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Table 1 Network metrics used in this study. In the "Range of values" column, square brackets indicate that a range includes the endpoint and parentheses indicate that a range excludes the endpoint. In each example diagram, nodes of different colors represent different habitat types or land cover classes

From: Urban specialization reduces habitat connectivity by a highly mobile wading bird

Name

Definition

Ecological interpretation

Range of values

Example

Network-level metrics

 Edge density

The proportion of potential connections in the network that are realized

Landscape connectedness

(0,1]

 Assortativity

The tendency of nodes with similar properties to be connected to one another

Connectivity among habitats of the same vs. of different types

[-1,1]

 Modularity

The ability of a network to be divided into communities, where there are few edges between communities

Aggregation of groups of patches, “functional spatial structure” [46]

[0,1]

Node-level metrics

 Degree centrality

The number of links of a focal node. In a directed network, can be in-degree (the number of incoming links) or out-degree (the number of outgoing links)

The potential number of other patches that a contaminant, nutrient, etc. could directly spread to (out-degree) or come from (in-degree)

(0,N] (N=# of nodes in net-work)

 Betweenness centrality

The fraction of shortest paths between nodes that pass through the focal node

Role of a patch as a “stepping stone” that connects otherwise-separated groups of patches

[0,1]

 Node size

Sum of all edge weights entering and leaving a node

Number of visits to a patch

[1,Infinity)