Spatial Autocorrelation: A Review of Existing and New Measures with Applications

try," it should be understood that any lattice of regions, or appropriate point pattern, could be considered using the methads to be discussed. Let the observed value of the variate X for the ith county be xi. If there is no value of X for a county, we assume that the county is not of interest in the particular study. Given the sets of counties and county values, we may then ask whether there is any spatial relationship between the xi for different counties. There are many situations in which this question, or a variant of it, is relevant, some of which are listed below.

[1]  R. A. Bryson,et al.  A METHOD FOR DESCRIBING QUANTITATIVELY THE CORRESPONDENCE OF GEOGRAPHICAL DISTRIBUTIONS1 , 1957 .

[2]  P. M. O'Sullivan,et al.  Accessibility and the spatial structure of the Irish economy , 1968 .

[3]  Roberto Bachi.  STANDARD DISTANCE MEASURES AND RELATED METHODS FOR SPATIAL ANALYSIS , 1963 .

[4]  R. Geary,et al.  The Contiguity Ratio and Statistical Mapping , 1954 .

[5]  G. Olsson,et al.  APPROACHES TO SIMULATIONS OF URBAN GROWTH , 1966 .

[6]  M. S. Bartlett,et al.  The spectral analysis of two-dimensional point processes , 1964 .

[7]  P. Moran.  The Interpretation of Statistical Maps , 1948 .

[8]  K. Kershaw,et al.  Quantitative and Dynamic Ecology. , 1965 .

[9]  Michael F. Dacey.  A County-Seat Model for the Areal Pattern of an Urban System , 1966 .

[10]  H. E. Daniels,et al.  The Relation Between Measures of Correlation in the Universe of Sample Permutations , 1944 .

[11]  R. Morrill,et al.  TRANSPORT EXPANSION IN UNDERDEVELOPED COUNTRIES: A COMPARATIVE ANALYSIS. IN: TRANSPORT INFRASTRUCTURE , 1963 .

[12]  E. Forde.  The population of Ghana : a study of the spatial relationships of its sociocultural and economic characteristics , 1968 .

[13]  M. Dacey.  An Empirical Study of the Areal Distribution of Houses in Puerto Rico , 1968 .

[14]  B. Birch.  THE MEASUREMENT OF DISPERSED PATTERNS OF SETTLEMENT , 1967 .

[15]  P. Moran.  Notes on continuous stochastic phenomena. , 1950, Biometrika.

[16]  P V K IYER,et al.  The first and second moments of some probability distributions arising from points on a lattice and their application. , 1949, Biometrika.

[17]  P. Greig-Smith,et al.  QUANTITATIVE PLANT ECOLOGY , 1959 .

[18]  Arthur H. Robinson,et al.  A CORRELATION AND REGRESSION ANALYSIS APPLIED TO RURAL FARM POPULATION DENSITIES IN THE GREAT PLAINS1 , 1961 .

[19]  A. Hope.  A Simplified Monte Carlo Significance Test Procedure , 1968 .

[20]  P. Whittle.  ON STATIONARY PROCESSES IN THE PLANE , 1954 .

[21]  Gunnar Olsson.  CENTRAL PLACE SYSTEMS, SPATIAL INTERACTION, AND STOCHASTIC PROCESSES , 1967 .

[22]  D. Harvey.  Some Methodological Problems in the Use of the Neyman Type A and the Negative Binomial Probability Distributions for the Analysis of Spatial Point Patterns , 1968 .

[23]  D. W. Harvey,et al.  Geographical Processes and the Analysis of Point Patterns: Testing Models of Diffusion by Quadrat Sampling , 1966 .

[24]  J. Durbin,et al.  Testing for serial correlation in least squares regression. II. , 1950, Biometrika.