Forestry Engineering Journal Forestry Engineering Journal Лесотехнический журнал 2222-7962 76027 10.34220/issn.2222-7962/2023.4/15 РусДендро-2023 RusDendro-2023 РусДендро-2023 Application of process-based modelling for interpretation of stable isotope variations in tree rings Применение процессного моделирования для интерпретации вариации стабильных изотопов в годичных кольцах деревьев Васильева Наталья Дмитриевна Vasilieva Nataliya Dmitrievna tusa3105@mail.ru Софронова Светлана Николаевна Sofronova Svetlana Nikolaevna sofronova_77@mail.ru

кандидат физико-математических наук;

candidate of physical and mathematical sciences;

 Баринов Валентин Викторович Barinov Valentin Viktorovich vvbarinov@sfu-kras.ru

кандидат биологических наук;

candidate of sciences in biology;

 Тайник Анна Владимировна Taynik Anna Vladimirovna ataynik@sfu-kras.ru

кандидат биологических наук;

candidate of sciences in biology;

 Трушкина Татьяна Владимировна Trushkina Tatyana V. Trushkinatv@sibsau.ru

кандидат технических наук;

candidate of technical sciences;

 Чуракова Ольга Владимировна Churakova Olga Vladimirovna ochurakova@sfu-kras.ru

доктор биологических наук;

doctor of sciences in biology;

 Институт физики им. Л.В. Киренского СО РАН Красноярск Россия L.V. Kirensky Institute of Physics SB RAS Krasnoyarsk Russian Federation Институт физики им. Л.В. Киренского СО РАН Красноярск Россия L.V. Kirensky Institute of Physics SB RAS Krasnoyarsk Russian Federation Сибирский федеральный университет Siberian Federal University Сибирский государственный университет науки и технологий им. академика М.Ф. Решетнева Красноярск Россия M.F. Reshetnev Siberian University of Science and Technologies Krasnoyarsk Russian Federation Сибирский Федеральный Университет Красноярск Россия Siberian Federal University Красноярск Russian Federation 17 04 2024 17 04 2024 13 4 23 38 09 11 2023 12 12 2023 http://lestehjournal.ru/en/journal/2023/no-4-52-ch-2/application-process-based-modelling-interpretation-stable-isotope

Ширина годичных колец деревьев и изотопный состав стабильных изотопов углерода (13C), кислорода (18O) и водорода (2H) в целлюлозе годичных колец широко используются для реконструкций условий окружающей среды. Применение моделей, способных описать вариацию стабильных изотопов в годичных кольцах деревьев, представляет собой набор инструментов для интерпретации изменений окружающей среды на экофизиологическом уровне. В данной работе хронологии с погодичным временным разрешением, полученные по стабильным изотопам 13С, 18O и 2H в целлюлозе годичных колец хвойных для региона Дельта реки Маккензи в Канаде (68° 30′ с.ш., 133° 48′ з.д.) для периода с 1901 по 2009 гг., были сопоставлены с модельными расчетами для интерпретации экофизиологического сигнала. При помощи процессной модели (LPX) нам удалось смоделировать 13С вариацию, значимо коррелирующую с измеренными данными (r = 0.29; p = 0.002) для периода с 1901 по 2009 гг. Модельные расчеты по кислороду и водороду требуют дальнейшего преобразования модельных блоков, в частности, требуют доработки включения источника воды, используемой деревьями, блока оттаивания и промерзания почвы с учетом вечной мерзлоты, а также экспериментальных данных по содержанию 18O и 2H в воде.

Tree-ring width and stable isotopes (carbon, oxygen, and hydrogen) in tree-ring cellulose are widely used to reconstruct environmental conditions. The application of models capable to describe a variation of stable isotopes in annual tree rings can be a powerful tool for interpretation of environmental changes at the eco-physiological level. In this paper, we modelled carbon (delta13C), oxygen (delta18O), and hydrogen (delta2H) variations at the tree-ring level and compared results with measured data, obtained from the Mackenzie Delta River (68°30′ N, 133°48′ W) for the common period from 1901 to 2009. Using a process-based model (LPX), we were able to simulate carbon isotope values, which significantly (r = 0.29; p = 0.002) correlate with measured carbon isotope values. The model calculations for oxygen and hydrogen require further modifications and improvements, in particular the inclusion of the source of water used by the trees in the Canadian subarctic, as well as delta18O and delta2H in the water.

