Exploring the Role of Agricultural Services in Production Efﬁciency in Chinese Agriculture: A Case of the Socialized Agricultural Service System

: In recent decades, the Chinese government launched a socialized agricultural service system to help smallholders quickly modernize. This system helps farmers adopt modern-day farming operations to meet ever-increasing food and ﬁber requirements. The present study was conducted to analyze the impacts of this system on agricultural production efﬁciency. To this end, the Hubei province of China was selected, and the required data were retrieved from the Hubei Statistical Yearbook and Rural Statistical Yearbook for the years 2008 to 2019. The entropy method was applied to measure the extent of the adoption of socialized and individual agricultural services, while a data envelopment analysis (DEA) was used for measuring production efﬁciency. Grey correlation and regression analyses were carried out to analyze the association between production efﬁciency and agricultural service availability/uptake and the determinants of the former, respectively. The results illustrate that the agricultural socialized service level has increased. Speciﬁcally, the service levels of agricultural mechanization and ﬁnancial insurance increased most rapidly in terms of individual services with the largest numbers of adopters. Science and technology and material services were found to exhibit the most signiﬁcant relationships with the production efﬁciency of farmers. The results indicate a greater role of service provision in moderate-to-high-scale development, leading to land productivity and thereby improving agricultural production efﬁciency. The results also imply a higher demand for socialized agricultural services among farmers considering the value-added potential of such an integrated system with greater spillover options for achieving self-sufﬁciency in agriculture and ensuring food security.


Introduction
There is a regional difference between rural and urban areas based on differences in structures and functions, particularly in terms of social, economic, and natural characteristics [1] in many countries including China.Moreover, labor has moved from rural areas to urban areas due to rapid industrialization and urbanization in most countries across the globe [2,3].These industrialization and urbanization processes occurred earlier in developed countries, while in developing countries, they emerged more recently and are ongoing.For instance, due to technological changes, the migration structure in the western United States (US) led to a transformation of the human and land relationship during the 1980s and 1990s [4].
Similarly, changes to rural and urban population characteristics occurred in Australia due to the dominant production goals based on production, consumption, and protection factors [5].The same changes were observed in the United Kingdom (UK) and New Zealand [6,7].Subsequently, developing countries began to follow this trend at the same pace (e.g., in the 1980s in Poland and other countries) [8].The fast development of industrialization and urbanization in China has also led to the rapid displacement of the rural population since the 21st century.Consequently, rural decline has created a global challenge for food production to feed the planet's growing population [9].In addition, the country's agricultural economic status has contracted and the service system has increased due to the movement of labor from rural to urban areas and the restructuring of economic and social systems [10].
On the other hand, the population is increasing.It is anticipated that the global population will expand from 7.2 billion to 10 billion [11,12].In addition, changes to the climate and overexploitation in agriculture continuously contribute to losses in arable land, resulting in food production, consumption, and distribution imbalances [13][14][15][16][17][18].This situation demands the better use of land and more efficient crop production.Studies revealed the substantial impact of these changes on farm income due to the impacts on agricultural production.This situation demands better technologies and services, which are crucial to enhance the efficiency of crops and food [19][20][21][22].
According to the existing research, labor migration from rural to urban areas has negatively impacted production, which affects food security [23][24][25].Agricultural social services and mechanisms are considered very important for agricultural sustainability and food security.This entails the usage of various types of equipment, machinery and services, such as information input, land-preparation harvesting, and other basic processes known as services and mechanisms [25][26][27].There is currently a trend of moving away from using agricultural mechanisms to improve the techniques and services to help the agricultural system [27].Evidence shows that, in terms of farm-labor supply and demand, the landscape and profit [28] can improve the economic situation and efficiency of production.
China's economic development is strongly supported by the agricultural sub-sector through its contributions to industrial raw material provisions, as well as providing functional employment to the peasant population [29,30].An earlier study revealed that agriculture historically dominated China and succeeded in maintaining food self-sufficiency, especially food grains in the last few decades [31].Adekola and Alabadan stated that Chinese agriculture could also be understood in terms of an increased quality and quantity of agricultural products, the competitiveness of products on the global market, improved ecological and environmental protection, etc. [32].Additionally, China's 14th Five-Year Plan highlights the direction of agricultural and rural development, by promoting rural revitalization and improving agricultural quality and efficiency comprehensively.To continue such performance, modern and commercialized rural services must be built, especially to promote agriculture at the traditional level [33].Social services are also considered important for improving agriculture and increasing its efficiency [34][35][36].

