### Abstract

Using data on per capita income of Japan's 47 prefectures between 1955 and 1997, this paper shows that one of the most popular measurements of convergence, σ-convergence, is not invariant with both transformation and definition of dispersion. Measured by the standard deviation, the actual per capita income has diverged, whereas measured by the coefficients of variation, it has converged since 1955. The log of per capita income and relative income of all prefectures to Tokyo, however, have converged regardless of the measurement of dispersion. In addition, through the estimation of density function and transition matrix, the intradistribution dynamics of each prefecture's per capita income is identified.

Original language | English |
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Pages (from-to) | 253-259 |

Number of pages | 7 |

Journal | Applied Economics |

Volume | 36 |

Issue number | 3 |

Publication status | Published - 2004 Feb 20 |

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### ASJC Scopus subject areas

- Economics and Econometrics

### Cite this

*Applied Economics*,

*36*(3), 253-259.

**The evolution of regional income distribution in Japan.** / Kang, Sung Jin.

Research output: Contribution to journal › Article

*Applied Economics*, vol. 36, no. 3, pp. 253-259.

}

TY - JOUR

T1 - The evolution of regional income distribution in Japan

AU - Kang, Sung Jin

PY - 2004/2/20

Y1 - 2004/2/20

N2 - Using data on per capita income of Japan's 47 prefectures between 1955 and 1997, this paper shows that one of the most popular measurements of convergence, σ-convergence, is not invariant with both transformation and definition of dispersion. Measured by the standard deviation, the actual per capita income has diverged, whereas measured by the coefficients of variation, it has converged since 1955. The log of per capita income and relative income of all prefectures to Tokyo, however, have converged regardless of the measurement of dispersion. In addition, through the estimation of density function and transition matrix, the intradistribution dynamics of each prefecture's per capita income is identified.

AB - Using data on per capita income of Japan's 47 prefectures between 1955 and 1997, this paper shows that one of the most popular measurements of convergence, σ-convergence, is not invariant with both transformation and definition of dispersion. Measured by the standard deviation, the actual per capita income has diverged, whereas measured by the coefficients of variation, it has converged since 1955. The log of per capita income and relative income of all prefectures to Tokyo, however, have converged regardless of the measurement of dispersion. In addition, through the estimation of density function and transition matrix, the intradistribution dynamics of each prefecture's per capita income is identified.

UR - http://www.scopus.com/inward/record.url?scp=1342288412&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1342288412&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:1342288412

VL - 36

SP - 253

EP - 259

JO - Applied Economics

JF - Applied Economics

SN - 0003-6846

IS - 3

ER -