Quadrat Analysis_RW_Thomas

Quadrat Analysis_RW_Thomas - AN INTRODUCTION TO QUADRAT...

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ISSN 0306-6142 ISBN 0 902246 66 6 © 1977 R.W. Thomas AN INTRODUCTION TO QUADRAT ANALYSIS R.W.Thomas
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CATMOG (Concepts and Techniques in Modern Geography) CATMOG has been created to fill a teaching need in the field of quantitative methods in undergraduate geography courses. These texts are admirable guides for the teachers, yet cheap enough for student purchase as the basis of class- work. Each book is written by an author currently working with the technique or concept he describes. 1. Introduction to Markov chain analysis - L. Collins 2. Distance decay in spatial interactions - P.J. Taylor 3. Understanding canonical correlation analysis - D. Clark 4. Some theoretical and applied aspects of spatial interaction shopping models - S. Openshaw 5. An introduction to trend surface analysis - D. Unwin 6. Classification in geography - R.J. Johnston 7. An introduction to factor analytical techniques - J.B. Goddard & A. Kirby 8. Principal components analysis - S. Daultrey 9. Causal inferences from dichotomous variables - N. Davidson 10. Introduction to the use of logit models in geography - N. Wrigley 11. Linear programming: elementary geographical applications of the transportation problem - A. Hay 12. An introduction to quadrat analysis - R.W. Thomas 13. An introduction to time-geography. N.J. Thrift Other titles are in preparation, and any suggestions as to new titles should be sent to the Editor, Dr P.J. Taylor, Dept of Geography, University of Newcastle upon Tyne. Prospective authors are invited to submit an outline of their proposed text for consideration. This series, Concepts and Techniques in Modern Geography is produced by the Study Group in Quantitative Methods, of the Institute of British Geographers. For details of membership of the Study Group, write to the Institute of British Geographers, I Kensington Gore, London, S.W.7. The series is published by Geo Abstracts Ltd., University of East Anglia, Norwich, NR4 7TJ, to whom all other enquiries should be addressed. Pa c e_ CONCEPTS AND TECHNIQUES IN MODERN GEOGRAPHY No. 12 AN INTRODUCTION TO QUADRAT ANALYSIS by R. W. Thomas (University of Manchester) CONTENTS I INTRODUCTION (i) Background (ii) Data collection methods (iii) The methodology of quadrat analysis (iv) Other properties of point patterns II INDEPENDENCE IN SPACE (i) The multiplication axiom for independent events (ii) Binomial coefficients (iii) The binomial distribution (iv) The Poisson distribution as a limit of the binomial III GOODNESS-OF-FIT TESTS (i) The Chi-square test (ii) The Kolmogorov-Smirnov D Statistic (iii) The variance/mean ratio IV DEPENDENCE IN SPACE (i) Uniform and clustered patterns (ii) The negative binomial distribution (iii) Moments and maximum likelihood estimation of k (iv) Other distributions V GEOGRAPHICAL APPLICATIONS AND THEIR PROBLEMS (i) Karst depressions and the problem of model specification (ii) The scale problem 1
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( 1 ) VI ALTERNATIVE APPROACHES (i) Multinomial coefficients and state descriptions (ii) The entropy maximising distribution (iii) Redundancy VII CONCLUSIONS BIBLIOGRAPHY APPENDIX Acknowledgement
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