View source: R/lsm_c_frac_mn.R

lsm_c_frac_mn | R Documentation |

Mean fractal dimension index (Shape metric)

```
lsm_c_frac_mn(landscape, directions = 8)
```

`landscape` |
A categorical raster object: SpatRaster; Raster* Layer, Stack, Brick; stars or a list of SpatRasters. |

`directions` |
The number of directions in which patches should be connected: 4 (rook's case) or 8 (queen's case). |

`FRAC_{MN} = mean(FRAC[patch_{ij}])`

where `FRAC[patch_{ij}]`

equals the fractal dimension index of each patch.

FRAC_MN is a 'Shape metric'. The metric summarises each class as the mean of the fractal dimension index of all patches belonging to class i. The fractal dimension index is based on the patch perimeter and the patch area and describes the patch complexity. The Coefficient of variation is scaled to the mean and comparable among different landscapes.

Because the metric is based on distances or areas please make sure your data
is valid using `check_landscape`

.

None

FRAC_MN > 0

Approaches FRAC_MN = 1 if all patches are squared and FRAC_MN = 2 if all patches are irregular.

McGarigal K., SA Cushman, and E Ene. 2023. FRAGSTATS v4: Spatial Pattern Analysis Program for Categorical Maps. Computer software program produced by the authors; available at the following web site: https://www.fragstats.org

Mandelbrot, B. B. 1977. Fractals: Form, Chance, and Dimension. San Francisco. W. H. Freeman and Company.

`lsm_p_frac`

,
`mean`

,

`lsm_c_frac_sd`

,
`lsm_c_frac_cv`

,

`lsm_l_frac_mn`

,
`lsm_l_frac_sd`

,
`lsm_l_frac_cv`

```
landscape <- terra::rast(landscapemetrics::landscape)
lsm_c_frac_mn(landscape)
```

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