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Urban growth effects on rural population, export and service employment: evidence from eastern France

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Abstract

This paper examines how the spatial pattern of urban growth in functional economic regions influences the interplay of rural export employment, rural services employment, and population change in rural areas. Using an extension of the Boarnet’s model (Papers in Regional Science 73:135–153, 1994), we find that urban spread effects to rural areas in France are more likely than urban backwash effects, and that spatial urban (both dynamic and static) externalities affect rural population and employment growth. In the functional economic regions where the urban core is declining and the urban fringe is expanding, urban population growth involves an increase in rural export employment, and larger change in service employment favors rural population growth. However, urban export job growth reduces the growth in rural service jobs and expanding urban service jobs reduce rural export jobs, suggesting that expanding urban employment opportunities draws employees away from proximate rural communities. Conversely, where both urban core and fringe are growing, we observe an urban spread effect from the urban export sector to rural services—an export base multiplier effect with a spatial dimension—and from urban population growth to rural service employment.

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Notes

  1. W matrices using a 15- or 30-km commute between cantons and distance decay parameters were used in alternative model estimates. Empirical results were most robust for the row-standardized W matrix over the 30-km commute range. Furthermore, we estimate models with alternative W matrices (row-standardized and nonrow standardized) to test for spatial autocorrelation in the error term as discussed in the “Estimation results” section.

  2. The term (\(\theta _{2} + \theta _{3} h_{1} + \theta _{4} h_{2}\)) corresponds to the following linear combination of parameters and mean values: [\(0.058 + {\left( {0.000142* - 3.99} \right)} + {\left( { - 0.00094*6.93} \right)}\)]=0.051, with h 1=−3.99 and h 2=6.93 from Table 1 and θ 2=0.058, θ 3=1.42 E−04, and θ 4=−9.4 E−04 from table 2 reported in Appendix 2. Its joint t value is computed using variance computed as follows: var \({\left( {\theta _{2} + \theta _{3} h_{1} + \theta _{4} h_{2} } \right)} = s_{{22}} + 2g_{1} s_{{23}} + g^{2}_{1} s_{{33}} + 2g_{2} s_{{24}} + g^{2}_{2} s_{{44}} + 2g_{1} g_{2} s_{{34}}\), where s ij are elements in the variance/covariance matrix because (\(\theta _{2} + \theta _{3} h_{1} + \theta _{4} h_{2}\)) is a linear combination of parameter estimates (see Aiken and West 1991, pp. 24–26).

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Acknowledgements

The authors are grateful to P-Y Péguy and to participants to the North American Meetings of the RSAI, as well as the three anonymous referees for their helpful comments and suggestions.

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Correspondence to Bertrand Schmitt.

Appendix

Appendix

1.1 FER delineation and canton selection

For defining the FERs, we used a hierarchical classification based on commuting flows between communes (1990 Census data). The link between each couple of communes (A, B) is calculated as:

$$Link{\left( {A,B} \right)} = {Commuting\;flow{\left( {A \to B} \right)}} \mathord{\left/ {\vphantom {{Commuting\;flow{\left( {A \to B} \right)}} {Pop{\left( A \right)} + {Commuting\;flow{\left( {B \to A} \right)}} \mathord{\left/ {\vphantom {{Commuting\;flow{\left( {B \to A} \right)}} {Pop{\left( B \right)}}}} \right. \kern-\nulldelimiterspace} {Pop{\left( B \right)}}}}} \right. \kern-\nulldelimiterspace} {Pop{\left( A \right)} + {Commuting\;flow{\left( {B \to A} \right)}} \mathord{\left/ {\vphantom {{Commuting\;flow{\left( {B \to A} \right)}} {Pop{\left( B \right)}}}} \right. \kern-\nulldelimiterspace} {Pop{\left( B \right)}}}$$

It allows taking into account for double relationships between communes. After classification, the 4,084 communes making up the six selected regions are grouped into 414 FERs. Each FER has an urban core (the greatest urban unit of the FER), an urban fringe (all the communes that send more than 30% out of their active residents working in the urban core and fringe), a rural hinterland (all the other communes).

