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The construction of interstate transportation infrastructure (for example) can improve a ..... Transportation Research Part A: Policy and Practice, 93, 83–92.
Received: 5 September 2017

Revised: 26 November 2017

Accepted: 5 January 2018

DOI: 10.1111/rsp3.12114

ORIGINAL ARTICLE

Do transport infrastructure spillovers matter for economic growth? Evidence on road and railway transport infrastructure in Iranian provinces Zahra Dehghan Shabani

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Sima Safaie

Department of Economics, Shiraz University, Shiraz, Iran

Abstract

Correspondence Zahra Dehghan Shabani, Department of Economics, Shiraz University, Shiraz, Iran. Email: [email protected]

This study analysed the spatial spillover effects of road and railway transport infrastructure on economic growth in the provinces of Iran. More specifically, it examined the direct, indirect (spatial spillover), and total effects of such infrastructure on the output growth of the provinces. To this end, maximum likelihood was used

JEL Classification: R11; R40; C51; C31; C33

to estimate a spatial Durbin model for the provinces over the period 2001 to 2011. The results showed that main road and railway transport frameworks exert a positive and significant direct effect on the economic growth of the provinces. The main road and railway transport infrastructure in each province has a significant and positive indirect effect on the economic growth of the other provinces, indicating that improvements to individual infrastructure have spatial spillover effects on the economic growth of the other provinces. The conclusion drawn from these findings is that diffusion effects overcome agglomeration effects. Finally, total railway length has a positive spatial spillover effect on regional economic growth. KEYWORDS

spatial spillovers, transport infrastructure, Iranian provinces, economic growth, spatial Durbin model

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I N T RO DU CT I O N

Studies on regional economic growth and development often focus on economic dependence among regions, generally presupposing that the economic conditions in one region influences those in other regions. Correspondingly, the assumption of mutual influence extends to economic growth. Examples of such studies are those of Chua (1993), Ades and Chua (1997), Quah (1993), and Moreno and Trehan (1997), who stated that regional growth rate depends on -------------------------------------------------------------------------------------------------------

© 2018 The Author(s). Regional Science Policy and Practice © 2018 RSAI

Reg Sci Policy Pract. 2018;10:49–63.

wileyonlinelibrary.com/journal/rsp3

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observable regional characteristics, such as labour and capital; unobservable regional characteristics, such as climate; and inter‐regional spillovers. Spillovers more effectively affect regional growth rate than do unobservable regional characteristics and can be considered as equally important as observable regional effects (Conley & Ligon, 2002). Different studies have shown that the effects of transport infrastructure on growth at the regional level generally differ from the results observed at the national level. Researchers argued that this difference is due to the presence of significant spillover effects between regions. A spillover indicates that the positive benefits of investing in infrastructure arise not only from investments made in each province but also from the positive and negative side effects of investments in the transport networks of neighbouring provinces (Yu, De Jong, Storm, & Mi, 2013). Note, however, that the spillover effects of transportation infrastructure on regional economic growth may be either positive or negative. On the one hand, transportation infrastructure enables high‐growing regions to play the role of stimulator for low‐growing regions through diffusion effects that lead to positive spillovers because such infrastructure comprises networks that connect the economic activities of different regions to an entire framework (Xueliang, 2008). On the other hand, improved transport infrastructure facilitates the migration of labour from underdeveloped to developed areas through agglomeration effects, thereby causing negative spillover effects. Therefore, the spillover effects of transportation infrastructure on a region's economic growth depend on diffusion and agglomeration effects. Previous studies on the effects of transportation infrastructure on economic growth can be divided into two strands. The first covers studies that examined the relationship between transportation infrastructure and economic growth without consideration for spatial spillover effects (Table 1). The second strand of research focused on the effects of spatial spillover from transportation infrastructure on economic growth. These studies generated three varying results: transportation infrastructure has positive spillover effects on economic growth; transportation infrastructure exerts negative spillover effects; and transportation infrastructure does not pose any spatial spillover or mixed spatial spillover effects on economic growth (Table 2). Numerous studies have been devoted to the spillover effects of transportation infrastructure on economic growth, but research on the influence of total and main transportation infrastructure is remarkably lacking.1 Some studies inquired into the effects of highways, but these highways are not the only major thoroughfares in a region. In this study, a main road network was defined as encompassing highways, freeways, wide main roads, ordinary main roads, and main railways. Main railways do not include suburban railways and manoeuvring railway lines. A clear definition is important because the extent of spatial spillover from total infrastructure differs from the magnitude of spatial spillover from main infrastructure. Accordingly, this study focused on road and railway frameworks. The current research contributes to the literature in a number of ways. It considered the spatial spillover effects of total and main road networks and total and main railway networks, deriving results that can serve as a guide for policy‐ makers in allocating transportation infrastructural investments. All other studies on transport infrastructure spillovers were conducted in developed countries, such as the United States and Spain, or in newly industrialized nations, such as China. By contrast, the present study obtained evidence on the spillover effects of transportation infrastructure in Iranian provinces, some of which were characterized by low economic development and limited transport infrastructure during most of the periods under analysis. Our findings can therefore provide lessons that may be useful for developing economies that want to enhance their transportation infrastructure. In many of the studies presented in Table 2, the researchers used transportation capital stock, transportation investment, or highway

