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Original Articles

Modelling a discrete spatial response using generalized linear mixed models: application to Lyme disease vectors

Pages 151-166 | Published online: 10 Nov 2010

References

  • APPERSON , C. S. , LEVINE , J. F. and NICHOLSON , W. L. 1990 . Geograhic occurrence of Ixodes scapularis and Amblyomma americanum (Acari: Ixodidae) infesting white-tailed deer in North Carolina . Journal of Wildlife Diseases , 26 : 550 – 553 .
  • BAKER , W. L. 1992 . Effects of settlement and fire suppression on landscape structure . Ecology , 73 : 1879 – 1887 .
  • BERTRAND , M. R. and WILSON , M. L. 1996 . Microclimate-dependent survival of unfed adult Ixodes scapularis (Acari: Ixodidae) in nature: life cycle and study design implications . Journal of Medical Entomology , 33 : 619 – 627 .
  • BESAG , J. E. 1974 . Spatial interaction and the statistical analysis of lattice systems . Journal of the Royal Statistical Society, Series B , 35 : 192 – 236 .
  • BRESLOW , N. E. 1984 . Extra-Poisson variation in log-linear models . Applied Statistics , 33 : 38 – 44 .
  • BRESLOW , N. E. and CLAYTON , D. G. 1993 . Approximate inference in generalized linear mixed models . Journal of the American Statistical Association , 88 : 9 – 25 .
  • BRESLOW , N. E. and DAY , N. E. 1980 . The Design and Analysis of Cohort Studies , Lyon : International Agency for Research on Cancer .
  • CLAYTON , D. and KALDOR , J. 1987 . Empirical Bayes estimates of age-standardized relative risks for use in disease mapping . Biometrics , 43 : 671 – 681 .
  • CRESSIE , N. 1993 . Statistics for Spatial Data , New York : John Wiley .
  • CRESSIE , N. and CHAN , N. H. 1989 . Spatial modeling of regional variables . Journal of the American Statistical Association , 84 : 393 – 401 .
  • DAS , A. 1998 . Topics in Spatial Statistics , Baltimore : Department of Biostatistics, Johns Hopkins University School of Hygiene & Public Health . Ph.D. Dissertation
  • DEMPSTER , A. P. , LAIRD , N. M. and RUBIN , D. B. 1977 . Maximum likelihood for incomplete data via the EM algorithm (with discussion) . Journal of the Royal Statistical Society, Series B , 44 : 1 – 38 .
  • DIGGLE , P. J. , TAWN , J. A. and MOYEED , R. A. 1998 . Model-based Geostatistics (with discussion) . Journal of the Royal Statistical Society, Series C , 47 : 299 – 350 .
  • DUNNING , J. B. , STEWART , D. J. , DANIELSON , B. J. , NOON , B. R. , ROOT , T. L. , LAMBERSON , R. H. and STEVENS , E. E. 1995 . Spatially explicit population models: current forms and future uses (in spatially explicit population models) . Ecological Applications , 5 : 3 – 11 .
  • EASTMAN , J. R. 1993 . IDRISI. Version 4.1 , Worcester, MA : Clark University .
  • GLASS , G. E. , AMERASINGHE , F. P. , MORGAN , J. M. and SCOTT , T. W. 1994 . Predicting Ixodes scapularis abundance on white tailed deer using geographic information systems . American Journal of Tropical Medicine and Hygiene , 51 : 538 – 544 .
  • GLASS , G. E. , SCHWARTZ , B. S. , MORGAN , J. M. III , JOHNSON , D. T. , NOY , P. M. and ISRAEL , E. 1995 . Environmental risk factors for Lyme disease identified with geographic information systems . American Journal of Public Health , 85 : 944 – 948 .
  • GODDARD , J. 1992 . Ecological studies of adult Ixodes scapularis in central Mississippi: questing activity in relation to time of year, vegetation type, and meterologic conditions . Journal of Medical Entomology , 29 : 501 – 506 .
