Volume 9, Issue 6
Article

An application of density estimation to geographical epidemiology

J. F. Bithell

Department of Statistics, University of Oxford, I South Parks Road, Oxford OXI 3TG, U.K.

Search for more papers by this author
First published: June 1990
Citations: 175

Abstract

A relative risk function over a geographical region is defined and it is shown that it can be estimated effectively using kernel density estimation separately for the spatial distribution of disease cases and for a sample of controls. This procedure is demonstrated using data on childhood leukaemia in the vicinity of the Sellafield nuclear reprocessing plant in Cumbria, U.K. Various modifications to the method are proposed, including the use of an adaptive kernel. The final plot demonstrates a sharp peak at Sellafield and a reasonably smooth surface over the rest of the region, despite the small number of cases in the series.

Number of times cited according to CrossRef: 175

  • Characterizing intersection variability of butterfly diagram in post-stroke gait using Kernel Density Estimation, Gait & Posture, 10.1016/j.gaitpost.2019.12.005, 76, (157-161), (2020).
  • Analysing point patterns on networks — A review, Spatial Statistics, 10.1016/j.spasta.2020.100435, (100435), (2020).
  • Nonparametric spatiotemporal analysis of violent crime. A case study in the Rio de Janeiro metropolitan area, Spatial Statistics, 10.1016/j.spasta.2020.100431, (100431), (2020).
  • Forecasting health effects potentially associated with the relocation of a major air pollution source, Environmental Research, 10.1016/j.envres.2019.109088, 182, (109088), (2020).
  • Geographic Variation and Associated Covariates of Diabetes Prevalence in India, JAMA Network Open, 10.1001/jamanetworkopen.2020.3865, 3, 5, (e203865), (2020).
  • Risk factors and spatial relative risk assessment for influenza A virus in poultry and swine in backyard production systems of central Chile, Veterinary Medicine and Science, 10.1002/vms3.254, 6, 3, (518-526), (2020).
  • Spatial relative risk and factors associated with porcine reproductive and respiratory syndrome outbreaks in United States breeding herds, Preventive Veterinary Medicine, 10.1016/j.prevetmed.2020.105128, 183, (105128), (2020).
  • Monitoring of Pseudorabies in Wild Boar of Germany—A Spatiotemporal Analysis, Pathogens, 10.3390/pathogens9040276, 9, 4, (276), (2020).
  • Built Environment Analysis for Road Traffic Crash Hotspots in Kigali, Rwanda, Frontiers in Sustainable Cities, 10.3389/frsc.2020.00017, 2, (2020).
  • An Introductory Framework for Choosing Spatiotemporal Analytical Tools in Population-Level Eco-Epidemiological Research, Frontiers in Veterinary Science, 10.3389/fvets.2020.00339, 7, (2020).
  • Placement of Infrastructure for Urban Electromobility: A Sustainable Approach, Sustainability, 10.3390/su12166324, 12, 16, (6324), (2020).
  • Trends and spatial distribution of MMR vaccine coverage in Brazil during 2007–2017, Vaccine, 10.1016/j.vaccine.2019.04.019, (2019).
  • Basic of GIS and Spatio-Temporal Assessment of Health Events, Geospatial Analysis of Public Health, 10.1007/978-3-030-01680-7, (59-98), (2019).
  • Application of kernel smoothing to estimate the spatio-temporal variation in risk of STEC O157 in England, Spatial and Spatio-temporal Epidemiology, 10.1016/j.sste.2019.100305, (100305), (2019).
  • undefined, 2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 10.1109/FUZZ-IEEE.2019.8858904, (1-6), (2019).
  • Fast Kernel Smoothing of Point Patterns on a Large Network using Two‐dimensional Convolution, International Statistical Review, 10.1111/insr.12327, 87, 3, (531-556), (2019).
  • The Availability of Retail Tobacco near Federally Qualified Healthcare Facilities and Addiction Treatment Centers in New York State, Preventive Medicine Reports, 10.1016/j.pmedr.2019.100989, (100989), (2019).
  • Space-time cluster detection with cross-space-time relative risk functions, Cartography and Geographic Information Science, 10.1080/15230406.2019.1641149, (1-12), (2019).
  • Spatial epidemiology of cutaneous leishmaniasis in Colombia: socioeconomic and demographic factors associated with a growing epidemic, Transactions of The Royal Society of Tropical Medicine and Hygiene, 10.1093/trstmh/trz043, (2019).
  • High-resolution maps of Swiss apiaries and their applicability to study spatial distribution of bacterial honey bee brood diseases, PeerJ, 10.7717/peerj.6393, 7, (e6393), (2019).
