Model-building with interpolated temporal data

Abstract Ecological data can be difficult to collect, and as a result, some important temporal ecological datasets contain irregularly sampled data. Since many temporal modelling techniques require regularly spaced data, one common approach is to linearly interpolate the data, and build a model from the interpolated data. However, this process introduces an unquantified risk that the data is over-fitted to the interpolated (and hence more typical) instances. Using one such irregularly-sampled dataset, the Lake Kasumigaura algal dataset, we compare models built on the original sample data, and on the interpolated data, to evaluate the risk of mis-fitting based on the interpolated data.

[1]  D. Krige A statistical approach to some basic mine valuation problems on the Witwatersrand, by D.G. Krige, published in the Journal, December 1951 : introduction by the author , 1951 .

[2]  Friedrich Recknagel,et al.  Modelling and prediction of phyto‐ and zooplankton dynamics in Lake Kasumigaura by artificial neural networks , 1998 .

[3]  Peter A. Whigham,et al.  Induction of a marsupial density model using genetic programming and spatial relationships , 2000 .

[4]  George E. P. Box,et al.  Time Series Analysis: Forecasting and Control , 1977 .

[5]  John A. Rice,et al.  FUNCTIONAL AND LONGITUDINAL DATA ANALYSIS: PERSPECTIVES ON SMOOTHING , 2004 .

[6]  R. I. McKaySchool BUILDING ECOLOGICAL MODELS USING GENETIC PROGRAMMING , 2007 .

[7]  John R. Koza,et al.  Genetic programming - on the programming of computers by means of natural selection , 1993, Complex adaptive systems.

[8]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[9]  Nichael Lynn Cramer,et al.  A Representation for the Adaptive Generation of Simple Sequential Programs , 1985, ICGA.

[10]  Peter A. Whigham,et al.  Predictive modelling of plankton dynamics in freshwater lakes using genetic programming , 1999 .

[11]  Peter A. Whigham,et al.  Grammatically-based Genetic Programming , 1995 .

[12]  Michael McAleer,et al.  Proceedings of the International Congress on Modelling and Simulation , 1995 .

[13]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1971 .