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Table 4 Descriptions of the selected landscape metrics.

From: Quantifying how urban landscape heterogeneity affects land surface temperature at multiple scales

Category

Metric

Equation

Range

Area and Edge

 

PLAND

C1(TB10 − TB11)

0 ≤ PLAND ≤ 100

TE

∑eik

TE ≥ 0, without limit.

ED

\( \frac{\sum {e}_{ik}}{A}(10000) \)

0 ≤ ED, no limit

Shape

PAFRAC

\( \frac{\frac{2}{\left[\left(\sum \mathit{\ln}{p}_{ij}-\mathit{\ln}{a}_{ij}\right)\right]-\left[\left(\sum \mathit{\ln}{p}_{ij}\right)\left(\sum \mathit{\ln}{a}_{ij}\right)\right]}}{\left(\sum \mathit{\ln}{p}_{ij}^2\right)-\left(\sum \mathit{\ln}{p}_{ij}\right)} \)

1 ≤ PAFRAC ≤ 2

Aggregation

LSI

\( \frac{0.25\sum {e}_{ik}}{\sqrt{A}} \)

1 ≤ LSI, no limit

 

SPLIT

\( \frac{A^2}{\sum {A}_{ij}^2} \)

1 ≤ SPLIT ≤ number of cells in the landscape area squared

 

NP

ni

NP ≥ 1, without limit

 

PD

\( \frac{n_i}{A}(10000)(100) \)

PD > 0, constrained by cell size