# lconnect Simple tools to derive landscape connectivity metrics and prioritize habitat patches based on their contribution to overall connectivity.

The objective of this package is to provide the simplest possible approach to derive landscape connectivity metrics.

’NC’ - Number of components (groups of interconnected patches) in the landscape (Urban and Keitt, 2001). Patches in the same component are considered to be accessible, while patches in different components are not. Highly connected landscapes have less components. Threshold dependent (dispersal distance).

’LNK’ - Number of links connecting the patches. Considering that the maximum distance is the species dispersal ability and that these graphs (landscapes) are binary, which means that the habitat patches are either connected or unconnected (Pascual-Hortal and Saura, 2006). Higher LNK implies higher connectivity. Threshold dependent (dispersal distance).

’SLC’ - Area of the largest component (group of interconnected patches) (Pascual- Hortal and Saura, 2006). Threshold dependent (dispersal distance).

’MSC’ - Mean component area (Pascual-Hortal and Saura, 2006). Threshold dependent (dispersal distance).

’CCP’ - Class coincidence probability. It is defined as the probability that two randomly chosen points within the habitat belong to the same component. Ranges between 0 and 1 (Pascual-Hortal and Saura 2006). Higher CCP implies higher connectivity. Threshold dependent (dispersal distance).

’LCP’ - Landscape coincidence probability. It is defined as the probability that two randomly chosen points in the landscape (whether in an habitat patch or not) belong to the same habitat component. Ranges between 0 and 1 (Pascual-Hortal and Saura 2006). Threshold dependent (dispersal distance).

’CPL’ - Characteristic path length. Mean of all the shortest paths between the network nodes (habitat patches) (Minor and Urban, 2008). The shorter the CPL value the more connected the patches are. Threshold dependent (dispersal distance).

’ECS’ - Expected cluster (component) size. Mean cluster size of the clusters weighted by area. (O’Brien et al.,2006 and Fall et al, 2007). This represents the size of the component in which a randomly located point in an habitat patch would reside. Although it is informative regarding the area of the component, it does not provide any ecologically meaningful information regarding the total area of habitat, as an example: ECS increases with less isolated small components or patches, although the total habitat decreases(Laita et al. 2011). Threshold dependent (dispersal distance).

’AWF’ - Area-weighted Flux. Evaluates the flow, weighted by area, between all pairs of patches (Bunn et al. 2000 and Urban and Keitt 2001). The probability of dispersal between two patches (pij), required by the AWF formula, was computed using pij=exp(-k*dij), where k is a constant making pij=0.5 at half the dispersal distance defined by the user. Does not depend on any distance threshold (probabilistic).

’IIC’ - Integral index of connectivity. Index developed specifically for landscapes by Pascual-Hortal and Saura (2006). It is based on habitat availability and on a binary connection model (as opposed to a probabilistic). It ranges from 0 to 1 (higher values indicating more connectivity). Threshold dependent (dispersal distance).

Bunn, A. G., Urban, D. L., and Keitt, T. H. (2000). Landscape connectivity: a conservation application of graph theory. Journal of Environmental Management, 59(4): 265-278.

Fall, A., Fortin, M. J., Manseau, M., and O’ Brien, D. (2007). Spatial graphs: principles and applications for habitat connectivity. Ecosystems, 10(3): 448-461.

Laita, A., Kotiaho, J.S., Monkkonen, M. (2011). Graph-theoretic connectivity measures: what do they tell us about connectivity? Landscape Ecology, 26: 951-967.

Minor, E. S., and Urban, D. L. (2008). A Graph-Theory Framework for Evaluating Landscape Connectivity and Conservation Planning. Conservation Biology, 22(2): 297-307.

O’Brien, D., Manseau, M., Fall, A., and Fortin, M. J. (2006). Testing the importance of spatial configuration of winter habitat for woodland caribou: an application of graph theory. Biological Conservation, 130(1): 70-83.

Pascual-Hortal, L., and Saura, S. (2006). Comparison and development of new graph-based landscape connectivity indices: towards the priorization of habitat patches and corridors for conservation. Landscape Ecology, 21(7): 959-967.

Urban, D., and Keitt, T. (2001). Landscape connectivity: a graph-theoretic perspective. Ecology, 82(5): 1205-1218.