Fig. 3: Nestedness in ecological networks.
From: Ranking nodes in bipartite systems with a non-linear iterative map
a ratio of the nestedness temperature between the fitness-complexity map, γ = −1, TFC, and the best temperature found by our algorithm, Tbest γ. On the x-axis we show the matrix size as the sum of the number of rows and columns. Each point is an ecological matrix of section “Dataset''. b temperature ratio using the ordering of BINMATNEST, from the R package vegan, nestedtemp method. c temperature ratio using the ordering obtained from the procedure discussed in ref. 47. We used the algorithm of the repository associated to the paper with an hyperparameter β = 50. Notice that the algorithm failed for around 10% of the matrices, for which we do not report any point. d difference in the temperature Z-score for best-gamma ranking and the fitness complexity ranking. The underlying null model preserves on average the degree of rows and columns. e difference in the temperature Z-score for best-gamma ranking and the BINMATNEST ranking. f for each matrix we plot the value of γ that maximizes the extinction area, y-axis, and the one that maximized the nestedness temperature, x-axis.
