With the rapid development of the world economy, some developing countries only pay attention to the growth rate of GDP, but ignore the importance of sustainable development. The extensive economy, which relies on a lot of energy to drive economic growth, can no longer meet the development requirements of a low-carbon economy. Fundamentally changing this mode of economic growth, optimising the energy structure will become an effective key path. This paper starts with the current situation of the government's development of a low-carbon economy, and analyses the factors affecting it. In order to develop a low-carbon economy, reducing haze pollution and greenhouse gas emissions, energy conservation and emission reduction work of the logistics industry becomes imminent. To analyse the current situation of logistics energy efficiency and structure, qualitative and quantitative research methods are used to measure the impact of these indicators on a low-carbon economy, predict the total energy demand and supply under different scenarios, and formulate the best scenario to optimise the energy structure. Finally, the government put forward the grey prediction management scheme for the development of a low-carbon economy.

#### Keywords

- translog function
- low carbon economy
- grey prediction

#### MSC 2010

- 26B99

A low-carbon economy fully balances the contradiction between high-speed economic growth and the gradual increase of greenhouse gas emissions, and is highly coupled with technology, environment, economy, and the industry sectors [1, 2]. It is a comprehensive economic form. This concept first appeared in researchers’ field of vision, and it was stated in the energy White Paper in 2003 that ‘it is essential to make Britain a low-carbon economy country’ [3]. On 16 February 2005, the Kyoto Protocol first restricted greenhouse gas emissions in the form of regulations [4]. The formulation of the Bali Roadmap in 2007 clarified the shared responsibility of each country based on the ratio, requiring developed countries to reduce greenhouse gas emissions by 25–40% by 2020 [5]. At this point, carbon emissions and related issues have become a political issue that is generally valued, and countries have begun to explore new driving forces and models for economic development [6, 7].

Denmark is the first country to implement a carbon tax, and its per capita carbon emissions have fallen sharply since 1996. EU-ETS, as the world's most active carbon emissions trading market, was started in the European Union in 2005. After implementing this policy, the per capita carbon emissions decline trend is obvious, and the EU is expected to achieve the goal of 21% carbon emissions reduction in the 2020s [8]. After the United States launched the Regional Greenhouse Gas Emission Reduction Initiative (RGGI) in 2009, the per capita carbon emissions declined rapidly. The ‘low-carbon economy’ is no longer the exclusive property of developed countries, but has gradually become an inevitable trend of global development [9].

With the continuous development of the economy and society, people are benefiting from development while facing increasingly serious environmental pollution, energy shortages and climate change [10, 11]. Especially, global warming caused by greenhouse gases such as carbon dioxide has become the international community.

One of the most serious challenges currently facing people's understanding of the impact of greenhouse gas emissions on the environment has also gone through a long process. The Swedish scientist, Arrhenius, had already found the possibility of global warming by burning fossil fuels through related research as early as 1896, because the use of fossil fuels would increase the concentration of carbon monoxide in the atmosphere, but people were not aware of the limits of economic and social conditions.

After the importance of this cutting-edge research achievement at that time, after >50 years of silence, until the late 1950s, Western scholars slowly realised the link between greenhouse gases and global climate change, and carried out relevant research. However, although the knowledge that greenhouse gas emissions will cause global climate change is gradually understood and accepted, no practical measures have been taken to control greenhouse gas emissions. Until the early 1990s, large-scale melting of glaciers in the North and South Arctic occurred, and global sea levels are constantly rising, climate anomalies in various countries frequently occur, and all sectors of the global community have to face the fact that the global climate is warming. The important fact is that people are continuously emitting greenhouse gases. In view of this grim situation, policymakers from various countries have begun to investigate the scientific sources of information about the causes of climate change, the impact of socio-economic development on the potential environment, and how to respond effectively. Under the planning of the United Nations Environment Programme (UNEP) and the World Meteorological Organization (WMO), the United Nations Intergovernmental Panel on Climate Change (IPCC) was established in 1988. The role of the organisation is to professionally evaluate the scientific, technological, and economic and social factors that affect global climate change based on the research results and academic literature published by scientists from various countries, based on open, transparent and objective conditions.

PCC has now become the most authoritative assessment agency for global research on climate change. Since its establishment, it has carried out four systematic assessments of global climate change. It has clearly put forward that people's daily economic and social activities affect the global climate by collating the research results of various countries. The IPCC's fourth and most recent assessment report was released in 2007. This report shows that global warming will continue for hundreds of years. The daily economic and social activities of humans and the periodic fluctuations of the atmospheric system cause the greenhouse effect, leading to global warming. Carbon dioxide is the most important of various greenhouse gases, accounting for more than two-thirds of the total. The severe situation of global warming has caused widespread concern in various countries and regions, and practical actions have been taken to participate in energy conservation and emission reduction of greenhouse gases. For example, the formulation of the United Nations Framework Convention on Climate Change, the Kyoto Protocol, and the Copenhagen Climate Conference held in 2009 all show that the international community is working together to develop a low-carbon economy and formulate energy-saving and emission reduction target plans to cope with global warming.

