The comparison of maps and the use of orthogonal polynomials in trend surface analysis orthogonal polynomials in trend surface analysis: an example applied to Chile
Keywords:
map comparison, use of polynomials, trend analysisAbstract
Many branches of Geography waste a great deal of time and effort making map comparisons. Thus, such comparisons can include very varied topics, such as relationships between crops and precipitation levels, levels of diffusion of innovations in a region, or comparison of different cities for the purpose of regularizing their spatial development.
Map comparisons are commonly made to fulfill two purposes: a) as a taxonomic process, in order to classify a group of similar phenomena or distributions. b) as part of research to establish whether the distribution of similar patterns is caused by similar processes.
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References
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BRADSHAW, R.P. y SANCHEZ, A. 1982: "El análisis de superficies de tendencia: un ejemplo aplicado en dos provincias de Chile central". Rev. Terra
Australis, Santiago de Chile, junio.
CLlFF, A.D. 1970: "Computing the spatial correspondence between geographical patterns". Transactions Inst. Brit. Geogr. SO, 143-54.
COURT, A. 1970: "Map comparisons", Economic Geography 46, 43s-&
DAVIS, J.C. 1973: Statistics and data analysis in geology. John Wiley and Sons, Inc., New York, 550 p.
DE LURY, D.B. 1950: Values and integrals of the orthogonal polynomials up to n = 26 Univ. Toronto Press, Toronto, 33 p.
ESTEBANEZ, J. y BRADSHAW, R. 1979: Técnicas de cuantificación en Geografía. Tebar Flores, Madrid, 513 p.
CRANT, F. 1957: hA problem in the analysis of geophysical data". Geophysics 22, 309-44.
HAGGETT, P. 1968: "Trend-surface rnapping in the inter-regional comparison of intra-regional structures': Papers of the Regional Science Association 20,19-28.
HACCETT, P. and BASSETT, K.A. 1969: "The use of trend-surface parameters in inter-urban comparisons". Environment and Planning 2, 225-37.
INSTITUTO NACIONAL DE ESTADISTICAS. República de Chile 1970: "Entidades de población, provincia de O'Higgins" y "Entidades de población provincia de Colchagua". XIV Censo Nacional de Población y I/I de Vivienda, Santiago, Chile.
JENKS, C.F. 1975: "The evaluation and prediction of visual clustering in maps symbolized with proportional circles", in J.C. Davis and MJ. McCullagh Display and analysis ofspatial data. John Wileyand Sons, London, 378 p.
LLOYD, R. and STEINKE, T. (1977): "Visual and statistical comparison of choropleth maps". Anals. Assoc. Amer. Geogra. 67, 429-36.
McCARTY, H. and SALISBURY, N. (1961) "Visual comparisons of isopleth maps as a means of determing correlations between spatially distributed phenomena". Research Report ND 3. Ceography Dept., Univ. Iowa, Iowa City, 81 p.
MATHER, P.M.(1976): Computational methods multivariate analysis in physical geography. JoOOWiley and Sons, London, 532 p.
MERRIAM, D.F. and SNEATH, P.H.A. 1966: "Quantitative comparison of contour maps". Joum. Geophys. Research 71,1105.15.
MIESCH, A.T. and CONNOR, ].J. 1968: "Stepwise regression and nonpolynomial models in trend analysis".. Kansas Geological Survey Computer Contribution 27, 40 p.
MINNICK, R.F. 1964 "A method for the measurement of a real correspondence". Papers of the Michigan Academy of Science, Arts and Letters. 49,333-44.
OLSON, J. 1972): "The effect of class interval system in Choropleth map correlation". Canadian Geographer 9, 44-9.
ROBINSON, A.H. and BRYSON, R.A. 1957: "A method for describing quantitatively the correspondence of geographical distributions". Annals Assoc. Amer.
Ceogr. 47. 379-91.
UNWIN, D. 1981: Introductory spatial analysis. Methuen, London, 212 pp.
WHITTEN, E.H.T. 1974: "Orthogonal-polynomial contoured trend-surface maps for irregulary spaced data". Computer Aplications 1, 171-92.
WHITTEN, E.H.T. 1975: "The practica! use of trendsurface analyses in the geological sciences", in J.C.
