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Chesson, P. L. (1982). The stabilizing effect of a random environment. Journal of Mathematical Biology, 15(1), 1–36.

Authors 1
  1. Peter L. Chesson (first)
References 41 Referenced 144
  1. Armstrong, R. A., McGehee, R.: Coexistence of species competing for shared resources. Theoret. Population Biology 9, 317?328 (1976) (10.1016/0040-5809(76)90051-4) / Theoret. Population Biology by R. A. Armstrong (1976)
  2. Barbour, A. D.: Quasi-stationary distributions in Markov population processes. Adv. Appl. Probab. 8, 296?314 (1976) (10.2307/1425906) / Adv. Appl. Probab. by A. D. Barbour (1976)
  3. Bartlett, M. S.: On theoretical models for competitive and predatory biological systems. Biometrika 44, 27?42 (1957) (10.1093/biomet/44.1-2.27) / Biometrika by M. S. Bartlett (1957)
  4. Bartlett, M. S., Gower, J. C., Leslie, P. H.: A comparison of theoretical and empirical results for some stochastic population models. Biometrika 47, 1?11 (1960) (10.1093/biomet/47.1-2.1) / Biometrika by M. S. Bartlett (1960)
  5. Beddington, J. R., Free, C. A., Lawton, J. H.: Concepts of stability and resilience in predator-prey models. J. Anim. Ecol. 45, 791?816 (1976) (10.2307/3581) / J. Anim. Ecol. by J. R. Beddington (1976)
  6. Billingsley, P.: Convergence of probability measures. New York: Wiley 1968 / Convergence of probability measures by P. Billingsley (1968)
  7. Billingsley, P.: Weak convergence of measures. Philadelphia: SIAM 1971 (10.1137/1.9781611970623) / Weak convergence of measures by P. Billingsley (1971)
  8. Botkin, D. B., Sobel, M. J.: Stability in time-varying ecosystems. Am. Nat. 109, 625?646 (1975) (10.1086/283034) / Am. Nat. by D. B. Botkin (1975)
  9. Breiman, L.: Probability. Menlo Park, CA: Addison-Wesley 1968 / Probability by L. Breiman (1968)
  10. Chesson, P. L.: Predator-prey theory and variability. Ann. Rev. Ecol. Syst. 9, 323?347 (1978) (10.1146/annurev.es.09.110178.001543) / Ann. Rev. Ecol. Syst. by P. L. Chesson (1978)
  11. Chesson, P. L.: Models for spatially distributed populations: The effect of within-patch variability. Theoret. Population Biology 19, 288?325 (1981) (10.1016/0040-5809(81)90023-X) / Theoret. Population Biology by P. L. Chesson (1981)
  12. Chesson, P. L., Warner, R. R.: Environmental variability promotes coexistence in lottery competitive systems. Am. Nat. 117, 923?943 (1981) (10.1086/283778) / Am. Nat. by P. L. Chesson (1981)
  13. Cushing, J. M.: Two species competition in a periodic environment. J. Math. Biol. 10, 385?400 (1980) (10.1007/BF00276097) / J. Math. Biol. by J. M. Cushing (1980)
  14. de Mottoni, P., Schiaffino, A.: Competition systems with periodic coefficients: A geometric approach. J. Math. Biol. 11, 319?335 (1981) (10.1007/BF00276900) / J. Math. Biol. by P. Mottoni de (1981)
  15. Feller, W.: An introduction to probability theory and its applications, Vol. II, second edition. New York: Wiley 1971 / An introduction to probability theory and its applications, Vol. II by W. Feller (1971)
  16. Goh, B. S.: Stability, vulnerability, and persistence of complex ecosystems. Ecological Modelling 1, 105?116 (1975) (10.1016/0304-3800(75)90026-5) / Ecological Modelling by B. S. Goh (1975)
  17. Goh, B. S.: Nonvulnerability of ecosystems in unpredictable environments. Theoret. Population Biology 10, 83?95 (1976) (10.1016/0040-5809(76)90007-1) / Theoret. Population Biology by B. S. Goh (1976)
  18. Heyde, C. C.: On the central limit theorem for stationary processes. Z. Wahrscheinlichkeitstheorie 30, 315?320 (1974) (10.1007/BF00532619) / Z. Wahrscheinlichkeitstheorie by C. C. Heyde (1974)
  19. Holling, C. S.: Resilience and stability of ecological systems. Ann. Rev. Ecol. Syst. 4, 1?23 (1973) (10.1146/annurev.es.04.110173.000245) / Ann. Rev. Ecol. Syst. by C. S. Holling (1973)
  20. Ibragimov, I. A.: A note on the central limit theorem for dependent random variables. Theoret. Prob. Appl. 20, 135?141 (1975) (10.1137/1120011) / Theoret. Prob. Appl. by I. A. Ibragimov (1975)
  21. Karlin, S., Liberman, U.: Random temporal variation in selection intensities: Case of large population size?I. Theoret. Population Biology 6, 355?382 (1974) (10.1016/0040-5809(74)90016-1) / Theoret. Population Biology by S. Karlin (1974)
  22. Koch, A. L.: Coexistence resulting from an alternation of density independent and density dependent growth. J. Theoret. Biol. 44, 373?386 (1974) (10.1016/0022-5193(74)90168-4) / J. Theoret. Biol. by A. L. Koch (1974)