Social Services in Agriculture and Public Intervention for Value Co-Production
The Chinese Ministry of Agriculture and Rural Affairs, along with the country's Ministry of Finance, issued a notice in 2020 on further improving socialized services for agricultural production to promote a healthy and positive association between small farmers and the development of modern agriculture.Socialized agricultural services are classified into different categories, such as agricultural infrastructure, production sources, science and technology, finance, mechanization, and informatization [37].These services play a crucial role in improving agricultural production efficiency, promoting high-quality rural development, and ensuring food security.The subsidy policy for the purchase of agricultural machinery has also had an extensive impact on the promotion and development of agricultural mechanization.Wang et al. [38] argued that agricultural machinery services are an important source of effective farm mechanization via the provision of farmmachinery-purchase subsidy policies to improve the level of agricultural mechanization.A sound subsidy policy for the purchase of agricultural machinery has a positive effect Land 2022, 11, 347 3 of 18 on farmers' income [39] and, at the same time, is conducive to increasing the number of customized farm machinery units, as well as the level and extent of modernization in agricultural mechanization [40].
Postner [41] calculated the promotion effect of socialized services on agricultural production using secondary data from 1967 to 1977 alongside input-output variables among Canadian farmers, revealing a positive association.Li and Liu [42] analyzed the correlation between socialized services and agriculture and revealed that China's production service system is relatively underdeveloped, thereby hindering the development of agriculture.Shuqi et al. [43] identified gaps in agricultural development in China, although there has been considerable progress.Ming [44] used linear and power function curve methods to estimate the correlation between agriculture and producer services and illustrated a spatial synergy between them.Another study used the grey correlation model to measure the correlation between socialized agricultural services and agricultural production efficiency [45].The result of their study indicated that the correlation between agricultural machinery services and agricultural production efficiency was significantly positive.Ji et al. [46] conducted a study on socialized services, labor force, and land fragmentation in the agricultural sector using survey data.In their research, the authors found that socialized agricultural services are conducive to alleviating the adverse impact of the rural aging population and feminization on agricultural production.
Moreover, previous research revealed that purchasing socialized agricultural services is crucial to improving agricultural production efficiency [47].Additionally, agricultural machinery operation services can significantly enhance agrarian production efficiency.Likewise, Yang et al. [48] illustrated the role of socialized agricultural services in improving agricultural production efficiency in the following three ways: the division of labor, substitution, and technology.Moreover, social services in farming have been garnering attention due to their significant impact on the agricultural sector.According to data from Shandong province, the improvement of socialized services could effectively provide upgrades to agricultural and industrial structures [45].These upgrades would indirectly play a significant role in enhancing the efficiency of agricultural production.Similarly, another study was conducted by Lu et al. [49], who analyzed the impact of socialized services in different links on agricultural technical efficiency based on the degree of land fragmentation.The authors applied microdata and beyond logarithm stochastic frontier models to estimate the results.

Need for Socialized Agricultural Services and Scope of Sustainable Agriculture
China plays a vital role in agricultural production by feeding not only its huge population but also that of other countries.Hubei province is the leading grain-producing province in China and plays an essential role in realizing the "rise of central China," which is vital not only for the national economy but also for people's livelihoods [50].However, this province is under pressure from significant uncertainties.For example, extreme climate events, urban migration, old-age labor at farms, and shortages of rural labor are becoming increasingly serious [51].These issues affect the development of modern agriculture.It is, therefore, an urgent task for the province to comprehensively promote rural revitalization and modern agricultural development.Agricultural socialized services are a healthy way to associate small farmers with agricultural modernization [52].Previous studies focused on social farming in terms of a lack of capital, but in this study, we considered socialized services related to labor migration and climate change.This aspect is quite novel in terms of the prevailing issues of rural-urban migration and cities' concentration.Looking at the efficiency vis à vis a publicly facilitated service provision provides further insights for effective policy formulation.In contrast, as shown by [53][54][55], service availability, its use and dynamics can either complement or promote rural-urban migration with little focus on various aspects of efficiency-allocative as well as technical ones.The work at hand goes beyond these injunctions, as we show how socialized service delivery can improve farmers' efficiency and reduce their search and procurement costs.Nevertheless, given the nature of scale operations and input costs, more and more smallholder farmers have begun to choose outsourced agricultural machinery services [38,56].Another motive behind the uptake of this topic for research is that investment in agricultural machinery is a relatively large expenditure for smallholders, and the sunk costs of machinery are relatively high.Therefore, small-scale farmers usually have no incentive to purchase self-owned machinery [39,57].To manage agricultural production more efficiently, smallholders are more inclined to outsource labor-intensive production processes [58,59].On the other hand, Ref. [60] explicitly reveal the implications of rural-urban migration for structural transformation of rural society, taking Sub-Saharan Africa as an example.Such an outcome has a wide-ranging impact on land-ownership as well as its profitable or at least sustainable use [61].Given this scenario, socialized service provision has its own potential for initiation, but the evaluating its impact on farm-level operations and output results makes a strong case for further study.
Hence, this study sought to determine whether socialized agricultural services influence production efficiency and whether there is any correlation between the agricultural sector and socialized agricultural services.For this purpose, it is essential to understand the socialized service demand for agriculture and the correlation between agriculture and socialized services.Therefore, the present study objectively investigated the impact of socialized services on production efficiency in the agriculture sector.This work also analyzed the correlation between socialized agricultural services and agricultural production efficiency and contributes to the existing literature by providing new insights in terms of variables and methodology.Because problems of rural population outflow, population aging, land abandonment, and rural labor shortages are becoming increasingly serious, the role of interventions such as socialized agricultural services needs to be explored.The findings of this study provide improved benchmarking of the targets, tipping points, and hotspots for greater efficacy, leading to sustainable agriculture.In addition, the type of intervention introduced in the study area can provide valuable insights in terms of research findings as to which effects and dynamics are linked with the program if implemented elsewhere in the world.This reasoning explains the interest of international readers in the topic of this work.

