The Application of Geographic Information System in Urban Forest Ecological Compensation and Sustainable Development Evaluation
To evaluate the comprehensive benefit of the ecological compensation of urban forests in Tai’an city, an evaluation system based on the analytic hierarchy process and geographic information system was established. Based on the comprehensive benefit evaluation of urban forests in the research area, corresponding calculation standards and methods for ecological compensation were proposed. Finally, by analyzing the problems of urban forests and ecological compensation in the area, strategies for ecological compensation and sustainable development are proposed.
2.1. Construction of an Urban Forest Information Database Based on GIS
2.2. Construction of Comprehensive Benefit Evaluation Index System for Urban Forests
$${b}_{ij}=\frac{{a}_{ij}}{{\displaystyle {\sum}_{i=1}^{n}{a}_{ij}}}\left(i=1,2,\dots ,n\right)$$
$${V}_{i}={\displaystyle {\sum}_{j=1}^{n}{b}_{ij}}\left(i,j=1,2,\dots ,n\right)$$
$${W}_{i}=\frac{{v}_{i}}{{\displaystyle {\sum}_{i=1}^{n}{V}_{i}}}\left(i=1,2,3,\dots ,n\right)$$
$${\lambda}_{\mathrm{max}}={\displaystyle {\sum}_{i=1}^{n}\frac{{\left(AW\right)}_{i}}{n{W}_{i}}}\left(i,j=1,2,3,\dots ,n\right)$$
$$\left\{\begin{array}{l}CI=\frac{{\lambda}_{\mathrm{max}}n}{n1}\\ CR=\frac{CI}{RI}\end{array}\right.$$
$$R=\left(\begin{array}{cccc}{r}_{11}& {r}_{12}& \cdots & {r}_{1m}\\ {r}_{21}& {r}_{22}& \cdots & {r}_{2m}\\ \cdots & \cdots & \cdots & \cdots \\ {r}_{n1}& {r}_{n2}& {r}_{n3}& {r}_{nm}\end{array}\right),0\le {r}_{ij}\le 1$$
2.3. Construction of Evaluation Index System for Urban Forest Ecological Compensation Standards
$${U}_{g}={G}_{g}\times {C}_{t}/\rho $$
$${U}_{x}={G}_{s{o}_{2}}\times {K}_{s{o}_{2}}+{G}_{f}\times {K}_{f}+{G}_{N}\times {K}_{N}$$
$${U}_{z}={U}_{TSP}+{U}_{PM10}+{U}_{PM2.5}$$
$${U}_{w\&s}={K}_{w\&s}\times {G}_{w\&s}$$
$${U}_{bhr}={K}_{sterilize}\times {G}_{sterilize}$$
In Equation (17), ${K}_{sterilize}$ represents the sterilization cost. ${G}_{sterilize}$ represents the annual bactericidal capacity of the evaluated forest stand.
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