Model-based small-area estimation with area-effects for sampled and non-sampled domains.

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Title: Model-based small-area estimation with area-effects for sampled and non-sampled domains.
Authors: Kangas, Annika1 (AUTHOR) annika.kangas@luke.fi, Myllymäki, Mari2 (AUTHOR), Packalen, Petteri2 (AUTHOR)
Source: Canadian Journal of Forest Research. 4/27/2026, Vol. 56, p1-10. 10p.
Subject Terms: Random effects model, Sampling (Process), Prediction models, Parameter estimation, Small area statistics, Clustering algorithms, Independent variables
Abstract: Previous studies recommend the empirical best linear unbiased predictor (EBLUP) for small-area estimation. However, EBLUP estimation requires at least one observation from each small area, while most of the areas may be non-sampled. One approach to overcome this problem is to predict the area-effects for the non-sampled areas with a model developed using the estimated area-effects from the sampled areas. Another approach is to cluster the small areas to larger groups and introduce a cluster-effect into the prediction model. We tested these approaches in a set of simulated small areas (domains). When observations from all or most domains were available, EBLUP with a domain-effect, or combined cluster- and domain-effect were the most reliable calibration methods. When the sampling fraction and the size of the domains were smaller, calibrating with the cluster-effect only was the most reliable method. Without any calibration, the model-based estimates for the domains with the highest volumes were severely underestimated. When observations were available, the EBLUP calibration improved the results in the high-end of the distribution. With the smallest sampling fractions and domains, also the predicted area-effects reduced the underestimation. However, the modelled area-effects were estimated from the population data, rather than from a sample. [ABSTRACT FROM AUTHOR]
Copyright of Canadian Journal of Forest Research is the property of Canadian Science Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Model-based small-area estimation with area-effects for sampled and non-sampled domains.
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  Label: Authors
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  Data: <searchLink fieldCode="AR" term="%22Kangas%2C+Annika%22">Kangas, Annika</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> annika.kangas@luke.fi</i><br /><searchLink fieldCode="AR" term="%22Myllymäki%2C+Mari%22">Myllymäki, Mari</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Packalen%2C+Petteri%22">Packalen, Petteri</searchLink><relatesTo>2</relatesTo> (AUTHOR)
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  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Canadian+Journal+of+Forest+Research%22">Canadian Journal of Forest Research</searchLink>. 4/27/2026, Vol. 56, p1-10. 10p.
– Name: Subject
  Label: Subject Terms
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  Data: <searchLink fieldCode="DE" term="%22Random+effects+model%22">Random effects model</searchLink><br /><searchLink fieldCode="DE" term="%22Sampling+%28Process%29%22">Sampling (Process)</searchLink><br /><searchLink fieldCode="DE" term="%22Prediction+models%22">Prediction models</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Small+area+statistics%22">Small area statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Clustering+algorithms%22">Clustering algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Independent+variables%22">Independent variables</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Previous studies recommend the empirical best linear unbiased predictor (EBLUP) for small-area estimation. However, EBLUP estimation requires at least one observation from each small area, while most of the areas may be non-sampled. One approach to overcome this problem is to predict the area-effects for the non-sampled areas with a model developed using the estimated area-effects from the sampled areas. Another approach is to cluster the small areas to larger groups and introduce a cluster-effect into the prediction model. We tested these approaches in a set of simulated small areas (domains). When observations from all or most domains were available, EBLUP with a domain-effect, or combined cluster- and domain-effect were the most reliable calibration methods. When the sampling fraction and the size of the domains were smaller, calibrating with the cluster-effect only was the most reliable method. Without any calibration, the model-based estimates for the domains with the highest volumes were severely underestimated. When observations were available, the EBLUP calibration improved the results in the high-end of the distribution. With the smallest sampling fractions and domains, also the predicted area-effects reduced the underestimation. However, the modelled area-effects were estimated from the population data, rather than from a sample. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Canadian Journal of Forest Research is the property of Canadian Science Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1139/cjfr-2025-0310
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 10
        StartPage: 1
    Subjects:
      – SubjectFull: Random effects model
        Type: general
      – SubjectFull: Sampling (Process)
        Type: general
      – SubjectFull: Prediction models
        Type: general
      – SubjectFull: Parameter estimation
        Type: general
      – SubjectFull: Small area statistics
        Type: general
      – SubjectFull: Clustering algorithms
        Type: general
      – SubjectFull: Independent variables
        Type: general
    Titles:
      – TitleFull: Model-based small-area estimation with area-effects for sampled and non-sampled domains.
        Type: main
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          Name:
            NameFull: Kangas, Annika
      – PersonEntity:
          Name:
            NameFull: Myllymäki, Mari
      – PersonEntity:
          Name:
            NameFull: Packalen, Petteri
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          Dates:
            – D: 27
              M: 04
              Text: 4/27/2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 00455067
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              Value: 56
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            – TitleFull: Canadian Journal of Forest Research
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