networkx.algorithms.centrality.trophic_differences

trophic_differences(G, weight='weight')[source]

Compute the trophic differences of the edges of a directed graph.

The trophic difference \(x_ij\) for each edge is defined in Johnson et al. [1] as:

\[x_ij = s_j - s_i\]

Where \(s_i\) is the trophic level of node \(i\).

Parameters
GDiGraph

A directed networkx graph

Returns
diffsdict

Dictionary of edges with trophic differences as the value.

References

1

Samuel Johnson, Virginia Dominguez-Garcia, Luca Donetti, Miguel A. Munoz (2014) PNAS “Trophic coherence determines food-web stability”