Acta Biotheoretica

, Volume 47, Issue 1, pp 67–77 | Cite as

A Reference Value for the Interior-to-Edge Ratio of Isolated Habitats

  • J. Bogaert
  • P. Van Hecke
  • I. Impens


Isolated habitats, the consequence of the fragmentation process, are the object of external disturbance. This divides the patch area into two zones: interior and edge. The interior-to-edge ratio quantifies the potential disturbance impact. A method is presented to calculate a reference value for the interior-to-edge ratio, based upon the minimum edge for a given interior. The method is based on pixel geometry features and mathematical morphology. A corrected interior-to-edge ratio is defined using the reference value. The method is illustrated for woodlot fragments in the Belgian Kempen region.

Habitat fragmentation Landscape ecology Mathematical morphology 


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  1. Bender, D.J., T.A. Contreras and L. Fahrig (1998). Habitat loss and population decline: a metaanalysis of the patch size effect. Ecology 79(2): 517–533.Google Scholar
  2. Bogaert, J. and I. Impens (1998). An improvement on area-perimeter ratios for interior-edge evaluation of habitats. Proceedings of the 10th Portuguese Conference on Pattern Recognition, F. Muge, R.C. Pinto, M. Piedade (eds.), Instituto Superior Technico, Lisbon, Portugal, March 26–27, 1998: 55–61.Google Scholar
  3. Bogaert, J., R. Rousseau, P. Van Hecke and I. Impens (1999a). Alternative area-perimeter ratios for measurement of 2-D shape compactness of habitats. Applied Mathematics and Computation, in press.Google Scholar
  4. Bogaert, J., P. Van Hecke, R. Moermans and I. Impens (1999b). Twist number statistics as an additional measure of habitat perimeter irregularity. Environmental and Ecological Statistics, in press.Google Scholar
  5. Bribiesca, E. (1997). Measuring 2-D Shape Compactness using the contact perimeter. Computers and Mathematics with Applications 33(11): 1–9.Google Scholar
  6. De Blust, G., A. Froment, E. Kuyken, L. Nef and R. Verheyen (1985). Biologische Waarderingskaart van België. Algemeen verklarende tekst. Ministerie van Volksgezondheid en van het Gezin, Instituut voor Hygiëne en Epidemiologie, Cöordinatiecentrum van de Biologische Waarderingskaart 98 p. (in dutch).Google Scholar
  7. Forman, R.T.T. (1997). Landscape ecology. The ecology of landscapes and regions. Cambridge University Press, Cambridge, 632 p.Google Scholar
  8. Forman, R.T.T. and M. Godron (1986). Landscape ecology. John Wiley & Sons, New York, 620 p.Google Scholar
  9. Glasbey, C.A. and G.W. Horgan (1995). Image analysis for the biological sciences. John Wiley & Sons, Chichester, 218 p.Google Scholar
  10. Groom, M.J. and N. Schumaker (1993). Evaluating landscape change: patterns of worldwide deforestation and local fragmentation. In: Biotic interactions and Global Change, P.M. Kareiva, J.G. Kingsolver and R.B. Huey (eds.), Sinauer Associates Inc., Sunderland, Massachusetts, 24–44.Google Scholar
  11. Heywood, V.H. and R.T. Watson (1995). Global biodiversity assessment. United Nations Environment Programme. Cambridge University Press, Cambridge, 1140 p.Google Scholar
  12. James, M. (1987). Pattern recognition. BSP Professional Books, Oxford, 144 p.Google Scholar
  13. Jang, B.-K. and R.T. Chin (1990). Analysis of thinning algorithms using mathematical morphology. IEEE Transactions on Pattern Analysis and Machine Intelligence 12(6): 541–551.Google Scholar
  14. Lord, J.M. and D.A. Norton (1990). Scale and spatial concept of fragmentation. Conservation Biology 4(2): 197–202.Google Scholar
  15. Milne, B.T. (1991). Lessons from applying fractal models to landscape patterns. In: Quantitative methods in landscape ecology, M.G. Turner and R.H. Gardner (eds.), Springer-Verlag, New York, 119–235.Google Scholar
  16. Saunders, D.A., R.J. Hobbs, and C.R. Margules (1991). Biological consequences of ecosystem fragmentation: a review. Conservation Biology 5(1): 18–32.Google Scholar
  17. Serra, J. (1982). Image analysis and mathemaical morphology. Academic Press, London, 610 p.Google Scholar
  18. Serra, J. (1986). Introduction to mathematical morphology. Computer Vision, Graphics, and Image Processing 35: 283–305.Google Scholar
  19. USA-CERL (1993). GRASS 4.1 User's Reference Manual. United States Army Corps of Engineers, Construction Engineering Research Laboratories, Champaign, Illinois.Google Scholar
  20. Van Miegroet, M. (1976). Van bomen en bossen. Deel I. E. Story Scientia P.V.B.A., Gent, 630 p. (in dutch).Google Scholar

Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • J. Bogaert
    • 1
  • P. Van Hecke
    • 1
  • I. Impens
    • 1
  1. 1.Departement Biologie, Laboratorium voor Plantenecologie, Onderzoeksgroep Vegetatie-ecologieUniversitaire Instelling AntwerpenWilrijk, AntwerpenBelgium

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