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Vegetative growth in plants: A dynamic model
Author(s) -
Zelawski Wlodzimierz,
Szlenk Wieslaw
Publication year - 1984
Publication title -
physiologia plantarum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.351
H-Index - 146
eISSN - 1399-3054
pISSN - 0031-9317
DOI - 10.1111/j.1399-3054.1984.tb00379.x
Subject(s) - scots pine , vegetative reproduction , pinus <genus> , growth model , mathematics , mathematical model , exponential growth , botany , biological system , biology , mathematical analysis , statistics , mathematical economics
On the basis of data for accumulation and distribution of dry matter in seedlings of scots pine ( Pinus sylvestris L.) a mathematical model for vegetative plant growth is formulated. It is assumed that the total growth of a plant results from the mutually dependent growth of assimilatory and non‐assimilatory organs whereas the relative size of these organs reflects phenotypical adaptation to environmental conditions. The mathematical description of vegetative growth is carried out in terms of two‐dimensional difference equations (a discrete dynamic system of a two‐dimensional open domain into itself). The model covers different types of growth curves. These curves can be modelled in terms of a departure from initially exponential to linear, sigmoidal, or even quite irregular growth, depending on environmental conditions which affect both unit leaf rates and partitioning coefficients. The results of a simulation procedure are consistent with the experimental data.