The Non-Linear Impact of Highway Improvements on the Urban–Rural Income Gap in Underdeveloped Regions: A Mixed-Methods Approach
Abstract
:1. Introduction
2. Literature Review and Research Hypotheses
2.1. Literature Review
2.1.1. Factors Affecting the Urban–Rural Income Gap
2.1.2. Impacts of Transportation Improvements on the Urban–Rural Income Gap
2.2. Research Hypotheses
3. Data, Models and Variables
3.1. Data Sources
3.1.1. Quantitative Data
3.1.2. Qualitative Data
3.2. Models
3.2.1. Benchmark Model
3.2.2. Threshold Model
3.3. Variables
3.3.1. Explained Variable
3.3.2. Core Explanatory Variables
3.3.3. Threshold Variables
3.3.4. Control Variables
4. Results
4.1. Linear Regression Results
4.1.1. Benchmark Regression Results
4.1.2. Long-Term Regression Results
4.1.3. Spatial Regression Results
4.2. Threshold Regression Results
4.2.1. Threshold Effects Test
4.2.2. Overall Results
4.2.3. Results for Different Highways
4.3. Robustness Tests
4.3.1. Tests for Threshold Values
4.3.2. Results of the IV Approach
4.3.3. Separating the Impact of the ORDP
4.3.4. Separating the Impact of Railway Development
4.3.5. Separating the Impact of County Characteristics
4.3.6. Substituting Core Explanatory Variable
4.4. Heterogeneity Analysis
4.4.1. Under Different Regional Development Belt
4.4.2. Under Different Industrial Structure
5. Further Analysis
5.1. Differences in Local Non-Farm Employment: Different Participation Opportunities
5.1.1. Situation in Lankao County
“Lankao is unique because many laborers work within the county itself. With ample job opportunities, farmers prefer commuting to town from remote villages since the roads to the county seat are good. Every day around 6 p.m., when the industrial zone closes, people hop on buses or ride their electric scooters straight home.”(2023LK-RRB01)
“Wood door manufacturing requires a full-time workforce year-round for tasks like fine cutting, sanding, milling, and spraying, which drives up labor costs—especially in the county seat. In our village, labor costs are lower, and being close to the X052 highway makes transportation easier. That’s why we set up a wood-products processing industrial park here.”(2023LK-QLGC01)
“I learned piano-making from my father, but before that, I did various labor jobs elsewhere. I started working at this factory in 2018. The monthly pay isn’t bad—over 6000 yuan in a good month. Plus, it’s close to home, so I can care for my family.”(2023LK-FCC03)
“I must care for my family and children, so I can’t work elsewhere. This village company has helped solve employment issues for women like me who stay behind. We’re paid by the piece, so the more we work, the more we earn—about 4000 yuan a month.”(2023LK-ZZC04)
5.1.2. Situation in Rongjiang County
“There are only so many jobs in the county seat, and even people there struggle to find work, let alone farmers. Some might build a wooden house or have enough business sense to sell some trees, but wages are low—maybe two or three thousand yuan for hard labor.”(2024RJ-RRB02)
