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Re-urbanization of Population in the Tokyo Metropolitan Area:

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ROXY-index / Spatial-cycle Analysis for the Period 1947-2005

 

Tatsuhiko KAWASHIMA–, Atsumi FUKATSUυ and Noriyuki HIRAOKAφ

 

 

Contents

1 Introduction

2 Spatial Cycles

3 ROXY Index

4 Empirical Analysis

5 Findings

6 Conclusion

References, Appendices

 

 

Abstract

The four major stages of the spatial-cycles are quantitatively examined, by use of the Japan's population census data extending over the past sixty years (for the period 1947-2005), for the Tokyo Metropolitan Area and its five major railway-line regions.  The spatial-cycle hypothesis constructed by Klaassen and the method of the Roxy-index analysis developed by the first author, are applied to our investigation.  The results obtained clearly illuminate the recent trend of the re-urbanization of the population in the Tokyo Metropolitan Area as a whole and its five major railway-line regions as well.  This would imply that the core-area part of the Tokyo Metropolitan Area will play an increasingly critical role in the future urban policies of Japan.  Among other findings is the possible existence of the metropolitan (or urban) spatial cycles of the estimated length of the period of 80100 years.

 

Keywords

Centralization, Klaassen, Metropolitan Area, Re-urbanization, Revived Centralization

Roxy Index, and Spatial Cycles

 

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1 Introduction

In this paper, the four stages of the spatial cycles are quantitatively examined for (1) the Tokyo Metropolitan Area‚Pj as a whole and (2) its five major railway-line regions.  As analytical tools for our study, Klaassen's spatial-cycle hypothesis and Kawashima's ROXY-index method are applied, while our population data for the above-mentioned six urban spatial systems cover the period of the nearly sixty years from 1947 through 2005.

 

In the following, the basic scheme of Klaassen's spatial-cycle hypothesis is explained in Section 2, and the primary characteristics of the ROXY-index method are illustrated in Section 3.  In Section 4, the empirical analysis is carried out for the six urban spatial systems to gain a better understanding of the spatial redistribution processes of the population in large metropolitan areas.  Some research findings are shown in Section 5.  In the concluding remarks in Section 6, rough thoughts of the authors on the mechanism of the urban transformation is given.

  

2 Spatial Cycles

The original framework of Klaassen's spatial-cycle paradigm‚Qj for the intra-metropolitan spatial systems (i.e. the spatial systems formed within agglomeration) is described by Figure 1.  A revised version of this scheme argues the existence of the four major recursively transmuting stages along the spatial-cycle path as shown by Table 1.  The four major stages are: ‡@ accelerating centralization, ‡A decelerating centralization, ‡B accelerating decentralization, and ‡C decelerating decentralization.  We use, in what is discussed below, the term erevived accelerating centralizationf (or, simply ere-centralizationf or ere-urbanizationf) to indicate the phenomenon of the re-entry of the spatial-cycle path into the accelerating centralization stage from the decelerating decentralization stage as shown by Table 2.  In addition, the terms of espatial cyclesf and eurban cyclesf are interchangeably used.

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3 ROXY Index

The ROXY index‚Rj is an indicative instrument to quantitatively identify the major stages of the spatial cycles.  This index can be used in conducting both of the intra-metropolitan analysis and inter-metropolitan analysis to study the spatial agglomeration and deglomeration processes. 

 

The standard mathematical formulation to define the ROXY index is given by Table 3.  We apply to our study the two variations of this standard definition.  One is for the case in which we set the weighting factor of gcore-city = 0, suburbs = 1h as shown by Table 4, while the other is, as shown by Table 5, for the case in which we set the weighting factor of gthe CBD distanceh for each of the spatial units which constitute a specific urban spatial system‚Sj under investigation.  The former weighting factor is used in the spatial-cycle analysis for the Tokyo Metropolitan Area as a whole, while the latter is used for each of the five major railway-line regions in that metropolitan area.

