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

被引：29

作者：

Bogaert, J ^{[1
]}

Myneni, RB

Knyazikhin, Y

机构：

[1] Boston Univ, Dept Geog, Climate & Vegetat Res Grp, Boston, MA 02215 USA

[2] Univ Antwerp, Dept Biol, Res Grp Plant & Vegetation Ecology, B-2610 Antwerp, Belgium

来源：

LANDSCAPE ECOLOGY | 2002年 / 17卷 / 01期

关键词：

aggregation index; index redundancy; landscape metric; perimeter; pixel edge; pixel geometry; shape index; spatial pattern;

D O I：

10.1023/A:1015204923187

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

In a recent paper [Landscape Ecol. 15: 591-601 (2000)] He et al. described an aggregation index AI(i), to measure pixel aggregation within a single class i. We show that the commonly used shape index SIi is related to the proposed aggregation metric as SIi = Phi(A(i)) + AI(i)(1 - Phi(A(i))), with Phi(A(i)) dependent on class area A(i) only. Moreover, it is shown that the normalized shape index, SIi*, equals (1 - AI(i)). We conclude that AI(i) does not provide any information not provided by SIi, or SIi*.

引用

页码：87 / 90

页数：4

共 9 条

[1] Alternative area-perimeter ratios for measurement of 2D shape compactness of habitats
Bogaert, J
Rousseau, R
Van Hecke, P
Impens, I
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2000, 111 (01) : 71 - 85
[2] Measuring 2-D shape compactness using the contact perimeter
Bribiesca, E
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 33 (11) : 1 - 9
[3] An aggregation index (AI) to quantify spatial patterns of landscapes
He, HS
DeZonia, BE
Mladenoff, DJ
[J]. LANDSCAPE ECOLOGY, 2000, 15 (07) : 591 - 601
[4] FRAGMENTATION INDEX AS A REGION-BASED GIS OPERATOR
JOHNSSON, K
[J]. INTERNATIONAL JOURNAL OF GEOGRAPHICAL INFORMATION SYSTEMS, 1995, 9 (02): : 211 - 220
[5] McGarigal K, 1995, PNWGTR351 USDA FOR S
[6] Effects of landscape patterns on biotic communities
Miller, JN
Brooks, RP
Croonquist, MJ
[J]. LANDSCAPE ECOLOGY, 1997, 12 (03) : 137 - 153
[7] Milne B.T., 1991, QUANTITATIVE METHODS, V82, P199
[8] Indices of landscape pattern
O'Neill, R. V.
Krummel, J. R.
Gardner, R. H.
Sugihara, G.
Jackson, B.
DeAngelis, D. L.
Milne, B. T.
Turner, M. G.
Zygmunt, B.
Christensen, S. W.
Dale, V. H.
Graham, R. L.
[J]. LANDSCAPE ECOLOGY, 1988, 1 (03) : 153 - 162
[9] Pearson SM, 1999, LANDSCAPE ECOLOGICAL ANALYSIS: ISSUES AND APPLICATIONS, P335

← 1 →