Name Abbreviation Level Unit
Patch area AREA class cell surfaces
Mean patch area AREA_MN class cell surfaces
Total class area CA class cell surfaces
Proportion of landscape PLAND / NON_FOCAL_PLAND class percentage
Number of patches NP class unitless
Patch density PD class patches per cell surface
Smallest patch index SPI class cell surfaces
Largest patch index LPI class cell surfaces
Effective mesh size MESH class cell surfaces
Splitting index SPLI class unitless
Net product NPRO class (cell surfaces)^2
Splitting density SDEN class (cell surfaces)^-1
Degree of coherence COHE class probability (in [0, 1])
Degree of landscape division DIVI class probability (in [0, 1])
• AREA : Patch area

Interval that defines the minimum and maximum allowed area for all patches of the landscape class.

• AREA_MN : Mean patch area

Interval that defines the minimum and maximum allowed mean patch area for the landscape class.

• CA : Total class area

Interval that defines the minimum and maximum allowed total area of the landscape class.

• PLAND and NON_FOCAL_PLAND: Proportion of landscape

Interval that defines the minimum and maximum allowed proportion of landscape occupied by the landscape class. NON_FOCAL_PLAND is used to enforce a PLAND target on the non-focal class, and is defined at the landscape level.

• NP : Number of patches

Interval that defines the minimum and maximum allowed number of patches in the landscape class.

• PD : Patch density

Interval that defines the minimum and maximum allowed patch density of the landscape class. Patch density is given by:

$PD = \frac{NP}{L}$

With NP the number of patches and L the landscape area.

• SPI : Smallest patch index

Interval that defines the minimum and maximum allowed size for the smallest patch of the landscape class.

• LPI : Largest patch index

Interval that defines the minimum and maximum allowed size for the largest patch of the landscape class.

• MESH : Effective mesh size

Interval that defines the minimum and maximum allowed effective mesh size. The effective mesh size is a fragmentation index based on the probability that two points that are randomly chosen are located in the main patch (Jaeger, 2000). It is given by:

$MESH = \frac{1}{L} \sum_{i=1}^{NP} A_i^2$ With L the total landscape area, NP the number of patches in the landscape class, and $$A_i$$ the area of patch $$i$$.

• SPLI : Splitting index

Interval that defines the minimum and maximum allowed splitting index. The splitting index was defined by Jaeger (2000) and is given by:

$SPLI = \frac{L^2}{\sum_{i=1}^{NP} A_i^2}$

With L the total landscape area, NP the number of patches, and $$A_i$$ the area of patch i.

• NPRO : Net product

Interval that defines the minimum and maximum allowed net product. The net product was defined by Jaeger (2000) and is given by:

$NPRO = \sum_{i=1}^{NP} A_i^2$ Where NP is the number of patches of the landscape class and $$A_i$$ the area of patch i.

• SDEN : Splitting density

Interval that defines the minimum and maximum allowed splitting density. The splitting density was defined by Jaeger (2000) and is given by:

$SDEN = \frac{L}{\sum_{i=1}^{NP} A_i^2}$

With L the total landscape area, NP the number of patches, and $$A_i$$ the area of patch i.

• COHE : Degree of coherence

Interval that defines the minimum and maximum allowed degree of coherence. The degree of coherence was defined by Jaeger (2000) and is given by:

$COHE = \sum_{i=1}^{NP}(\frac{A_i}{L})^2$ With L the total landscape area, NP the number of patches, and $$A_i$$ the area of patch i.

• DIVI : Degree of landscape division

Interval that defines the minimum and maximum allowed degree of landscape division. The degree of landscape division was defined by Jaeger (2000) and is given by:

$DIVI = 1 - \sum_{i=1}^{NP}(\frac{A_i}{L})^2$

With L the total landscape area, NP the number of patches, and $$A_i$$ the area of patch i.

#### References

Jaeger, J. A. G. (2000). Landscape division, splitting index, and effective mesh size: New measures of landscape fragmentation. Landscape Ecology, 15(2), 115-130. https://doi.org/10.1023/A:1008129329289