Received date: 2003-04-03
Revised date: 2004-03-31
Online published: 2005-01-25
With the exponentially growing use of geographic information systems (GIS) to store, manipulate and visualize geocoded information, it is increasingly important to understand the particular nature of geographic data and the specialized statistical techniques required for its spatial analysis. Spatial analysis is often broadly defined as a “set of methods useful when the data are spatial”. More specifically, it encompasses a collection of techniques to add value to data contained in a geographic information system. As such, spatial analysis forms an important component of the evolving discipline of Geographic Information Science.
Aggregate spatial data are characterized by dependence (spatial autocorrelation) and heterogeneity (spatial structure). These spatial effects are important in applied statistical analysis, in that they may invalidate certain standard methodological results, demand adaptations to others, and in some contexts, necessitate the development of a specialized set of techniques. These issues are typically ignored by classical statistics and now are vigorously approached in the separate field of spatial statistics.
In this paper, some general ideas on fundamental issues are outlined, related to the distinctive characteristics of spatial data analysis, as opposed to data analysis in general. The emphasis is on the relevance for spatial data analysis of the ongoing debate about methodology in the disciplines of statistics and econometrics, and on the role of spatial errors in modeling and analysis. First, some general remarks are formulated on two opposing viewpoints regarding spatial analysis and spatial data: a datadriven approach versus a model-driven approach. This is followed by a review of a number of competing inferential frameworks that can be used as the basis for spatial data analysis. Next, the focus shifts to spatial errors and to the implications of various forms of spatial errors for spatial data analysis. Finally, some concluding remarks are formulated on future research directions in spatial statistics and spatial econometrics.
Key words: Spatial data; Spatial error; Statistical analysis of spatial data; ESDA
YING Longgen, NING Yuemin . Spatial Data: Its Nature, Effects and Ananlysis[J]. Advances in Earth Science, 2005 , 20(1) : 49 -056 . DOI: 10.11867/j.issn.1001-8166.2005.01.0049
[1]Cliff A, Ord J. Spatial Autocorrelation[M]. London: Pion, 1973.
[2]Tobler W. Cellular geography[A]. In: Gale S, Olsson G, eds. Philosophy in Geography [C].Dordrecht: Reidel Publishing, 1979. 379-386.
[3]Maron J, Harrison S. Spatial pattern formation in an insect host-parasitoid system[J].Science,1997, 278 (5 343): 1 619-1 621.
[4]Ranta E, Kaitala V, Lundberg P. The spatial dimension in population fluctuations[J].Science,1997, 278 (5 343): 1 621-1 623.
[5]Fan S, Gloor M, Mahlman J, et al.1998. A large terrestrial carbon sink in North America implied by atmospheric and oceanic carbon dioxide data and models[J].Science,1998,282(5 388): 442-446.
[6]Kunin W. Extrapolating species abundance across spatial scales[J].Science,1998, 281 (5 382): 1 513-1 515.
[7]Moser E, Krobert K, Moser M, et al. Impaired spatial learning after saturation of long-term potentiation[J].Science,1998, 281(5 385):2 038-2 042.
[8]Governato F, Baugh C, Frenk C, et al. The seeds of rich galaxy clusters in the universe[J].Nature,1998, 392: 359-361.
[9]Hampson R, Simeral J, Deadwyler S. Distribution of spatial and nonspatial information in dorsal hippocampus[J].Nature,1999, 402(6 762): 610-614.
[10]Condit R, Ashton P, Baker P,et al. Spatial patterns in the distribution of tropical tree species[J].Science,2000,288(5 470):1 414-1 418.
[11]Young W, Roberts A, Stuhne G. Reproductive pair correlations and the clustering of organisms[J].Nature,2001, 412(6 844):328-331.
[12]Wang Jinfeng, Li Lianfa, Ge Yong,et al. A theoretic framework for geographic information analysis[J].Acta Geographica Sinica,2000, 55(1): 318-328.[王劲峰,李连发,葛咏,等.地理信息空间分析理论体系[J].地理学报,2000,55(1): 318-328].
[13]Anselin L. What is special about spatial data? Alternative perspectives on spatial data analysis[A]. In: Griffith D A, ed. Statistics, Past, Present and Future[C].Ann Arbor, MI: Institute of Mathematical Geography, 1990.
[14]Anselin L, Getis A. Spatial statistical analysis and geographic information systems[J].Annals of Regional Science,1992, 26: 19-33.
[15]Shi Wenzhong. Spatial Data Errors and Treatment: Theories and Application[M]. Beijing: Science Press, 2000.[史文中.空间数据误差处理的理论与方法[M].北京:科学出版社,2000.]
[16]Getis A, Ord J. The analysis of spatial association by use of distance statistics[J].Geographical Analysis,1992, 24: 189-206.
[17]Anselin L. Some further notes on spatial models and regional science [J].Journal of Regional Science,1986, 26: 799-802.
[18]Anselin L. Quantitative methods in regional science: Perspectives on research Directions [A].In: Paper Presented at a Plenary Session of the Third World Congress of the Regional Science Association [C].Jerusalem, Israel,1989.
