Abstract

ABSTRACT. In this paper, we test a hypothesis that the replacement of golden‐winged warblers by blue‐winged warblers in the eastern United States is due to the fact that the latter species occupies only a fraction of the habitat of the former species. We build two models, one a simple discrete population model with a one‐year time step, and the second a landscape model that incorporates juvenile dispersal. The second model involves a numerical solution to a linked pair of diffusion equations. The first model shows that eventually the blue‐winged warbler will replace the golden‐winged warbler, but not in the observed 50 year time frame. The second model extends the range of parameter values under which the replacement happens within 50 years, but it still appears that other factors must play a significant role.

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