RUSSIAN JOURNAL OF FOREST SCIENCE, 2021, No. 1, P. 42–51


DETERMINING THE TRANSITION BETWEEN THE ONTOGENETIC STATES OF LARCH, PINE AND CEDAR IN NORTHERN TAIGA OF WESTERN SIBERIA
V. R. Tsibul’skiy1, I. G. Solov’ev1,2, D. V. Moskovchenko1,3, D. A. Govorkov1,2
1Institute of the Problems of Northern Development, Siberian Branch of the RAS
Malygina st. 86, Tyumen 625026, Russia
2Tyumen Industrial University
Volodarskogo st. 38, Tyumen 625000, Russia
3Tyumen State University
Volodarskogo st. 6, Tyumen 625000, Russia
E-mail: v-tsib@yandex.ru


Received 30 July 2018
To assess the changes in biodiversity at the species level, a dynamic model of the edificators population is required, which determines the corresponding biome of the territory. The article proposes an analytical method for determining the age boundaries between juvenile and virginal, virginal and generative ontogenetic states of coniferous trees, which are important in identifying population models. The method for determining the indicated boundaries is based on the Tomasius growth function, which is applicable both for volumetric estimates and for the height and diameter of trees. In our case, it describes the radial growth at the height of 1.3 m as the most accessible parameter when carrying out field observations. This function is a symmetrical sigmoid, which does not correspond to real growth data for conifers. To eliminate this drawback, it is proposed to introduce nonlinearity into the power exponent of the model. The model was identified by successive approximations of the model and growth curves obtained as averaging of real time series based on annual ring chronologies of the edificator trees of the northern taiga of Western Siberia: larch, pine and cedar. Previously, the authors tested a method for determining the desired boundaries of ontogenetic states at the moments when the second and third derivatives of the growth curves, specified in the form of third and fourth degree polynomials and obtained on the basis of statistical processing of real data, were equal to zero. In this case, it is proposed to determine the boundaries by functions that have a biophysical meaning, i.e. survival and fertility or growth and inhibition. In addition, the boundaries are determined by the second derivative of the growth curve when it reaches a maximum in the first case, and a minimum in the second. This makes it much easier to understand and get results. The article presents averaged growth curves of larch, pine and cedar for areas near the villages of Sidorovsk, Vyngapur, Krasnosel’kup and Tol’ka (Yamalo-Nenets Autonomous Region), as well as timestamps of the boundaries of the studied ontogenetic states and the coefficients of the models for them.
Key words: coniferous trees, ontogenetic states, boundaries, determination, models
Acknowledgements: The study was carried out according to the plan of scientific research of TRC SB RAS of 2018 – 2020 (0371-2018-0032).
DOI: 10.31857/S0024114821010101


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