Abstract
The determination of the climatic factors related to the Paleolithic archaeological, or fossils sites of the late Neogene and Quaternary periods would require the knowledge of all the fossil specimen's age-site-related paleoclimatic factors. Because the necessary high-temporal resolution georeferenced, paleoclimatic models do not exist for most of the periods of the Pliocene and Pleistocene epoch, at the first step, the former climatic conditions should be reconstructed according to the age-site pair data. The idea of the developed method is, that using the foraminiferal oxygen isotope (δ18O) ratio values, the available Pleistocene glacial and interglacial paleoclimatic model pairs can provide the bases for the reconstruction of the former thermal conditions for any period during the Pleistocene epoch. In a technical sense, the approach is based on the observation that the changes in the Cenozoic δ18O record can correspond with the global mean temperature alterations. Determining the cold and warm periods-related δ18O ratio values, new, georeferenced paleoclimatic models can be produced.
The main steps of the developed method are as follows:
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Determination of the oxygen isotope ratio (δ18O) which corresponds to the former thermal conditions of a site.
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Using a scaling technique to create new, approximate climate maps by changing glacial and interglacial maps.
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Reconstruction of the monthly mean temperature values based on the thermal conditions of the warmest and the coldest quarters.
Keywords: Marine isotope stages, Glacial phases, Time-related reconstruction
Graphical abstract

Specifications table
| Subject Area: | Environmental Science |
| More specific subject area: | paleoclimatic reconstruction, climatic modelling, archeology, bioclimatic variables |
| Method name: | δ18O-inferred reconstruction of paleothermal patterns |
| Name and reference of original method: |
“The δ18O-inferred paleoclimatic reconstruction of the archaeological sites” In: Trájer, A. J. (2022). Regional heterogeneity of environmental stressors for the Early, Middle, and Late Palaeolithic European human populations related to the evolutionary lineage of Neanderthals. Quaternary Science Reviews, 278, 107365. |
| Resource availability: | Data can be requested directly from the author. |
Method details
The reconstruction of paleoclimatic values for a given period
The method to be used requires two existing paleoclimatic models, representing as far as possible one glacial and one interglacial state of the study period. For the Quaternary Period, the paleoclimatic reconstructions of the MIS19 Period or the Last Interglacial Period can be used as interglacial (‘warm climate phase’) models; the paleoclimatic reconstruction of the Last Glacial Maximum can serve as the general glacial (‘cold climate phase’) model. For the Pliocene epoch, the mid-Pliocene warm and cold periods-related paleoclimatic models can be used for the same purpose. The physical basis for reliable reconstruction of former global thermal conditions is the benthic foraminiferal 18O/16O concentration (δ 18O) and Mg/Ca rate measurements [1]. In other words, it means that the basic consideration of the developed method is that the δ18O-content of the benthic foraminifera of the North Atlantic sequences is closely related to the global mean temperatures.
It can be hypothesized according to the principle of Liu et al. (2009) [1] that:
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The glacial phases can be characterized by high d18O values.
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The interglacial phases exhibit low high d18O values.
It formally implies that:
Accepting this assumption, the δ18O concentration values can be utilized to reconstruct the global, and with certain restrictions, the local atmospheric palaeotemperature conditions or to determine the extent of previous ice sheets [3] due to the temperature-dependent carbon and oxygen isotopic disequilibria of deep-sea benthic foraminifera [2]. Although local temperature trends may differ somewhat from global ones, as an approximation, it can be assumed that thermal values are generally followed by fluctuations between the glacial and interglacial climatic states.
As a source of the paleoclimatic data, e.g., the PaleoClim.org database can be used [4].
The steps of the reconstruction of the paleothermal conditions for a given time are as follows:
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The δ18O-content values of the benthic foraminifera related to the selected glacial (G) and interglacial (IG) reference paleoclimatic models can be used as the lowest and highest temperature reference base in the determination of the former paleoclimatic conditions.
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Then, the archaeological or the fossil site's age-related δ18O-values should be determined.
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Finally, a modifier factor can be calculated based on the δ18O- values of the glacial and interglacial reference periods and the age of the archaeological or fossil sites.
The modifier factors were calculated using the formula below:
m is a modifier factor,
δ18OG is the δ18O concentration (‰) of the selected general glacial Pliocene/Pleistocene paleoclimatic model,
δ18ON is the δ18O concentration (‰) of the Nth period,
δ18OIG is the δ18O concentration (‰) of the selected general interglacial Pliocene/Pleistocene paleoclimatic model. and finally, based on the bioclimatic factors of the reference glacial and interglacial periods and modifier factor, the proportional paleoclimatic factor of the site in the given period was calculated according to the following formula:
where
rfk,N is the reconstructed paleoclimatic factor of the Nth period,
fk,G is the reconstructed paleoclimatic factor of the reference glacial period,
m is a modifier factor,
fk,IG is the reconstructed paleoclimatic factor of the reference interglacial period.
