OJSOpen Journal of Statistics2161-718XScientific Research Publishing10.4236/ojs.2021.112019OJS-108681ArticlesPhysics&Mathematics Research on the Relationship between Chinese Express Delivery Industry and Economic Development Based on PVAR Model ShichangShen1JianmeiShen1School of Mathematics and Statistics, Qinghai Nationalities University, Xining, China08032021110232933629, March 202123, April 2021 26, April 2021© Copyright 2014 by authors and Scientific Research Publishing Inc. 2014This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/

Based on the panel vector autoregressive model (PVAR) and the panel data of China’s 31 provinces from 2010 to 2019, this paper conducts a quantitative analysis on the dynamic balance relationship between China’s express business volume and economic development status in recent 10 years. The results show that: Firstly, there is a long-term equilibrium relationship between the development level of express industry and the economic development level; Secondly, the relationship between them presents regional heterogeneity (that is, the East, Centre and the West show different characteristics); Finally, in the short term, the development of express delivery industry and economic development can well drive each other, but in the long term, this trend is not obvious, and the economic impact of express delivery industry has a certain lag.

Express Industry Economic Development PVAR Regional Effect1. Introduction

Express delivery industry, a new industry that has just developed in the 21st century, is an important part of logistics. It is characterized by its speed, which can deliver goods to the target place in a very short time. In recent years, with the development of long-distance e-commerce, China’s express industry has been developing every rapidly, and has been maintaining a relatively fast development level. In the context of the rapid development of the Internet economy, many buyers and sellers who have never met in the past complete transactions only through E-mail and remote payment, which has promoted the development of the express delivery industry. For exploring the relationship between express delivery industry and economic development, Meng Ran [1] (2014) analyzed the development process and current situation of output elasticity, through the study, the author finds that in the regions with high development level of express delivery industry, the output elasticity of express delivery industry to economic growth is large, while in the regions with low development level, the output elasticity of express delivery industry to economic growth is small, and in some regions, the express delivery industry has not played a role in economic growth. Han Song and Liu Jia [2] (2015) analyzed the impact of express delivery industry on the national economy from three aspects: the interdependence between industries, the ripple effect of industries and the employment-absorbing capacity. Yao Zhencheng and Liang Neifeng [3] (2018), based on grey correlation analysis, found that economic growth has a great promoting effect on express delivery industry, and the author thinks that the volume of express delivery presents a positive correlation to the economic development, and the economic development has a great role in promoting the volume of express delivery. Li Jie, Chen Bi and Zhong Yulan [4] (2017) took Shanghai as an example to construct a time series econometric model and carry out an empirical study with OLS method, it is found that there is a positive relationship between the development of express delivery industry and economic development, and the growth of express delivery volume will bring the corresponding regional GDP growth. Fan Meiling, Xu Haoxiong and Zhang Lin [5] (2018) selected the data since the economic crisis and built a linear model to analyze the relationship between the two based on the background of the great development of the Internet. In this paper, based on the relevant indicators of China’s express industry and economic development from 2010 to 2019, the panel vector autoregressive model is adopted to conduct a quantitative analysis on the dynamic balance relationship between them.

2. Theoretical Basis

Holtz-Eakin (1987) was the first to use the PVAR model to analyze the interaction between endogenous variables of panel data. What he studied was the vector autoregressive model of panel data, which uniformly regarded all variables as endogenous variables and analyzed the relationship between each variable and its lagging items. Using panel data, PVAR model can effectively solve the problem of individual heterogeneity and fully consider the effects of individual and time. The general manifestation of PVAR model is as follows:

y i t = α i , 0 + ∑ j = 1 p α i , j y i , t − j + γ i + θ t + ε i t (1)

where i and t represent region and time, j represents lag period, p stands for lag p period, γ i is individual effect, θ t is time effect, and ε i t is random disturbance term.

3. Empirical Analysis3.1. Data Selection

In this paper, GDP per capita (unit: 100 million yuan) and express business volume (Q, unit: 10 thousand pieces) were selected, with a time span from 2010 to 2019 (T = 10) and a cross section of 31 provinces, municipalities and autonomous regions in China (N = 31). The sample was selected from China Statistical Yearbook (wap.stats.gov.cn). Descriptive statistical results of the data are shown in Table 1. In this paper, according to the comprehensive development status of each province, province and autonomous region, it is divided into three regions (see Tan Xingfen [6] “The Division and Characteristics of the Three Economic Zones of China”): the eastern zone, the central zone and the western zone.