Study Area Selection
Figure 1 shows a map of the study area.The data used for the present study were taken from Hubei province in China.Hubei province lies in the heart of the country and a part of the middle basin of the Yangtze River, situated at 108 21 -116 07 east longitudinally and 29 05 -33 20 north latitudinally.Moreover, this province is located between wheatand rice-growing zones and is considered a transition region of the agricultural sector.This province plays a vital role in agriculture due to its flat terrain and fertile soil, which are convenient for mechanized farming.It is also the leading grain-producing province in the country and plays an essential role in realizing the "rise of central China".Consequently, Hubei is very important for the national economy and people's livelihoods [50].This province, however, faces numerous uncertainties and challenges, such as rural-to-urban migration, old-age labor for agricultural production, land, and a rural labor shortage.As the Chinese Government launched agricultural services, it is an urgent matter to comprehensively promote rural revitalization and modern agricultural development in the province.These are factors that affect the development of modern agriculture in the province.Agricultural socialized services provide a healthy way to associate small farmers with agricultural modernization in this province.Another reason for selecting this province was that plastic film is used in the region to achieve better production under weather uncertainties.Hence, in this work, we analyzed the impact of the socialized service level on agricultural productivity in Hubei, as this province is crucial for the agricultural sector in terms of food security and socialized service mechanisms applied by small farmers.
province was that plastic film is used in the region to achieve better production under weather uncertainties.Hence, in this work, we analyzed the impact of the socialized service level on agricultural productivity in Hubei, as this province is crucial for the agricultural sector in terms of food security and socialized service mechanisms applied by small farmers.The study was divided into four parts.In the first section, the entropy method was used to measure the socialized agricultural service level.Previous research categorized socialized agricultural services into seven categories and analyzed 24 specific variables.In the second part, the data envelopment analysis (DEA) model was applied to measure agricultural production, as well as technical and scale efficiencies.In the third part, grey correlation analysis was used to evaluate the linkages between the single service level and agricultural production efficiency, and in the fourth part, factors were used to determine production efficiency.

Measurement of Socialized Agricultural Services and Data
Various researchers have adopted different classification methods of socialized agricultural services.For instance, Wenhui [62] divided socialized agricultural services into six types according to farmers' needs; this study analyzed the supply of agricultural materials, machinery, technology, processes, information, and financial insurance.Moreover, Lu et al. [49] examined animal and plant disease prevention and control services, quality supervision, and agricultural product circulation services.The authors linked three dimensions of service content with industry.Similarly, another study divided socialized services into three categories, namely, public welfare, quasi-public welfare, and operational services, and then subdivided these three categories into 12 services [52].
Hence, to elaborate on the existing literature, the present study categorized socialized agricultural services into the seven following themes: (i) agricultural materials, (ii) financial and insurance, (iii) science and technology, (iv) information, (v) mechanization, (vi) infrastructure, and (vii) social public service levels.Several variables were selected for each category, and data were obtained from the Hubei Statistical Yearbook and Hubei Rural Statistical Yearbook from 2009 to 2020.After selecting the index, we used the entropy method [49,52,63,64] to measure the agricultural socialized service level.The study was divided into four parts.In the first section, the entropy method was used to measure the socialized agricultural service level.Previous research categorized socialized agricultural services into seven categories and analyzed 24 specific variables.In the second part, the data envelopment analysis (DEA) model was applied to measure agricultural production, as well as technical and scale efficiencies.In the third part, grey correlation analysis was used to evaluate the linkages between the single service level and agricultural production efficiency, and in the fourth part, factors were used to determine production efficiency.

