Abstract
Object: Logistics became a very crucial business in many countries. Meanwhile, the main transport routes connecting the continents of Asia and Europe pass through the territory of Kazakhstan. In this sense, Kazakhstan's geographical location is of commercial importance. Logistics amount to the 20% to 30% of the gross domestic product (GDP) in developed countries. This study aims to evaluate the effect of the changes in gross domestic product (GDP) on the developments in the transportation sector by analyzing the relation between the GDP and major indicators of the transportation sector.
Methods: The data obtained from this study is evaluated using time series analysis and regression analysis methods.
Findings: The transportation system is an important part of the infrastructure of Kazakhstan and has a great impact on the level of development of the country's economy. Therefore, analyzing these developments is very important both for understanding the development of the transport sector and for predicting the future of the sector. In this study, the relationship between the variables considered as the main indicator in the transportation sector and the gross national product was analyzed and the effect of the development in the gross national product on the developments in the transportation sector was determined.
Conclusions:H1a: The effect of GDP on FRTRANS is explained with the linear regression model; H1b: The effect of GDP on FRTTRANS is explained with the linear regression model; H1c: The effect of GDP on PSCTRANS is explained with the linear regression model; H1d: The effect of GDP on PSCTTRANS is explained with the linear regression model; H1e: The effect of GDP on FT_RAIL can't be explained with the linear regression model; H1f: The effect of GDP on PT_RAIL can't be explained with the linear regression model.
Introduction
Kazakhstan is a country located in the intersection of major transportation routes and is one of the major players in the global retail markets China, Russia, and Eastern and Western Europe. Hence, it holds promise as a possible route and location for modern logistics centers (LC) that will serve the new Silk Road. There are five international transit railway routes, six international transportation corridors, and many highcapacity pipelines within its borders. New international logistics centers that will be established by the Eurasian Economic Community (EurAsEC) until 2020 will also create additional prospects for the logistics services market in Kazakhstan (evrazes.com, 2018).
As such, the task of developing the transportation and logistics infrastructure continues to be relevant. For Kazakhstan, it is especially important to establish a logistic system based on regional centers. Such a system will improve the efficiency of the existing transportation infrastructure.
In Kazakhstan, the development of logistics effects, before anything else, the dynamics of the economic development, which requires the universalization of the transport system for it to serve the logistical needs adequately. Whereas the average GDP growth was 10,2 % in the 20062007 period, it became 2.3% and 6%, respectively in the 20082009 and 20102014 periods (www.stat.gov.kz, 2018).
The economic growth of Kazakhstan raised to 4% in 2014 with a balanced and widespread enlargement in all sectors of the economy. With the contribution of various positive factors, such as high global oil prices, a moderate increase in the oil production, continuing fiscal stimulus, and better global economic conditions, the national GDP is expected to grow 3.5% to 4% in 2018. In addition, the anticipated mediumterm GDP growth in the 20182022 period is 3.7%.
The transportation infrastructure of Kazakhstan supports all kinds of transportation modes: such as railways, highways, pipelines (oil and gas lines), maritime lines (river and sea), and airways. In turn, Kazakhstan has many logistics capabilities that serve these modes: such as train stations, airports, service providers, repair and maintenance services, transport workers, and passenger services (Panasyuk et.al. 2013).
Transportation sector plays an important role in the Kazakhstan economy. The reason behind this fact is that Kazakhstan has vast lands, so its economy is commodity based. Railway transportation is the basis of the transportation infrastructure of the country with a freight volume of 237 billion tons/kilometer in 2016 (46%). This ratio is 31%, 22%, and 1% respectively for road transportation, pipeline transportation, and air and sea transportation.
Performance of the Kazakhstan logistics sector both in international and national trade is crucial for its national economic development. According to the 2018, World Bank Report, Kazakhstan ranked 71 among 160 countries in terms of logistics performance index (LPI). When compared with its status in 2016 (rank 77), this is an upward movement of six lines, and an upward movement of 17 lines when compared with its status in 2014 (rank 88). Kazakhstan improved and modernized its transportation infrastructure by investing to railroads, roads, and logistics infrastructure. Thus, Kazakhstan effectively integrates with global trade and made good headway in developing its transportation infrastructure (lpi.worldbank.org, 2018).
An important tool for the development of the logistics sector of the Republic of Kazakhstan is the investments in the logistics infrastructure (logistics centers, logistics parks, logistics areas, distribution centers, depots, etc.). According to the State Program on the development and integration of the transportation infrastructure until 2020 and the Transportation Strategy, 2015 (online.zakon.kz, 2018), the Republic of Kazakhstan is planning to build Transportation and Logistics Centers all around the country.
