Spatial characteristics of habitat patches and population survival

Lefkovitch, L.P. and Fahrig, L., 1985. Spatial characteristics of habitat patches and population survival. Ecol. Modelling, 30: 297-308. The effect of the spatial arrangement of habitat patches on the survival of resident populations were considered in a stochastic model using population parameters appropriate to Peromyscus leucopus. The 34 possible arrangements of connections among five otherwise identical patches were simulated in order to determine the survival probabilities and population sizes. The main findings are that populations in completely isolated patches have lower survival probabilities than those in patches that are connected to other patches, and that the survival probabilities of populations in connected patches increases with the size of the largest geometric figure of which the patch is a part. The results are discussed in the context of resource management.

[1]  Abbe Mowshowitz,et al.  Entropy and the complexity of graphs , 1967 .

[2]  Henry C. Tuckwell,et al.  Logistic Growth with Random Density Independent Disasters , 1981 .

[3]  J. E. Warnock,et al.  Response of Two Species of Peromyscus to Vegetational Succession on Land Strip-mined for Coal , 1978 .

[4]  A. Mowshowitz Entropy and the complexity of graphs. II. The information content of digraphs and infinite graphs. , 1968, The Bulletin of mathematical biophysics.

[5]  A. Mowshowitz,et al.  Entropy and the complexity of graphs. I. An index of the relative complexity of a graph. , 1968, The Bulletin of mathematical biophysics.

[6]  L. Fahrig,et al.  Habitat Patch Connectivity and Population Survival , 1985 .

[7]  John Riordan,et al.  Introduction to Combinatorial Analysis , 1959 .

[8]  L. Lefkovitch The study of population growth in organisms grouped by stages , 1965 .

[9]  J. Lawton,et al.  Dynamic complexity in predator-prey models framed in difference equations , 1975, Nature.

[10]  T. R. E. Southwood,et al.  HABITAT, THE TEMPLET FOR ECOLOGICAL STRATEGIES? , 1977 .

[11]  J. McNamara Optimal patch use in a stochastic environment , 1982 .

[12]  John Wegner,et al.  Movements by Birds and Small Mammals Between a Wood and Adjoining Farmland Habitats , 1979 .

[13]  A. J. Lotka Elements of Physical Biology. , 1925, Nature.

[14]  Abbe Mowshowitz,et al.  Entropy and the complexity of graphs: IV. Entropy measures and graphical structure , 1968 .

[15]  S. Levin Population Dynamic Models in Heterogeneous Environments , 1976 .

[16]  A. J. Lotka,et al.  Elements of Physical Biology. , 1925, Nature.

[17]  L. Fahrig,et al.  Population Stability in a Patchy Environment , 1983 .

[18]  R. Wiegert Competition: A Theory Based on Realistic, General Equations of Population Growth , 1974, Science.

[19]  R. M’Closkey,et al.  Determinants of Local Distribution and Abundance in White‐Footed Mice , 1975 .

[20]  A. D. Bazykin Analysis of ecological systems: State-of-the-art in ecological modelling: William K. Lauenroth, Gaylord V. Skogerboe and Marshall Flug (Editors). Developments in Environmental Modelling, 5. Elsevier, Amsterdam, 1983. 992 pp., Dfl. 320.00. ISBN 0-444-42179-3 , 1986 .

[21]  A. Mowshowitz Entropy and the complexity of graphs: III. Graphs with prescribed information content , 1968 .

[22]  John Riordan,et al.  Introduction to Combinatorial Analysis , 1958 .

[23]  K. E. Justice A New Method for Measuring Home Ranges of Small Mammals , 1961 .

[24]  S. Jay Drifting of Honeybees in Commercial Apiaries 1. Effect of Various Environmental Factors , 1965 .

[25]  R. Goldstein Reality and Models: Difficulties Associated with Applying General Ecological Models to Specific Situations , 1977 .

[26]  J. Whitaker Habitat Relationships of Four Species of Mice in Vigo County, Indiana. , 1967, Ecology.

[27]  P. H. Leslie On the use of matrices in certain population mathematics. , 1945, Biometrika.

[28]  Becky Myton Utilization of Space by Peromyscus Leucopus and Other Small Mammals , 1974 .