4.7 Article

Alternative area-perimeter ratios for measurement of 2D shape compactness of habitats

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 111, Issue 1, Pages 71-85

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/S0096-3003(99)00075-2

Keywords

2D compactness; area-perimeter ratio; habitat shape; isoperimetric principle; landscape ecology; reference values for area and perimeter

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Area-perimeter ratios are often used to quantify 2D shape compactness. Shape compactness is of main importance to evaluate the effect of external disturbance on natural habitats, Reference values (A(min)(p), A(max)(p), P-min(a), P-max(a)) for area (A) and perimeter (P) are defined and proven. The calculation of these reference values is based on the characteristics of the object studied and on pixel geometry. The cases for 4- and 8-connectivity are discussed. Using these references, alternative area-perimeter ratios are composed. Examples are elaborated to illustrate the use of the indices and their performance, (C) 2000 Elsevier Science Inc, All rights reserved.

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