There are a lot of logistics centers and free trade areas in Kazakhstan. The best knowns are the High Tech Logistics Center in Almaty and DAMUAlmaty Industrial Logistics Center. The first one is used to transport the products imported from Russia and Europe to inland and the other Central Asian countries. Whereas the second provides integrated logistics services such as storage, shipping, custom procedures, and repackaging. Besides these, there are two TLC's in Astana and Shymkent. In addition, four more will be built in Aktobe and Pavlodar.
Whereas Aktobe TLC mostly handles transit cargos from Russia and Europe, Astana TLC handles cargos sent to Russian inland. DAMU depots in Almaty are only leased for storage. This terminal mainly handles cargos going to Central Asia, Mongolia, and China. Cargos to and from China (imports and exports) go to Dostik and Khorgos. Exports to the U.S.A. and Africa are sent through the port in Bandar Abbas and imports coming from there are handled in this port. Secondhand cars are mostly imported from the U.S.A.
The construction of Shymkent TLC (25 thousand meter square) cost approximately 15.8 billion KZT and was financed by the Development Bank of Kazakhstan. This center complies with the requirements for an Aclass storehouse according to the international Knight Frank classification. The estimated area required to meet the storage and transportation needs of the southern region is 1 million meter squares. The volume of goods increased from 111 million tons in 2011 to 155 million tons in 2015 (www.sk.kz, 2018).
International Road Transportation Union has 317 member firms in Kazakhstan. International Transportation giants such as ECW Logistics (Netherlands), TKA Logistics (Germany), and Unico has branch offices in Kazakhstan. However, freight transports from Russia is mostly (approximately 90%) done by small firms. The biggest of these are Selta LLC, Delovye Linii LLC, and Sovtransauto Group. The financial statements of these firms are not open to the public.
One can observe important developments in the transportation sector of Kazakhstan, especially after 2007. In parallel with the developments in its national economy, big steps are taken in the transportation sector, both in terms of its economic effect and its technical backbone. It is crucial to analyze these developments both to understand the development of the transportation sector and to estimate the future of the sector. This study aims to evaluate the effect of the changes in gross domestic product (GDP) on the developments in the transportation sector by analyzing the relation between the GDP and major indicators of the transportation sector.
The main hypothesis of this study is: H1: In Kazakhstan, GDP effects the developments in the transportation sector. We developed six more subhypotheses: H1a: The effect of GDP on the variable FRTRANS is explained with the linear regression model. H1b: The effect of GDP on the variable FRTTRANS is explained with the linear regression model. H1c: The effect of GDP on the variable PSCTRANS is explained with the linear regression model. H1d: The effect of GDP on the variable PSCTTRANS is explained with the linear regression model. H1e: The effect of GDP on the variable FT_RAIL is explained with the linear regression model. H1f: The effect of GDP on the variable PT_RAIL is explained with the linear regression model.
Literature Review
Nowakowski (Nowakowski, 2011) analyzed the projects proposed for the European Logistics Excellence Award in 2011 and formulated the trends of current logistics technologies applied by companies. He also presented the general assumptions of the winning projects.
Yerniyazova's (Yerniyazova, 2012) study has dealt with the fundamentals of state regulation of the transport industry and the experience of foreign countries in this field. The current situation and development trends of railway transport in the Republic of Kazakhstan are analyzed together with the current system of state regulation, aiming for further optimization.
Bodaubayeva's (Bodaubayeva, 2015) study addressed the theoretical and practical issues of the formation of industrial and logistics parks and focused on the idea of logistics integrating production, transportation, storage and distribution into a uniform commodity distribution chain. In addition, it offers a functioning model of industrial and logistics parks, which includes 4 blocks as logistics, industrial, innovative and administrative and service, and analyzes the development of logistics centers in Kazakhstan.
The study of Myrkhalykov et al. (Myrkhalykov et al., 2016) deals with the problem of evaluation and the current state of the transport system and its role in increasing the adaptability of the textile industry. The basis of the study of the development trends and prospects of the transport system and its role in increasing the adaptability of the textile industry is a modern economy that aims to increase the efficiency of individual sectors as a whole. The article draws attention to the transport system management experience and draws conclusions about the role of the textile industry in enhancing its adaptability.
