Edinburgh</bold></oasis:entry>  
         <oasis:entry colname="col2">Scotland, UK</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.18</oasis:entry>  
         <oasis:entry colname="col4">55.96</oasis:entry>  
         <oasis:entry colname="col5">110?</oasis:entry>  
         <oasis:entry colname="col6">2</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">CO</oasis:entry>  
         <oasis:entry colname="col9">1817</oasis:entry>  
         <oasis:entry colname="col10">340</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Exeter</oasis:entry>  
         <oasis:entry colname="col2">England, UK</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.53</oasis:entry>  
         <oasis:entry colname="col4">50.72</oasis:entry>  
         <oasis:entry colname="col5">47?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TB</oasis:entry>  
         <oasis:entry colname="col9">1813–1817</oasis:entry>  
         <oasis:entry colname="col10">3058</oasis:entry>  
         <oasis:entry colname="col11">1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Gdańsk</oasis:entry>  
         <oasis:entry colname="col2">Poland</oasis:entry>  
         <oasis:entry colname="col3">18.65</oasis:entry>  
         <oasis:entry colname="col4">54.35</oasis:entry>  
         <oasis:entry colname="col5">14</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TB</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">3278</oasis:entry>  
         <oasis:entry colname="col11">4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Geneva</oasis:entry>  
         <oasis:entry colname="col2">Switzerland</oasis:entry>  
         <oasis:entry colname="col3">6.15</oasis:entry>  
         <oasis:entry colname="col4">46.23</oasis:entry>  
         <oasis:entry colname="col5">405?</oasis:entry>  
         <oasis:entry colname="col6">2</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">CO</oasis:entry>  
         <oasis:entry colname="col9">1796–1863</oasis:entry>  
         <oasis:entry colname="col10">2129</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Göteborg</oasis:entry>  
         <oasis:entry colname="col2">Sweden</oasis:entry>  
         <oasis:entry colname="col3">11.97</oasis:entry>  
         <oasis:entry colname="col4">57.71</oasis:entry>  
         <oasis:entry colname="col5">15?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">N</oasis:entry>  
         <oasis:entry colname="col8">TB</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">3288</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Haarlem</oasis:entry>  
         <oasis:entry colname="col2">the Netherlands</oasis:entry>  
         <oasis:entry colname="col3">4.65</oasis:entry>  
         <oasis:entry colname="col4">52.38</oasis:entry>  
         <oasis:entry colname="col5">2</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1801–1841</oasis:entry>  
         <oasis:entry colname="col10">3288</oasis:entry>  
         <oasis:entry colname="col11">6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Härnösand</oasis:entry>  
         <oasis:entry colname="col2">Sweden</oasis:entry>  
         <oasis:entry colname="col3">17.94</oasis:entry>  
         <oasis:entry colname="col4">62.63</oasis:entry>  
         <oasis:entry colname="col5">15?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">N</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1815–1816</oasis:entry>  
         <oasis:entry colname="col10">2027</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Hohenpeissenberg</oasis:entry>  
         <oasis:entry colname="col2">Germany</oasis:entry>  
         <oasis:entry colname="col3">11.02</oasis:entry>  
         <oasis:entry colname="col4">47.80</oasis:entry>  
         <oasis:entry colname="col5">995</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">CO</oasis:entry>  
         <oasis:entry colname="col9">1781–2009</oasis:entry>  
         <oasis:entry colname="col10">3288</oasis:entry>  
         <oasis:entry colname="col11">3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Karlsruhe</oasis:entry>  
         <oasis:entry colname="col2">Germany</oasis:entry>  
         <oasis:entry colname="col3">8.40</oasis:entry>  
         <oasis:entry colname="col4">49.01</oasis:entry>  
         <oasis:entry colname="col5">121</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TB</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">3288</oasis:entry>  
         <oasis:entry colname="col11">3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>London</bold></oasis:entry>  
         <oasis:entry colname="col2">England, UK</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.12</oasis:entry>  
         <oasis:entry colname="col4">51.52</oasis:entry>  
         <oasis:entry colname="col5">24</oasis:entry>  
         <oasis:entry colname="col6">2</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TB</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">2192</oasis:entry>  
         <oasis:entry colname="col11">76</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Lviv</oasis:entry>  
         <oasis:entry colname="col2">Ukraine</oasis:entry>  
         <oasis:entry colname="col3">24.03</oasis:entry>  
         <oasis:entry colname="col4">49.84</oasis:entry>  
         <oasis:entry colname="col5">295?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">CO</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">2576</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Madrid</oasis:entry>  
         <oasis:entry colname="col2">Spain</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.71</oasis:entry>  
         <oasis:entry colname="col4">40.41</oasis:entry>  
         <oasis:entry colname="col5">650?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">N</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1814–1817</oasis:entry>  
         <oasis:entry colname="col10">1488</oasis:entry>  
         <oasis:entry colname="col11">1096</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Milan</bold></oasis:entry>  
         <oasis:entry colname="col2">Italy</oasis:entry>  
         <oasis:entry colname="col3">9.18</oasis:entry>  
         <oasis:entry colname="col4">45.47</oasis:entry>  
         <oasis:entry colname="col5">132</oasis:entry>  
         <oasis:entry colname="col6">2</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">CO</oasis:entry>  
         <oasis:entry colname="col9">1778–1834</oasis:entry>  
         <oasis:entry colname="col10">2190</oasis:entry>  
         <oasis:entry colname="col11">3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Natchez</oasis:entry>  
         <oasis:entry colname="col2">Mississippi, USA</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>91.37</oasis:entry>  
         <oasis:entry colname="col4">31.46</oasis:entry>  
         <oasis:entry colname="col5">70?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TB</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">2210</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">New Bedford</oasis:entry>  
         <oasis:entry colname="col2">Massachusetts, USA</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>70.93</oasis:entry>  
         <oasis:entry colname="col4">41.65</oasis:entry>  
         <oasis:entry colname="col5">30?</oasis:entry>  
         <oasis:entry colname="col6">4</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">CL</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">4384</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>New Haven</bold></oasis:entry>  
         <oasis:entry colname="col2">Connecticut, USA</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>72.92</oasis:entry>  
         <oasis:entry colname="col4">41.30</oasis:entry>  
         <oasis:entry colname="col5">25?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">CL</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">3219</oasis:entry>  
         <oasis:entry colname="col11">342</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Nuuk</oasis:entry>  
         <oasis:entry colname="col2">Greenland</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>51.73</oasis:entry>  
         <oasis:entry colname="col4">64.17</oasis:entry>  
         <oasis:entry colname="col5">10?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">N</oasis:entry>  
         <oasis:entry colname="col8">CL</oasis:entry>  
         <oasis:entry colname="col9">1816–1820</oasis:entry>  
         <oasis:entry colname="col10">2102</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Padua</bold></oasis:entry>  
         <oasis:entry colname="col2">Italy</oasis:entry>  
         <oasis:entry colname="col3">11.87</oasis:entry>  
         <oasis:entry colname="col4">45.40</oasis:entry>  
         <oasis:entry colname="col5">31</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TB</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">2366</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Paris (a)</bold></oasis:entry>  
         <oasis:entry colname="col2">France</oasis:entry>  
         <oasis:entry colname="col3">2.34</oasis:entry>  
         <oasis:entry colname="col4">48.84</oasis:entry>  
         <oasis:entry colname="col5">65?</oasis:entry>  
         <oasis:entry colname="col6">1</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">CL</oasis:entry>  
         <oasis:entry colname="col9">1811–1820</oasis:entry>  
         <oasis:entry colname="col10">361</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Paris (b)</bold></oasis:entry>  
         <oasis:entry colname="col2">France</oasis:entry>  
         <oasis:entry colname="col3">2.34</oasis:entry>  
         <oasis:entry colname="col4">48.84</oasis:entry>  
         <oasis:entry colname="col5">65?</oasis:entry>  
         <oasis:entry colname="col6">4</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">CO</oasis:entry>  
         <oasis:entry colname="col9">1816–1817</oasis:entry>  
         <oasis:entry colname="col10">2924</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Prague</bold></oasis:entry>  
         <oasis:entry colname="col2">Czech Republic</oasis:entry>  
         <oasis:entry colname="col3">14.42</oasis:entry>  
         <oasis:entry colname="col4">50.08</oasis:entry>  
         <oasis:entry colname="col5">202</oasis:entry>  
         <oasis:entry colname="col6">1</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">CO</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">1096</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Quebec City</oasis:entry>  
         <oasis:entry colname="col2">Canada</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>71.21</oasis:entry>  
         <oasis:entry colname="col4">46.82</oasis:entry>  
         <oasis:entry colname="col5">32?</oasis:entry>  
         <oasis:entry colname="col6">2</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1803–1819</oasis:entry>  
         <oasis:entry colname="col10">2183</oasis:entry>  
         <oasis:entry colname="col11">5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Rochefort</oasis:entry>  
         <oasis:entry colname="col2">France</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.96</oasis:entry>  
         <oasis:entry colname="col4">45.93</oasis:entry>  
         <oasis:entry colname="col5">25?</oasis:entry>  
         <oasis:entry colname="col6">2</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1815–1895</oasis:entry>  
         <oasis:entry colname="col10">2153</oasis:entry>  
         <oasis:entry colname="col11">7</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Salem</oasis:entry>  
         <oasis:entry colname="col2">Massachusetts, USA</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>70.88</oasis:entry>  
         <oasis:entry colname="col4">42.53</oasis:entry>  
         <oasis:entry colname="col5">5?</oasis:entry>  
         <oasis:entry colname="col6">2</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">CO</oasis:entry>  
         <oasis:entry colname="col9">1786–1820</oasis:entry>  
         <oasis:entry colname="col10">2145</oasis:entry>  
         <oasis:entry colname="col11">9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Stockholm</bold></oasis:entry>  
         <oasis:entry colname="col2">Sweden</oasis:entry>  
         <oasis:entry colname="col3">18.05</oasis:entry>  
         <oasis:entry colname="col4">59.35</oasis:entry>  
         <oasis:entry colname="col5">44</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">CO</oasis:entry>  
         <oasis:entry colname="col9">1756–2012</oasis:entry>  
         <oasis:entry colname="col10">3286</oasis:entry>  
         <oasis:entry colname="col11">8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Turin</bold></oasis:entry>  
         <oasis:entry colname="col2">Italy</oasis:entry>  
         <oasis:entry colname="col3">7.68</oasis:entry>  
         <oasis:entry colname="col4">45.07</oasis:entry>  
         <oasis:entry colname="col5">281</oasis:entry>  
         <oasis:entry colname="col6">1</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">CO</oasis:entry>  
         <oasis:entry colname="col9">1792–2009</oasis:entry>  
         <oasis:entry colname="col10">1096</oasis:entry>  
         <oasis:entry colname="col11">4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Umeå</oasis:entry>  
         <oasis:entry colname="col2">Sweden</oasis:entry>  
         <oasis:entry colname="col3">20.27</oasis:entry>  
         <oasis:entry colname="col4">63.82</oasis:entry>  
         <oasis:entry colname="col5">5?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">N</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">3288</oasis:entry>  
         <oasis:entry colname="col11">0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Uppsala</bold></oasis:entry>  
         <oasis:entry colname="col2">Sweden</oasis:entry>  
         <oasis:entry colname="col3">17.64</oasis:entry>  
         <oasis:entry colname="col4">59.86</oasis:entry>  
         <oasis:entry colname="col5">15?</oasis:entry>  
         <oasis:entry colname="col6">2</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1722–1865</oasis:entry>  
         <oasis:entry colname="col10">2194</oasis:entry>  
         <oasis:entry colname="col11">1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Valencia</oasis:entry>  
         <oasis:entry colname="col2">Spain</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.38</oasis:entry>  
         <oasis:entry colname="col4">39.47</oasis:entry>  
         <oasis:entry colname="col5">25?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1815–1818</oasis:entry>  
         <oasis:entry colname="col10">2697</oasis:entry>  
         <oasis:entry colname="col11">914</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Växjö</oasis:entry>  
         <oasis:entry colname="col2">Sweden</oasis:entry>  
         <oasis:entry colname="col3">14.80</oasis:entry>  
         <oasis:entry colname="col4">56.88</oasis:entry>  
         <oasis:entry colname="col5">170?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">N</oasis:entry>  
         <oasis:entry colname="col8">TB</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">3288</oasis:entry>  
         <oasis:entry colname="col11">1128</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><bold>Vienna</bold></oasis:entry>  
         <oasis:entry colname="col2">Austria</oasis:entry>  
         <oasis:entry colname="col3">16.35</oasis:entry>  
         <oasis:entry colname="col4">48.23</oasis:entry>  
         <oasis:entry colname="col5">198</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">CO</oasis:entry>  
         <oasis:entry colname="col9">1815–1817</oasis:entry>  
         <oasis:entry colname="col10">3246</oasis:entry>  
         <oasis:entry colname="col11">6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ylitornio</oasis:entry>  
         <oasis:entry colname="col2">Finland</oasis:entry>  
         <oasis:entry colname="col3">23.63</oasis:entry>  
         <oasis:entry colname="col4">66.40</oasis:entry>  
         <oasis:entry colname="col5">50?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1800–1825</oasis:entry>  
         <oasis:entry colname="col10">3257</oasis:entry>  
         <oasis:entry colname="col11">981</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Žitenice</oasis:entry>  
         <oasis:entry colname="col2">Czech Republic</oasis:entry>  
         <oasis:entry colname="col3">14.16</oasis:entry>  
         <oasis:entry colname="col4">50.55</oasis:entry>  
         <oasis:entry colname="col5">223?</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1800–1818</oasis:entry>  
         <oasis:entry colname="col10">3288</oasis:entry>  
         <oasis:entry colname="col11">5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Zwanenburg</oasis:entry>  
         <oasis:entry colname="col2">the Netherlands</oasis:entry>  
         <oasis:entry colname="col3">4.73</oasis:entry>  
         <oasis:entry colname="col4">52.38</oasis:entry>  
         <oasis:entry colname="col5">5</oasis:entry>  
         <oasis:entry colname="col6">3</oasis:entry>  
         <oasis:entry colname="col7">Y</oasis:entry>  
         <oasis:entry colname="col8">TA</oasis:entry>  
         <oasis:entry colname="col9">1801–1861</oasis:entry>  
         <oasis:entry colname="col10">3288</oasis:entry>  
         <oasis:entry colname="col11">15</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Position of the land observatories (red dots) and routes of the
ships. For the latter, filled symbols denote locations for which pressure
data are available, colours indicate time for marine data. The inset map
shows the positions of the European observatories and of additional locations
mentioned in Sect. <xref ref-type="sec" rid="Ch1.S3"/>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015-f01.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Ships' logbooks included in the collection. Abbreviations: P-Obs: number of pressure observations; TA: air
temperature; SST: sea surface temperature; <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>: air pressure;
WDir: wind direction.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Route</oasis:entry>  
         <oasis:entry colname="col2">Ship's name</oasis:entry>  
         <oasis:entry colname="col3">Variables</oasis:entry>  
         <oasis:entry colname="col4">Source</oasis:entry>  
         <oasis:entry colname="col5">P-Obs</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">England–Ceylon</oasis:entry>  
         <oasis:entry colname="col2">Unknown</oasis:entry>  
         <oasis:entry colname="col3">TA, SST, <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>, WDir</oasis:entry>  
         <oasis:entry colname="col4">
                    <xref ref-type="bibr" rid="bib1.bibx26" id="text.24"/>
                  </oasis:entry>  
         <oasis:entry colname="col5">108</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Hong Kong–Yellow Sea</oasis:entry>  
         <oasis:entry colname="col2">H.M.S. <italic>Alceste</italic></oasis:entry>  
         <oasis:entry colname="col3">TA, <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>, WDir</oasis:entry>  
         <oasis:entry colname="col4">
                    <xref ref-type="bibr" rid="bib1.bibx1" id="text.25"/>
                  </oasis:entry>  
         <oasis:entry colname="col5">149</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Java–Korea–India</oasis:entry>  
         <oasis:entry colname="col2">H.M.S. <italic>Lyra</italic></oasis:entry>  
         <oasis:entry colname="col3">TA, SST, <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">
                    <xref ref-type="bibr" rid="bib1.bibx37" id="text.26"/>
                  </oasis:entry>  
         <oasis:entry colname="col5">986</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">India–Persian Gulf</oasis:entry>  
         <oasis:entry colname="col2">H.M.S. <italic>Favorite</italic></oasis:entry>  
         <oasis:entry colname="col3">TA, <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>, WDir</oasis:entry>  
         <oasis:entry colname="col4">Original weather journal</oasis:entry>  
         <oasis:entry colname="col5">244</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>Table <xref ref-type="table" rid="Ch1.T1"/> summarises the main characteristics of each land record.
Almost half of the series unfortunately do not have the temperature of the
barometer, nor were the pressure observations corrected for temperature. In
fact, one can distinguish between two categories of observatories: the
scientific observatories and the “amateurs”. The former category includes
astronomical observatories, universities and other scientific organisations.
It offers in general a higher scientific level, since the observations were
carried out by professional scientists, usually astronomers or physicists.
Moreover, metadata are more abundant and detailed. These observatories are
printed in bold in Table <xref ref-type="table" rid="Ch1.T1"/>. The amateurs were sometimes scientists
who kept a personal weather diary, but in most cases they were learned and
wealthy individuals (physicians, aristocrats, clergymen, etc.) with a strong
interest in the natural sciences. Their measurements may be in general less
accurate, and information about corrections or the temperature of the
barometer are rarely given. Metadata are sometimes completely absent or very
difficult to find. A few stations belonging to this category can actually be
considered to be on the borderline, in the sense that their activity was supervised
by a scientific institution, which often provided the instruments, following
the model of the Societas Meteorologica Palatina in the 18th century
<xref ref-type="bibr" rid="bib1.bibx43" id="paren.27"><named-content content-type="pre">see</named-content></xref>. This is the case for most of the
observation sites in Sweden <xref ref-type="bibr" rid="bib1.bibx53" id="paren.28"/> and for
Hohenpeissenberg (Germany), where the monks of a monastery kept
a meteorological register for the Bavarian Academy of Sciences
<xref ref-type="bibr" rid="bib1.bibx74" id="paren.29"/>.</p>
      <p>The series from Paris is split into two parts because we had different sources:
the University of Barcelona provided one uncorrected pressure observation per day
in the period 1811–1820, digitised from the original registers of the Paris
astronomical observatory <xref ref-type="bibr" rid="bib1.bibx24" id="paren.30"/>, while four observations per
day in the period 1816–1817, corrected for temperature, were digitised at
the University of Bern from a contemporary scientific journal. The noon
observations in the latter are the same observations as the former
record; the only difference is the temperature correction. To avoid an overlap
between the two series in the analysis, we removed the 1816–1817 data from
the uncorrected series.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Drawing of the cisterns of a Fortin barometer (left) and of
a fixed-cistern barometer (right). In the Fortin barometer a screw (indicated
by the letter “S”) allows the adjustment of the level of the mercury in the
cistern. From <xref ref-type="bibr" rid="bib1.bibx38" id="text.31"/>.</p></caption>
          <?xmltex \igopts{width=142.26378pt}?><graphic xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015-f02.jpg"/>

