Detecting evolution in experimental ecology: Diagnostics for missing state variables
Giles Hooker · Dec 9, 2011
Date: 2011-12-09 Time: 15:30-16:30 Location: UQAM Salle 5115 Abstract: This talk considers goodness of fit diagnostics for time-series data from processes approximately modeled by systems of nonlinear ordinary differential equations. In particular, we seek to determine three nested causes of lack of fit: (i) unmodeled stochastic forcing, (ii) mis-specified functional forms and (iii) mis-specified state variables. Testing lack of fit in differential equations is challenging since the model is expressed in terms of rates of change of the measured variables.