Raimbekov et al. (Raimbekov et al., 2016) discusses Kazakhstan's freightproducing economy in their study. It covers transportation and logistics issues related to the necessary criteria of such services. Economic development of the production chain occurs. Suggestions are developed on the improvement of logistics services and efficiency of logistics units in the economic sectors that generate freight.
In the study of Muftigaliyeva et al. (Muftigaliyeva et al., 2016) strategic management questions, features of the formation and development of the railway industry of the Republic of Kazakhstan are shown. Special attention has also been paid to evaluating the strategic management of the real economy sector.
Suits et al. (Suits et al., 2017) examine the current situation of the transportation and logistics system and the problems from its location in order to increase the efficiency of the textile industry. The basis of the study was the current results of the authors in this field and the current trends in the modern course of the country's economy. Based on the programs and concepts adopted regarding the development of the industry, the course aims to increase the effectiveness of individual industries and their totals as a whole.
Daubayev et al. (Daubayev et al., 2017) states in their study that the transportation complex makes a significant contribution to the GDP of many developing countries. However, he also says that not all modern transport models fully meet the needs of modern society. Therefore, the purpose of his work is to improve the organizational and economic mechanisms of the development of the transport industry in the Republic of Kazakhstan and to address various technologies for it. The authors looked at the potential transport accessibility of the most demanding routes to create a universal transport infrastructure optimization model. Astana's transportation model was developed using mathematical modeling methods. The practical value of this research is that policy makers can use their results to optimize shipping flows and avoid additional shipping costs.
The article by Tasmaganbetov and Tasmaganbetova (Tasmaganbetov & Tasmaganbetova, 2018) examines the role of the transport potential of the Republic of Kazakhstan in the development of logistics infrastructure in market conditions and aims to ensure the efficient movement of material flow, the determined role of information flow in the logistics system. The article also describes the role of logistics in the planning, management and control of the movements of materials, information and financial resources in different systems. In addition, the activities of Kazakhstan transport and logistics centers providing logistics services in the railway sector are analyzed.
Kunyazov (Kunyazov, 2019) discusses current priorities for the development of macro logistic systems of the Republic of Kazakhstan, which contributes to the development of innovation and import substitution in the industry and business sector. In the process of conducting the research, taking into account the international integration factors, existing production areas and macro logistic problems that hinder innovation within the framework of the functioning of vertical macro systems in the Republic of Kazakhstan were identified, and development and import substitution in economic sectors were formulated. Practical recommendations have been developed for each aspect that predetermines the increasing role of macro logistics systems in the innovative development of the economy and the implementation of import substitution business projects.
Allahverdieva et al. (Allahverdieva et al., 2019) analyze the peculiarities of the organization and development of the national transport system of the Republic of Kazakhstan, the current problems in their article. The article also includes the benefit of GDP in the transportation sector of the Republic of Kazakhstan in the transportation sector of the Republic of Kazakhstan, freight and turnover of the Republic of Kazakhstan, wage capacity and wage return, the depreciation rate of fixed assets in the transportation sector, lighting and labor productivity. The indicators, yield and capacity of the transportation sector in the Republic of Kazakhstan, the efficiency of the transportation sector, passenger traffic and passenger turnover in the Republic of Kazakhstan have been analyzed and evaluated.
In the article by Baibossynov et al. (Baibossynov et al., 2019), the main aspects of the further improvement of the socioeconomic modernization of Kazakhstan are presented, the role of transport and logistics infrastructure is growing rapidly, taking an international dimension, and highlighting transport transit as one of the leading functions of the national transport system. Accordingly, it is necessary to determine the main trends in the development of the international logistics services market. As the Eurasian Economic Union, it is necessary to determine the impact aspects of the "Silk Road Economic Belt" initiatives in the development of the integration unions and Kazakhstan's transportation and logistics infrastructure.
The study by Zhen et al. (Zhen et al., 2019) solves a strategic level decision problem in determining the optimum location of logistics centers, taking into account the scale of facilities in an integrated closed loop supply chain network.
Chen et al. (Chen et al., 2019), in their study named 'Kerry Logistics  Paving the New Silk Road', touched upon China's logistics strategies, logistics expenditures, Silk Road, and its future. It also says that China's logistics spending is around 14.5% of its GDP, which is higher than that of other developing countries such as India and South Africa.
