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--- geodma_2:features [2017/02/14 19:38] – [Landscape-based features] raian
+++ geodma_2:features [2017/02/15 19:49] – [Landscape-based features] raian
@@ Linha 69: / Linha 69: @@
 | c_MPS | MPS stands for Mean Patch Size, which is equals to the sum of the areas ($m^2$) of all patches of the corresponding patch type, divided by the number of patches of the same type. | $MPS = \frac{\sum_{j=1}^n a_j}{n} 10^{-4}$ | $\geq 0$| $ha$ |
 | c_PSSD | PSSD stands for Patch Size Standard Deviation, which is the root mean squared error (deviation from the mean) in patch size. This is the population standard deviation, not the sample standard deviation. | $PSSD = \sqrt{\frac{\sum_{j=1}^n \left(a_j - MPS \right)^2}{n}} 10^{-4}$ | $\geq 0$| $ha$ |
-| c_LSI | Landscape Shape Index equals the sum of the landscape boundary and all edge segments ($m$) within the boundary. This sum involves the corresponding patch type (including borders), divided by the square root of the total landscape area ($m^2$). | $\frac{\sum_{j=1}^n e_j}{2\sqrt{\pi \times A}}$| $\geq 1$| - |
+| c_LSI | LSI stands for Landscape Shape Index, which is equals the sum of the landscape boundary and all edge segments ($m$) within the boundary. This sum involves the corresponding patch type (including borders), divided by the two times the square root of the total landscape area ($m^2$) multiplied by pi ($\pi$). | $LSI = \frac{\sum_{j=1}^n e_j}{2\sqrt{\pi \times A}}$ | $\geq 1$| - |
-| c_MSI | Mean Shape Index equals the sum of the patch perimeter ($m$) divided by the square root of patch area ($m^2$) for each patch of the corresponding patch type. | $\frac{\sum_{j=1}^n \frac{p_j}{2 \times \sqrt{\pi \times a_j}}}{n}$| $\geq 1$| - |
+| c_MSI | MSI stands for Mean Shape Index, which is equals the sum of the patch perimeter ($m$) by divided two times the square root of patch area ($m^2$) multiplied by pi ($\pi$) for each patch of the corresponding patch type, divided by the the number of patches of the same patch type (class). | $MSI = \frac{\sum_{j=1}^n \frac{p_j}{2 \times \sqrt{\pi \times a_j}}}{n}$| $\geq 1$| - |
-| c_AWMSI | Area-Weighted MSI equals the sum, across all patches of the corresponding patch type, of each patch perimeter ($m$) divided by the square root of patch area ($m^2$). | $\sum_{j=1}^n \left[ \frac{p_j}{2 \sqrt{\pi \times a_j}} \times \frac{a_j}{\sum_{j=1}^n a_j} \right]$| $\geq 1$| - |
+| c_AWMSI | AWMSI stands for Area-Weighted MSI, which is equals the sum of the landscape boundary and all edge segments ($m$) within the boundary. This sum involves the corresponding patch type (including borders), divided by the two times the square root of the total landscape area ($m^2$) multiplied by pi ($\pi$). This first term is multiplied by the area of the corresponding patch, divided by the sum of the areas of all patches of the same patch type (class).| $AWMSI = \sum_{j=1}^n \left[ \frac{p_j}{2 \sqrt{\pi \times a_j}} \times \frac{a_j}{\sum_{j=1}^n a_j} \right]$| $\geq 1$| - |
-| c_MPFD | MPFD stands for the Mean Patch Fractal Dimension. | $\frac{\sum_{j=1}^{n} \frac{2 \times \ln{p_j}}{\ln{a_j}}}{N}$ | | |
