Statistics
Department of Mathematics & Statistics
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Professor Richard Barker

Office: Science III, room 233
Phone: 479-7756
Email: rbarker@maths.otago.ac.nz

** Chair of Statistics **

Research Interests and student opportunities.

My recent research and those of current an recently completed graduate students include:

  • Bayesian inference for hierarchical models
  • Statistical theory, methods and analysis for applications in
  • Fisheries and wildlife ecology
  • Sport science and exercise physiology
  • Climate change
  • Theory and analysis of mark-recapture and radio-telemetry data

Current PhD and post-doc opportunities

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BUGS code for mark-recapture models

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Recent Publications

  • Bellingham, P. J., Richardson, S. J., Mason, N. W. H., Veltman, C. J., Allen, R. B., Allen, W. J., Barker, R. J., … Ramsey, D. S. L. (2016). Introduced deer at low densities do not inhibit the regeneration of a dominant tree. Forest Ecology & Management, 364, 70-76. doi: 10.1016/j.foreco.2015.12.013
  • Barker, R. J., & Link, W. A. (2015). Truth, models, model sets, AIC, and multimodel inference: A Bayesian perspective. Journal of Wildlife Management, 79(5), 730-738. doi: 10.1002/jwmg.890
  • Schofield, M. R., Barker, R. J., Gelman, A., Cook, E. R., & Briffa, K. R. (2015). A model-based approach to climate reconstruction using tree-ring data. Journal of the American Statistical Association. Advance online publication. doi: 10.1080/01621459.2015.1110524
  • Barker, R. J., Forsyth, D. M., & Wood, M. (2014). Modeling sighting heterogeneity and abundance in spatially replicated multiple-observer surveys. Journal of Wildlife Management, 78(4), 701-708. doi: 10.1002/jwmg.694
  • Barker, R. J., Schofield, M. R., Wright, J. A., Frantz, A. C., & Stevens, C. (2014). Closed-population capture—recapture modeling of samples drawn one at a time. Biometrics, 70(4), 775-782. doi: 10.1111/biom.12241
  • Bird, T., Lyon, J., Nicol, S., McCarthy, M., & Barker, R. (2014). Estimating population size in the presence of temporary migration using a joint analysis of telemetry and capture recapture data. Methods in Ecology & Evolution, 5(7), 615-625. doi: 10.1111/2041-210X.12202
  • Schofield, M. R., & Barker, R. J. (2014). Hierarchical modeling of abundance in closed population capture—recapture models under heterogeneity. Environmental & Ecological Statistics, 21(3), 435-451. doi: 10.1007/s10651-013-0262-3
  • Francis, C. M., Barker, R. J., & Cooch, E. G. (2014). Modelling demographic processes in marked populations: Proceedings of the EURING 2013 analytical meeting Introduction. Methods in Ecology & Evolution, 5(12), 1265-1268. doi: 10.1111/2041-210X.12300
  • Barker, R. J., & Link, W. A. (2013). Bayesian multimodel inference by RJMCMC: A Gibbs Sampling Approach. American Statistician, 67(3), 150-156. doi: 10.1080/00031305.2013.791644
  • Forsyth, D. M., Ramsey, D. S. L., Veltman, C. J., Allen, R. B., Allen, W. J., Barker, R. J., … Todd, C. R. (2013). When deer must die: Large uncertainty surrounds changes in deer abundance achieved by helicopter- and ground-based hunting in New Zealand forests. Wildlife Research, 40(6), 447-458. doi: 10.1071/WR13016
  • Kendall, W. L., Barker, R. J., White, G. C., Lindberg, M. S., Langtimm, C. A., & Peñaloza, C. L. (2013). Combining dead recovery, auxiliary observations and robust design data to estimate demographic parameters from marked individuals. Methods in Ecology & Evolution, 4(9), 828-835. doi: 10.1111/2041-210X.12077
  • Schofield, M. R., Barker, R. J., & Taylor, P. (2013). Modeling individual specific fish length from capture—recapture data using the von Bertalanffy growth curve. Biometrics, 69(4), 1012-1021. doi: 10.1111/biom.12069
  • Gormley, A. M., Slooten, E., Dawson, S., Barker, R. J., Rayment, W., du Fresne, S., & Bräger, S. (2013). First evidence of that marine protected areas can work for marine mammals: Hector's dolphins and the Banks Peninsula Marine Mammal Sanctuary. Proceedings of the 20th Biennial Conference on the Biology of Marine Mammals. (pp. 84). Retrieved from http://www.marinemammalscience.org/
  • Gormley, A. M., Slooten, E., Dawson, S., Barker, R. J., Rayment, W., du Fresne, S., & Bräger, S. (2012). First evidence that marine protected areas can work for marine mammals. Journal of Applied Ecology, 49(2), 474-480. doi: 10.1111/j.1365-2664.2012.02121.x