“There’s no wood processing industry in the village because transportation costs are too high, and there’s no supporting industrial chain. If an industrial chain is established in the future, it might be possible, but it will require time and a solid foundation. As for tourism, few villages can develop it. Out of our 250 villages, maybe 15 are involved in tourism. The rest rely mainly on aging industries, and the issue of village hollowing is severe.”(2024RJ-RRB01)
“I wanted to work outside, but at the time, I had a young child and elderly family members to care for. If I had gone, I’d probably be much better off now, maybe 5000 yuan a month. There aren’t factories nearby, so I opened this small restaurant, less than 2000 yuan a month.”(2024RJ-DJC02)
“We worked outside until 2014, but when our child had to return for school, we returned and started a small business. Running a shop isn’t as profitable as it used to be, and the profit margins are slim—not nearly as good as what we could earn working outside.”(2024RJ-LXC02)
“I worked outside when I was younger, but as I got older and developed a chronic illness, factories didn’t want to hire me. There’s not much money to be made around here. I watch over the forest as a public service job, earning 800 yuan a month.”(2024RJ-JYC03)
5.2. Differences in Migrant Non-Farm Employment: Different Wage Returns
5.2.1. Situation in Lankao County
“We have Sannong Vocational College and the Higher Technical School, and many people from our village studied there. Two main groups now earn excellent salaries—those who repair boilers for companies and those working in engineering in Xinjiang. They’re making seven to eight thousand yuan a month now.”(2023LK-ZZC01)
“Experts taught us cultivation techniques for these key honeydew melons, and the county invested significantly to bring them in. Experts also visit the fields daily. My partner has become a technician and often travels for months, providing technical guidance in other places and earning a good income. Just a few days ago, he went to Shangqiu for this purpose.”(2023LK-DZC02)
5.2.2. Situation in Rongjiang County
“My two sons and daughter-in-law work in Jieyang, cutting wood in the mountains. They earn about 4000 yuan a month. It’s not much, but without skills, we must rely on physical labor to make a living.”(2024RJ-JYC02)
“Both of my sons work in Dongguan. The older one is in a garment factory, and the younger one works in a toy factory. They’re both on the assembly line, earning less than 5000 yuan a month. The eldest started working after three years of vocational school, and the youngest went straight to work after high school. With limited education, it’s hard for them to find better-paying jobs.”(2024RJ-THSQ03)
5.3. Results Drawn from Comparing the Two Counties
6. Conclusions and Policy Implications
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Type | Variable | n. | Mean | S.D. |
---|---|---|---|---|
Explained variable | URIG | 1136 | 2.9196 | 0.6658 |
Core explanatory variables | Density | 1136 | 0.1422 | 0.0701 |
Density_I | 1136 | 0.0635 | 0.0394 | |