Safdar et al. (Safdar et al., 2020) have studied and developed a model to reduce environmental impact and increase social and economic impacts in reverse logistics network design. They considered a multipurpose reverse logistics network and triple result approach while developing the model.
Beknazarov et al. (Beknazarov et al., 2020) aimed to investigate the factors affecting the workforce in the supply chain in their study. In the study, they took the labor market of the Turkestan region of the Republic of Kazakhstan as the indicator region. According to the results, agricultural and industrial supply chains dominate the region and the former is significantly widespread. In addition, common factors affecting the labor surplus of a region (country) have been identified in the study based on the example of the region in question. The main factors are the high natural and mechanical population growth rate; high human resource growth rates, outpacing jobs growth; the dominant rural population; a deeper crisis in traditional industries and reduced business demand for the workforce.
Methods
We used data regarding six major indicators of the transportation sector and GDP between 2007Q1 and 2018Q2 (Table 1). We first analyzed the variables for stationarity. Nonstationary variables are transformed to stationary series with differential operations. Resulting series are used to create a linear regression model, which will be used to analyze the effect of GDP on six individual variables.
The time series is a cluster of values for a variable in time order; most commonly, it is taken at successive equally spaced points in time (Sevüktekin & C'ιnar, 2014). The values do not need to be observed in equally spaced points in time. However, it is important for a healthy analysis.
In this study, we used the augmented DickeyFuller test to analyze the stationarity. DickeyFuller Test accepts the series of the null hypothesis (H_{0}) as nonstationary (unit root exists). According to this hypothesis, big values of test statistics support theH _{0} hypothesis.
A regression analysis aims to estimate the relationships between a dependent variable and one or more independent variables. When the degree of association is analyzed, the variables in question are classified into two groups, namely dependent and independent variables. Independent variables are the ones that can change without external intervention. Therefore, “results” are the ones that are classified as the dependent variables. It's important to note that there is a causal relationship between an independent and dependent variable. This is called the causality relation (Nakip, 2013).
The significance of a regression model is determined by an ANOVA (F) test. A high statistical significance shows that the regression function describes the relationship between the independent and the dependent variable accurately, thus can be used for prediction. The statistical significance of variable coefficients (Beta coefficient) can be determined with a Student's ttest.
In the regression analysis, the explanatory force of the independent variable on the dependent variable is determined using the corrected coefficient of determination (corrected Rsquare). The square of the correlation coefficient (in case of a multivariable regression, multicorrelation coefficient) is called the determination coefficient. In addition, the value of the determination coefficient, as calculated according to the number of dependent variables and data, is called the corrected coefficient of determination (corrected Rsquare). A high corrected Rsquare value proves the statically significance of the model. Therefore, it is used to compare models with different independent variables.
Variable (beta) coefficients of the model are interpreted as a correlation coefficient. A positive coefficient shows that the relation between the dependent and independent variables is in the same direction, whereas a negative coefficient shows that this relation is in the opposite direction. The standard regression coefficient shows the value of variables when converted to a standard normal variable. Witlessness of standard regression coefficients (independent of the measuring unit of variables) provides convenience in interpretation.
In a regression model using nonstationary variables, parameter estimations can be outside the reasonable limits and economical interpretation of results can be nonsensical even though we get significant t statistics and high determination coefficients In case of spurious regression, the differences between variables can be used to estimate the regression model (Akdeniz, 2012).
Results
Definitions of study variables are given in Table 1. We used six major indicators of Kazakhstan transportation sector as variables. In addition, we analyzed the effect of GDP on these variables using regression analysis.
Table 1. Explanations regarding the Variables Used in the Study
Variable Name 
Variable Definition 
GDP 
Gross Domestic Product 
FRTRANS 
Transportation of freight luggage, thsd. tons 
Frttrans 
Freight turnover, mln. ton/kms 
Psctrans 
Transportation of passengers, thsd. people 
PSCTTRANS 
Passenger turnover, mln.passenger/kms 
FT RAiL 
Freight turnover, mln. ton/kms 
PT RAiL 
Passenger turnover, mln.passenger/kms 
We provided explanatory statistics regarding these variables be given in Table 2. We used data belonging to 2007Q12018Q2 period. Minimum, maximum, median and standard deviation values for all variables are presented.
Table 2. Explanatory Statistics on the Variables
Minimum 
Maximum 
Median 
Std. Deviation 