1 Main roads include highways; freeways; wide main roads (roads with asphalt pavement or concrete for passing motor vehicles and part of national networks) with a total width of 13 to 13.30 metres; and ordinary main roads with a width of 11 to 11.30 metres. Total road networks include highway, freeways, wide main roads with a total width of 13 to 13.30 metres, ordinary main roads with a width of 11 to 11.30 metres, byways, and rural roads. Main rail networks are networks where lines are located directly along the lines between the two sides of a station. Total rail networks encompass main railways, suburban railways (lines used at station stations for acceptance and deployment of trains), and maneuvering railway lines (lines located at stations for the purpose of arranging and separating trains).

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DEHGHAN SHABANI AND SAFAIE TABLE 1

Summary of studies on the relationship between transportation infrastructure and economic growth

Authors

Countries

Period

Methodology

Findings

Aschauer (1989)

US

1949–1985

OLS, TSNLS

TI ! G

Duffy‐Deno and Eberts (1991)

US

1980–1984

SPDM

GTI ! IP

Garcia‐Mila and McGuire (1992)

US

1969–1983

PD

HW ! GDP

Haque and Kim (2003)

15 developing countries

1970–1987

SEPD

GTI ! G

Boopen (2006)

South African countries Developing countries

1980–2000 1985–2000

DPD

TI ! G

Kustepeli, Gulcan, and Akgungor (2008)

Turkey

1970–2005

CA and GC

No relationship between HWE and G

Hong, Chu, and Wang (2011)

China

1998–2007

PD

T !G

Akbarian and Ghaedi (2011)

Iran

1961–2006

VAR

TI ! GDP

Daii karimzadeh, Emadzadeh, and Kamkar Delakh (2009)

Iran

1973–2008

ARDL

GTI ! G

Banerjee, Duflo, and Qian (2012)

China

1986–2000

Descriptive method

T ! GDP

Carruthers (2013)

11 southern and eastern Mediterranean countries





TI ! G

Bosede, Abalaba, and Afolabi (2013)

Nigeria

1981–2011

OLS

TI ! G

Sun (2013)

China

1978–2011

PD

T ! GI

Ahmed, Abbas, and Ahmed (2013)

Pakistan



DCGE

TI ! G

Pradhan, Norman, Badir, and Samadhan (2013)

India

1970–2012

ARDL

T ↔ GDP

Agbelie (2014)

40 countries

1992–2010

OLS, RF

TI ! G

Afsharpour, Mehrabi, and Pahlavani (2014)

Iran

2000–2011

PD

T ! GA

Kodongo and Ojah (2016)

45 sub‐Saharan African countries

2000–2011

System GMM

TI ! G

þ

þ

þ

þ

þ

þ

þ

þ

þ

þ

þ

þ

þ

þ

þ

þ

Notes: (1) OLS = ordinary least squares; NLS = non‐linear least squares; TSNLS = two‐stage NLS; PD = panel data; SPDM = system estimation dynamic PD; CA = cointegration analysis; GC = Granger causality; ARDL = autoregressive distributed lag; RE = random effect; VAR = vector autoregressive; DCGE = dynamic computable general equilibrium model; TI = transportation infrastructure investment; G = economic growth; IP = per capita income; HW = highway; GDP = gross domestic product; GTI = government transportation infrastructure investment; HWE = highway transportation expenditures; T = transportation þ infrastructure investment; GI = growth inequality; GA = agricultural growth. ! denotes a positive relationship; ↔ denotes bidirectional causality.

capital stock as a measure of transportation infrastructure. A more effective approach is to present transport infrastructure variables on the basis of their physical forms to reflect their distribution. In countries such as Iran, the cost of building roads is not the same across all provinces; in areas where construction costs and investments are excessively high, few options for building road networks are available. The rest of the paper is structured as follows. Section 2 presents the model, methodology, and data employed in this work. Section 3 discusses the empirical results, and Section 4 concludes with a summary, policy implications, and suggestions for future work.

