This helper function converts a bipartite matrix into a one-mode matrix.
A matrix with lower trophic level species as rows, higher trophic level species as columns and number of interactions as entries.
What shall unobserved combinations be represented as in the one-mode matrix (see below)? Defaults to 0. Set to NA if links not possible for bipartite networks should be masked (i.e. those within a level).
There are different ways to convert a two-mode (bipartite) network into one-mode networks. The most common is to focus on one set (e.g. the n pollinators) and compute a n x n matrix with entries between species that pollinate the same plant (“higher”). Similarly, one can compute a k x k matrix for the k plant species (“lower”). Or, finally and the default, one can compute an (n+k) x (n+k) matrix in which only the observed interactions are present (“full”). This is in fact a near-trivial, symmetric matrix with 0s between species of the same trophic level.
Logical; shall the strength of links be included in the one-mode output? Defaults to TRUE, but can be set to FALSE to turn a weighted two-mode into a binary one-mode network.
In bipartite (or: two-mode) networks, participants are of different types (e.g. pollinators and plants, actors and parties in social research). Hence, a party cannot connect to another party except through actors. A pollinator interacts with another pollinator only through the host plant.
Much network theory, however, is based on one-mode networks, where all participants are listed in one vector, i.e. plants and pollinators alike, actors together with events. This function here transforms the more condensed bipartite representation into a one-mode-representation, filling the unobserved type of interactions (i.e. plants with plants and pollinators with pollinators) with 0 (unless you specify it differently in fill).
The lower trophic level (e.g. plants or rows) is listed first, then the higher trophic level (e.g. pollinators or columns). Hence, pollinator 2 becomes species number r+2, where r is the number of rows of the network matrix.
The benefit of this conversion is access to the wonderful R-package Social Network Analysis (sna), with its many one-mode indices (such as
kpath.census and so forth). Furthermore,
gplot in that package also provides cool network depictions well worth checking out.
With respect to bipartite,
as.one.mode is employed in the function
nodespec, which itself uses the sna-function
A matrix of dimension (n+k) x (n+k), where n and k are the dimensions of the input web. Both dimensions are given the names of the original web (first the lower, then the higher trophic level).
Carsten F. Dormann email@example.com
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