Density_C | 1136 | 0.1222 | 0.0678 | |
Control variables | Size | 1136 | 3294.2826 | 3449.0546 |
Saving | 1136 | 0.8883 | 0.3743 | |
Revenue | 1136 | 0.0580 | 0.0315 | |
Expenditure | 1136 | 0.3957 | 0.2644 | |
Education | 1136 | 0.0487 | 0.0142 | |
Healthcare | 1136 | 39.8627 | 17.1907 | |
Welfare | 1136 | 25.0644 | 21.3306 | |
Poverty_D | 1136 | 0.1769 | 0.3818 | |
Policy_P | 1136 | 4.3829 | 5.5846 | |
Threshold variables | TGRP | 1136 | 9106.2320 | 7495.1590 |
PGRP | 1136 | 0.5775 | 0.3984 |
URIG | |||
---|---|---|---|
Model 1 | Model 2 | Model 3 | |
Density | −0.3371 | ||
(0.3521) | |||
Density_I | 0.5122 | ||
(0.6780) | |||
Density_C | −0.5294 ** | ||
(0.2641) | |||
Size | −0.9203 ** | −0.9297 ** | −0.9301 ** |
(0.4418) | (0.4529) | (0.4343) | |
GRP | 0.1191 | 0.0988 | 0.1324 |
(0.1012) | (0.1012) | (0.1009) | |
Saving | 0.0708 | 0.0693 | 0.0616 |
(0.0855) | (0.0849) | (0.0853) | |
Revenue | −0.4368 | −0.3180 | −0.4907 |
(0.4807) | (0.4598) | (0.4766) | |
Expenditure | 0.6682 *** | 0.6496 *** | 0.6834 *** |
(0.1660) | (0.1657) | (0.1663) | |
Education | −1.7326 * | −1.6378 * | −1.6773 * |
(0.9772) | (0.9850) | (0.9647) | |
Healthcare | 0.0034 ** | 0.0032 ** | 0.0034 ** |
(0.0017) | (0.0016) | (0.0017) | |
Welfare | 0.0012 | 0.0012 | 0.0012 |
(0.0010) | (0.0010) | (0.0010) | |
Poverty_D | −0.2542 *** | −0.2445 *** | −0.2611 *** |
(0.0377) | (0.0377) | (0.0374) | |
Policy_P | −0.0185 *** | −0.0190 *** | −0.0182 *** |
(0.0026) | (0.0026) | (0.0026) | |
County FE | YES | YES | YES |
Year FE | YES | YES | YES |
Constant | 8.6645 ** | 8.9414 ** | 8.5811 ** |
(3.6090) | (3.6950) | (3.5433) | |
Observations | 1136 | 1136 | 1136 |
R-squared | 0.7979 | 0.7978 | 0.7988 |
F statistic | 183.6700 | 182.4500 | 180.8300 |
Panel A | URIG | ||
---|---|---|---|
Model 1: Density | Model 2: Density_I | Model 3: Density_C | |
Long-term effect | −0.2095 | 0.7722 | −0.4604 * |
(0.3726) | (0.7130) | (0.2706) | |
Panel B | URIG | ||
Model 4: Density | Model 5: Density_I | Model 6: Density_C | |
Direct effect | −0.4235 | 0.3496 | −0.5508 *** |
(0.2679) | (0.5343) | (0.2082) | |
Indirect effect | 0.2374 | 0.6553 | 0.0496 |
(0.5040) | (0.9841) | (0.4085) | |
Total effect | −0.1861 | 1.0048 | −0.5012 |
(0.5445) | (1.0926) | (0.4395) |
Number | F-Value | 1% | 5% | 10% | p-Value | |
---|---|---|---|---|---|---|
TGRP | Single | 91.79 | 29.9980 | 23.4547 | 19.6903 | 0.0000 |
Double | 62.67 | 25.0396 | 20.8232 | 18.4226 | 0.0000 | |
Triple | 35.62 | 90.1938 | 71.4627 | 60.7924 | 0.5233 | |
PGRP | Single | 75.99 | 29.2185 | 22.9179 | 20.0357 | 0.0000 |
Double | 21.35 | 35.7026 | 23.9630 | 20.1957 | 0.0767 | |
Triple | 17.34 | 63.1126 | 42.0299 | 36.8646 | 0.5467 |
Order | Threshold Value | 95% Confidence Interval | |
---|---|---|---|
TGRP | First (i.e., TLR1) | 793.12 (CNY million) | (771.65, 837.22) |
Second (i.e., TLR2) | 1836.00 (CNY million) | (1816.98, 1857.00) | |
PGRP | First (i.e., PLR1) | 0.0878 | (0.0836, 0.0913) |
Second (i.e., PLR2) | 0.1790 | (0.1271, 0.1810) |
URIG | ||
---|---|---|
Model 1 | Model 2 | |
Density (TGRP < TLR1; PGRP < PLR1) | 14.2610 *** | 10.9056 *** |
