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--- geodma_2:features [2017/02/14 19:12] – [Landscape-based features] raian
+++ geodma_2:features [2017/09/18 19:54] – [Landscape-based features] raian
@@ Linha 1: / Linha 1: @@
-====== GeoDMA 2.0 Features ======
+====== GeoDMA Features ======
 GeoDMA has metrics integrating Polygons, Cells, and Images. Through image segmentation, GeoDMA creates Polygons.
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 | POL_FRACTALDIM | Returns the fractal dimension of an object. | $2 \frac{\log {\frac{\textit{perimeter}}{4}} }{\log area}$ | $[1, 2]$ | - |
 | POL_GYRATION_RATIUS | This feature is equals the average distance between each vertex of the polygon and it's centroid. The more similar to a circle is the object, the more likely the centroid will be inside it, and therefore this feature will be closer to 0. | $\frac{\sum{\sqrt{(x_i - x_C)^2 + (x_i - x_C)^2}}}{N}$ | $\geq 0$ | $[m, degrees, ...]$ |
+| POL_RADIUS | Returns the polygon radius. It corresponds to the maximum distance between the polygon centroid its vertexes. | $R$ | $>0$ | - |
 | POL_BBOX_LENGTH | It is the height of the object's bounding box, measured in the unit of measure of the current Spatial Reference System. | | $\geq 0$ | $[m, degrees, ...]$ |
 | POL_PERIMETER | Returns the perimeter of the object, measured in the unit of measure of the current Spatial Reference System. | | $\geq 0$ | $[m,degrees,...]$ |
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 | c_PERCENTLAND | $\%Land$ equals the sum of the areas ($m^2$) of all patches of the corresponding patch type (class), divided by total landscape area ($m^2$). $\%Land$ is equals to the percentage the landscape comprised of the corresponding patch type (class). | $PLAND = \frac{\sum_{j=1}^n a_j}{A} \times 100$ | $\left[0, 100\right]$ | $\%$ |
 | c_PD | PD stands for Patch Density, which is equals the number of patches in the landscape, divided by total landscape area ($m^2$), multiplied by 10,000 and 100 (to convert to 100 hectares). Note, PD does not include background patches or patches in the landscape border, if present. However, total landscape area ($A$) includes any internal background present. | $PD = \frac{n}{A} \times 10000 \times 100$ | $\geq 0$ | Number/100ha |
-| c_MPS | Mean Patch Size equals 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_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 | Patch Size Std is the root mean squared error (deviation from the mean) in patch size. This is the population standard deviation, not the sample standard deviation. | $\sqrt{\frac{\sum_{j=1}^n \left(a_j - MPS \right)^2}{n}} 10^{-4}$ | $\geq 0$| $ha$ |
+| 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 $n > 3$. | $IJI = \frac{-\sum_{j=1}^n (\frac{e_j}{\sum_{k=1}^n e_k}) \times \ln{(\frac{e_j}{\sum_{k=1}^n e_k})}}{\ln(m - 1)} \times 100$ | $[0, 100]$ | $\%$ |
 | 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. | $PR = m$ | $\geq0$ |  |
+| c_BIA | BIA stands for the Biggest Intersection Area. |  |  | $ha$ |
+| c_TAOBIA | TAOBIA stands for the Total Area of the Object with Biggest Intersection Area. |  |  | $ha$ |
+| PR | PR stands for Patch Richness, which is equals the number of different patch types (classes) present within the landscape boundary. | $PR = m$ | $\geq0$ |  |
 | PRD | PRD stands for Patch Richness Density, which is equals the number of different patch types present within the landscape boundary divided by total landscape area ($m^2$), multiplied by $10,000$ and $100$ (to convert to $100$ hectares). Note, total landscape area ($A$) includes any internal background present. | $PRD = \frac{m}{A} \times 10000 \times 100$ | $\geq0$ | $Number/100 ha$ |
 | SHDI | SHDI stands for Shannon's Diversity Index, which is equals to minus the sum, across all patch types, of the proportional abundance of each patch type multiplied by that proportion. Note, $P_i$, which is the proportion of the landscape occupied by patch type (class) $i$, is based on total landscape area ($A$) excluding any internal background present. | $SHDI = -\sum_{i = 0}^{m} P_i \times \ln{P_i}$ | $\geq0$ | |