Linear Modelling

Bayesian Methods for Ecological and Environmental Modelling

Peter Levy
UKCEH Edinburgh

Review

Different kinds of systems & models

  • stable, periodic, chaotic, complex
  • empirical, statistical, machine learning, process-based

Linear models

  • simplest type of model
  • parameters can be estimated from data using MCMC
  • very easy with rstanarm
  • informative priors can be specified

Tomorrow

Model selection & comparison

  • which \(x\) variables to include?
  • what form of model \(f\) to use?
  • which model is better?

Tomorrow

Hierarchical modelling

  • samples not independent but grouped
    • e.g. species, sites, dates, methods, …
  • groups can be nested
    • regions | sites | plots
    • family | genus | species

Questions?