Due to this severe problem of climate change, the term ‘low-carbon economy’ was mentioned in the White Paper, ‘Our Future Energy: Creating a Low-Carbon Economy’ published by the British Government in 2003. This is the earliest authoritative report that puts forward the term. This is the essence of the concept. It focuses on the issues of energy use efficiency and energy consumption structure, with energy system innovation and technological innovation as the core, and promoting the sustainable development of society and mitigating the negative impact of climate change as the ultimate goal. Figure 1 shows the proportion of global energy.

Another research direction focuses on the relationship between economic growth, energy efficiency and incremental carbon emissions. Aviral (2016) used the Granger test to track the development of CO_{2} emission levels, total social energy demand and GDP in the developed world in the future, and pointed out that there is a two-way causal relationship between the total energy demand and carbon emissions in developed countries; Schipper (2010) decomposed the LMDI model of the carbon emission influencing factors of several IEA member states, and proposed that the change in carbon emission levels in most countries was due to changes in energy output intensity and total energy demand; Emmanuel Ziramba (2009) and Ertugrul Yildirim (2012) used econometric methods to explore the co-integration relationship between industrial production and energy consumption in South Africa, and the relationship between US fuel demand and unemployment and factory output rates; B. Liddle's (2013) research finds that the urbanisation rate and the size of urban households have an impact on the energy structure and carbon emissions, but the relationship between the two and carbon emissions is the opposite; foreign scholars in order to study the degree of economic development, technological progress, and population size have conducted research on carbon emissions and introduced the IPAT model for calculation. At present, OECD has proposed theories that can better explain the relationship between low-carbon economic development and carbon emission levels that are limited to the ‘decoupling’ theory, which is intended to realise the simultaneous implementation of social development and a decline in energy demand. Roman Vavrek (2016) quantitatively evaluated the relationship between economic development and greenhouse gas emissions based on the decoupling model theory. Studies in the V4 countries found that there is a strong decoupling between economic growth and carbon emissions, which can be met by accelerating the implementation of new policies and restructuring the energy structure and energy demand. Patrik Thollandera, Osamu Kimurab (2015) and others start with the harm caused by greenhouse gases to the global climate, and analyse the 2011 earthquake in Japan as the research background.

Concerning the important role of energy use efficiency in the face of energy supply shortages, Andrea M's (2009) research found that the implementation of relevant regulations to reduce carbon emissions can indeed reduce greenhouse gas emissions, but it would affect the price of fossil energy by a reduction in it. P Salas (2013) demonstrated the impact of energy investment and resource endowments on carbon emissions using energy-saving models, and suggested that the government introduce policies to promote energy technology development from a low-carbon economy.

The energy structure is the composition and proportion of fossil energy and other primary energy and secondary energy in the total energy output and total consumption. Economic development needs to be guaranteed by energy input. The types of energy consumption and their allocation are important factors affecting CO_{2} emissions and economic development. At present, the economic growth rate is relatively fast, and the stepwise nature of its growth pattern has also led to an increasing proportion of fossil energy investment. As far as the current situation is concerned, the coal-based energy structure can best meet this development demand, but at the cost of a relatively fast carbon emission growth rate. Coal has always dominated China's energy supply and consumption structure, but its utilisation efficiency is low, which is 23% lower than oil efficiency and 30% lower than natural gas. Therefore, the coal-based energy structure is very uneconomic, and the growth of unit GDP depends on the large consumption of coal, which will directly lead to problems such as low energy efficiency and shrinking economic benefits, which seriously hinder economic development.

The research purpose of this article is to quantitatively analyse the existing problems of low-carbon economic structure by defining the concepts of low-carbon economy and energy structure. To target the problem is to set up three scenarios for the low-carbon economic demand structure and make scenario predictions of the energy supply structure based on the conclusions. In order to predict and optimise the low-carbon economic structure, finally, based on the above research results, countermeasures and suggestions are put forward for the government in the grey forecast management of the low-carbon economy.

Energy is an important material foundation for the transformation of mankind from its primitive existence to modern civilisation, and it is also the driving force for the continuous development of today's society. In the context of the increasingly fierce political and economic competition in various countries, all countries have clearly realised that according to the current energy consumption rate, nonrenewable energy sources such as oil and coal will one day face depletion, which will bring forth extreme lack of development globally, followed by severe threats and tests. As a country with a rapidly growing economy, China has a huge energy demand. The actual situation is that the geographical distribution of different energy varieties in our country is extremely uneven and the per capita reserves are limited. This is reflected in the transportation of energy. Affected by transportation infrastructure conditions, energy supply in some areas cannot be effectively met, and the limited supply of domestic energy itself has further become a key factor affecting the sustainable development of China's economy and society. According to data from 2018, China has surpassed the United States to become the world's largest net oil importer, which can also confirm the embarrassing situation of China's high dependence on foreign energy and a huge demand gap. In addition to the problem of energy shortage, by contrast, the energy waste caused by the extensive consumption of energy, environmental damage and climatic anomalies caused are becoming more and more serious, which is mainly caused by the increase of SO_{2}, CO_{2} and other gas emissions caused by the extensive consumption of energy Air pollution such as haze and acid rain, and climate change are caused by the greenhouse effect.

