A model for the impact of contaminants on fish population dynamics

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dc.contributor.authorQihua Huang
dc.contributor.authorLaura Parshotam
dc.contributor.authorHao Wang
dc.contributor.authorCaroline Bampfylde
dc.contributor.authorMark A. Lewis
dc.date.accessioned2025-05-01T22:20:56Z
dc.date.available2025-05-01T22:20:56Z
dc.date.issued2013-01-01
dc.descriptionMathematical models have been widely applied to perform chemical risk assessments on biological populations for a variety of ecotoxicological pro- cesses. In this paper, by introducing a dose-dependent mortality rate function, we formulate a toxin-dependent aquatic population model that integrates mor- tality as toxin effect in addition to considering the effects of toxin on growth and recruitment. The model describes the direct effect of toxin on popula- tion by treating the concentration of toxin in the environment as a parameter. The model is more convenient to connect with data than traditional differen- tial equation models that describe the interaction between toxin and popula- tion. We analyze the positive invariant region and the stability of boundary and interior steady states. The model is connected to experimental data via model parametrization. In particular, we consider the toxic effects of mercury on rainbow trout (Oncorhynchus mykiss) and obtain an appropriate range for each model parameter. The parameter estimates are then used to illustrate the long-time behavior of the population under investigation. The numerical results provide threshold values of toxin concentration in the environment to keep the population from extirpation. The findings are consistent with surface water quality guidelines. It may be appropriate to apply our model to other species and other chemicals of interest to consider guideline development.
dc.identifier.doihttps://doi.org/10.7939/r3-962m-yj89
dc.language.isoen
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/
dc.subjectMercury
dc.subjectModel
dc.subjectRainbow trout
dc.subjectContaminants
dc.subjectFish
dc.titleA model for the impact of contaminants on fish population dynamics
dc.typehttp://purl.org/coar/resource_type/c_6501 http://purl.org/coar/version/c_b1a7d7d4d402bcce http://purl.org/coar/version/c_71e4c1898caa6e32
ual.jupiterAccesshttp://terms.library.ualberta.ca/public

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