Model Setting 2.2.1. Measurement of Socialized Agricultural Services and Data
Various researchers have adopted different classification methods of socialized agricultural services.For instance, Wenhui [62] divided socialized agricultural services into six types according to farmers' needs; this study analyzed the supply of agricultural materials, machinery, technology, processes, information, and financial insurance.Moreover, Lu et al. [49] examined animal and plant disease prevention and control services, quality supervision, and agricultural product circulation services.The authors linked three dimensions of service content with industry.Similarly, another study divided socialized services into three categories, namely, public welfare, quasi-public welfare, and operational services, and then subdivided these three categories into 12 services [52].
Hence, to elaborate on the existing literature, the present study categorized socialized agricultural services into the seven following themes: (i) agricultural materials, (ii) financial and insurance, (iii) science and technology, (iv) information, (v) mechanization, (vi) infrastructure, and (vii) social public service levels.Several variables were selected for each category, and data were obtained from the Hubei Statistical Yearbook and Hubei Rural Statistical Yearbook from 2009 to 2020.After selecting the index, we used the entropy method [49,52,63,64] to measure the agricultural socialized service level.
Entropy is a mathematical approach that is used to analyze the probabilities for given outcomes of variables.The method is widely used in impact assessments of interventions involving temporal as well as interval-based actions [65,66].The entropy method is considered a highly powerful tool in cross-efficiency evaluation for a range of options involving a set of decision-making units [67].However, the use of the entropy method in conjunction with Data Envelopment Analysis (DEA) is justified due to the latter's shortcoming of total weight flexibility, which can treat many decision-making units (DMUs) as DEA-efficient, thereby failing to discriminate whether all are deemed efficient or otherwise [40].In fact, optimal weights yielding from a DEA model are often arbitrary, although depending on the data, compelling to generate cross-efficiency scores [68].To address such discrepancy and to solve the problem, Doyle and Green [69] proposed a set of different secondary models that can be divided into benevolent and aggressive formulations, representing two opposite strategies diametrically.The idea behind these two models is to identify optimal weights that not only maximise the efficiency of the DMU under consideration but also maximise or minimize the average efficiency of other DMUs.In a similar vein, Liang et al. [70,71] offered different secondary objective functions to extend both (aggressive and benevolent) models, whereby each secondary objective function represents an efficiency evaluation method.Using these models, one can obtain and compare the efficiency scores from multiple/different perspectives.Hence, in our study, the entropy method was used to calculate the dispersion degree of an index along with the DEA method to complement findings and obtain better insights.Under the entropy method, the greater the degree of dispersion, the more significant the impact of the index on the comprehensive assessment.In this study, first, n samples and m indicators were chosen, where X ij denotes the index and i is the value of jth sample (decision unit).Second, we described the variables, i.e., the homogenization of heterogeneous variables.The measurement units of the various indexes are not unified in our study but must be standardized before use in comprehensive calculations.Moreover, the absolute value of the index should be transformed into a relative value to become where i = 1, 2, 3, . . ., n and j = 1, 2, 3, . . ., m.
The entropy of index j is e j e j = −k ∑ n i=1 p ij ln p ij , where k = 1/ ln(n), and e j ≥ 0.
The comprehensive score of various services is given by s i as follows RMB 100 million