Energy issues have become increasingly restrictive of socio-economic development and have become a global problem. With the increasing attention of society and governments to carbon emissions, saving energy consumption and achieving low-carbon development in industries are particularly important. The core sector of the logistics industry consumes even more energy. Therefore, the current research on the energy efficiency and energy consumption structure of the logistics industry has positive practical significance in order to save energy consumption and develop low-carbon logistics. Starting with labour factors, and decomposing the energy consumption input factors of logistics into oil, coal, natural gas and electricity, it is believed that the various energy types can be replaced with each other to a certain extent, and are affected by the difference in technological level. According to this, on the basis of fully considering the ease of substitution of energy consumption varieties at the current stage of the logistics industry, by changing the combination of different energy consumption varieties in the logistics industry, the dual goals of a stable development of the logistics industry and energy conservation and consumption reduction are achieved. Two questions will arise here: in the production activities of daily logistics, what are the benefits generated by different energy types, and to what extent can they replace each other? And what effect will this substitution effect have on the sustainable development of the future logistics industry based on energy conservation? In the existing literature, some scholars have conducted in-depth research on the above two issues by empirically examining the output and substitution effects of different energy varieties in a certain industry or locality. Figure 2 shows the logistics operation.

The scientific and reasonable model method is used to objectively reflect the degree of influence of different input factors on the development of China's logistics industry, especially its energy utilisation efficiency and energy consumption structure. It is important to sort it out according to relevant research literatures and summarise the following issues:

Most of the current related researches are based on time series data between energy factors and non-energy factors such as capital and labour to perform substitution elasticity analysis. This is feasible for most industrial research, but for the characteristics of the high-energy consumption industry (logistics, extractive industry), the rationality of the analysis of the substitution effect of energy elements separately from non-energy elements remains to be discussed. Han's research results on the energy efficiency and energy consumption structure confirm this view, because energy elements of the internal energy structure and technology-based differences make the impact of output substitution of energy varieties on output variables different.

In the existing literature, the production function models used to analyse the energy utilisation efficiency and energy consumption structure of a certain field are mostly used for the constant substitution elasticity (CES) or Cobb-Douglas production function, both of which assume that technological progress is neutral and energy is used as an input factor. The differential effect of technological progress on the substitution of different production factors is rarely considered. In fact, due to the differences in resource endowments, output structures and development levels in different regions, industries and links, the impact of each factor input on output is not only related to the change in that input factor, but is also affected by other input factors. However, there are objective differences in the technology between different input elements, so that the improvement in the use efficiency of each element by the technical input will produce non-uniform phenomena, which in turn will lead to non-neutral characteristics of technological progress.

Some Chinese scholars have proposed that the analysis of input factors (including energy factors) of different industries beyond the logarithmic cost function to the output and substitution elasticity of the industry, and the cost function is sensitive to the price and cost of each element. Whether the price of science can reflect the scarcity of factors will have a direct impact on the explanatory power of the development status of the industry. Although China's reform and opening up in the past three decades has greatly improved the marketisation of factor prices, for commodities such as oil and natural gas energy, the government has guided pricing, and national monopolies have become more prominent, resulting in a lack of effective incentive and competition mechanisms for prices. The marketisation level is relatively low, and it cannot scientifically reflect its production costs and scarcity. Therefore, the use of cost functions to calculate factors such as high energy-consuming logistics industry's factor output and the elasticity of substitution is weak.

Beyond the logarithmic production function, a variable elastic production function model that is easier to estimate than other function models and has a strong inclusiveness was first proposed by Christensen et al. According to the actual development of the logistics industry, the input factors of various types of energy interact with each other, and do not affect the development of the logistics industry in isolation.

At the same time, the technological progress between the input factors is differentiated and exceeds the logarithm. The production function belongs to the square reflection surface model in structure, and can fully reflect the mutual influence of the input factors under the difference in technological progress. This section intends to use the time-series data of the logistics industry's value-added and consumption of major energy types in the logistics industry from 2002 to 2018. As determined by the development situation, the lagging period of value-added logistics is used to replace other explanatory variables such as labour and capital, along with four different types of energy such as oil, coal, electricity and natural gas as input factors to construct a logistic production function model, as shown in formula (1):

The output elasticity refers to the relative change in output caused by the relative change of such input when the quantity of a certain input factor is changed separately when the other input quantities are fixed. The output elasticity of the energy input factors of the logistics industry can reflect the utilisation efficiency of different energy sources. The calculation formula is as follows.

