The Modifiable Areal Unit Problem¶
Openshaw, S. (1984). The Modifiable Areal Unit Problem. Geo Books.
Cited by¶
15 citations across 15 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Co-location
- What the relation licenses, once the grain is fixed, is not an inference about traffic between the occupants but an inference about their common relation to the region — whatever the region undergoes, its occupants undergo together — together with an opportunity: any contact whose cost scales with distance becomes cheap, without thereby becoming actual.
This sourceEstablishes that spatial results are indexed to the scale and zoning of the units an analyst draws, with no scale-free fact of the matter -- the resolution-indexing premise on which this sentence's 'once the grain is fixed' clause rests.
- What the relation licenses, once the grain is fixed, is not an inference about traffic between the occupants but an inference about their common relation to the region — whatever the region undergoes, its occupants undergo together — together with an opportunity: any contact whose cost scales with distance becomes cheap, without thereby becoming actual.
- Discretization-Induced Artifact
- Imaging and geography: pixel and voxel artefacts, where a tumour boundary shifts with voxel size; and the modifiable areal unit problem, where the same point pattern yields different correlations depending on the aggregation units chosen.
This sourceCATMOG 38. Norwich: Geo Books, 1984. The same point pattern yields different correlations depending on the aggregation units chosen — formally identical to histogram binning.
- Imaging and geography: pixel and voxel artefacts, where a tumour boundary shifts with voxel size; and the modifiable areal unit problem, where the same point pattern yields different correlations depending on the aggregation units chosen.
- Grain of Analysis
- Geographic and temporal analysis: the modifiable areal unit problem and the choice of temporal grain (second, hour, year) make the same data yield different conclusions at block, tract, county, or state level.
This sourceConcepts and Techniques in Modern Geography (CATMOG) 38. Norwich: Geo Books, 1984. Canonical statement that the same spatial data analyzed at different areal grains (block, tract, county, state) yields different correlations and conclusions; the spatial special case of grain mismatch.
- Geographic and temporal analysis: the modifiable areal unit problem and the choice of temporal grain (second, hour, year) make the same data yield different conclusions at block, tract, county, or state level.
- Modifiable Areal Unit Problem
- In geography and spatial statistics — the canonical home — census-tract, ZIP-code, and watershed analyses are all subject to MAUP, and practitioners routinely report sensitivity across plausible partitions.
This sourceCATMOG 38. Norwich: Geo Books, 1984. The canonical monograph naming and analyzing MAUP: aggregate statistics depend on the partition of areal units, decomposing into a scale effect and a zoning effect, with implications for redistricting and sensitivity reporting.
- In geography and spatial statistics — the canonical home — census-tract, ZIP-code, and watershed analyses are all subject to MAUP, and practitioners routinely report sensitivity across plausible partitions.
- Partition Dependence of Aggregates
- In its most dramatic form the partition reverses the sign of an inferred relationship (Simpson's paradox); in its generic form it produces quantitative partition-sensitivity even without sign reversal.
This sourceThe canonical statement of the MAUP, decomposing partition sensitivity into a scale effect and a zoning effect on identical point-level data.
- In its most dramatic form the partition reverses the sign of an inferred relationship (Simpson's paradox); in its generic form it produces quantitative partition-sensitivity even without sign reversal.
Mechanisms¶
- Density-Preserving Layout Rule
- Its failure mode is that "preserved average density" depends entirely on how the bands are drawn — the modifiable areal unit problem:
This sourceEstablishes the modifiable areal unit problem: aggregate spatial statistics depend on how geographic units and boundaries are drawn.
- Its failure mode is that "preserved average density" depends entirely on how the bands are drawn — the modifiable areal unit problem:
- Ecological Scale Selection
- Its strength is finding the scale the process actually uses instead of imposing one, which sidesteps the modifiable areal unit problem
This sourceCATMOG 38. Geo Books, University of East Anglia (1984). Shows that changing the scale or boundaries of areal units can materially alter, and sometimes reverse, statistical conclusions.
