Functional longitudinal modelling: applying functional data techniques in forest biometry and capture-recapture experiments
by Steve Lane
Abstract: As the amount of data captured in experimental and observational situations has grown, so too has the need for more sophisticated tools of analysis. The broad area of functional data analysis (FDA) has received a great deal of attention within the statistics community over the past decade, as a way of dealing with the high dimensional data that is becoming more commonplace in areas such as medical science and biology.
The first half of the seminar will detail the modelling of longitudinal functional responses, conditional on a functional predictor. I will demonstrate the application of the model to predicting diameter distributions of \(Eucalyptus\) \(globulus\) from basal area growth functions. In the second half, I will describe an EM algorithm for capture-recapture experiments where individuals are associated with time-varying covariates. The E-step of the algorithm is used to predict an individual's functional covariate, for all capture periods. I will demonstrate the approach for estimating the population size of Mountain Pygmy Possums on Mount Hotham.
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