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University of Illinois at Urbana-Champaign

Network dual K function: Exact statistical methods for analyzing co-location on street networks

Abstract

dc:description

In many central districts in cities across the world, different types of retail outlets and service firms form clusters (i.e., co-location) for benefits of spatial agglomeration. To analyze such spatial phenomena, the cross K function has been widely used. However, this method and other existing methods are likely to be unsuitable for analyzing co-locations in a micro-scale space due to some limitations. To precisely analyze the micro-scale co-location, this dissertation develops a new statistical measure named network dual K function. Compared to the ordinary cross K function, the proposed method has distinctive features such as assuming network-constrained space and using an exact statistical formula for a test. This dissertation proposes a set of three methods of network dual K function: global, local, and incremental methods. Each method corresponds with Chapters 2, 3, and 4 of this dissertation. The proposed methods are applied to various types of stores in trendy districts in Tokyo to demonstrate the usefulness of the methods for studies on economic geography, and to improve the understanding of urban agglomeration. In addition, this research project highlights the significance of conducting network spatial analysis.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Geography
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2023

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Morioka, Wataru
Contributors dc:contributor
  • Kwan, Mei-Po
  • McLafferty, Sara
  • Cidell, Julie
  • Kolak, Marynia

Subjects

dc:subject × 3

Rights

dc:rights
Statement dc:rights
  • Copyright 2023 Wataru Morioka
Language dc:language
en, eng

Identifiers

dc:identifier.*
Handle dc:identifier
https://hdl.handle.net/2142/121228

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Morioka, Wataru. Network dual K function: Exact statistical methods for analyzing co-location on street networks. Dissertation thesis, University of Illinois at Urbana-Champaign, 2023. https://hdl.handle.net/2142/121228