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A mathematical comment on the formulae for the aggregation index and the shape index

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Abstract

Ina recent paper [Landscape Ecol. 15: 591–601 (2000)] He et al. describedanaggregation index AI i to measure pixelaggregation within a single class i. We show that thecommonly used shape index SI i is related to theproposed aggregation metric as SI i =Φ(A i) +AI i(1 −Φ(A i)), withΦ(A i) dependent on class areaA i only. Moreover, it is shown that thenormalized shape index, SI i *,equals (1 − AI i). We conclude thatAI i does not provide any information notprovided by SI i, orSI i *.

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Authors and Affiliations

  1. Department of Geography, Climate and Vegetation Research Group, Boston University, Boston, 02215-1401, USA

    Jan Bogaert, Ranga B. Myneni & Yuri Knyazikhin

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  1. Jan Bogaert
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  2. Ranga B. Myneni
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  3. Yuri Knyazikhin
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Bogaert, J., Myneni, R.B. & Knyazikhin, Y. A mathematical comment on the formulae for the aggregation index and the shape index. Landscape Ecol 17, 87–90 (2002). https://doi.org/10.1023/A:1015204923187

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