Does model-free forecasting really outperform the true model?

Estimating population models from uncertain observations is an important problem in ecology. Perretti et al. observed that standard Bayesian state–space solutions to this problem may provide biased parameter estimates when the underlying dynamics are chaotic (1). Consequently, forecasts based on these estimates showed poor predictive accuracy compared with simple “model-free” methods, which lead Perretti et al. to conclude that “Model-free forecasting outperforms the correct mechanistic model for simulated and experimental data.” However, a simple modification of the statistical methods also suffices to remove the bias and reverse their results.

[1]  George Sugihara,et al.  Model-free forecasting outperforms the correct mechanistic model for simulated and experimental data , 2013, Proceedings of the National Academy of Sciences.

[2]  Kevin Judd,et al.  Failure of maximum likelihood methods for chaotic dynamical systems. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  D Sornette,et al.  Statistical methods of parameter estimation for deterministically chaotic time series. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Andreas Huth,et al.  Statistical inference for stochastic simulation models--theory and application. , 2011, Ecology letters.

[5]  S. Wood Statistical inference for noisy nonlinear ecological dynamic systems , 2010, Nature.