Detecting Space - Time Patterns in Geocoded Disease Data. Cholera in London, 1854 Measles in the United States, 1962-95

This paper illustrates some of the methods used by geographers to specify appropriate models of the space-time patterns found in geocoded disease data. Such data are of two basic forms: point or area-based. Two data sets are analyzed. For point patterns, we use the classic data collected in 1854 by Dr. John Snow which give the geographical location of deaths from cholera in the Golden Square (Soho) district of London, England. Simple mapping methods based upon measures of geographical centrality (the spatial mean, median and mode) and Thiessen polygon techniques point to one particular water pump as the source of the cholera outbreak. The results of these methods are compared with those from nearest neighbour analysis as developed by Ripley (1976) and Diggle (1983). For area-based data, we use the monthly reported number of measles cases per million population in the United States between 1962 and 1995 at different spatial scales. The techniques of spatial autocorrelation analysis, disease centroids, and multidimensional scaling are used to unravel the distinctive geography of measles transmission into and within the United States that resulted from the systematic vaccination programmes articulated from 1967 by the Centers for Disease Control (CDC).

[1]  A. Hinman,et al.  International measles importations United States, 1980-1985. , 1988, International journal of epidemiology.

[2]  Harold W. Kulin,et al.  AN EFFICIENT ALGORITHM FOR THE NUMERICAL SOLUTION OF THE GENERALIZED WEBER PROBLEM IN SPATIAL ECONOMICS , 1962 .

[3]  J. Ord,et al.  Spatial Diffusion: An Historical Geography of Epidemics in an Island Community , 1981 .

[4]  F. Black,et al.  Measles endemicity in insular populations: critical community size and its evolutionary implication. , 1966, Journal of theoretical biology.

[5]  Mark Bartlett,et al.  The Critical Community Size for Measles in the United States , 1960 .

[6]  Peter J. Diggle,et al.  Statistical analysis of spatial point patterns , 1983 .

[7]  P. Haggett,et al.  Atlas of Disease Distributions: Analytic Approaches to Epidemiological Data , 1989 .

[8]  A. Langmuir,et al.  Epidemiologic basis for eradication of measles in 1967. , 1967, Public health reports.

[9]  Chris Chatfield,et al.  The Analysis of Time Series: An Introduction , 1981 .

[10]  Peter Haggett,et al.  Measles: an historical geography of a major human viral disease, from global expansion to local retreat, 1840-1990. , 1993 .

[11]  Peter Haggett,et al.  Hybridizing alternative models of an epidemic diffusion process , 1976 .

[12]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[13]  Waldo R. Tobler,et al.  Computation of the correspondence of geographical patterns , 1965 .

[14]  B. Ripley The Second-Order Analysis of Stationary Point Processes , 1976 .

[15]  David A. Dickey,et al.  The Analysis of Time Series: An Introduction (2nd ed.). , 1981 .

[16]  D. A. Griffiths,et al.  The Effect of Measles Vaccination on the Incidence of Measles in the Community , 1973 .

[17]  Joseph L. Zinnes,et al.  Theory and Methods of Scaling. , 1958 .

[18]  Anthony Peter Macmillan Coxon,et al.  The user's guide to multidimensional scaling : with special reference to the MDS (X) library of computer programs , 1983 .

[19]  J. Snow On the Mode of Communication of Cholera , 1856, Edinburgh medical journal.

[20]  C. Chatfield,et al.  The Analysis of Time Series: An Introduction. 2nd Edition. , 1981 .

[21]  M. Bartlett Measles Periodicity and Community Size , 1957 .