MODELING BIOSYNTHESIS IN THE "SOIL – VEGETATION – CLIMATE" SYSTEM
Abstract
It is known that, despite the high accuracy of water balance forecasting, existing models such as AquaCrop, SWAP and HYDRUS do not fully take into account the relationship between water - salt balance and the effect of temperature limitations on root growth. Most current models describe the growth of the aboveground part of the plant separately from the physiological processes in the belowground part or use simplified empirical relationships. This limits their applicability in rapidly changing climates, as well as in areas with severely arid and degraded soils. Mathematical modeling based on a system of differential equations enables the integration of information on climate, soil composition, and plant physiology, thereby creating more accurate tools for agronomic planning. Current trends in agroinformatics, including the creation of digital twins of agroecosystems, require the development of models that account for spatial and temporal changes in environmental parameters and nonlinear biophysical processes. Complex relationships between soil water-salt balance, temperature, and physiological processes require the development of mathematical models capable of predicting root system dynamics under stress. Modern challenges such as global warming, droughts, and soil salinization make this task even more urgent. This article presents a system of ordinary differential equations and a system of partial differential equations describing the interactions between root biomass R(x,t), soil moisture W(x,t), and salt concentration S(x,t). The model takes into account temperature, evapotranspiration, and physiological constraints.
Keywords
References
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