  • Lyon, J. P., Todd, C., Nicol, S. J., MacDonald, A., Stoessel, D., Ingram, B. A., Barker, R. J., & Bradshaw, C. J. A. (2012). Reintroduction success of threatened Australian trout cod (Maccullochella macquariensis) based on growth and reproduction. Marine & Freshwater Research, 63(7), 598-605. doi: 10.1071/mf12034
  • Ramsey, D. S. L., Forsyth, D. M., Veltman, C. J., Nicol, S. J., Todd, C. R., Allen, R. B., … Barker, R. J. (2012). An approximate Bayesian algorithm for training fuzzy cognitive map models of forest responses to deer control in a New Zealand adaptive management experiment. Ecological Modelling, 240, 93-104. doi: 10.1016/j.ecolmodel.2012.04.022
  • Button, C., Dicks, M., Haines, R., Barker, R., & Davids, K. (2011). Statistical modelling of gaze behaviour as categorical time series: What you should watch to save soccer penalties. Cognitive Processing, 12, 235-244. doi: 10.1007/s10339-010-0384-6
  • Schofield, M. R., & Barker, R. J. (2011). Full open population capture—recapture models with individual covariates. Journal of Agricultural, Biological, & Environmental Statistics, 16(2), 253-268. doi: 10.1007/s13253-010-0052-4
  • Barker, R. J., & Link, W. (2011). Posterior model probabilities computed from model-specific Gibbs output. arXiv. Retrieved from http://arxiv.org/abs/1012.0073
  • Link, W. A., & Barker, R. J. (2010). Bayesian inference with ecological applications. London, UK: Academic Press, 339p.
  • Barker, R., & Wright, J. (2010, December). Genotype uncertainty: Accounting for genotyping error in mark-recapture-type studies using low copy number DNA. Verbal presentation at the XXVth International Biometric Conference, Florianópolis, Brazil.
  • Schofield, M. R., & Barker, R. J. (2010). Data augmentation and reversible jump MCMC for multinomial index problems. arXiv. Retrieved from http://arxiv.org/abs/1009.3507
  • Barker, R. J., Schofield, M. R., Armstrong, D. P., & Davidson, R. S. (2009). Bayesian hierarchical models for inference about population growth. In D. L. Thomson, E. G. Cooch & M. J. Conroy (Eds.), Modeling demographic processes in marked populations. (pp. 3-17). New York: Springer. doi: 10.1007/978-0-387-78151-8
  • Jacobson, C., Allen, W., Veltman, C., Ramsey, D., Forsyth, D. M., Nicol, S., … Barker, R. (2009). Collaborative learning as part of adaptive management of forests affected by deer. In C. Allen & G. H. Stankey (Eds.), Adaptive environmental management: A practitioner's guide. (pp. 275-294). Dordrecht: Springer Science+Business Media B.V..
  • Link, W. A., & Barker, R. J. (2009). Bayes factors and multimodel inference. In D. L. Thomson, E. G. Cooch & M. J. Conroy (Eds.), Modeling demographic processes in marked populations. (pp. 595-615). New York: Springer. doi: 10.1007/978-0-387-78151-8
  • Schofield, M. R., & Barker, R. J. (2009). A further step toward the mother-of-all-models: Flexibility and functionality in the modeling of capture-recapture data. In D. L. Thomson, E. G. Cooch & M. J. Conroy (Eds.), Modeling demographic processes in marked populations. (pp. 677-689). New York: Springer. doi: 10.1007/978-0-387-78151-8
  • White, G. C., Burnham, K. P., & Barker, R. J. (2009). Evaluation of a Bayesian MCMC random effects inference methodology for capture-mark-recapture data. In D. L. Thomson, E. G. Cooch & M. J. Conroy (Eds.), Modeling demographic processes in marked populations. (pp. 1119-1127). New York: Springer. doi: 10.1007/978-0-387-78151-8
  • Lebreton, J.-D., Nichols, J. D., Barker, R. J., Pradel, R., & Spendelow, J. A. (2009). Modeling individual animal histories with multistate capture-recapture models. Advances in Ecological Research, 41(9), 87-173. doi: 10.1016/s0065-2504(09)00403-6
  • Schofield, M. R., Barker, R. J., & Mackenzie, D. I. (2009). Flexible hierarchical mark-recapture modeling for open populations using WinBUGS. Environmental & Ecological Statistics, 16(3), 369-387. doi: 10.1007/s10651-007-0069-1
  • Wright, J. A., Barker, R. J., Schofield, M. R., Frantz, A. C., Byrom, A. E., & Gleeson, D. M. (2009). Incorporating genotype uncertainty into mark-recapture-type models for estimating abundance using DNA samples. Biometrics, 65, 833-840. doi: 10.1111/j.1541-0420.2008.01165.x