  • Mapping European canker spatial pattern and disease progression in apples using GIS, Tasman, New Zealand, New Zealand Plant Protection, 10.30843/nzpp.2019.72.305, 72, (176-184), (2019).
  • An evaluation of likelihood-based bandwidth selectors for spatial and spatiotemporal kernel estimates, Journal of Statistical Computation and Simulation, 10.1080/00949655.2019.1575066, (1-22), (2019).
  • Disease relative risk downscaling model to localize spatial epidemiologic indicators for mapping hand, foot, and mouth disease over China, Stochastic Environmental Research and Risk Assessment, 10.1007/s00477-019-01728-5, (2019).
  • Nonparametric localized bandwidth selection for Kernel density estimation, Econometric Reviews, 10.1080/07474938.2017.1397835, 38, 7, (733-762), (2018).
  • The epidemiology of Brucellosis in Greece, 2007–2012: a ‘One Health’ approach, Transactions of The Royal Society of Tropical Medicine and Hygiene, 10.1093/trstmh/try031, 112, 3, (124-135), (2018).
  • Spatiotemporal responses of dengue fever transmission to the road network in an urban area, Acta Tropica, 10.1016/j.actatropica.2018.03.026, 183, (8-13), (2018).
  • Environmental risk factors associated with low birth weight: The case study of the Haifa Bay Area in Israel, Environmental Research, 10.1016/j.envres.2018.05.006, 165, (337-348), (2018).
  • A scale-sensitive approach for comparing and classifying point patterns, Journal of Spatial Science, 10.1080/14498596.2018.1492466, (1-26), (2018).
  • Tutorial on kernel estimation of continuous spatial and spatiotemporal relative risk, Statistics in Medicine, 10.1002/sim.7577, 37, 7, (1191-1221), (2017).
  • A first‐order, ratio‐based nonparametric separability test for spatiotemporal point processes, Environmetrics, 10.1002/env.2482, 29, 1, (2017).
  • Fast computation of spatially adaptive kernel estimates, Statistics and Computing, 10.1007/s11222-017-9772-4, 28, 4, (937-956), (2017).
  • Vulnerability of the British swine industry to classical swine fever, Scientific Reports, 10.1038/srep42992, 7, 1, (2017).
  • Local composite likelihood for spatial point processes, Spatial Statistics, 10.1016/j.spasta.2017.03.001, 22, (261-295), (2017).
  • Infection-related microcephaly after the 2015 and 2016 Zika virus outbreaks in Brazil: a surveillance-based analysis, The Lancet, 10.1016/S0140-6736(17)31368-5, 390, 10097, (861-870), (2017).
  • Spatial identification of potential health hazards: a systematic areal search approach, International Journal of Health Geographics, 10.1186/s12942-017-0078-8, 16, 1, (2017).
  • Where is my neighborhood? A dynamic individual-based definition of home ranges and implementation of multiple evaluation criteria, Applied Geography, 10.1016/j.apgeog.2017.04.006, 84, (1-10), (2017).
  • A new approach to spatial identification of potential health hazards associated with childhood asthma, Science of The Total Environment, 10.1016/j.scitotenv.2017.03.222, 595, (413-424), (2017).
  • A geo-computational algorithm for exploring the structure of diffusion progression in time and space, Scientific Reports, 10.1038/s41598-017-12852-z, 7, 1, (2017).
  • Spatial Surveillance of Childhood Lead Exposure in a Targeted Screening State, Journal of Public Health Management and Practice, 10.1097/PHH.0000000000000620, 23, (S79-S92), (2017).
  • Testing for changes in spatial relative risk, Statistics in Medicine, 10.1002/sim.7306, 36, 17, (2735-2749), (2017).
  • Gebze Organize Sanayi Bölgesi’nin Mekânsal Etkileri, Türk Coğrafya Dergisi, 10.17211/tcd.319264, (2017).
  • Epidemiology of idiopathic nephrotic syndrome in children: endemic or epidemic?, Pediatric Nephrology, 10.1007/s00467-016-3509-z, 31, 12, (2299-2308), (2016).
  • Bandwidth selection for kernel log-density estimation, Computational Statistics & Data Analysis, 10.1016/j.csda.2016.05.003, 103, (56-67), (2016).
  • Symmetric adaptive smoothing regimens for estimation of the spatial relative risk function, Computational Statistics & Data Analysis, 10.1016/j.csda.2016.02.008, 101, (12-28), (2016).
  • Visually Exploring Transportation Schedules, IEEE Transactions on Visualization and Computer Graphics, 10.1109/TVCG.2015.2467592, 22, 1, (170-179), (2016).
  • Density Estimation, International Encyclopedia of Geography: People, the Earth, Environment and Technology, 10.1002/9781118786352, (1-6), (2016).