The output elasticity of oil input is:

The elasticity of oil and coal substitution is:

The decision variable considered for the development of the logistics industry during the study period is the energy consumption of different energy sources in the _{i}_{t}_{t}

Ridge regression is a biased estimation regression method that is specifically applied to data research with collinearity. When there is obvious collinearity among the respective variables, generally the least squares method cannot be used to directly perform the regression analysis. Instead, the corresponding methods must be used to deal with it, that is, to give up the unbiasedness of the least squares method and lose a part of the information, reducing some precision used as a condition to get a more realistic regression coefficient.

In fact, ridge regression is an improvement on the least square method. The main characteristic of ridge regression analysis is that although the remaining standard deviation is larger than the least square method, it fits some ill-conditioned data much more than the least square method, so as to obtain higher calculation accuracy. When there is obvious collinearity between the respective variables, the matrix determinant of the independent variables will be approximately equal to 0 or become singular. At this time, XX is also singular. But if XX is added to the normal number matrix KA, the singularity of XX + KA will be improved over XX. Therefore,

This value will be more accurate and stable than the least squares estimation.

In order to facilitate the calculation, the independent variable of the translog function is replaced by a special symbol; let _{t}_{0}, _{1}, _{2}, _{3}, _{4}, _{6}, _{7}, _{8}, _{9}, _{10}, _{11}, _{12}, _{13}, _{14}.

According to the data source, the data of each variable from 2002 to 2018 were obtained. After calculation, the correlation coefficient value is basically >0.82, and the multicollinearity among the variables is more significant. In order to make the least squares (OLS) estimation result more reasonable, this study uses the ridge regression method to solve the multicollinearity problem to estimate, and uses the statistical software SPSS18.0 to calculate the different variables within a certain ridge parameter (K value) range. The coefficient changes are plotted into a ridge trace and the relationship between R2 and K values, as shown in Figures 3 and 4.

According to the ridge plots of the respective variables shown in Figure 1, it can be seen that when the K value is around 0.2, the ridge regression coefficient of each variable is estimated to be stable and does not show sharp fluctuations. According to Figure 2, it can also be seen that the K value from 0.2, ^{2} showed a relatively steady decline. Using K = 0.2 to calculate the variance expansion factor, the results are shown in Table 1. Each VIF value is <5, indicating that the ridge estimate ^{2} = 0.9868, the calculation is based on the data of the energy consumption of the logistics industry from 2002 to 2018, and the final results of the ridge regression are shown in Table 1.

Ridge regression estimation results

Variable | Regression coefficients | Standard error of regression coefficients | Standardized regression coefficient | T Statistics | VIF value |
---|---|---|---|---|---|

7.1422 | 2.2547 | 0 | 1.8212 | ||

_{0} |
0.154 | 0.0907 | 0.1477 | 1.7981 | 0.9458 |

_{1} |
0.0297 | 0.0417 | 0.0287 | 0.07127 | 0.2795 |

_{2} |
−0.0454 | 0.1125 | −0.0242 | −0.2999 | 0.2755 |

_{3} |
0.0778 | 0.0559 | 0.0487 | 1.1929 | 0.1787 |

_{4} |
0.0271 | 0.0197 | 0.0877 | 1.8928 | 0.0159 |

_{5} |
−0.0072 | 0.0272 | −0.0175 | −0.1792 | 0.2821 |

_{6} |
0.0044 | 0.0022 | 0.0522 | 1.9572 | 0.0202 |

_{7} |
0.0045 | 0.0017 | 0.1022 | 2.7272 | 0.2989 |

_{8} |
0.014 | 0.0285 | 0.0227 | 0.2728 | 0.2012 |

_{9} |
0.0049 | 0.0027 | 0.0725 | 1.2102 | 0.2472 |

_{10} |
0.007 | 0.0024 | 0.109 | 2.8871 | 0.5895 |

_{11} |
0.0024 | 0.0022 | 0.041 | 1.0977 | 0.047 |

_{12} |
−0.002 | 0.0089 | −0.015 | −0.2275 | 0.2097 |

_{13} |
0.0075 | 0.0052 | 0.0728 | 1.4277 | 0.0482 |

_{14} |
0.0145 | 0.0074 | 0.1802 | 2.2487 | 0.2471 |

It can be seen from Table 1 that the statistical test results obtained after the ridge regression are not ideal, but the application of the ridge regression method is mainly whether it can effectively overcome the colinearity and whether the obtained parameters are reasonable. The regression coefficients of basically all variables in Table 1 are positive, except for the coefficients of coal and its cross-impact terms (_{2}, _{5}, _{12}). This is mainly because the energy consumption statistics of the logistics industry show that from 2002 to 2018, the coal energy consumption is continuously decreasing, and other energy consumptions are increasing, in the logistics industry. Therefore, the estimated value of this parameter is consistent with the actual situation of energy consumption in the logistics industry. Therefore, the parameter estimation results of the model can be considered to be meaningful.

According to the estimated values of the model parameters obtained above, the output and substitution elasticity of different energy inputs and their technological progress differences in the logistics industry from 2000 to 2018 can be calculated, as shown in Figures 5–7.