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TABLE 2

Summary of studies on the spatial spillover effects of transportation infrastructure on economic growth

Authors

Countries

Period

Transportation infrastructure measure

Findings

Boarnet (1998)

US

1969–1988

Highway capital stock

SSPH ! pro

Pereira and Roca‐ Sagales (2003)

Spain

1970–1995

Public capital stock in transportation and communication

SSP ! pro

Pereira and Andraz (2004)

US

1977–1999

Highway infrastructure

SSPH ! pro

Cantos, Gumbau‐Albert, and Maudos (2005)

Spain

1965–1995

Public capital in transport infrastructure

SSP ! G

Berechman, Ozmen, & Ozbay, 2006

US

1990–2000

Highway capital

SSPH ! G

Liu, Chen, and Zhou (2007)

11 cities of China

1994 to 2003 Highway capital

SSPH ! G

Ozbay, Ozmen, and Berechman (2007)

New York/New Jersey metropolitan area

1990–2000

Highway capital

SSPH ! pro

Xueliang (2008)

China

1993–2004

Transportation infrastructure capital stock

SSP ! G

Hu and Liu (2010)

China

1985–2006

Transportation infrastructure capital stock

SSP ! G

Liu (2010)

China

1978–2008

Highway and waterway capital stock

Before 2001:

Jiwattanakulpaisarn, US Noland, and Graham (2011)



þ

þ

þ

þ

þ þ

þor−

þ

þ

SSPH; SSPW ! G After 2001: − SSPH; SSPW ! G þ

1984–1997

Highway capital

SSPH ! pro þ

Álvarez‐Ayuso and Delgado‐Rodriguez (2012)

Spain

1980–2008

Public capital on high‐capacity road networks

SSPRO ! PPro

Yu et al. (2013)

China

1978–2009 1978–1990 1991–2000 2001–2009

Transportation capital stock

SSP ! G

Wang, Deng, and Wu (2014)

China

1990–2010

Transportation capital stock

SSP ! G

Chen and Haynes (2015)

US

1991–2009

þ Public highways, railways, SSPH, SSPR, SSPA ! G transit systems, no effect G SSPT ! and airports

Jiang et al. (2015)

China

1985–2012

Transportation investment

SSP ! G

Álvarez, Condeço‐ Melhorado, Gutiérrez, and Zofío (2016)

Spain

1980–2007

Transportation capital stock

SSP ! pro

Álvarez, Barbero, and Zofío (2014)

Spain

1980–2007

Infrastructure capital stock (internal and imported capital)

SSP ! G

Li, Wen, and Jiang (2017)

31 provinces in new 2005–2014 silk road Economic Belt

Density of railway and highway networks

SSPH, SSPR ! G

þ



þor−

þor−

þ

þ

þ

þor−

þ

Notes: ! denotes a positive relationship; ! denotes a negative relationship; ! denotes a positive or negative relationship. Pro = production, G = economic growth, PPro = private production, SSP = spatial spillover of transportation, SSPH = spatial spillover of highways, SSPR = spatial spillover of railways, SSPA = spatial spillover of airports, SSPT = spatial spillover of transit ways, SSPRO = spatial spillover of roads, U>S = United States

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2

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M O D E L SP E C I F I C A T I O N

Given that this study centered on an analysis of the spatial spillover effects of transportation infrastructure on economic growth, a model that considers transportation infrastructure and spillovers as important factors was necessary. Among regional growth models, new economic–geographic versions are spatial models wherein a neighbourhood is a positive factor for efficiency and growth. In these models, the determinants of efficiency and growth are increasing returns and transportation costs. This study used a new economic–geographic model in which the concentration of transportation and industrial activities is an important stimulating factor for economic growth. We adopted a Cobb‐Douglas production function to examine the relationship between production and input factors in a region. In this production function, transportation infrastructure, along with the concentration of industrial activities on productivity, is regarded as an external factor (Boarnet, 1998; Jiwattanakulpaisarn et al., 2011). Transportation infrastructure and industrial concentration are treated as production function frontier shifters, which increase the efficiency of other inputs. The production function of region i is considered as follows:   βk βh Y it ¼ Ait zw it K it Lit ;

(1)

where Y represents the real gross domestic product (GDP) without oil, A is the total factor productivity, zw it denotes the concentration of transportation infrastructure (roads and railways) and industrial activities in a province, and K and L represent capital and labour, respectively. Assuming that the total factor productivity has an exponential relationship with road, railway, and industrial concentration: Ait ¼ RoadβitRo RailβitRa AgβitAG eit ;

