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The Economic Impact of Administrative Annexation in Province, -----Spatial Filtering Perspective

Shaofei Chen ([email protected])  Melissa Rura ([email protected] )

1 6/2/2008 Statement of the Problem

 With the rapid development of China, here specifically the Jiangsu province, spatial patterns of administration such as metropolises and their extensions have been formed in past decades. Researchers have been more concerned about economic study on these static patterns instead of the change of regional governance.  Here we evaluate the impact of local administrative annexation in Jiangsu province from a spatial filtering perspective.

2 6/2/2008 Background

 The changes in city and county-level units’ administrative relationships have gone four stages in history after P. R. China was established. Here we consider the fourth stage.  From 2000 to 2002, a large scale adjustment was performed in Jiangsu. Prefecture -level cities annexed counties or county-level cities and transformed the latter as the urban districts of the former.

3 6/2/2008 Background

 Zhang and Wu (2006) discuss this issue from a public policy point of view. Although they state this reconsolidation had some positive impact on economic development, they question whether annexation positive because confliction still exist.  Brenner(1999) uses cases in EU to discuss this issue but because Chinese administrative structure and its political and economic regulation is unique, his result may not be suitable here.

4 6/2/2008 Research Question

 Has this wave of annexation resulted in a greater economic integration between central cities and peripheral areas?

 Will the change of economic development mechanism of the annexation regions differ from other places?

5 6/2/2008 Data

Prefecture-level Annexed county-level city units

Jiangning county city Luhe county Jiangpu county

Zhengjiang city Dantu county

Changzhou city Wujin city

Wuxi city Xishan city

Suzhou city Wuxian city

Yangzhou city Hanjiang county

Yancheng city Yandu county In order to analyze the efforts of Huaiying city annexation, this study collected data before Huaian city Huaiying county the transition (1999) and after the transition (2003 and 2004). city Suyu county

6 6/2/2008 Model and Variables

 Using the Douglas production function (see Yu, 2006), modify the model to represent the regional development mechanism.

ε ln( β pGDP β β i )=+β β 01 *ln( pFIXINVi ) + 2 *ln( pFDI i ) + 3 *ln( pTSRS i ) + 4 *ln( pFINEXP i ) +  pGDP: GDP (Gross Domestic Product) Per capital  pFIXINV: fixed asset investment Per capital  pFDI: foreign direct investment Per capital  pTSRS: total social retail sales Per capital  pFINEXP: local financial expense Per capital

7 6/2/2008 Spatial Filtering

 Eigenvector spatial filtering extends a conventional regression equation by including orthogonal synthetic variables capturing map patterns that account for latent spatial autocorrelation in data.  Constructed as linear combinations of eigenvectors extracted from a geographic connectivity matrix, defined in terms of adjacency or distance, representing the spatial structure of a dataset.  Spatial filtering with covariate maps, includes interaction terms between eigenvectors and all covariates, as well as the intercept.

8 6/2/2008 Link Matrix and Eigenvectors

ABCD A 0 1 1 0

B 1 0 0 1

C 1 0 0 1 D 0 1 1 0 The eigenvectors are calculated from

(I – 11 T/n) C(I – 11 T/n)

9 6/2/2008 Spatial Filtering with Coefficient Maps – Normal Linear Model

(Tiefelsdorf and Griffith, 2007)

Spatial filters

10 6/2/2008 Spatial filter theorem

 Eigenvectors are extracted from a spatial link matrix exhibit distinctive spatial patterns with associated spatial autocorrelation levels. Furthermore, these eigenvectors are mutually orthogonal and uncorrelated.  The linear combination of the chosen eigenvectors captures the hidden spatial pattern in a stochastic component of a model.

P K

Y = β 0 1 + ∑ X pβ p + ∑Ekβ E + ε k p=1 k=1

11 6/2/2008 GWR and its critique

yi = β 0 (ui ,vi ) + ∑ β k (ui ,vi )xik +ε i k ˆ T −1 T b(u i ,vi ) = (X W(ui ,vi )X) X W(ui ,vi )y 1 exp[ − (d / b) 2 ] 2 ij

2 2 [1− (dij / b) ] if d ij < b

Otherwise W ( u i , v i ) =0

 Problems related with GWR:  1. high levels of multicollinearity amongst estimates (Wheeler and Tiefelsdorf, 2005)  2. loss of degrees of freedom (Griffith, 2008 in press)

12 6/2/2008 SF-GWR P K  Y = β0 1 + ∑ X pβ p + ∑Ekβ E + ε conventional SF model k p=1 k=1

P ˆ (Griffith, 2008 in press) Y = β0, GWR + ∑Xp • βp., GWR p=1

K0 P Kp

≈ (β0 1+ ∑Ek βk ) + ∑(βp 1+ ∑Ek βk ) •Xp , 0 0 p p k0 =1 p=1 kp =1

P K P K

Y = β 0 1 + ∑ X p • 1β p + ∑Ekβ E + ∑∑ Xp • Ekβ pE + ε k k p=1 k=1 p=1 k =1

global effects local effects

13 6/2/2008 Results

 R-Square (Compare with GWR)