+| c_MPFD | MPFD stands for the Mean Patch Fractal Dimension. | $MPFD = \frac{\sum_{j=1}^{n} \frac{2 \times \ln{p_j}}{\ln{a_j}}}{N}$ | | |
-| c_AWMPFD| AWMPFD stands for Area-weighted Mean Patch Fractal Dimension. | $\sum_{j = 1}^{n} [\frac{2 \times \ln{p_j}}{\ln{a_j}} \times \frac{a_j}{\sum_{j = 1}^{n} a_{ij}}}]$ | | |
+| c_AWMPFD| AWMPFD stands for Area-weighted Mean Patch Fractal Dimension. | $AWMPFD = \sum_{j = 1}^{n} [\frac{2 \times \ln{p_j}}{\ln{a_j}} \times \frac{a_j}{\sum_{j = 1}^{n} a_{ij}}}]$ | | |
-| c_ED | Edge Density equals the sum of the lengths ($m$) of all edge segments involving the corresponding patch type, divided by the total landscape area ($m^2$). | $\frac{\sum_{j=1}^m e_j}{A} 10^{4}$| $\geq 0$| $m/ha$ |
+| c_ED | ED stands for Edge Density, which is equals the sum of the lengths ($m$) of all edge segments involving the corresponding patch type, divided by the total landscape area ($m^2$). | $ED = \frac{\sum_{j=1}^m e_j}{A} 10^{4}$| $\geq 0$| $m/ha$ |
-| c_MPAR | Mean Perimeter Area Ratio equals the sum of ratios between perimeters and areas, divided by the number of patches of the same type. | $\frac{ \sum_{j=1}^n \frac{p_j}{a_j}}{n}$| $\geq 0$| $m^{-1}$ |
+| c_MPAR | MPAR stands for Mean Perimeter Area Ratio, which is equals the sum of ratios between perimeters and areas, divided by the number of patches of the same type. | $MPAR = \frac{ \sum_{j=1}^n \frac{p_j}{a_j}}{n}$| $\geq 0$| $m^{-1}$ |
-| c_PSCOV | Patch Size Coefficient of Variation calculates the ratio between the features c_PSSD and c_MPS. | $\frac{PSSD}{MPS} \times 100$| $\geq 0$| - |
+| c_PSCOV | PSCOV stands for Patch Size Coefficient of Variation, which calculates the ratio between the features c_PSSD and c_MPS. | $PSCOV = \frac{PSSD}{MPS} \times 100$| $\geq 0$| - |
 | c_NP | NP stands for Number of Patches, which is equals to the number of patches of a corresponding patch type (class) inside a particular landsacape. | $NP = n$ | $\geq 0$ | - |
-| c_TE | TE equals the total size of the edge. | $\sum_{j=0}^n e_j$| $\geq 0$ | $m$ |
+| c_TE | TE stands for Total Edges, which is equals the total size of the edges of the all patches of the given patch type (class). | $TE = \sum_{j=0}^n e_j$ | $\geq 0$ | $m$ |
-| c_IJI | IJI stands for Interspersion and Juxtaposition Index.  The observed interspersion over the maximum possible interspersion for the given number of patch types. It only exists for $n > 3$. | $\frac{-\sum_{j=1}^n (\frac{e_j}{\sum_{k=1}^n e_k}) \times \ln{(\frac{e_j}{\sum_{k=1}^n e_k})}}{\ln(n - 1)} \times 100$ | $[0, 100]$ | $\%$ |
+| c_IJI | IJI stands for Interspersion and Juxtaposition Index.  The observed interspersion over the maximum possible interspersion for the given number of patch types. It only exists for $n > 3$. | $IJI = \frac{-\sum_{j=1}^n (\frac{e_j}{\sum_{k=1}^n e_k}) \times \ln{(\frac{e_j}{\sum_{k=1}^n e_k})}}{\ln(n - 1)} \times 100$ | $[0, 100]$ | $\%$ |
 | c_TABO | TABO stands for the Total Area of the Biggest Object that intersects the landscape. |  |  | $ha$ |
 | PR | PR stands for Patch Richness, which is equals the number of different patch types present within the landscape boundary. | $PR = m$ | $\geq0$ |  |