Advertisement

Oecologia

, Volume 57, Issue 3, pp 322–327 | Cite as

Local movement in herbivorous insects: applying a passive diffusion model to mark-recapture field experiments

  • P. M. Kareiva
Original Papers

Summary

A simple passive diffusion model is used to analyze the local within-habitat dispersal of twelve species of herbivorous insects. The data comprise field mark-recapture studies in relatively homogeneous habitats. For eight of the species, the cumulative frequency distributions of dispersal distances are consistent with a model of movement by passive diffusion. The observed departures from passive diffusion indicate the directions in which we need to modify our mathematical descriptions of movement if we are to develop realistic models of population dynamics and dispersal. The analyses also synthesize in a standard way the relative dispersal rates of several ecologically similar species. The variation both within and between species in diffusion coefficients is striking-certainly sufficient to generate significant consequences for population dynamics and interactions.

Keywords

Diffusion Coefficient Population Dynamic Frequency Distribution Dispersal Rate Realistic Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aikman D, Hewitt G (1972) An experimental investigation of the rate and form of dispersal in grasshoppers. J Appl Ecol 9:807–817Google Scholar
  2. Broadbent SR, Kendall DG (1953) The random walk of Trichostrongylus retortaeformis. Biometrics 9:460–466Google Scholar
  3. Cameron EA, McNamus ML, Mason CJ (1979) Dispersal and its impact on the population dynamics of the gypsy moth in the USA. Bull Soc Entom Suisse 52:169–179Google Scholar
  4. Crumpacker DW, Williams JS (1973) Density, dispersion, and population structure in Drosophila pseudoobscura. Ecol Mon 43:498–538Google Scholar
  5. Dempster J (1957) The population dynamics of the Moroccan locust in Cyprus. Anti-Locust Bull 27:1–59Google Scholar
  6. Dobzhansky T, Powell JR, Taylor CE, Andregg M (1979) Ecological variables affecting the dispersal behavior of Drosophila pseudoobscura and its relatives. Amer Nat 114:325–334Google Scholar
  7. Dobzhansky T, Wright S (1943) Genetics of natural populations. X. Dispersion rates in Drosophila pseudoobscura. Genetics 28:304–340Google Scholar
  8. Eguagie WE (1974) An analysis of movement of adult Tingis ampliata (Heteroptera: Tingidae) in a natural habitat. J An Ecol 43:521–535Google Scholar
  9. Elton C (1949) Population interspersion: an essay on animal community patterns. J Ecol 37:1–23Google Scholar
  10. Freeman GH (1977) A model relating numbers of dispersing insects to distance and time. J Appl Ecol 14:477–487Google Scholar
  11. Gurney WSC, Niset RM (1976) A note on nonlinear population transport. J Theor Biol 56:249–251Google Scholar
  12. Iwao S, Machida A (1963) A marking-and recapture analysis of the adult population of a phytophagous lady-beetle, Epilachna sparsa orientalis. Res Pop Ecol 5:107–116Google Scholar
  13. Johnston J, Heed WB (1975) Dispersal of Drosophila: the effect of baiting on the bahvior and distribution of natural populations. Am Nat 109:207–216Google Scholar
  14. Joyce RJV (1976) Insect flight in relation to problems of pest control. in Rainey RC, ed., Insect Flight, RES Symp 7, Blackwell, OxfordGoogle Scholar
  15. Kareiva P (1981) Non-migratory movement and the distribution of herbivorous insects: experiments with plant spacing and the application of diffusion models to mark-recapture data. Dissertation. Cornell Univ, Ithaca NY, USAGoogle Scholar
  16. Kareiva P (1982) Experimental and mathematical analysis of herbivore movement: quantifying the influence of plant spacing and quality on foraging discrimination. Ecol Mon 52:261–282Google Scholar
  17. Kiritani K, Hokyo N, Iwao S (1966) Population behavior of the southern green stinkbug, Nezara viridula, with special reference to the developmental stages of early-plnted paddy. Res Pop Ecol 8:133–146Google Scholar
  18. Lamb KP, Hassan E, Scotter DR (1971) Dispersal of scandium-46-labeled Partorhytes weevils in Papuan cacao plantations. Ecol 52:178–182Google Scholar
  19. Levin SA (1974) Dispersion and population interactions. Am Nat 108:207–228Google Scholar
  20. Levin SA (1981) The role of theoretical ecology in the description and understanding of populations in hetrogeneous environments. Amer Zool 21:865–875Google Scholar
  21. Long GE (1977) Spatial dispersion in a biological control model for larch casebearer (Coleophora laricella). Env Ent 6:843–851Google Scholar
  22. Ludwig D, Aronson DG, Weinberger HF (1979) Spatial patterning of the spruce budworm. J Math Biol 8:217–258Google Scholar
  23. McEvoy PB (1977) Adaptive significance of clumped dispersion in treehopper, Publilia concava (Homoptera: Membracidae). Dissertation. Cornell University, Ithaca NA, USAGoogle Scholar
  24. McMurtrie R (1978) Persistence and stability of single-species and prey-predator systems in spatially heterogeneous environments. Math Biosc 39:11–51Google Scholar
  25. Namba T (1980) Density-dependent dispersal and spatial distribution of a population. J Theor Bil 86:351–363Google Scholar
  26. Okubo A (1980) Diffusion and ecological problems: mathematical models. Springer-Verlag, New York NY, USAGoogle Scholar
  27. Pielou EC (1977) Mathematical Ecology. Wiley, New York NY, USAGoogle Scholar
  28. Rausher M (1979) Coevolution in a simple plant-herbivore system. Dissertation. Cornell University, Ithaca NY, USAGoogle Scholar
  29. Richardson RH (1970) Models and analyses of dispersal patterns. in Kojima ed, Mathematical Topics in Population Genetics. Springer-Verlag, New York NY, USAGoogle Scholar
  30. Shigesada N (1980) Spatial distribution of dispersing animals. J Math Biol 9:85–96Google Scholar
  31. Shigesada N, Kawasaki K, Teramoto E (1979) Spatial segregation of interacting species. J Theor Biol 79:83–99Google Scholar
  32. Skellam LG (1951) Random dispersal in theoretical populations. Biometrika 38:196–218Google Scholar
  33. Smith RW, Whittaker JB (1980) Factors affecting Gastrophysa viridula populations (Coleoptera: Chrysomelidae) in different habitats. J Anim Ecol 49:537–548Google Scholar
  34. Sokal RR, Rohlf FJ (1969) Biometry. WH Freeman, San Francisco CA, USAGoogle Scholar
  35. Taylor RAJ (1980) A family of regression equations describing the density distribution of dispersing organisms. Nature 286:53–55Google Scholar
  36. Watanabe M (1978) Adult movements and resident ratios of the black-veined white, Aporia crataeyi, in a hilly region. Jap J Ecol 28:101–109Google Scholar
  37. Wolfenbarger DO (1975) Factors affecting dispersal distances of small organisms. Exposition Press, Hicksville NY, USAGoogle Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • P. M. Kareiva
    • 1
  1. 1.Division of BiologyBrown UniversityProvidenceUSA

Personalised recommendations