        </fig>

      <p>Ships' logbooks also contain pressure and air temperature observations and
sometimes sea surface temperature (which was also digitised). The four
records in the collection are from British vessels; they are briefly
described in Table <xref ref-type="table" rid="Ch1.T2"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Pressure and temperature measurement in the early 19th century</title>
      <p>In this section we give a brief summary of the instruments available in the
early instrumental period and the errors affecting the observations. For a
more detailed overview, we refer the reader to
<xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx51" id="text.32"/>.</p>
      <p>At the beginning of the 19th century many different models of mercury
barometers were employed for meteorological observations. They can be divided
into three main categories: the fixed-cistern barometer, the Fortin
barometer and the siphon barometer. A fourth category should be probably be reserved for marine barometers, which needed a special construction to be
employed on moving ships.</p>
      <p>The fixed-cistern barometer is an adaptation of the original experiment of
Torricelli and was the most commonly used barometer in the early 19th
century: it is composed of a cistern, where the mercury is exposed to the air
pressure, and a vertical thin glass tube, closed at its upper end (where
a vacuum is created) and equipped with a scale (either engraved directly on
the tube or fixed externally, sometimes together with a vernier to increase
the resolution) and with its open end immersed in the mercury of the
cistern. The mercury is in hydrostatic equilibrium with the air, a change in
the air pressure causes a change in the level of the mercury in the tube and
a (smaller) change in the level in the cistern. A correction, calculated from
the dimensions of the cistern and of the tube, must be applied to the
readings made on the tube to take into account the change in the level of the
mercury in the cistern.</p>
      <p>The correction is unnecessary in the case of the Fortin barometer, which is
provided with a variable displacement cistern, where the level of the mercury
has to be set to 0 (marked by the tip of an ivory pin) through a screw
before the pressure value is read on the column (Fig. 2). This kind of
barometer is named after its inventor, the French instrument maker Jean
Nicolas Fortin. Techniques to keep the level in the cistern constant (or to
measure it) already existed in the 18th century (e.g. overflowing cisterns,
leather bags, flowing gauges, etc.), but none of them had the success of
Fortin's model, which was introduced at the beginning of the 19th century. At
the time of the Tambora eruption, the Fortin barometer was a relatively new
invention and only a very limited number of observatories had one.</p>
      <p>Siphon barometers do not have a cistern, instead the tube is u-shaped at the
bottom and the end of the shorter leg is exposed to air; the level of the
mercury in both legs of the tube is needed to obtain the pressure value. The
siphon barometer was often criticised by contemporary scientists,
because of the additional reading required, the lack of transportability and
the exposure of the mercury to dust, humidity and oxidation, which could
affect the reliability of the measurements. Nevertheless, it maintained
numerous advocates among scientists in Europe. In 1816 Joseph Louis
Gay-Lussac eventually developed a transportable siphon barometer which
temporarily increased the popularity of this kind of barometer.</p>
      <p>Independently of the barometer's model, further corrections due to the
thermal expansion of mercury and the change in gravity with latitude are
necessary. In some cases, the capillarity inside the tube and the
construction of the scale are also sources of significant errors and drifts
<xref ref-type="bibr" rid="bib1.bibx15" id="paren.33"><named-content content-type="pre">see also</named-content></xref>, as are a lack of maintenance and
many other factors.</p>
      <p>From metadata we know what type of barometer was employed in 1815–1817 only
in the case of 12 observatories in the collection. Seven of them (Cambridge,
Haarlem, Hohenpeissenberg, London, Stockholm, Vienna and Zwanenburg) employed
fixed-cistern barometers, three (Aarau, Düsseldorf and Padua) had siphon
barometers, and two (Milan and Bologna) had Fortin-like barometers (provided with
a floating gauge instead of the ivory pin).</p>
      <p>Even though a recognised official standard for outside temperature
measurement did not exist in the early 19th century, some common rules had
been long agreed on in the scientific community, mainly inspired by the
recommendations of the French physicist Réaumur <xref ref-type="bibr" rid="bib1.bibx59" id="paren.34"/>.
Thermometers were usually placed on north-facing walls or windows to minimise
the effect of direct and indirect sunlight. In some cases, an iron screen was
used to shield the instrument from solar radiation
<xref ref-type="bibr" rid="bib1.bibx13" id="paren.35"><named-content content-type="pre">e.g.</named-content></xref>. We do not correct temperature
observations in this work and we make a limited use of them in the analysis.
However, we use outside temperature to reduce pressure observations to sea
level and sometimes also to correct the thermal expansion of the mercury in
the barometer, when the temperature of the barometer is not available.
<xref ref-type="bibr" rid="bib1.bibx6" id="text.36"/> calculated that at the Kremsmünster observatory
(Austria), when direct and/or scattered sunlight hits the historical
thermometer location (north-east-facing window) in summer, the average
overestimation in the observed temperature is about 2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>, although
in the most extreme cases it can even reach 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>. Errors of this
magnitude have a negligible effect on the reduction of pressure observations
to sea level at low elevation.</p>
<sec id="Ch1.S2.SS2.SSS1">
  <title>Cistern level correction for fixed-cistern barometers</title>
      <p>The level <inline-formula><mml:math display="inline"><mml:mi>l</mml:mi></mml:math></inline-formula> read on the scale of a fixed-cistern barometer is
underestimated for high values (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>l</mml:mi><mml:mo>&gt;</mml:mo><mml:msub><mml:mi>l</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the zero level, i.e.
the level where no correction is needed) and overestimated for low values
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>l</mml:mi><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>l</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) due to the change in level in the cistern. Therefore, the following
correction formula <xref ref-type="bibr" rid="bib1.bibx38" id="paren.37"/> must be applied to the raw
observations:

                  <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>L</mml:mi><mml:mo>=</mml:mo><mml:mi>l</mml:mi><mml:mo>+</mml:mo><mml:mfrac><mml:mrow><mml:msup><mml:mi>d</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mi>D</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>-</mml:mo><mml:msup><mml:mi>d</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac><mml:mo>(</mml:mo><mml:mi>l</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>l</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> is the corrected level, <inline-formula><mml:math display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula> is the inside diameter of the tube and
<inline-formula><mml:math display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> is that of the cistern (assuming a circular section).</p>
      <p>For the large majority of the early instrumental records, <inline-formula><mml:math display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
are unknown. Even if we knew them, we could not say for sure whether or not the
correction was applied before recording the observations or whether the
correction was necessary at all. Most commercial barometers (including those
intended for scientific use) were actually sold without the indication of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx50" id="paren.38"/>. In our metadata the observer clearly stated only in one case, for
Cambridge (Harvard College), that “the barometer
is provided with a floating gauge and scale of correction”.</p>
      <p>We can try to quantify the maximum error that can arise from uncorrected
observations. One case where the cistern level correction could be applied
in the literature is the series from Stockholm: <xref ref-type="bibr" rid="bib1.bibx54" id="text.39"/>
estimated a correction of 1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>l</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>l</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. This means that even
for extreme high- or low-pressure values the error is less than
0.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>. Using the metadata for the observatory in London
<xref ref-type="bibr" rid="bib1.bibx22" id="paren.40"/> suggests that any correction there would be even
smaller, since the cistern <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> tube ratio was slightly larger than in
Stockholm. A similar ratio is found for the barometer in Zwanenburg
<xref ref-type="bibr" rid="bib1.bibx35" id="paren.41"/>. We can expect smaller cisterns by some amateur observers;
however, the errors introduced by the missing corrections are unlikely to be
larger than 1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <title>Capillarity and drifts</title>
      <p>In all mercury barometers, but in particular in fixed-cistern and Fortin
barometers, too thin a tube can lead to underestimations in the readings due
to capillarity. This error becomes larger than 1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> for <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx15" id="paren.42"/>. The barometers in Stockholm and
London had a tube with an internal diameter of only 3 and 6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>,
respectively; therefore, they were probably affected by a substantial error.
Capillarity was indeed the largest source of error in barometers and could be
fully bypassed only in the second half of the 19th century with the adoption
of reference primary barometers <xref ref-type="bibr" rid="bib1.bibx50" id="paren.43"/>. Nevertheless,
correction tables had been around since at least 1776 <xref ref-type="bibr" rid="bib1.bibx17" id="paren.44"/>,
although their use is never mentioned in the metadata in our possession. The
error introduced by capillarity can be assumed to be constant over a period of a
few years, with the exception of siphon barometers, in which the tube is
exposed to air (and thus to humidity and dust).</p>
      <p>The scale was often prone to physical changes, such as mechanical drifts or
irregular changes due to thermal expansion or to the humidity's effect on the
wood of the support. The latter was estimated in <xref ref-type="bibr" rid="bib1.bibx54" id="text.45"/> as
negligible; however, it depends on the individual instrument. Other
significant errors and drifts can arise from the quality of the mercury or
from bubbles of air that enter the tube. In general, most barometers probably
had a drift of some kind and were less reliable after a few decades of use.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Data processing</title>
      <p>In this section we describe the procedure that was necessary to transform the
raw data to a common consistent format that we could use for the
analysis. After the conversion of all variables to metric units and of the
observation times to the standard UTC, we corrected the pressure observations
for temperature and local gravity, and we reduced them to mean sea level. We
followed, when appropriate, the directives of the World Meteorological
Organization <xref ref-type="bibr" rid="bib1.bibx75" id="paren.46"/>. At the end of the procedure, we interpolated the
observations to regular 6-hourly time steps in order to have simultaneous values.</p>
<sec id="Ch1.S2.SS3.SSS1">
  <title>Unit conversion</title>
      <p>In 1815 only France had officially adopted the metric system; elsewhere,
metric units were rarely used. The English inch (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn>25.40</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>) was the
standard length unit in the English-speaking world. In the rest of the world,
the most common unit for barometer scales was the Paris inch
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn>27.07</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>). We encountered four other non-metric units, which were
used only in specific countries: the Swedish inch (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn>29.69</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>) in
Sweden, the Vienna inch (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn>26.34</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>) in Austria, the Rijnland inch
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn>26.15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>) in the Netherlands and the Castilian inch
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn>23.22</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>) in Spain. The English and the Swedish inch had decimal
subunits (the resolution was usually 1/100 of an inch); the others
were divided into 12 “lines”, which were in turn divided into 4 to 16
“points”.</p>
      <p>The temperature was measured using either the Fahrenheit or the Réaumur
scale. The only exceptions were in France and in Sweden, where the Celsius
scale had already been adopted. We converted all temperature observations to
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <title>Observation times</title>
      <p>Observation times are available in various formats in the original records.
Usually the observations were fixed at specific hours, but for some series
they were indicated only qualitatively (e.g. “morning”), and in some others
one of the observations was made at sunrise or sunset, whose time varies
during the year. In 1815 all the countries of the observatories in the
collection had already adopted the Gregorian calendar.</p>
      <p>We assumed all times to refer to local solar time, since official
standardised times did not exist. This also includes observations from ships,
which were usually made at local noon together with the calculation of the
geographical coordinates. For qualitative observation times, we applied the
following fixed conversions when we did not have any information from the
available metadata: morning – 08:00 LT; noon — 12:00 LT; afternoon –
16:00 LT; evening – 20:00 LT. However, when
quantitative observation times are indicated only at the beginning of
a manuscript (e.g. only on the first page of a meteorological register), we
assume that they hold for the whole manuscript or the whole series of
manuscripts (e.g. if there is one volume per year and quantitative
observation times are indicated only for the first year).</p>
      <p>In cases for which observation times are noted as “sunrise” and “sunset”,
the local sunrise and sunset is computed based on the date and latitude of
the station using the following equation:

                  <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mtext>sun</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mi>arccos⁡</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mi>tan⁡</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>⋅</mml:mo><mml:mi>tan⁡</mml:mi><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mfrac><mml:mn>24</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mtext>sun</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the half-day length in hours, <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula> the latitude
of the station and <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> the declination of the sun, computed applying the
algorithms described in <xref ref-type="bibr" rid="bib1.bibx49" id="text.47"/>. The local sunrise
(sunset) time is <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>0.5</mml:mn><mml:msub><mml:mi>H</mml:mi><mml:mtext>sun</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> before (after) local noon.</p>
      <p>If observation times for single observations are missing but observations
were taken at regular intervals, we replaced the missing observation
times with the most frequent observation time for this interval (e.g. 21:00 LT for evening observations if 21:00 LT is the most
frequent known time for evening observations at one specific observatory).</p>
      <p>We finally translated local observation dates and times to UTC. For this we
used a simple equation based on the longitude of the station:

                  <disp-formula id="Ch1.E3" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>UTC</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mtext>loc</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>⋅</mml:mo><mml:mfrac><mml:mn>24</mml:mn><mml:mn>360</mml:mn></mml:mfrac><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is the longitude of the station in degrees east,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>loc</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the local time and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>UTC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the UTC time.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <?xmltex \opttitle{Reduction to 0\,{$\mathrm{{}^{{\circ}}C}$}}?><title>Reduction to 0 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></title>
      <p>About half of the observatories in our data set recorded the temperature of
the barometer. It was in fact common to have a mercury thermometer fixed on
the same support as the barometer. Since the mercury expands and shrinks
depending on the temperature, observations made with a mercury barometer must
be corrected accordingly:

                  <disp-formula id="Ch1.E4" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">γ</mml:mi><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mtext>mm</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> is the thermal expansion coefficient of mercury at
0 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mn>1.82</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is the
temperature of the barometer in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mtext>mm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the
original observation in millimetres of mercury and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the observation
reduced to 0 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Today, the “neutral” temperature of
0 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> is dictated by international standards; this was partially the case already in the early 19th century. Note that some observers
used to reduce their observations to other temperatures (10 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:math></inline-formula>
being the most common).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Panel <bold>(a)</bold>: monthly averages of the differences between temperature
of the barometer and outside temperature for the stations where both are
available. Panel <bold>(b)</bold>: monthly averages of the differences between
temperature of the barometer and temperature climatologies from the Twentieth
Century Reanalysis for the stations where the temperature of the barometer is
available. In both panels the corresponding error in the pressure reduction
to 0 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> is shown on the right axis, calculated considering an
uncorrected barometer reading of 760 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>. Panel <bold>(c)</bold>: monthly ratios
between the variance of pressure observations corrected using outside
temperature and the same observations corrected using the temperature of the
barometer, for the same stations as in <bold>(a)</bold>. Panel <bold>(d)</bold>: monthly
ratios between the variance in pressure observations corrected using
climatologies and the same observations corrected using the temperature of
the barometer, for the same stations as in <bold>(b)</bold>. All plots are based
on the period 1815–1817; climatologies are calculated for the period
1871–1900.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015-f03.png"/>

          </fig>

      <p>When the temperature of the barometer was not available, we used outside air
temperature for the reduction. In many cases this is a good approximation
because often the barometer was located in an unheated room or in
a meteorological window and was fairly close to the “outside” thermometer.
At some observatories, however, the barometer hung in a heated room, in which
case we have an unknown error, usually with some seasonal cycle. Note
that we rarely know the location of the barometer from metadata. When outside
temperature observations were also missing, we used the closest (in space and
time) 30-year climatology of 2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> air temperature from the
Twentieth Century Reanalysis <xref ref-type="bibr" rid="bib1.bibx21" id="paren.48"/> at 3-hourly resolution.
This reanalysis has a spatial resolution of 2 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> for both
latitude and longitude. As the base period for the climatologies, we chose
1871–1900 to minimise the difference with early 19th century temperatures.
To reduce variability, we applied an 11-day moving mean per time
step, so that the climatology for temperature on 6 January,
12:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UTC</mml:mi></mml:math></inline-formula>, is the average of temperature on 1–11 January,
12:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UTC</mml:mi></mml:math></inline-formula>, in the years 1871–1900. The use of climatologies was
necessary for four stations only – one in Europe (Paris in 1815) and three in
North America (see Table <xref ref-type="table" rid="Ch1.T1"/>) – and for occasional gaps in the other
series. In one case (Brunswick), metadata indicate that the barometer was in a
heated room; therefore, we preferred to use an arbitrary constant temperature
of 18 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for the correction.</p>
      <p>To evaluate the errors introduced by the use of outside temperatures or
climatologies, we made use of the stations where the temperature of the
barometer was measured by correcting their pressure observations using
either outside temperature or climatology and analysing the differences with
the “right” correction.</p>
      <p>The errors in the mean (Fig. 3a and b) have, as expected, a seasonal cycle.
In summer, differences between inside and outside temperatures are on average
very small for all stations, but in winter the barometers located in heated
rooms are 5 to 17 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> warmer than the outside air
(corresponding to average errors of 1 to 3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> when using outside
temperature for the pressure reduction). We obtained similar results using
observations from a certain part of the day (e.g. only morning or afternoon
observations); in particular, the average errors in summer always remain
within <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> (not shown). Climatologies from the reanalysis
introduce errors similar to those introduced by outside temperatures; these
are slightly larger when the barometer is not in a heated room.</p>
      <p>In Sect. <xref ref-type="sec" rid="Ch1.S3.SS3"/> we try to correct these errors using a statistical
method. However, much larger errors (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>) are possible for
single sub-daily values in continental climates, specifically in New England
and Fennoscandia, when large deviations from climatology occur.</p>
      <p>Temperature has, in general, a vertical gradient along the barometer, meaning
that the observed temperature of the barometer is actually the temperature of
only one part of it (depending on where the thermometer is attached).
Therefore, the correction can introduce errors of the order of some tenths of
<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> even when the temperature of the barometer is available.</p>
      <p>Compared to the mean, the variance is more strongly affected when using
climatologies (Fig. 3c and d). Using outside temperature introduces
a random error in the variance that does not depend on the season and is
usually smaller than 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> for all stations but one: in Natchez
(Mississippi) there is a systematic overestimation of the variance of about
10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>, which could be due to the subtropical climate of this station
(i.e. a smaller pressure variance than any other station in the collection)
or simply on the quality of the temperature observations (e.g. unshielded
thermometer). Climatologies introduce a seasonal cycle in the variance error
for some stations, with an underestimation (overestimation) of the variance
in winter (summer).</p>
      <p>We did not apply corrections for the thermal expansion of other parts of the
barometer (cistern, tube, scale), which are usually 1 order of magnitude
smaller than the correction for mercury and depend on the material used to
build the barometer.</p>
      <p>We also used Eq. (<xref ref-type="disp-formula" rid="Ch1.E4"/>) to rebase to 0 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> pressure
observations that had been reduced to some other temperature at the time of
the readings. This results in a small inconsistency because the correction
tables in use at the time were purely empirical, <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> not being known
with sufficient precision. Therefore, the original corrections do not
correspond exactly to those resulting from Eq. (<xref ref-type="disp-formula" rid="Ch1.E4"/>).</p>
      <p>The series from Milan, Salem, Stockholm and Turin had already been reduced to
0 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in previous works by data contributors (see the
respective references for more details). In Exeter, the observer started to
register the temperature at the barometer only in 1817; outside air
temperature was used before that year (absolute differences between
temperature at the barometer and outside temperature were on average smaller
than 2.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> during 1817).</p>
</sec>
<sec id="Ch1.S2.SS3.SSS4">
  <title>Conversion to pressure units and correction for local gravity</title>
      <p>The conversion of pressure readings from millimetres to hectopascal follows from
the hydrostatic equation:

                  <disp-formula id="Ch1.E5" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>,</mml:mo><mml:mi>h</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the absolute pressure in hectopascal reduced to normal gravity,
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>=</mml:mo><mml:mn>1.35951</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is the density of mercury at
0 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>,</mml:mo><mml:mi>h</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the local gravity (see below) and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the barometric reading in millimetres (corrected for temperature).
This is equivalent to the usual procedure of first converting pressure
readings from millimetres to hectopascal by using normal gravity acceleration in
Eq. (<xref ref-type="disp-formula" rid="Ch1.E5"/>) and then correcting for local gravity by using

                  <disp-formula id="Ch1.E6" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>,</mml:mo><mml:mi>h</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:mfrac><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the absolute pressure not reduced to normal gravity and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>9.80665</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is the normal gravity acceleration.</p>
      <p>We estimated the local gravity <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>,</mml:mo><mml:mi>h</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from the latitude <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">φ</mml:mi></mml:math></inline-formula>
and elevation <inline-formula><mml:math display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula> (in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> a.s.l.), assuming flat terrain around the
station <xref ref-type="bibr" rid="bib1.bibx75" id="paren.49"><named-content content-type="pre">see</named-content></xref>:

                  <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>,</mml:mo><mml:mi>h</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mfenced close="" open="["><mml:mn>9.80620</mml:mn><mml:mo>⋅</mml:mo><mml:mfenced close="" open="("><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mn>0.0026442</mml:mn><mml:mo>⋅</mml:mo><mml:mi>cos⁡</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>-</mml:mo><mml:mn>0.0000058</mml:mn></mml:mfenced></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mfenced open="." close="]"><mml:mfenced open="." close=")"><mml:mo>⋅</mml:mo><mml:msup><mml:mi>cos⁡</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">φ</mml:mi></mml:mfenced><mml:mo>-</mml:mo><mml:mn>0.000003086</mml:mn><mml:mo>⋅</mml:mo><mml:mi>h</mml:mi></mml:mfenced><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p>Since all land stations in the data set are in the midlatitudes and at
relatively low elevations, the gravity correction is on average small (ca.
0.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>; positive for high latitudes and negative for low latitudes).</p>
</sec>
<sec id="Ch1.S2.SS3.SSS5">
  <title>Reduction to mean sea level</title>
      <p>To use the pressure observations for synoptic analysis, we reduced <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> to sea level:

                  <disp-formula id="Ch1.E8" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mi>P</mml:mi><mml:mo>⋅</mml:mo><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mfrac><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mrow><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>,</mml:mo><mml:mi>h</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi>R</mml:mi></mml:mfrac><mml:mo>⋅</mml:mo><mml:mi>h</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>a</mml:mi><mml:mo>⋅</mml:mo><mml:mfrac><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mrow></mml:mfrac></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn>287.05</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">J</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is the gas constant for dry
air, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn>6.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">K</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is the standard lapse rate of
the fictitious air column below the station and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the
outside temperature at the station in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>.</p>
      <p>We did not apply further corrections described in <xref ref-type="bibr" rid="bib1.bibx75" id="text.50"/>, since the
uncertainty in our data set is much higher than that required for modern
barometers (i.e. <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn>0.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>).</p>
      <p>Similarly to the reduction in pressure readings to 0 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>
(Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS3"/>), we used in situ air temperature observations where
available and resorted to climatological temperatures from the Twentieth Century
Reanalysis (1871–1900) otherwise. We did not use the temperature of the
barometer to reduce pressure readings to sea level.</p>
      <p>The series from Stockholm and Turin had already been reduced to sea level by
the respective data contributors.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS6">
  <title>Quality control</title>
      <p>We inspected visually each sea level pressure (SLP) series (and differences
with nearby stations) to flag erroneous outliers and clear inhomogeneities in
the period 1815–1817. Nearly all outliers derive from mistakes in the
digitisation or in the transcriptions by the observer. When possible (i.e. when the original sources were readily available) we corrected
them; otherwise, we flagged them as erroneous and excluded them from the analysis.</p>
      <p>The total number of pressure observations flagged after the quality control
is 4657, corresponding to 4.1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> of the 1815–1817 data set. Most of
the flagged observations correspond to long periods in a few series where we
detected large inhomogeneities: Madrid (whole year 1815 flagged), New Haven
(most of autumn and winter of 1815/16), Valencia (all summer observations),
Växjö (whole 1817) and Ylitornio (11 months in 1817). The number of
flagged observations for each series is indicated in Table <xref ref-type="table" rid="Ch1.T1"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>Monthly temperature anomalies in Central Europe (Southern Germany, Bohemia, Austria,
and Switzerland) in the period 1815–1817 with respect to 1801–1830 (bars) and 1961–1990
(segments). Data are from Dobrovolný et al. (2010).</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015-f04.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS3.SSS7">
  <title>Interpolation on regular time steps</title>
      <p>Another requirement for a synoptic analysis is that observations must be
simultaneous. To achieve this, we linearly interpolated all pressure
observations to four daily, equally spaced time steps: 00:00, 06:00, 12:00 and
18:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UTC</mml:mi></mml:math></inline-formula>. If no observations of a certain station were available
within <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> from a certain time step, then we did not
interpolate and considered the station to have no data for that specific time
step. In Europe (on which our analysis will focus), most observations were made
very close to 06:00, 12:00 and 18:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UTC</mml:mi></mml:math></inline-formula>; interpolated values for
00:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UTC</mml:mi></mml:math></inline-formula> are in general less reliable and will not be analysed.
Across all stations, the mean absolute differences between the interpolated
values and the closest observations are 0.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> for
00:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UTC</mml:mi></mml:math></inline-formula>, 0.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> for 06:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UTC</mml:mi></mml:math></inline-formula>, 0.4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> for
12:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UTC</mml:mi></mml:math></inline-formula> and 0.8 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> for 18:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UTC</mml:mi></mml:math></inline-formula>. By using a
linear interpolation, we did not account for the daily cycle of pressure; this
choice does not significantly affect the results because the amplitude of
the daily cycle is much smaller than the day-to-day variability that we want
to study.</p>
      <p>We did not interpolate outside temperature observations because of their
larger daily cycle and its strong dependance on other meteorological
variables such as cloud cover and wind.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Analysis</title>
<sec id="Ch1.S3.SS1">
  <title>The post-Tambora period in monthly data sets</title>
      <p>We start the analysis with a brief overview of the circulation and
temperature anomalies that characterized the period from 1815 to 1817 in
Europe. For this, we exploit seasonal gridded SLP fields statistically
reconstructed by <xref ref-type="bibr" rid="bib1.bibx46" id="text.51"/> using station pressure series
and ships' logbook information from the northern North Atlantic. We also use
the monthly temperature series for central Europe from
<xref ref-type="bibr" rid="bib1.bibx28" id="text.52"/>, based on 11 homogeneous temperature series of
stations located in southern Germany, Bohemia, Austria and Switzerland in 1760–2007 and on documentary index series in 1500–1759.</p>
      <p>Figure 4 shows the monthly temperature anomalies in central Europe with
respect to a contemporary and a modern climatology. From June 1815 to
December 1816, almost all months had negative anomalies. However, the largest
negative anomaly was registered in April 1817, the coldest April of the
entire series (i.e. in more than 500 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">years</mml:mi></mml:math></inline-formula>). The summer (June to
August) of 1816 was the coldest in the instrumental part of the series and
the second-coldest since 1500.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Seasonal SLP anomalies (in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>) in Europe for winter (DJF),
spring (MAM), summer (JJA) and autumn (SON) for the years 1815–1817
(reference period 1961–1990), reconstructed by
<xref ref-type="bibr" rid="bib1.bibx46" id="text.53"/>.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015-f05.png"/>

        </fig>

      <p>Winters following large tropical volcanic eruptions are often stormier and
warmer than the average over northern Europe and drier over the Iberian
Peninsula <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx32" id="paren.54"/>. This is caused by the
increased meridional temperature gradient in the stratosphere produced by
volcanic aerosols, which supports a more positive North Atlantic Oscillation
(NAO) in the troposphere <xref ref-type="bibr" rid="bib1.bibx44" id="paren.55"><named-content content-type="pre">e.g.</named-content></xref>. The winter of
1815/16 did not follow this rule and was colder than usual in central and
northern Europe, despite a mild period in January <xref ref-type="bibr" rid="bib1.bibx70" id="paren.56"><named-content content-type="pre">Fig. 4; see
also</named-content></xref>. SLP anomalies (Fig. 5) in fact resemble a weak
negative NAO and are very similar to those reconstructed for the other
seasons of 1816. By contrast, the winter of 1816/17 had a strong positive NAO
and brought substantial warm anomalies in Europe (Fig. 4).</p>
      <p>The spring of 1817 was again much colder than the climatology, but the SLP
pattern was different than that of 1816. In Sect. <xref ref-type="sec" rid="Ch1.S3.SS3"/> we describe this pattern and its effects on central and southern Europe in more detail.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Storminess</title>
      <p>One of the advantages of daily pressure observations with respect to monthly
data is the possibility to study variability on the timescales of the
typical large-scale weather phenomena. In particular, the variance in bandpass-filtered daily pressure observations (hereafter “storminess”) is
related to the frequency of stormy weather caused by extratropical cyclones
and is commonly used for storm track analysis
<xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx18" id="paren.57"><named-content content-type="pre">e.g.</named-content></xref>. In this section,
we apply a 2–6-day bandpass Lanczos filter
<xref ref-type="bibr" rid="bib1.bibx30" id="paren.58"/> with a 31-day convolution vector to
analyse winter and summer storminess in 1815–1817 in Europe and
north-eastern North America.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>SD of daily (12:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UTC</mml:mi></mml:math></inline-formula>) bandpass-filtered SLP (in
<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>) in winter (120-day period starting on 15 November). Contours show
the 1961–1990 climatology in the Twentieth Century Reanalysis. Points
represent observations for 1815/16, 1816/17 and 1817/18 in terms of anomalies
from the nearest grid point in the reanalysis.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015-f06.png"/>

        </fig>

      <p>We use only interpolated SLP observations at 12:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UTC</mml:mi></mml:math></inline-formula> because this
is the only time step available for every series. Furthermore, we require at
least 90 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> of the 12:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UTC</mml:mi></mml:math></inline-formula> values to be available in
a certain season to calculate the variance for that season. To analyse
winters we apply the filter to the 120-day period from 15 November to
14 March (13 March in leap years) and for summers to the period from 18 May to
14 September.</p>
      <p>The storminess for the winters of 1815/16, 1816/17 and 1817/18 is shown as SD
in the last three panels of Fig. 6, where instead of absolute values we
plotted the anomalies from the 1961–1990 climatology of the closest grid
point in the Twentieth Century Reanalysis (contours in Fig. 6). This
analysis also constitutes a useful tool to verify the quality of the data. It
is particularly evident from the map of 1816/17 that one station in Spain
(Valencia) is not reliable, having too high a variability, and likewise one
in North America (New Haven), which seems to have too low a variability when
compared to the neighbouring stations. The observations in these two stations
were corrected for temperature using, respectively, in situ outside
temperature and climatologies from the reanalysis. For Valencia, a systematic
error similar to that described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS3"/> for Natchez is a
possible contributor to the overestimation of the variance, while the
continental climate of New Haven introduces large uncertainties in the
absence of detailed metadata. A suspiciously low variability also affects the
series from Växjö (southern Sweden) in the winter of 1815/16. For this
station the temperature of the barometer was available; therefore, the
problem originates from the raw observations.</p>
      <p>The difference between the winters of 1815/16 and 1816/17, which is very
clear when looking at mean SLP fields (Fig. 5), disappears for the variance.
The storminess anomalies suggest an eastward shift of the storm track in both
winters, since the variance in all stations in North America is reduced by
about 20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula>, while it is increased by approximately the same amount
in north-eastern Europe. The few stations available in 1817/18 are enough to
see a very different situation in terms of storminess, with a reduction in
northern Europe and positive anomalies in southern Europe and New England.</p>
      <p>SLP has climatologically a much lower spatial and temporal variability in
summer (contours in Fig. 7), and it is difficult to interpret the results in
terms of storm track, since baroclinic instability is much reduced. The
summers of 1815 and 1816 (Fig. 7) show quite a similar pattern of
variability in Europe, in particular a reduced storminess in northern Europe.
The summer of 1817 has a higher variability in Europe than that of 1816.
There are indeed indications that the summer of 1817 was also a very wet
season in Europe, although not particularly cold (see Fig. 4); in
Geneva, for example, 1817 had one of the wettest summers of the period
1799–1821, that of 1816 being the wettest <xref ref-type="bibr" rid="bib1.bibx3" id="paren.59"/>. In
New England, the storminess of 1816 is similar to that of 1817. Additionally,
the maps further support the idea that the variability in the series from New Haven is too low.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Synoptic analysis for three case studies in Europe</title>
<sec id="Ch1.S3.SS3.SSS1">
  <title>Statistical correction</title>
      <p>Even though the results of the previous section demonstrate a good
consistency among the variability in most of the series, the lack of metadata
for many of them causes large systematic errors in the mean values.
A statistical approach is the only viable option to obtain absolute SLP
values accurate enough for a synoptic analysis; thus, we use the
reconstruction by <xref ref-type="bibr" rid="bib1.bibx46" id="text.60"/> as a reference to correct the
land series in Europe.</p>
      <p>It is important to mention that the reconstruction is not independent; in
fact, the monthly means of 16 series in our collection were used as input
for the reconstruction. However they were all homogenised by
<xref ref-type="bibr" rid="bib1.bibx46" id="text.61"/>; therefore, we are confident that the
reconstruction offers the best possible estimation of mean SLP and that the
application of the corrections guarantees a better reliability of synoptic
weather maps.</p>
      <p>Using the original SLP observations, we calculated seasonal means for each
series in the period 1815–1817 and then applied a constant offset necessary
to match the 1815–1817 seasonal means of the nearest grid point in the
reconstruction. This was possible only if enough data were available: we
calculated the offset using only the years with at least 90 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> of the
days in the target season having at least one observation available. When
a series does not have enough data in any year for a certain season, we used
the average of the offsets from the available seasons. The seasonal offsets
were then applied directly to the interpolated SLP values described in
Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS7"/>.</p>
      <p>If the data are insufficient in every season, the series is not used in this
section. This was the case for Derby, which has only 1 month of data.
Moreover, we excluded the series from Valencia and Växjö, which showed low
reliability in the previous section. We did not correct the already
homogenised series from Milan and Stockholm.</p>
      <p>Since the reconstruction is based on monthly means, in turn calculated from
daily means, we must apply a further correction to the offsets to take into
account that our data are instantaneous observations rather than daily means.
For this, we estimated the mean daily cycle of SLP for each season from the
1981–2010 climatology of the closest grid point of the MERRA (Modern-Era Retrospective analysis for Research and Applications) reanalysis <xref ref-type="bibr" rid="bib1.bibx61" id="paren.62"/>. MERRA offers the
advantage of an hourly resolution and a higher spatial resolution
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> latitude <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">3</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> longitude) than the Twentieth
Century Reanalysis. For stations with variable observation times, we used for
the calculation the observation times (rounded to the hour) adopted most
frequently at the target station in the target season. The resulting
corrections are very small for all series and smaller than 1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> even
for stations with only one observation per day.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Similar to Fig. 6 but for summer (120-day period starting on 18 May).</p></caption>
            <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015-f07.png"/>

