Stat 534 - Graphs and pictures

Week 10 - population modeling

• Plots for grizzly bear analysis
• Comparison of pure meas. error and pure process error models
• Illustrations of linear state space models
• Scaup density dependent
• Density dependence models

Week 9 - population modeling

• Island sparrow population through time

Week 6 - open population models

• Photos of George Seber and Richard Cormack on the 50'th anniversary of Cormack-Jolly-Seber (2014/5)

Week 4 - Estimating number of individuals

• Gamma and diGamma functions
• profile1.pdf LnL for moist woodland oaks
• profile1b.pdf LnL showing likelihood ci
• Redpoll data: likelihood for (N, p)
• Redpoll data: profile likelihood for N and for log N
• Redpoll data: profile likelihood and asymptotic ci's

Week 3 - Residuals and Species composition

• Deviance and quantile residuals for correct model, wrong distribution, and wrong mean function
• Andrews forest basal area, selected species, 2004
• Tweedie distributions

Week 2 - numerical maximization of likelihood

• Plots of 2D log likelihood for Neg Bin with BFGS path
• Plots of 2D log likelihood for Neg Bin with Nelder-Mead and BFGS/log path
• Plot of 1D log likelihood for r given mean = 16.4
• Residuals from Poisson regression with large mean counts
• Residuals from Poisson regression with small mean counts
• PIT residuals from Poisson regression with large and small mean counts

Week 1 - likelihood and species composition analysis

• Skokholm Island, Wales
• Skokholm data table
• Northern lapwing
• Gamma function
• Poisson Overdispersion
• Probabilities for Poisson and Negative Binomial distributions
• Poisson likelihood function