3.2. Unit Root Test

As the panel data used has the property of time series, in order to avoid false regression and false regression, unit root test after taking natural logarithm of the data found that the series was not stable at the 5% test level, so the results were not presented. Therefore, here, ADF test and PP-Fisher test are used to conduct unit root test on variable sum (∆ denoted by first-order difference), and the results are shown in Table 2. As can be seen from Table 2, the ADF statistics and PP-Fisher statistics of the sequence ΔlnGDP and ΔlnQ are both less than the critical value at the significance level of 5%, so the data is stable, that is, the two sequences after the first-order difference are I(1) sequences.

3.3. Co-Integration Test

Because, ΔlnGDP and ΔlnQ are I(1) sequences, the conditions for co-integration

Descriptive analysis of panel data
VariableObservationsMeanStd. Dev.MinMax
GDP31022,254.0319,254.78512.9107,986.9
Q31079,378.93189,461.1162.71,680,594
 Unit root test of panel data
VariablesMethodsΔlnGDPΔlnQ
AllADF−9.88304 (0.0000)**−3.58041 (0.0000)**
PP-Fisher−14.6591 (0.0000)**−4.97305 (0.0000)**
EastADF−4.41416 (0.0000)**−6.49047 (0.0000)**
PP-Fisher−6.20695 (0.0000)**−8.13232 (0.0000)**
CentreADF−5.37542 (0.0000)**−8.38310 (0.0353)**
PP-Fisher−1.90823 (0.0000)**−1.87852 (0.0302)**
WestADF−4.41285 (0.0000)**−4.54140 (0.0000)**
PP-Fisher−7.47213 (0.0000)**−5.53729 (0.0000)**

Note: ∆ indicates first-order difference; **represents a significance level of 5%.

test are met. The first-order difference of variables is stable, which is also the premise of the football co-integration test. The co-integration test of the data is performed, using the Pedroni test, the KAO test, and the Combined Individual test. The results are shown in Table 3. The results show that at the significance level of 5%, there is a co-integration relationship between and sequence, indicating that there is a long-term dynamic equilibrium relationship between the development of express industry and economic development.

3.4. Establishment and Estimation of PVAR Model3.4.1. Optimal Delay Selection

Usually, the optimal lag order of the model is determined according to the information criteria AIC, BIC and HQIC. The results are shown in Table 4, and the optimal lag order of the three different economic belts in the east, the centre and the west is determined to be 5, 4 and 4 respectively.

3.4.2. Granger Causality Test

Granger causality test was further carried out on the ΔlnGDP and ΔlnQ sequence, as shown in Table 5. It’s all mutual Granger causality of the East, the Centre and the West region. On this basis, the impulse response analysis and variance decomposition results of the model are shown in Figures 1-3 and Table 6, respectively.

Co-integration test (test results and test results)
MethodStatisticProb
PerpdroniPanel v-Statistic4.130149 (0.0000)
Panel rho-Statistic−1.849579 (0.0322)
Panel PP-Statistic−4.642120 (0.0000)
Panel ADF-Statistic−3.373187 (0.0000)
Group rho-Statistic1.515126 (0.9351)
Group PP-Statistic−3.034731 (0.0012)
Group ADF-Statistic−5.520373 (0.0000)
KaoADF−3.594079 (0.0002)
Hypothesized No. of CE(s)Fisher Stat. * from trace test)Fisher Stat. * (frommax − eigen test)
None489.7 (0.0000)444.8 (0.0000)
At most 1179.6 (0.0000)179.6 (0.0000)
 Optimal lag order
AreaLag orderAICBICHQIC
East5−0.972754*0.556865*−0.390266*
Centre4−3.89645−2.21501*−3.35854
West40.470693*1.99068*1.02027*
 Granger casuality test
H0EastCentreEast
The former sequence is not the Granger cause of the latterlag = 5lag = 4lag = 4
StatisticStatisticStatistic
lnGDP-lnQ2660.5 (0.0000)275.13 (0.0000)23.851 (0.0000)
LnQ-lnGDP4174.2 (0.0000)400.96 (0.0000)88.653 (0.0000)
ConclusionRejectRejectReject
 Sub-regional variance decompositions
AreaEastCentreWest
sVariableslngdplnqlngdplnqlngdplnq
1lngdp1.0000.0001.0000.0001.0000.000
1lnq0.4450.5550.1800.8200.1330.867
2lngdp0.9900.0100.7520.2480.9820.018
2lnq0.5800.4200.3320.6680.5210.479
3lngdp0.5970.4030.5380.4620.9650.035
3lnq0.4830.5170.3430.6570.7710.229
4lngdp0.6410.35930.5980.4020.9540.046
4lnq0.4830.5170.3440.6560.7470.253
5lngdp0.8740.1260.6010.3990.9560.044
5lnq0.7560.2440.3480.6520.8880.112
6lngdp0.6490.3510.6100.3900.9350.065
6lnq0.7260.2740.3200.6800.8830.117
7lngdp0.5800.4200.5730.4270.9290.071
7lnq0.7760.2240.3230.6770.8860.114
8lngdp0.7330.2670.5540.4460.9310.069
8lnq0.7470.2530.3200.6800.8900.110
9lngdp0.8410.1590.5540.4460.9310.069
9lnq0.7800.2200.3240.6760.8900.110
10lngdp0.6810.3190.5520.4480.9340.066
10lnq0.7580.2420.3310.6690.8920.108
3.4.3. Impulse Response Analysis