  • HASTINGS , W. K. 1970 . Monte Carlo sampling methods using Marlov chains and their applications . Biometrika , 57 : 97 – 109 .
  • HOUWING-DUISTERMAAT , J. J. , VAN HOUWELINGEN , H. C. and TERHELL , A. 1998 . Modelling the cause of dependency with application to filaria infection . Statistics in Medicine , 17 : 2939 – 2954 .
  • KITRON , U. , JONES , C. J. , BOUSEMAN , J. K. and BAUMGARTNER , D. L. 1992 . Spatial analysis of the distribution of Ixodes dammini (Acari: Ixodidae) on white-tailed deer in Ogle county, Illinois . Journal of Medical Entomology , 29 : 259 – 266 .
  • LASTAVICA , C. , WILSON , M. L. , BERARDI , V. P. , SPIELMAN , A. and DEBLINGER , R. D. 1989 . Rapid emergence of focal epidemic of Lyme disease in coastal Massachusetts . New England Journal of Medicine , 320 : 133 – 137 .
  • MATHSOFT INC. 1996 . Splus Version 3.3
  • MAUPIN , G. O. , FISH , D. , ZULTOWSKY , J. , CAMPOS , E. G. and PIESMAN , J. 1991 . Landscape ecology of Lyme disease in a residential area of Westchester County, New York . American Journal of Epidemiology , 133 : 1105 – 1113 .
  • MCCULLAGH , P. and NELDER , J. 1989 . Generalized Linear Models , London : Chapman and Hall .
  • MCCULLOCH , C. E. 1997 . Maximum likelihood algorithms for generalized linear mixed models . Journal of the American Statistical Association , 92 : 162 – 170 .
  • NIXON , C. M. , HANSEN , L. P. , BREWER , P. A. and CHELSVIG , J. E. 1991 . Ecology of the white-tailed deer in an intensively farmed region of Illinois . Wildlife Monographs , 118
  • PATZ , J. A. , EPSTEIN , P. R. , BURKE , T. A. and BALBUS , J. M. 1996 . Global climate change and emerging infectious diseases . Journal of the American Medical Association , 275 : 217 – 223 .
  • POPE , K. O. , REJMANKOVA , E. , SAVAGE , H. M. , ARREDONDO-JIMENEZ , J. I. , RODRIGUEZ , M. H. and ROBERTS , D. R. 1994 . Remote sensing of tropical wetlands for malaria control in Chiapas, Mexico . Ecological Applications , 4 : 81 – 90 .
  • RIBEIRO , J. M. , SEULU , F. , ABOSE , T. , KIDANE , G. and TEKLEHAMANOT , A. 1996 . Temporal and spatial distribution of anopheline mosquitoes in an Ethiopian village: implications for malaria control strategies . Bulletin of the World Health Organization , 74 : 299 – 305 .
  • SOLBERG , V. B. , OLSON , J. G. , BOOBAR , L. R. , BURGE , J. R. and LAWYER , P. G. 1995 . Prevalence of Ehrlichia chaffeensis, spotted fever group rickettsia, and Borrelia spp. infections in ticks and rodents at Fort Bragg, North Carolina . Journal of Vector Ecology , 21 : 81 – 84 .
  • STEERE , A. C. 1989 . Lyme Disease . New England Journal of Medicine , 321 : 586 – 596 .
  • SWIHART , R. K. , PICONE , P. M. , DENICOLA , A. J. and CORNICELLI , L. 1994 . “ Ecology of urban and suburban white tailed deer ” . In Urban Deer A Manageable Resource? , Edited by: McAninch , J. and Hansen , L. P. 35 – 44 . Berlin : Springer Verlag .
  • WALLIS , R. C. , BROWN , S. E. , KLOTER , K. O. and MAIN , A. J. 1978 . Erythema chronicum migrans and Lyme arthritis: field study of ticks . American Journal of Epidemiology , 108 : 322 – 327 .
  • WILSON , M. L. , ADLER , G. H. and SPIELMAN , A. 1985 . Correlation between abundance of deer and that of the deer tick Ixodes dammini (Acari: Ixodidae) . Annals of the Entomological Society of America , 78 : 172 – 176 .
  • YASUI , Y. and LELE , S. 1997 . A regression method for spatial disease rates: an estimating function approach . Journal of the American Statistical Association , 92 : 21 – 32 .

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