|I am satisfied with the vast majority of the edits made by the authors during the revision process. Below, I provide a list with a few last minor points, plus some (likely) typos that I have identified when working through the most recent version of the manuscript. I believe that it should be straightforward for the authors to make the suggested amendments, so that I recommend accepting this work for publication in Climate of the Past after minor revision without the need of further review.|
1. The unit prefix “kilo” is usually abbreviated by a small “k”, not a capital letter. To cope with proper physical units, I recommend the authors to replace the used units “Ka” (for kiloyears) by “ka” throughout all the manuscript, including figures/captions (and also the supplementary material).
2. Every now and then, the authors use the term “Mediterranean regions” (e.g. on lines 39, 45, 63, etc.). It is not clear to me whether they attempt to point to the Mediterranean region as a whole, or different regions of the Mediterranean and its surrounding. I recommend clarifying the wording accordingly.
3. The authors frequently use the notion of periodicity, which appears not correct to me in the context of this work. Especially, on p.3, l.77, they refer to the “periodicity of known global teleconnection patterns” with particular emphasis to the NAO. I have to admit that I am not aware of any teleconnection pattern that is strictly periodic, and especially NAO is well known to lack periodic behavior. What the authors attempt to refer to are “cyclic” components and “preferred time scales”, and I would expect to also stick to this precise terminology to the extent possible, given that the present work ultimately relies on using quite advanced statistical and complex systems concepts for the analysis of the considered records.
4. Remark: It is quite usual to combine mathematical equations with captions, as done on pp.10,12. To me, the use of captions in the present cases appears reasonable, but might not be compatible with the requirements of the publisher.
5. While much of the description of the advanced analysis techniques appears technically correct, I struggle with the sentence on p.13, ll.311-312: “In cases where the RP consists of more single recurrence points than vertical structures LAM will decrease:” Better write: “…will take low values”.
6. Page 15, ll.375-376: Skewness is by definition a dimensionless statistical quantity and must not be accompanied with any physical unit.
7. Table 2 does not seem to be referred to in the text.
8. The caption of Table 3 refers to an Appendix B which does not exist (anymore).
9. Related to #3: I don’t quite like the subheading “Detecting periodic components” of Section 4.3 (erroneously listed as 4.2 on p.21), which in my opinion should be rather replaced by “Analysis of oscillatory components” or something similar. The first sentence of the section refers to “periodic or oscillatory behaviors”, which are two things that are pretty different – also many chaotic systems present well-defined oscillations but are far from being periodic. Better turn this sentence upside-down: “The appearance of short diagonal lines in the recurrence plot of the aragonite thickness series indicates either intermittent periodic or weakly to moderately chaotic behaviours.” Page 22, l.445: better replace “power of periodicities of” by “spectral power in”. Line 449: replace “these periodicities are attributed” by “the elevated spectral power in those frequency bands can be attributed”. Similar in ll.451-452: “High spectral power in the centennial- to bicentennial band (~120-250 years) is observed…; ll.453-454: “A similar behavior is also identified…” For the rest of this section, the use of the term “periodic” appears fine, especially in reference to SSA, which indeed extracts exactly periodic components by definition. Similar comments apply to Section 5.2 (erroneously numbered as 5.3 on p.25).
10. Also the terminology of the wavelet analyses (Fig. 8 and supplement) need to be sharpened: What the authors call “wavelet spectra” are “wavelet spectrograms” (spectra show only the dependence on scale or frequency, spectrograms the additional time-dependence).
11. The definition of the coefficient of variation in the captions of Figs. 10 and 11 does not make any sense mathematically, since RC(1) is a time series – how do you divide a number (std) by a time series?
12. Page 31: The data availability statement refers to some “appendices” which do not exist as such.
- P.1, l.14 “in situ”
- P.1, l.20: “focus on two series”
- P.1, l.27. “in situ”
- P.2, l.45: “in situ”
- P.2, l.58: “the eastern parts are substantially drier than its eastern parts” => I suppose that one of the two should be “western”
- P.5, l.92: “changes in Dead Sea level”
- P.5, l.100: “although”
- P.5, l.109: “spreads”
- P.5, l.118: “gradient”
- P.6, l.149: “The site 5017 cores”
- P.7, ll.156-157: “the ICDP coring site 5017”
- P.9, l.203: “these sediments and their mode of formation based on…”
- P.9, l.207: “changes of sediment properties”
- P.9, l.212: “intervals for Lake Lisan”
- P.10, l.250: Do you mean “false positive rate” or “error rate”? “False positive error” is not a proper statistical term.
- P.14, l.330: “tools”
- P.14, l.335: “the alpha=0.05 confidence level”
- P.14, l.340: “principal components”
- P.15, l.362: “a clay cap and a thin lamina…”
- P.15, l.363: please explain the abbreviation “ERD”
- Figs. 6 and 7, captions: There are several typos – “blue rectangles”, “chaotic”, “diagonal lines”, “carried out”
- P.21, l.436: “4.2” should be “4.3”
- P.22, ll.446-447: “significant at an alpha=0.05 confidence level”
- P.24, l.482: “testifies its value”
- P.25, l.515: “5.3” should be “5.2.”; regarding the wording “periodic”, please see above
- P.25, l.521: “to identify”
- P.26, Fig. 9, caption: use \citet instead of \citep command for referring to Kolodny et al.
- P.26, l.546: remove “bear”
- P.27, l.566: “non-Poissonian”
- P.28, l.585: “resulting”
- P.29, l.602: What is Fig. “R1”?
- P.29, l.602: “which are found”
- P.29, l.614: start a new sentence at “The second cluster…”