In Figure 5, from 2002 to 2018, the output elasticity of different energy elements in China's logistics industry has been increasing, from large to small: natural gas, electricity, oil and coal. This is in line with the actual situation that natural gas and electricity are used as clean energy. Their utilisation efficiency is higher than that of high carbon emission energy such as oil and coal. Especially in the logistics field, the elasticity of natural gas energy output is much higher than that of oil and coal output elasticity. In 2008, the output elasticity of natural gas was 0.47, reaching 0.68 in 2018, an increase of 30.9%, and since 2008, this gap has continued to widen. The output elasticity value of electricity has been maintained at this relatively stable state of 0.3, although the output elasticity of petroleum and coal energy has also remained stable, but they are all <0.1. Among them, the output elasticity of coal energy in the logistics industry has been growing slowly but has been negative.

This shows that the use of natural gas energy is beneficial to the development of low-carbon logistics, while the use of coal energy will have a negative effect. The rapid increase in the output elasticity of natural gas in the logistics industry also indicates that the industry has significantly improved its energy efficiency.

In Figure 6, the elasticity of the substitution of electricity and natural gas is <1, which shows that the two types of energy in the logistics industry do not need to be replaced with each other in the logistics industry as electricity and natural gas as clean energy; instead, these two types of clean energy should be developed together. The substitution elasticity coefficients between oil and electricity, oil and gas, coal and natural gas, coal and electricity are all close to each other, and all are >1, indicating that clean energy is represented by natural gas and electricity and high carbon emissions are represented by oil and coal. Effective energy substitution can be carried out between energy sources and the substitution of coal and electricity is relatively high. The possible reason is that a considerable part of electricity energy is generated by using coal for thermal power generation as alternative elasticity. The highest elasticity of energy factor substitution in the logistics industry is oil and coal, which have basically remained >1.10. Since 2008, the elasticity of energy substitution between the two has become higher and higher. By 2018, the elasticity of substitution between the two has reached calendar years. The highest value is 1.19, mainly because petroleum and coal energy are high-carbon fossil fuels.

In Figure 7, the current progress in energy technology in the logistics industry is electricity, coal, natural gas and oil. The technological progress of electricity and coal is the fastest. The technological progress of electricity is in line with China's development needs for clean energy. However, the rapid progress of coal technology seems to contradict the previous conclusion that the output elasticity of coal energy is negative. The following may be the reasons for this scenario:

The use of coal energy has been extensive for a long time. A large amount of coal is directly burned and discharged without processing such as desulfurisation, which causes serious environmental pollution and low utilisation efficiency. Therefore, the technical starting point of coal utilisation is low, and there is a large space for improvement.

Figure 6 shows that the technical progress of electricity is faster than coal and it also mentions that there is a high degree of substitution between them. Therefore, even though the technological progress of coal is faster, it is affected by electricity and the output elasticity coefficient is not high. The rate of technological progress in petroleum has been declining every year. Especially since 2008, the technological progress of petroleum has slowed down significantly, and the technological progress of natural gas has started to increase rapidly.

MATLAB2018b is used to compare the total energy demand observation with the grey forecast value from 2002 to 2018, as shown in Figure 8.

Next, a gray forecast GM (1, 1) model is established for the demand for coal, oil, natural gas and other energy sources and forecasted. Using the data of energy consumption in 2009–2018 to simulate the training of the model and predict its demand in 2020–2030, the specific values are shown in Table 2.

2009–2018 Total Energy Demand Forecast Training

Years | Observations (10,000 tons) | Predictive values (10,000 tons) | Absolute errors |
---|---|---|---|

2009 | 6066.61 | 6066.61 | 0 |

2010 | 6689.92 | 7086.67 | −496.76 |

2011 | 7624.47 | 7282.94 | 241.62 |

2012 | 7222.49 | 7486.7 | −262.21 |

2013 | 7619.28 | 7694.1 | −74.82 |

2014 | 8226.41 | 7908.21 | 417.1 |

2015 | 8866.67 | 8128.48 | 728.19 |

2016 | 8268.42 | 8264.78 | 12.66 |

2017 | 8416.26 | 8687.28 | −171.12 |

2018 | 8402.46 | 8826.46 | −422.99 |

The grey forecast GM (1, 1) model can be used to predict coal supply and demand from 2020 to 2030, as shown in Figure 9.

The forecast of oil supply and demand in 2020–2030 is shown in Figure 10.

The forecast of natural gas supply and demand from 2020 to 2030 is shown in Figure 11.

The GM (1, 1) prediction method based on the grey system theory has the advantages of simple principles, unclear distribution rules, few research samples, convenient calculation and high prediction accuracy. However, the grey prediction method also has some disadvantages. Limited by the development coefficient, for decades of long-term forecasting, its accuracy is not very high, which is more suitable for short- and medium-term forecasting research. Compared with the large number of applicable samples, long-term regression equation prediction, BP neural network prediction, and genetic algorithm prediction is applicable to incomplete data. The complete time-series study sample for this study is 6, and the forecast for the next 6 years is till 2020. The value of logistics energy intensity and logistics carbon intensity before 2030 has a short forecast period, so it is more consistent with the use of GM (1, 1) forecasting model for research. After relevant tests, each of the GM (1, 1) prediction models has reached a relatively credible level. The prediction research results can objectively reflect the development expectations of the energy saving and emission reduction effects of the future logistics industry.

