The impact of participation in agricultural industry organizational models on crop yields: evidence from Chinese wheat growers

Increasing income for grain farmers is crucial to mobilise farmers’ incentive for grain cultivation. This article, based on the survey data of 2032 wheat growers in Anhui Province, China, employs the Logit model, multinomial Logit model, and entropy balance-OLS regression method to empirically analyze the factors influencing wheat growers’ participation in agricultural industrial organization models and the impact of their participation decisions on planting returns. The research found that: (1) Wheat growers with richer resource endowments are more likely to participate in agricultural industrial organization models. Factors such as household head’s education level, training experience, quality of arable land, scale of operation, and labor endowment are crucial determinants of wheat growers’ decisions to participate in industrial organization models. (2) Participation in agricultural industrial organizations significantly enhances the net income of wheat growers. Comparatively, the income-boosting effect is more pronounced for those participating in the “household + farmer cooperatives/agricultural enterprises” model. (3) The mechanisms through which wheat growers’ participation in different agricultural industrial organization models affects their crop yields vary. The income-enhancing effects of wheat growers' participation in the “household + farmer cooperatives/agricultural enterprises” model of industrial organization primarily stem from the improvement in land productivity and market bargaining power. On the other hand, the income-enhancing effects of participation in the “household + village collective + farmer cooperatives/agricultural enterprises” model are mainly attributed to the improvement in market bargaining power. The policy implication is that priority should be given to cultivating and developing industrial organisations based on the model of “household + farmers’ co-operatives/agribusinesses” in regions where farmers are richly endowed with resources, and at the same time, the development of industrial organisations based on the model of “household + village collectives + farmers’ co-operatives/agribusinesses” should be supplemented in accordance with local conditions. At the same time, the development of “household + village collectives + farmers’ cooperatives/agribusinesses” mode is supplemented according to local conditions.


Data source
The data used in this paper are from a questionnaire survey of wheat growers in Anhui Province.Anhui Province is one of China's five net grain exporting provinces.The province's grain planting area reached 7309.6 thousand hectares in 2021, ranking fourth among China's 34 provincial administrative regions.Wheat is the most important grain crop in Anhui Province.In 2021, the wheat planting area in the province was 2846 thousand hectares, accounting for 42.97% of the total grain planting area, distributed in 15 cities except Huangshan City.In 2021, wheat output in the province reached 16.9973 million tons, accounting for 42.77% of the total grain output.This survey began in August 2022 and was divided into two stages.The first stage is to select Lujiang County and Changfeng County in Anhui Province for a questionnaire survey and in-depth interview.The subjects of the survey and interviews included wheat growers, government staff, farmers' cooperatives, agricultural enterprises and other subjects, with the aim of understanding the basic types and operation mechanisms of industrial organizations in wheat growing in Anhui Province, and further improve the research questionnaire on this basis, the final questionnaire included basic information of farmers, farmers' participation in agricultural industry organizations, wheat planting inputs and income, etc.The second stage uses a stratified random sampling method to determine the sample collection point (specific to the township) and conduct a formal questionnaire survey.Firstly, according to the median wheat planting area in 15 prefecture-level cities under the jurisdiction of the country (cities, districts) were divided into two groups: large wheat-growing counties (cities, districts) and small wheat-planting counties (cities, districts), and 15 counties (cities, districts) were randomly selected in each of the two groups, totaling 30 counties (cities, districts).Subsequently, 1-2 townships (towns) were randomly selected from each sample county as a questionnaire collection point for this survey.The final selected research sites cover 41 townships in Anhui Province.Finally, wheat growers were randomly selected according to the list of wheat growers provided by the sample township (town) agricultural authorities, and a questionnaire survey was conducted through a one-to-one questionnaire survey.A total of 2050 questionnaires were distributed in this survey, and finally, 2032 valid questionnaires were obtained from wheat growers, with an effective rate of 99.17%.

