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(BCM (UWA), BScHons (Massey), PhD (Massey))Tilman Davies(2022)

Senior Lecturer
Director of Studies for 100-level Statistics
Pacific Island Liaison

Office: Science III, room 222
Tel +64 3 479 7772
Email tilman.davies@otago.ac.nz

About

Originally from Perth, Western Australia, I completed my doctoral degree at Massey University in 2011 before joining Otago. I've spent time living and working overseas, including stints in Denmark and the United States. My research has been supported by Marsden Fund grants and involves collaborators in industry and academia both here in New Zealand and internationally. I am the author of The Book of R, which I use for an introductory R workshop here at Otago.

For further details, please visit my personal website

Teaching responsibilities

My teaching responsibilities include:

Research Interests

I'm primarily interested in the smoothing and applied modelling of planar point patterns in space and space-time. Recent collaborations have also piqued an interest in developing Bayesian models for spatially varying phenomena.

My areas of research include:

  • Kernel smoothing and density-ratios
  • Computational statistics, R programming
  • Planar point patterns, spatial statistics, geostatistics
  • Applications in geographical epidemiology and biology

If you have a strong academic record and are interested in working with me as a postgraduate student on topics related to the above, get in touch.

Publications

Macdonald, B. J., Davies, T. M., & Hazelton, M. L. (2023). Feasibility of Monte-Carlo maximum likelihood for fitting spatial log-Gaussian Cox processes. Spatial Statistics. Advance online publication. doi: 10.1016/j.spasta.2023.100759
Journal - Research Article
Redmond, A. K., Davies, T. M., Schofield, M. R., & Sheard, P. W. (2023). New tools for the investigation of muscle fiber-type spatial distributions across histological sections. Skeletal Muscle, 13, 7. doi: 10.1186/s13395-023-00316-0
Journal - Research Article
Davies, T. M., Banerjee, S., Martin, A. P., & Turnbull, R. E. (2022). A nearest-neighbour Gaussian process spatial factor model for censored, multi-depth geochemical data. Journal of the Royal Statistical Society: Series C, 71, 1014-1043. doi: 10.1111/rssc.12565
Journal - Research Article
Baddeley, A., Davies, T. M., Hazelton, M. L., Rakshit, S., & Turner, R. (2022). Fundamental problems in fitting spatial cluster process models. Spatial Statistics, 52, 100709. doi: 10.1016/j.spasta.2022.100709
Journal - Research Article
Crump, J. A., & Davies, T. M. (2022). Towards equitable scheduling of global health teleconferences: A spatial exploration of the world's population and health by time zone. BMJ Open, 12, e056696. doi: 10.1136/bmjopen-2021-056696
Journal - Research Article
Macdonald, B. J., Davies, T. M., & Hazelton, M. L. (2023). Feasibility of Monte-Carlo maximum likelihood for fitting spatial log-Gaussian Cox processes. Spatial Statistics. Advance online publication. doi: 10.1016/j.spasta.2023.100759
Journal - Research Article
Redmond, A. K., Davies, T. M., Schofield, M. R., & Sheard, P. W. (2023). New tools for the investigation of muscle fiber-type spatial distributions across histological sections. Skeletal Muscle, 13, 7. doi: 10.1186/s13395-023-00316-0
Journal - Research Article
Baddeley, A., Davies, T. M., Hazelton, M. L., Rakshit, S., & Turner, R. (2022). Fundamental problems in fitting spatial cluster process models. Spatial Statistics, 52, 100709. doi: 10.1016/j.spasta.2022.100709
Journal - Research Article
Baddeley, A., Davies, T. M., Rakshit, S., Nair, G., & McSwiggan, G. (2022). Diffusion smoothing for spatial point patterns. Statistical Science, 37(1), 123-142. doi: 10.1214/21-STS825
Journal - Research Article
Crump, J. A., & Davies, T. M. (2022). Towards equitable scheduling of global health teleconferences: A spatial exploration of the world's population and health by time zone. BMJ Open, 12, e056696. doi: 10.1136/bmjopen-2021-056696
Journal - Research Article
Davies, T. M., Banerjee, S., Martin, A. P., & Turnbull, R. E. (2022). A nearest-neighbour Gaussian process spatial factor model for censored, multi-depth geochemical data. Journal of the Royal Statistical Society: Series C, 71, 1014-1043. doi: 10.1111/rssc.12565
Journal - Research Article
Hazelton, M. L., & Davies, T. M. (2022). Pointwise comparison of two multivariate density functions. Scandinavian Journal of Statistics, 49, 1791-1810. doi: 10.1111/sjos.12565
