Technology of Balanced Identification for Selection of Pine Transpiration Mathematical Model

Abstract

The application of numerical technology for evaluation the correspondence of a mathematical model and experimental data via the balanced (optimization) identification method is demonstrated with comparing various models of pine transpiration. A quantitative measure of the model evaluation is the cross-validation error. Current implementation of the technology allow the researcher to formulate the computing task in a text file, which contains: mathematical model formulas (including differential and/or integration equations); declarations of parameters and/or functions to be identified; data source (with experimental measurements) and additional settings of the numerical method. As a result, the software package returns unknown parameters, functions, and modeling errors. This technology is successfully used to various models in biology, medicine, physics, etc.

Thermodynamic substantiation of ecological-physiological modeling

“…These papers provide a typology of models and a history of mathematical modeling of tree community dynamics. We are particularly interested in ecologicalphysiological models, which are commonly divided into analytical [5][6][7], simulation models [8][9][10][11], and analytical-simulation models [12][13][14]. This division is rather arbitrary; other classifications are also possible, which do not fundamentally change the meaning of methods and approaches to ecological and physiological modeling.…”