Typical fact analysis
This article draws upon the definitions and classification criteria of agricultural industrial organization models 8 .It classifies the types of agricultural industrial organization models based on the classification of the operating entities involved in these models.Through in-depth interviews and questionnaire surveys, it was found that the agricultural industrial organization models in the sampled regions exhibit diverse characteristics, including eight kinds of industrial organization models, respectively, "household," "household + cooperative," "household + enterprise," "household + cooperative + enterprise," "household + village collective," "household + cooperative + village collective," "household + village collective + enterprise," and "household + cooperative + village collective + enterprise.".As shown in Table 1, wheat growers in the sampled regions have a relatively high degree of organization.In the survey year, 58.15% of the sampled farmers participated in at least one agricultural industrial organization model, while 40.85% operated independently as household.Among the organizational models, the "household + farmer cooperative" model had the highest participation rate.This may be attributed to the enactment of China's first "Farmers' Specialized Cooperative Law" in 2007 and the introduction of a series of supportive policies, which accelerated the development of farmer cooperatives in China.By the end of 2022, there were 2.2436 million active farmer cooperatives in China, benefiting nearly half of the farmers.Additionally, village collectives play a significant role in reshaping agricultural industrial organization models.The survey found that 23.09% of household joined industrial organizations with village collectives involved.This not only helps reduce transaction costs for household when entering contracts with farmer cooperatives and agricultural enterprises but also mitigates issues related to the bargaining power of household.
In this study, wheat growers are initially divided into two categories: the treatment group and the control group based on whether they participate in agricultural industrial organizations.Specifically, wheat growers who participate in any industrial organization model are categorized as the treatment group, while those who do not participate in any industrial organization model are considered the control group.
The cooperative model often operates at the household level, utilizing the resources of individual households to engage in collaborative production.By helping each other, driving growth, benefiting from policy support, and collectively expanding production scale in a specific field, the cooperative model aims to achieve economies of scale.Firstly, when purchasing production materials or organizing the sale of agricultural products, this model can leverage economies of scale, thereby reducing the operational costs for individual farmers.Additionally, through collective decision-making and access to comprehensive market information, it can lower farmers' business risks, prevent blind operations, and to some extent, mitigate the impact of market competition.Secondly, www.nature.com/scientificreports/cooperative approaches can increase influence, enhance rural residents' enthusiasm for entrepreneurial activities, and expedite the development of projects into industrialization and scale in a region.This model is conducive to achieving industrial, product, and regional scale within a specific area, facilitating large-scale operations.The company cooperative model is also a widely explored approach by farmers.In this model, farmers contribute land or capital to establish a company as shareholders.Under this structure, the company manages operations, addressing production disparities arising from varying individual capabilities among cooperative members.Companies maintain separate accounting, shareholders share profits and risks, and farmers can directly participate in production.With unified pricing and market sales under the company model, there is no issue of revenue loss due to competition among partners in the same market, significantly boosting farmers' motivation and promoting regional industrialization.Village collectives refer to community-based rural collective economic organizations that operate under the dual-layer rural management system.They are collectively owned, cooperatively operated, democratically managed, and serve their members.Village collectives are supervised by township governments and work in coordination with village committees.They allocate necessary funds to fulfill village-level organization functions and adequately manage public affairs and public welfare projects in the village.
Considering that there is no significant difference between farmers' cooperatives and agribusinesses in China and the mechanisms linking farmers with farmer cooperatives or agricultural enterprises are relatively loose, village collective economic organizations in many regions participate in the reshaping of industrial organization models.Additionally, there is limited research data on some of these models.Therefore, based on the types of agricultural industrial organization models in which wheat growers participate, this study categorizes wheat growers who have not yet participated in any industrial organization as the control group (referred to as "smallholder farmers farmers" hereafter).The treatment group is further divided into two main categories: "household + agricultural enterprise/farmer cooperative" (Treatment Group I) and "household + village collective + cooperative/farmer enterprise" (Treatment Group II), as shown in Table 2.
Table 3 presents data on crop yields, input costs, and wheat selling prices for different categories of wheat growers.Mean t-tests reveal noteworthy findings: wheat growers participating in industrial organization models experience a substantial reduction in physical costs for wheat cultivation (including expenses such as pesticides and fertilizers) and mechanical input costs, compared to those who have not yet engaged in any industrial organization.Moreover, Treatment Group I demonstrates a certain degree of improvement in per-hectare yield.Table 3 also highlights that wheat growers engaged in industrial organization models command higher selling prices for their wheat compared to those who have not participated in such models.Additionally, wheat growers participating in models involving village collectives exhibit stronger negotiation capabilities in the market.As illustrated in Table 3, participation in industrial organization models tends to lead to enhanced net crop yields for wheat growers.