Measurement of Agricultural Production Efficiency
The data envelopment analysis (DEA) model evaluates multiple decision-making units (DMUs) with multiple inputs and outputs.The use of the DEA method has been widely cited for a range of efficiency-related studies due to its advantage of benchmarking the efficiency measure, although with some discrepancies of treating all DMUs as efficient and as falling within the cut-point values, although they may not be [40,72,73].The study uses a combination of both entropy and DEA methods to evade any sort of misspecification.Hence, this study constructed a DEA model to estimate the agricultural production efficiency, where two aspect variables, i.e., input and output, were used, along with two models.The BCC model measures the technical and scale efficiency of decision-making units under the condition of variable scale compensation.The CCR model measures the production efficiency of the decision-making unit under the condition of a constant return to scale.Agricultural production efficiency is the proportion of the actual output and target output under the condition of a certain amount of input.By taking land, workforce, and capital as input variables, the specific input variables were the sowing area of crops (in 1000 hectares), agricultural employees (in 10,000 people), the amount of applied chemical fertilizer (in 10,000 tons), the amount of pesticides used (in 10,000 tons), the amount of agricultural plastic film used (in 10,000 tons), and the total power of the agricultural machinery (in 10,000 kW).The agricultural output value was taken as the output index (in CNY 100 million).
The model settings under the DEA were as follows: where γ j ≥ 0, j = 1, 2, . . ., k and S + ≥ 0; S − ≥ 0. where θ represents/measures the DMU efficiency; x j and y j denote the input and output of the jth DMU, respectively; γ j denotes the weight of the DMU; S + and S − are the degrees of freedom.X 0 and Y 0 represent the projection of the decision-making unit corresponding to the relative efficiency surface of DEA.If θ < 1, then the DMU is inefficient; if θ = 1, and S+ or S − is not equal to 0, the DMU is weakly effective; if θ = 1, and both S+ and S − are equal to 0, the DMU is effective.

Correlation between Agricultural Production Services and Production Efficiency
The grey correlation degree model was applied to estimate the correlation between single services and agricultural production efficiency [74].Grey correlation analysis requires the selection of reference and comparison sequences.This study used materials, information, mechanization, science and technology, infrastructure, social capital, and financial insurance services regarding agriculture as the comparison sequence.The agricultural production efficiency, technology, and scale efficiencies were used as the reference sequence.The specific operational steps were as follows: Set sequence expression: . ., 10.To find the maximum (M) and minimum (m) sequence differences, we used the following equations: Next, we calculated the correlation coefficient and correlation degree.The correlation degree is explained as follows: , which is the arithmetic mean of the correlation coefficient.Here, ρ is the determinant of the coefficient, where the ρ value is generally taken as 0.5.When the correlation coefficient is more significant than 0.6, the correlation is considered significant.

Regression Model
A regression technique is used to analyze the impact of the independent variable(s) on the dependent variable.In this study, the ordinary least squares (OLS) regression model was applied to analyze the impact of criterion layers on the output to achieve the objective here, and we developed the following three models: where AP t is agricultural production efficiency, in f t represents agricultural infrastructure, mat t denotes agricultural materials, sci t denotes science and technology services, mec t represents agricultural mechanisms, and pub t denotes social and public services.α, β, and γ are parameters to be estimated; ε is the random error term; and u is the random fixed effect.

Analysis of the Agricultural Socialized Service Level
The results for the overall and individual service levels of agricultural socialization from 2008 to 2019 are shown in Table 2. Figure 2 illustrates the changing trends for the total service and sub-service levels of agricultural socialization.The results revealed that the overall service level of agricultural socialization in Hubei province experienced an upward trend from 2008 to 2019.This value increased by 244%, i.e., from 0.2668 in 2008 to 0.9189 in 2019.From the perspective of individual agricultural service levels in the agricultural socialized service system, over the last 12 years, the agricultural information, mechanization, infrastructure, social public, and finance and insurance service levels experienced an increasing trend.In contrast, the agricultural mechanization and agricultural science and technology service levels first experienced an increasing trend and then a decreasing trend.The trends shown in Figure 2 can be attributed to the following reasons.First, these results were due to the subsidy policy for purchasing agricultural machines and tools and the comprehensive promotion of agricultural mechanization.Previous studies found that agricultural machinery services played a prominent and positive role in improving agri- The trends shown in Figure 2 can be attributed to the following reasons.First, these results were due to the subsidy policy for purchasing agricultural machines and tools and the comprehensive promotion of agricultural mechanization.Previous studies found that agricultural machinery services played a prominent and positive role in improving agricultural production efficiency [42,, thereby increasing farmers' income and promoting rural revitalization.Second, agriculture is the primary sector that impacts the stability of the country's national economy.In recent years, the state has rectified and built a financial market system and guided funds for investing in agricultural infrastructure.Third, the technical level of agricultural production in Hubei province is high, and the government is paying increasingly more attention to agricultural production.However, the service levels of farming materials and agricultural science and technology trends were found to decline, possibly due to the influence of national policies.For instance, there remains a weak diffusion rate of research results between scientific researchers and farmers because farmers are more willing to believe their own practical experience, which hinders the process of agricultural modernization in the country to a certain extent.

