Table 6 Calculation of landscape ecological risk index.

From: Spatio-temporal variations and multi-scenario simulation of landscape ecological risk in the drylands of the Yellow River Basin

Index

Formula

Description

Landscape fragmentation (Fi)

\({\text{F}}_{{\text{i}}} = \frac{{{\text{n}}_{{\text{i}}} }}{{{\text{A}}_{{\text{i}}} }}\)

ni denotes the patch count for the landscape i; Ai represents the total area of the landscape i

Landscape separation (Si)

\({\text{S}}_{{\text{i}}} = \frac{{\text{A}}}{{2{\text{A}}_{{\text{i}}} }}\sqrt {\frac{{{\text{n}}_{{\text{i}}} }}{{\text{A}}}}\)

ni denotes the patch count for the landscape i; Ai represents the total area of the landscape i; A indicates the total area

Landscape dominance (Di)

\({\text{D}}_{{\text{i}}} = \alpha {\text{L}}_{{\text{i}}} + \beta {\text{M}}_{{\text{i}}}\)

Li denotes the ratio of the area for the landscape i and the total area for the study region; Mirepresents the ratio of the patch count for the landscape i and the total number for all patches; α and β indicate the weights of Li and Mi (0.6 and 0.4, respectively)

Landscape disturbance (Ei)

\({\text{E}}_{{\text{i}}} {\text{ = aF}}_{{\text{i}}} {\text{ + bS}}_{{\text{i}}} {\text{ + cD}}_{{\text{i}}}\)

a, b, and c denotes the weights of Fi, Si and Di (0.5, 0.3 and 0.2, respectively)25,28,73