A spatial zero-inflated poisson regression model for oak regeneration

Environmental and Ecological Statistics

Volumn 13, Issue 4, 2006, Pages 409-426

  Rathbun, Stephen L ^a   Fei, Songlin ^b  

^a UNIVERSITY OF GEORGIA   (United States)

^b UNIVERSITY OF KENTUCKY   (United States)

Author keywords

Bayesian hierarchical spatial Model; MCMC algorithm; Spatial probit model

Indexed keywords

ALGORITHM; REGENERATION; REGRESSION ANALYSIS; REMOTE SENSING; SPATIAL ANALYSIS; SPECIES DIVERSITY; TREE;

EID: 33750587831     PISSN: 13528505     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10651-006-0020-x     Document Type: Article

References (41)

1. M Abramowitz IA Stegun 1965 Handbook of mathematical functions Dover New York
2. DK Agarwal AE Gelfand S Citron-Pousty 2002 Zero-inflated models with application to spatial count data Environ Ecol Stat 9 341-355 10.1023/ A:1020910605990
3. JR Ashford RR Sowden 1970 Multivariate probit analysis Biometrics 26 535-546 5480663 1:STN:280:CS6D3srlsFI%3D 10.2307/2529107
4. Best NG, Cowles MK, Vines SK (1995) CODA Manual version 0.30. MRC Biostatistics Unit, UK
5. GEP Box ME Muller 1958 A note on the generation of random normal deviates Ann. Math. Stat 29 610-611
6. WJ Browne D Draper H Goldstein J Rasbash 2002 Bayesian and likelihood methods for fitting multilevel models with complex level-1 variation Compu Stat Data Anal 39 203-225 10.1016/S0167-9473(01)00058-5
7. Carlin BP, Louis TA (2000) Bayes and empirical bayes methods for data analysis. Chapman and Hall, Boca Raton, FL
8. S Chib E Greenberg 1998 Analysis of multivariate probit models Biometrika 85 347-361 10.1093/biomet/85.2.347
9. R Christensen W Johnson LM Pearson 1992 Prediction diagnostics for spatial linear models Biometrika 79 583-591 10.2307/2336789
10. N Cressie 2001 Statistics for spatial data Wiley New York
11. TR Crow 1988 Reproduction mode and mechanisms for self-replacement of northern red oak (Quercus rubra) - a review Forest Sci 34 19-40
12. V De Oliveira 2000 Bayesian prediction of clipped Gaussian random fields Comput Stat Data Anal 34 99-314 10.1016/S0167-9473(99)00103-6
13. PJ Diggle JA Tawn RA Moyeed 1998 Model-based geostatistics Appl Stat 47 299-350
14. A Gelman GO Roberts WR Gilks 1996 Efficient Metropolis jumping rules JM Bernardo JO Berger AP Dawid AFM mith Bayesian statistics 5 Oxford University Press Oxford 599-607
15. WR Gilks S Richardson DJ Spiegelhalter 1996 Markov Chain Monte Carlo in Practice Chapman and Hall London
16. CA Gotway WW Stroup 1997 A generalized linear model approach to spatial data analysis and prediction J Agric Biol Environ Stat 2 157-178 10.2307/ 1400401
17. CA Gotway RD Wolfinger 2003 Spatial prediction of counts and rates Stat. Med 22 1415-1432 12704606 10.1002/sim.1523
18. DB Hall 2000 Zero-inflated Poisson and binomial regression with random effects: A case study Biometrics 56 1030-1039 11129458 1:STN:280:DC%2BD3M7it1Cnsg%3D%3D 10.1111/j.0006-341X.2000.01030.x
19. PJ Heagerty SR Lele 1998 A composite likelihood approach to binary spatial data J Am Stat Assoc 93 1099-1111 10.2307/2669853
20. P Heidelberger PD Welch 1983 Simulation run length control in the presence of an initial transient Oper Res 31 1109-1144
21. RE Kass BP Carlin A Gelman R Neal 1998 Markov chain Monte Carlo in practice: A roundtable discussion Am Stat 52 93-100 10.2307/2685466
22. D Lambert 1992 Zero-inflated Poisson regression, with an application to defects in manufacturing Technometrics 34 1-14 10.2307/1269547
23. JR Leathwick MP Austin 2001 Competitive interactions between tree species in New Zealand's old-growth indigenous forests Ecology 82 2560-2573 10.2307/2679936
24. Lorimer CG (1992) Causes of the oak regeneration problem. In: Loftis D, McGee Ce (eds) Oak regeneration: Serious problems, practical recommendations. USDA Forest Service, Southeastern Forest Experiment Station. General Technical Report SE-84
25. G Marsaglia 1964 Generating a variable from the tail of the normal distribution Technometrics 6 101-102 10.2307/1266749
26. Matern B (1960) Spatial variation. Meddelanden fran Statens Skogsforskningsinstitut, 49, No. 5. Alamaenna Foerlaget, Stokholm.
27. McQuilkin R (1990) In: Silvics in North America. USDA Forest Service. Agriculture handbook, Vol 654, pp 605-613
28. MF O'Neill MJ Faddy 2003 Use of binary and truncated negative binomial modelling in the analysis of recreational catch data Fish Res 60 471-477 10.1016/S0165-7836(02)00101-7
29. GO Roberts AFM Smith 1993 Simple conditions for the convergence of the Gibbs sampler and Metropolis-Hastings algorithms Stoch Process Appl 49 207-216 10.1016/0304-4149(94)90134-1
30. R Rogers 1990 In: Silvics in North America USDA Forest Service. Agriculture handbook 654 605-613
31. LW Schruben 1982 Detecting intialization bias in simulation experiments Oper Res 30 569-590
32. V Shelford 1913 Animal communities in temperate America University of Chicago Press Chicago
33. ML Stein 1999 Interpolation of spatial data Springer New York
34. IS Weir AN Pettitt 1999 Spatial modelling for binary data using a hidden conditional autoregressive Gaussian process: A multivariate extension of the probit model Stat Comput 9 77-86 10.1023/A:1008822429149
35. IS Weir AN Pettitt 2000 Binary probability maps using a hidden conditional autoregressive Gaussian process with an application to Finnish common toad data Appl Stat 49 473-484
36. AH Welsh RD Cunningham CF Donelly DB Lindenmayer 1996 Modelling the abundance of a rare species: Statistical modes for counts with extra zeros Ecol Model 88 297-308 10.1016/0304-3800(95)00113-1
37. AH Welsh RD Cunningham RL Chambers 2000 Methodology for estimating the abundance of rare animals: Seabird nesting on North East Herald Cay Biometrics 56 22-30 10783773 1:STN:280:DC%2BD3c3ks1ajsQ%3D%3D 10.1111/ j.0006-341X.2000.00022.x
38. MW Iersel Van RD Oetting DB Hall 2000 Imidacloprid applications by subirrigation for control of silverleaf whitefly (Homoptera: Aleyrodidae) on poinsettia J Econ Entomol 93 813-819 10902335
39. MW Iersel Van RD Oetting DB Hall JG Kang 2001 Application technique and irrigation method affect imidacloprid control of silverleaf whiteflies (Homoptera: Aleyrodidae) on poinsettias J Econ Entomol 94 666-672 11425021
40. AMC Vieira JP Hinde CGB Demetrio 2000 Zero-inflated proportion data models applied to a biological control assay J Appl Stat 27 373-389 10.1080/02664760021673
41. A Zellner 1986 On assessing prior distributions and Bayesian regression analysis with g-prior distributions P Goel A Zellner bayesian inference and decision techniques: Essays in honor of Bruno de Finetti North Holland Publishing Company New York 233-243