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Modelling the Errors in Areal Interpolation between Zonal Systems by Monte Carlo Simulation

Bibliographic Data

ID4143549
AuthorsP F Fisher (University of Leicester), Mitchel Langford (0000-0002-8641-5041, University of Leicester)
Year1995
Volume27
Issue2
Pages211-224
Publication date1995-02-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueEnvironment and Planning A Economy and Space (JOURNAL)
Journal identifiersISSN: 0308-518X • E-ISSN: 1472-3409
PublisherSAGE Publications Inc (PUBLISHER)
DOI10.1068/a270211
OpenAlexW2086819892
LanguageEN
Citations received31
References cited21

Areal interpolation involves the transfer of data (often socioeconomic statistics and especially population data) from one zonation of a region to another, where the two zonations are geographically incompatible. This process is inevitably imprecise and is subject to a number of possible errors depending on the assumptions inherent in the methods used. Previous analysts have had only limited information with which to compare the results of interpolation and so assess the errors. In this paper a Monte Carlo simulation method based on modifiable areal units is employed. This allows multiple interpolations of population to be conducted from a single set of source zones to numerous sets of target zones. The properties of the full error distribution associated with a particular interpolation model can then be examined. The method based on dasymetric mapping consistently gave the highest accuracy of those tested, whereas the areal weighting method gave the lowest. More important than the results presented is the potential for future testing of other methods in increasingly complex situations

Algorithm · Bilinear interpolation · Data set · Inverse distance weighting · Monte Carlo method · Multivariate interpolation · Population · Statistics · Weighting · Computer Science · demographic modeling and climate adaptation · Mathematics · Soil Geostatistics and Mapping · Spatial and Panel Data Analysis · Artificial Intelligence

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  • Using remote sensing and census tract data to improve representation of population spatial distribution

    Open Access•Silvana Amaral, André Augusto Gavlak et al.•Population and Environment•2012

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  • A Comparative Evaluation of Error and Bias in Census Tract-Level Age/Sex-Specific Population Estimates

    Open Access•Jack Baker, Jack W Baker et al.•Population Research and Policy…•2013

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    Open Access•Michael Reibel, Aditya Agrawal et al.•Population Research and Policy…•2007

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    J R Logan, Brian J Stults et al.•Annals of the American…•2016

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    Jia Xiao•Annals of the American…•2021

  • Bayesian Areal Interpolation, Estimation, and Smoothing

    Open Access•Andrew S Mugglin, Bradley P Carlin et al.•Environment and Planning A…•1999

  • Street-Weighted Interpolation Techniques for Demographic Count Estimation in Incompatible Zone Systems

    Open Access•Michael Reibel, Michael E Bufalino•Environment and Planning A…•2005

  • From here to there

    Open Access•Salvatore Saporito, Jana M Chavers et al.•Social Science Research•2007

  • Statistical applications in the spatial sciences

    Neil Wrigley•Statistical applications in the…•1979

  • A Mark 1 Geographical Analysis Machine for the automated analysis of point data sets

    Stan Openshaw, Martin Charlton et al.•International Journal of…•1987

  • A Simplified Monte Carlo Significance Test Procedure

    Open Access•Adery C A Hope•Journal of the Royal Statistical…•1968

  • Spatial Interpolation Methods

    Nina S N Lam, Nina Siu-Ngan Lam•The American Cartographer•1983

  • Smooth Pycnophylactic Interpolation for Geographical Regions

    Waldo R Tobler, Waldo Tobler•Journal of the American…•1979

  • Using areal interpolation methods in geographic information systems

    Open Access•Robin Flowerdew, Mick Green et al.•Papers of the Regional Science…•1991

  • International Yearbook of Cartography

    Open Access•F J Ormeling, Ferjan Ormeling•Tijdschrift voor Economische en…•1983

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  • The Modifiable Areal Unit Problem in Multivariate Statistical Analysis

    Open Access•A Stewart Fotheringham, D W S Wong et al.•Environment and Planning A…•1991

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    Open Access•Ian Bracken, David Martins et al.•Environment and Planning A…•1989

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    Open Access•David Martins, D Martin et al.•Environment and Planning A…•1991

  • A Method of Mapping Densities of Population

    Open Access•John Wright, John K Wright•Geographical Review•1936

  • A Monte Carlo Approach to Diffusion

    Open Access•Torsten Hagerstrand•European Journal of Sociology•1965

  • A Framework for the Areal Interpolation of Socioeconomic Data

    Open Access•Michael F Goodchild, Luc Anselin et al.•Environment and Planning A…•1993

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    Open Access•C G Amrhein, Carl Amrhein et al.•Environment and Planning A…•1992

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    Open Access•Openshaw, Stan Openshaw•Environment and Planning A…•1977

Unique citing works31
Citations per year1,15
Citation span1999 - 2026 (28)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 24

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