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calc_fractal_dimensions [2020/04/01 19:08] britaldo created |
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- | Calc Fractal Dimensions | + | ====== Calc Fractal Dimensions ====== |
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+ | ===== Description ===== | ||
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+ | This submodel calculates the fractal dimensions per map category and r2 from regressing patch areas on their edges. | ||
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+ | ===== Inputs ===== | ||
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+ | ^ Name ^ Type ^ Description ^ | ||
+ | | Landscape | [[Categorical Map Type | Categorical Map]] | Map of classes or categories output from an execution pipeline. | | ||
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+ | ===== Outputs ===== | ||
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+ | ^ Name ^ Type ^ Description ^ | ||
+ | | Fractal Dimensions | [[Table | Table]] | Table | | ||
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+ | ===== Group ===== | ||
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+ | Landscape Metrics | ||
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+ | ===== Notes ===== | ||
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+ | The fractal dimension is an index used to assess the complexity of the geometry of the landscape patches, which is evaluated using the area-perimeter relationship (LOVEJOY, 1982; MAMDELBROT, 1983). | ||
+ | P ~ AD / 2 | ||
+ | The total fractal dimension (D) of a landscape can be estimated by regressing the log (P) in the log (A) and evaluating D, as twice the slope of the regression line (LOVEJOY, 1982), where P is the perimeter and A the area of each patch. In a landscape, composed of simple geometric shapes such as rectangles and squares, the fractal dimension will be small, approaching 1.0. In a landscape with many patches with convoluted and complex shapes, the perimeter begins to fill in the plane and P ~ A with D -> 2. (KRUMMEL et al. 1987). Therefore, substantial changes in the shape of landscape patches must reflect changes in the fractal dimension. | ||
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+ | LOVEJOY, S. Area-perimeter relation for rain and cloud areas. Science, v.216, p.185-87, 1982. | ||
+ | MANDELBROT, B. The fractal geometry of nature. New York, W.H. Freeman, 1983. | ||
+ | RIPPLE, W; BRADSHAW, G.A.; SPIES, T.A. Measuring forest landscape patterns in Cascade range of Oregon, U.S.A. Biological Conservation, v. 57, p. 73-88, 1991. | ||
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