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. 2015 Jul;52(9):1594–1614. doi: 10.1177/0042098015577773

Table 6.

Decomposition analysis of sources of urban sprawl indices.a

Variables Ln(ArtifArea) Ln(Scatt)
(1) (2) (3) (4) (5) (6) (7)
Changes in variables (percent) Estimated parameter Impact on ArtifArea Contribution (percent) Estimated parameter Impact on Scatt Contribution (percent)
Ln(POP) 5.36 0.170 0.911 4.96 −0.237 −1.27 14.00
Ln(GDPcap) 68.00 0.210 14.28 77.60 −0.035 −2.38 26.24
Residual 17.44 59.76
ArtifArea 18.40 100
Scatt −9.07 100

Notes: aThe decomposition analysis follows three steps. First, the percentage change of each variable between 1990 and 2000 is calculated (column 1). Then column 1 is multiplied by parameters estimated for each index (columns 2 and 5) to obtain the impact of each time-varying variable on both indices, respectively (columns 3 and 6). Finally, the impact of each variable is divided by the percentage change in ArtifArea (18.4%) and Scatt (−9.07%) to obtain the contribution of each variable to changes in ArtifArea (column 4) and Scatt (column 7).