The Euler number as an index of spatial integrity of landscapes: Evaluation and proposed improvement

Environmental Management

Volumn 29, Issue 5, 2002, Pages 673-682

  Bogaert, Jan ^a   Van Hecke, Piet ^a   Ceulemans, Reinhart ^a  

^a UNIVERSITY OF ANTWERP   (Belgium)

Author keywords

Euler number; Fragmentation; Landscape ecology; Percolation theory; Perforation; Spatial integrity

Indexed keywords

LAND USE; NUMERICAL METHODS; PERFORATORS;

EULER NUMBER;

ENVIRONMENTAL IMPACT;

ENVIRONMENTAL CONDITIONS; ENVIRONMENTAL QUALITY; EULERIAN ANALYSIS; HABITAT FRAGMENTATION; LANDSCAPE ECOLOGY;

CALCULATION; ECOSYSTEM; ENVIRONMENTAL PLANNING; LANDSCAPE; MATHEMATICAL ANALYSIS; PRACTICE GUIDELINE; REVIEW; SCIENCE; SENSITIVITY ANALYSIS; ARTICLE; ENVIRONMENTAL MONITORING; ENVIRONMENTAL PROTECTION; METHODOLOGY; THEORETICAL MODEL;

CONSERVATION OF NATURAL RESOURCES; ECOSYSTEM; ENVIRONMENTAL MONITORING; GUIDELINES; MODELS, THEORETICAL;

EID: 0036579736     PISSN: 0364152X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00267-001-0051-X     Document Type: Review

References (47)

