Total biomass of a single population in two-patch environments

Daozhou Gao; Yuan Lou

doi:10.1016/j.tpb.2022.05.003

Total biomass of a single population in two-patch environments

Theor Popul Biol. 2022 Aug:146:1-14. doi: 10.1016/j.tpb.2022.05.003. Epub 2022 May 30.

Authors

Daozhou Gao¹, Yuan Lou²

Affiliations

¹ Department of Mathematics, Shanghai Normal University, Shanghai 200234, China. Electronic address: dzgao@shnu.edu.cn.
² School of Mathematical Sciences, CMA-Shanghai, Shanghai Jiao Tong University, Shanghai 200240, China; Department of Mathematics, Ohio State University, Columbus, OH 43210, USA. Electronic address: yuanlou@sjtu.edu.cn.

PMID: 35654290
DOI: 10.1016/j.tpb.2022.05.003

Abstract

For the two-patch logistic model, we study the effect of dispersal intensity and dispersal asymmetry on the total population abundance and its distribution. Two complete classifications of the model parameter space are given: one concerning when dispersal causes smaller or larger total biomass than no dispersal, and the other addressing how the total biomass changes with dispersal intensity and dispersal asymmetry. The dependencies of the population abundance of each individual patch on dispersal intensity and dispersal asymmetry are also fully characterized. In addition, the maximal and minimal total population sizes induced by dispersal are determined for the logistic model with an arbitrary number of patches, and a weak order-preserving result correlated the local population abundances with and without dispersal is established.

Keywords: Changing pattern; Dispersal asymmetry; Dispersal rate; Ideal free distribution; Patch model; Total population abundance.

Publication types

Research Support, Non-U.S. Gov't
Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

Biomass
Ecosystem*
Models, Biological*
Population Density
Population Dynamics