In contrast to previous studies (Schmitt and Henry, 2000), we cannot use the commune level in this paper because the employment division between export and services employment uses data from a one-fourth sample of the French census. The reliability of data is not sure under a threshold of 2,000 people and 4,007 communes among the 4,084 introduced in the analysis having less than 2,000 inhabitants. Thus, we used the canton level that is an intermediate administrative level. In our 414 FERs, there are 482 cantons where more than 2,000 inhabitants live and where at least one commune belongs to the rural hinterland. Among these, there are 225 cantons of which more than 50% of their population live in the rural hinterland. After eliminating cantons, which belong to FERs having a small urban core (less than 5,000 people), only 191 cantons can be introduced in the analysis.

These 191 cantons belong to 64 FERs, of which some main characteristics are given in Table 1 below. Our analysis takes into account a large part of the land area of the six selected regions (about 50%) and a large part of their rural hinterland population. Furthermore, we focus on the rural hinterland related to large and medium-sized cities: 37 FERs have a core size larger than 20,000 inhabitants, and 27 FERs have between 5,000 and 20,000 inhabitants. This corresponds to the largest and medium-sized FERs: their mean size is 140,000 inhabitants but with a large standard deviation (about 260,000). Our analysis tends to exclude many small FERs or/and FERs with small rural hinterland.

Table 1 Comparison between FERs included in the analysis and FERs excluded to the analysis.

 

FERs with rural hinterland <5,000 inhabitants

FERs with rural hinterland ≥5,000 inhabitants

All the FERs

Mean

SD

Mean

SD

Mean

SD

FERs with urban core <5,000 inhabitants

      

 With cantons included in the analysis

Number of FERs

0

0

0

 Without cantons included in the analysis

Number of FERs

206

18

224

Population in FER

4,092

2,446

10,770

2,373

4,628

3,040

FER land area (ha)

14,667

11,341

37,891

19,945

16,533

13,733

FERs with urban core between 5,000 and 20,000 inhabitants

 With cantons included in the analysis

Number of FERs

5

22

27

Population in FER

19,353

4,844

24,942

8,597

23,907

8,258

FER land area (ha)

50,025

28,454

71,344

31,440

67,396

31,531

 Without cantons included in the analysis

Number of FERs

63

27

90

Population in FER

13,802

5,780

24,804

12,746

17,103

9,820

FER land area (ha)

23,150

14,313

49,259

29,612

30,983

23,316

FERs with urban core ≥20,000 inhabitants

 With cantons included in the analysis

Number of FERs

0

37

37

Population in FER

221,037

314,693

221,037

314,693

FER Land Area (ha)

190,313

129,522

190,313

129,522

 Without cantons included in the analysis

Number of FERs

13

23

36

Population in FER

46,161

17,049

118,503

72,689

92,380

68,284

FER land area (ha)

36,662

20,352

86,461

46,640

68,478

45,802

Total FERs

       

 With cantons included in the analysis

Number of FERs

5

59

64

Population in FER

19,353

4,844

147,917

265,785

137,873

257,383

FER land area (ha)

50,025

28,454

145,952

118,900

138,458

117,217

 Without cantons included in the analysis

Number of FERs

282

68

350

Population in FER

8,201

10,499

52,781

63,811

16,862

34,387

FER land area (ha)

17,576

13,665

58,833

39,652

25,592

26,822

1.2 Estimation results

The first two columns in Tables 1, 2, and 3 reported below are parameter estimates for observations on rural cantons in FERs with a declining urban core and the next two are for rural cantons in FERs with a growing urban core. First, consider the proximity and amenity effects and impacts of earlier growth (from 1975 to 1982). Since the impact of urban spatial externalities on rural communities can be expected to decay with distance from the urban core, more remote rural villages (greater distance and/or no autoroute access), can be expected to grow slower than villages proximate to urban cores. Alternatively, villages with lower quality amenities are expected to grow more slowly than their more appealing counterparts.

