A Regional Core, Adjacent, Periphery Model for National Economic Geography Analysis



14

more than one adjacent and one periphery region is defined as a CAP cluster, which is
mathematically expressed as: 7

AP

CAPj = Cj Aj Pj (ΘcpΘcaΘap ) = 0                         (10)

j =1         j =1

where, CAPj represents a core, and a cluster of j adjacent, and periphery regions. These region types
are symbolised by:
Cj core, Aj adjacent, Pj periphery. Distance from the core is represented by the
symbol
θ. The expression in brackets states that the distance from the core to the periphery θCP is
greater than the distance from the core to the adjacent
θCA, and the distance from the adjacent to the
periphery
θAP is greater than, or equal to the distance from the core to the adjacent. The symbol
0 indicates that the regions are non-overlapping.

The CAP cluster is a multi-region CAP model. The number of first and second ring regions
around the core agglomerate determines the number of regions in the cluster. For example, if a core
agglomerate is contiguous to one adjacent and one periphery region such that
j = 1 for both Aj and Pj,
this results in a basic three-region CAP cluster, as illustrated in Diagram 1. On the other hand, if a core
region is surrounded by three adjacent regions and two periphery regions, then
Aj = 3, and Pj = 2, this
would provide us with a six-region model, with economic interaction occurring between the regions
due to their geographic proximity.

A multi-region country, Ui, can consist of a number of CAPj clusters, each with a varying
number of regions. An individual country then becomes the sum of its
CAPj clusters, expressed as
follows:

CAP        C       A       P

Ui =CAPj =CjAjPj(θCP >θCAθAP)=0         (10a)

j =1             j =1         j =1         j =1

7Equation (10) is developed from equation (9). Each CAP cluster is a union of administrative regions around a core region
that form a non-overlapping collective.



More intriguing information

1. The Values and Character Dispositions of 14-16 Year Olds in the Hodge Hill Constituency
2. The name is absent
3. LAND-USE EVALUATION OF KOCAELI UNIVERSITY MAIN CAMPUS AREA
4. The name is absent
5. A Study of Adult 'Non-Singers' In Newfoundland
6. The name is absent
7. PROPOSED IMMIGRATION POLICY REFORM & FARM LABOR MARKET OUTCOMES
8. Distortions in a multi-level co-financing system: the case of the agri-environmental programme of Saxony-Anhalt
9. The purpose of this paper is to report on the 2008 inaugural Equal Opportunities Conference held at the University of East Anglia, Norwich
10. Existentialism: a Philosophy of Hope or Despair?
11. The name is absent
12. The name is absent
13. Parent child interaction in Nigerian families: conversation analysis, context and culture
14. Behaviour-based Knowledge Systems: An Epigenetic Path from Behaviour to Knowledge
15. The name is absent
16. Tax Increment Financing for Optimal Open Space Preservation: an Economic Inquiry
17. TRADE NEGOTIATIONS AND THE FUTURE OF AMERICAN AGRICULTURE
18. The name is absent
19. Visual Artists Between Cultural Demand and Economic Subsistence. Empirical Findings From Berlin.
20. Brauchen wir ein Konjunkturprogramm?: Kommentar