(2)

where Road and Rail refer to the total and main road and railway lengths in each province (kilometre), and Ag represents the concentration of industrial activities. The log linear transformation of Equation (2) becomes: Lyit ¼ βro Lroadit þ βra Lrailit þ βag Lagit þ βk Lkit þ eit ; in which y is the logarithm of the real GDP per capita without oil per capita; Lroadit and Lrailit are the logarithms of total or main road length per capita and railway length per capita, respectively; and Lkit denotes the real capital stock per capita. The construction of interstate transportation infrastructure (for example) can improve a network through the efficient connection of states, thereby enabling a redistribution of existing resources for production. An improved transportation network in a state can provide a more efficient and integrated network to the state and, consequently, contribute to economic activities in spatially related states. Economic activities can also be reallocated from states with poor transportation infrastructure to states with well‐maintained transportation systems. Thus, the construction or improvement of transportation infrastructure in one state can adversely affect the output of private sectors in neighbouring states with less‐developed transportation infrastructure (Tong, Yu, Cho, Jensen, & Ugarte, 2013). In this case, the transportation infrastructure of one state exerts spatial spillover effects on other states. The spatial Durbin model (SDM) is useful for testing hypotheses on spatial spillover because the model captures the contribution of transportation infrastructure in a given region to economic growth both in and outside of the region. The SDM includes a spatially lagged dependent variable (WY) and spatially lagged explanatory variables (WX) (Vega & Elhorst, 2013). It is the only model that produces an unbiased estimator in all possible spatial data modeling processes, according to LeSage and Pace (2009). The omission of variables is also less likely to be observed

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in the SDM because of the inclusion of spatial dependence in the explanatory variables (Tong et al., 2013). The following equation represents the framework used for the SDM in this research: Y it ¼ α þ βX it þ ρ∑Nj¼1 W i; j Y jt þ θ∑Nj¼1 W i; j Xjt þ Ui þ γt þ eit ;

(3)

where Yit stands for the dependent variable in region i at time t, α is a constant, Xit is a vector of explanatory variables, β is a vector of parameters, Wi,j is the i, jth element in a 28 × 28 spatial weight matrix, ∑Nj¼1 W i; j Y jt refers to the spatial lag of the dependent variable, and coefficient ρ shows the effects of the regional growth of neighbouring provinces on the regional growth of province i. Furthermore, ∑Nj¼1 W i; j Xjt is the spatial lag of the explanatory variables; coefficient θ represents the effects of neighbouring provinces’ logarithm road per capita (total or main), railway per capita (total or main), industrial concentration, and real capital stock per capita on the regional growth of each province; eit pertains to an error term with a 0 mean and constant variance; Ui refers to spatial fixed effects; and γt stands for time‐period fixed effects. Spatial and time‐period fixed effects are used to account for spatial and temporal heterogeneities, respectively. The final model is expressed thus: Lyit ¼ α þ βrai Lrailit þ βroi Lroadit þ βag Lagit þ βk Lkit þ ρ∑Nj¼1 W ij Lyjt þ θ1 ∑Nj¼1 W ij Lrailjt þ θ2 ∑Nj¼1 W ij Lroadjt þ

θ3 ∑Nj¼1 W ij Lagjt

þ

θ4 ∑Nj¼1 W ij Lkjt

(4)

þ Ui þ γt þ eit ;

where i represents a province, t represents a year, and j represents other provinces (i ≠ j). The final model was estimated two times: once by using the total road and railway networks and again by using the main road and railway networks. A weight matrix based on distance decay was also used because in spatial matrices constructed on the basis of contiguity, having two units with a shared boundary yields a matrix element with a value of 1; otherwise, this value is 0. This means that a spatial unit can both affect and not affect another spatial unit. This phenomenon, however, is limited to observations with a shared boundary, that is, the absence of differences between non‐neighbouring provinces. Considering the nature of transportation infrastructure, with spillovers that are not confined to neighbouring provinces, this study used the distance matrix below:

W i; j

8 < 1 ¼ di; j : 0

9 i≠j= ; ; i¼ j

(5)

where di,j is the distance between provinces i and j (distance metric is Euclidean distance and distance variables (X‐coordinate and Y‐coordinate) are centroids). In the SDM, the inclusion of a spatial lagged dependent variable as an explanatory variable produces an endogeneity problem because of the correlation between the regressor (WY) and residual (e). As a result, traditional ordinary least squares (OLS) estimation may be biased and inconsistent. To prevent this endogeneity issue, we employed maximum likelihood estimation based on the conditional log‐likelihood function of the model (Tong et al., 2013).

2.1

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Data

The GDP statistics without oil from 2001 to 2011 were extracted from provincial statistical yearbooks published by the Statistical Centre of Iran. We calculated the real GDP per capita using the price index and population of a province. To determine the concentration of industrial activities, we used Nakamura and Paul's (2009) index: LAgj ¼

Xj J

∑ Xj

¼

Xj j ¼ 1; …; J; X*

(6)

j¼1

where X* is the total added value in the industrial sector, Xj is the industrial value added of region/province j, and LAgj shows the industrial sector concentration in region j. Nakamura and Paul's index falls between 0 and 1. If the industrial