Decision-making model for industrial organization model selection
The industrial organization choice decision of wheat growers is a two-dimensional choice decision.Therefore, this paper uses Logit model to examine the influencing factors of their choice decision empirically.The basic form of the model is as follows: Among them, i represents the wheat growers, and Option i refers to choice decision for the industrial organi- zation model of the wheat growers i .If wheat growers i choose to participate in any industrial organization model, then Option i = 1 , otherwise it is 0. F(•) is the cumulative distribution function of the logical distribu- tion, x i is a set of exogenous variables that affect the choice decision for the industrial organization model of the wheat growers.This paper selects the personal characteristics of householder [9][10][11] , the characteristics of farmer households and the terrain conditions of the village (Table 4).β is the corresponding estimated parameter.In addition, considering that the economic meaning of the estimated coefficients of the Logit model is difficult to explain, this paper uses the Linear Probability Model (LPM) to estimate whether farmers participate in industrial organization as the dependent variable.
To further reveal the decision-making mechanism of wheat growers participating in different industrial organization modes (smallholder farmer, smallholder farmer + cooperatives/agricultural enterprises, smallholder farmer + village collectives + cooperatives/agricultural enterprises), this paper assumes that the random utility of wheat growers i choosing industrial organization mode j is: Among them, x i has the same meaning with formula (1), it is a set of exogenous variables that affect the choice decision for the industrial organization model of the wheat growers, and x i only changes with individual i, not with the type of industrial organization mode j.Obviously, if and only if the utility of industrial organization mode j is higher than that of all other industrial organization modes, wheat grower i chooses industrial organization mode j.Therefore, the probability of wheat grower i choosing industrial organization mode j can be set as: Assuming that{ε ij is iid and obeys the gumbel distribution, then formula (3) can be written as: Obviously, the sum of the probabilities of choosing the three types of industrial organization models is 1, that is J k=1 P Option ij = j|x i = 1 .To estimate the formula (4), this paper takes the wheat growers who have not yet participated in any industrial organization model, namely the "smallholder farmer" industrial organization model, as the reference group.β j is the estimated parameter. (1) . (2) . To investigate the impact of wheat growers' participation in different modes of industrial organization on their crop yields, this paper constructs the following model: Among them, Inc i represents the wheat planting income of wheat grower i, which is expressed by the aver- age planting income per mu.Option i indicates that the industrial organization model of wheat growers i is two-dimensional choice decision, and its setting is same with formula (1).In addition, to further investigate the impact of different industrial organization models on the planting income of wheat growers, this paper replaces Option i in formula (5) with Option ij , where j represents the type of industrial organization model.This paper including smallholder farmer, farmers + cooperatives/agricultural enterprises, farmers + village collectives + cooperatives/agricultural enterprises.In order to eliminate the problem of multicollinearity, formula (6) takes smallholder farmer as the benchmark.γ 0 is the intercept, and γ 1 is the estimated parameter.If it is significantly positive, it shows that the participation of wheat growers in agricultural industrial organizations can significantly improve their planting income.ε i is a random interference.
To further reveal the influence mechanism of different industrial organization modes on the planting income of wheat growers, this paper uses the Materialized cost per mu of wheat planting (seeds, fertilizers, pesticides) (Cost_materialized i ), machine cost per mu (cost_machine i ), yield per mu (yield i ) and wheat sales price (price i ) replace the explanatory variables in formulas ( 5) and ( 6), and re-model regression.2) respectively.The statistics at the bottom of columns (1) and ( 2) indicate good model fit for both.Examining the estimated coefficients, it becomes evident that variables such as the educational level of the household head, training experience, wheat grower's land quality, operational scale, and family labor endowment significantly influence the decision-making of wheat growers regarding their choice of industrial organization model.As this paper concerns wheat cultivation in China, based on the national context of China and the practical situation of the surveyed questionnaire subjects, the data units in this paper are in "亩" (mu) (1 mu = 0.06 hectares).