Analysis of Agricultural Production Efficiency
The results for agricultural production efficiency are provided in Table 3.The results revealed that agricultural production efficiency experienced an upward trend, where the value increased from 0.703 in 2008 to 1.000 in 2019.We found that technical efficiency remained at a high level, despite a slight changing trend.This result showed that the technical level of agriculture in the Hubei province was relatively mature.Moreover, the agricultural science and technology extension mechanism was relatively strong, and the technology renewal speed was fast.Similarly, the scale efficiency also revealed an increasing trend over time.The results indicated increasing returns to scale during the 12 years under analysis.Thus, Hubei may benefit from the promotion of agricultural mechanization and the support of land-transfer policies, which may gradually reduce the degree of fragmentation at an agricultural-land scale.The rising trend of scale and technical efficiencies was found to be almost without deviation.Therefore, the growth of scale efficiency was found to be the main reason for the observed improvements in agricultural production efficiency.

Grey Correlation Analysis of Socialized Agriculture Service and Production Efficiency
The service levels of agricultural socialization are taken here as a comparison sequence, while agricultural production and technical and scale efficiencies are the reference sequence.The correlation degree between each service level and efficiency was obtained by applying the calculation steps of the grey correlation model, as illustrated in Table 4.The results demonstrated that the correlation value between each agricultural service and agricultural production efficiency remained at around 0.85, which is greater than 0.6.This result showed that the correlation between every single service and agricultural production efficiency was vital.Among those, agricultural science and technology, agricultural materials, and financial insurance service levels were closely related to agricultural production efficiency and agricultural scale efficiency.
In contrast, agricultural information service was ranked last, indicating that science and technology played an essential role in the process of agricultural modernization.Regardless of whether the application of agricultural scientific research achievements or an increase in agricultural science and technology personnel can drive the core strength of agriculture, such advancements can help farmers plant their crops scientifically and better understand the laws of production to improve the efficiency of their agricultural output.In addition, the results revealed that agricultural material services were the most fundamental source of production.Perfect agricultural material services can provide good external conditions for agricultural production.Moreover, agricultural financial and insurance services offer substantial financial support to farmers and guarantee agricultural production.Thus, farmers are encouraged to produce more and are guaranteed to expand their planting scale, in addition to reducing planting costs and improving farmers' enthusiasm for agricultural production.In addition, the ranking of the correlation degree between individual services and agricultural technical efficiency indicated significant changes.In the ranking of the correlation degree, the top three factors were financial and insurance, agricultural infrastructure, and agricultural information service levels, while the social public service level was ranked last.Furthermore, financial and insurance services provided farmers with resources and funds and encouraged them to improve their production technology.While infrastructure services laid a good foundation for agricultural production, agricultural information services can provide better information to help farmers integrate their resources and improve their technical levels.

Regression Results
To determine the relationship between agricultural socialization services and agricultural production efficiency more accurately and to avoid multicollinearity, variables with high correlation were removed.We then constructed three models (see Table 5).The results revealed that agricultural infrastructure services, financial insurance services, and agricultural mechanization levels have a significantly positive impact on agricultural production efficiency.First, agricultural infrastructure provided convenient conditions for agricultural production.The construction and improvement of infrastructure, such as irrigation and water conservancy, the circulation of agricultural products, and the extension of agricultural technology, played positive roles in improving agricultural production efficiency and promoting the sustainable development of agriculture.Second, agricultural finance and insurance services provided strong financial support and agricultural guarantees to help farmers carry out agricultural production, accelerate the promotion of provincial financial subsidy projects, rationally use central and provincial financial funds, and place equal emphasis on project management and fund management.In this way, farmers were more willing to produce due to assured production.Third, agricultural mechanization was of strategic significance to promoting the construction of modern agriculture and the new socialist countryside.With agricultural machinery as the carrier, China has promoted the application of new technologies, such as deep tillage and deep sowing, the deep application of chemical fertilizers, water-saving irrigation, and precision sowing, thereby surpassing the limits of productivity beyond natural human and animal forces, improving agricultural production conditions, and raising production efficiency.