          </fig>

      <p>On the other hand, the total statistical corrections are in some cases larger
than 10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> (Fig. 8), while their root mean square is
4.4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>. The average correction (thick line in Fig. 8) has
a seasonal cycle with a peak-to-peak amplitude of 1.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>, indicating
overestimated values in winter relative to summer. This is nothing more than what we
expected because of incorrect temperature corrections for barometers in heated
rooms (Fig. 3a and b).</p>
      <p>The largest corrections are usually related to amateur observatories with
scarce metadata and with the temperature of the barometer missing, but in some cases
(e.g. Prague) they are also related to official observatories with high scientific standards.
An important source of systematic errors is the uncertainty of the barometer
elevation: according to Eq. (8), considering a standard atmosphere, an
uncertainty of 20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> (which applies to most stations) results in an
uncertainty in SLP of about 2.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> near the sea level or less for
higher elevations. Moreover, the statistical correction can also take into
account capillarity (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS2"/>), which is probably the reason
why the majority (about two thirds) of the applied offsets are positive
(capillarity always causes an underestimation in mercury barometers) and represent the main contributor to the large corrections needed in some of the
official observatories.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Seasonal corrections applied for the case studies. Each colour
represents a different station in Europe; the thick black line is the average
of all corrections. The names of the stations with mean absolute corrections
larger than 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> are also printed.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015-f08.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <title>Cold spells in winter 1815/16</title>
      <p>As already mentioned, the winter of 1815/16 was not a typical post-volcanic
winter in terms of temperatures, being colder than usual in most of Europe. From our temperature data we
detected two severe cold spells that hit in quick succession between
the end of January and the first half of February, which significantly
contributed to the cold anomaly. We use these two cold spells as a case study
to evaluate the quality of the corrected SLP data set.</p>
      <p>Figure 9 shows four SLP synoptic maps corresponding to the initial phase of
the two cold spells. We
plotted the 06:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UTC</mml:mi></mml:math></inline-formula> time step because more temperature observations
(also shown in the maps) are available near that time.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Synoptic maps for the two main cold spells in Europe during winter
1815/16. Coloured points represent SLP observations (in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>). To
facilitate interpretation, isobars at intervals of 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> are drawn
using inverse distance weights, and the approximate position of pressure
minima and maxima are indicated by the letters L and H, respectively. White
numbers represent temperatures (in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) observed within <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015-f09.png"/>

          </fig>

      <p>A common SLP pattern is evident for the two cold spells, although the one in
February, the most severe, is characterised by much lower pressure values. In
both cases there is a low-pressure system over southern Europe and a high
pressure area over northern Europe (note that the position of the centre of
cyclones and anticyclones drawn by the isobars in the maps is often an
artefact due to the lack of observations near the borders, in particular in
the Mediterranean). This pattern represents a typical blocking situation and
drives a westward flow of cold continental air towards western Europe
<xref ref-type="bibr" rid="bib1.bibx60" id="paren.63"><named-content content-type="pre">e.g.</named-content></xref>, consistent with a severe cold outbreak.</p>
      <p>A curious anecdote is related to the cold spell of February 1816. Samuel
Parkes, a contemporary British chemist, exploited the unusual cold for an
experiment on the freezing point of wine. His results were published as
a short article in the first issue of <italic>The Quarterly Journal of Science, Literature and the Arts</italic>, where he reported that the temperature on the
morning of 9 February (probably near his house in London) was
“22<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> below the freezing point”, which, assuming a Fahrenheit
scale, corresponds to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. On the following night another
London chemist, Luke Howard, made several observations with different
thermometers in Tottenham (<italic>Annals of Philosophy</italic>, vol. 7). On 10
February at 07:30 LT he measured a temperature of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>,
ca. 2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> (8 feet) above the ground. According to Howard, this was the
lowest value measured in London since 1797.</p>
      <p>According to our data set, temperatures were particularly low in Sweden,
reaching <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>38.5 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in Umeå and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>37 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in
Härnösand, while the absolute minimum was measured in Ylitornio (Finland)
with <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>40 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (not shown). The homogenised series from Stockholm
allows a comparison with modern data: in the reference period 1961–1990
there were three cold spells that were more severe than that of February
1816. However, cold spells of this magnitude were probably not as rare in the
early instrumental period. In fact, <xref ref-type="bibr" rid="bib1.bibx54" id="text.64"/> and
<xref ref-type="bibr" rid="bib1.bibx4" id="text.65"/> found a particularly high frequency of very cold
winter days in Stockholm and Uppsala in the late 18th and early 19th century,
although they warned that the data might still be affected by inhomogeneities.
Daily temperatures lower than those of February 1816 were registered, for
example, in January 1814 and again in December 1817. Similar results (not
shown) are obtained by analysing the temperature series from St. Petersburg, in
north-western Russia <xref ref-type="bibr" rid="bib1.bibx39" id="paren.66"/>.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <title>Summer 1816</title>
      <p>We analyse here one case at the beginning of July, one of the coldest periods
of the summer of 1816 in central Europe <xref ref-type="bibr" rid="bib1.bibx3" id="paren.67"><named-content content-type="pre">i.e. about 7 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> colder
than usual in Geneva; see</named-content></xref>. There was abundant
rainfall in the Alps, where, in the night between 3 and 4 July, a huge
landslide, about 300 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> wide, killed at least 14 people near the town
of Uznach in eastern Switzerland (Erdrutsch in der Au (Goldingertal):
Situationsplan, State Archives St. Gallen, Ref. KPG 1/65.1, 7/16).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>Similar to Fig. 9, but showing maps for the first 4 days of
July 1816 at 12:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UTC</mml:mi></mml:math></inline-formula>. Note that the colour scale has changed and
isobars are drawn at intervals of 2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015-f10.png"/>

          </fig>

      <p>A shallow low-pressure system crossed the Alps between 1 and 2 July
(Fig. 10), which is consistent with cold and rainy weather, and then
probably moved to south-eastern Europe on 3 July, when easterly winds were
observed at the stations in eastern Europe (not shown). Afterwards, the Alps
remained under the influence of unstable air coming from the Atlantic for
several days. The weather diary kept for Aarau, in northern Switzerland,
reports precipitation every day until 19 July, always accompanied by
westerly winds except on 1 day.</p>
      <p>An area of high pressure was present over north-eastern Europe during the
whole period shown in Fig. 10, suggesting fair weather there (confirmed by
temperatures). In particular, in the north-eastern corner the maps show
temperatures registered in Ylitornio at 14:00 LT which are remarkably high
for that latitude (the maximum temperature is reached on 5 July at
31 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, not shown). The quality of the measurements is
questionable <xref ref-type="bibr" rid="bib1.bibx45" id="paren.68"><named-content content-type="pre">see</named-content></xref>; however, it is
interesting to note that the average 14:00 LT temperature measured in
Ylitornio in the first week of July 1816 is 9 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> higher than
the average 14:00 LT temperature of the whole summer 1816. Therefore, our
data suggest the occurrence of a heatwave in north-eastern Europe in
conjunction with the cold period in western Europe. Again, the daily temperature series from St. Petersburg supports
our conclusion, indicating 13 consecutive days (6–18 July) with a mean daily
temperature of <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn>20</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, the longest such series in the years
1815–1817. The month of July as a whole had, nevertheless, slightly negative
temperature anomalies in that region <xref ref-type="bibr" rid="bib1.bibx47" id="paren.69"/>, showing how
even relatively long-lasting events can be overlooked when considering
monthly means only. Note also that the SLP values in Ylitornio are clearly
underestimated in the analysed period, and in general they are not very
reliable because of the continental climate of the region (see
Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS3"/>).</p>
</sec>
<sec id="Ch1.S3.SS3.SSS4">
  <title>April 1817</title>
      <p>After a relatively mild winter, the spring of 1817 struck a serious blow to
Europe. In particular, as already mentioned, the month of April was extremely
cold (see Fig. 4).</p>
      <p>To gather more information on the most important weather events that
distinguished this month, we examined contemporary newspapers and other
historical sources. The worst affected area was probably the northern
slope of the Alps. Exceptional snowfalls and avalanches were often reported
in that month, especially in Austria: in Innsbruck (574 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> a.s.l.),
for instance, snow fell on 18 out of 30 days <xref ref-type="bibr" rid="bib1.bibx33" id="paren.70"/>, while over 2 m of snow were reported in
Annaberg (976 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>), near Vienna, after 16 consecutive days of snowfall (Lemberger Zeitung, 9 May 1817). At Buchlovice
(234 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>, south-east Moravia), a priest, Šimon Hausner, recorded
snowfall on 11–14, 19–26 and 28 April, i.e. on 13 days (with another
2 days with sleet). Permanent frosts were also typical in this month.
Hausner concluded that “no previous April has been this bad” (Tägliche
Witterungs-Beobachtungen des Buchlowitzer Pfarrer Simon Hausner von Jahren
1803 bis 1831 excl., Moravský zemský archiv Brno, fond G 138 Rodinný
archiv Berchtoldů (1202) 1494–1945, inv. č. 851).</p>
      <p>One episode in particular attracted the attention of newspapers. In 1817 the
Austrian foreign minister, the influential Prince von Metternich, had
organised an ambitious scientific expedition to Brazil, the first major
overseas mission ever undertaken by the Austrian navy. On 10 April two
frigates, the <italic>Austria</italic> and the <italic>Augusta</italic> (Fig. 11), weighed
anchor from the port of Trieste, in today's north-eastern Italy, and headed to
Rio de Janeiro. On the morning of the second day of navigation, near the
coast of Istria, the ships were surprised by a violent storm and suffered
heavy damage. The <italic>Austria</italic> was able to dock in Pula (today's Croatia)
and could resume the journey after only 1 week. The <italic>Augusta</italic> was
shorter on luck, losing all its masts, sails and boats, and reached the port
of Chioggia, near Venice, with great difficulties, 4 days after the storm
hit. The repair of the ship took about 7 weeks.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>The frigates <italic>Austria</italic> and <italic>Augusta</italic> in the port of
Trieste on 9 April 1817 in a coloured engraving by G. Passi. Source:
Österreichische Nationalbibliothek (Bildarchiv und Grafiksammlung, PK 286),
Vienna, Austria.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015-f11.jpg"/>

          </fig>

      <p>Many renowned scientists and intellectuals were on board the two
frigates. Among them were two members of the Bavarian Academy of Sciences:
Johannes Baptist von Spix (biologist) and Carl Friedrich Philipp von Martius
(botanist), who were on the <italic>Austria</italic>. Their detailed account of the
expedition <xref ref-type="bibr" rid="bib1.bibx64" id="paren.71"/> gives us a description of the storm:<disp-quote>
  <p>“The night passed over quietly; but in the morning we were all awakened from
our sleep by an uncommonly violent motion of the ship. Those whom
sea-sickness had not rendered insensible, readily perceived […] that we
were in a great storm.</p>
  <p>The Bora, a cold, very violent north-east wind, which, especially in spring,
frequently blows from the Istrian mountains, and prevails in the northern
part of the Adriatic sea, had suddenly assailed the two ships. A black cloud,
hanging very low, was the only indication that the officer on duty had of the
approach of the gale; so that there was scarcely time to take in the sails.
In a few minutes we lost sight of the Augusta, which hitherto had kept at
a small distance from us. A thick fog enveloped our ship; a cold rain, mixed
with hailstones, which the storm furiously drove before it, covered the deck
with pieces of ice of considerable size, and almost froze the crew. The ship
was tossed violently; the yards and tackle were torn and broken: the waves
rushed through the window into the forecastle, partly filled the hold with
water; and at last, when the storm was at its height, the bowsprit broke
short off. The hurricane raged with the utmost fury till noon, when the sea
grew calmer, and the bleak Bora being succeeded by a mild east wind, we cast
anchor in the middle of the sea, about three miles to the west of Rovigno.”</p>
</disp-quote></p>
      <p>As suggested by the two German scientists, who demonstrate a remarkable
knowledge of climatology, the storm was related to a severe bora wind event
<xref ref-type="bibr" rid="bib1.bibx77" id="paren.72"/>. The event was also felt in most of the Po Valley
(northern Italy), where four of the stations in our data set are located. The
observatories of Padua and Bologna, which are close to the Adriatic coast,
reported thunderstorms, very strong wind from the north-east and
snow flakes on that day. Newspapers reported heavy snowfall in the eastern Alps during
the same event; in particular, about 50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> of snow were measured in
northern Slovenia and 10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> in the city of Klagenfurt (Gazzetta di
Milano, 8 May 1817).</p>
      <p>In Fig. 12 we show the synoptic maps for 10 and 11 April. The position of
the Austrian frigates in the morning of 11 April is marked by a star in the
third map. Again, we are dealing with a blocking pattern, characterized by
high pressure over north-western Europe and low pressure over Fennoscandia.
This configuration represents the negative phase of the so-called
Scandinavian pattern <xref ref-type="bibr" rid="bib1.bibx62" id="paren.73"><named-content content-type="pre">e.g.</named-content></xref>, which is normally
completed by a third pole (in this case, an area of high pressure) over
central Siberia. This pattern stayed in place for most of the month of
April 1817, continuously pumping Arctic cold air towards central and southern
Europe. <xref ref-type="bibr" rid="bib1.bibx31" id="text.74"/> singled out this configuration as the feature most
commonly responsible for widespread exceptional snowfall in Italy.</p>
      <p>A cold air outbreak is the condition necessary for a severe Adriatic bora
storm, and the synoptic pattern of 11 April (third panel in Fig. 12) is in
fact a typical pattern for severe bora events <xref ref-type="bibr" rid="bib1.bibx41" id="paren.75"/>. The
maps show clearly the build-up of a pressure gradient between the northern
and the southern slope of the Alps caused by the interaction of the cold air
with the orographic barrier. It is likely that an orographically induced
cyclone formed in the Mediterranean as a typical “cut-off” and that it
remained there for several days <xref ref-type="bibr" rid="bib1.bibx68" id="paren.76"><named-content content-type="pre">e.g.</named-content></xref>.
<xref ref-type="bibr" rid="bib1.bibx64" id="text.77"/> wrote that when the <italic>Austria</italic> was near the
coast of southern Italy on 22 April, they could see the Gargano promontory, which reaches a maximum elevation of 1065 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>, “covered with
snow very low down”. They also repeatedly reported stormy weather in the
following days, culminating in another violent storm on 27 April that forced
the frigate to seek shelter in Malta. They wrote<disp-quote>
  <p>“On the following morning we were already forty-two leagues to the west of
Malta, when the wind suddenly settled in the N.N.W. It soon increased, and
the waves ran so high, that it was impossible to keep the course to the
south-west. The frigate rolled so violently, that in a short time the
tackling was materially damaged; every thing movable was thrown backwards and
forwards; and it seemed dangerous longer to expose the ship to the fury of
the waves.”</p>
</disp-quote></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p>Similar to Fig. 9 but showing maps for 10–11 April 1817 at
12 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> interval. A star marks the position of the frigates
<italic>Austria</italic> and <italic>Augusta</italic> on the morning of 11 April.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015-f12.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><caption><p>Similar to Fig. 9 but showing maps for 25–27 April 1817 at
12 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> interval. A star marks the position of the frigate
<italic>Austria</italic> on the morning of 27 April.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015-f13.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14" specific-use="star"><caption><p>Daily averages of SST observations made by John Davy during his
voyage to Ceylon in 1816. Contours represent 1961–1990 climatologies in
ERSSTv3b for March (left) and July (right). Colours indicate the difference
between the daily averages and monthly climatologies (nearest grid point). Units
are <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/11/1027/2015/cp-11-1027-2015-f14.png"/>

