Modeling temporal change in flow matrices

Peter A. Rogerson, David Plane

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

Regional analysts are often faced with the task of forecasting future flows. The ability to carry out such a task is often limited to a reliance on either a Markovian assumption or other techniques that use only one or two observed flow matrices. This paper explores alternative methods that may be used to combine the information contained in an observed temporal sequence of flow matrices. Information theoretic principles, lag structures, and constant causative matrix operators are among the techniques discussed. These methods are applied and evaluated using inter-regional migration flow data for the United States.

Original languageEnglish (US)
Pages (from-to)147-164
Number of pages18
JournalPapers of the Regional Science Association
Volume54
Issue number1
DOIs
StatePublished - Dec 1984

Fingerprint

matrix
modeling
migration
ability
method

ASJC Scopus subject areas

  • Geography, Planning and Development
  • Environmental Science (miscellaneous)
  • Earth and Planetary Sciences(all)
  • Environmental Science(all)

Cite this

Modeling temporal change in flow matrices. / Rogerson, Peter A.; Plane, David.

In: Papers of the Regional Science Association, Vol. 54, No. 1, 12.1984, p. 147-164.

Research output: Contribution to journalArticle

@article{b8e8192f96ec47888dd19ce9cc6bad06,
title = "Modeling temporal change in flow matrices",
abstract = "Regional analysts are often faced with the task of forecasting future flows. The ability to carry out such a task is often limited to a reliance on either a Markovian assumption or other techniques that use only one or two observed flow matrices. This paper explores alternative methods that may be used to combine the information contained in an observed temporal sequence of flow matrices. Information theoretic principles, lag structures, and constant causative matrix operators are among the techniques discussed. These methods are applied and evaluated using inter-regional migration flow data for the United States.",
author = "Rogerson, {Peter A.} and David Plane",
year = "1984",
month = "12",
doi = "10.1007/BF01940130",
language = "English (US)",
volume = "54",
pages = "147--164",
journal = "Papers in Regional Science",
issn = "1056-8190",
publisher = "Wiley-Blackwell",
number = "1",

}

TY - JOUR

T1 - Modeling temporal change in flow matrices

AU - Rogerson, Peter A.

AU - Plane, David

PY - 1984/12

Y1 - 1984/12

N2 - Regional analysts are often faced with the task of forecasting future flows. The ability to carry out such a task is often limited to a reliance on either a Markovian assumption or other techniques that use only one or two observed flow matrices. This paper explores alternative methods that may be used to combine the information contained in an observed temporal sequence of flow matrices. Information theoretic principles, lag structures, and constant causative matrix operators are among the techniques discussed. These methods are applied and evaluated using inter-regional migration flow data for the United States.

AB - Regional analysts are often faced with the task of forecasting future flows. The ability to carry out such a task is often limited to a reliance on either a Markovian assumption or other techniques that use only one or two observed flow matrices. This paper explores alternative methods that may be used to combine the information contained in an observed temporal sequence of flow matrices. Information theoretic principles, lag structures, and constant causative matrix operators are among the techniques discussed. These methods are applied and evaluated using inter-regional migration flow data for the United States.

UR - http://www.scopus.com/inward/record.url?scp=0021569438&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021569438&partnerID=8YFLogxK

U2 - 10.1007/BF01940130

DO - 10.1007/BF01940130

M3 - Article

VL - 54

SP - 147

EP - 164

JO - Papers in Regional Science

JF - Papers in Regional Science

SN - 1056-8190

IS - 1

ER -