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Dirichlet Process Prior in a Catch-Effort Hierarchical Model for Animal Abundance Carleton College Prasit Dhakal Jun Young Park.

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Presentation on theme: "Dirichlet Process Prior in a Catch-Effort Hierarchical Model for Animal Abundance Carleton College Prasit Dhakal Jun Young Park."— Presentation transcript:

1 Dirichlet Process Prior in a Catch-Effort Hierarchical Model for Animal Abundance Carleton College Prasit Dhakal Jun Young Park

2 TPA (Turkey Permit Areas)

3 (1) Assume that the population of the wild turkey in region i is N i and the number of wild turkeys harvested in region i in period j is y ij. (2)p ij is the removal probability of region i in period j, then the probability that an animal is removed during, but not before period j, is equal to Previous Model

4

5 What is Dirichlet Process Prior?

6 Different alphas α = 2.8α = 10 ϕ i ’s No. of unique ϕ i ’s = 8No. of unique ϕ i ’s = 29

7 Neal Function STEP 1) Updating Clustering

8 Neal Function

9

10 Results ParameterMeanSD2.5thMedian97.5th -0.2950.093-0.477-0.293-0.114 0.6020.0690.4810.5970.742 ParameterMeanSD2.5thMedian97.5th -0.3040.128-0.559-0.302-0.059 0.6130.0980.4510.6050.833 K51.54113.364225372 Model without DPP Model with DPP


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