  23. Kurtz, T. G.: Solutions of ordinary differential equations as limits of pure jump Markov processes. J. Appl. Probab. 7, 49?58 (1970) (10.2307/3212147) / J. Appl. Probab. by T. G. Kurtz (1970)
  24. Leigh, E. G.: Population fluctuations, community stability, and environmental variability. In: (M. L. Cody, J. M. Diamond, eds.) Ecology and evolution of communities, pp. 51?73. Cambridge MA: Harvard University Press 1975 / Ecology and evolution of communities by E. G. Leigh (1975)
  25. Leslie, P. H.: A stochastic model for studying the properties of certain biological systems by numerical methods. Biometrika 45, 16?31 (1958) (10.1093/biomet/45.1-2.16) / Biometrika by P. H. Leslie (1958)
  26. Leslie, P. H., Gower, J. C.: The properties of a stochastic model for two competing species. Biometrika 45, 316?330 (1958) (10.1093/biomet/45.3-4.316) / Biometrika by P. H. Leslie (1958)
  27. Leslie, P. H., Gower, J. G.: The properties of a stochastic model for the predator-prey type of interaction between two species. Biometrika 47, 219?234 (1960) (10.1093/biomet/47.3-4.219) / Biometrika by P. H. Leslie (1960)
  28. Levins, R.: Coexistence in a variable environment. Am. Nat. 114, 765?783 (1979) (10.1086/283527) / Am. Nat. by R. Levins (1979)
  29. Lewontin, R. C.: The meaning of stability. In: Diversity and stability in ecological systems. Brookhaven Symposium in Biology No. 22, 13?24 (1969)
  30. Ludwig, D.: A singular perturbation problem in the theory of population extinction. Soc. Ind. Appl. Math.-Am. Math. Soc. Proc. 10, 87?104 (1976) / Soc. Ind. Appl. Math.-Am. Math. Soc. Proc. by D. Ludwig (1976)
  31. May, R. M.: Stability and complexity in model ecosystems, second edition. Princeton, N. J.: Princeton Univ. Press 1974 / Stability and complexity in model ecosystems by R. M. May (1974)
  32. Norman, F.: An ergodic theorem for evolution in a random environment. J. Appl. Prob. 12, 661?672 (1975) (10.2307/3212717) / J. Appl. Prob. by F. Norman (1975)
  33. Revuz, D.: Markov chains. Amsterdam: North-Holland Publication Co. 1975 / Markov chains by D. Revuz (1975)
  34. Sale, P. F.: Maintenance of high diversity in coral reef fish communities. Am. Nat. 111, 337?359 (1977) (10.1086/283164) / Am. Nat. by P. F. Sale (1977)
  35. Stewart, F. M., Levin, B. R.: Partitioning of resources and the outcome of interspecific competition: A model and some general considerations. Am. Nat. 107, 171?198 (1973) (10.1086/282825) / Am. Nat. by F. M. Stewart (1973)
  36. Turelli, M.: Random environments and stochastic calculus. Theoret. Population Biology 12, 140?178 (1977) (10.1016/0040-5809(77)90040-5) / Theoret. Population Biology by M. Turelli (1977)
  37. Turelli, M.: A reexamination of stability in randomly fluctuating versus deterministic environments. Theoret. Population Biology 13, 244?267 (1978a) (10.1016/0040-5809(78)90045-X) / Theoret. Population Biology by M. Turelli (1978)
  38. Turelli, M.: Does environmental variability limit niche overlap? Proc. Natl. Acad. Sci. USA 75, 5065?5089 (1978b) (10.1073/pnas.75.10.5085) / Proc. Natl. Acad. Sci. USA by M. Turelli (1978)
  39. Turelli, M.: Niche overlap and invasion of competitors in random environments I. Models without demographic stochasticity. Theoret. Population Biology 20, 1?56 (1981) (10.1016/0040-5809(81)90002-2) / Theoret. Population Biology by M. Turelli (1981)
  40. Turelli, M., Gillespie, J. H.: Conditions for the existence of stationary densities for some two dimensional diffusion processes with applications in population biology. Theoret. Population Biology 17, 167?189 (1980) (10.1016/0040-5809(80)90004-0) / Theoret. Population Biology by M. Turelli (1980)
  41. Wang, F. J. S.: Limit theorems for age and density dependent stochastic population models. J. Math. Biol. 2, 373?400 (1975) (10.1007/BF00817394) / J. Math. Biol. by F. J. S. Wang (1975)
Dates
Type When
Created 20 years, 10 months ago (Oct. 2, 2004, 8 p.m.)
Deposited 6 years, 4 months ago (April 3, 2019, 10:26 a.m.)
Indexed 2 months, 3 weeks ago (June 10, 2025, 1:48 p.m.)
Issued 43 years ago (Sept. 1, 1982)
Published 43 years ago (Sept. 1, 1982)
Published Print 43 years ago (Sept. 1, 1982)
Funders 0

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@article{Chesson_1982, title={The stabilizing effect of a random environment}, volume={15}, ISSN={1432-1416}, url={http://dx.doi.org/10.1007/bf00275786}, DOI={10.1007/bf00275786}, number={1}, journal={Journal of Mathematical Biology}, publisher={Springer Science and Business Media LLC}, author={Chesson, Peter L.}, year={1982}, month=sep, pages={1–36} }