[19]Odland J,Golledge R, Rogerson P. Recent developments in mathematical and statistical analysis in human geography [A].In: Gaile G,Wilmott C, eds. Geography in America [C].Columus, OH: Merrill, 1989:719-745.
[20]Griffith D. Toward a theory of spatial statistics: Another step forward [J].Geographical Analysis,1987, 19: 69-82.
[21]Cliff A, Ord J. Spatial Processes, Models and Applications [M]. London: Pion, 1981.
[22]Anselin L. Spatial Econometrics: Methods and Models[M]. Dordrecht, The Netherlands: Kluwer Academic Publisher, 1988.
[23]Griffith D. Advanced Spatial Statistics [M]. Dordrecht: Kluwer Academic Publishers, 1988.
[24]Haining R. Spatial Data Analysis: Theory and Practice [M]. London: Cambridge University Press,2003.
[25]Ohkouchi N, Eglinton T, Keigwin L,et al. Spatial and temporal offsets between proxy records in a sediment drift [J].Science,2002, 298: 1 224-1 227.
[26]Durbin J. Is a philosophical consensus for statistics attainable? [J].Journal of Econometrics,1988, 37: 51-61.
[27]Foster S, Gorr W. An adaptive filter for estimating spatially-varying parameters: Application to modeling police hours spent in response to calls for service[J].Management Science,1986, 32: 878-889.
[28]Getis A. Spatial filtering in a regression framework [A]. In: Anselin L, Florax R, eds. New Directions in Spatial Econometrics[C]. New York: Springer, 1995.
[29]Folmer H. Regional Economic Policy: Measurement of Its Effect [M]. Dordrecht: Martinus Nijhoff, 1986.
[30]Couclelis H. Requirements for planning-relevant GIS: A spatial perspective[J].Papers and Proceedings of the Regional Science Association,1991,70: 9-19.
[31]Hubert L. Combinatorial data analysis: Association and partial association [J].Psychometrika,1985, 50: 449-467.
[32]Hubert L, Golledge R, Costanzo C. Generalized procedures for evaluating spatial autocorrelation [J].Geographical Analysis,1981, 13: 224-233.
[33]Getis A. Spatial interaction and spatial autocorrelation: A cross-product approach [J].Environment and Planning A,1991, 23: 1 269-1 277.
[34]Anselin L. Local Indicators of Spatial Association-LISA[R]. West Virginia University, Regional Research Institute, 1994, Research Paper 9331.
[35]Moran P. The interpretation of statistical maps [J].Journal of the Royal Statistical Society,1948, 10: 243-251.
[36]Geary R. The contiguity ratio and statistical mapping [J].The Incorporated Statistician,1954, 5: 115-145.
[37]Dacey M. Analysis of central place and point patterns by a nearest neighbor method [J].Human Geography,1962, 24: 55-75.
[38]Goodchild M. A spatial analytical perspective on geographical information systems [J].International Journal of Geographical Information Systems,1987, 1: 327-334.
[39]Haining R. Spatial models and regional science: A comment on Anselin's paper and research directions [J].Journal of Regional Science,1986, 26: 793-798.
[40]Boots B, Getis A. Point Pattern Analysis [M].Newbury Park, CA: Sage Publications,1988.
[41]Wartenberg D. Multivariate spatial correlation: A method for exploratory geographical analysis [J].Geographical Analysis,1985, 17: 263-283.
[42]Tukey J. Exploratory Data Analysis [M]. Reading: Addison-Wesley, 1977.
[43]Hooper P, Hewings G. Some properties of space-time processes [J].Geographical Analysis,1981, 13: 203-223.
[44]Getis A, Boots B. Models of Spatial Processes [M]. London: Cambridge University Press, 1978.
[45]Gould P. Letting the data speak for themselves [J].Annals of the Association of American Geographers,1981, 71: 166-176.
[46]Whittle P. On stationary processes in the plane [J].Biometrika,1954, 41: 434-449.
[47]Haining R. Testing a spatial interacting market hypothesis [J].The Review of Economics and Statistics,1984, 66: 576-583.
[48]Openshaw S, Taylor P. The modifiable areal unit problem [A]. In: Wrigley N, Bennet R, eds. Quantitative Geography, A British View[C]. London: Routledge and Kegan Paul, 1981:60-69.
[49]Griffith D. An evaluation of correction techniques for boundary effects in spatial statistical analysis: Contemporary methods [J].Geographical Analysis,1985, 17: 81-88.
[50]Nijkamp P,Leitner H, Wrigley N. Measuring the Unmeasurable [M]. Dordrecht: Martinus Nijhiff, 1985.
[51]Getis A. Spatial Statistics [R]. San Diego, California: The Stephen and Mary Birch Fellowship Foundation of Geographical Researches, San Diego State University, 1997.
[52]National Center for Geographic Information and Analysis (US). Varenius: NCGIA's Project to Advance GIScience[R]. NCGIA at the University of California, Santa Barbara, California, 2000.
/
〈 |
|
〉 |