(2.1727) | (2.2307) | |
Density (TLR1 ≤ TGRP < TLR2; PLR1 ≤ PGRP < PLR2) | 2.3121 *** | 1.5104 |
(0.8254) | (1.1186) | |
Density (TGRP ≥ TLR2; PGRP ≥ PLR2) | −0.7214 ** | −0.5823 * |
(0.3201) | (0.3265) | |
Control variables | YES | YES |
County FE | YES | YES |
Year FE | YES | YES |
Constant | 10.6047 *** | 8.9891 *** |
(3.2694) | (3.5306) | |
Observations | 1136 | 1136 |
R-squared | 0.8224 | 0.8142 |
F statistic | 200.8200 | 189.7500 |
5% | 10% | 25% | 50% | 75% | 90% | 95% | |
---|---|---|---|---|---|---|---|
TGRP | 1902.98 | 2848.05 | 5543.92 | 8677.61 | 15,407.29 | 24,054.81 | 29,103.42 |
PGRP | 0.1324 | 0.2141 | 0.3675 | 0.5763 | 0.8693 | 1.1584 | 1.3338 |
URIG | ||||
---|---|---|---|---|
Model 1 | Model 2 | Model 3 | Model 4 | |
Density_I (TGRP < TLR1_I; PGRP < PLR1_I) | 34.3493 *** | 21.2736 *** | ||
(6.2771) | (4.2956) | |||
Density_I (TLR1_I ≤ TGRP < TLR2_I; PGRP ≥ PLR1_I) | 6.4016 *** | 0.3926 | ||
(1.7163) | (0.6557) | |||
Density_I (TGRP ≥ TLR2_I) | 0.0274 | |||
(0.6289) | ||||
Density_C (TGRP < TLR1_C; PGRP < PLR1_C) | 13.3697 *** | 9.4921 *** | ||
(2.0787) | (1.6358) | |||
Density_C (TLR1_C ≤ TGRP < TLR2; PGRP ≥ PLR1_C) | 2.5305 *** | −0.5784 ** | ||
(0.9329) | (0.2644) | |||
Density_C (TGRP ≥ TLR2_C) | −0.7302 *** | |||
(0.2500) | ||||
Control variables | YES | YES | YES | YES |
County FE | YES | YES | YES | YES |
Year FE | YES | YES | YES | YES |
Constant | 11.3369 *** | 9.7444 *** | 10.0421 *** | 9.3757 *** |
(3.5430) | (4.2956) | (3.1807) | (3.2982) | |
Observations | 1136 | 1136 | 1136 | 1136 |
R-squared | 0.8208 | 0.8106 | 0.8195 | 0.8091 |
F statistic | 193.7400 | 194.0500 | 194.6700 | 201.7600 |
Control Variables | TGRP as Threshold Variable | PGRP as Threshold Variable | ||||
---|---|---|---|---|---|---|
p-Value | TLR1 | TLR2 | p-Value | PLR1 | PLR2 | |
Policy support | 0.0000 | 793.12 | 1864.72 | 0.0000 | 0.0635 | 0.1089 |
Policy support + Education, healthcare, and welfare + Fiscal revenues and expenditures | 0.0000 | 793.12 | 1836.00 | 0.0000 | 0.0878 | 0.1790 |
Policy support + Education, healthcare, and welfare + Fiscal revenues and expenditures + Residents’ savings + County size | 0.0000 | 793.12 | 1836.00 | 0.0000 | 0.0878 | 0.1790 |
URIG | ||||||
---|---|---|---|---|---|---|
Model 1: All | Model 2: TGRP > TLR2 | Model 3: PGRP > PLR2 | ||||
Step 1 | Step 2 | Step 1 | Step 2 | Step 1 | Step 2 | |
IV | −0.0151 *** | −0.0167 *** | −0.0179 *** | |||
(0.0029) | (0.0029) | (0.0029) | ||||
Density | −1.5796 | −2.3347 * | −3.3394 *** | |||
(1.6465) | (1.4095) | (1.3911) | ||||
Control variables | YES | YES | YES | YES | YES | YES |
County FE | YES | YES | YES | YES | YES | YES |
Year FE | YES | YES | YES | YES | YES | YES |
Observations | 1136 | 1136 | 1000 | 1000 | 984 | 984 |
F statistic | 27.4100 | 199.2100 | 34.2400 | 179.7900 | 39.0700 | 178.3300 |
Kleibergen-Paap rk LM statistic | 16.0160 *** | 18.1580 *** | 18.3010 *** | |||
Cragg-Donald Wald F statistic | 25.1370 *** | 29.4570 *** | 31.1370 *** | |||
Kleibergen-Paap rk Wald F statistic | 27.4110 *** | 34.2400 *** | 39.0660 *** | |||