- Its strength is finding the scale the process actually uses instead of imposing one, which sidesteps the modifiable areal unit problem
- Ecological Scale Translation
- And how the grounds are drawn changes the apparent regional abundance, a spatial-aggregation artifact the method must probe rather than ignore.
This sourceExplains the modifiable areal unit problem as variation in analytical results caused by the scale and zoning of spatial aggregation units.
- And how the grounds are drawn changes the apparent regional abundance, a spatial-aggregation artifact the method must probe rather than ignore.
- Exposure Overlay Map
- A subtler trap is that the units you draw shape the numbers you read — aggregate exposure by one set of boundaries and a community looks safe, redraw them and it looks devastated.
This sourceShows that statistical results from areal data depend on the zoning and aggregation units used.
- A subtler trap is that the units you draw shape the numbers you read — aggregate exposure by one set of boundaries and a community looks safe, redraw them and it looks devastated.
- Exposure–Sensitivity–Capacity Matrix
- And because rows are areal units, the whole vulnerability picture can flip when you redraw the boundaries, the modifiable areal unit problem
This sourceDefines the modifiable areal unit problem as instability in spatial analytical results under changes to areal aggregation and zoning.
- And because rows are areal units, the whole vulnerability picture can flip when you redraw the boundaries, the modifiable areal unit problem
- Heat Map
- Redraw the cell boundaries and a hotspot can dissolve or appear — the modifiable areal unit problem in its purest form.
This sourceConcepts and Techniques in Modern Geography 38. Geo Abstracts, University of East Anglia (1984). Shows that changing arbitrary spatial aggregation zones can materially change or create apparent geographic patterns.
- Redraw the cell boundaries and a hotspot can dissolve or appear — the modifiable areal unit problem in its purest form.
- Map–List Choice
- Its failure mode is the map's quiet aggregation lie: rendering data by area makes the reader believe the boundaries carry meaning they may not, and the same underlying facts can tell opposite spatial stories depending on how regions are drawn.
This sourceShows that statistical results from the same spatial data can change materially when observations are aggregated into differently drawn areal units.
- Its failure mode is the map's quiet aggregation lie: rendering data by area makes the reader believe the boundaries carry meaning they may not, and the same underlying facts can tell opposite spatial stories depending on how regions are drawn.
- Scale-Shift Review Prompt
- The guard is to treat the modifiable areal unit problem
This sourceDocuments results really do change with the unit of aggregation.
- The guard is to treat the modifiable areal unit problem
- Spatial or Regional Aggregation
- Second, a boundary check: re-drawing the same points onto health catchments instead of political districts shifts the picture, a textbook case of the modifiable areal unit problem — the conclusion depends on where the lines fall.
This sourceExplains that regrouping the same point observations into differently drawn areal units can change mapped patterns and statistical conclusions.
- Second, a boundary check: re-drawing the same points onto health catchments instead of political districts shifts the picture, a textbook case of the modifiable areal unit problem — the conclusion depends on where the lines fall.
- Vulnerability Hotspot Overlay
- Results can flip with the choice of zones and resolution
This sourceConcepts and Techniques in Modern Geography 38. Geo Books (1984). Defines MAUP through result variation caused by aggregation scale and alternative zoning.
- Results can flip with the choice of zones and resolution
Verification¶
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Links previously used in the corpus¶
Before the registry existed this work was also linked 9 other ways.
- https://search.worldcat.org/cs/title/The-modifiable-areal-unit-problem/oclc/715052212 ×2
- https://search.worldcat.org/title/715052212 ×2
- https://search.worldcat.org/title/The-modifiable-areal-unit-problem/oclc/715052212 ×2
- https://www.uio.no/studier/emner/sv/iss/SGO9010/openshaw1983.pdf ×2
- https://books.google.com/books/about/The_Modifiable_Areal_Unit_Problem.html?id=OJbgswEACAAJ ×1
- https://openlibrary.org/books/OL2945167M/The_modifiable_areal_unit_problem ×1
- https://openlibrary.org/works/OL3346070W ×1
- https://search.worldcat.org/title/12052482 ×1
- https://www.qmrg.org.uk/files/2008/11/38-maup-openshaw.pdf ×1
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