American Institute of Mathematical Sciences

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2008, 5(4): 831-842. doi: 10.3934/mbe.2008.5.831

Modeling the daily activities of breeding colonial seabirds: Dynamic occupancy patterns in multiple habitat patches

Andrea L. Moore 1, , Smruti P. Damania 2, , Shandelle M. Henson 1, and  James L. Hayward 2,

1. 

Department of Mathematics, Andrews University, Berrien Springs, MI 49104, United States, United States
2. 

Biology Department, Andrews University, Berrien Springs, MI 49104, United States, United States

Received  December 2007 Revised  May 2008 Published  October 2008

We constructed differential equation models for the diurnal abundance and distribution of breeding glaucous-winged gulls (Larus glaucescens) as they moved among nesting and non-nesting habitat patches. We used time scale techniques to reduce the differential equations to algebraic equations and connected the models to field data. The models explained the data as a function of abiotic environmental variables with $R^{2}=0.57$. A primary goal of this study is to demonstrate the utility of a methodology that can be used by ecologists and wildlife managers to understand and predict daily activity patterns in breeding seabirds.
Keywords: animal behavior, Larus glaucescens, diurnal distribution, differential equation model, habitat patches, steady-state dynamics, environmental forcing.
Mathematics Subject Classification: Primary: 92D50; Secondary: 92D40.
Citation: Andrea L. Moore, Smruti P. Damania, Shandelle M. Henson, James L. Hayward. Modeling the daily activities of breeding colonial seabirds: Dynamic occupancy patterns in multiple habitat patches. Mathematical Biosciences & Engineering, 2008, 5 (4) : 831-842. doi: 10.3934/mbe.2008.5.831
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