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2015-Boggess-EtAl-Mathematical Modeling in Ecology - Simulating the Reintroduction of the Extinct Passenger Pigeon

Author(s): Erin Boggess

NA

Keywords: simulation agent-based modeling allee_effect Passenger Pigeons forest envirnoment Holling Type III functional response Bio-energetics tree distributions

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Abstract

Resource Image To determine under which conditions a Passenger Pigeon could survive a reintroduction into a natural habitat, we used two types of models.

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Boggess, Erin, Jordan Collignon, and Alanna Riederer. 2015.  Mathematical Modeling in Ecology: Simulating the Reintroduction of the Extinct Passenger Pigeon (Ectopistes migratorius).Valparaiso University.

See https://www.valpo.edu/mathematics-statistics/files/2014/09/Capaldi2015.pdf.

Abstract: The Passenger Pigeon (Ectopistes migratorius) was an iconic species of bird in eastern North America that comprised 25-40% of North American avifauna. Passenger Pigeons went extinct in 1914 due to excessive hunting over the previous 50 years. Current research aims to de-extinct the Passenger Pigeon and someday release the species into its historic range. To determine under which conditions a Passenger Pigeon could survive a reintroduction into a natural habitat, we used two types of models. First, we used a system of delay differential equations to explore the relationship between the young pigeon, adult pigeon, nest predator, and raptor populations. The model incorporates logistic population growth, an Allee effect, and a Holling Type III functional response. Next, we developed a spatially explicit, agent-based model to simulate the population dynamics of the Passenger Pigeon in a number of present-day forest environments. The model incorporates the following stochastic processes: varying availability of food sources, reproduction, and natural death of the Passenger Pigeon. Bio-energetics, tree distributions, and other ecological values were obtained from literature. Results from our simulations suggest that the Passenger Pigeon could survive a reintroduction into a natural environment.

 

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Author(s): Erin Boggess

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