The applicability of the developed method was illustrated via the example of reconstructed paleothermal values related to the Krapina Cave Neanderthal Archaeological Site (Croatia).
The basic data for the reconstruction process are as follows in this case:
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The coordinates of the archaeological site: 46.164676 N, 15.863695 E for the determination of the present-day and the former climatic conditions.
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The base reference paleoclimatic models were as follows: the LGM (Karger et al., 2021 [5]) and the LP (Fordham et al., 2017 [6]).
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The age of the Krapina 3 Neanderthal skull is 113.5±13.5 kys [7]. The corresponding δ18O value is 3,575 ‰ [8].
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The δ18O values for the LGM and the LIP are 4.990 and 3.735 ‰ [8]. The calculated m value is 1.1275.
Fig. 1 shows the reconstructed annual mean temperature values in 113.5 kya in the wider region of the Krapina Cave Neanderthal site.
Fig. 1.
The mean annual temperature calculated from the reconstructed monthly mean temperatures in the Middle Stone Age Krapina Cave Neanderthal site in 113.5. Green point: Krapina Cave Neanderthal Archaeological Site.
Using the same method, other thermal values can also be calculated. Fig. 2 shows the reconstructed mean temperature of values of the warmest and the coldest quarters in 113.5 kya in the wider region of the Krapina Cave Neanderthal site.
Fig. 3.
The changes of the annual mean temperature values in the last 130 kys at the Middle Stone age Krapina Cave Neanderthal Archaeological Site in Croatia (small picture: the right front-side view picture of the Krapina 3 Neanderthal skull; A: Austria, BIH: Bosna and Herzegovina, CRO: Croatia, H: Hungary, SLO: Slovenia).
Fig. 2.
The reconstructed mean temperature values of the warmest (A) and the coldest quarters (B) in the wider area of the Krapina Cave Neanderthal site in 113.5 kya. Green point: Krapina Cave Neanderthal Archaeological Site.
The model also makes it possible for the long-term, near-continuous reconstruction of past climatic values of an archaeological site. The Middle Stone Age Krapina Cave Neanderthal site shows the changes in the annual mean temperature values over the last 130 kys (Fig. 3).
Fig. 5.
The reconstructed mean temperature values of July (A), August (B), September (C), October (D), November(E) and December (F) months in the wider area of the Krapina Cave Neanderthal Archaeological Site (green point) in 113.5 kya.
The reconstruction of monthly temperature values
In several cases, the monthly temperature values are needed for further modelling purposes. However, in several cases, climatic models contain the mean temperature of the warmest quarter (Tmw) and mean temperature of the coldest quarter (Tmc) values. The former monthly mean temperature values can be reconstructed based on the available archaeological/fossil sites- Tmw and Tmc values of the existing paleoclimatic models. The former monthly temperature value can be approximated using the normalized differences between the mean monthly temperature values and the differences between the present-day Tmw and Tmc values of certain sites. It is important to select the values of such a site which can be found close to the investigated archaeological/fossil site.
The normalization formula of monthly mean temperatures is as follows:
Where dTN is normalized differences between the mean monthly temperatures, Tkm is the mean temperature of the kth month of the year; Tmw is the mean temperature of the warmest quarter (°C), and Tmc is the mean temperature of the coldest quarter (°C)
After this process, using the reconstructed Pleistocene Tmw and Tmc values of the archaeological sites, the Pliocene/Pleistocene mean monthly temperatures were calculated according to the inverse formula of the above-described equation:
Where Tkm is the mean temperature of the kth month of the year; dTN is normalized differences between the mean monthly temperatures, Tmw is the mean temperature of the warmest quarter (°C), and Tmq is the mean temperature of the coldest quarter (°C).
The normalized values of present-day Krapina are as follows: -0.2 (January), 0 (February), 0.2 (March), 0.5 (April), 0.8 (May), 1 (June), 1.1 (July), 1.1 (August), 0.8 (September), 0.5 (October), 0.2 (November), -0.1 (December).
Fig. 4 shows the reconstructed monthly mean temperature values in the first half of the year at the Krapina Cave Neanderthal Archaeological Site in 113.5 kya.
Fig. 4.
The reconstructed mean temperatures values of January (A), February (B), March (C), April (D), May (E) and June (F) months in the wider area of the Krapina Cave Neanderthal Archaeological Site (green point) in 113.5 kya.
Fig. 5 shows the reconstructed monthly mean temperature values in the second half of the year at the Krapina Cave Neanderthal Archaeological Site in 113.5 kya.
Declaration of Competing Interest
The author declares that he has no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Acknowledgments
We acknowledge the financial support of NKFIH-471-3/2021 project.
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