The DOI matches its Crossref record; 30 of the 30 references it cites were found in a registry or an index.
Modeling Stratified Diffusion in Biological Invasions
Abstract
Recent data on biological invasion show that range expansion is driven by various modes of dispersal such as neighborhood diffusion and long-distance dispersal that occur side by side within a species. In such a stratified dispersal process, the initial range expansion mainly occurs by neighborhood diffusion. However, as the range of the founder population expands, new colonies created by long-distance migrants increase in number to cause an accelerating range expansion in the later phase. We classify several well-documented examples of geographical expansions into three major types depending on the nonlinearity of the range-versus-time curve. To examine how long-distance dispersal produces accelerating range expansion, we construct a stratified diffusion model, which describes the dynamics of the size distribution of colonies created by long-distance migrants. The model consists of a von Foerster equation combined with a Skellam model. Analyzing the model provides an estimate of range expansion in terms of the rate of expansion due to neighborhood diffusion, the leap distance, and the colonization rate of long-distance migrants. The results explain various types of nonlinear range expansion observed in biological invasions.
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Cites
THE WAVE OF ADVANCE OF ADVANTAGEOUS GENES
FISHER, R. A. (1937) · Annals of Eugenics · doi:10.1111/j.1469-1809.1937.tb02153.x · Cited by 4,883
The Ecology of Invasions by Animals and Plants.
Richards, P. W., & Elton, C. S. (1959) · The Journal of Ecology · doi:10.2307/2257385 · Cited by 3,905
RANDOM DISPERSAL IN THEORETICAL POPULATIONS
SKELLAM, J. G. (1951) · Biometrika · doi:10.1093/biomet/38.1-2.196 · Cited by 2,470
The Ecology of Invasions by Animals and Plants
Elton, C. C. (1977) · Springer eBooks · doi:10.1007/978-94-009-5851-7 · Cited by 2,465
Biological Invasions. A global perspective.
Drake, J. A., Mooney, H. A., di Castri, F., Groves, R. H., Kruger, F. J., Rejmanek, M., & Williamson, M. (1989) · Zenodo (CERN European Organization for Nuclear Research) · doi:10.5281/zenodo.18199125 · Cited by 1,663
Diffusion and Ecological Problems: Mathematical Models
Ōkubo, A. (1980) · Medical Entomology and Zoology · Cited by 1,496
The Dynamics of Physiologically Structured Populations
(1986) · Lecture Notes in Biomathematics · doi:10.1007/978-3-662-13159-6 · Cited by 1,424
Ecological Imperialism. The Biological Expansion of Europe, 900-1900
Marshall, A. G., & Crosby, A. W. (1991) · American Indian Quarterly · doi:10.2307/1185219 · Cited by 1,381
Biological Invasions: A Global Perspective
Kruger, F. J. L., Groves, R. H., & di Castri, F. (1989) · Cited by 1,150
Ecology of Biological Invasions of North America and Hawaii
(1986) · Ecological Studies · doi:10.1007/978-1-4612-4988-7 · Cited by 907
Cited by
Reconstructing routes of invasion using genetic data: why, how and so what?
ESTOUP, A., & GUILLEMAUD, T. (2010) · Molecular Ecology · doi:10.1111/j.1365-294x.2010.04773.x · Cited by 649
Predicting the spatial dynamics of rabies epidemics on heterogeneous landscapes
Smith, D. L., Lucey, B., Waller, L. A., Childs, J. E., & Real, L. A. (2002) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.042400799 · Cited by 378
Western corn rootworm ( Diabrotica virgifera virgifera LeConte) population dynamics
Meinke, L. J., Sappington, T. W., Onstad, D. W., Guillemaud, T., Miller, N. J., Komáromi, J., Levay, N., Furlan, L., Kiss, J., & Toth, F. (2009) · Agricultural and Forest Entomology · doi:10.1111/j.1461-9563.2008.00419.x · Cited by 186
Invasion Pattern of Herb Garlic Mustard (Alliaria petiolata) in High Quality Forests
Nuzzo, V. (1999) · Biological Invasions · doi:10.1023/a:1010009514048 · Cited by 132
Digital Object Identifier (DOI)
. (2020) · The Management Accountant Journal · doi:10.33516/maj.v55i6.72-72p · Cited by 1
Metadata
- Authors
- Shigesada, N., Kawasaki, K., & Takeda, Y.
- Venue
- The American Naturalist
- Publisher
- University of Chicago Press
- Published
- 1995-08
- Volume
- 146
- Issue
- 2
- Pages
- 229-251
- ISSN
- 0003-0147 (ISSN-L)
- 1537-5323
- OpenAlex
- W2097935653
- Cited by
- 470
- References
- 30
- FWCI
- 7.27
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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