Combining endogenous and exogenous spatial variability in analytical population models

Theoretical Population Biology

Volumn 64, Issue 3, 2003, Pages 255-270

  Bolker, Benjamin M ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

Clustering; Covariance; Dynamics; Endogenous; Exogenous; Moment equations; Point process; Spatial heterogeneity

Indexed keywords

HABITAT FRAGMENTATION; HETEROGENEITY; LANDSCAPE STRUCTURE; MINIMUM VIABLE POPULATION; MORTALITY; POPULATION MODELING;

EID: 0346338088     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-5809(03)00090-X     Document Type: Article

References (67)

1. Abramowitz M., Stegun I.A. Handbook of Mathematical Functions. 1965;Dover, New York.
2. Barton N.H., Hewitt G.M. Analysis of hybrid zones. Annu. Rev. Ecol. Syst. 16:1985;113-148.
3. Bascompte J., Solé R.V. Models of habitat fragmentation. Bascompte J., Solé R.V. Modeling Spatiotemporal Dynamics in Ecology. 1997;127-150 Springer, New York. (Chapter 7).
4. Bolker B.M. Analytic models for the patchy spread of plant disease. Bull. Math. Biol. 61:1999;849-874.
5. Bolker B.M., Pacala S.W. Using moment equations to understand stochastically driven spatial pattern formation in ecological systems. Theor. Popul. Biol. 52:1997;179-197.
6. Bolker B.M., Pacala S.W. Spatial moment equations for plant competition. understanding spatial strategies and the advantages of short dispersal Am. Nat. 153:1999;575-602.
7. Chesson P. Making sense of spatial models in ecology. Bascompte J., Solé R.V. Modelling Spatiotemporal Dynamics in Ecology. 1998;151-166 Springer, New York. (Chapter 8).
8. Chesson P.L. Coexistence of competitors in spatially and temporally varying environments. a look at the combined effects of different sorts of variability Theor. Popul. Biol. 28:1985;263-287.
9. Chesson P.L. General theory of competitive coexistence in spatially varying environments. Theor. Popul. Biol. 58:2000;211-237.
10. Christakos G. On the problem of permissible covariance and variogram models. Water Resources Res. 20:1984;251-265.
11. Cody M.L., Overton J.M. Short-term evolution of reduced dispersal in island plant populations. J. Ecol. 84:1996;53-61.
12. Comins, H.N., Hamilton, W.D., May, R.M., 1980. Evolutionarily stable dispersal strategies. J. Theor. Biol. 82, 205-230; reprinted as Chapter 16 in Narrow Roads of Gene Land: The Collected Papers of W.D. Hamilton, Vol. 1, Evolution of Social Behavior (1996), W.H. Freeman, New York.
13. Cressie N.A.C. Statistics for Spatial Data. 1991;Wiley, New York.
14. Dieckmann U., Law R. Relaxation projections and the method of moments. Dieckmann U., Law R., Metz J.A.J. The Geometry of Ecological Interactions: Simplifying Spatial Complexity. Cambridge Studies in Adaptive Dynamics. 2000;412-455 Cambridge University Press, Cambridge, UK. (Chapter 21).
15. Diggle P. Statistical Analysis of Spatial Point Patterns. 1983;Academic Press, New York.
16. Duncan R.S., Chapman C.A. Seed dispersal and potential forest succession in abandoned agriculture in tropical Africa. Ecol. Appl. 9:1999;11.
17. Durrett R., Levin S. The importance of being discrete (and spatial). Theor. Popul. Biol. 46:1994;363-394.
18. Endler, J.A., 1977. Geographic Variation, Speciation, and Clines. Monographs in Population Biology, No. 10. Princeton University Press, Princeton, NJ.
19. Fahrig L. When does fragmentation of breeding habitat affect population survival? Ecol. Mod. 105:1998;273-292.
20. Filipe J.A.N. Hybrid closure-approximation to epidemic models. Physica A. 266:1999;238-241.
21. Filipe J.A.N., Gibson G.J. Studying and approximating spatio-temporal models for epidermic spread and control. Philos. Trans. R. Soc. B. 353:1998;2153-2162.
22. Gilpin, M., Hanski, I. (Eds.), 1991. Metapopulation Dynamics: Empirical and Theoretical Investigations. Academic Press, London.
23. Grenfell B.T., Wilson K., Isham V.S., Boyd H.E.G., Dietz K. Modeling patterns of parasite aggregation in natural populations. trichostrongylid nematode-ruminant interactions as a case study Parasitology. 111:1995;S135-S151.
24. Hassell M.P., May R.M. Spatial heterogeneity and the dynamics of parasitoid-host systems. Ann. Zool. Fenn. 25:1988;55-61.
25. Hassell M.P., May R.M., Pacala S.W., Chesson P.L. The persistance of host-parasitoid associations in patchy environments. 1. a general criterion Am. Nat. 138:1991;568-583.
26. Hiebeler D. Populations of fragmented landscapes with spatially structured heterogeneities. landscape generation and local dispersal Ecology. 81:2000;1629-1641.
27. Holmes E., Wilson H. Running from trouble. long-distance dispersal and the competitive coexistence of inferior species Am. Nat. 151:1998;578-586.
28. Holt R.D., Hassell M.P. Environmental heterogeneity and the stability of host parasitoid interactions. J. Anim. Ecol. 62:1993;89-100.
29. Hovestadt T., Messner S., Poethke H.J. Evolution of reduced dispersal mortality and 'fat-tailed' dispersal kernels in autocorrelated landscapes. Proc. R. Soc. London B Biol. Sci. 268:2001;385-391.
