Determinants of scale of farm operation in the eastern region of Ghana

Background: Ghana’s smallholder share area under cultivation is witnessing a gradual decline, relative to the share of farmland under medium scale that is growing rapidly. Little attention has, however, been given to examining the drivers that influence scale of operation. Method: Using survey data from 231 farmers, this study employed the binary probit regression to assess factors that influence scale of farm operation among cassava and maize farmers in Ghana’s Eastern Region. Results: The findings showed that factors that were significant and positively related to farm size were age, secondary education, land acquisition for maize farmers, and tertiary education for cassava farmers. On the other hand, factors that were significant and negatively related to farm size were gender, marital status, access to extension services for cassava farmers, and household size, membership of farmer-based organization and access to credit for maize farmers. Conclusion: The study recommends the provision of mechanization support for medium-scale farmers coupled with the improvement of extension service delivery to medium-scale farmers. With messages focused on the adoption of improved technologies and mechanization of farm operations.


Background
The consensus in both the extant literature and the development arena on the need to upscale farm sizes in Africa as a means to achieving the Sustainable Development Goal (SDG) − 2 of zero hunger is not in doubt. Jayne et al. [19] and [33] argued that the achievement of this realization requires a shift from small-scale farming to large-scale commercialized farming. The debate has interrogated the pathway for Africa's agricultural transformation. A pertinent research question that ensues include, whether Africa's agricultural transformation agenda should be pursued through dedicated attention to large-scale commercial farming or otherwise? Much of these arguments and research questions are premised on the merit of efficient production systems and economies of scale.
Several studies indicate an inverse relationship between farm size and land productivity. These studies conclude against conventional wisdom that smaller farms rather generate higher productivity gains than larger farms (see [21,23,51] for reviews of this literature). A plausible reason is that smallholder farms have lower labour transaction costs, more inputs-intensive, and specialized skills and knowledge [12,21,39]. Fan et al. [23] cautioned classifying small-scale farms as a homogenous group, shedding light that differential variations exist among small-scale farms. This implies that some smallscale farms are more profit-efficient than others. Perhaps, these small-scale farmers that are less profit-efficient should be supported to divert to seek non-farm employment opportunities.
Other researchers have suggested this to be counterproductive as this path will rather escalate poverty, food insecurity and social tensions. Attention could be turned to investing in commercializing smallholder agriculture [30,35,61]. Anang et al. [4] observed that farm size has a significantly positive effect on scale efficiency with most of the farms operating at increasing returns to scale. The argument requires a radical shift from small against large farm sizes to context-specific interventions targeting different types of farm sizes. This is because there is dynamism in the concept of farm size contingent on changes in a country's economic performance at the macro and micro-levels [22].
A debate that has gained less traction, is the growing numbers of home-grown medium-scale and large-scale farmers in Africa [5,46,47]. Jayne et al. [33] assessed transitioning in farm size distribution in Africa and found a decrease in land size holdings less than five hectares (small-scale farms), whereas there is a rapid increase in medium-scale (5 ha-100ha). This rapid increase is a result of three types of farmer groups. The first group is the influential rural elites who are in the rural areas and have acquired large farmlands, which is a departure from the usual case where most rural people have less than two hectares of land. The second group is the elite-urban based who are in the urban areas and have acquired farmland from non-farm income and the third group are the small-scale farmers who have transitioned to medium-scale sizes over years of farming, referred to by Jayne et al. [33] as "successful medium-scale farmers". The authors projected medium-scale farmers to control a share of farmland of about 20% in Kenya, 32% in Ghana, 39% in Tanzania, and over 50% in Zambia. The mediumscale farmers are predominantly middle-aged men formerly or currently employed by the public sector, having acquired large tracks of land purposively for agriculture [5,34].