GDP 
2536234,900 
17959216,600 
8010275,198 
3734611,540 
FRTRANS 
416255,770 
1133505,910 
763444,873 
205580,115 
Frttrans 
77115,960 
153493,900 
113467,333 
22111,827 
Psctrans 
2328337,700 
6083403,530 
4345824,803 
1176203,743 
PSCTTRANS 
25345,600 
72620,500 
50320,404 
14765,499 
FT_RAiL 
43956,600 
76130,600 
57236,066 
7595,411 
PT_RAiL 
2945,500 
6765,700 
4408,424 
949,684 
Stationarity of the variables is analyzed with the augmented DuckeyFuller test and resulting data is given in Table 3. Unit root test showed that the variable FT_RAiL is stationary. We also determined that the first difference of the variables FRTRANS, PT_RAiL and PSCTTRANS, and the second difference of the variables GDP, FRTTRANS and PSCTRANS are stationary.
Table 3. Analysis Results on the Stationarity of the Variables
Critical Values 
Results 

1% 
5% 
10% 
Tstatistic 
Pvalue 

GDP 
Level 
4,1985 
3,52362 
3,1929 
2,208653 
0,4724 
I. Difference 
4,1985 
3,52362 
3,1929 
2,794332 
0,2074 

II. Difference 
4,1985 
3,52362 
3,1929 
56,62221 
0,0000 

FRTRANS 
Level 
4,1985 
3,52362 
3,1929 
0,186267 
0,9913 
I. Difference 
4,19234 
3,52079 
3,19128 
14,85733 
0,0000 

frttrans 
Level 
4,1985 
3,52362 
3,1929 
1,58557 
0,7814 
I. Difference 
4,1985 
3,52362 
3,1929 
1,68803 
0,7385 

II. Difference 
4,1985 
3,52362 
3,1929 
16,73685 
0,0000 

ft_rail 
Level 
4,17564 
3,51308 
3,18685 
3,89485 
0,0204 
PT_RAIL 
Level 
4,17564 
3,51308 
3,18685 
2,252577 
0,4501 
I. Difference 
4,19234 
3,52079 
3,19128 
6,399821 
0,0000 

Psctrans 
Level 
4,1985 
3,52362 
3,1929 
0,784545 
0,9996 
I. Difference 
4,1985 
3,52362 
3,1929 
0,718535 
0,9648 

II. Difference 
4,1985 
3,52362 
3,1929 
13,97578 
0,0000 

Pscttrans 
Level 
4,19234 
3,52079 
3,19128 
0,736902 
0,9995 
I. Difference 
4,19234 
3,52079 
3,19128 
5,853327 
0,0001 
As a result, we used the stationary difference levels of variables for regression analysis.
Table 4. Linear Regression Model Findings between FRTRANS and GDP
Regression Coefficients 
Standard Regression Coefficients 
J 
P 