The objective of this article is to study the dynamic energy-saving and emission reduction effects of the logistics industry. First of all, by analysing the energy consumption structure and energy efficiency of the logistics industry, we can obtain the current energy consumption status of the logistics industry as a whole, highlighting the importance of ‘energy conservation’, and second by introducing the concept of carbon footprint The CO_{2} emissions of the logistics industry are measured and calculated, and the dynamic regional distribution of the carbon footprint of the logistics is obtained. The purpose is to emphasise the meaning of ‘emission reduction’, and then introduce the two indicators of energy intensity and energy intensity in combination with government work. This paper sets the ‘double intensity’ target value of energy conservation and emission reduction in the logistics industry, and forecasts and analyses the completion of energy conservation and emission reduction in the logistics industry in the future.

#### 2009–2018 Total Energy Demand Forecast Training

Years | Observations (10,000 tons) | Predictive values (10,000 tons) | Absolute errors |
---|---|---|---|

2009 | 6066.61 | 6066.61 | 0 |

2010 | 6689.92 | 7086.67 | −496.76 |

2011 | 7624.47 | 7282.94 | 241.62 |

2012 | 7222.49 | 7486.7 | −262.21 |

2013 | 7619.28 | 7694.1 | −74.82 |

2014 | 8226.41 | 7908.21 | 417.1 |

2015 | 8866.67 | 8128.48 | 728.19 |

2016 | 8268.42 | 8264.78 | 12.66 |

2017 | 8416.26 | 8687.28 | −171.12 |

2018 | 8402.46 | 8826.46 | −422.99 |

#### Ridge regression estimation results

Variable | Regression coefficients | Standard error of regression coefficients | Standardized regression coefficient | T Statistics | VIF value |
---|---|---|---|---|---|