In Ghana, farm expansion to medium and large-scale has mostly been due to farm expansion from small farm sizes of two hectares or less and the entry of few urban elites who acquired farmland for commercial agricultural production [14,17,34]. This transitioning process appears peripheral with little recognition given to the dynamic features in the process of growth. The scanty studies that have reported the emergence of these medium and large-scale farmers in Ghana have shown positive spill-over effects to other small-scale farmers. For instance, Houssou et al. [30] reported on small-scale farmers gaining access to tractors from medium and large-scale farmers thereby being able to plough large sizes of farmlands for farming than they would have through rudimentary means. These medium and largescale farmers have transitioned surviving the challenges of farming. They have persevered, learnt from their mistakes, and made profits from their farming activities. These farmers have been able to increase market access, infrastructure, hired labour, weedicides, machinery, financial capital, improved/hybrid seeds, fertilizers, pesticides, veterinary drugs and agricultural extension services. They have overcome or adapted their farming strategies to survive the challenges of climate change, price shocks and limited financing options.
Generally, the literature on drivers of farm scale that focuses on Africa is scarce and disperse. For instance, Masters et al. [43] showed that demographic transitioning affects farm size upscaling in Africa and Asia that often leads to less land and a shift of labour into the nonfarm sector. Debonne, van Vliet, Ramkat, Snelder, and Verburg [18] argued that there is no difference in yield between small-scale farms and medium-scale farms in Kenya. Their study underscored the need to focus on medium-scale farms. Masters (2013) concluded that a rise in large-scale farms is a factor that reduces smallscale farms. Akudugu [10] concluded that an interaction between credit source and farm size significantly affects agricultural productivity in Ghana. Jayne et al. [33] showed a decline in small-scale farms in Africa and an inclination towards medium-scale farms, about 32% in Ghana. These authors also concluded a general rise to medium-scale farms in Ghana and additionally cautioned on the potential of medium-scale farms to exacerbate land scarcity and transition small-scale farms.
Maize and cassava constitute major staples in Ghana, ironically, few studies [41] on Ghana remain explicit in examining the drivers that underline the scale of operation of maize and cassava in Ghana. Khandker and Faruqee [37] argued that participation in the formal financial sector contributes to the transition to largescale farms. The debates appear inconclusive. This article aims to examine the determining factors that influence farm size among maize and cassava farmers in the Eastern Region of Ghana. An understanding of the factors influencing the scale of operation will inform policy decisions in promoting farming as a business among smallscale farmers, provide a better understanding of the features of medium-scale to design appropriate support systems for these farmers.
This paper contributes to bridging gaps in the literature in two ways. First, the article presents an understanding of factors that influence the scale of farm operation in the global south using the Eastern Region of Ghana as a case study. Indeed, this is a build-up to giving clarity to factors affecting the scale of operation.
Second, few papers focus on factors affecting the scale of operation of major staples in Ghana. The few that exist in Ghana are rather skewed towards northern Ghana [4,10,49]. This paper, therefore, contributes to the limited papers [10] [53] on southern Ghana to reduce the unbalanced literature on Ghana.