          </fig>

      <p>The direction of the wind suggests that a cyclone was centred close to
eastern Sicily. Note that the position reported in the official translation
is probably affected by a mistake in the unit conversion: the original German
version reports “vierzig Seemeilen”, literally 40 nautical miles
(74 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>). The word Seemeile was, however, commonly used also to
indicate the “league” (i.e. 3 nautical miles), although it is not clear
why the translator converted it to 42 leagues instead of 40. In any case, we think
that the literal translation gives a more realistic position for the ship,
which would have been only a few kilometres from the coast of Africa
otherwise.</p>
      <p>In fact, between 26 and 27 April another cold outbreak affected southern
Europe. This time the snow fell abundantly even in the Po Valley. In Bologna, about 15 cm (“half shoe”) of snow were reported (Osservazioni meteorologiche 1817, Historical Archives of the Astronomical Department, University of Bologna), again accompanied
by a strong north-easterly wind. The wind was also responsible for the spread
of a fire which destroyed the Hungarian town of Szombathely, near the
Austrian border, where 250 houses were reportedly burned to the ground in the
night between 26 and 27 April (Corriere di Milano, 17 May 1817). Snow
was observed even in Rome, but the exact date is unknown
<xref ref-type="bibr" rid="bib1.bibx48" id="paren.78"/>; in any case it would be the latest snowfall ever
recorded in Rome.</p>
      <p>The synoptic pattern underlying this event is shown in Fig. 13. Again,
a star marks the position of the frigate <italic>Austria</italic> when it was hit by
the second storm. The large-scale SLP pattern had not changed from 11 April,
but the temperatures registered were even lower in some places, despite the
season being advanced, and stayed low for days. On 29 April,
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> were measured in Geneva, the lowest temperature of the
whole spring there. At the beginning of May, in the Austrian Alps at
600 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> a.s.l., the snow was still “higher than fences”
<xref ref-type="bibr" rid="bib1.bibx33" id="paren.79"/>. When temperatures finally returned to more
usual levels, the enormous amount of snow in the mountains melted rapidly
(including the snow that had not melted in the previous summer), causing
widespread floods in the Alps and surrounding regions
<xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx56 bib1.bibx73" id="paren.80"><named-content content-type="pre">e.g.</named-content></xref>.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <title>John Davy's logbook</title>
      <p>A unique record among the ships' logbooks in the collection describes
a voyage from England to Ceylon (today's Sri Lanka) of John Davy, a doctor
and chemist from Cornwall. With the help of two fellow travellers, Davy was
able to measure air and sea surface temperature (SST) every 2 hours, day
and night, for most of the journey.</p>
      <p>Unlike marine air temperature <xref ref-type="bibr" rid="bib1.bibx9" id="paren.81"><named-content content-type="pre">e.g.</named-content></xref>, early
instrumental SST observations have not received much attention in the
literature, probably because of the much smaller amount of available records.
For this reason, it can be interesting to compare Davy's observations with
modern SST climatologies.</p>
      <p>Davy described the measurement procedure in a letter to his brother <xref ref-type="bibr" rid="bib1.bibx26" id="paren.82"/>:</p>
      <p><disp-quote>
  <p>“The water used was taken from the surface of the ocean, in a large clean
bucket. […] For ascertaining the temperature of the air and of the water
of the ocean, I used delicate pocket-thermometers, the bulbs of which
projected about an inch from the ivory scale. In the experiments on the
temperature of the ocean, the water was tried the instant it was drawn,
before it was affected by the air.”</p>
</disp-quote></p>
      <p>Figure 14 shows a comparison of daily means measured by Davy in the
tropical Atlantic (March 1816) and Indian (July–August 1816) oceans with the
respective 1961–1990 monthly SST climatologies from the ERSSTv3b (Extended
Reconstructed Sea Surface Temperature, version 3b) data set <xref ref-type="bibr" rid="bib1.bibx63" id="paren.83"/>.
For the Indian Ocean, we used July climatologies (differences between July
and August climatologies are negligible near the Equator). The magnitude of
the anomalies (up to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>) suggests a cold bias in Davy's
observations with respect to modern data, which is to be expected from
uninsulated bucket measurements <xref ref-type="bibr" rid="bib1.bibx34" id="paren.84"><named-content content-type="pre">e.g.</named-content></xref>. On the
other hand, SST reconstructions from proxies support extremely cold anomalies
in the Indian Ocean in 1816: recently <xref ref-type="bibr" rid="bib1.bibx69" id="text.85"/>, using
available coral archives, ranked 1816 as the third-coldest year of the last 4
centuries in the tropical Indian Ocean.</p>
      <p>Assuming a constant bias in Davy's observations, we can at least speculate on
the spatial distribution of the anomalies. The largest negative anomalies are
near the Equator in both oceans; in the Indian Ocean, they cover the region
where SSTs correlate best with proxies <xref ref-type="bibr" rid="bib1.bibx69" id="paren.86"/>. The other two
areas of large negative anomalies (not shown) were crossed by Davy in the
midlatitudes of the Southern Hemisphere (between 30 and 35<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S),
around the longitudes 0<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>(April 1816) and 60<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E (June 1816).</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p>We described a collection of hundreds of thousands of surface pressure and
temperature observations covering the early instrumental period and in
particular the years following the eruption of Mount Tambora in 1815, which had
an impact on global climate and probably contributed to important changes in
the atmospheric circulation of the Northern Hemisphere. An anomalous
circulation pattern affected in particular Europe, where most of the data are
centred, during the summer of 1816, causing widespread famine and social
unrest.</p>
      <p>We applied standard physical corrections (for temperature and gravity) to the
pressure readings and reduced them to mean sea level. An additional
statistical correction was necessary to produce reliable absolute sea level
pressure values because metadata are usually insufficient for this purpose.
An analysis of the data in the period 1815–1817 revealed realistic and
spatially consistent behaviour of the corrected pressure observations, both
concerning their variability and their absolute values. We found only a small
fraction of the 49 land series to have evident problems in terms of data
quality in at least part of the period, usually related to a lack of
metadata.</p>
      <p>Pressure variability during the wet and cold summer of 1816 was high in
southern Europe and in New England when compared to modern climatology,
suggesting an increased baroclinic instability in those regions. The variability of the summer of 1817 was even higher, particularly in western Europe.</p>
      <p>One of the case studies that we described showed an example of an extratropical cyclone affecting the Alps in July 1816. The other case studies gave some insights into a series of cold
outbreaks that affected Europe in the winter of 1815/16 and in the spring of
1817, the latter resulting in the coldest April ever observed in the Alpine
region. The recovered data allow similar analyses for specific events in the
period 1801–1820, while the quantity of digitised observations becomes
increasingly smaller before and after that period.</p>
      <p>We also analysed a record of SST observations made in the tropical Atlantic
and Indian oceans in 1816. Even though more data would be necessary to
increase the robustness of the results, we showed indications of large cold
anomalies near the Equator, which would be consistent with reconstructions
from coral archives <xref ref-type="bibr" rid="bib1.bibx69" id="paren.87"/>.</p>
      <p>Direct applications of this data set are limited by its low spatial coverage.
For instance, in Europe the lack of data in key regions such as the North
Atlantic and the Mediterranean prevents a complete analysis of synoptic
patterns, although we showed that documentary sources can give valuable
assistance. On the other hand, the data can be a useful resource for numerical
weather model simulations in order to produce a complete four-dimensional
reanalysis. With this in mind, the data set will be made available in its raw format
(uncorrected original observations) in the International Surface Pressure
Databank <xref ref-type="bibr" rid="bib1.bibx76" id="paren.88"/> and will be assimilated into a reanalysis
using the scheme of the Twentieth Century Reanalysis
<xref ref-type="bibr" rid="bib1.bibx21" id="paren.89"/>.</p>
      <p>This paper also gives a picture of the quantity of meteorological
observations available for the early instrumental period (the majority of
which have not been digitised yet) and of their potential for climate
research. In particular, future initiatives aimed at the recovery of
historical records in the North Atlantic and the Mediterranean would make an
important contribution to our understanding of the climatic changes that occurred
in Europe during the 18th and the 19th centuries.</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/cp-11-1027-2015-supplement" xlink:title="pdf">doi:10.5194/cp-11-1027-2015-supplement</inline-supplementary-material>.</bold><?xmltex \hack{\vspace{-4mm}}?></p></supplementary-material>
        </app-group><ack><title>Acknowledgements</title><p>This work was supported by the Atmospheric Circulation Reconstructions over
the Earth (ACRE) initiative (<uri>www.met-acre.org</uri>), the Swiss National
Science Foundation (SNF) Sinergia project FUPSOL-II (Grant CRSII2-147659) and
the EU Horizon 2020 EUSTACE project (Grant Agreement no. 640171). Renate
Auchmann was supported by the SNF project TWIST (200021_146599/1), Rob Allan
by the EU FP7 ERA-CLIM2 (European Reanalysis of Global Climate Observations
2) project and the Met Office Hadley Centre Climate Program (HCCP), Rudolf
Brázdil by the Grant Agency of the Czech Republic for the project
no. P209/11/0956, Ladislava Řezníčková by the Ministry of
Education, Youth and Sports of the Czech Republic within the National Sustainability
Program I (NPU I, grant no. L01415), Janusz Filipiak by the Polish National
Science Centre (grant no. 2012/07/B/ST10/04214) and Fernando Domínguez-Castro
by the Prometeo Project, Secretariat of Higher Learning, Science, Technology
and Innovation. Support for the Twentieth Century Reanalysis Project data set
is provided by the US Department of Energy, Office of Science Innovative and
Novel Computational Impact on Theory and Experiment (DOE INCITE) program, and
Office of Biological and Environmental Research (BER), and by the National
Oceanic and Atmospheric Administration Climate Program Office. We are
grateful to the many people who helped in the collection of manuscripts and
metadata, including the personnel of the archives and libraries that we
visited or contacted. The contributions
and suggestions of James P. Bowen, William Brown, Michele Brunetti,
Dario Camuffo, Martín Jacques-Coper, A. José Leonardo, Raphael Neukom,
Matthias Röthlisberger, Arturo Sanchez-Lorenzo, Alexander Stickler and
Clive Wilkinson, in particular, were much appreciated. We also thank the three anonymous reviewers for their useful
feedback. Twentieth Century Reanalysis data were provided by the NOAA/OAR/ESRL
PSD, Boulder, Colorado, USA, from their website at
<uri>http://www.esrl.noaa.gov/psd/</uri>. MERRA data were provided by the NASA
Global Modeling and Assimilation Office (GMAO) and the NASA GES DISC.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: E. Zorita</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Abel(1818)</label><mixed-citation>
Abel, C.: Narrative of a Journey in the Interior of China, Longman and Co., London, 1818.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Ansell et al.(2006)Ansell, Jones, Allan, Lister, Parker, Brunet, Moberg, Jacobeit, Brohan,  Rayner, Aguilar,