 

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Based on Tables 4 and 5, we can draw Figure 2 which displays Klaassen's spatial-cyclic path in the form of a wavelike-cyclic curve.  It should be noted that the abscissa and ordinate indicate the time and ROXY-index value (ROXY) respectively, and that the upper part of the ordinate carries the negative sign.  As can be seen from Figure 2, the value of the ROXY index turns out to be:

 

(1) negative and decreasing, for the stage of accelerating centralization (AC),

(2) negative and increasing, for the stage of decelerating centralization (DC),

(3) positive and increasing, for the stage of accelerating decentralization (AD),

(4) positive and decreasing, for the stage of decelerating decentralization (DD),

(5) negative and decreasing, for the stage of revived accelerating centralization (RAC), and

(6) zero (more appropriately, at or in the vicinity of the value zero), for the stage at which the spatial redistribution process is neutral‚Sj.

 

 

On the other hand, also from Tables 4 and 5, we can draw Figure 3 which displays the spatial-cyclic path in the form of a circular-cyclic curve.  In this figure, the abscissa and ordinate respectively indicate the ROXY-index value (ROXY) and the marginal value of the ROXY index with respect to time (ƒ’ROXY/ƒ’T).  It should be noted for the graph in Figure 3 that the upper part of the ordinate carries the negative sign so that the circular-cyclic curve can move in an anticlockwise direction as practiced in Klaassen's original framework shown by Figure 1.

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4 Empirical Analysis

4-1 Data and Setting

For our study, we use the Japan's population census data extending over the past sixty years for the period 1947-2005 (with 13 census-year points), for the Tokyo Metropolitan Area and its five major railway-line regions (i.e., Tokaido, Chuo, Takasaki, Joban and Sobu railway-line regions) as shown by Tables A1, A5, A9, A13, A17 and A21.  Figure 4 shows the geographical configuration of the six urban spatial systems together with the information on (1) the number of member localities constituting each of the six spatial systems that are the Tokyo Metropolitan Area and the Tokaido, Chuo, Takasaki.  Joban and Sobu railway-line regions, and (2) the distance length of each of the five railway-line regions.

 

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4-2 Results

For the six urban spatial systems, we calculate the ROXY-index values by going through those steps shown by Tables A2A4 for the Tokyo Metropolitan Area, A6A8 for the Tokaido railway-line region, A10A12 for the Chuo railway-line region, A14A16 for the Takasaki railway-line region, A18A20 for the Joban railway-line region, A22A24 for the Sobu railway-line region.‚Tj The obtained ROXY-index values are shown by Table 6.  Based on this table, we can draw the wavelike-cyclic curves and circular-cyclic curves of the spatial-cycle path for each of the six urban spatial systems as shown by Figures 516.

 

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5 Findings

The following are among the primary findings from our analysis.

(1) Re-centralization (i.e., re-urbanization)

The first arrival of the re-centralization stage‚Uj of spatial cycles for the Tokyo Metropolitan Area in the postwar 60 years, after passing through the stages of decelerating centralization, accelerating decentralization and decelerating decentralization.  This phenomenon would suggest that the core-area part of the Tokyo Metropolitan Area will significantly increase its important role in the future urban policies of Japan.

(2) Periodic length of 80100 years

There would possibly exist the urban spatial cycles with the estimated period of 80100 years as to the spatial redistribution processes of the population in the Tokyo Metropolitan Area.

