| Abstract: | The lottery model is a stochastic competition model designed for space-limited communities of sedentary organisms. Examples of such communities include coral reef fishes, aquatic sessile organisms, and many plant communities. Explicit conditions for the coexistence of two species and the stationary distribution of the two-species model were determined previously using an approximation with a diffusion process. In this chapter, a diffusion approximation is presented for the multispecies model for communities of two or more species, and a stage-structured model is investigated. The stage-structured model would be more reasonable for communities of long-lived species such as trees in a forest in which recruitment and death rates depend on the age or stage of the individuals. |
| Genre: | Book chapter |
| ProdID: | 5210767 |
| Citation Author: | Hatfield, J. S.; Chesson, P. L. |
| Citation Contributing Office: | Patuxent Wildlife Research Center |
| Citation Datum: | |
| Citation Day: | |
| Citation Edition: | |
| Citation Editor: | Tuljapurkar, S.; Caswell, H. (editors) |
| Citation End Page: | 622 |
| Citation Issue: | |
| Citation Keywords: | |
| Citation Language: | English |
| Citation Larger Work Title: | Structured-Population Models in Marine, Terrestrial, and Freshwater Systems |
| Citation LatN: | |
| Citation LatS: | |
| Citation LonE: | |
| Citation LonW: | |
| Citation Month: | |
| Citation No Pagination: | |
| Citation Number Of Pages: | |
| Citation Online Only Flag: | |
| Citation Phsyical Description: | xii, 643 |
| Citation Projection: | |
| Citation Public Comments: | |
| Citation Publisher: | Chapman & Hall |
| Citation Series: | |
| Citation Series Code: | |
| Citation Series Number: | |
| Citation Search Results Text: | Multispecies lottery competition: a diffusion analysis; 1997; Book chapter; Structured-Population Models in Marine, Terrestrial, and Freshwater Systems; Hatfield, J. S.; Chesson, P. L. |
| Citation Start Page: | 615 |
| Citation Volume: | |
| Citation Year: | 1997 |
| Type: | citation/reference |
| Text: | Multispecies lottery competition: a diffusion analysis; 1997; Book chapter; Structured-Population Models in Marine, Terrestrial, and Freshwater Systems; Hatfield, J. S.; Chesson, P. L. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| Date Other: | Tue, 9 Jun 2009 09:23 -0500 |
| Publisher: | Chapman & Hall |