Davis and M.J. McCullagh Display and analysis of spatial data. JoOO Wiley and Sons, London, 378 p.
BRADSHAW, R.P. y SANCHEZ, A. 1982: "El análisis de superficies de tendencia: un ejemplo aplicado en dos provincias de Chile central". Rev. Terra
Australis, Santiago de Chile, junio.
CLlFF, A.D. 1970: "Computing the spatial correspondence between geographical patterns". Transactions Inst. Brit. Geogr. SO, 143-54.
COURT, A. 1970: "Map comparisons", Economic Geography 46, 43s-&
DAVIS, J.C. 1973: Statistics and data analysis in geology. John Wiley and Sons, Inc., New York, 550 p.
DE LURY, D.B. 1950: Values and integrals of the orthogonal polynomials up to n = 26 Univ. Toronto Press, Toronto, 33 p.
ESTEBANEZ, J. y BRADSHAW, R. 1979: Técnicas de cuantificación en Geografía. Tebar Flores, Madrid, 513 p.
CRANT, F. 1957: hA problem in the analysis of geophysical data". Geophysics 22, 309-44.
HAGGETT, P. 1968: "Trend-surface rnapping in the inter-regional comparison of intra-regional structures': Papers of the Regional Science Association 20,19-28.
HACCETT, P. and BASSETT, K.A. 1969: "The use of trend-surface parameters in inter-urban comparisons". Environment and Planning 2, 225-37.
INSTITUTO NACIONAL DE ESTADISTICAS. República de Chile 1970: "Entidades de población, provincia de O'Higgins" y "Entidades de población provincia de Colchagua". XIV Censo Nacional de Población y I/I de Vivienda, Santiago, Chile.
JENKS, C.F. 1975: "The evaluation and prediction of visual clustering in maps symbolized with proportional circles", in J.C. Davis and MJ. McCullagh Display and analysis ofspatial data. John Wileyand Sons, London, 378 p.
LLOYD, R. and STEINKE, T. (1977): "Visual and statistical comparison of choropleth maps". Anals. Assoc. Amer. Geogra. 67, 429-36.
McCARTY, H. and SALISBURY, N. (1961) "Visual comparisons of isopleth maps as a means of determing correlations between spatially distributed phenomena". Research Report ND 3. Ceography Dept., Univ. Iowa, Iowa City, 81 p.
MATHER, P.M.(1976): Computational methods multivariate analysis in physical geography. JoOOWiley and Sons, London, 532 p.
MERRIAM, D.F. and SNEATH, P.H.A. 1966: "Quantitative comparison of contour maps". Joum. Geophys. Research 71,1105.15.
MIESCH, A.T. and CONNOR, ].J. 1968: "Stepwise regression and nonpolynomial models in trend analysis".. Kansas Geological Survey Computer Contribution 27, 40 p.
MINNICK, R.F. 1964 "A method for the measurement of a real correspondence". Papers of the Michigan Academy of Science, Arts and Letters. 49,333-44.
OLSON, J. 1972): "The effect of class interval system in Choropleth map correlation". Canadian Geographer 9, 44-9.
ROBINSON, A.H. and BRYSON, R.A. 1957: "A method for describing quantitatively the correspondence of geographical distributions". Annals Assoc. Amer.
Ceogr. 47. 379-91.
UNWIN, D. 1981: Introductory spatial analysis. Methuen, London, 212 pp.
WHITTEN, E.H.T. 1974: "Orthogonal-polynomial contoured trend-surface maps for irregulary spaced data". Computer Aplications 1, 171-92.
WHITTEN, E.H.T. 1975: "The practica! use of trendsurface analyses in the geological sciences", in J.C.
Davis and M.J. McCullagh Display and analysis of spatial data. JoOO Wiley and Sons, London, 378 p.
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Published
1984-01-01
How to Cite
BRADSHAW, R., & SANCHEZ, A. (1984). The comparison of maps and the use of orthogonal polynomials in trend surface analysis orthogonal polynomials in trend surface analysis: an example applied to Chile. Revista De Geografía Norte Grande, (11), 31–43. Retrieved from https://redae.uc.cl/index.php/RGNG/article/view/39523
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