CONSTANT 
2301,624 
0,135 
0,894 

GDP 
0,027 
0,692 
6,206 
0,000 
R 
R square 
Corrected R square 
F 
P 
,692^{a} 
0,478 
0,466 
38,521 
,000^{a} 
When the explanatory variable (independent variable) is GDP, and the explained variable (dependent variable) is FRTRANS, the resulting linear regression model is given in Table 4. ANOVA test proved this model statistically significant. Besides the coefficient of determination (corrected) was 0.466. Therefore, in this model, GDP could explain the 46.6% of the variations in FRTRANS. Besides, there is a linear relation in the positive direction between these two variables as the correlation coefficient (0.692) proved. Student's t test showed that the coefficient for the GDP variable is statistically significant. According to these results, we wrote the formula for the regression line as FRTRANS = 2301,624 + 0,027xGDP. According to the standard regression coefficient, a onepoint increase in the GDP causes a 0.692 unit increase in FRTRANS.
Table 5. Linear Regression Model Findings between FRTTRANS and GDP
Regression Coefficients 
Standard Regression Coefficients 
J 
P 

CONSTANT 
1140,070 
0,600 
0,551 

GDP 
0,004 
0,780 
8,068 
0,000 
R 
R square 
Corrected R square 
F 
P 
,780^{a} 
0,608 
0,598 
65,088 
,000^{a} 
When the explanatory variable (independent variable) is GDP, and the explained variable (dependent variable) is FRTTRANS, the resulting linear regression model is given in Table 5. ANOVA test proved this model statistically significant. Besides the coefficient of determination (corrected) was 0.598. Therefore, in this model, GDP could explain the 59.8% of the variations in FRTTRANS. Besides, there is a linear relation in the positive direction between these two variables as the correlation coefficient (0.780) proved. Student's ttest showed that the coefficient for the GDP variable is statistically significant. According to these results, we wrote the formula for the regression line as FRTTRANS = 1140,070 + 0,004xGDP.According to the standard regression coefficient, a onepoint increase in the GDP causes a 0,780unit increase in FRTTRANS.
Table 6. Linear Regression Model Findings between PSCTRANS and GDP
Regression Coefficients 
Standard Regression Coefficients 
J 
P 

CONSTANT 
47507,704 
0,678 
0,502 

GDP 
0,099 
0,645 
5,470 
0,000 
R 
R square 
Corrected R square 
F 
P 
,645^{a} 
0,416 
0,402 
29,922 
,000^{a} 
When the explanatory variable (independent variable) is GDP, and the explained variable (dependent variable) is PSCTRANS, the resulting linear regression model is given in Table 6. ANOVA test proved this model statistically significant. Besides the coefficient of determination (corrected) was 0.402. Therefore, in this model, GDP could explain the 40.2% of the variations in PSCTRANS. Besides, there is a linear relation in the positive direction between these two variables as the correlation coefficient (0.645) proved. Student's ttest showed that the coefficient for the GDP variable is statistically significant. According to these results, we wrote the formula for the regression line as PSCTRANS = 47507,704 + 0,099xGDP. According to the standard regression coefficient, a onepoint increase in the GDP causes a 0,645unit increase in PSCTRANS.
Table 7. Linear Regression Model Findings between PSCTTRANS and GDP
Regression Coefficients 
Standard Regression Coefficients 
J 
P 

CONSTANT 
333,614 
0,403 
0,689 

GDP 
0,001 
0,388 
2,731 
0,009 
R 
R square 
Corrected R square 
F 
P 
,388^{a} 
0,151 
0,131 
7,459 
,009^{a} 
When the explanatory variable (independent variable) is GDP, and the explained variable (dependent variable) is PSCTTRANS, the resulting linear regression model is given in Table 7. ANOVA test proved this model statistically significant. Besides the coefficient of determination (corrected) was 0.131. Therefore, in this model, GDP could explain the 13.1% of the variations in PSCTTRANS. Besides, there is a linear relation in positive direction between these two variables as the correlation coefficient (0.388) proved. Student's ttest showed that the coefficient for the GDP variable is statistically significant. According to these results, we wrote the formula for the regression line as PSCTTRANS = 333,614+ 0,001xGDP. According to the standard regression coefficient, a onepoint increase in the GDP causes a 0,388unit increase in PSCTTRANS.
Table 8. Linear Regression Model Findings between PT_RAL and GDP
Regression Coefficients 
Standard Regression Coefficients 
J 
P 