Hansen J statistic | 0.0000 | 0.0000 | 0.0000 |
URIG | |||||
---|---|---|---|---|---|
ORDP | CTR | HSR | Character | Weight | |
Model 1 | Model 2 | Model 3 | Model 4 | Model 5 | |
Density (TGRP < TLR1) | 14.5621 *** | 14.2998 *** | 14.1771 *** | 15.1551 *** | 16.7455 *** |
(2.2492) | (2.1721) | (2.1663) | (2.1030) | (2.6733) | |
Density (TLR1 ≤ TGRP < TLR2) | 2.5326 *** | 2.3187 *** | 2.2203 *** | 2.2795 *** | 2.7434 *** |
(0.8197) | (0.8246) | (0.8323) | (0.8402) | (0.9420) | |
Density (TGRP ≥ TLR2) | −0.5461 * | −0.7245 ** | −0.7517 ** | −0.6886 ** | −0.7064 * |
(0.3167) | (0.3185) | (0.3194) | (0.3313) | (0.3931) | |
ORDP | −0.1250 *** | ||||
(0.0374) | |||||
CTR | −0.1514 * | ||||
(0.0889) | |||||
HSR | 0.0410 | ||||
(0.0363) | |||||
Control variables | YES | YES | YES | YES | YES |
County FE | YES | YES | YES | YES | YES |
Year FE | YES | YES | YES | YES | YES |
Constant | 9.7458 *** | 10.5715 *** | 10.4036 *** | 10.1774 *** | 10.7103 *** |
(3.1472) | (3.2670) | (3.2894) | (3.3036) | (3.3301) | |
Observations | 1136 | 1136 | 1136 | 1136 | 1136 |
R-squared | 0.8260 | 0.8235 | 0.8228 | 0.8339 | 0.8221 |
F statistic | 189.1300 | 187.2800 | 187.9800 | 206.7900 | 200.4000 |
Belt | Structure | |||
---|---|---|---|---|
Yes | No | Advanced | Backward | |
Model 1 | Model 2 | Model 3 | Model 4 | |
Density (TGRP < TLR1) | 14.5680 *** | 10.8130 *** | 13.5583 *** | 20.7037 *** |
(3.2413) | (2.8417) | (2.2958) | (4.4770) | |
Density (TLR1 ≤ TGRP < TLR2) | −1.5360 *** | 1.5669 | 2.1487 ** | −0.3823 |
(0.4180) | (1.2122) | (1.0481) | (0.4273) | |
Density (TGRP ≥ TLR2) | −0.5126 | −0.8716 | −1.1436 ** | |
(0.4063) | (0.6562) | (0.4892) | ||
Control variables | YES | YES | YES | YES |
County FE | YES | YES | YES | YES |
Year FE | YES | YES | YES | YES |
Constant | 12.8523 | 11.7550 *** | 9.4681 ** | 12.3007 ** |
(8.3723) | (2.9748) | (4.4517) | (4.8445) | |
Observations | 648 | 488 | 382 | 754 |
R-squared | 0.8228 | 0.8583 | 0.8710 | 0.8018 |
F statistic | 139.9600 | 108.6100 | 110.1000 | 132.9200 |
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Cui, M.; Wang, R.; Ji, W.; Zheng, F. The Non-Linear Impact of Highway Improvements on the Urban–Rural Income Gap in Underdeveloped Regions: A Mixed-Methods Approach. Sustainability 2025, 17, 1640. https://doi.org/10.3390/su17041640
Cui M, Wang R, Ji W, Zheng F. The Non-Linear Impact of Highway Improvements on the Urban–Rural Income Gap in Underdeveloped Regions: A Mixed-Methods Approach. Sustainability. 2025; 17(4):1640. https://doi.org/10.3390/su17041640
Chicago/Turabian StyleCui, Mengyi, Ruonan Wang, Wei Ji, and Fengtian Zheng. 2025. "The Non-Linear Impact of Highway Improvements on the Urban–Rural Income Gap in Underdeveloped Regions: A Mixed-Methods Approach" Sustainability 17, no. 4: 1640. https://doi.org/10.3390/su17041640
APA StyleCui, M., Wang, R., Ji, W., & Zheng, F. (2025). The Non-Linear Impact of Highway Improvements on the Urban–Rural Income Gap in Underdeveloped Regions: A Mixed-Methods Approach. Sustainability, 17(4), 1640. https://doi.org/10.3390/su17041640