The impulse response measures the short-term effect of one variable on another after a shock of one unit standard deviation. Figure 1 shows the impulse response of the eastern region. Figure 1 shows the response of the express industry to the impact of the economic level, which is positive on the whole, indicating that the development of the express industry in the eastern region has a positive impact on the economic growth. The figure on the right shows the response to the impact of economic growth on the development of express delivery industry, which is negative on the whole, indicating that the development of express delivery mainly depends on itself and the driving effect of economic development on it is very limited. Similarly, it can be seen from Figure 2 and Figure 3 that the express delivery industry in central and western China has no obvious influence on the economic growth, while the economic growth has a significant impact on the development of the express delivery industry.

3.4.4. Variance Decomposition

Variance decomposition is used to analyze the contribution of structural shocks to endogenous variables. It is a deep description and analysis of the interaction and change trend of each variable at present and in the future. As can be seen from Table 6, in terms of economic development, the contribution rate of economic level in the eastern, central and western regions was 100% at the beginning, and then declined somewhat. The contribution rate of express delivery industry development level was zero at the beginning, then also increased. But the express industry development and economic development in the mutual influence between difference is obvious, such as the eastern region, the express industry development a rise will affect the economic development, and with the increase of period, express delivery industry contribution rate showed a trend of overall rising steadily, shows that the eastern region express industry plays a positive effect on economic growth. However, the economic development did not drive the development of express delivery industry at the beginning, and although the influence of economic development on the express delivery industry has increased, the influence is small, indicating that the development of the express delivery industry mainly depends on itself, and the driving effect of the economy on it is limited. However, the express delivery industry in central and western China has little or no impact on the economic growth, while the economic growth has some help to the development of the express delivery industry.

4. Conclusions and Suggestions

This paper features three economic belt regions on the express industry development and economic development by using the 2010 to 2019 panel data of 31 provinces. The study found that: 1) There is a long-term dynamic equilibrium relationship between them, and they are each other’s granger causality. 2) In the east express industry plays a positive effect on economic growth, but economic development leading role on the development of the eastern region express industry co., LTD. 3) The central and western regions express development impact on economic growth is on the decline, effect is very small, but economic growth has a very good role to express industry development.

Based on this, the following two suggestions are proposed:

1) Strengthen the construction of express industry development system, especially in the eastern region. In the long run, the development of express delivery industry will become a carriage driving economic growth, so it is necessary to speed up the development system of the Courier industry and strengthen its services.

2) Accelerate the pace of economic construction, especially in the western region. Economic development will drive the development of the express delivery industry. Therefore, the central and western regions can promote the development of the express delivery industry by making use of the utilization efficiency of manpower or adjusting the economic structure.

Fund

This work is supported by the National Science Foundation of China (No.11561056).

Conflicts of Interest

The authors declare no conflicts of interest regarding the publication of this paper.

Cite this paper

Shen, S.C. and Shen, J.M. (2021) Research on the Relationship between Chinese Express Delivery Industry and Economic Development Based on PVAR Model. Open Journal of Statistics, 11, 329-336. https://doi.org/10.4236/ojs.2021.112019

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