ISHS Acta Horticulturae 674: III International Symposium on Applications of Modelling as an Innovative Technology in the Agri-Food Chain; MODEL-IT
MORPHO-ECOLOGICAL MODEL OF A GREENHOUSE CROP |
| Authors: | E. Presnov, E. Dayan |
| Keywords: | Ordinary differential equations, fast-slow dynamics, oscillations, synchronization, gradient system, evolution criterion, flower cycle, Rosa × hybrida |
| Abstract:
This paper describes a continuous model (dynamical system) that evaluates the temporal fluctuation of the number and average length of cut flowering shoots and LAI produced by a greenhouse rose crop. The parameters in the system represent different controls, whose values may vary by many orders of magnitude; the system will possess a time hierarchy. The resulting calculation generates oscillations with amplitudes and periods similar to the measured production of the rose crop. The synchronicity of different oscillations of simulated parameters is described by a numerical index. This index reflects a change in synchronization and demonstrates stabilization of oscillations in time during the evolution of time series for measured and simulated parameters. We also introduce a gradient reduction of dynamical systems that has a natural interpretation as a minimal model with an evolution criterion. Additionally, conjugated spherical reduction of dynamical systems is closely associated with a mechanism of oscillation in the model. | |
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