Alexandersson, Barriendos, Brandsma, Cox, Della-Marta, Drebs, Founda, Gerstengarbe, Hickey, Jónsson, Luterbacher, Nordli,
Oesterle, Petrakis, Philipp, Rodwell, Saladie, Sigro, Slonosky, Srnec, Swail, Tuomenvirta, Wang, Wanner, Werner, Wheeler, and Xoplaki</label><mixed-citation>
Ansell, T. J., Jones, P. D., Allan, R. J., Lister, D., Parker, D. E.,
Brunet, M., Moberg, A., Jacobeit, J., Brohan, P., Rayner, N. A., Aguilar, E.,
Alexandersson, H., Barriendos, M., Brandsma, T., Cox, N. J.,
Della-Marta, P. M., Drebs, A., Founda, D., Gerstengarbe, F., Hickey, K.,
Jónsson, T., Luterbacher, J., Nordli, O., Oesterle, H., Petrakis, M.,
Philipp, A., Rodwell, M. J., Saladie, O., Sigro, J., Slonosky, V., Srnec, L.,
Swail, V García-Suárez, A. M., Tuomenvirta, H., Wang, X., Wanner, H.,
Werner, P., Wheeler, D., and Xoplaki, E.: Daily mean sea level pressure
reconstructions for the European-North Atlantic region for the period
1850–2003, J. Climate, 19, 2717–2742, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Auchmann et al.(2012)Auchmann, Brönnimann, Breda, Bühler, Spadin, and Stickler</label><mixed-citation>Auchmann, R., Brönnimann, S., Breda, L., Bühler, M., Spadin, R., and
Stickler, A.: Extreme climate, not extreme weather: the summer of 1816 in
Geneva, Switzerland, Clim. Past, 8, 325–335,
doi:<ext-link xlink:href="http://dx.doi.org/10.5194/cp-8-325-2012">10.5194/cp-8-325-2012</ext-link>,
2012.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Bergström and Moberg(2002)</label><mixed-citation>
Bergström, H. and Moberg, A.: Daily air temperature and pressure series
for Uppsala (1722–1998), Climatic Change, 53, 213–252, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Blackmon et al.(1977)Blackmon, Wallace, Lau, and Mullen</label><mixed-citation>
Blackmon, M. L., Wallace, J. M., Lau, N.-C., and Mullen, S. L.: An
observational study of the Northern Hemisphere wintertime circulation, J.
Atmos. Sci., 34, 1040–1053, 1977.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Böhm et al.(2010)Böhm, Jones, Hiebl, Frank, Brunetti, and Maugeri</label><mixed-citation>
Böhm, R., Jones, P. D., Hiebl, J., Frank, D., Brunetti, M., and
Maugeri, M.: The early instrumental warm-bias: a solution for long central
European temperature series 1760–2007, Climatic Change, 101, 41–67, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Brázdil et al.(2008)Brázdil, Kiss, Luterbacher, and Valášek</label><mixed-citation>
Brázdil, R., Kiss, A., Luterbacher, J., and Valášek, H.:
Weather patterns in eastern Slovakia 1717–1730, based on records from the
Breslau meteorological network, Int. J. Climatol., 28, 1639–1651, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Briffa et al.(1998)Briffa, Jones, Schweingruber, and Osborn</label><mixed-citation>
Briffa, K. R., Jones, P. D., Schweingruber, F. H., and Osborn, T. J.:
Influence of volcanic eruptions on Northern Hemisphere summer temperature
over the past 600 years, Nature, 393, 450–455, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Brohan et al.(2012)Brohan, Allan, Freeman, Wheeler, Wilkinson, and Williamson</label><mixed-citation>Brohan, P., Allan, R., Freeman, E., Wheeler, D., Wilkinson, C., and
Williamson, F.: Constraining the temperature history of the past millennium
using early instrumental observations, Clim. Past, 8, 1551–1563,
doi:<ext-link xlink:href="http://dx.doi.org/10.5194/cp-8-1551-2012">10.5194/cp-8-1551-2012</ext-link>,
2012.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Brönnimann et al.(2006)Brönnimann, Annis, Dann, Ewen, Grant, Griesser, Krähenmann, Mohr, Scherer, and Vogler</label><mixed-citation>Brönnimann, S., Annis, J., Dann, W., Ewen, T., Grant, A. N.,
Griesser, T., Krähenmann, S., Mohr, C., Scherer, M., and Vogler, C.: A
guide for digitising manuscript climate data, Clim. Past, 2, 137–144,
doi:<ext-link xlink:href="http://dx.doi.org/10.5194/cp-2-137-2006">10.5194/cp-2-137-2006</ext-link>,
2006.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Camuffo(2002a)</label><mixed-citation>
Camuffo, D.: Calibration and instrumental errors in early measurements of air
temperature, Climatic Change, 53, 297–329, 2002a.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Camuffo(2002b)</label><mixed-citation>
Camuffo, D.: Errors in early temperature series arising from changes in style
of measuring time, sampling schedule and number of observations, Climatic
Change, 53, 331–352, 2002b.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Camuffo(2002c)</label><mixed-citation>
Camuffo, D.: History of the long series of daily air temperature in Padova
(1725–1998), Climatic Change, 53, 7–75, 2002c.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Camuffo and Jones(2002)</label><mixed-citation>
Camuffo, D. and Jones, P. (Eds.): Improved Understanding of Past Climatic
Variability from Early Daily European Instrumental Sources, Springer,
Dordrecht, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Camuffo et al.(2006)Camuffo, Cocheo, and Sturaro</label><mixed-citation>
Camuffo, D., Cocheo, C., and Sturaro, G.: Corrections of systematic errors,
data homogenisation and climatic analysis of the Padova pressure series
(1725–1999), Climatic Change, 78, 493–514, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Casty et al.(2007)Casty, Raible, Stocker, Wanner, and Luterbacher</label><mixed-citation>
Casty, C., Raible, C. C., Stocker, T. F., Wanner, H., and Luterbacher, J.: A
European pattern climatology 1766–2000, Clim. Dynam., 29, 791–805, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Cavendish(1776)</label><mixed-citation>
Cavendish, H.: An account of the meteorological instruments used at the Royal
Society's House, Phil. Trans., 66, 375–401, 1776.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Chang et al.(2002)Chang, Lee, and Swanson</label><mixed-citation>
Chang, E. K. M., Lee, S., and Swanson, K. L.: Storm track dynamics, J.
Climate, 15, 2163–2183, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Chenoweth(1996)</label><mixed-citation>
Chenoweth, M.: Ships' logbooks and “The Year Without a Summer”, B. Am.
Meteorol. Soc., 77, 2077–2094, 1996.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Compo et al.(2006)Compo, Whitaker, and Sardeshmukh</label><mixed-citation>
Compo, G. P., Whitaker, J. S., and Sardeshmukh, P. D.: Feasibility of a
100-year reanalysis using only surface pressure data, B. Am. Meteorol. Soc.,
87, 175–190, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Compo et al.(2011)Compo, Whitaker, Sardeshmukh, Matsui, Allan, Yin, Gleason, Vose, Rutledge, Bessemoulin,
Brönnimann, Brunet, Crouthamel, Grant, Groisman, Jones, Kruk, Kruger, Marshall, Maugeri, Mok, Nordli, Ross, Trigo, Wang, Woodruff, and Worley</label><mixed-citation>
Compo, G. P., Whitaker, J. S., Sardeshmukh, P. D., Matsui, N., Allan, R. J.,
Yin, X., Gleason, B. E., Vose, R. S., Rutledge, G., Bessemoulin, P.,
Brönnimann, S., Brunet, M., Crouthamel, R. I., Grant, A. N.,
Groisman, P. Y., Jones, P. D., Kruk, M. C., Kruger, A. C., Marshall, G. J.,
Maugeri, M., Mok, H. Y., Nordli, Ø., Ross, T. F., Trigo, R. M.,
Wang, X. L., Woodruff, S. D., and Worley, S. J.: The twentieth century
reanalysis project, Q. J. Roy. Meteor. Soc., 137, 1–28, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Cornes(2008)</label><mixed-citation>
Cornes, R.: The barometer measurements of the Royal Society of London:
1774–1842, Weather, 63, 230–235, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Cornes(2014)</label><mixed-citation>
Cornes, R.: Historic storms of the northeast Atlantic since circa 1700: a
brief review of recent research, Weather, 69, 121–125, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Cornes et al.(2012)Cornes, Jones, Briffa, and Osborn</label><mixed-citation>
Cornes, R. C., Jones, P. D., Briffa, K. R., and Osborn, T. J.: A daily series
of mean sea-level pressure for Paris, 1670–2007, Int. J. Climatol., 32,
1135–1150, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Cram et al.(2015)Cram, Compo, Yin, Allan, McColl, Vose, Whitaker, Matsui, Ashcroft, Auchmann, Bessemoulin, Brandsma, Brohan, Brunet, Comeaux, Crouthamel, Gleason Jr., Groisman, Hersbach, Jones, Jónsson, Jourdain, Kelly, Knapp, Kruger, Kubota, Lentini, Lorrey, Lott, Lubker, Luterbacher, Marshall, Maugeri, Mock, Mok, Nordli, Rodwell, Ross, Schuster, Srnec, Valente, Vizi, Wang, Westcott, Woollen, and Worley</label><mixed-citation>
Cram, T. A., Compo, G. P., Yin, X., Allan, R. J., McColl, C., Vose, R. S.,
Whitaker, J. S., Matsui, N., Ashcroft, L., Auchmann, R., Bessemoulin, P.,
Brandsma, T., Brohan, P., Brunet, M., Comeaux, J., Crouthamel, R., Gleason
Jr., B. E., Groisman, P. Y., Hersbach, H., Jones, P. D., Jónsson, T.,
Jourdain, S., Kelly, G., Knapp, K. R., Kruger, A., Kubota, H., Lentini, G.,
Lorrey, A., Lott, N., Lubker, S. J., Luterbacher, J., Marshall, G. J.,
Maugeri, M., Mock, C. J., Mok, H. Y., Nordli, Ø., Rodwell, M., Ross, T. F.,
Schuster, D., Srnec, L., Valente, M. A., Vizi, Z., Wang, X. L., Westcott, N.,
Woollen, J. S., and Worley, S. J.: The International Surface Pressure
Databank version 2, Geoscience Data Journal, 2, 31–46, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Davy(1817)</label><mixed-citation>
Davy, J.: Observations on the temperature of the ocean and atmosphere, and on
the density of sea-water, made during a voyage to Ceylon, Philos. T. R. Soc.
Lond., 107, 275–292, 1817.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Dawson et al.(1997)Dawson, Hickey, McKenna, and Foster</label><mixed-citation>
Dawson, A. G., Hickey, K., McKenna, J., and Foster, D.: A 200-year record of
gale frequency, Edinburgh, Scotland: possible link with high-magnitude
volcanic eruptions, Holocene, 7, 337–341, 1997.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Dobrovolný et al.(2010)Dobrovolný, Moberg, Brázdil, Pfister, Glaser, Wilson, van Engelen, Limanówka, Kiss, Halíčková, Macková, Riemann, Luterbacher, and Böhm</label><mixed-citation>
Dobrovolný, P., Moberg, A., Brázdil, R., Pfister, C., Glaser, R.,
Wilson, R., van Engelen, A., Limanówka, D., Kiss, A.,
Halíčková, M., Macková, J., Riemann, D., Luterbacher, J.,
and Böhm, R.: Monthly, seasonal and annual temperature reconstructions for
Central Europe derived from documentary evidence and instrumental records
since AD 1500, Climatic Change, 101, 69–107, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Domínguez-Castro et al.(2012)Domínguez-Castro, Ribera, García-Herrera, Vaquero, Barriendos, Cuadrat, and Moreno</label><mixed-citation>Domínguez-Castro, F., Ribera, P., García-Herrera, R.,
Vaquero, J. M., Barriendos, M., Cuadrat, J. M., and Moreno, J. M.: Assessing
extreme droughts in Spain during 1750–1850 from rogation ceremonies, Clim.
Past, 8, 705–722,
doi:<ext-link xlink:href="http://dx.doi.org/10.5194/cp-8-705-2012">10.5194/cp-8-705-2012</ext-link>,
2012.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Duchon(1979)</label><mixed-citation>
Duchon, C. E.: Lanczos filtering in one and two dimensions, J. Appl.
Meteorol., 18, 1016–1022, 1979.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Enzi et al.(2014)Enzi, Bertolin, and Diodato</label><mixed-citation>
Enzi, S., Bertolin, C., and Diodato, N.: Snowfall time-series reconstruction
in Italy over the last 300 years, Holocene, 24, 346–356, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Fischer et al.(2007)Fischer, Luterbacher, Zorita, Tett, Casty, and Wanner</label><mixed-citation>Fischer, E., Luterbacher, J., Zorita, E., Tett, S., Casty, C., and
Wanner, H.: European climate response to tropical volcanic eruptions over the
last half
millennium, Geophys. Res. Lett., 34, L05707, <ext-link xlink:href="http://dx.doi.org/10.1029/2006GL027992" ext-link-type="DOI">10.1029/2006GL027992</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Fliri(1998)</label><mixed-citation>
Fliri, F.: Naturchronik von Tirol, Wagner, Innsbruck, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Folland et al.(1984)Folland, Parker, and Kates</label><mixed-citation>
Folland, C. K., Parker, D. E., and Kates, F. E.: Worldwide marine temperature
fluctuations 1856–1981, Nature, 310, 670–673, 1984.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Geurts and van Engelen(1992)</label><mixed-citation>
Geurts, H. A. M. and van Engelen, A. F. V.: Beschrijving antieke meetreeksen,
Koninklijk Nederlands Meteorologisch Instituut 165-V, KNMI, De Bilt, 1992.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>Golinski(2007)</label><mixed-citation>
Golinski, J.: British weather and the climate of the Enlightenment, The
University of Chicago Press, Chicago, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Hall(1818)</label><mixed-citation>
