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Improving estimates of population status and trend with superensemble models
Authors:Sean C Anderson  Andrew B Cooper  Olaf P Jensen  Cóilín Minto  James T Thorson  Jessica C Walsh  Jamie Afflerbach  Mark Dickey‐Collas  Kristin M Kleisner  Catherine Longo  Giacomo Chato Osio  Daniel Ovando  Iago Mosqueira  Andrew A Rosenberg  Elizabeth R Selig
Affiliation:1. School of Resource and Environmental Management, Simon Fraser University, Burnaby, BC, Canada;2. Institute of Marine & Coastal Sciences, Rutgers University, New Brunswick, NJ, USA;3. Marine and Freshwater Research Centre, Galway‐Mayo Institute of Technology, Galway, Ireland;4. Fisheries Resource Analysis and Monitoring Division, Northwest Fisheries Science Center, National Marine Fisheries Service, National Oceanographic and Atmospheric Administration, Seattle, WA, USA;5. National Center for Ecological Analysis and Synthesis, University of California Santa Barbara, Santa Barbara, CA, USA;6. International Council for the Exploration of the Sea, Copenhagen, Denmark;7. DTU Aqua National Institute of Aquatic Resources, Technical University of Denmark (DTU), Charlottenlund, Denmark;8. Ecosystem Assessment Program, Northeast Fisheries Science Center, National Marine Fisheries Service, National Oceanographic and Atmospheric Administration, Woods Hole, MA, USA;9. Marine Stewarship Council, London, UK;10. Unit D.02 Water and Marine Resources, Directorate D – Sustainable Resources, DG Joint Research Centre, European Commission, Ispra, Italy;11. Bren School of Environmental Science and Management, University of California Santa Barbara, Santa Barbara, CA, USA;12. Union of Concerned Scientists, Cambridge, MA, USA;13. Conservation International, Arlington, VA, USA
Abstract:Fishery managers must often reconcile conflicting estimates of population status and trend. Superensemble models, commonly used in climate and weather forecasting, may provide an effective solution. This approach uses predictions from multiple models as covariates in an additional “superensemble” model fitted to known data. We evaluated the potential for ensemble averages and superensemble models (ensemble methods) to improve estimates of population status and trend for fisheries. We fit four widely applicable data‐limited models that estimate stock biomass relative to equilibrium biomass at maximum sustainable yield (B/BMSY). We combined these estimates of recent fishery status and trends in B/BMSY with four ensemble methods: an ensemble average and three superensembles (a linear model, a random forest and a boosted regression tree). We trained our superensembles on 5,760 simulated stocks and tested them with cross‐validation and against a global database of 249 stock assessments. Ensemble methods substantially improved estimates of population status and trend. Random forest and boosted regression trees performed the best at estimating population status: inaccuracy (median absolute proportional error) decreased from 0.42 – 0.56 to 0.32 – 0.33, rank‐order correlation between predicted and true status improved from 0.02 – 0.32 to 0.44 – 0.48 and bias (median proportional error) declined from ?0.22 – 0.31 to ?0.12 – 0.03. We found similar improvements when predicting trend and when applying the simulation‐trained superensembles to catch data for global fish stocks. Superensembles can optimally leverage multiple model predictions; however, they must be tested, formed from a diverse set of accurate models and built on a data set representative of the populations to which they are applied.
Keywords:   CMSY     data‐limited fisheries  ensemble methods  multimodel averaging  population dynamics  sustainable resource management
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