30. Kareiva P., Odell G.M. Swarms of predators exhibit "preytaxis" if individual predators use area restricted search. Am. Nat. 130:1987;223-270.
31. Keitt T.H. Spectral representation of neutral landscapes. Landscape Ecol. 15:2000;479-493.
32. Kierstead H., Slobodkin L.B. The size of water masses containing plankton blooms. J. Mar. Res. 12:1953;141-147.
33. Kitanidis P.K. Introduction to Geostatistics: Applications to Hydrogeology. 1997;Cambridge University Press, New York.
34. Lavorel S., Chesson P. How species with different regeneration niches coexist in patchy habitats with local disturbances. Oikos. 74:1995;103-114.
35. Muko S., Iwasa Y. Species coexistence by permanent spatial heterogeneity in a lottery model. Theor. Popul. Biol. 57:2000;273-284.
36. Murrell D.J., Law R. Beetles in fragmented woodlands. a formal framework for dynamics of movement in ecological landscapes J. Anim. Ecol. 69:2000;471-483.
37. Nee S., May R.M. Dynamics of metapopulations. habitat destruction and competitive coexistence J. Anim. Ecol. 61:1992;37-40.
38. Neuhauser C. Habitat destruction and competitive coexistence in spatially explicit models with local interactions. J. Theor. Biol. 193:1998;445-463.
39. Nisbet R., Gurney W. Modelling Fluctuating Populations. 1982;Wiley, New York.
40. Pacala S. Neighborhood models of plant population dynamics. III. Models with spatial heterogeneity in the physical environment. Theor. Popul. Biol. 31:1987;359-392.
41. Pacala S., Silander J. Jr. Field tests of neighborhood population dynamic models of two annual weed species. Ecol. Monogr. 60:1990;113-134.
42. Pacala S., Canham C., Silander J. Jr. Forest models defined by field-measurements. 1. the design of a northeastern forest simulator Can. J. For. Res. 23:1993;1980-1988.
43. Pacala S.W. Neighborhood models of plant population dynamics. II. Multi-species models of annuals. Theor. Popul. Biol. 29:1986;262-292.
44. Pacala S.W., Roughgarden J. Spatial heterogeneity and interspecific competition. Theor. Popul. Biol. 21:1982;92-113.
45. Pacala S.W., Silander J.A. Jr. Neighborhood models of plant population dynamics. I. Single-species models of annuals. Am. Nat. 125:1985;385-411.
46. Pascual M. Diffusion-induced chaos in a spatial predator-prey system. Proc. R. Soc. London B. 251:1993;1-7.
47. Rand, D.A., 1999. Correlation equations and pair approximations for spatial ecologies. In: McGlade, J. (Ed.), Theoretical Ecology 2. Blackwell, Oxford, England.
48. Real L.A., McElhany P. Spatial pattern and process in plant-pathogen interactions. Ecology. 77:1996;1011-1025.
49. Rees M., Grubb P.J., Kelly D. Quantifying the impact of competition and spatial heterogeneity on the structure and dynamics of a four-species guild of winter annuals. Am. Nat. 147:1996;1-32.
50. Roughgarden J. Population dynamics in a spatially varying environment. how population size tracks spatial variation in carrying capacity Am. Nat. 108:1974;649-664.
51. Roughgarden J. Influence of competition on patchiness in a random environment. Theor. Popul. Biol. 14:1978;185-203.
52. Roughgarden J.D. Patchiness in the spatial distribution of a population caused by stochastic fluctuations in resources. Oikos. 29:1977;52-59.
53. Rousset F., Gandon S. Evolution of the distribution of dispersal distance under distance-dependent cost of dispersal. J. Evol. Biol. 15:2002;515-523.
54. Ruel J.J., Ayres M.P. Jensen's inequality predicts effects of environmental variation. Trends Ecol. Evol. 14:1999;361-366.
55. Sasaki A. Clumped distribution by neighborhood competition. J. Theor. Biol. 186:1997;415-430.
56. Sato K., Matsuda H., Sasaki A. Pathogen invasion and host extinction in lattice structured populations. J. Math. Biol. 32:1994;251-268.
57. Shigesada N., Kawasaki K. Biological Invasions: Theory and Practice. 1997;Oxford University Press, New York.
58. Snyder R.E., Chesson P. Local dispersal can facilitate coexistence in the presence of longlasting spatial heterogeneity. Ecol. Lett. 6:2003;1-9.
59. Sugihara G., Hastings H.M. Fractals: A User's Guide for the Natural Sciences. 1993;Oxford University Press, New York.
60. Thomas C.D. Dispersal and extinction in fragmented landscapes. Proc. R. Soc. London B. 267:2000;139-145.
61. Tilman D. Plant Strategies and the Dynamics and Structure of Plant Communities. 1988;Princeton University Press, Princeton, NJ.
62. Tilman D. Species richness of experimental productivity gradients. how important is colonization limitation? Ecology. 74:1993;2179-2191.
63. Tilman D. Competition and biodiversity in spatially structured habitats. Ecology. 75:1994;2-16.
64. Tilman D., May R.M., Lehman C.L., Nowak M.A. Habitat destruction and the extinction debt. Nature. 371:1994;65-66.
65. Tilman D., Lehman C.L., Yin C.J. Habitat destruction, dispersal, and deterministic extinction in competitive communities. Am. Nat. 149:1997;29.
66. Turchin P. Quantitative Analysis of Movement: Measuring and Modeling Population Redistribution in Animals and Plants. 1998;Sinauer, Sunderland, MA.
67. Wennergren U., Ruckelshaus M., Kareiva P. The promise and limitations of spatial models in conservation biology. Oikos. 74:1995;349-356.