Mean Time to Extinction of Source-Sink Metapopulation for Different Spatial Considerations
In a stochastic spatial source-sink process, we model the spread of a single species through a patchy landscape (i e. one that arises as a result of increasing urban sprawl). This landscape contains discrete patches, known as sink and source patches, that are associated with low and high habitat quality respectively. First, we generate different spatial relations of sink and source patches and place an initial population randomly throughout the grid of patches. We then simulate several discrete generations in which the species is exposed to different probabilities of reproduction and death, and we observe the mean time to extinction of the species with different combinations of patch distributions. Finally, we show that the size of source patch groupings has an effect on the mean time to extinction.
Agustín Izquierdo-Sabido, Universidad Nacional Autónoma de México
Jessica Lasky, Cornell University
Mark Muktoyuk, Oregon State University
Selim A. Sabillón, Palo Alto College