Modeling the daily activities of breeding colonial seabirds: Dynamic occupancy patterns in multiple habitat patches
We constructed differential equation models for the diurnal abundance anddistribution of breeding glaucous-winged gulls (Larus glaucescens)as they moved among nesting and non-nesting habitat patches. We used timescale techniques to reduce the differential equations to algebraic equationsand connecte...
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Language: | English |
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AIMS Press
2008-09-01
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Series: | Mathematical Biosciences and Engineering |
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Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.831 |
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author | Andrea L. Moore Smruti P. Damania Shandelle M. Henson James L. Hayward |
author_facet | Andrea L. Moore Smruti P. Damania Shandelle M. Henson James L. Hayward |
author_sort | Andrea L. Moore |
collection | DOAJ |
description | We constructed differential equation models for the diurnal abundance anddistribution of breeding glaucous-winged gulls (Larus glaucescens)as they moved among nesting and non-nesting habitat patches. We used timescale techniques to reduce the differential equations to algebraic equationsand connected the models to field data. The models explained the data as afunction of abiotic environmental variables with $R^{2}=0.57$. A primarygoal of this study is to demonstrate the utility of a methodology that canbe used by ecologists and wildlife managers to understand and predict dailyactivity patterns in breeding seabirds. |
format | Article |
id | doaj-art-8527dcc78db84a2cb7ca15c1c539a6b0 |
institution | Kabale University |
issn | 1551-0018 |
language | English |
publishDate | 2008-09-01 |
publisher | AIMS Press |
record_format | Article |
series | Mathematical Biosciences and Engineering |
spelling | doaj-art-8527dcc78db84a2cb7ca15c1c539a6b02025-01-24T01:58:42ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-09-015483184210.3934/mbe.2008.5.831Modeling the daily activities of breeding colonial seabirds: Dynamic occupancy patterns in multiple habitat patchesAndrea L. Moore0Smruti P. Damania1Shandelle M. Henson2James L. Hayward3Department of Mathematics, Andrews University, Berrien Springs, MI 49104Department of Mathematics, Andrews University, Berrien Springs, MI 49104Department of Mathematics, Andrews University, Berrien Springs, MI 49104Department of Mathematics, Andrews University, Berrien Springs, MI 49104We constructed differential equation models for the diurnal abundance anddistribution of breeding glaucous-winged gulls (Larus glaucescens)as they moved among nesting and non-nesting habitat patches. We used timescale techniques to reduce the differential equations to algebraic equationsand connected the models to field data. The models explained the data as afunction of abiotic environmental variables with $R^{2}=0.57$. A primarygoal of this study is to demonstrate the utility of a methodology that canbe used by ecologists and wildlife managers to understand and predict dailyactivity patterns in breeding seabirds.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.831animal behaviorlarus glaucescensdiurnal distributiondifferential equation modelhabitat patchessteady-state dynamicsenvironmental forcing |
spellingShingle | 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 and Engineering animal behavior larus glaucescens diurnal distribution differential equation model habitat patches steady-state dynamics environmental forcing |
title | Modeling the daily activities of breeding colonial seabirds: Dynamic occupancy patterns in multiple habitat patches |
title_full | Modeling the daily activities of breeding colonial seabirds: Dynamic occupancy patterns in multiple habitat patches |
title_fullStr | Modeling the daily activities of breeding colonial seabirds: Dynamic occupancy patterns in multiple habitat patches |
title_full_unstemmed | Modeling the daily activities of breeding colonial seabirds: Dynamic occupancy patterns in multiple habitat patches |
title_short | Modeling the daily activities of breeding colonial seabirds: Dynamic occupancy patterns in multiple habitat patches |
title_sort | modeling the daily activities of breeding colonial seabirds dynamic occupancy patterns in multiple habitat patches |
topic | animal behavior larus glaucescens diurnal distribution differential equation model habitat patches steady-state dynamics environmental forcing |
url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.831 |
work_keys_str_mv | AT andrealmoore modelingthedailyactivitiesofbreedingcolonialseabirdsdynamicoccupancypatternsinmultiplehabitatpatches AT smrutipdamania modelingthedailyactivitiesofbreedingcolonialseabirdsdynamicoccupancypatternsinmultiplehabitatpatches AT shandellemhenson modelingthedailyactivitiesofbreedingcolonialseabirdsdynamicoccupancypatternsinmultiplehabitatpatches AT jameslhayward modelingthedailyactivitiesofbreedingcolonialseabirdsdynamicoccupancypatternsinmultiplehabitatpatches |