OLS SF-GWR GWR.gauss GWR.bi-sqaure

1999 0.8792 0.9451 0.8953 0.8962

2003 0.9349 0.9685 0.9609 0.9501

2004 0.9308 0.971 0.9361 0.9336

14 6/2/2008 Result

15 6/2/2008 Result

not significant

16 6/2/2008 Result

17 6/2/2008 Result

not significant

18 6/2/2008 Result

not significant not significant

19 6/2/2008 Result

99-03FDI 99-04FDI 99-03FIX 99-04FIX Zhengjiang City 97.25 -54.12 14.18 33.35 Nanjing City 79.97 -25.52 17.55 95.55 Dantu County 121.1 -18.93 14.59 91.55 Jiangning City 90.66 -36.35 13.63 75.80 Danyang City 127.95 -29.85 7.31 40.34 Jiangpu County 78.46 -48.62 15.00 48.67 City 54.95 -1.28 38.04 88.33 Luhe County 64.58 -49.26 17.59 45.52 Jurong City 120.68 -20.96 8.45 100 Lishui City 105.30 -38.35 10.09 67.64 City 51.32 -47.52 29.09 50.07 Gaochun City 97.47 -50.56 10.82 39.11 Hanjiang City 22.36 -26.91 38.63 80.35 City 144.06 -44.06 -23.40 -88.62 109.41 -95.24 -13.60 -38.04 Xishan City 183.70 -42.04 -42.67 -168.95 Yizhen City 45.25 -39.4 25 64.74 City 174 -43.27 -28.63 -130.57 City 44.18 -48.01 27.37 51.23 City 129.68 -38.86 -9.39 -7.53 Jiangdu City -32.23 -8.83 54.48 101.62

Changzhou City 129.75 -51.23 -4.31 -37.58 City 124.31 -88.18 -18.61 -54.71 Wujin City 169 -27.18 -25.1 -68.64 Yandu County 125.46 -90.61 -21.08 -61.28 Jingtan City 145.98 -23.73 -4.24 48.28 84.99 -143.98 0.17 -6.24 City 121.6 -33.25 2.64 59 Binghai County 108.92 -125.96 -13.58 -35.12 City 120.45 -55.39 -4.77 -51.72 Funing County 120.48 -139.19 -29.96 -66.05 Wuxian City 165.26 -46.12 -34.66 -151.94 131.98 -107.61 -31.49 -78.46 Zhangjianggang 162.78 -50.88 -20.04 -103.61 131.23 -111.63 -36.01 -84.22 City 154.85 -50.11 -21.06 -111.64 City 15.6 -46.99 39.93 46.71 Wujiang City 120.45 -55.39 -4.77 -51.72 Dafeng City 108.08 -78.23 -2.08 -27.52 City 135.79 -55.35 -5.66 -56.39 Huaian City 113.8 -139.3 -26.5 -56.24 City 187.48 -45.89 -38.63 -170.98 Huaiying County 57.39 -141.90 11.42 17.98 Suqian City 51.36 -60 24.54 35.48 Huaiying City 95.29 -123.3 -4.55 -13.79 Suyu County -136.75 -65 60.12 103.97 Hongze County 102.66 -97.22 -6.49 -20.64 Suyang County -127.13 -195.17 53.63 97.58 Xuyu County 78.65 -67.19 13.53 15.44 -11.84 -95.68 38.99 66.51 Jinghu County 88.22 -71.75 6.75 4.04 6.06 -55.05 37.41 60.38

20 6/2/2008 Conclusion

 Spatial filtering model is a powerful analysis tool to study regional sciences.  It furnishes a way to include non-spatially varying coefficients, such as regional indicator variables or gradient (i.e., trend surface) components.  In this study, it reveals that the administrative annexations happened in Jiangsu province are mostly for political reasons. The changes of those areas are not significant.

21 6/2/2008 References

 Brenner, N. (1999) Globalization as reterritorialisation: the re-scaling of urban governance in the European Union, Urban Studies 36, 431–452  Griffith, D. A. (2008) Spatial filtering-based contributions to a critique of geographically weighted regression (GWR), Environment and Planning A, forthcoming  Tiefelsdorf, M. and Griffith, D. A. (2007) Semiparametric filtering of spatial autocorrelation: the eigenvector approach, Environment and Planning A , 39 (1), 193 - 1221  Wheeler , D. and Tiefelsdorf, M. (2005), Multicollinearity and correlation among local regression coefficients in geographically weighted regression. Journal of Geographic Systems 7: 161 -187  Yu, D.L. (2006) Spatially varying development mechanisms in the Greater Beijing Area: a geographically weighted regression investigation, Ann Reg Sci 40:173–190  Zhang, J.X. and Wu, F.L. (2006) China’s Changing Economic Governance: Administrative Annexation and the Reorganization of Local Governments in the Yangtze River Delta, Regional Studies, 40(1), 3–21

22 6/2/2008 Thank you very much! Any questions?

23 6/2/2008