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

Andrea L. Moore; Smruti P. Damania; Shandelle M. Henson; James L. Hayward; Andrea L. Moore; Smruti P. Damania; Shandelle M. Henson; James L. Hayward

doi:10.3934/mbe.2008.5.831

Mathematical Biosciences and Engineering

2008, Volume 5, Issue 4: 831-842. doi: 10.3934/mbe.2008.5.831

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

1.
Department of Mathematics, Andrews University, Berrien Springs, MI 49104
2.
Biology Department, Andrews University, Berrien Springs, MI 49104

Received: 01 December 2007 Accepted: 29 June 2018 Published: 01 October 2008
MSC : Primary: 92D50; Secondary: 92D40

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.
- animal behavior,
- Larus glaucescens,
- diurnal distribution,
- differential equation model,
- habitat patches,
- steady-state dynamics,
- environmental forcing
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[J]. Mathematical Biosciences and Engineering, 2008, 5(4): 831-842. doi: 10.3934/mbe.2008.5.831

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Abstract

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.
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