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A resource-based approach to modelling the dynamics of interacting populations

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  • Sakanoue, Seiichi

Abstract

The procedure for modelling the growth of single-species populations [Sakanoue, S., 2007. Extended logistic model for growth of single-species populations. Ecol. Model. 205, 159–168] is improved to be applicable to the study of the dynamics of interacting populations. The improved procedure is based on three assumptions: resource availability changes with population size as a variable, resource supply to populations and population demand for resources are defined as functions of resource availability and population size, and the variables of resource availability and population size shift in the supply function attracted to the demand function. These assumptions are organized into three equations. The equations can generate the dynamics models of plant, herbivore, and detritivore populations, and their own resources. The models can be used to describe prey–predator dynamics. They naturally contain nonlinear terms for the predator’s numerical and functional responses. Depending on the terms, the fluctuations in resource availability and population size stabilize. The three equations can also generate the dynamics models of different populations consuming the same resources. The analysis of zero isoclines of the models shows that a superior population can be simply defined as one with a higher intrinsic rate of natural increase, that a stable coexistence may be realized with the intraspecific interference or the interspecific facilitation of superiors, and that the interspecific interference or the intraspecific facilitation of inferiors may make the coexistence unstable and the inferiors winners depending on their initial population size.

Suggested Citation

  • Sakanoue, Seiichi, 2009. "A resource-based approach to modelling the dynamics of interacting populations," Ecological Modelling, Elsevier, vol. 220(11), pages 1383-1394.
    • Handle: RePEc:eee:ecomod:v:220:y:2009:i:11:p:1383-1394
    DOI: 10.1016/j.ecolmodel.2009.03.014
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    References listed on IDEAS

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    1. Ginzburg, Lev R. & Jensen, Christopher X.J. & Yule, Jeffrey V., 2007. "Aiming the “unreasonable effectiveness of mathematics” at ecological theory," Ecological Modelling, Elsevier, vol. 207(2), pages 356-362.
    2. Sakanoue, Seiichi, 2007. "Extended logistic model for growth of single-species populations," Ecological Modelling, Elsevier, vol. 205(1), pages 159-168.
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    Cited by:

    1. Sakanoue, Seiichi, 2013. "Integration of logistic and kinetics equations of population growth," Ecological Modelling, Elsevier, vol. 261, pages 93-97.
    2. Colomer, M. Àngels & Montori, Albert & García, Eder & Fondevilla, Cristian, 2014. "Using a bioinspired model to determine the extinction risk of Calotriton asper populations as a result of an increase in extreme rainfall in a scenario of climatic change," Ecological Modelling, Elsevier, vol. 281(C), pages 1-14.
    3. Xueting Zeng & Hua Xiang & Jia Liu & Yong Xue & Jinxin Zhu & Yuqian Xu, 2021. "Identification of Policies Based on Assessment-Optimization Model to Confront Vulnerable Resources System with Large Population Scale in a Big City," IJERPH, MDPI, vol. 18(24), pages 1-27, December.
    4. Colomer, M. Àngels & Margalida, Antoni & Sanuy, Delfí & Pérez-Jiménez, Mario J., 2011. "A bio-inspired computing model as a new tool for modeling ecosystems: The avian scavengers as a case study," Ecological Modelling, Elsevier, vol. 222(1), pages 33-47.

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