We find few strong proximity or amenity effects on rural population. In each regression in Table 1 reported below, larger increases in the rural canton population over the 1975 to 1982 period (VDP7582) are associated with more rural people from 1982 to 1990. Since the natural balance (births less deaths, NATBAL_P) is a control variable, these population changes can be viewed as a result of in- or out-migrants.

In Table 2, the determinants of rural export employment growth indicate that again only a handful of amenities and initial conditions matter. Rural cantons that had more prior period growth (VDO7582) tended to have less export employment growth. However, larger beginning period export employment (DOTHE82) increased export employment (the parameter estimate in Table 1 reported below is multiplied by −1, as indicated in Eq. 4b). Higher initial period unemployment rates (RCHOM82) also tended to boost export employment growth. Increasing distance to the nearest urban area with more than 200,000 residents (DAGGLO) increases export employment in rural cantons.

In Table 3, we find that larger beginning period service sector employment (DSHOP82) decreases rural canton service employment (again the parameter is multiplied by −1 as shown in Eq. 4c). Moreover, in FERs with growing urban cores, prior period service employment growth (VDS7582) slows rural service employment growth. Higher density tourist accommodations (DCAPAC80) also slow subsequent serves sector employment.

Table 1 Estimation results for rural population change equation

 

Cantons belonging to FERs with declining urban core

Cantons belonging to FERs with growing urban core

Variable

Parameter

t

Parameter

t

N

84

107

INTERCEP

−2.177

−0.88

−8.478

−1.75

DPOP82

−0.017

−0.55

0.076

1.43

DPBAS90C

−0.092

−0.76

0.158

1.00

D2PBA90C

0.001

0.55

−0.001

−0.47

NATBAL_P

−0.090

−1.33

0.068

0.54

DEQU80S

−2.738

−0.67

−0.525

−0.08

DIAUTORO

−0.001

−0.22

0.014

0.90

SCHO80D

0.055

0.83

−0.068

−0.59

HOSP80D

−0.035

−0.82

−0.077

−0.99

INCOM84

0.047

1.20

0.115

1.79

VDP7582

0.291

1.69

0.318

1.29

DWOTH82 (δ2)

0.027

0.15

−0.221

−0.61

DWOTHF1 (δ3)

0.002

0.48

−0.015

−1.38

DWOTHF2 (δ4)

0.001

0.24

0.004

1.15

WVDOTH (δ5)

−0.787

−1.02

3.584

2.13

WVDOF1 (δ6)

−0.035

−0.76

−0.003

−0.03

WVDOF2 (δ7)

0.006

0.22

−0.080

−1.31

DWSHO82 (δ8)

0.195

0.67

1.094

1.00

DWSHOG1 (δ9)

−0.007

−0.74

−0.045

−1.13

DWSHOG2 (δ10)

0.002

0.38

−0.020

−0.82

WVDSHO (δ11)

1.302

1.04

−2.082

−0.43

WVDSG1 (δ12)

0.046

0.43

0.101

0.47

WVDSG2 (δ13)

0.004

0.11

0.107

0.77

Adj. R 2

0.57

0.75

Sargan test (Qs)

χ2(14)=18.27

χ2(15)=4.88

Exogeneity test

F(10,50)=0.24

F(10,73)=0.64

I−Moran: W c

0.220

1.05

−0.274

1.17

W 30

−0.075

0.54

−0.096

0.52

W d

−0.028

0.75

−0.019

0.60

  1. Entries in boldface indicate significance at the .10 level

Table 2 Estimation results for rural export sector employment change equation

 

Cantons belonging to FERs with declining urban core

Cantons belonging to FERs with growing urban core

Variable

Parameter

t

Parameter

t

N

84

107

INTERCEP

−1.055

−1.12

−4.486

−1.90

DOTHE82

−0.267

−4.87

−0.066

−1.08

DPBAS90C

0.048

0.70

0.056

0.71

D2PBA90C

−0.001

−0.70

−0.001

−1.04

DAGGLO

0.012

2.03

0.011

0.93

DIAUTORO

0.001

0.13

0.006

0.60

NOBLU82

0.008

0.69

0.002

0.09

SKIWO82

−0.004

−0.99

0.003

0.86

SELFJ82

−0.003

−0.33

0.000

0.01

RCHOM82

−0.070

−1.17

0.253

2.16

VDO7582

−0.425

−1.86

−0.170

−0.55

DWPOP82 (θ2)