  • Barker, R. (2008). Theory and application of mark-recapture and related techniques to aerial surveys of wildlife. Wildlife Research, 35(4), 268-274.
  • Barker, R. J., & Schofield, M. R. (2008). Classifying individuals as physiological responders using hierarchical modeling. Journal of Applied Physiology, 105(2), 555-560. doi: 10.1152/japplphysiol.01317.2007
  • Conroy, M. J., Barker, R. J., Dillingham, P. W., Fletcher, D., Gormley, A. M., & Westbrooke, I. M. (2008). Application of decision theory to conservation management: Recovery of Hector's dolphin. Wildlife Research, 35(2), 93-102. doi: 10.1071/WR07147
  • Conroy, M. J., Runge, J. P., Barker, R. J., Schofield, M. R., & Fonnesbeck, C. J. (2008). Efficient estimation of abundance for patchily distributed populations via two-phase, adaptive sampling. Ecology, 89(12), 3362-3370. doi: 10.1890/07-2145.1
  • Lake, S., Burton, H., Barker, R., & Hindell, M. (2008). Annual reproductive rates of Weddell seals in eastern Antarctica from 1973 to 2000. Marine Ecology Progress Series, 366, 259-270. doi: 10.3354/meps07502
  • Link, W. A., & Barker, R. J. (2008). Efficient implementation of the Metropolis-Hastings algorithm, with application to the Cormack-Jolly-Seber model. Environmental & Ecological Statistics, 15(1), 79-87. doi: 10.1007/s10651-007-0037-9
  • Schofield, M. R., & Barker, R. J. (2008). A unified capture—recapture framework. Journal of Agricultural, Biological, & Environmental Statistics, 13(4), 458-477. doi: 10.1198/108571108X383465
  • Barker, R. J., & Schofield, M. R. (2008). Inference about magnitudes of effects Invited commentary. International Journal of Sports Physiology & Performance, 3(4), 547-557.
  • Barker, R., van Koten, C., Closs, G., & Kristensen, E. A. (2008). Hierarchical modeling of trace-element signatures to determine animal movement. Proceedings of the New Zealand Statistical Association Conference. NZSA. Retrieved from http://www.stat.auckland.ac.nz/nzsa2008/
  • Cameron, C. M., Barker, R. J., Coppell, K., & Sharples, K. (2008). Open population capture-recapture models and diabetes in Otago, New Zealand. Proceedings of the XXIVth International Biometric Conference (IBC). Retrieved from http://ibc2008abstracts.tibs.org/authors_C.html
  • Barker, R., & Wright, J. (2008, July). Incorporating genotype uncertainty into mark-recapture-type models for estimating abundance using DNA samples. Verbal presentation at the International Statistical Ecology Conference, St Andrews, Scotland.
  • Conroy, M., Runge, J., Barker, R., Schofield, M., & Fonnesbeck, C. (2008, July). Estimation of abundance for patchily distributed populations via 2-stage, adaptive sampling. Verbal presentation at the International Statistical Ecology Conference, St Andrews, Scotland.
  • Barker, R. J., & Schofield, M. R. (2007). Putting Markov chains back into Markov chain Monte Carlo. Journal of Applied Mathematics & Decision Sciences, 2007(1), 1-13.
  • Forsyth, D. M., Barker, R. J., Morriss, G., & Scroggie, M. P. (2007). Modeling the relationship between fecal pellet indices and deer density. Journal of Wildlife Management, 71(3), 964-970.
  • Nicol, S. J., Barker, R. J., Koehn, J. D., & Burgman, M. A. (2007). Structural habitat selection by the critically endangered trout cod, Maccullochella macquariensis, Cuvier. Biological Conservation, 138, 30-37.
  • Schofield, M. R., & Barker, R. J. (2007). Climate reconstruction. Proceedings of the New Zealand Statistical Association Annual Conference. NZSA. Retrieved from http://www.math.canterbury.ac.nz/nzsa2007/presentations.shtml
  • Link, W. A., & Barker, R. J. (2006). Model weights and the foundations of multimodel inference. Ecology, 87(10), 2626-2635.
  • McCartney, J., Armstrong, D. P., Gwynne, D. T., Kelly, C. D., & Barker, R. J. (2006). Estimating abundance, age structure and sex ratio of a recently discovered New Zealand tusked weta Motuweta riparia (Orthoptera, Anostostomatidae), using mark-recapture analysis. New Zealand Journal of Ecology, 30(2), 229-235.
  • White, G. C., Kendall, W. L., & Barker, R. J. (2006). Multistate survival models and their extensions in program MARK. Journal of Wildlife Management, 70(6), 1521-1529.
  • Barker, R. J. (2005). Joint modeling of tag-recovery and live-resighting data. In S. C. Amstrup, T. L. McDonald & B. F. J. Manly (Eds.), Handbook of capture - recapture analysis. (pp. 142-164). Princeton, NJ, USA: Princeton University Press.