 дендрохрогология стабильные изотопы моделирование углерод кислород водород dendrochronology stable isotopes modelling carbon oxygen hydrogen Исследование выполнено за счет гранта Российского научного фонда № 21-17-00006, https://rscf.ru/en/project/21-17-00006/ This study was supported by the Russian Science Foundation grant № 21-17-00006, https://rscf.ru/en/project/21-17-00006/

 

ACIA Impacts of a warming arctic Arctic Climate Impact Assessment. ACIA Overview report, Cambridge University Press. 2004. – 140 р. - URL: https://www.amap.no/documents/doc/impacts-of-a-warming-arctic-2004/786 (дата обращения 10.10.2023). ACIA Impacts of a warming arctic Arctic Climate Impact Assessment. ACIA Overview report, Cambridge University Press. 2004. – 140 r. - URL: https://www.amap.no/documents/doc/impacts-of-a-warming-arctic-2004/786 (data obrascheniya 10.10.2023). Arneth, A. Response of central Siberian Scots pine to soil water deficit and long-term trends in atmospheric CO2 concentration / A. Arneth, J. Lloyd, H. Santruckova, M. Bird, S. Grigoryev, Y.N. Kalaschnikov, G. Gleixner, E.D.// Schulze Global Biogeochem. Cycles. - 2002. – Vol. 16(1). - P. 5-1-5-13. DOI: https://doi.org/10.1029/2000GB001374 Arneth, A. Response of central Siberian Scots pine to soil water deficit and long-term trends in atmospheric CO2 concentration / A. Arneth, J. Lloyd, H. Santruckova, M. Bird, S. Grigoryev, Y.N. Kalaschnikov, G. Gleixner, E.D.// Schulze Global Biogeochem. Cycles. - 2002. – Vol. 16(1). - P. 5-1-5-13. DOI: https://doi.org/10.1029/2000GB001374 Boike, J. Kattenstroth B., Abramova K., Bornemann N., Chetverova A., Fedorova I., Fröb K., Grigoriev M., Grüber M., Kutzbach L., Langer M., Minke M., Muster S., Piel K., Pfeiffer E.-M., Stoof G., Westermann S., Wischnewski K., Wille C., Hubberten H.-W. Baseline characteristics of climate, permafrost and land cover from a new permafrost observatory in the Lena Rive Delta, Siberia (1998–2011) / J. Boike, B. Kattenstroth, K. Abramova, N. Bornemann, A. Chetverova, I. Fedorova, K. Fröb, M. Grigoriev, M. Grüber, L. Kutzbach, M. Langer, M. Minke, S. Muster, K. Piel, E.M. Pfeiffer, G .Stoof, S. Westermann, K. Wischnewski, C. Wille, H.W Hubberten // Biogeosciences. – 2013. – Vol. 10(3). – P. 2105-2128. DOI: https://doi.org/10.5194/bg-10-2105-2013 Boike, J. Kattenstroth B., Abramova K., Bornemann N., Chetverova A., Fedorova I., Fröb K., Grigoriev M., Grüber M., Kutzbach L., Langer M., Minke M., Muster S., Piel K., Pfeiffer E.-M., Stoof G., Westermann S., Wischnewski K., Wille C., Hubberten H.-W. Baseline characteristics of climate, permafrost and land cover from a new permafrost observatory in the Lena Rive Delta, Siberia (1998–2011) / J. Boike, B. Kattenstroth, K. Abramova, N. Bornemann, A. Chetverova, I. Fedorova, K. Fröb, M. Grigoriev, M. Grüber, L. Kutzbach, M. Langer, M. Minke, S. Muster, K. Piel, E.M. Pfeiffer, G .Stoof, S. Westermann, K. Wischnewski, C. Wille, H.W Hubberten // Biogeosciences. – 2013. – Vol. 10(3). – P. 2105-2128. DOI: https://doi.org/10.5194/bg-10-2105-2013 Bottinga, Y. Oxygen isotope fractionation between CO2 and water, and the isotopic composition of marine atmospheric CO2 / Y. Bottinga, H. Craig // Earth and Planetary Science Letters. – 1969. – Vol. 5: - P. 285–295. DOI: https://doi.org/10.1016/S0012-821X(68)80054-8 Bottinga, Y. Oxygen