Academic Journal
An operational classification of rural and urban areas based on Zipf's Law.
| Τίτλος: | An operational classification of rural and urban areas based on Zipf's Law. |
|---|---|
| Συγγραφείς: | Salvati, Luca1 (AUTHOR) luca.salvati@uniroma1.it, Alaimo, Leonardo Salvatore2 (AUTHOR) leonardo.alaimo@uniroma1.it, Muolo, Alessandro1,3 (AUTHOR) muolo.1916725@studenti.uniroma1.it |
| Πηγή: | Annals of Operations Research. Aug2026, Vol. 363 Issue 1, p685-703. 19p. |
| Θεματικοί όροι: | *Regional planning, *Land management, Zipf's law, Land settlement patterns, Cities & towns, Population statistics, Spatial arrangement |
| Γεωγραφικοί όροι: | Greece |
| Περίληψη: | In this study, we propose – likely for the first time in this context – a novel operational approach using Zipf's Law to distinguish between urban, rural, and intermediate areas in a given country. Traditionally, the classification of these areas has relied on demographic criteria or predefined socioeconomic thresholds, which are often not always adaptable to specific territorial dynamics. Our approach, instead, analyzes population size and spatial distribution in a given ensemble of territorial units, allowing for a more objective and accurate land classification. By testing two complementary methodologies across three different spatial scales (333, 1037, and 6126 spatial units) in Greece, we found that the intermediate scale (1037 municipalities) best captures economies of scale and agglomeration, providing a more precise representation of urban dynamics and rural districts. Our findings offer an innovative tool for policymakers, supporting more effective and informed spatial planning based on dynamic models rather than more subjective (threshold) criteria. Additionally, this approach enables a clearer identification of transitional areas between urban and rural regions (e.g. peri-urban districts), which have traditionally been difficult to classify operationally. The use of models verifying the rank-size rule for land classification purposes not only enhances the precision of territorial analysis but also provides a robust foundation for future investigations, and a new perspective for spatial data collection. Finally, the proposed method can be applied to similar contexts, expanding opportunities for improved land resource management. [ABSTRACT FROM AUTHOR] |
| Copyright of Annals of Operations Research is the property of Springer Nature 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.) | |
| Βάση Δεδομένων: | Business Source Index |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://dx.doi.org/doi:10.1007/s10479-025-06859-3 Name: EDS - Springer Nature Journals (s7799221) Category: fullText Text: View record at Springer – Url: https://resolver.ebsco.com/c/fiv2js/result?sid=EBSCO:bsx&genre=article&issn=02545330&ISBN=&volume=363&issue=1&date=20260801&spage=685&pages=685-703&title=Annals of Operations Research&atitle=An%20operational%20classification%20of%20rural%20and%20urban%20areas%20based%20on%20Zipf%27s%20Law.&aulast=Salvati%2C%20Luca&id=DOI:10.1007/s10479-025-06859-3 Name: Full Text Finder (for New FTF UI) (ns324271) Category: fullText Text: Full Text Finder MouseOverText: Full Text Finder |
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| Items | – Name: Title Label: Title Group: Ti Data: An operational classification of rural and urban areas based on Zipf's Law. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Salvati%2C+Luca%22">Salvati, Luca</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> luca.salvati@uniroma1.it</i><br /><searchLink fieldCode="AR" term="%22Alaimo%2C+Leonardo+Salvatore%22">Alaimo, Leonardo Salvatore</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> leonardo.alaimo@uniroma1.it</i><br /><searchLink fieldCode="AR" term="%22Muolo%2C+Alessandro%22">Muolo, Alessandro</searchLink><relatesTo>1,3</relatesTo> (AUTHOR)<i> muolo.1916725@studenti.uniroma1.it</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Annals+of+Operations+Research%22">Annals of Operations Research</searchLink>. Aug2026, Vol. 363 Issue 1, p685-703. 19p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Regional+planning%22">Regional planning</searchLink><br />*<searchLink fieldCode="DE" term="%22Land+management%22">Land management</searchLink><br /><searchLink fieldCode="DE" term="%22Zipf's+law%22">Zipf's law</searchLink><br /><searchLink fieldCode="DE" term="%22Land+settlement+patterns%22">Land settlement patterns</searchLink><br /><searchLink fieldCode="DE" term="%22Cities+%26+towns%22">Cities & towns</searchLink><br /><searchLink fieldCode="DE" term="%22Population+statistics%22">Population statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Spatial+arrangement%22">Spatial arrangement</searchLink> – Name: SubjectGeographic Label: Geographic Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Greece%22">Greece</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this study, we propose – likely for the first time in this context – a novel operational approach using Zipf's Law to distinguish between urban, rural, and intermediate areas in a given country. Traditionally, the classification of these areas has relied on demographic criteria or predefined socioeconomic thresholds, which are often not always adaptable to specific territorial dynamics. Our approach, instead, analyzes population size and spatial distribution in a given ensemble of territorial units, allowing for a more objective and accurate land classification. By testing two complementary methodologies across three different spatial scales (333, 1037, and 6126 spatial units) in Greece, we found that the intermediate scale (1037 municipalities) best captures economies of scale and agglomeration, providing a more precise representation of urban dynamics and rural districts. Our findings offer an innovative tool for policymakers, supporting more effective and informed spatial planning based on dynamic models rather than more subjective (threshold) criteria. Additionally, this approach enables a clearer identification of transitional areas between urban and rural regions (e.g. peri-urban districts), which have traditionally been difficult to classify operationally. The use of models verifying the rank-size rule for land classification purposes not only enhances the precision of territorial analysis but also provides a robust foundation for future investigations, and a new perspective for spatial data collection. Finally, the proposed method can be applied to similar contexts, expanding opportunities for improved land resource management. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Annals of Operations Research is the property of Springer Nature 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: 10.1007/s10479-025-06859-3 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 19 StartPage: 685 Subjects: – SubjectFull: Regional planning Type: general – SubjectFull: Land management Type: general – SubjectFull: Zipf's law Type: general – SubjectFull: Land settlement patterns Type: general – SubjectFull: Cities & towns Type: general – SubjectFull: Population statistics Type: general – SubjectFull: Spatial arrangement Type: general – SubjectFull: Greece Type: general Titles: – TitleFull: An operational classification of rural and urban areas based on Zipf's Law. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Salvati, Luca – PersonEntity: Name: NameFull: Alaimo, Leonardo Salvatore – PersonEntity: Name: NameFull: Muolo, Alessandro IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: Aug2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 02545330 Numbering: – Type: volume Value: 363 – Type: issue Value: 1 Titles: – TitleFull: Annals of Operations Research Type: main |
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