Habitat Fragmentation and Extinction Thresholds in Spatially Explicit Models

The incidence of habitat destruction on the survivorship of a single metapopulation is studied by means of a spatially explicit model. As the proportion of destroyed sites increases, the structural properties of the resulting landscape change in a non-linear way, showing the existence of critical thresholds and phase transitions. Such critical thresholds are identified by means of an order parameter, which discriminates a quantitative process, i.e. habitat loss, from a qualitative one, i.e. habitat fragmentation. This difference is only well understood using a spatially explicit framework. We introduce on such a fragmented landscape the dynamics of a metapopulation balanced by local colonization and extinction by means of the cellular automaton formalism. The existence of extinction thresholds when a given fraction of habitat is destroyed is reported. These thresholds are determined both by the critical behaviour of the landscape structural properties, and by the demographic properties of the metapopulation. Some differences between these results and those derived from the study of spatially implicit models are described and explained. In particular, the percentage of patch occupancy is lower for a given value of habitat destruction in the spatially explicit formulation. Extinction threshold also take place for a lower destruction value. Some implications for the management of natural landscapes are discussed.

[1]  Peter Kareiva,et al.  Spatial scale mediates the influence of habitat fragmentation on dispersal success: Implications for conservation , 1992 .

[2]  C. Dytham Competitive coexistence and empty patches in spatially explicit metapopulation models , 1995 .

[3]  H. Andrén,et al.  Effects of habitat fragmentation on birds and mammals in landscapes with different proportions of suitable habitat: a review , 1994 .

[4]  S. Nee How populations persist , 1994, Nature.

[5]  A. Moffat Theoretical ecology: winning its spurs in the real world. , 1994, Science.

[6]  Clifford A. Pickover,et al.  Fractals, Chaos, and Power Laws , 1992 .

[7]  Robert M. May,et al.  Dynamics of metapopulations : habitat destruction and competitive coexistence , 1992 .

[8]  M. Nowak,et al.  Habitat destruction and the extinction debt , 1994, Nature.

[9]  Monica G. Turner,et al.  Predicting the spread of disturbance across heterogeneous landscapes , 1989 .

[10]  P. Kareiva,et al.  Habitat fragmentation and the stability of predator–prey interactions , 1987, Nature.

[11]  Ilkka Hanski,et al.  Inferences from Ecological Incidence Functions , 1992, The American Naturalist.

[12]  J. Diamond,et al.  Subdivision of nature reserves and the maintenance of species diversity , 1980, Nature.

[13]  I. Hanski,et al.  Patch-occupancy dynamics in fragmented landscapes. , 1994, Trends in ecology & evolution.

[14]  C. Dytham Habitat destruction and competitive coexistence: a cellular model. Commentary , 1994 .

[15]  Uno Wennergren,et al.  Connecting landscape patterns to ecosystem and population processes , 1995, Nature.

[16]  R. Lande,et al.  Extinction Thresholds in Demographic Models of Territorial Populations , 1987, The American Naturalist.

[17]  R. Levins Some Demographic and Genetic Consequences of Environmental Heterogeneity for Biological Control , 1969 .

[18]  Atte Moilanen,et al.  HABITAT DESTRUCTION AND COEXISTENCE OF COMPETITORS IN A SPATIALLY REALISTIC METAPOPULATION MODEL , 1995 .