isotope fractionation between CO2 and water, and the isotopic composition of marine atmospheric CO2 / Y. Bottinga, H. Craig // Earth and Planetary Science Letters. – 1969. – Vol. 5: - P. 285–295. DOI: https://doi.org/10.1016/S0012-821X(68)80054-8 Cable, J.M. Permafrost thaw affects boreal deciduous plant transpiration through increased soil water, deeper thaw and warmer soils / J.M. Cable, K. Ogle, R.W. Bolton, L.P. Bentley, V. Romanovssky, I. Hiroki, U. Harazono, J. Welker // Ecohydrology. – 2014. – Vol. 7(3). – P. 982-997. DOI: https://doi.org/10.1002/eco.1423 Cable, J.M. Permafrost thaw affects boreal deciduous plant transpiration through increased soil water, deeper thaw and warmer soils / J.M. Cable, K. Ogle, R.W. Bolton, L.P. Bentley, V. Romanovssky, I. Hiroki, U. Harazono, J. Welker // Ecohydrology. – 2014. – Vol. 7(3). – P. 982-997. DOI: https://doi.org/10.1002/eco.1423 Churakova (Sidorova), O.V. Measured and modelled source water δ18O based on tree-ring cellulose of larch and pine trees from the permafrost zone. / O.V. Churakova (Sidorova), S. Lienert, G. Timofeeva, R. Siegwolf, J. Roden, F. Joos, M. Saurer // Forest. Biogeosciences and Forestry. – 2020. – Vol.13. – P. 224-229. DOI: https://doi:10.3832/ifor3212-013. Churakova (Sidorova), O.V. Measured and modelled source water δ18O based on tree-ring cellulose of larch and pine trees from the permafrost zone. / O.V. Churakova (Sidorova), S. Lienert, G. Timofeeva, R. Siegwolf, J. Roden, F. Joos, M. Saurer // Forest. Biogeosciences and Forestry. – 2020. – Vol.13. – P. 224-229. DOI: https://doi:10.3832/ifor3212-013. Churakova (Sidorova), O.V. Towards the third millennium changes in Siberian triple tree-ring stable isotopes / O.V. Churakova (Sidorova), M.V. Fonti, V.V. Barinov, M.S. Zharkov, A.V. Taynik, T.V. Trushkina, A.V. Kirdyanov, A. Arzac, M. Saurer // Forests. – 2022. – Vol. 13(6). - P.934. DOI: https://doi.org/10.3390/f13060934. Churakova (Sidorova), O.V. Towards the third millennium changes in Siberian triple tree-ring stable isotopes / O.V. Churakova (Sidorova), M.V. Fonti, V.V. Barinov, M.S. Zharkov, A.V. Taynik, T.V. Trushkina, A.V. Kirdyanov, A. Arzac, M. Saurer // Forests. – 2022. – Vol. 13(6). - P.934. DOI: https://doi.org/10.3390/f13060934. Churakova (Sidorova), O.V.. Climate impacts on tree-ring stable isotopes across the boreal zone / O.V. Churakova (Sidorova), T.J. Porter, M.S. Zharkov, M.V. Fonti, V.V. Barinov, A.V. Taynik, A.V. Kirdyanov, A.A. Knorre, M. Wegmann, T.V. Trushkina, N.N. Koshurnikova, E.A. Vaganov, V.S. Myglan, R.T.W. Siegwolf, M. Saurer // Science of the Total Environment. – 2023. Vol. 870. – P.161644. DOI: https://doi.org/10.1016/j.scitotenv.2023.161644 Churakova (Sidorova), O.V.. Climate impacts on tree-ring stable isotopes across the boreal zone / O.V. Churakova (Sidorova), T.J. Porter, M.S. Zharkov, M.V. Fonti, V.V. Barinov, A.V. Taynik, A.V. Kirdyanov, A.A. Knorre, M. Wegmann, T.V. Trushkina, N.N. Koshurnikova, E.A. Vaganov, V.S. Myglan, R.T.W. Siegwolf, M. Saurer // Science of the Total Environment. – 2023. Vol. 870. – P.161644. DOI: https://doi.org/10.1016/j.scitotenv.2023.161644 Churakova (Sidorova), O.V. Application of eco-physiological models to the climatic interpretation of δ13C and δ18O measured in Siberian larch tree-rings / O.V. Churakova (Sidorova), A.V. Shashkin, R.T.W. Siegwolf, R. Spahni, T. Launois, M. Saurer, M.V. Bryukhanova, A.V. Benkova, A.V. Kuptsova, P. Peylin, E.A. Vaganov, V. Masson-Delmotte, J. Roden // Dendrochronologia. – 2016. – Vol. 39. – P. 51-59. DOI: https://doi.org/10.1016/j.dendro.2015.12.008. Churakova (Sidorova), O.V. Application of eco-physiological models to the climatic interpretation of δ13C and δ18O measured in Siberian larch tree-rings / O.V. Churakova (Sidorova), A.V. Shashkin, R.T.W. Siegwolf, R. Spahni, T. Launois, M. Saurer, M.V. Bryukhanova, A.V. Benkova, A.V. Kuptsova, P. Peylin, E.A. Vaganov, V. Masson-Delmotte, J. Roden // Dendrochronologia. – 2016. – Vol. 39. – P. 51-59. DOI: https://doi.org/10.1016/j.dendro.2015.12.008. Climatic Research Unit : Data. High-resolution gridded datasets (and derived products) (2023). URL: https://crudata.uea.ac.uk/cru/data/hrg/ (дата обращения 10.10.2023). Climatic Research Unit : Data. High-resolution gridded datasets (and derived products) (2023). URL: https://crudata.uea.ac.uk/cru/data/hrg/ (data obrascheniya 10.10.2023). Dansgaard, W. Stable isotopes in precipitation / W. Dansgaard // Tellus. – 1964. – Vol. 16(4). – P. 436-468. DOI: https://doi.org/10.1111/j.2153-3490.1964.tb00181.x Dansgaard, W. Stable isotopes in precipitation / W. Dansgaard // Tellus. – 1964. – Vol. 16(4). – P. 436-468. DOI: https://doi.org/10.1111/j.2153-3490.1964.tb00181.x Dongmann, G. On the enrichment of 2H18O in the leaves of transpiring plants / G. Dongmann, H.W. Nurnberg, H. Förstel, K. Wagener // Radiation and Environmental Biophysics. – 1974. – Vol. 11. – P. 41–52. DOI: https://doi.org/10.1007/BF01323099. Dongmann, G. On the enrichment of 2H18O in the leaves of transpiring plants / G. Dongmann, H.W. Nurnberg, H. Förstel, K. Wagener // Radiation and Environmental Biophysics. – 1974. – Vol. 11. – P. 41–52. DOI: https://doi.org/10.1007/BF01323099. Farquhar, G.D. Carbon isotope fractionation and plant water-use efficiency / G.D. Farquhar, K.T. Hubick, A.G. Condon, R.A. Richards // Stable Isotopes in Ecological Research, Springer-Verlag, New York. – 1989. Р. 21-40. Режим доступа: https://link.springer.com/chapter/10.1007/978-1-4612-3498-2_2 Farquhar, G.D. Carbon isotope fractionation and plant water-use efficiency / G.D. Farquhar, K.T. Hubick, A.G. Condon, R.A. Richards // Stable Isotopes in Ecological Research, Springer-Verlag, New York. – 1989. R. 21-40. Rezhim dostupa: https://link.springer.com/chapter/10.1007/978-1-4612-3498-2_2 Farquhar, G.D. Carbon and oxygen isotope effects in the exchange of carbon dioxide between terrestrial plants and the atmosphere / G.D. Farquhar, J. Lloyd // In Stable Isotopes and Plant Carbon–Water Relations. – 1993. – Р. 47–70. Режим доступа: https://www.sciencedirect.com/science/article/abs/pii/B9780080918013500118 Farquhar, G.D. Carbon and oxygen isotope effects in the exchange of carbon dioxide between terrestrial plants and the atmosphere / G.D. Farquhar, J. Lloyd // In Stable Isotopes and Plant Carbon–Water Relations. – 1993. – R. 47–70. Rezhim dostupa: https://www.sciencedirect.com/science/article/abs/pii/B9780080918013500118 Flanagan, L.B. Comparison of modeled and observed environmental influences on the stable oxygen and hydrogen isotope composition of leaf water in Phaseolis vulgaris / L.B. Flanagan, J.P. Comstock, J.R. Ehleringer // Plant Physiology. – 1991. – Vol. 96. – P. 588–596. DOI: https://doi.org/10.1104/pp.96.2.588 Flanagan, L.B. Comparison of modeled and observed environmental influences on the stable oxygen and hydrogen isotope composition of leaf water in Phaseolis vulgaris / L.B. Flanagan, J.P. Comstock, J.R. Ehleringer // Plant Physiology. – 1991. – Vol. 96. – P. 588–596. DOI: https://doi.org/10.1104/pp.96.2.588 Francey, R.J., et al. A 1000-year high precision record of δ13C in atmospheric CO2 . Tellus B: Chemical and Physical Meteorology. – 1999. Vol, 51. P. 170-193. DOI:10.1034/j.1600-0889.1999.t01-1-00005.x Francey, R.J., et al. A 1000-year high precision record of δ13C in atmospheric CO2 . Tellus B: Chemical and Physical Meteorology. – 1999. Vol, 51. P. 170-193. DOI:10.1034/j.1600-0889.1999.t01-1-00005.x Fyodorov-Davydov, D.G. Seasonal thaw of soils in the North Yakutian ecosystems / D.G. Fyodorov-Davydov, V.E. Kholodov, G.N. Kraev, V.A. Sorokovikov, S.P. Davydov, A.A. Merekalova // In: V International Conference on Cryopedology Diversity of forest affected soils and their role in ecosystems. At Ulan-Ude, Buryatia, Russia, September. – 2009. – P. 14–20. Fyodorov-Davydov, D.G. Seasonal thaw of soils in the North Yakutian ecosystems / D.G. Fyodorov-Davydov, V.E. Kholodov, G.N. Kraev, V.A. Sorokovikov, S.P. Davydov, A.A. Merekalova // In: V International Conference on Cryopedology Diversity of forest affected soils and their role in ecosystems. At Ulan-Ude, Buryatia, Russia, September. – 2009. – P. 14–20. Gerten, D. Terrestrial vegetation and water balance—hydrological evaluation of a dynamic global vegetation model / D. Gerten, S. Schaphoff, U. Haberlandt, W. Lucht, S. Sitch // Journal of Hydrology. – 2004. – Vol. 286(1-4). – Р. 249-270. DOI: https://doi.org/10.1016/j.jhydrol.2003.09.029. Gerten, D. Terrestrial vegetation and water balance—hydrological evaluation of a dynamic global vegetation model / D. Gerten, S. Schaphoff, U. Haberlandt, W. Lucht, S. Sitch // Journal of Hydrology. – 2004. – Vol. 286(1-4). – R. 249-270. DOI: https://doi.org/10.1016/j.jhydrol.2003.09.029. Haese, B. Stable water isotopes in the coupled atmosphere–land surface model ECHAM5-JSBACH Geosci / B. Haese, M. Werner, G. Lohmann // Model Dev. – 2013. – Vol. 6. – Р. 1463–1480. DOI: https://doi.org/10.5194/gmd-6-1463-2013 Haese, B. Stable water isotopes in the coupled atmosphere–land surface model ECHAM5-JSBACH Geosci / B. Haese, M. Werner, G. Lohmann // Model Dev. – 2013. – Vol. 6. – R. 1463–1480. DOI: https://doi.org/10.5194/gmd-6-1463-2013 Horita, J.. Liquid–vapor fractionation of oxygen and hydrogen isotopes of water from the freezing to the critical temperature / J. Horita, D.J. Wesolowski // Geochimica Et Cosmochimica Acta. – 1994. – Vol. 58. – Р. 3425–3437. DOI: https://doi.org/10.1016/0016-7037(94)90096-5 Horita, J.. Liquid–vapor fractionation of oxygen and hydrogen isotopes of water from the freezing to the critical temperature / J. Horita, D.J. Wesolowski // Geochimica Et Cosmochimica Acta. – 1994. – Vol. 58. – R. 3425–3437. DOI: https://doi.org/10.1016/0016-7037(94)90096-5 Keel, S.G. Simulating oxygen isotope ratios in tree ring cellulose using a dynamic global vegetation model / S.G. Keel, F. Joos, R. Spahni, M. Saurer, R.B. Weigt, S. Klesse // Biogeosciences. – 2016. – Vol. 13. – Р. 3869–3886. DOI: https://doi.org/10.5194/bg-13-3869-2016 Keel, S.G. Simulating oxygen isotope ratios in tree ring cellulose using a dynamic global vegetation model / S.G. Keel, F. Joos, R. Spahni, M. Saurer, R.B. Weigt, S. Klesse // Biogeosciences. – 2016. – Vol. 13. – R. 3869–3886. DOI: https://doi.org/10.5194/bg-13-3869-2016 Majoube, M. Fractionnement en oxygen-18 et en deuterium entre l’eau et sa vapeur / M. Majoube // Journal de Chimie et Physique.