Discussion
This study calculated production technology and scale efficiency and explored the impact of socialized services on production efficiency, as well as the correlation between these factors.Determinants of production efficiency were also analyzed.This study found that, in general, the service level of agricultural socialization from 2008 to 2019 experienced a growing trend, and the continuous improvement of agricultural socialization services had a catalytic effect on improving the efficiency of agricultural production.Previous studies explored the impact of the development of productive agricultural services in various regions of China in terms of improvements in agricultural total factor productivity.These services were also shown to have a positive spatial spillover effect, which supports the present study's results [45,76].For instance, Ref. [48] demonstrated that agricultural machinery services represent an important way to enhance agricultural production, while subsidies for purchasing agricultural machinery can improve agricultural mechanization.Another study determined that machinery has a positive impact on production [77].Li and Liu [42] further analyzed production efficiency using the DEA model, determining that the ratio of net profit would enhance production efficiency in the agriculture sector.Ma et al. [78] reported that the production efficiency in the southwestern regions is very low, while that in the eastern plain area of China is high.
In contrast, another study showed that different socialized service models have significant differences in agricultural technical efficiency.The vertical collaboration model of socialized service organizations was found to reduce farmers' profitability, with no increases observed in farmers' income [45].In addition, the results showed that agricultural informatization, mechanization, infrastructure, social public, and agricultural financial insurance service levels experienced an upward trend.A previous study showed that the correlation between the household head's characteristics and low-income cities has a positive and increasing trend in agricultural production [76].Another study determined that infrastructure has a significantly positive effect on production efficiency [42].In contrast, agricultural mechanization, financial insurance, and infrastructure service levels showed a rapid downward trend.In earlier research, scholars explored how different socioeconomic factors affect production efficiency in the agricultural sector.For instance, it was demonstrated that the infrastructure and subsidies provided by the government to service providers are significantly positive in African countries [78].The presence of smaller farms and further division of farm sizes under new generations of households were also found to negatively impact the agriculture sector's mechanisms [79].Moreover, according to the FAO, better allocations and policies will yield the highest possible output in terms of financial services [24].
The results of this study revealed that improving agricultural production by utilizing socialized services in the agriculture sector played a significant role in enhancing farmers' output, improving the quality of agricultural products, increasing income, and ultimately improving the living standards of farmers.The previous literature supports our study results.For instance, ref. [39] noted that socialized services have a positive effect on increasing farmers' income and, at the same time, are conducive to increasing the number of agricultural machines and the level of agricultural mechanization [40], thereby realizing the effectiveness of small farmers and modern agriculture convergence.
The results showed that production efficiency experienced an increasing trend, indicating that technical efficiency in the study area matured.Although labor migration trends were found to be higher in Hubei province, due to socialized services, production efficiency increased.Previous literature has shown that regions experiencing labor migration to urban areas are less efficient in agricultural production [77,80,81].Moreover, Li et al. calculated production efficiency using the DEA model and determined that there is a difference in production efficiency in the western and eastern parts of China [82].This model will help to improve the country's economy, enhance the adoption of new technology, and modernize the agriculture sector.The results of this study showed that socialized agricultural services played a pivotal role in agricultural production.A previous study demonstrated that mechanical resources could enhance agricultural efficiency among Chinese farmers [42].It was also found that machinery services and maintenance have a significant positive impact, which supports our study.In addition, ref. [47] found that the over-usage of machines is more common than labor, particularly on small farms.The authors also observed allocative efficiency among rice farmers in China.Another study revealed that machinery usage has a significantly positive impact on efficiency among Pakistani rice farmers [77].

Conclusions
This study used time-series data from 2008 to 2019 obtained from the Hubei Statistical Yearbook and Hubei Rural Statistical Yearbook.We analyzed the socialized and individual agricultural service level impacts on agricultural production.The production, technical, and scale efficiencies were also calculated, and the correlation between socialized agricultural services and agricultural production efficiency was analyzed.The correlation between technical and scale efficiencies was also analyzed and recorded.The regression model was also applied to the determinants of agricultural production.The results demonstrated that the service level of agricultural socialization continuously improved from 2008 to 2019.Moreover, we found that agricultural mechanization and finance and insurance service levels among single service levels, increased rapidly.The agricultural production and scale efficiencies increased over time, and the growth rate was found to be largely consistent.The continuous increase in scale efficiency was due to an increase in agricultural production efficiency.
Furthermore, agricultural technical efficiency maintained a high level over the 12 years analyzed.The highest degree of correlation with agricultural production and scale efficiency was found for science and technology, materials, and financial insurance service levels.Financial insurance services had the highest degree of correlation with technical efficiency in agriculture.The appropriate large-scale development of land scale can improve agricultural production efficiency and, at the same time, stimulate demand for socialized agricultural services.Financial, insurance, agricultural science and technology services were found to be closely related to agricultural production efficiency, but the level of correlation between the two categories showed a downward trend.According to the regression results, agricultural infrastructure, financial insurance, and agricultural mechanization service levels had a positively significant impact on production efficiency.
The work also makes significant contributions on the theoretical front using the perspective of community-based services and their role in the productivity of agriculture.It is evident from the findings that provision of farm services would theoretically equip farm households with a leverage to aim for added investment in the farm of non-service inputs such as seed, fertilizer and chemicals that would indirectly mediate the increase in productive efficiency of the farmers participating in the program.The socialized services are deemed to theoretically improve economies of scale as well as can lead to demonstration effect on those who are not part of such programs.On international front, many developing countries as well as developed one can benefit from the findings of this study to focus of provision of such services instead of concentrating the direct payment of subsidies.The study confirms that there is a potential benefit by participating in the commonly provided farm-based services-at least farm machinery-instead of completely relying on outsourced or rented services.Agricultural socialized services (ASS) have progressed at a fair pace in most parts of China, for which, the findings of this study provide valuable insights for international benchmarking on such moves.However, there are potential options for the piloting of ASS in many African and South Asian countries chiefly dependent on arable agriculture and often constrained by availability and affordability issues linked with farm services, particularly farm-related machinery.