CONSTANT 
23,110 
0,222 
0,825 

GDP 
0,000 
0,009 
0,056 
0,956 
R 
R square 
Corrected R square 
F 
P 
,009^{a} 
0,000 
0,024 
0,003 
,956^{a} 
When the explanatory variable (independent variable) is GDP, and the explained variable (dependent variable) is PT_RAIL, the resulting linear regression model is given in Table 8. ANOVA test failed to show any statistically significant relation in this model. As a result, GDP has no effect on PT_RAIL.
Table 9. Linear Regression Model Findings between FT_RAL and GDP
Regression Coefficients 
Standard Regression Coefficients 
J 
P 

CONSTANT 
57683,632 
50,772 
0,000 

GDP 
0,000 
0,042 
0,271 
0,788 
R 
R square 
Corrected R square 
F 
P 
,042^{a} 
0,002 
0,022 
0,073 
,788^{a} 
When the explanatory variable (independent variable) is GDP, and the explained variable (dependent variable) is FT_RAIL, the resulting linear regression model is given in Table 9. ANOVA test failed to show any statistically significant relation in this model. As a result, GDP has no effect on FT_RAIL.
Conclusions
The transportation sector is very important for Kazakhstan and is a rapidly developing sector in her economy. While some modes of transportation are characterized as an oligopoly (airline, railway, and pipeline transportation), other modes are characterized by free competition (railroad and naval transportation).
Transportation has shown rapid development in the last decade in the Republic of Kazakhstan, both because of her national market and her relations with other states. Sector plays an important role in the region both is economy and sociology. However, its development is not homogenous throughout the region.
When compared with developed countries, transportation sector of Kazakhstan is not competitive. Its share in GDP and total investments tends to drop; therefore, the sector does not have sustainable development.
In conclusion:
H1a: The effect of GDP on FRTRANS is explained with the linear regression model;
H1b: The effect of GDP on FRTTRANS is explained with the linear regression model;
H1c: The effect of GDP on PSCTRANS is explained with the linear regression model;
H1d: The effect of GDP on PSCTTRANS is explained with the linear regression model;
H1e: The effect of GDP on FT_RAIL can't be explained with the linear regression model;
H1f: The effect of GDP on PT_RAIL can't be explained with the linear regression model.
References
 Akdeniz, F. (2012). Olasilik ve istatistik. Adana: Nobel Kitabevi.
 Allahverdieva, L.M., Kurmanalina, A.A. & Таsmaganbetova, S.Zh. (2019). Features, problems and prospects of development of the national transport system of the Republic of Kazakhstan. Bulletin of the Karaganda university, Economy series, 2 (94), 212223.
 Baibossynov, S.B., Akenov, S.Sh. & Kasymova, N.Sh. (2019). Priority directions of development of transport and logistics infrastructure of Kazakhstan at the present stage. Bulletin of the Karaganda university Economy series, 3 (95), 201208.
 Beknazarov, B., Niyazbekova, R., Ilasheva, S., Statsenko, O., Turalina, S., Yessenbekova, S. & Assilov, S. (2020). Labor force and supply chains: Mutual influence of socioeconomic factors (Republic of Kazakhstan). International Journal of Supply Chain Management, 9 (3), 791798.
 Bodaubayeva, G. (2015). Formation of industrial and logistic parks in Kazakhstan. Conference paper of 4^{th} IEEE International Conference on Advanced Logistics and Transport, France, 4146.
 Chen, I.S.N., Luk, S.T.K. & Tao, J. (2019). Kerry LogisticsPaving the New Silk Road. Asian Case Research Journal, 23 (1), 153191.
 Daubayev, K., Kerimbek, A., Vermaganova, S., Aitkaliyeva, A., Zhalbinova, S., Jrauova, K., Kaltaev, A. & Sugurova, A. (2017). The transport model as a necessary condition for the construction of an efficient transport system. Espacios, 38 (54), 222230.
