19 Day 19 (April 6)

19.1 Announcements

  • In the past few lectures we have covered topics from spatial statistics (STAT 903) and time series (STAT 880).
    • Natural progression is to spatio-temporal statistics (STAT 764).
  • After that
    • Data fusion
    • Occupancy models
    • Model selection
    • Anything else?

19.2 Time series

  • Read Ch. 16 and Ch. 28 What is a time series?
    • One damned thing after another (maybe Fisher)
    • Spatio-temporal data collected at a single point in space over multiple time points
    • Spatio-temporal data aggregated over space
    • Any data set/model that has dependence in residual errors over time
  • Phenomenological vs. mechanistic models
    • Population growth example of whooping cranes
  • Example: human movement in continuous time
    • Phenomenological vs. mechanistic models for human movement
    • Explore ideas for model building of human movement
      • Correlated random walk
      • Differential equations
      • Polynomial regression
      • Multivariate time series
    • Download example here

19.3 Spatio-temporal

  • See Ch. 28 in BBM2L
  • Example: White-nose syndrome in bats