Economics of spatial-dynamic processes.

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(1) See, for example, incidence pattern data, charts and maps on the U.S. Department of Human Health, Center for Disease Control and Prevention website at http://www.cdc.gov/flu/weekly/ fluactivity.htm.

(2) Several interesting animations of diffusion-with-advection processes in 2D are given at the MIT freeware engineering course site at http://web.mit.edu/1.061/www/dream/FIVE/ch5movie.avi.

(3) Interesting animations of spatial-dynamic processes in disease transmission may be found on various websites. The paper by Keeling et al. 2001 on the outbreak of foot and mouth disease in England has an animation of the spatial-dynamics in a set of supplementary materials found at http://www.sciencemag.org/content/vol0/ issue2001/images/data/1065973/DC1/FMD_UK_Movie.gif. Another illustrative animation on rabies control in Switzerland can be found at http://www.ivv.unibe.ch/Swiss_Rabies_Center/Visualisation/ visualisation.htm.

(4) The process could be driven by a reaction-diffusion equation, with a velocity determined by the wave front velocity conjectured by Kolmogorov.

(5) It is not identical, because now A is assumed to have a finite property boundary on the right-hand side. This changes A's problem because he now must account for what occurs after the invasion either passes through the boundary, or is contained or eradicated within his property boundaries.

Fellows Address.

James E. Wilen is Director of the Center for Natural Resource Policy Analysis and Professor in the Department of Agricultural and Resource Economics at the University of California, Davis and a member of the Giannini Foundation.

This Fellows Address was presented at the annual meeting of the American Agricultural Economics Association, Portland, Oregon, July 2007. Invited addresses are not subjected to the journal's standard refereeing process.