Journal - Research Article
Baddeley, A., Nair, G., Rakshit, S., McSwiggan, G., & Davies, T. M. (2021). Analysing point patterns on networks: A review. Spatial Statistics, 42, 100435. doi: 10.1016/j.spasta.2020.100435
Journal - Research Article
Elson, R., Davies, T. M., Lake, I. R., Vivancos, R., Blomquist, P. B., Charlett, A., & Dabrera, G. (2021). The spatio-temporal distribution of COVID-19 infection in England between January and June 2020. Epidemiology & Infection, 149, e73. doi: 10.1017/s0950268821000534
Journal - Research Article
Elson, R., Davies, T. M., Jenkins, C., Vivancos, R., O'Brien, S. J., & Lake, I. R. (2020). Application of kernel smoothing to estimate the spatio-temporal variation in risk of STEC O157 in England. Spatial & Spatio-temporal Epidemiology, 32, 100305. doi: 10.1016/j.sste.2019.100305
Journal - Research Article
Davies, T. M., & Lawson, A. B. (2019). An evaluation of likelihood-based bandwidth selectors for spatial and spatiotemporal kernel estimates. Journal of Statistical Computation & Simulation, 89(7), 1131-1152. doi: 10.1080/00949655.2019.1575066
Journal - Research Article
Davies, T. M., Schofield, M. R., Cornwall, J., & Sheard, P. W. (2019). Modelling multilevel spatial behaviour in binary-mark muscle fibre configurations. Annals of Applied Statistics, 13(3), 1329-1347. doi: 10.1214/18-AOAS1214
Journal - Research Article
Rakshit, S., Davies, T., Moradi, M. M., McSwiggan, G., Nair, G., Mateu, J., & Baddeley, A. (2019). Fast kernel smoothing of point patterns on a large network using two-dimensional convolution. International Statistical Review, 87(3), 531-556. doi: 10.1111/insr.12327
Journal - Research Article
Davies, T. M., & Baddeley, A. (2018). Fast computation of spatially adaptive kernel estimates. Statistics & Computing, 28(4), 937-956. doi: 10.1007/s11222-017-9772-4
Journal - Research Article
Davies, T. M., Flynn, C. R., & Hazelton, M. L. (2018). On the utility of asymptotic bandwidth selectors for spatially adaptive kernel density estimation. Statistics & Probability Letters, 138, 75-81. doi: 10.1016/j.spl.2018.02.067
Journal - Research Article
Davies, T. M., Marshall, J. C., & Hazelton, M. L. (2018). Tutorial on kernel estimation of continuous spatial and spatiotemporal relative risk. Statistics in Medicine, 37(7), 1191-1221. doi: 10.1002/sim.7577
Journal - Research Article
Davies, T. M., Jones, K., & Hazelton, M. L. (2016). Symmetric adaptive smoothing regimens for estimation of the spatial relative risk function. Computational Statistics & Data Analysis, 101, 12-28. doi: 10.1016/j.csda.2016.02.008
Journal - Research Article
Farrell, S. F., Davies, T. M., & Cornwall, J. (2015). Use of clinical anatomy resources by musculoskeletal outpatient physiotherapists in Australian Public Hospitals: A cross-sectional study. Physiotherapy Canada, 67(3), 273-279. doi: 10.3138/ptc.2014-38E
Journal - Research Article
Fletcher, J. G. R., Stringer, M. D., Briggs, C. A., Davies, T. M., & Woodley, S. J. (2015). CT morphometry of adult thoracic intervertebral discs. European Spine Journal, 24(10), 2321-2329. doi: 10.1007/s00586-015-3925-y
Journal - Research Article
Smith, B. A., Davies, T. M., & Higham, C. F. W. (2015). Spatial and social variables in the Bronze Age Phase 4 cemetery of Ban Non Wat, Northeast Thailand. Journal of Archaeological Science: Reports, 4, 362-370. doi: 10.1016/j.jasrep.2015.10.003
Journal - Research Article
Taylor, B. M., Davies, T. M., Rowlingson, B. S., & Diggle, P. J. (2015). Bayesian inference and data augmentation schemes for spatial, spatiotemporal and multivariate log-Gaussian Cox processes in R. Journal of Statistical Software, 63(7). Retrieved from http://www.jstatsoft.org/v63/i07
Journal - Research Article
Cornwall, J., Davies, T. M., & Lees, D. (2013). Student injuries in the dissecting room. Anatomical Sciences Education, 6(6), 404-409. doi: 10.1002/ase.1363
Journal - Research Article
Davies, T. M. (2013). Jointly optimal bandwidth selection for the planar kernel-smoothed density-ratio. Spatial & Spatio-temporal Epidemiology, 5, 51-65. doi: 10.1016/j.sste.2013.04.001
Journal - Research Article
Davies, T. M. (2013). Scaling oversmoothing factors for kernel estimation of spatial relative risk. Epidemiologic Methods, 2(1), 67-83. doi: 10.1515/em-2012-0008
Journal - Research Article
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