Figure 2: Rank of management performance given a budget of 25% required to manage all species in the food web.

Rank is across 100 simulations of extinction risk (drawn from a Beta distributionwith α=2 and β=8) and interaction strengths (drawn from a lognormal distribution with log-mean—3.0 and log-s.d.—1.5) for six real webs (a), and across all 10 iterations for 20 hypothetical food webs with connectance of 0.1 (b) and 0.2 (c). Extinction risk with management is zero. The greedy approach is used for large food webs (n>14) instead of the optimal strategy. Standard competition ranking is used and ten is the best ranking. The center value is the median, the edges of the box the 25th and 75th percentiles, and the whiskers represent +/−1.5 the inter-quartile range. Black, naïve; orange, interactions; dark blue, interactions and strengths; light blue, interactions and trophic structure; red, all complexities. BC, Betweenness Centrality; BU, Bottom-Up Prioritization; CE, Cascading Extinction; DT, Dominator Tree; Gdy, Greedy approach; Key, Keystone Index; ND, Node Degree; O/G, Optimal or Greedy; PR, modified Google PageRank; Rnd, Random strategy; ROI, Return-On-Investment; wBC, weighted BC; wCC, weighted CC.