Analytical methods for a stochastic mainland-island metapopulation model

Buckley, F. M. and Pollett, P. K. (2009). Analytical methods for a stochastic mainland-island metapopulation model. In: Anderssen, R. S., Braddock, R. D. and Newham, L. T. H., Proceedings of the 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation. 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation, Cairns, Australia, (1767-1773). 13-17 July, 2009.

Author Buckley, F. M.
Pollett, P. K.
Title of paper Analytical methods for a stochastic mainland-island metapopulation model
Conference name 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation
Conference location Cairns, Australia
Conference dates 13-17 July, 2009
Convener Braddock, R. and Anderssen, B.
Proceedings title Proceedings of the 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation
Journal name 18Th World Imacs Congress and Modsim09 International Congress On Modelling and Simulation
Place of Publication Canberra, Australia
Publisher Modelling and Simulation Society of Australia and New Zealand and International Association for Mathematics and Computers in Simulation
Publication Year 2009
Sub-type Fully published paper
ISBN 9780975840078
Editor Anderssen, R. S.
Braddock, R. D.
Newham, L. T. H.
Volume 1
Start page 1767
End page 1773
Total pages 7
Collection year 2010
Language eng
Abstract/Summary The term ‘metapopulation’ is used to describe individuals of a species living as a group of local populations in geographically separate, but connected, habitat patches (Levins 1970, Hanski 1999). Patches may become empty through local extinction and empty patches may be recolonised by migrants from other local populations. A balance between local extinction and colonisation may be reached which allows the metapopulation to persist (Hanski 1999). The relationship between these two processes is therefore an important consideration when formulating mathematical metapopulation models. We suppose that events of the same type occur in seasonal phases, so that extinction events only occur during the extinction phase and colonisation events only occur during the colonisation phase, and that these phases alternate over time. They may correspond to two parts of an annual cycle, for example, where local populations are prone to extinction during winter while new populations establish during spring.
Formatted Abstract/Summary
The term ‘metapopulation’ is used to describe individuals of a species living as a group of local populations in geographically separate, but connected, habitat patches (Levins 1970, Hanski 1999). Patches may become empty through local extinction and empty patches may be recolonised by migrants from other local populations. A balance between local extinction and colonisation may be reached which allows the metapopulation to persist (Hanski 1999). The relationship between these two processes is therefore an important consideration when formulating mathematical metapopulation models. We suppose that events of the same type occur in seasonal phases, so that extinction events only occur during the extinction phase and
colonisation events only occur during the colonisation phase, and that these phases alternate over time. They may correspond to two parts of an annual cycle, for example, where local populations are prone to extinction during winter while new populations establish during spring.
Subjects 970101 Expanding Knowledge in the Mathematical Sciences
010406 Stochastic Analysis and Modelling
Keyword Metapopulation
discrete-time Markov chain
phase
mainland-island
chain-binomial model
Q-Index Code E1
Q-Index Status Confirmed Code

 
Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 1 times in Thomson Reuters Web of Science Article | Citations
Google Scholar Search Google Scholar
Created: Thu, 06 Aug 2009, 00:13:46 EST by Marie Grove on behalf of School of Mathematics & Physics