Hall, B.: Account of a voyage of discovery to the west coast of Corea, and
the great Loo-Choo island, Murray, London, 1818.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>Jelinek(1869)</label><mixed-citation>
Jelinek, C.: Anleitung zur Anstellung meteorologischer Beobachtungen und
Sammlung von Hilfstafeln, K.k. Hof- und Staatsdruckerei, Vienna, 1869.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Jones and Lister(2002)</label><mixed-citation>
Jones, P. and Lister, D.: The daily temperature record for St. Petersburg
(1743–1996), Climatic Change, 53, 253–267, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx40"><label>Jones et al.(1999)Jones, Davies, Lister, Slonosky, Jonsson, Bärring, Jönsson, Maheras, Kolyva-Machera, Barriendos et al.</label><mixed-citation>
Jones, P. D., Davies, T. D., Lister, D. H., Slonosky, V., Jónsson, T.,
Bärring, L., Jönsson, P., Maheras, P., Kolyva-Machera, F.,
Barriendos, M., Martin-Vide, J., Rodriguez, R., Alcoforado, M. J., Wanner,
H., Pfister, C., Luterbacher, J., Rickli, R., Schuepbach, E., Kaas, E.,
Schmith, T., Jacobeit, J., and Beck, C.: Monthly mean pressure
reconstructions for Europe for the 1780–1995 period, Int. J. Climatol., 19,
347–364, 1999.</mixed-citation></ref>
      <ref id="bib1.bibx41"><label>Jurčec(1989)</label><mixed-citation>
Jurčec, V.: Severe Adriatic bora storms in relation to synoptic
developments, Hrvatski meteorološki časopis, 24, 11–20, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx42"><label>Kandlbauer et al.(2013)Kandlbauer, Hopcroft, Valdes, and Sparks</label><mixed-citation>
Kandlbauer, J., Hopcroft, P. O., Valdes, P., and Sparks, R.: Climate and
carbon cycle response to the 1815 Tambora volcanic eruption, J. Geophys.
Res., 118, 12–497, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx43"><label>Kington(1974)</label><mixed-citation>
Kington, J.: The Societas Meteorologica Palatina: an eighteenth-century
meteorological society, Weather, 29, 416–426, 1974.</mixed-citation></ref>
      <ref id="bib1.bibx44"><label>Kirchner et al.(1999)Kirchner, Stenchikov, Graf, Robock, and Antuña</label><mixed-citation>
Kirchner, I., Stenchikov, G. L., Graf, H.-F., Robock, A., and
Antuña, J. C.: Climate model simulation of winter warming and summer
cooling following the 1991 Mount Pinatubo volcanic eruption, J. Geophys.
Res., 104, 19039–19055, 1999.</mixed-citation></ref>
      <ref id="bib1.bibx45"><label>Klingbjer and Moberg(2003)</label><mixed-citation>
Klingbjer, P. and Moberg, A.: A composite monthly temperature record from
Tornedalen in northern Sweden, 1802–2002, Int. J. Climatol., 23, 1465–1494,
2003.</mixed-citation></ref>
      <ref id="bib1.bibx46"><label>Küttel et al.(2010)Küttel, Xoplaki, Gallego, Luterbacher, Garcia-Herrera, Allan, Barriendos, Jones, Wheeler, and Wanner</label><mixed-citation>
Küttel, M., Xoplaki, E., Gallego, D., Luterbacher, J.,
Garcia-Herrera, R., Allan, R., Barriendos, M., Jones, P., Wheeler, D., and
Wanner, H.: The importance of ship log data: reconstructing North Atlantic,
European and Mediterranean sea level pressure fields back to 1750, Clim.
Dynam., 34, 1115–1128, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx47"><label>Luterbacher and Pfister(2015)</label><mixed-citation>
Luterbacher, J. and Pfister, C.: The year without a summer, Nat. Geosci., 8, 246–248, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx48"><label>Mangianti and Beltrano(1993)</label><mixed-citation>
Mangianti, F. and Beltrano, M. C.: La neve a Roma dal 1741 al 1991, MIPAAF-UCEA, Rome, 1993.</mixed-citation></ref>
      <ref id="bib1.bibx49"><label>Meeus(1999)</label><mixed-citation>
Meeus, J. H.: Astronomical Algorithms, 2nd edn., Willmann-Bell, Richmond, VA, 1999.</mixed-citation></ref>
      <ref id="bib1.bibx50"><label>Middleton(1964)</label><mixed-citation>
Middleton, W. E. K.: The History of the Barometer, Johns Hopkins, Baltimore, MD, 1964.</mixed-citation></ref>
      <ref id="bib1.bibx51"><label>Middleton(1966)</label><mixed-citation>
Middleton, W. E. K.: A History of the Thermometer and its Use in Meteorology, Johns Hopkins, Baltimore, MD, 1966.</mixed-citation></ref>
      <ref id="bib1.bibx52"><label>Middleton(1972)</label><mixed-citation>
Middleton, W. E. K.: The Experimenters: A Study of the Accademia del Cimento, Johns Hopkins, Baltimore, MD, 1972.</mixed-citation></ref>
      <ref id="bib1.bibx53"><label>Moberg(1998)</label><mixed-citation>
Moberg, A.: Meteorological observations in Sweden made before AD 1860,
Paläoklimaforschung/PalaeoClim. Res., 23, 99–119, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx54"><label>Moberg et al.(2002)Moberg, Bergström, Krigsman, and Svanered</label><mixed-citation>
Moberg, A., Bergström, H., Krigsman, J. R., and Svanered, O.: Daily air
temperature and pressure series for Stockholm (1756–1998), Climatic Change,
53, 171–212, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx55"><label>Oppenheimer(2003)</label><mixed-citation>
Oppenheimer, C.: Climatic, environmental and human consequences of the
largest known historic eruption: Tambora volcano (Indonesia) 1815, Prog.
Phys. Geog., 27, 230–259, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx56"><label>Pfister(1999)</label><mixed-citation>
Pfister, C.: Wetternachhersage, Haupt, Bern, 1999.</mixed-citation></ref>
      <ref id="bib1.bibx57"><label>Poli et al.(2013)Poli, Hersbach, Tan, Dee, Thépaut, Simmons, Peubey, Laloyaux, Komori, Berrisford, Dragani, Trémolet, Hólm, Bonavita, Isaksen, and Fisher</label><mixed-citation>Poli, P., Hersbach, H., Tan, D., Dee, D., Thépaut, J.-N., Simmons, A.,
Peubey, C., Laloyaux, P., Komori, T., Berrisford, P., Dragani, R.,
Trémolet, Y., Hólm, E., Bonavita, M., Isaksen, L., and Fisher, M.:
The data assimilation system and initial performance evaluation of the ECMWF
pilot reanalysis of the 20th-century assimilating surface observations only
(ERA-20C), Tech. rep., ECMWF, ERA report series No. 14, available at:
<uri>http://old.ecmwf.int/publications/library/ecpublications/_pdf/era/era_report_series/RS_14.pdf</uri>
(last access: 9 June 2015), 2013.</mixed-citation></ref>
      <ref id="bib1.bibx58"><label>Post(1977)</label><mixed-citation>
Post, J. D.: The Last Great Subsistence Crisis in the Western World, Johns
Hopkins University Press, Baltimore, MD, 1977.</mixed-citation></ref>
      <ref id="bib1.bibx59"><label>Réaumur(1732)</label><mixed-citation>
Réaumur, R. A. F.: Régles pour construire des thermomètres dont les
degrés sont comparables, in: Mémoires de l'Academie Royale Des Sciences
pour 1730, 452–507, Durand, Paris, 1732.</mixed-citation></ref>
      <ref id="bib1.bibx60"><label>Rex(1950)</label><mixed-citation>
Rex, D. F.: Blocking action in the middle troposphere and its effect upon
regional climate, Tellus, 2, 275–301, 1950.</mixed-citation></ref>
      <ref id="bib1.bibx61"><label>Rienecker et al.(2011)Rienecker, Suarez, Gelaro, Todling, Bacmeister, Liu, Bosilovich, Schubert, Takacs, Kim et al.</label><mixed-citation>
Rienecker, M. M., Suarez, M. J., Gelaro, R., Todling, R., Bacmeister, J.,
Liu, E., Bosilovich, M. G., Schubert, Siegfried D., Takacs, L., Kim, G.-K.,
Bloom, S., Chen, J., Collins, D., Conaty, A., da Silva, A., Gu, W., Joiner,
J., Koster, R. D., Lucchesi, R., Molod, A., Owens, T., Pawson, S., Pegion,
P., Redder, C. R., Reichle, R., Robertson, F. R., Ruddick, A. G.,
Sienkiewicz, M., and Woollen, J.: MERRA: NASA's modern-era retrospective
analysis for research and applications, J. Climate, 24, 3624–3648, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx62"><label>Rogers(1990)</label><mixed-citation>
Rogers, J. C.: Patterns of low-frequency monthly sea level pressure
variability (1899–1986) and associated wave cyclone frequencies, J. Climate,
3, 1364–1379, 1990.</mixed-citation></ref>
      <ref id="bib1.bibx63"><label>Smith et al.(2008)Smith, Reynolds, Peterson, and Lawrimore</label><mixed-citation>
Smith, T. M., Reynolds, R. W., Peterson, T. C., and Lawrimore, J.:
Improvements to NOAA's historical merged land-ocean surface temperature
analysis (1880–2006), J. Climate, 21, 2283–2296, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx64"><label>Spix and Martius(1824)</label><mixed-citation>
Spix, J. B. and Martius, C. F. P.: Travels in Brazil, in the Years 1817–1820, Vol. 1, Longman and Co., London, 1824.</mixed-citation></ref>
      <ref id="bib1.bibx65"><label>Stickler et al.(2014)Stickler, Brönnimann, Valente, Bethke, Sterin, Jourdain, Roucaute, Vasquez, Reyes, Allan, and Dee</label><mixed-citation>
Stickler, A., Brönnimann, S.,Valente, M. A., Bethke, J., Sterin, A.,
Jourdain, S., Roucaute, E., Vasquez, M. V., Reyes, D. A., Allan, R., and Dee,
D.: ERA-CLIM: historical surface and upper-air data for future reanalyses, B.
Am. Meteorol. Soc., 95, 1419–1430, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx66"><label>Stommel and Stommel(1979)</label><mixed-citation>
Stommel, H. and Stommel, E.: The year without a summer, Sci. Am., 240, 176–186, 1979.</mixed-citation></ref>
      <ref id="bib1.bibx67"><label>Stothers(1984)</label><mixed-citation>
Stothers, R. B.: The great Tambora eruption in 1815 and its aftermath, Science, 224, 1191–1198, 1984.</mixed-citation></ref>
      <ref id="bib1.bibx68"><label>Tibaldi and Buzzi(1983)</label><mixed-citation>
Tibaldi, S. and Buzzi, A.: Effects of orography on Mediterranean lee cyclogenesis and its relationship to European blocking, Tellus A, 35, 269–286, 1983.</mixed-citation></ref>
      <ref id="bib1.bibx69"><label>Tierney et al.(2015)Tierney, Abram, Anchukaitis, Evans, Giry, Kilbourne, Saenger, Wu, Henry and Zinke</label><mixed-citation>
Tierney, J. E., Abram, N. J., Anchukaitis, K. J.,Evans, M. N., Giry, C.,
Kilbourne, K. H., Saenger, C. P., Wu, H. C., and Zinke, J.: Tropical sea
surface temperatures for the past four centuries reconstructed from coral
archives, Paleoceanography, 30, 226–252, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx70"><label>Trigo et al.(2009)Trigo, Vaquero, Alcoforado, Barriendos, Taborda, García-Herrera, and Luterbacher</label><mixed-citation>
Trigo, R. M., Vaquero, J. M., Alcoforado, M.-J., Barriendos, M., Taborda, J.,
García-Herrera, R., and Luterbacher, J.: Iberia in 1816, the year
without a summer, Int. J. Climatol., 29, 99–115, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx71"><label>Wagner and Zorita(2005)</label><mixed-citation>Wagner, S. and Zorita, E.: The influence of volcanic, solar and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
forcing on the temperatures in the Dalton Minimum (1790–1830): a model
study, Clim. Dynam., 25, 205–218, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx72"><label>Wegmann et al.(2014)Wegmann, Brönnimann, Bhend, Franke, Folini, Wild, and Luterbacher</label><mixed-citation>
Wegmann, M., Brönnimann, S., Bhend, J., Franke, J., Folini, D., Wild, M.,
and Luterbacher, J.: Volcanic influence on European summer precipitation
through monsoons: possible cause for “Years without Summer”, J. Climate,
27, 3683–3691, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx73"><label>Wetter et al.(2011)Wetter, Pfister, Weingartner, Luterbacher, Reist, and Trösch</label><mixed-citation>
Wetter, O., Pfister, C., Weingartner, R., Luterbacher, J., Reist, T., and
Trösch, J.: The largest floods in the High Rhine basin since 1268
assessed from documentary and instrumental evidence, Hydrolog. Sci. J., 56,
733–758, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx74"><label>Winkler(2006)</label><mixed-citation>
Winkler, P.: Hohenpeißenberg 1781–2006 – das älteste
Bergobservatorium der Welt, Deutscher Wetterdienst, Offenbach am Main, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx75"><label>WMO(2008)</label><mixed-citation>
WMO: Guide to meteorological instruments and methods of observation, WMO-No.
8, World Meteorological Organization, Geneva, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx76"><label>Yin et al.(2008)Yin, Gleason, Compo, Matsui, and Vose</label><mixed-citation>Yin, X., Gleason, B., Compo, G., Matsui, N., and Vose, R.: The International
Surface Pressure Databank (ISPD) land component version 2.2, Tech. rep.,
National Climatic Data Center, Asheville, NC, available at:
<uri>ftp://ftp.ncdc.noaa.gov/pub/data/ispd/doc/ISPD2_2.pdf</uri> (last access: 11
May 2015), 2008.</mixed-citation></ref>
      <ref id="bib1.bibx77"><label>Yoshino(1976)</label><mixed-citation>
Yoshino, M.: Local Wind Bora, University of Tokyo Press, Tokyo, 1976.</mixed-citation></ref>

  </ref-list><app-group content-type="float"><app><title/>

    </app></app-group></back>
    </article>