7.1422 | 2.2547 | 0 | 1.8212 | ||

_{0} |
0.154 | 0.0907 | 0.1477 | 1.7981 | 0.9458 |

_{1} |
0.0297 | 0.0417 | 0.0287 | 0.07127 | 0.2795 |

_{2} |
−0.0454 | 0.1125 | −0.0242 | −0.2999 | 0.2755 |

_{3} |
0.0778 | 0.0559 | 0.0487 | 1.1929 | 0.1787 |

_{4} |
0.0271 | 0.0197 | 0.0877 | 1.8928 | 0.0159 |

_{5} |
−0.0072 | 0.0272 | −0.0175 | −0.1792 | 0.2821 |

_{6} |
0.0044 | 0.0022 | 0.0522 | 1.9572 | 0.0202 |

_{7} |
0.0045 | 0.0017 | 0.1022 | 2.7272 | 0.2989 |

_{8} |
0.014 | 0.0285 | 0.0227 | 0.2728 | 0.2012 |

_{9} |
0.0049 | 0.0027 | 0.0725 | 1.2102 | 0.2472 |

_{10} |
0.007 | 0.0024 | 0.109 | 2.8871 | 0.5895 |

_{11} |
0.0024 | 0.0022 | 0.041 | 1.0977 | 0.047 |

_{12} |
−0.002 | 0.0089 | −0.015 | −0.2275 | 0.2097 |

_{13} |
0.0075 | 0.0052 | 0.0728 | 1.4277 | 0.0482 |

_{14} |
0.0145 | 0.0074 | 0.1802 | 2.2487 | 0.2471 |

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industrial economy on the social economy based on multiple linear regression equation Research of neural network for weld penetration control P-Matrix Reasoning and Information Intelligent Mining Intelligent Recommendation System for English Vocabulary Learning – Based on Crowdsensing Regarding new wave distributions of the non-linear integro-partial Ito differential and fifth-order integrable equations Research on predictive control of students’ performance in PE classes based on the mathematical model of multiple linear regression equation Beam control method for multi-array antennas based on improved genetic algorithm The influence of X fuzzy mathematical method on basketball tactics scoring Application of regression function model based on panel data in bank resource allocation financial risk management Research on aerobics training posture motion capture based on mathematical similarity matching statistical analysis Application of Sobolev-Volterra projection and finite element numerical analysis of integral differential equations in modern art design Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing Research on motion capture of dance training pose based on statistical analysis of mathematical similarity matching Application of data mining in basketball statistics Application of B-theory for numerical method of functional differential equations in the analysis of fair value in financial accounting Badminton players’ trajectory under numerical calculation method Research on the influence of fuzzy mathematics simulation model in the development of Wushu market Study on audio-visual family restoration of children with mental disorders based on the mathematical model of fuzzy comprehensive evaluation of differential equation Difference-in-differences test for micro effect of technological finance cooperation pilot in China Application of multi-attribute decision-making methods based on normal random variables in supply chain risk management Exploration on the collaborative relationship between government, industry, and university from the perspective of collaborative innovation The impact of financial repression on manufacturing upgrade based on fractional Fourier transform and probability AtanK-A New SVM Kernel for Classification Validity and reliability analysis of the Chinese version of planned happenstance career inventory based on mathematical statistics Visual positioning system for marine industrial robot assembly based on complex variable function Mechanical behaviour of continuous girder bridge with corrugated steel webs constructed by RW Research on the influencing factors of agricultural product purchase willingness in social e-commerce situation Study of a linear-physical-programming-based approach for web service selection under uncertain service quality A mathematical model of plasmid-carried antibiotic resistance transmission in two types of cells Fractional Differential Equations in the Exploration of Geological and Mineral Construction Burnout of front-line city administrative law-enforcing personnel in new urban development areas: An empirical research in China The Law of Large Numbers in Children's Education Data structure simulation for the reform of the teaching process of university computer courses Calculating university education model based on finite element fractional differential equations and macro-control analysis Educational research on mathematics differential equation to simulate the model of children's mental health prevention and control system Analysis of enterprise management technology and innovation based on multilinear regression model Verifying the validity of the whole person model of mental health education activities in colleges based on differential equation RETRACTION NOTE Innovations to Attribute Reduction of Covering Decision System Based on Conditional Information Entropy Research on the mining of ideological and political knowledge elements in college courses based on the combination of LDA model and Apriori algorithm Adoption of deep learning Markov model combined with copula function in portfolio risk measurement Good congruences on weakly U-abundant semigroups Research on the processing method of multi-source heterogeneous data in the intelligent agriculture cloud platform Mathematical simulation analysis of optimal detection of shot-putters’ best path Internal control index and enterprise growth: An empirical study of Chinese listed-companies in the automobile manufacturing industry Determination of the minimum distance between vibration source and fibre under existing optical vibration signals: a study Nonlinear differential equations based on the B-S-M model in the pricing of derivatives in financial markets Nonlinear Differential Equations in the Teaching Model of Educational Informatisation Fed-UserPro: A user profile construction method based on federated learning Smart Communities to Reduce Earthquake Damage: A Case Study in Xinheyuan, China Response Model of Teachers’ Psychological Education in Colleges and Universities Based on Nonlinear Finite Element Equations Institutional investor company social responsibility report and company performance Mathematical analysis of China's birth rate and research on the urgency of deepening the reform of art education Precision Machining Technology of Jewelry on CNC Machine Tool Based on Mathematical Modeling First-principles calculations of magnetic and mechanical properties of Fe-based nanocrystalline alloy Fe _{80}Si_{10}Nb_{6}B_{2}Cu_{2}Computer Vision Communication Technology in Mathematical Modeling The Effect of Children’s Innovative Education Courses Based on Fractional Differential Equations Fractional Differential Equations in the Standard Construction Model of the Educational Application of the Internet of Things Optimization in Mathematics Modeling and Processing of New Type Silicate Glass Ceramics Has the belt and road initiative boosted the resident consumption in cities along the domestic route? – evidence from credit card consumption MCM of Student’s Physical Health Based on Mathematical Cone Attitude control for the rigid spacecraft with the improved extended state observer Sports health quantification method and system implementation based on multiple thermal physiology simulation Research on visual optimization design of machine–machine interface for mechanical industrial equipment based on nonlinear partial equations Research on identifying psychological health problems of college students by logistic regression model based on data mining Abnormal Behavior of Fractional Differential Equations in Processing Computer Big Data Mathematical Modeling Thoughts and Methods Based on Fractional Differential Equations in Teaching A mathematical