0.058

1.69

0.057

1.21

DWPOPH1 (θ3)

0.000

0.08

0.000

0.07

DWPOPH2 (θ4)

−0.001

−0.84

−0.003

−1.51

WVDPOP (θ5)

0.298

0.69

0.236

0.36

WVDPH1 (θ6)

0.010

0.17

−0.054

−1.11

WVDPH2 (θ7)

0.008

0.31

0.010

0.34

DWSHO82 (θ8)

−0.193

−1.10

−0.456

−0.75

DWSHOG1 (θ9)

0.005

0.78

0.006

0.17

DWSHOG2 (θ10)

−0.001

−0.41

0.016

1.54

WVDSHO (θ11)

−0.438

−0.61

0.332

0.08

WVDSG1 (θ12)

−0.082

−1.26

0.131

0.58

WVDSG2 (θ13)

0.043

1.87

−0.098

−1.76

Adj. R 2

0.48

0.25

Sargan test (Qs)

χ2(14)=10.02

χ2(15)=21.59

Exogeneity test

F(10,50)=0.99

 

F(10,73)=2.36

I−Moran: W c

−0.091

0.28

−0.134

0.93

W 30

−0.164

0.88

−0.129

1.05

W d

−0.042

0.99

−0.036

1.28

  1. Entries in boldface indicate significance at the .10 level

Table 3 Estimation results for rural service sector change equation

 

Cantons belonging to FERs with declining urban core

Cantons belonging to FERs with growing urban core

Variable

Parameter

t

Parameter

t

N

84

107

INTERCEP

1.206

1.31

−1.981

−1.99

DSHOP82

0.415

3.46

0.164

2.40

DPBAS90C

−0.030

−0.47

0.046

1.16

D2PBA90C

0.000

0.19

−0.001

−0.85

DAGGLO

0.003

0.50

0.001

0.23

DIAUTORO

0.001

0.18

0.007

1.54

DCAPAC80

−0.028

−1.90

−0.008

−1.55

NOBLU82

0.002

0.14

0.001

0.06

SKIWO82

−0.003

−1.03

0.000

0.12

SELFJ82

−0.007

−0.53

0.007

1.24

RCHOM82

−0.032

−0.56

0.021

0.47

VDS7582

−0.005

−0.02

−0.359

−2.12

DWPOP82 (τ2)

0.006

0.17

−0.007

−0.42

DWPOPH1 (τ3)

0.001

0.68

0.002

1.20

DWPOPH2 (τ4)

0.001

0.96

−0.001

−1.53

WVDPOP (τ5)

0.470

1.74

0.474

1.76

WVDPH1 (τ6)

0.006

0.11

−0.042

−2.00

WVDPH2 (τ7)

−0.050

−1.94

−0.003

−0.27

DWOTH82 (τ8)

−0.176

−0.96

0.086

1.69

DWOTHF1 (τ9)

−0.004

−1.14

0.002

0.76

DWOTHF2 (τ10)

0.002

1.02

0.001

0.71

WVDOTH (τ11)

−0.976

−2.08

0.210

0.61

WVDOF1 (τ12)

−0.049

−1.50

0.001

0.03

WVDOF2 (τ13)

0.031

1.69

−0.007

−0.52

Adj. R 2

0.61

0.51

Sargan test (Qs)

χ2(13)=17.22

χ2(14)=17.28

Exogeneity test

F(10,49)=0.86

F (10,72)=2.21

I−Moran: W c

−0.012

0.06

−0.128

0.82

W 30

0.002

0.01

−0.037

0.33

W d

−0.010

0.25

−0.032

1.10

  1. Entries in boldface indicate significance at the .10 level

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Schmitt, B., Henry, M.S., Piguet, V. et al. Urban growth effects on rural population, export and service employment: evidence from eastern France. Ann Reg Sci 40, 779–801 (2006). https://doi.org/10.1007/s00168-006-0069-3

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