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sector is completely concentrated in one area, the value of the index is 1, and if the industrial sector is distributed in some large areas with very small shares, the indicator tends toward 0. To calculate the index, we used data from the provincial statistical yearbooks published by the Statistical Centre of Iran. To calculate the real capital stock per capita, the government credit for development and credits to the private sector were considered the investment variables for a province. The specific method of calculation used was that developed by Berlemann and Wesselhöft (2014). This method requires the calculation of the initial capital stock K0 from investments IN0, the long‐term growth rate of investments λ, and the rate of capital depreciation δ. (We assumed IN0 . We therefore used the entire time series of λ investments (INt) in province i at time t and estimated the equation Ln(INt) = α + λt + εt using the OLS method. We

that δ = 0 in the calculation of initial capital stock.) That is, K 0 ¼

also estimated λ as a measure of investment growth. After we obtained the initial capital stock using K 0 ¼

IN0 , we λ

K t−1 þ It . Taking into account a 5% capital depreciation, we can calcu1þδ late the capital stock in different years (Berlemann & Wesselhöft, 2014). Note that the real capital stock per capita was adopted the perpetual inventory method, K t ¼

calculated using a province's price index and population—data that were collected from provincial statistical yearbooks. In this study, transportation infrastructure was regarded as encompassing roads and railways (total and main networks), with related information extracted also from the provinces’ statistical yearbooks.

2.2

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Spatial autocorrelation of provincial real GDP per capita without oil in Iran

To examine the spatial dependence of the real GDP per capita, Moran's I statistic (1950) was adopted as a useful tool for measuring the degree of dependence between a variable in one region and the same variable in a neighbouring region. Moran's I statistic is expressed as follows:    n∑ni¼1 ∑nj¼1 W ij X i −X Xj −X   I¼  2 ; ∑ni¼1 ∑nj¼1 W ij ∑ni¼1 Xi −X

(7)

in which nis the number of provinces that were examined in this study (28 provinces), Xi is the real GDP per capita of the provinces, X denotes the average real GDP per capita of all the provinces, and Wrepresents the spatial weight matrix. The null hypothesis (H0) states that no spatial autocorrelation exists. The results derived on the basis of Moran's I statistic are shown in Table 3. The value of the statistic is positive and statistically significant for all the studied years. A spatial

TABLE 3

Global Moran's I statistic for regional real GDP per capita without oil

Year

Moran's I value

p‐value

2001

0.227

0.015

2002

0.219

0.012

2003

0.218

0.012

2004

0.264

0.007

2005

0.263

0.005

2006

0.285

0.009

2007

0.293

0.004

2008

0.273

0.005

2009

0.159

0.045

2010

0.159

0.049

2011

0.157

0.020

Note: Adjacency matrix was constructed based on distance.

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autocorrelation in the real GDP per capita of the Iranian provinces exists, with significance at the 5% level. The positive Moran's I index suggested that the real GDP per capita is similar across contiguous provinces. That is, provinces with a high level of real GDP are contiguous to one another; the same holds for provinces with a low level of real GDP. The global Moran's I statistic can be helpful in determining a general spatial autocorrelation trend, but its use would mean that obtaining data on provinces that do not follow this trend would be impossible. As an alternative, the local Moran's statistic (map) proposed by Anselin (1996) was used for a closer examination of spatial autocorrelation. The local Moran and cluster maps of Iranian provinces in 2001 and 2011 are presented in Figures 1 to 4.

3

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EMPIRICAL RESULTS

Spatial or non‐spatial panel data models with fixed or random effects are selected on the basis of relevant available studies and some statistical criteria. We selected spatial and non‐spatial fixed effects models with reference to the Hausman test (Hausman, 1978) results presented in Tables 4 and 5. Table 4 displays the estimation results of the non‐spatial panel data model. The models included two‐way fixed effects, spatial fixed effects, time fixed effects, and a pooled OLS. The results concerning the likelihood ratio (LR) test are also provided in Table 4. This test was used to account for spatial and time‐period fixed effects. On the basis of the findings, the null hypotheses on the joint non‐ significance of the time‐period fixed effects and the joint non‐significance of spatial fixed effects are rejected. This rejection indicates that a model must include both spatial and time‐period fixed effects, thus prompting the selection of the two‐way fixed effects model. It should be mentioned here, however, that the effects of spatial interaction between the variables have not been accounted for in this model. Consequently, this finding cannot be reliable because the coefficient estimates may be biased. To determine whether either spatial lag dependence or spatial error dependence exert any statistically significant effects on labour productivity in the different provinces, we performed a Lagrange multiplier (LM) test after running the LR test. The rejection of the null hypothesis indicated that the tested spatial interaction effects should be

FIGURE 1

Cluster map of Iranian provinces, 2001

DEHGHAN SHABANI AND SAFAIE

FIGURE 2

Local Moran map of Iranian provinces, 2001

FIGURE 3

Cluster map of Iranian provinces, 2011

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incorporated into the models (whether spatial lag or spatial error). As shown in Table 5, the null hypothesis of the non‐ spatial model has been rejected only in favor of the spatial lag model. Consequently, the spatial autoregressive (SAR) model or the SDM is recommended for use.

