Using a Coupled Integral Projection Model to Investigate Interspecific Competition During an Invasion

An Application to Silver Carp (Hypophthalmichthys molitrix) and Gizzard Shad (Dorosoma cepedianum)

Authors

  • James Peirce Mathematics & Statistics Department & River Studies Center , University of Wisconsin-La Crosse, La Crosse, WI  Author
  • Gregory Sandland River Studies Center& Biology Department, University of Wisconsin-La Crosse, La Crosse, WI Author
  • David Schumann Mathematics & Statistics Department & River Studies Center , University of Wisconsin-La Crosse, La Crosse, WI  Author
  • Hannah Thompson U.S. Geological Survey, Upper Midwest Environmental Sciences Center, La Crosse, WI Author
  • Richard Erickson U.S. Geological Survey, Upper Midwest Environmental Sciences Center, La Crosse, WI Author

DOI:

https://doi.org/10.30707/

Keywords:

ompetition models, fisheries, Mississippi River, population dynamics

Abstract

As a generalization of stage-based matrix models, integral projection models (IPMs) have been used to describe the size-based dynamics of wildlife and fisheries populations. Although some matrix models have explicitly included species interactions, few IPMs have expanded beyond single species, which limits their ability to describe the competitive dynamics of co-occuring taxa. We present a coupled system of IPMs where intra- and inter-specific competition may reciprocally affect the life-histories of two species. We investigated the potential role that competition has on two overlapping fish species in the upper Mississippi River system: the native gizzard shad (Dorosoma cepedianum) and the invasive silver carp (Hypophthalmichthys molitrix). Numerical simulations of this system indicated that the coupled IPMs could exhibit asymptotic behaviors similar to traditional, non-linear competition models. Specifically, by altering the competition coefficients, we demonstrate this model's ability to detect competitive exclusion, species coexistence, and dual extinction outcomes.

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Published

2023-12-11

Issue

Section

Research

How to Cite

Using a Coupled Integral Projection Model to Investigate Interspecific Competition During an Invasion: An Application to Silver Carp (Hypophthalmichthys molitrix) and Gizzard Shad (Dorosoma cepedianum). (2023). Letters in Biomathematics, 10(1), 175–184. https://doi.org/10.30707/

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