- 1971. – Vol. 68. – Р. 1423–1436. DOI: https://doi.org/10.1051/jcp/1971681423 Majoube, M. Fractionnement en oxygen-18 et en deuterium entre l’eau et sa vapeur / M. Majoube // Journal de Chimie et Physique.- 1971. – Vol. 68. – R. 1423–1436. DOI: https://doi.org/10.1051/jcp/1971681423 Pachauri R.K., Meyer L.A. IPCC 2014. Climate Change 2014: Synthesis Report Contribution of Working Groups I, II and III to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change, IPCC, Geneva, Switzerland. – 2014. – рр. 151. Режим доступа: https://epic.awi.de/id/eprint/37530/ Pachauri R.K., Meyer L.A. IPCC 2014. Climate Change 2014: Synthesis Report Contribution of Working Groups I, II and III to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change, IPCC, Geneva, Switzerland. – 2014. – rr. 151. Rezhim dostupa: https://epic.awi.de/id/eprint/37530/ Richardson, C.W. Stochastic Simulation of Daily Precipitation, Temperature, and Solar Radiation / C.W. Richardson // Water Resources Research. – 1981. – Vol. 17(1). – Р. 182-190. DOI: https://doi.org/10.1029/WR017i001p00182 Richardson, C.W. Stochastic Simulation of Daily Precipitation, Temperature, and Solar Radiation / C.W. Richardson // Water Resources Research. – 1981. – Vol. 17(1). – R. 182-190. DOI: https://doi.org/10.1029/WR017i001p00182 Roden, J.S. Hydrogen and oxygen isotope ratios of tree ring cellulose for field-grown riparian trees / J.S. Roden, J.R. Ehleringer // Oecologia. – 2000. – Vol. 123. – Р. 481–489. DOI: https://doi.org/10.1007/s004420000349 Roden, J.S. Hydrogen and oxygen isotope ratios of tree ring cellulose for field-grown riparian trees / J.S. Roden, J.R. Ehleringer // Oecologia. – 2000. – Vol. 123. – R. 481–489. DOI: https://doi.org/10.1007/s004420000349 Saurer, M. Spatial and temporal oxygen isotope trends at the northern tree-line in Eurasia / M. Saurer, F. Schweingruber, E.A. Vaganov, S.G. Schiyatov, R. Siegwolf // Geophysical Research Letters. – 2002. – Vol. 29(9). – Р. 7-1-7-4. DOI: https://doi.org/10.1029/2001GL013739 Saurer, M. Spatial and temporal oxygen isotope trends at the northern tree-line in Eurasia / M. Saurer, F. Schweingruber, E.A. Vaganov, S.G. Schiyatov, R. Siegwolf // Geophysical Research Letters. – 2002. – Vol. 29(9). – R. 7-1-7-4. DOI: https://doi.org/10.1029/2001GL013739 Sitch, S. Evaluation of ecosystem dynamics, plant geography and terrestrial carbon cycling in the LPJ dynamic global vegetation model / S. Sitch, B. Smith, I.C. Prentice, A. Arneth, A. Bondeau, W. Cramer, J.O. Kaplan, S. Levis, W. Lucht, M.T. Sykes, K. Thonicke, S. Venevsky // Global Change Biology. – 2003. – Vol. 9(2). – Р. 161-185. DOI: https://doi.org/10.1046/j.1365-2486.2003.00569.x Sitch, S. Evaluation of ecosystem dynamics, plant geography and terrestrial carbon cycling in the LPJ dynamic global vegetation model / S. Sitch, B. Smith, I.C. Prentice, A. Arneth, A. Bondeau, W. Cramer, J.O. Kaplan, S. Levis, W. Lucht, M.T. Sykes, K. Thonicke, S. Venevsky // Global Change Biology. – 2003. – Vol. 9(2). – R. 161-185. DOI: https://doi.org/10.1046/j.1365-2486.2003.00569.x Spahni, R. Transient simulations of the carbon and nitrogen dynamics in northern peatlands: from the Last Glacial Maximum to the 21st century / R. Spahni, F. Joos, B.D. Stocker, M. Steinacher, Z.C. Yu // Clim. Past. – 2013. – Vol. 9. – Р. 1287-1308. DOI: https://doi.org/10.5194/cp-9-1287-2013 Spahni, R. Transient simulations of the carbon and nitrogen dynamics in northern peatlands: from the Last Glacial Maximum to the 21st century / R. Spahni, F. Joos, B.D. Stocker, M. Steinacher, Z.C. Yu // Clim. Past. – 2013. – Vol. 9. – R. 1287-1308. DOI: https://doi.org/10.5194/cp-9-1287-2013 Srikanthan, R. Comparison of two approaches for generation of daily rainfall data / R. Srikanthan, T.I. Harrold, A. Sharma, T.A. McMahon // Stochastic Environmental Research and Risk Assessment. – 2005. – Vol. 19. – Р. 215–226. DOI: https://doi.org/10.1007/s00477-004-0226-0 Srikanthan, R. Comparison of two approaches for generation of daily rainfall data / R. Srikanthan, T.I. Harrold, A. Sharma, T.A. McMahon // Stochastic Environmental Research and Risk Assessment. – 2005. – Vol. 19. – R. 215–226. DOI: https://doi.org/10.1007/s00477-004-0226-0 Stocker, B.D. Multiple greenhouse-gas feedbacks from the land biosphere under future climate change scenarios / B.D. Stocker, R. Roth, F. Joos, R. Spahni, M. Steinacher, S. Zaehle, L. Bouwman, Xu-Ri, I.C. Prentice // Nat. Clim. Change. – 2013. – Vol. 3.- Р. 666-672. DOI:10.1038/nclimate1864 Stocker, B.D. Multiple greenhouse-gas feedbacks from the land biosphere under future climate change scenarios / B.D. Stocker, R. Roth, F. Joos, R. Spahni, M. Steinacher, S. Zaehle, L. Bouwman, Xu-Ri, I.C. Prentice // Nat. Clim. Change. – 2013. – Vol. 3.- R. 666-672. DOI:10.1038/nclimate1864 Importance of permafrost as a source of water for plants in east Siberian taiga / A.N. Sugimoto, N. Yanagisawa, N. Fujita, T.S. Maximov, D. Naito // Ecol. Res. – 2002. – Vol. 17(4). – Р. 493-503. DOI:10.1046/j.1440-1703.2002.00506.x Importance of permafrost as a source of water for plants in east Siberian taiga / A.N. Sugimoto, N. Yanagisawa, N. Fujita, T.S. Maximov, D. Naito // Ecol. Res. – 2002. – Vol. 17(4). – R. 493-503. DOI:10.1046/j.1440-1703.2002.00506.x Vaganov, E.A. Growth Dynamics of Conifer Tree Rings: Images of Past and Future Environments / E.A. Vaganov, M.K. Hughes, A.V. Shashkin. Springler, 2006. 353 p. DOI: https://doi.org/10.1007/3-540-31298-6. Vaganov, E.A. Growth Dynamics of Conifer Tree Rings: Images of Past and Future Environments / E.A. Vaganov, M.K. Hughes, A.V. Shashkin. Springler, 2006. 353 p. DOI: https://doi.org/10.1007/3-540-31298-6. Wania, R.I. Integrating peatlands and permafrost into a dynamic global vegetation model: 1. Evaluation and sensitivity of physical land surface processes / R.I. Wania, I.C. Ross // Global Biogeochemical Cycles. – 2009. – Vol. 23(3). DOI: https://doi.org/10.1029/2008GB003412. Wania, R.I. Integrating peatlands and permafrost into a dynamic global vegetation model: 1. Evaluation and sensitivity of physical land surface processes / R.I. Wania, I.C. Ross // Global Biogeochemical Cycles. – 2009. – Vol. 23(3). DOI: https://doi.org/10.1029/2008GB003412.