Prediction of plant community evolution process based on improved logistic growth model

Haiman Zhu; Xikang Du; Yueqi Wang

doi:10.1117/12.2686133

28 July 2023 Prediction of plant community evolution process based on improved logistic growth model

Haiman Zhu, Xikang Du, Yueqi Wang

Proceedings Volume 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023); 127562B (2023) https://doi.org/10.1117/12.2686133
Event: 2023 3rd International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2023), 2023, Tangshan, China

Abstract

Different species of plants have different adaptations to dry climates. The number of species may change with time under drought stress. Based on the improved logistic growth model (LGM), the ordinary differential equation was derived to predict the changes of plant community over time. The fourth order Runge Kutta equation was used to solve the solution, and the evolution process of plant community under drought stress was analyzed. First, as for the relationship between drought adaptability and the number of species, considering that the growth of plant community conforms to the law of biostatistics, this paper established the growth differential equation of species biomass by improving the logistic growth curve. In order to verify the feasibility of the model, two plants with competitive relationship, namely Rugondii and Artemisia orhaga, were selected for non-dimensional processing. Using fourth-order Runge-Kutta (ode45 function), the prediction curves of the two competing species with time can be obtained.

Citation Download Citation

Haiman Zhu, Xikang Du, and Yueqi Wang "Prediction of plant community evolution process based on improved logistic growth model", Proc. SPIE 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023), 127562B (28 July 2023); https://doi.org/10.1117/12.2686133

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KEYWORDS

Differential equations

Water content

Climate change

Statistical modeling

Temperature metrology

Desertification

Soil moisture

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