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FIGURE 4 TABLE 4

Local Moran map of Iranian provinces, 2011 Estimation results of panel data without spatial interaction effects Model 1

Variable

Spatial fixed

Model 2 Time‐ period

Spatial and time‐period

Spatial fixed

Time‐ period

Spatial and time‐period

LK

0.623*** (0.000) 0.505*** (0.000)

0.528*** (0.000)

0.568*** (0.000) 0.516*** (0.000) 0.544*** (0.000)

LAg

0.147*** (0.000) 0.066*** (0.000)

0.062*** (0.000)

0.111 (0.191)

0.090*** (0.000) 0.078*** (0.000)

0.078 (0.458)

0.005 (0.589)

Lrailt

–0.836 (0.204)

Lroadt

–1.395** (0.036) 0.397** (0.047) –0.775*** (0.002)

Lrails

LR spatial fixed effects test

0.562** (0.019)

0.058* (0.109)

–0.471*** (0.000) 0.228*** (0.000) 0.305*** (0.000)

Lroads Hausman

0.133** (0.026)

11.60** (0.020) 4.35*** (0.000)

LR time‐ 186.71*** (0.000) period fixed effects test

31.32*** (0.000) 5.07*** (0.000)

207.48*** (0.000)

Notes: The p‐values are enclosed in parentheses. ***, **, and * denote statistical significance at the 0.01, 0.05, and 0.1 levels, respectively. Lrailt, Lroadt, Lrails, Lroads refer to the logarithms of total rail length per capita, the logarithms of total road length per capita, the logarithms of main rail length per capita, the logarithms of main road length per capita, respectively.

Table 6 presents the estimation results on the effects of transportation infrastructure spillovers on regional economic growth. We used the SDM with both spatial and time‐period effects. On the basis of the Hausman test, the fixed effects estimation method was chosen for both models 1 and 2 (Table 6). In model 1, we considered the

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DEHGHAN SHABANI AND SAFAIE TABLE 5

Diagnostic test results on spatial interaction effects

Test

Statistic

p‐value

0.315

0.751

13.201***

0.000

Spatial error LM Spatial lag LM

Note: ***, **, and * denote statistical significance at the 0.01, 0.05, and 0.1 levels, respectively.

TABLE 6

Estimation results of Equation (4) Model 1

Variables

Coefficient

Model 2 t‐stat

p‐value

Coefficient

t‐stat

p‐value

LK

0.566***

6.53

0.000

0.588***

7.76

0.000

LAg

0.055*

1.63

0.103

0.069**

2.13

0.033

Lrailt

0.813***

4.18

0.000

Lroadt

1.029***

3.21

0.001

Lrails

0.112***

6.52

0.000

Lroads

0.345***

4.53

0.000

W*Lk W*LAg

0.275

1.24

0.216

–0.171

–0.93

0.351

W*Lrailt

7.538***

3.63

0.000

W*Lroadt

1.911

1.19

0.233

0.785*** –0.200*

3.01

0.003

–1.64

0.100

0.000

W*Lrails

1.335***

4.78

W*Lroads

0.810*

1.72

0.086

32.82

0.000

W*Lrgdp

0.855***

R^2

0.433

Log likelihood Hausman's specification test Wald spatial lag test Wald spatial error test

59.95

0.000

0.810*** 0.400

6.099

6.099

1607.23***

0.000

470.55***

0.000

244.79***

0.000

108.82

0.000

49.78***

0.000

92.10

0.000

Notes: The logarithm of real GDP per capita is a dependent variable. ***, **, and * denote statistical significance at the 0.01, 0.05, and 0.1 levels, respectively. The numbers of observations equal the numbers of years in each period multiplied by 28 provinces. Lrailt, Lroadt, Lrails, Lroads refer to the logarithms of total rail length per capita, the logarithms of total road length per capita, the logarithms of main rail length per capita, the logarithms of main road length per capita, respectively.

effects of total road and railway networks on regional economic growth, whereas in model 2, we examined the effects of main road and railway networks on regional economic growth. A Wald test was conducted to evaluate the suitability of the SAR model and the SDM. As Table 4 indicates, the p‐value generated by the Wald spatial lag test is less than 0.05. Therefore, the SAR model is rejected and the SDM is accepted. As shown in Table 5, each explanatory variable has a direct, an indirect, and a total effect on the dependent variable (i.e., economic growth). Table 7 presents the estimation results on direct, indirect, and total effects. The explanatory variable's direct effect on regional growth reflects how a change in the variable in province i might affect the average regional growth in that province. The explanatory variable's indirect or spillover effect on regional growth indicates how a change in the variable in province i might affect the average regional growth in other provinces. In other words, the spillover effect shows the consequence of the variable's spatial spillover on the regional growth of the other provinces. The explanatory variable's total effect on regional growth can also show how a change in the