Industrial organization choice decision of wheat growers
Specifically, if the householder has a high degree of education or training experience, the probability of wheat growers participating in the agricultural industry organization mode is high.The results of the linear probability model show that participating in the industrial organization model will increase by 5.9% if the householder has a high school education or higher, and participating in the agricultural industrial organization model will increase by 24.1% if the householder has training experience.The reason could be that householders with higher education (5) The higher cultivated land quality of wheat growers, the higher the possibility of participating in the industrial organization model.The larger the scale of wheat growers and cultivated land transfer, the more likely they are to participate in the industrial organization model.This conclusion is consistent with the findings [11][12][13] .The possible reason is that farmers' demand for stable sales increases with the expansion of the planting scale.However, adopting modern industrial organization model can promote a more stable trading relationship between farmers and modern industrial organizations.Moreover, to save fixed transaction costs, agricultural enterprises and farmers cooperatives are more inclined to sign contracts with large-scale farmers 14 .The richer the labour endowment of wheat growers, the more likely they are to participate in the industrial organization model.The reason could be that the more labour-rich growers, the less dependent on agriculture, and the lower their willingness to participate in industrial organization models.Columns ( 3) and (4) in Table 5 report the fitting results of the multinomial Logit model.It is show that the higher the education level of the householder, the training experience, the cultivated land quality of the wheat growers, and the scale of operation significantly affect the decision-making of the industrial organization model of the wheat growers.The difference is that the higher the age of the householder, the more likely it is to participate in the organizational model of "household + village collectives + farmers cooperatives/agricultural enterprises", which is not significant in sequence (3).The reason could be that farmers cooperatives or enterprises do not favor older farmers.On the contrary, village collectives show enough inclusiveness to older farmers.In plain areas or areas with better irrigation conditions, wheat growers are more likely to participate in the organizational model of "household + village collectives + farmer cooperatives/agricultural enterprises".The reason may be that the village collectives in the region are more inclined to intervene in the change of industrial organization mode.

The impact of farmers' participation in industrial organization on wheat planting income
Wheat growers participating in industrial organizations and those not yet participating in any industrial organization are not randomly selected.Table 5 shows that wheat growers with higher education, training experience, transfer to farmland, better-cultivated land quality and larger planting scale are more likely to participate in industrial organization.Therefore, if the OLS estimation is directly performed on formulas ( 5) and ( 6), it is likely to lead to the deviation of the estimation results because of ignoring the sample selection problem.The propensity score matching (PSM) method proposed by Rosenbaum et al. has been widely used to alleviate the sample selection problem 15 .However, PSM requires all matched covariates to pass the balance test, but in practice, it is difficult for multidimensional covariates to pass the balance test consistently, and the resulting error level is often higher than 5% 16 .Entropy Balancing (EB) proposed by Hainmueller is a method for re-weighting multi-dimensional variables.The principle is to set certain moment constraints on covariates that may cause bias, so that the treatment and the control groups are balanced under constraints to obtain the weight of each sample.The larger the weight is, the closer the characteristics of the control group samples are to the treatment group, and the control group reweighted by entropy balance is closer to the treatment group9 17 .Therefore, after data preprocessing using entropy balance, this paper uses the OLS regression model to formulas (5) and (6).
The results of Table 6 show that before the entropy balance treatment, the mean value, standard deviation and skewness of the householder, family and village characteristics are significantly different between the treatment and control groups.After the entropy balance treatment, the mean value, standard deviation and skewness of the treatment and control groups' characteristic variables were close.
Previous studies have shown that compared with traditional industrial organization models, modern industrial organization models such as "household + cooperative" and "household + enterprise" have increased farmers' income through production services, premium payment and financial support.According to Chen Chao et al. when compared to the traditional market trading model, modern industrial organization models such as "household + farmer cooperatives" and "household + agricultural enterprises" can change the traditional extensive production mode of smallholder farmer to a certain extent, optimize the allocation of farmers' production factor, and then guide farmers to carry out scientific and standardized production 18 .To validate the impact of wheat growers' participation in industrial organizations on their planting benefits, this paper uses the entropy balancing data preprocessing method to process household characteristics, family features, and village characteristics.Then, it conducts OLS estimation on Eqs. ( 5) and ( 6).The empirical results, with some missing data excluded, are presented in Table 7.In Table 7, columns (1) and (3) show that without entropy balancing treatment for the treatment and control groups, the effect of wheat farmers&apos; participation in agricultural industry organizations on their planting income is not significant.Conversely, column (2) indicates that after undergoing entropy balancing treatment, the "participation in industry organization" variable is significantly positive with an estimated coefficient of 0.0183.This suggests that under the premise of controlling sample selection bias, wheat farmers participating in any agricultural industry organization model can significantly increase their net planting income (higher yield, reduced costs), approximately by 18.3 CNY per mu.The results in column (4)  demonstrate that compared to small-scale farmers with dispersed operations, wheat farmers participating in the "household + farmer cooperative/agricultural enterprise" planting model can significantly increase their net planting income by approximately 20.6 CNY per mu.Additionally, wheat farmers participating in the "household + village collective + farmer cooperative/agricultural enterprise" planting model can increase their planting income by approximately 14.1 CNY per mu.