 Kunyazov, E.K. (2019). Ways to intensify innovation and import substitution in macro logistic systems of the Republic of Kazakhstan in the context of international integration. Bulletin of the Karaganda University, Economy series, 4 (96), 220230.
 Logistics Performance Index: Connecting to Compete. (2018). Retrieved from
 http://lpi.worldbank.org/intemational/global/2018, Access 01.12.2019.
 Muftigaliyeva, A., Kuangaliyeva, T., Ibyzhanova, A., Mirzageldy, K., Kaigorodzev, A., Baigabulova, K. & Sargaeva, N. (2016). Innovative approaches in the development of Kazakhstan railway industry. Journal of Advanced Research in Law and Economics, 7 (4), 851861.
 Myrkhalykov, Zh.U., Issambayeva, A.Zh., Yessirkepova, A.M. & Issayeva, G.K. (2016). Rating rank Kazakhstan in the transit transport communication with the standpoint of the development of the textile industry. Proceedings of Higher Educational Institutions, Technology Series of the Textile Industry, 3, 2532.
 Nakip, M. (2013). Pazarlamada Araştırma Teknikleri. Ankara: Seçkin Yayincilik.
 Nowakowski, T. (2011). Analysis of modern trends of logistics technology development. Archives of Civil and Mechanical Engineering, 11 (3), 699706.
 Panasyuk, M.V., Gafurov, I.R. & Novenkova, A.Z. (2013). Influence of international transport and logistics systems on economic development of the region. World Applied Sciences Journal, 27, 135–139.
 Raimbekov, Z., Syzdykbayeva, B., Yergaliyev, R. & Sarsenova, A. (2016). Development of logistics and supply chains in freightgenerating sectors of economy. Economic AnnalsXXI, 156 (12), 97100.
 Safdar, N., Khalid, R., Ahmed, W. & Imran, M. (2020). Reverse logistics network design of ewaste management under the triple bottom line approach. Journal of Cleaner Production, 272, 122132.
 Sevüktekin, M. & Çmar, M. (2014). Ekonometrik Zaman Serileri Analizi. Bursa: Dora Yayincilik.
 SocioEconomic Indicators of the Republic of Kazakhstan. (2019). Retrieved from http://www.stat.gov.kz/, Access 27.11.2019.
 State Program for the Development and İntegration of Transport İnfrastructure of the Republic of Kazakhstan till 2020: Kazakhstan Presidential Decree from 12.10.2014. (2014). Retrieved from
 https://online.zakon.kz/Document/?doc_id=31497811, Access 23.11.2019.
 Strategy of Creation and Development of İntemational Logistics Centers of the Eurasian Economic Community. (2008). Retrieved from http://evrazes.com/docs/view/434, Access 24.11.2019.
 Suits, V.P., Raimbekov, Z.H.S., Issambayeva, A.Zh., Agabekova, G.N. & Yessirkepova, A.M. (2017). Transport and logistics system as a development factor of the textile sphere of the republic of Kazakhstan. Proceedings of Higher Educational Institutions, Technology Series of the Textile Industry, 372 (6), 5461.
 Tasmaganbetov, A.B. & Таsmaganbetova, S.Zh. (2018). Contemporary issues of transport logistics development in Republic of Kazakhstan. Bulletin of the Karaganda University, Economy series, 2 (90), 108114.
 Transport Strategy of the Republic of Kazakhstan till 2015: Presidential Decree from 11.04.2006. (2006). Retrieved from https://online.zakon.kz/Document/?doc_id=30051598, Access 27.11.2019.
 The Research and Knowledge Management Department Strategy and Portfolio Investment Block of JSC “Samruk Kazyna”. (2017). Retrieved from https://www.sk.kz/research/?temp=full&id=272&year=2017, Access 23.11.2019.
 Yerniyazova, Z. (2012). Grounds for state regulation of transport system in the Republic of Kazakhstan. Actual Problems of Economics, 137 (11), 310320.
 Zhen, L., Sun, Q., Wang, K. & Zhang, X. (2019). Facility location and scale optimisation in closedloop supply chain. International Journal of Production Research, 57 (24), 75677585.