Landscape Dynamics and Ecological Risk Assessment of Cold Temperate Forest Moose Habitat in the Great Khingan Mountains, China

. 2023 Aug 11;12(8):1122. doi: 10.3390/biology12081122

Indexes	Formula
Class area	$C A = \sum_{k = 1}^{n} (\binom{1}{1000}) A_{i k}$ $A_{i k}$ represents the area of the $k$ patches of category $i$ landscape elements, and n is the number of patches.
Patch density	$P D = N_{i} / A$ $N_{i} represents the total number of patches in category i$ landscape. An is the total landscape area.
Landscape shape index	$L P I = a_{i} / A * 100 %$ $a_{i}$ $represents the maximum patch area of category i$ landscape.
Landscape shape index	$L S I = C_{i} / C_{π}$ $C_{i}$ $represents the perimeter of type i$ landscape and represents the perimeter of the circle of the same area.
Mean fractal dimension	$F R A C_M N = \sum_{i = 1}^{m} \sum_{k = 1}^{n} [2 \ln (0.25 C_{i k}) / \ln A_{i k}] / N$ $m is the total number of landscape types and C_{i k}$ $is the perimeter of patch i k$ .
Patch cohesion index	$C O H E I S I O N = {x [1 - \frac{\sum_{k = 1}^{n} C_{i k}}{\sum_{k = 1}^{n} C_{i k} \sqrt{s_{i k}}}] [1 - \frac{1}{\sqrt{A}}]}^{- 1} * 100 s_{i k}$ $is the area of plaque i k$ .
Contagion index	$\begin{matrix} C O N T A G = [1 + \sum_{i = 1}^{m} \sum_{x = 1}^{m} [(p_{i}) (\frac{g_{i x}}{\sum_{x = 1}^{m} g_{i x}})] [\ln (p_{i}) * (g_{i x} \\ / \sum_{x = 1}^{n} g_{i x}) / 2 \ln m]] * 100 \end{matrix}$ $g_{i x}$ $is the number of grids adjacent to x$ of landscape type $i$ .
Split index	$S P L I T = M_{i} / A_{i}$ $M_{i}$ $is the distance index of type i$ landscape.
Shannon’s diversity index	$S H D I = - \sum_{i = 1}^{n} (p_{i} * \ln p_{i})$ $p_{i}$ $refers to the proportion of category i$ landscape to the total landscape area.
Shannon’s evenness index	$S H E I = (- \sum_{i = 1}^{n} (p_{i} * \ln p_{i})) / \ln (n)$
Aggregation index	$A I = [\frac{g_{i i}}{m a x} \to g_{i i}]$ $g_{i i}$ refers to the number of adjacent patches in the adjacent landscape.