Analysis of the influence mechanism of participating in industrial organization on farmers' crop yields
To further reveal the influence mechanism of agricultural industrial organization mode on the wheat growers' crop yields, this paper uses the explanatory variables of materialized cost, machinery cost, average yield per mu and wheat sales price replacement formulas ( 5) and ( 6), and re-model regression.The results of Table 8 show that compared with wheat growers who have not yet participated in any industrial organization, participating in the industrial organization has significantly increased the average yield per mu and sales price, the average yield  per mu has increased by 31.15 kg, and the sales price has increased by 0.0262 CNY CNY per kg.The impact of participating in the agricultural industrial organization model on the mechanical cost input and materialized cost input of wheat growers is not significant.In other words, the impact of the agricultural industry organization model on wheat growers is mainly achieved by increasing their land output rate and market bargaining power.Table 9 reports the estimated results which indicate that the findings indicate that participation in the "household + farmer cooperatives/agricultural enterprises" model can significantly improve wheat growers' land productivity and market bargaining power.Compared with the decentralized management mode of smallholder farmer, wheat growers participating in the "smallholder household + farmers cooperatives/agricultural enterprises" organization mode will increase the average yield per mu by 90.64 kg and the sales price of wheat by 0.0488 CNY/kg.On the contrary, village collective intervention in the industrial organization model only helps to improve the market bargaining power of wheat growers, and the wheat sales price of wheat growers will significantly increase by 0.0588 CNY/kg CNY (Supplementary Information).

Research conclusion
The scientific analysis and empirical research on the organizational models of the wheat industry in Anhui Province hold significant practical significance for China's achievement of high-quality and high-price grain production and the enhancement of food security.In order to conduct a more comprehensive empirical study on the optimal organizational models for wheat production, this paper focused on 2032 wheat growers in Anhui Province.It employed Logit models, multinomial Logit models, and entropy balance-OLS regression methods, selecting factors such as wheat planting income, costs, and farmer endowments as indicators.The study examined the influencing factors of wheat farmers' participation in agricultural industry organization models and the impact of their participation decisions on planting income.The results indicate that: (1) The richer the resource endowment of wheat growers, the higher the probability of their participation in the agricultural industrial organization model.The householder's education level, training experience, family-cultivated land quality, operation scale and labour endowment are essential factors influencing the wheat growers' participation in the decision-making of industrial organization mode.As the household head's training experience becomes more extensive, the probability of their participation in agricultural industry organization models will increase by 23.9%.Similarly, as the educational level of the household head rises, the likelihood of their participation in industry organization models will increase by 5.7%.The policy implication is that priority should be given to fostering the development of agro-industrial organizations in regions with rich resource endowments of farm households.(2) The participation of wheat growers in agricultural industrial organizations can significantly improve their income.Compared with the participation of "household + farmers cooperatives/agricultural enterprises" mode, the effect of industrial organization income increase is more obvious.This significantly increases their net planting income by approximately 20.6 CNY per mu.Its policy implication is that the government should to actively guide farmers to participate in agricultural industrial organizations, primarily based on the "household + farmers cooperatives/agricultural enterprises" model, which is an effective measure to increase farmers' income.(3) There are variations in the impact mechanisms on planting income for wheat farmers participating in different agricultural industry organization models.Wheat farmers engaged in the "household + farmer cooperative/agricultural enterprise" model of industry organization will see an increase of 28.9 kg in yield per mu, and the selling price of their wheat will rise by 0.0584 CNY per kilogram.Therefore, the income enhancement effect of the "household + farmer cooperative/agricultural enterprise" model primarily stems from improved land productivity and market bargaining power.On the other hand, for those participating in the "household + village collective + farmer cooperative/agricultural enterprise" model, the selling price of wheat will significantly increase by 0.0588 CNY per kilogram.Hence, the income enhancement effect of the "household + village collective + farmer cooperative/agricultural enterprise" model primarily arises from the improvement in market bargaining power.The policy implication is that priority should be given to the development of the "household + farmer cooperative/agricultural enterprise" model of industry organization.Meanwhile, the development of the "household + village collective + farmer cooperative/agricultural enterprise" model can be considered on a case-by-case basis, as it serves as a beneficial complement to the former.