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TABLE 7

Direct, indirect, and total effects of the explanatory variables Model 1 Coefficient

t‐stat

p‐value

Coefficient

t‐stat

0.567*** 0.210 0.777**

6.56 0.72 2.24

0.000 0.472 0.025

0.586*** 0.655* 1.241***

7.57 1.75 3.14

0.000 0.081 0.002

1.83 −0.93 −0.48

0.067 0.354 0.354

2.49 −1.79 −0.74

0.013 0.074 0.461

0.759*** 6.727*** 7.487***

3.95 3.01 3.10

0.000 0.003 0.002

1.018*** 1.552 2.570

3.57 1.04 1.50

0.000 0.298 0.134 0.102***

6.64

0.000

Indirect effect (spillover)

1.181***

3.62

0.000

Total

1.283***

3.86

0.000

Direct effect

0.348***

4.89

0.000

Indirect effect (spillover)

0.706*

1.68

0.092

Total

1.054**

2.17

0.030

Variable

Effects

Lk

Direct effect Indirect effect Total

LAG

Direct effect Indirect effect (spillover) Total

Lrailt

Direct effect Indirect effect (spillover) Total

Lroadt

Direct effect Indirect effect (spillover) Total

Lrails

Direct effect

Lroads

Model 2

0.057* −0.148 −0.091

0.075** −0.164* −0.089

p‐value

Notes: The logarithm of real GDP per capita is a dependent variable. ***, **, and * denote statistical significance at the 0.01, 0.05, and 0.1 levels, respectively. Lrailt, Lroadt, Lrails, Lroads refer to the logarithms of total rail length per capita, the logarithms of total road length per capita, the logarithms of main rail length per capita, the logarithms of main road length per capita, respectively.

variable in province i might affect the average economic growth rate in all the provinces, including province i (Atella, Belotti, Depalo, & Mortari, 2014). In models 1 and 2, the direct and total effects of stock capital per capita on economic growth is positive and significant (p < 0.05), indicating that an increase in the capital of each province elevates the economic growth in that province and in the entire country. This finding aligns with our theoretical expectations. The results of model 1 showed that the direct effect of total road and railway per capita is positive and significant (p < 0.05), which means that an increase in transportation infrastructure translates to an increase in economic growth. On the basis of the proposed theoretical framework, these results can be explained by two aspects that require consideration with respect to the development of transportation infrastructure. On the one hand, this development leads to the growth of industries that provide products and services needed in transportation infrastructure. On the other hand, the transportation costs of entities decrease, thereby driving increased production. Moreover, access to larger markets is provided, thus attracting manufacturers and economic activities to a given region. Higher industrial concentration is established, which leads to economies of agglomeration. Such agglomeration, in turn, reduces product prices and increases demand. The spillover effect of total railway length on economic growth is positive and significant (p < 0.01), indicating that the development of rail transportation infrastructure in a province results in an increase in the economic growth of neighbouring provinces. By contrast, the spillover effect of total road length is non‐significant, indicating that total road length does not have any spillover on other provinces. The total effect of total railway length is significant and positive, whereas that of total road length is non‐significant (Table 4). The direct effects of main road and railway networks are significant and positive in model 2 (Table 6). The indirect effects (spatial spillover) of railways and main roads are significant (p < 0.05 and p < 0.1, respectively). The proposed theoretical framework indicates that with an increase in neighbouring provinces’ transportation infrastructure, diffusion and agglomeration effects occur. Diffusion means that the development of transportation infrastructure in

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each province drives its growth (direct effect) and that growth in each province leads to growth in other provinces (indirect effect). Agglomeration means that the development of the transportation infrastructure of a province causes the work force and manufacturers to migrate to that province, which in turn, diminishes growth in other provinces. This is negative spillover on economic growth. Positive spillover happens because the diffusion effects dominate the agglomeration effects. The total effect (summation of direct and indirect effects) of main road and railway length on economic growth is positive and significant (p < 0.05). This result indicates that the development of transportation infrastructure in province i prompts, on average, an increase in economic growth in other provinces. As Table 5 shows, the direct effect of industrial concentration on economic growth is positive. This finding is attributed to the availability of abundant labour reserves, which promotes the efficiency of the local labour market by creating a match between employers and employees. In addition, the availability of useful knowledge spillovers promotes intra‐ and inter‐industry productivity. Industrial concentration can therefore be accompanied by a higher level of productivity, increased real wages, better standards of living, and improved economic growth (Baldwin & Martin, 2004).

