TITLE:
Habitat Loss, Uneven Distribution of Resources and Fragmented Landscapes—A Resource Based Model of the Patch Size Effect
AUTHORS:
Paweł Adamski, Adam Marcin Ćmiel, Adam Marcin Ćmiel
KEYWORDS:
Patch Size Effect, Allee Effect, Habitat Loss, Habitat Fragmentation, Poisson Process, Process Intensity, Critical Patch Size
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.19,
November
12,
2014
ABSTRACT: The problem of habitat fragmentation is recently an important issue in ecological research as well as in the practical approach of nature conservation. According to the most popular approaches, habitats are considered as the homogenous parts of the landscape. Also the metapopulation concept problem of the inert habitat heterogenity is considered quite seldom. These approaches have some weak points resulting from the assumption that the border between habitat patches and the metapopulation matrix is fairly sharp. This paper presents a resource-based concept of habitats, based on mathematical theory of point processes, which can be easily applied to analysing the problem of uneven distribution of resources. The basic assumption is that the random distribution of resources may be mathematically described as the realisation of a certain point process. According to our method, it is possible to calculate the expected quantities of available resources as well as the minimum area of habitat that includes the expected abundance of the resource. This approach may be very useful to understand some crucial phenomena in landscape ecology, such as the patch size effect and its connection to habitat loss and fragmentation.