Policy Recommendations
Considering the study results, the following policies are recommended.Agricultural financial and insurance services should be improved and strengthened and credit support should be increased for agricultural development.Stakeholders and policymakers should devote their full attention to the leading role played by large national and commercial banks in supporting the agriculture sector.For instance, the number of bank outlets in township areas should be increased, and the quality of services should be improved.In addition, the interest rates of agricultural loans should be reduced, the small agricultural loan system should be improved, and farmers should be encouraged to obtain good credit services.Moreover, agricultural insurance needs to be publicized and its types should be increased to reduce risk in agricultural production.
Moreover, the transformation of agricultural scientific and technological achievements should be accelerated, and a cooperative scientific research system should be established between farmers and academia to create a professional agricultural development model.These provisions will help to enhance agricultural production through the application of agricultural scientific research achievements and promote the process of agricultural modernization.Ultimately, the agricultural socialized service industry is a knowledgeintensive industry that required high-quality and highly skilled professionals to provide complete services to farmers and improve production efficiency.
Policymakers and stakeholders should promote an appropriate scale of rural land and encourage innovative land transfer.As urbanization continues to accelerate, resulting in land wastage, a land transfer policy should also be developed.Large-scale rural land could help stimulate farmers' demands for socialized agricultural services and promote continuous improvement in the sector.At the same time, these measures would reduce farmers' production costs, improve scale and production efficiency, and alleviate the problems caused by the reduction in the rural population.
This study provides insight into the socialized mechanisms in use among farmers in China and the impacts of these mechanisms on agricultural output efficiency.Although each country has its policies and resources, the findings of the present study may help other countries and regions to adopt this system and similar models.These results and policy recommendations may be especially helpful for other countries that have small farming systems and high urban migration rates.

Limitations
Although this study covered different aspects of the topic, the following limitations remain.This study did not consider data on precipitation, which is important for production in terms of environmental impacts.Moreover, agricultural plastic film and subsidy policies for agriculture variables were not calculated in this analysis; therefore, future research should consider these variables.Furthermore, household socio-economic variables, such as the number of households, education, and dependent children, were unaccounted for.Thus, future studies should consider integrating a primary survey with the present study's factors to more deeply understand aspects that influence production efficiency.

Figure 1 .
Figure 1.Map of the study area.

Figure 1 .
Figure 1.Map of the study area.

Figure 2 .
Figure 2. The historical growth of the agricultural socialized service levels in the study area.

Figure 2 .
Figure 2. The historical growth of the agricultural socialized service levels in the study area.

Table 1 .
Table1outlines the factors and variables used for the investigations in this study, and explanations are given for each factor/variable, where i denotes the index layer represented by x 1 , x 2 , x 3 , ..., x 24 in the second column of the table, and j denotes the criterion layer represented by c 1 , c 2 , . ...c 7 , as shown in the first column of Table1.This table presents the criterion layer, index layer, and units in the columns.Comprehensive evaluation index system of agricultural socialization.

Table 2 .
Entropy model measurement results for agricultural socialized service levels.

Table 3 .
Measurement of agricultural production efficiency.

Table 4 .
Grey correlation between socialized agricultural services and agricultural production efficiency.

Table 5 .
Regression results for agricultural socialized services and agricultural production efficiency.