Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

Characteristic Length Scales of Spatial Models in Ecology via Fluctuation Analysis

M. J. Keeling, I. Mezic, R. J. Hendry, J. McGlade and D. A. Rand
Philosophical Transactions: Biological Sciences
Vol. 352, No. 1361 (Nov. 29, 1997), pp. 1589-1601
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/56549
Page Count: 13
  • Read Online (Free)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Characteristic Length Scales of Spatial Models in Ecology via Fluctuation Analysis
Preview not available

Abstract

A technique of fluctuation analysis is introduced for the identification of characteristic length scales in spatial models, with similarities to the recently introduced methods using correlations. The identified length scale provides the optimal size to extract non-trivial large-scale behaviour in such models. The method is demonstrated for three biological models: genetic selection, plant competition and a complex marine system; the first two are coupled map lattices and the last one is a cellular automaton. These cover the three possibilities for asymptotic (long time) dynamics: fixation (the system converges to a fixed point); statistical fixation (the spatial statistics converge to fixed values); and complex statistical structure (the statistics do not converge to fixed values). The technique is shown to have an additional use in the identification of aggregation or dispersal at various scales. The method is rigorously justifiable in the cases when the system under analysis satisfies the FKG (Fortuin-Kasteleyn-Ginibre) property and has a fast decay of correlations. We also discuss the connection between the fluctuation analysis length scale and hydrodynamic limits methods to derive large scale equations for ecological models.

Page Thumbnails

  • Thumbnail: Page 
1589
    1589
  • Thumbnail: Page 
1590
    1590
  • Thumbnail: Page 
1591
    1591
  • Thumbnail: Page 
1592
    1592
  • Thumbnail: Page 
1593
    1593
  • Thumbnail: Page 
1594
    1594
  • Thumbnail: Page 
1595
    1595
  • Thumbnail: Page 
1596
    1596
  • Thumbnail: Page 
1597
    1597
  • Thumbnail: Page 
1598
    1598
  • Thumbnail: Page 
1599
    1599
  • Thumbnail: Page 
1600
    1600
  • Thumbnail: Page 
1601
    1601