Landscape Index Mathematical Model Explanation Explanation
Class Area \(N=\sum_{i=1}^{n}a_{i}\) \(N=\sum_{i=1}^{n}a_{i}\) Total area of a certain type of class.
Patch Density \(PD=N/A\) \(PD=N/A\) Indicates the number of patches per unit area.
Largest Patch Index \(LPI=Max\ (a_{1}\ldots a_{n})\ /A*100\) \(LPI=Max\ (a_{1}\ldots a_{n})\ /A*100\) Quantifies the percentage of total landscape area comprised by the largest patch. As such, it is a simple measure of dominance.
Splitting Index \(SPLIT=A^{2}/\sum_{1}^{m}a_{i}^{2}\) \(SPLIT=A^{2}/\sum_{1}^{m}a_{i}^{2}\) Indicates the degree of dispersion and aggregation between patches of the same landscape type. The greater the value, the more separated the landscape, and the greater the number of small patches in the landscape.
Aggregation Index \(AI=\left[\sum_{i=1}^{m}{(g_{\text{ii}}/maxg_{\text{ii}})p_{i}}\right]*100\) \(AI=\left[\sum_{i=1}^{m}{(g_{\text{ii}}/maxg_{\text{ii}})p_{i}}\right]*100\) Reflects the proximity of the same type of plaque. When there is no common boundary between all plaques, the degree of aggregation is the lowest.