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GCRIMathematics, statistics and data
STEM Commons · Mathematics, statistics and data

Spatial statistics and geostatistics

Spatial statistics and geostatistics analyse data that vary across space, accounting for spatial dependence. They estimate values at unsampled locations and test for spatial patterns. Space and Earth Observation stewards this page for the Nexus Consortium.

01In brief

The short answer.

Spatial statistics and geostatistics analyse data that vary across space, accounting for spatial dependence. Spatial statistics produce continuous hazard and exposure surfaces with uncertainty. In the Nexus Consortium, Space and Earth Observation stewards its canonical page, and 7 other platforms apply it, including Water Nexus and Food Nexus.

02Geography

Energy demand and corridors in Western Europe.

Where demand concentrates in cities and the rail, road and port corridors that move fuel and equipment, shown for Western Europe as an example geography for this subject.

Where demand concentrates in cities and the rail, road and port corridors that move fuel and equipment.Indicator derived from Natural Earth at map scale; a screening view, not an assessment.
GCRI · institution · fieldDESIGN FIGURE
03The method

What spatial statistics and geostatistics covers.

  1. 01

    Core methods

    kriging; variogram analysis; spatial autocorrelation tests; point process modelling; spatial regression; hotspot analysis.

  2. 02

    Data and instruments

    monitoring station networks; georeferenced surveys; remote sensing products; administrative area statistics; point event records.

  3. 03

    Validation

    Predictions are tested using spatial cross-validation that respects dependence. Uncertainty maps are compared with independent observations.

  4. 04

    Limits

    Results depend on the scale and zoning of analysis. Sparse or clustered sampling limits prediction in unsampled areas.

  5. 05

    Use in risk decisions

    Spatial statistics produce continuous hazard and exposure surfaces with uncertainty. They reveal geographic clustering of risks and vulnerabilities across sectors.

04Reference practice

Spatial statistics supports mapping and small-area estimation.

ReferenceWhat it sets
Geostatistics (kriging)Interpolation with uncertainty
Small-area estimationSubnational estimates from surveys
WorldPop and GHSLGridded population
05In systemic risk work

Where, with what uncertainty.

Risk maps interpolate between observations and disaggregate statistics. Spatial statistics provides uncertainty maps alongside estimates, which is essential when targeting resources: a district that looks high-risk may simply be data-poor.

  • Publish uncertainty maps with estimates.
  • Account for spatial autocorrelation in inference.
  • Check gridded population against census.
  • Applications on Space and Earth Observation and Food Nexus.
07Stewardship

Who maintains this page.

Space and Earth Observation stewards spatial statistics and geostatistics: it keeps this description current and reviews how the method is applied across the platforms.

08Key terms

Terms used on this page.

Each term as this page uses it. Where a standard-setting body defines the term, the wording follows that body.

TermDefinition
GeocodingConverting addresses or place descriptions into geographic coordinates that can be matched to map layers.
Spatial correlationThe tendency of values at nearby locations to be similar, which concentrates losses.
KrigingA geostatistical interpolation method that predicts values at unmeasured locations from nearby observations, weighted by a model of spatial correlation, and returns an estimation variance.
VariogramA function describing how the difference between two measurements grows with the distance between them, the basis of kriging.
09Sources

Where this page's references lead.

The bodies and documents this page is read against. Status and editions change; each link goes to the issuing body.

11Questions

Questions and answers.

Why does one institution host every method page?
GCRI hosts the STEM Commons so that each method has one canonical description. Platforms link to it rather than repeat it, which keeps definitions consistent.
How do I suggest a correction to a method page?
Write to integrity@therisk.global with the passage and the reason.
The Global Centre for Risk and Innovation

Start with an enquiry.

The current service level is R0: information and enquiries. An enquiry receives a reference and names the next step; applications, payments, compute allocations and registrations open only when their team, terms and review capacity exist.

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