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Analyzing insect movement as a correlated random walk
Abstract
This paper develops a procedure for quantifying movement sequences in terms of move length and turning angle probability distributions. By assuming that movement is a correlated random walk, we derive a formula that relates expected square displacements to the number of consecutive moves. We show this displacement formula can be used to highlight the consequences of different searching behaviors (i.e. different probability distributions of turning angles or move lengths). Observations of Pieris rapae (cabbage white butterfly) flight and Battus philenor (pipe-vine swallowtail) crawling are analyzed as a correlated random walk. The formula that we derive aptly predicts that net displacements of ovipositing cabbage white butterflies. In other circumstances, however, net displacements are not well-described by our correlated random walk formula; in these examples movement must represent a more complicated process than a simple correlated random walk. We suggest that progress might be made by analyzing these more complicated cases in terms of higher order markov processes.
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Before the emergence of landscape resistance as a framework for mapping connectivity, some agent-based models did incorporate more detailed aspects of individual movement choice.
“Before the emergence of landscape resistance as a framework for mapping connectivity, some agent-based models did incorporate more detailed aspects of individual movement choice38,39, but the lack of spatial complexity in these earlier methods greatly limited their effective application to conservation science.”
From Connectivity modelling in conservation science: a comparative evaluation (2022) · cites this paper as [38]
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Research works printed but not linked: 13
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- Root RB, Kareiva PM (1983) The search for resources by cabbage butterflies (Pieris rapae): ecological consequences and adaptive significance of markovian movements in a patchy environment. Ecol Monog (in press) · DOI
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- Skellam JG (1951) Random dispersal in theoretical populations. Biometrika 38:196?218 · DOI
- Smith JNM (1974a) The food searching behavior of two European thrushes. I. Description and analysis of search paths. Behaviour 48:276?302 · DOI
- Smith JNM (1974b) The food searching behavior of two European thrushes. II. The adaptiveness of the search patterns. Behaviour 49:1?61 · DOI
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Codling, E. A., Plank, M. J., & Benhamou, S. (2008) · Journal of The Royal Society Interface · doi:10.1098/rsif.2008.0014 · Cited by 1,482
Suite of simple metrics reveals common movement syndromes across vertebrate taxa
Abrahms, B., Seidel, D. P., Dougherty, E., Hazen, E. L., Bograd, S. J., Wilson, A. M., Weldon McNutt, J., Costa, D. P., Blake, S., Brashares, J. S., et al. (2017) · Movement Ecology · doi:10.1186/s40462-017-0104-2 · Cited by 109
Connectivity modelling in conservation science: a comparative evaluation
Unnithan Kumar, S., & Cushman, S. A. (2022) · Scientific Reports · doi:10.1038/s41598-022-20370-w · Cited by 83
Metadata
- Authors
- Kareiva, P. M., & Shigesada, N.
- Venue
- Oecologia
- Published
- 1983-02
- Volume
- 56
- Issue
- 2-3
- Pages
- 234-238
- ISSN
- 0029-8549
- 1432-1939
- Cited by
- 681
- References
- 0
- Language
- en
- Licence
- www.springer.com/tdm (tdm)
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