1. Baskent, E. Z., and G. A. Jordan. 1995. Characterizing spatial structure of forest landscapes. Canadian Journal of Forest Research 25:1830-1849.
2. Berry, J. K. 1987. Fundamental operations in computer-assisted map analysis. International Journal of Geographical Information Systems 1:119-136.
3. Bogaert, J., and I. Impens. 1998. Generating random percolation clusters. Applied Mathematics and Computation 91:197-208.
4. Bogaert, J., P. Van Hecke, and I. Impens. 1999a. A reference value for the interior-to-edge ratio of isolated habitats. Acta Biotheoretica 47:67-77.
5. 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 6:275-290.
6. Bogaert, J., R. Rousseau, and P. Van Hecke. 2000a. Percolation as a model for informetric distributions: Fragment size distribution characterised by Bradford curves. Scientometrics 47:195-206.
7. Bogaert, J., R. Rousseau, P. Van Hecke, and I. Impens. 2000b. Alternative area-perimeter ratios for measurement of 2-D shape compactness of habitats. Applied Mathematics and Computation 111:71-85.
8. Bogaert, J., R. Moermans, and P. Van Hecke. 2000c. Fractal dimension of patches based on area and perimeter: Evaluation of the non-regression technique. Pages 51-59 in R. Ceulemans, J. Bogaert, G. Deckmyn and I. Nijs (eds.), Topics in ecology: Structure and function in plants and ecosystems. University of Antwerp, UIA, Wilrijk.
9. Bogaert, J., P. Van Hecke, D. Salvador-Van Eysenrode, and I. Impens. 2000d. Landscape fragmentation assessment using a single measure. Wildlife Society Bulletin 28:875-881.
10. Bogaert, J., D. Salvador-Van Eysenrode, P. Van Hecke, I. Impens, and R. Ceulemans. 2001. Land-cover change: Quantification metrics for perforation using 2-D gap features. Acta Biotheoretica 49:161-169.
11. Cain, D. H., K. Riitters, and K. Orvis. 1997. A multi-scale analysis of landscape statistics. Landscape Ecology 12:199-212.
12. Collinge, S. K., and R. T. T. Forman. 1998. A conceptual model of land conversion processes: Predictions and evidence from a microlandscape experiment with grassland insects. Oikos 82:66-84.
13. Davidson, C. 1998. Issues in measuring landscape fragmentation. Wildlife Society Bulletin 26:32-37.
14. DeMers, M. N. 1997. Fundamentals of geographic information systems. John Wiley & Sons, New York, 486 pp.
15. Farina, A. 1998. Principles and methods in landscape ecology. Chapman & Hall, London, 235 pp.
16. Farina, A. 2000. Landscape ecology in action. Kluwer Academic Publishers, Dordrecht, 317 pp.
17. Forman, R. T. T. 1997. Land mosaics - the ecology of landscapes and regions. Cambridge University Press, Cambridge, 632 pp.
18. Gardner, R. H., B. T. Milne, M. G. Turner, and R. V. O'Neill. 1987. Neutral models for the analysis of broad-scale landscape pattern. Landscape Ecology 1:19-28.
19. Giles, R. H. Jr., and M. K. Trani. 1999. Key elements of landscape pattern measures. Environmental Management 23:477-481.
20. GRASS Research Group and U.S. Army Construction Engineering Research Laboratories. 1998. Geographic Resources Analysis Support System 4.2.1, Baylor University, Waco and Office of GRASS Integration (OGI-USACERL), Champaign, Illinois.
21. Gustafson, E. J. 1998. Quantifying landscape spatial pattern: What is the state of the art? Ecosystems 1:143-156.
22. Gustafson, E. J., and G. R. Parker. 1992. Relationships between landcover proportion and indices of landscape spatial pattern. Landscape Ecology 7:101-110.
23. Gustafson, E. J., and G. R. Parker. 1994. Using an index of habitat patch proximity for landscape design. Landscape and Urban Planning 29:117-130.
24. Haines-Young R., and M. Chopping. 1996. Quantifying landscape structure: A review of landscape indices and their application to forested landscapes. Progress in Physical Geography 20:418-445.
25. Hargis, C. D., J. A. Bissonette, and J. L. David. 1998. The behaviour of landscape metrics commonly used in the study of habitat fragmentation. Landscape Ecology 13:167-186.
26. Herzog, F., A. Lausch, E. Müller, H. H. Thulke, U. Steinhardt, and S. Lehmann. 2001. Landscape metrics for assessment of landscape destruction and rehabilitation. Environmental Management 27:91-107.
27. Jaeger, J.A.G. 2000. Landscape division, splitting index, and effective mesh size: new measures of landscape fragmentation. Landscape Ecology 15:115-130.
28. Li, H., and J. F. Reynolds. 1994. A simulation experiment to quantify spatial heterogeneity in categorical maps. Ecology 75:2446-2455.
29. Malaisse, F., N'L. Dikumbwa, V. Blancke, and B. Leteinturier. 2000. Preliminary, observations on Zambezian dry evergreen forest gaps. Pages 143-153 in R. Ceulemans, J. Bogaert, G. Deckmyn and I. Nijs (eds.), Topics in ecology: Structure and function in plants and ecosystems. University of Antwerp, UIA, Wilrijk.
30. Martínez-Ramos, M., E. Alvarez-Buylla, J. Sarukhan, and D. Piñero. 1988. Treefall age determination and gap dynamics in a tropical forest. Journal of Ecology 76:700-716.
31. McIntyre, N. E., and J. A. Wiens. 2000. A novel use of the lacunarity index to discern landscape function. Landscape Ecology 15:313-321.
32. O'Neill, R. V., J. R. Krummel, R. H. Gardner, G. Sugihara, B. Jackson, D. L. DeAngelis, B. T. Milne, M. G. Turner, B. Zygmunt, S. W. Christensen, V. H. Dale, and R. L. Graham. 1988. Indices of landscape pattern. Landscape Ecology 1:153-162.
33. O'Neill, R. V., K. H. Riitters, J. D. Wickham, and K. B. Jones. 1999. Landscape pattern metrics and regional assessment. Ecosystem Health 5:225-233.
34. Pitas, I. 1995. Digital image processing algorithms. Prentice Hall, New York, 362 pp.
35. Poorter, L., L. Jans, F. Bongers, and R.S.A.R. Van Rompaey. 1994. Spatial distribution of gaps along three catenas in the most forest of Tai National Park, Ivory Coast. Journal of Tropical Ecology 10:335-398.
36. Riitters, K. H., R. V. O'Neill, C. T. Hunsaker, J. D. Wickham, D. H. Yankee, S. P. Timmins, K. B. Jones, and B. L. Jackson. 1995. A factor analysis of landscape pattern and structure metrics. Landscape Ecology 10:23-39.
37. Riitters, K. H., R. V. O'Neill, J. D. Wickham, and K. B. Jones. 1996. A note on contagion indices for landscape analysis. Landscape Ecology 11:197-202.
38. Salvador-Van Eysenrode, D., J. Bogaert, P. Van Hecke, and I. Impens. 1998. Influence of tree-fall orientation on canopy gap shape in an Ecuadorian rain forest. Journal of Tropical Ecology 14:865-869.
39. Salvador-Van Eysenrode, D., J. Bogaert, and I. Impens. 1999. Canopy gap morphology determinants in an Amazonian rain forest. Selbyana 20:339-344.
40. Salvador-Van Eysenrode, D., V. Zak-Mnacek, J. Bogaert, and P. Van Hecke. 2000. Species diversity and community structure of canopy gaps and mature forest patches in Amazonian Ecuador. Pages 133-141 in R. Ceulemans, J. Bogaert, G. Deckmyn and I. Nijs (eds.), Topics in ecology: Structure and function in plants and ecosystems. University of Antwerp, UIA, Wilrijk.
41. Saunders, D. A., R. J. Hobbs, and C. R. Margules. 1991. Biological consequences of ecosystem fragmentation: A review. Conservation Biology 5:18-32.
42. Scheiner, S. M. 1992. Measuring pattern diversity. Ecology 73:1860-1867.
43. Stauffer, D. 1985. Introduction to percolation theory. Taylor & Francis, London, 124 pp.
44. Tischendorf, L. 2001. Can landscape indices predict ecological processes consistently? Landscape Ecology 16:235-254.
45. Vitousek, P. M. 1994. Beyond global warming: ecology and global change. Ecology 75:1861-1876.
46. Walker, B., and W. Steffen (eds.). 1997. The terrestrial biosphere and global change: implications for natural and managed ecosystems. A synthesis of GCTE and related research. IGBP Science No. 1. IGBP, Stockholm, 32 pp.
47. With, K. A. 1997. The application of neutral landscape models in conservation biology. Conservation Biology 11:1069-1080.