Closing the Gap between Risk Estimation and Decision Making: Efficient Management of Trade-Related Invasive Species Risk

This paper examines the implications of a binary action, binary outcome decision problem for estimating risk. We use data on the invasiveness of biological imports to develop the first comparison of two classical methods—maximum likelihood and Bayesian—against a third, the recently developed maximum utility (MU) approach. MU estimation uniquely takes advantage of the structure of the decision problem, which depends on a local rather than global fit to the model. Extending methods to account for an endogenously stratified sample, we show that the MU approach is less sensitive to specification error and can offer significant economic gains under model uncertainty.

[1]  Reuben P. Keller,et al.  Closing the Screen Door to New Invasions , 2014 .

[2]  Robert P. Lieli,et al.  Predicting Binary Outcomes , 2013 .

[3]  R. Tibshirani,et al.  Improvements on Cross-Validation: The 632+ Bootstrap Method , 1997 .

[4]  Halbert White,et al.  The construction of empirical credit scoring rules based on maximization principles , 2010 .

[5]  C. Granger,et al.  Economic and Statistical Measures of Forecast Accuracy , 1999 .

[6]  R. P. Randall,et al.  Plant introductions in Australia: how can we resolve 'weedy' conflicts of interest? , 2004 .

[7]  William L. Goffe,et al.  SIMANN: FORTRAN module to perform Global Optimization of Statistical Functions with Simulated Annealing , 1992 .

[8]  Giovanni Parmigiani,et al.  Modeling in Medical Decision Making: A Bayesian Approach , 2002 .

[9]  Garry R. Griffith,et al.  The economic impact of weeds in Australia. , 2004 .

[10]  P. White,et al.  Horticulture as a Pathway of Invasive Plant Introductions in the United States , 2001 .

[11]  Richard J. Hobbs,et al.  Deliberate Introductions of Species: Research Needs Benefits can be reaped, but risks are high , 1999 .

[12]  G. Hughes,et al.  Evaluating predictive models with application in regulatory policy for invasive weeds , 2003 .

[13]  C. Manski MAXIMUM SCORE ESTIMATION OF THE STOCHASTIC UTILITY MODEL OF CHOICE , 1975 .

[14]  Dennis L. Hoffman,et al.  An econometric analysis of the bank credit scoring problem , 1989 .

[15]  E. Jaynes Probability theory : the logic of science , 2003 .

[16]  J. Berger Statistical Decision Theory and Bayesian Analysis , 1988 .

[17]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[18]  M. Enserink Biological Invaders Sweep In , 1999, Science.

[19]  Edward R. Dougherty,et al.  Is cross-validation valid for small-sample microarray classification? , 2004, Bioinform..

[20]  George Woodworth Modeling in Medical Decision Making: A Bayesian Approach , 2007 .

[21]  Sandro Ridella,et al.  Minimizing multimodal functions of continuous variables with the “simulated annealing” algorithmCorrigenda for this article is available here , 1987, TOMS.

[22]  B. Efron Estimating the Error Rate of a Prediction Rule: Improvement on Cross-Validation , 1983 .

[23]  Michael R. Springborn,et al.  The value of nonindigenous species risk assessment in international trade , 2011 .

[24]  C. Manski Semiparametric analysis of discrete response: Asymptotic properties of the maximum score estimator , 1985 .

[25]  Gary King,et al.  Logistic Regression in Rare Events Data , 2001, Political Analysis.

[26]  W. M. Lonsdale,et al.  Quantifying uncertainty in predictions of invasiveness, with emphasis on weed risk assessment , 2007, Biological Invasions.

[27]  D. Rubin,et al.  Inference from Iterative Simulation Using Multiple Sequences , 1992 .

[28]  E. Barbier,et al.  Importing exotic plants and the risk of invasion: are market-based instruments adequate? , 2005 .

[29]  M. Hashem Pesaran,et al.  Decision‐Based Methods for Forecast Evaluation , 2007 .

[30]  Liu Yang,et al.  Forecasting Binary Outcomes , 2012 .

[31]  S. Cosslett,et al.  1 Estimation from endogenously stratified samples , 1993 .

[32]  Lars J. Olson The search for a safe environment: The economics of screening and regulating environmental hazards , 1990 .

[33]  Steven R. Lerman,et al.  The Estimation of Choice Probabilities from Choice Based Samples , 1977 .

[34]  Tony Lancaster,et al.  Efficient estimation and stratified sampling , 1996 .

[35]  P. Pheloung,et al.  Determining the weed potential of new plant introductions to Australia , 1995 .

[36]  Roger Koenker,et al.  Parametric links for binary choice models: A Fisherian-Bayesian colloquy , 2009 .

[37]  D. Pimentel,et al.  Update on the environmental and economic costs associated with alien-invasive species in the United States , 2005 .

[38]  P. Pheloung,et al.  A weed risk assessment model for use as a biosecurity tool evaluating plant introductions , 1999 .

[39]  C. Kolar,et al.  Progress in invasion biology: predicting invaders. , 2001, Trends in ecology & evolution.

[40]  Reuben P Keller,et al.  Risk assessment for invasive species produces net bioeconomic benefits , 2007, Proceedings of the National Academy of Sciences.

[41]  Annette M. Molinaro,et al.  Prediction error estimation: a comparison of resampling methods , 2005, Bioinform..