model of PCNN for image fusion with non-sampled contourlet transform Nonlinear Differential Equations in Computer-Aided Modeling of Big Data Technology The Uniqueness of Solutions of Fractional Differential Equations in University Mathematics Teaching Based on the Principle of Compression Mapping Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing Cognitive Computational Model Using Machine Learning Algorithm in Artificial Intelligence Environment Application of Higher-Order Ordinary Differential Equation Model in Financial Investment Stock Price Forecast Recognition of Electrical Control System of Flexible Manipulator Based on Transfer Function Estimation Method Automatic Knowledge Integration Method of English Translation Corpus Based on Kmeans Algorithm Real Estate Economic Development Based on Logarithmic Growth Function Model Informatisation of educational reform based on fractional differential equations Financial Crisis Early Warning Model of Listed Companies Based on Fisher Linear Discriminant Analysis Research on the control of quantitative economic management variables under the numerical method based on stochastic ordinary differential equations Network monitoring and processing accuracy of big data acquisition based on mathematical model of fractional differential equation 3D Animation Simulation of Computer Fractal and Fractal Technology Combined with Diamond-Square Algorithm The Summation of Series Based on the Laplace Transformation Method in Mathematics Teaching Optimal Solution of the Fractional Differential Equation to Solve the Bending Performance Test of Corroded Reinforced Concrete Beams under Prestressed Fatigue Load Radial Basis Function Neural Network in Vibration Control of Civil Engineering Structure Optimal Model Combination of Cross-border E-commerce Platform Operation Based on Fractional Differential Equations Research on Stability of Time-delay Force Feedback Teleoperation System Based on Scattering Matrix BIM Building HVAC Energy Saving Technology Based on Fractional Differential Equation Human Resource Management Model of Large Companies Based on Mathematical Statistics Equations Data Forecasting of Air-Conditioning Load in Large Shopping Malls Based on Multiple Nonlinear Regression System dynamics model of output of ball mill Optimisation of Modelling of Finite Element Differential Equations with Modern Art Design Theory Mathematical function data model analysis and synthesis system based on short-term human movement Sensitivity Analysis of the Waterproof Performance of Elastic Rubber Gasket in Shield Tunnel Human gait modelling and tracking based on motion functionalisation Analysis and synthesis of function data of human movement The Control Relationship Between the Enterprise's Electrical Equipment and Mechanical Equipment Based on Graph Theory Financial Accounting Measurement Model Based on Numerical Analysis of Rigid Normal Differential Equation and Rigid Functional Equation Mathematical Modeling and Forecasting of Economic Variables Based on Linear Regression Statistics Design of Morlet wavelet neural network to solve the non-linear influenza disease system Nonlinear Differential Equations in Cross-border E-commerce Controlling Return Rate Differential equation model of financial market stability based on Internet big data 3D Mathematical Modeling Technology in Visualized Aerobics Dance Rehearsal System Children’s cognitive function and mental health based on finite element nonlinear mathematical model Motion about equilibrium points in the Jupiter-Europa system with oblateness Fractional Differential Equations in Electronic Information Models Badminton players’ trajectory under numerical calculation method BIM Engineering Management Oriented to Curve Equation Model Optimal preview repetitive control for impulse-free continuous-time descriptor systems Development of main functional modules for MVB and its application in rail transit Study on the impact of forest fire prevention policy on the health of forest resources Mathematical Method to Construct the Linear Programming of Football Training The Size of Children's Strollers of Different Ages Based on Ergonomic Mathematics Design Stiffness Calculation of Gear Hydraulic System Based on the Modeling of Nonlinear Dynamics Differential Equations in the Progressive Method Relationship Between Enterprise Talent Management and Performance Based on the Structural Equation Model Method Value Creation of Real Estate Company Spin-off Property Service Company Listing Selection by differential mortality rates Digital model creation and image meticulous processing based on variational partial differential equation Dichotomy model based on the finite element differential equation in the educational informatisation teaching reform model Nonlinear Dissipative System Mathematical Equations in the Multi-regression Model of Information-based Teaching The modelling and implementation of the virtual 3D animation scene based on the geometric centre-of-mass algorithm The policy efficiency evaluation of the Beijing–Tianjin–Hebei regional government guidance fund based on the entropy method The transfer of stylised artistic images in eye movement experiments based on fuzzy differential equations Research on behavioural differences in the processing of tenant listing information: An eye-movement experiment A review of the treatment techniques of VOC Some classes of complete permutation polynomials in the form of ( x ^{pm}−x +δ )^{s}+ax ^{pm}+bx overF _{p2m}The consistency method of linguistic information and other four preference information in group decision-making Research on the willingness of Forest Land’s Management Rights transfer under the Beijing Forestry Development A mathematical model of the fractional differential method for structural design dynamics simulation of lower limb force movement step structure based on Sanda movement Fractal structure of magnetic island in tokamak plasma Numerical calculation and study of differential equations of muscle movement velocity based on martial articulation body ligament tension Study on the maximum value of flight distance based on the fractional differential equation for calculating the best path of shot put Sports intensity and energy consumption based on fractional linear regression equation Analysis of the properties of matrix rank and the relationship between matrix rank and matrix operations Study on Establishment and Improvement Strategy of Aviation Equipment Research on Financial Risk Early Warning of Listed Companies Based on Stochastic Effect Mode Characteristics of Mathematical Statistics Model of Student Emotion in College Physical Education Mathematical Calculus Modeling in Improving the Teaching Performance of Shot Put Application of Nonlinear Differential Equation in Electric Automation Control System Nonlinear strategic human resource management based on organisational mathematical model Higher Mathematics Teaching Curriculum Model Based on Lagrangian Mathematical Model Optimization of Color Matching Technology in Cultural Industry by Fractional Differential Equations The Marketing of Cross-border E-commerce Enterprises in Foreign Trade Based on the Statistics of Mathematical Probability Theory The Evolution Model of Regional Tourism Economic Development Difference Based on Spatial Variation Function The Inner Relationship between Students' Psychological Factors and Physical Exercise Based on Structural Equation Model (SEM) Fractional Differential Equations in Sports Training in Universities Higher Education Agglomeration Promoting Innovation and Entrepreneurship Based on Spatial Dubin Model