Policy suggestion
Based on the above conclusions, the following recommendations are proposed: (1) Actively encourage farmers to participate in crop industry organizations.Governments at all levels should intensify efforts to promote crop industry organizations, guiding farmers to understand the operational models of these organizations.Tailor guidance to meet the diverse needs of farmers and encourage their participation in various forms of crop industry organizations according to local conditions.(2) Support the development of crop industry organizations.The primary reason for farmers not participating in crop industry organizations is the limited availability of such models.Relevant authorities should provide support for the development of crop industry organizations through financial assistance, favorable policies, and incentives.Encourage leading enterprises to establish industrial bases and initiate high-quality cooperatives.Motivate village collectives to actively engage in the operation of these organizations, continuously enhancing the involvement of key players in the industry chain.This should lead to a shift from binary cooperation to diversified collaboration.(3) Strengthen the management of crop industry organizations.Emphasize comprehensive supply chain management, enhance processing capabilities, and improve the profitability of these organizations.Establish robust trust mechanisms within these organizations and expedite the implementation of organization branding development strategies. https://doi.org/10.1038/s41598-023-43879-0www.nature.com/scientificreports/

Table 1 .
Types of industrial organization models for wheat planting farmers.

Table 2 .
The categorization of wheat growers based on the types of industrial organization models.
GroupTypes of industrial organization models Control group Household (wheat growers who have not yet participated in any industrial organization) Treatment group I Household + enterprise Household + farmer cooperative Household + farmer cooperative + enterprise Treatment group II Household + agricultural enterprise + village collective Household + farmer cooperative + enterprise + village collective Household + village collective Household + village collective + farmer cooperative

Table 3 .
Means T-test for outcome variables.Values in parentheses are standard deviations and values in square brackets are t-values.If P < 0.05, the significance is * ; If P < 0.01, the significance is **; If P < 0.001, the significance is ***.

Table 4 .
Control variables: definition and descriptive statistics.

Table 5
reports the estimation results for both the Logit model and the Linear Probability Model (LPM) in columns (1) and (

Table 5 .
Decision-making of wheat growers participating in industrial organization model.If P < 0.05, the significance is * ; If P < 0.01, the significance is **; If P < 0.001, the significance is ***.

Logit LPM Multinomial logit model [control group: small farmers] (1) (2) (3) Farmers + cooperatives/enterprises (4) Farmers + village collectives + cooperatives/ enterprises
have a better understanding of the welfare improvements brought by participating in the industrial organization model, and agricultural enterprises or farmers cooperatives are more likely to absorb householders with higher education and technical training to participate in agricultural industrial organizations.

Table 6 .
Entropy balance processing results.

Table 7 .
The impact of participating in industrial organization on wheat crop yields.If P < 0.05, the significance is * ; If P < 0.01, the significance is **; If P < 0.001, the significance is ***.

Table 8 .
The influence mechanism of participating in industrial organization on the wheat growers' crop yield.If P < 0.05, the significance is * ; If P < 0.01, the significance is **; If P < 0.001, the significance is ***.

Table 9 .
The impact of participating in different industrial organization models on farmers' crop yields.