  • The Relative Utility of the Central Postcode Directory and Pinpoint Address Code in Applications of Geographical Information Systems, Environment and Planning A: Economy and Space, 10.1068/a231447, 23, 10, (1447-1458), (2016).
  • Are 2D space-use analyses adapted to animals living in 3D environments? A case study on a fish shoal, Behavioral Ecology, 10.1093/beheco/arw175, (arw175), (2016).
  • Application of the double kernel density approach to the multivariate analysis of attributeless event point datasets, Letters in Spatial and Resource Sciences, 10.1007/s12076-015-0166-y, 9, 3, (363-382), (2015).
  • undefined, Proceedings of the 24th International Conference on World Wide Web - WWW '15, 10.1145/2736277.2741675, (1253-1263), (2015).
  • Spatial variation in mortality risk for hematological malignancies near a petrochemical refinery: A population-based case-control study, Environmental Research, 10.1016/j.envres.2015.05.022, 140, (641-648), (2015).
  • undefined, CICTP 2015, 10.1061/9780784479292.326, (3509-3527), (2015).
  • Computational and data sciences for health-GIS, Annals of GIS, 10.1080/19475683.2015.1027735, 21, 2, (111-118), (2015).
  • Comparing adaptive and fixed bandwidth-based kernel density estimates in spatial cancer epidemiology, International Journal of Health Geographics, 10.1186/s12942-015-0005-9, 14, 1, (2015).
  • Spatial Relative Risk Patterns of Autism Spectrum Disorders in Utah, Journal of Autism and Developmental Disorders, 10.1007/s10803-014-2253-0, 45, 4, (988-1000), (2014).
  • Semiparametric Localized Bandwidth Selection in Kernel Density Estimation, SSRN Electronic Journal, 10.2139/ssrn.2435478, (2014).
  • Public health surveillance with ensemble-based supervised learning, IIE Transactions, 10.1080/0740817X.2014.894806, 46, 8, (770-789), (2014).
  • Geographical Epidemiology, Handbook of Epidemiology, 10.1007/978-0-387-09834-0, (1413-1445), (2014).
  • Detecting and Analyzing Mobility Hotspots using Surface Networks, Transactions in GIS, 10.1111/tgis.12076, 18, 6, (911-935), (2014).
  • Spatial ecology of perceived predation risk and vigilance behavior in white-faced capuchins, Behavioral Ecology, 10.1093/beheco/aru005, 25, 3, (477-486), (2014).
  • HIV estimates at second subnational level from national population-based surveys, AIDS, 10.1097/QAD.0000000000000480, 28, (S469-S476), (2014).
  • Generalizing the spatial relative risk function, Spatial and Spatio-temporal Epidemiology, 10.1016/j.sste.2013.12.002, 8, (1-10), (2014).
  • Plasmodium knowlesi malaria an emerging public health problem in Hulu Selangor, Selangor, Malaysia (2009–2013): epidemiologic and entomologic analysis, Parasites & Vectors, 10.1186/1756-3305-7-436, 7, 1, (436), (2014).
  • Spatial and Temporal Patterns in Cimex lectularius (Hemiptera: Cimicidae) Reporting in Philadelphia, PA , Journal of Medical Entomology, 10.1603/ME13120, 51, 1, (50-54), (2014).
  • Point Source Modeling, Wiley StatsRef: Statistics Reference Online, 10.1002/9781118445112, (2014).
  • Geographic Epidemiology , Wiley StatsRef: Statistics Reference Online, 10.1002/9781118445112, (2014).
  • Geographic Epidemiology, Wiley StatsRef: Statistics Reference Online, 10.1002/9781118445112, (1-18), (2014).
  • Analyzing High-Risk Emergency Areas with GIS and Neural Networks: The Case of Athens, Greece, The Professional Geographer, 10.1080/00330124.2013.765300, 66, 1, (124-137), (2013).
  • Identification of high-risk regions for schistosomiasis in the Guichi region of China: an adaptive kernel density estimation-based approach, Parasitology, 10.1017/S0031182013000048, 140, 7, (868-875), (2013).
  • A CyberGIS Environment for Analysis of Location-Based Social Media Data, Advanced Location-Based Technologies and Services, 10.1201/b14940, (187-206), (2013).
  • Prevalence and risk-mapping of bovine brucellosis in Maranhão State, Brazil, Preventive Veterinary Medicine, 10.1016/j.prevetmed.2012.11.013, 110, 2, (169-176), (2013).
  • Spatial statistical analysis of tree deaths using airborne digital imagery, International Journal of Applied Earth Observation and Geoinformation, 10.1016/j.jag.2012.04.006, 21, (418-426), (2013).
  • Jointly optimal bandwidth selection for the planar kernel-smoothed density-ratio, Spatial and Spatio-temporal Epidemiology, 10.1016/j.sste.2013.04.001, 5, (51-65), (2013).