4

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C O N CL U S I O N

Much of the evidence on transport infrastructure spillovers has been reported for states and counties in developed countries, such as the United States and Spain, where a severe lack of infrastructural endowments may not be a problem. Deviating from the traditional approach in the literature, we derived evidence on the spillover effects of transport stock in the Iranian context, where some provinces suffered from inferior economic development and limited transport infrastructure in most of the periods under analysis. The total railway spillover effect is positive and significant. The result is similar Chen and Haynes (2015) and Li et al. (2017). The spillover effects of main road and railway transportation infrastructure on economic growth are positive and significant, but the spillover from railways is greater than that from roads. The result of the main road transport (that include highway) impact is similar to Cantos et al. (2005), Berechman et al. (2006), Liu et al. (2007), Ozbey (2007), Chen and Haynes (2015) and Li et al. (2017). This research presents important policy implications for investment in transportation infrastructure in Iran and other developing economies. The results showed that investment in rail and road infrastructure—specifically, construction and maintenance—is imperative not only to economic growth within a region but also to economic growth in other regions. The findings can also assist the government in prioritizing rail and road structure investment given the limited availability of investment resources under the current budget deficit of Iran. On the basis of the empirical results, we recommend that investment policy be directed primarily to the development of cross‐regional transport networks instead of intra‐regional networks. Our findings likewise suggested that investment decisions on road infrastructure should be geared toward the construction of main roads as these thoroughfares contribute to economic growth both in and outside of a region. The results highlight the essentiality of investment in rail (main and total) infrastructure in Iran. Iran's railway infrastructure network is shorter than its road infrastructure, yet the results indicated that the former has had a major impact on growth in the region and other regions. Under the current budget deficit of Iran, we advise policy‐makers to allocate investment in the construction and maintenance of the country's rail infrastructure. A limitation of this study is that the spatial weight matrix used in the SDM may be more intuitive than the spatial contiguity matrices used in our analysis. A spatial weight matrix based on intuitive knowledge about the spatial linkage of transportation networks across states would have expanded our examination. However, a matrix that can accommodate flow to and from major states of production is extremely complicated to construct. Other researchers can explore a spatial empirical model that is grounded in the aforementioned intuitive knowledge in relation to production. The spatial spillover analysis of transportation infrastructure in this study can also be applied to other issues of importance to a sector. For instance, scholars can probe into the spatial spillover of transportation infrastructure on the outputs of agricultural, industrial, and service sectors.

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How to cite this article: Dehghan Shabani Z, Safaie S. Do transport infrastructure spillovers matter for economic growth? Evidence on road and railway transport infrastructure in Iranian provinces. Reg Sci Policy Pract. 2018;10:49–63. https://doi.org/10.1111/rsp3.12114

DOI: 10.1111/rsp3.12114

Resumen. Este estudio analizó los efectos de spillover espacial de la infraestructura de transporte por carretera y ferrocarril en el crecimiento económico de las provincias de Irán. Más específicamente, el estudio examinó los efectos directos, indirectos (spillover espacial) y totales de dicha infraestructura en el crecimiento del producto de las provincias. Con este fin, se utilizó la máxima verosimilitud para estimar un modelo espacial de Durbin para las provincias durante el período 2001 a 2011. Los resultados mostraron que los principales marcos de transporte por carretera y ferroviario ejercen un efecto directo positivo y significativo sobre el crecimiento económico de las provincias. La infraestructura principal de transporte por carretera y ferroviario de cada provincia tiene un efecto indirecto significativo y positivo sobre el crecimiento económico de las otras provincias, lo que indica que las mejoras en la infraestructura individual tienen efectos de spillover espacial sobre el crecimiento económico de las otras provincias. La conclusión extraída de estos hallazgos es que los efectos de difusión superan a los efectos de aglomeración. Finalmente, la longitud total del ferrocarril tiene un efecto positivo de spillover espacial sobre el crecimiento económico regional.

抄録: 本稿では、イランの州(province)の経済成長に対する、道路および鉄道輸送の交通 インフラの空間的波及効果を分析する。具体的には、州の生産高の増加に対する、道路お よび鉄道輸送インフラの、直接的、間接的(すなわち空間的波及効果)、総合的な効果を検 討する。その方法として、2001年から2011年までの各州の空間ダービンモデルを最尤法に より推定する。結果は、主要な道路および鉄道輸送のフレームワークが、州の経済成長に 対して大きくかつ直接的なプラスの効果を与えていることを示す。各州の主要な道路およ び鉄道輸送インフラは、他州の経済成長に対して、大きなプラスの効果を間接的に与えて おり、各インフラの改善が他州の経済成長に波及効果を及ぼすことを示している。以上の 知見から、拡散効果は集積効果を上回るという結論が得られる。さらに、鉄道の全長は地 域の経済成長に対してプラスの空間的波及効果を与えている。

© 2018 The Author(s). Regional Science Policy and Practice © 2018 RSAI