
Figure 1
Vilas County is a lake-rich region of northern Wisconsin that supports recreational fishing opportunities, which are an important component of the region’s economy.

Figure 2
The average number (A) and rate (B) of new variables added to our understanding of the social-ecological system declined as the number of informants interviewed increased. The lines represent means from a rarefaction analysis that added informants at random.

Figure 3
All concepts and variables present in stakeholder mental models coded into the Social Ecological Systems Framework (SESF) using attribution (closed arrows) or subsumption (open arrows) relationships (see Hinkel et al. 2014). See Table S1 for how concepts from FCMS were coded in the SESF.

Figure 4
Stakeholders consistently included more actor concepts in their mental models compared to governance and environment concepts and researchers included more resource system concepts than managers and anglers. Mean values highlighted with asterisks indicates that they were significantly different from those without asterisks.

Figure 5
(A) Stakeholders consistently reported larger influences of actor and resource system variables on other variables (outdegree) compared to governance and environment variables. However, (B) The cumulative effects that other variables had on a given variable (indegree) did not significantly differ among the SESF components. Mean values highlighted with asterisks indicates that they were significantly different from those without asterisks.

Figure 6
The larger representation of actor and resource system concepts and their influence on other concepts did not lead to significant differences in equilibrium outcomes among Social Ecological System Framework components. Average equilibrium outcomes were calculated as the average percent change of state variables within the four Social Ecological System Framework components at equilibrium from initial conditions. Equilibrium conditions were determined from adjacency matrices that iterated out the relationships described in fuzzy cognitive maps to an equilibrium state.