  • Modelling dichotomously marked muscle fibre configurations, Statistics in Medicine, 10.1002/sim.5806, 32, 24, (4240-4258), (2013).
  • Bibliography, Statistical Methods in Spatial Epidemiology, undefined, (367-388), (2013).
  • Distance-Based Mapping of Disease Risk, The International Journal of Biostatistics, 10.1515/ijb-2012-0024, 9, 2, (2013).
  • Scaling Oversmoothing Factors for Kernel Estimation of Spatial Relative Risk, Epidemiologic Methods, 10.1515/em-2012-0008, 2, 1, (2013).
  • On the Move? chinococcus multilocularis in Red Foxes of Saxony‐Anhalt (Germany), Transboundary and Emerging Diseases, 10.1111/tbed.12026, 61, 3, (239-246), (2012).
  • A comparison of estimators of the geographical relative risk function, Journal of Statistical Computation and Simulation, 10.1080/00949655.2012.748055, 84, 7, (1471-1485), (2012).
  • Estimating spatial variation in disease risk from locations coarsened by incomplete geocoding, Statistical Methodology, 10.1016/j.stamet.2011.01.008, 9, 1-2, (239-250), (2012).
  • Spatial-Temporal Analysis of Cancer Risk in Epidemiologic Studies with Residential Histories, Annals of the Association of American Geographers, 10.1080/00045608.2012.671131, 102, 5, (1049-1057), (2012).
  • Spatial distribution of the risk for metabolic complications: an application in south-east Brazil, 2006–2007, Public Health Nutrition, 10.1017/S1368980011003363, 15, 6, (1008-1014), (2012).
  • undefined, 2012 IEEE 8th International Conference on E-Science, 10.1109/eScience.2012.6404440, (1-6), (2012).
  • Validation tests of an improved kernel density estimation method for identifying disease clusters, Journal of Geographical Systems, 10.1007/s10109-010-0146-0, 14, 3, (243-264), (2011).
  • Epidemiological simulation modeling and spatial analysis for foot-and-mouth disease control strategies: a comprehensive review, Animal Health Research Reviews, 10.1017/S146625231100017X, 12, 2, (225-234), (2011).
  • undefined, 2011 19th International Conference on Geoinformatics, 10.1109/GeoInformatics.2011.5980938, (1-6), (2011).
  • Méthodes pour cartographier les tendances régionales de la prévalence du VIH à partir des Enquêtes Démographiques et de Santé (EDS)Methods for mapping regional trends of HIV prevalence from Demographic and Health Surveys (DHS), Cybergeo, 10.4000/cybergeo.23782, (2011).
  • Methods for mapping regional trends of HIV prevalence from Demographic and Health Surveys (DHS), Cybergeo, 10.4000/cybergeo.24606, (2011).
  • Risk for Human African Trypanosomiasis, Central Africa, 2000–2009, Emerging Infectious Diseases, 10.3201/eid1712.110921, 17, 12, (2322-2324), (2011).
  • Nonparametric Evaluation of Dynamic Disease Risk: A Spatio-Temporal Kernel Approach, PLoS ONE, 10.1371/journal.pone.0017381, 6, 3, (e17381), (2011).
  • Hotspot detection and clustering: ways and means, Environmental and Ecological Statistics, 10.1007/s10651-010-0142-z, 17, 2, (231-245), (2010).
  • Point Process Models and Methods in Spatial Epidemiology, Handbook of Spatial Statistics, 10.1201/9781420072884-c22, (403-423), (2010).
  • Conceptualizing the healthscape: Contributions of time geography, location technologies and spatial ecology to place and health research, Social Science & Medicine, 10.1016/j.socscimed.2009.10.035, 70, 5, (668-676), (2010).
  • Vector fields of risk: A new approach to the geographical representation of childhood asthma, Health & Place, 10.1016/j.healthplace.2009.09.006, 16, 1, (140-146), (2010).
  • Review of methods for space–time disease surveillance, Spatial and Spatio-temporal Epidemiology, 10.1016/j.sste.2009.12.001, 1, 2-3, (105-116), (2010).
  • Selection of bandwidth type and adjustment side in kernel density estimation over inhomogeneous backgrounds, International Journal of Geographical Information Science, 10.1080/13658810902950625, 24, 5, (643-660), (2010).
  • Adaptive kernel estimation of spatial relative risk, Statistics in Medicine, 10.1002/sim.3995, 29, 23, (2423-2437), (2010).
  • Practical Point Pattern Analysis, Geographic Information Analysis, 10.1002/9780470549094, (157-186), (2010).
  • , Spatial Data Analysis, 10.1017/CBO9780511754944, (2010).
  • Identifying Areas with Elevated Disease Incidence Rates Using Empirical Bayes Estimators, Geographical Analysis, 10.1111/j.1538-4632.1996.tb00930.x, 28, 3, (187-199), (2010).
  • See more

The full text of this article hosted at iucr.org is unavailable due to technical difficulties.