(3) Clockwise spatial urban development

Rough tendency of the clockwise rotation in the gspatial urban developmenth is observed over the five major railway-line regions each of which radiates from the CBD of the Tokyo Metropolitan Area to its suburbs.‚Vj

 

6 Conclusion

Having conducted our analysis, we are now eager to detect the causal relationships, by assuming their existence nearly without doubt, that would substantially govern the spatial cycle processes.  This kind of feedback from the obtained outcomes of the empirical analysis to the construction of a new causality paradigm, should certainly be encouraged.  I would not want to discount to any degree the tremendous importance of this kind of scientific attitude through which we try to find the gexternal explaining variablesh controlling the path of spatial cycles.  However, at the same time, we wonder whether there are not a few phenomena for which we can not successfully discover any suitable external explaining variables, perhaps because there are no such external relations existing.  As for those phenomena, some insight might be gained that it would perhaps be appropriate for us to tackle such phenomena by suspecting the possible existence of a self-embedded mechanism within the phenomena that are administered by various sorts of internal urban genes which we can not easily manipulate externally.  This approach might sometimes contribute to open our minds to grasp the so-far-well-hidden but critical factors of such phenomena.  The more we have investigated the spatial cycle movements through the ROXY-index approach, the more we have become inclined to sense that the urban entity itself may have its own built-in urban genes to direct the urban dynamism, or its own internal self-organized mechanism to dictate the basic fate of spatial agglomeration and deglomeration transformation.

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References

 

Fukatsu A., and T. Kawashima, 1999, gUrbanization, Suburbanization and Revived-urbanization: ROXY-index Analysis for the Chuo-line Region of Tokyo,h Gakushuin Economic Papers (Gakushuin Daigaku Keizai Ronshuh), Vol.36, No.3, Gakushuin University, Tokyo.

Glickman N., 1979, The Growth and Management of the Japanese Urban System, Academic Press, New York, USA.

Hirvonen M., N. Hiraoka and T. Kawashima, 1999, gLong-term Urban Development of the Finnish Population: Application of the ROXY-index Analytical Method,h Gakushuin Economic Papers (Gakushuin Daigaku Keizai Ronshuh), Vol.36, No.2, Gakushuin University, Tokyo, pp.243- 263.

Klaassen L. H., and J. H. Paelinck, 1979, gThe Future of Large Towns,h Environment and Planning A, Vol.11, No.11, pp.1095-1104.

Klaassen L. H., J. A. Bourdrez and J.Volmuller, 1981, Transport and Reurbanization, Gower Publishing Company Limited, Hants, England.

Kawashima T., 1978, gRecent Urban Evolution Processes in Japan: Analysis of Functional Urban Regions,h presented at the Twenty-fifth North American Meetings of the Regional Science Association, Chicago, Illinois, USA, 1978.

Kawashima T., 1981, gUrbanization and Metropolitan Analysis,h Shin-toshi, Toshi Kyohkai, Tokyo, August 1981, pp.1-12 (in Japanese).

Kawashima T., 1982, gRecent Urban Trends in Japan: Analysis of Functional Urban Regions,h Human Settelement System: Spatial Patterns and Trends, T. Kawashima and P. Korcelli (eds.), International Institute for Applied Systems Analysis, Laxenburg, Austria.

Kawashima T., and N. Hiraoka, 1993, gMathematical Characteristics of ROXY Index (I): Distance and Reversed Distance Used as Weighing Factors,h Gakushuin Economic Papers (Gakushuin Daigaku Keizai Ronshu), Vol.30, No.2, Gakushuin University, Tokyo, pp.255-297.

Kawashima T., and N. Hiraoka, 1995, gROXY-index Analysis on the Spatial-cycle Path for Six Spatial Systems in Japan,h Gakushuin Economic Papers (Gakushuin Daigaku Keizai Ronshu), Vol.32, No.4, Gakushuin University, Tokyo, pp.201-255.

Kawashima T., and N. Hiraoka, 2001, gROXY Index Analysis of Spatial Cycles for Population Changes in Japan: Larger Metropolitan Areas and Smaller-and-Non-Metropolitan Areas,h Gakushuin Economic Papers (Gakushuin Daigaku Keizai Ronshu), Vol.37, No.3•4, Gakushuin University, Tokyo, pp.227-244.

Mitsubishi Research Institute, 1999, Toshikenbetsu Jinkou Suikei Chosa (Population Projections by Functional Urban Region), Tokyo (in Japanese).

 

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