Study area
The study was undertaken in the Eastern Region of Ghana. Farmers interviewed were selected from three districts-Afram Plains South, Suhum Kraboa Coaltar and West Akim districts (Fig. 1). The Eastern Region of Ghana is a top producer of cassava with an average annual production of 4,466,906.01 Mt, and the second top producer of maize with an average production of 400,704.25 Mt. (MoFA, 2015). Both maize and cassava are major staples in Ghana mostly cultivated by smallholder farmers.

Research design and sampling procedure
The study used an ex post facto research design [16] to explain factors influencing farmer's scale of operation. According to Cohen et al. [16], ex post facto experiments begin with groups that are already different in some respect and search in retrospect for factors that brought about these differences [16]. Emphasis was laid on factors that influence scale of operation of cassava and maize farmers.
Farm size varies based on a specific strategy in production, degree of market integration, inputs access, innovation, infrastructure, and off-farm labour opportunities [27]. The land size threshold is used by many countries in categorizing farm sizes [28,36]. This approach considers the share of land effectively used by a farming household for farming [36]. We followed the land size categorization in the 2016/17 Ghana Living Standards Survey [25]. Small-scale farm sizes are categorized to have farm size areas less than 5 ha, mediumscale farm sizes have farm size areas between 55 and 100 ha and large-scale farm size areas having farm size areas above 100 ha [25].
The land size approach has, however, been criticized for being overly simple, inadequate to characterize the specific problems faced by different typologies of farmers. The land size approach fails to account for the quality of resources, types of crops grown, or disparities across regions [36,48,52]. According to Khalil et al. [36], an option that could be considered is to define qualitative parameters of land, accounting for their potential, or their use. This would reduce the difficulties of comparing hectares in distinct contexts. For this study we focus on two different staple crops-maize and cassava-which makes comparison of hectares of the two crops difficult.
To avoid comparing and treating hectares of maize same as cassava, we employed a qualitative approach to obtain qualitative parameters of land size categorization for the two crops.
We further organized focus group discussions where farmers were asked to categorize their scale of operation based on their own classification of small, medium and large-scale farm sizes. We observed differential classification of farm size among the cassava and maize farmers. Cassava farmers considered small-scale farmers to have farm sizes of less than two hectares, whereas maize farmers considered this group of farmers to have farm sizes less than five hectares. Medium-scale cassava farmers were categorized to have farm sizes of two to five hectares (Ha) and five to twenty hectares for maize farmers. Large scale farm sizes were categorized as farm sizes above five hectares for cassava farmers and above 20 hectares for maize farmers. Farmers classification for small and medium-scale farm sizes falls in line with the classification in Ghana Living Standards Survey GLSS7 [25], however, farmer's classification of large-scale farm sizes is not consistent with the classification in GLSS7 [25]. This may be attributed to the fact that many of the farmers operate on a small scale.
Hence for this study, we use the following categorization of farm size (see Table 1). We categorized smallscale cassava farmers as farmers with farm sizes less than two hectares. Medium-scale cassava farmers for this study were categorized to have farm sizes above two hectares. The largest cassava farm size recorded for this study was 16 hectares which under the GLSS [25] farm size classification falls under the medium-scale farm size. For maize farmers, we categorized smallscale as farm sizes less than 5 hectares, and mediumscale as farm sizes above 5 hectares. The largest maize farm size included in this study was 80 ha which did not exceed 100 hectares.
The farmers were randomly selected from three districts in the Eastern Region: Afram Plains South, Suhum Kraboa Coaltar and West Akim districts. Additionally, three operational areas were randomly selected from the total number of operational areas in each of the selected districts. Farmer population lists from operational areas were obtained from the districts Department of Agriculture. Based on Arnab [6] formula of drawing without replacement, a total of 231 farmers were selected from the farmer population list (Table 1). This was done by using the lottery system where selection was done without replacement, hence the total farmer population always reduced by one. Using this method, every farmer in the population has the same probability of being selected [44]. The data were collected from March to September 2019.
We used a semi-structured questionnaire to gather information on farmer characteristics, economic activities, goals and aspirations, land acquisition, land ownership/control, land use, production practices, access to finance, farm planning, budgeting and records keeping. Farmers were also asked for their opinion on factors that had accounted for their current farm size operations.

Model specification
The objective of this paper was to examine the factors that affect the scale of operation or farm size among cassava and maize farmers in Ghana. Given that the decision to choose a farm size is a discrete outcome, the appropriate econometric procedure used is a choice model. Specifically, binary Logit and Probit models are the most appropriate in this case. Moreover, it is argued that binary probit and logit produce similar results [8]. This study employed the binary probit model. Basically, the theoretical layout of the probit model was specified as: where S i is a binary latent dependent variable denoting the decision of cultivating a farm size (1, if a farmer decides to cultivate medium-scale or 0 small-scale), Z h is the explanatory variable of the regression related to the farmer, α is the parameter to be estimated, and ε is the independent error term, identically distributed with zero mean and constant variance. The coefficient of a binary choice model does not have a direct interpretation. Therefore, the marginal effect (marginal propensity to save) must be computed by taking the first partial derivative of Eq. 3 concerning Zh. The marginal effect shows the effect of a unit change in the explanatory variable, which brings about a change in the dependent variable [29]. The marginal effect was expressed as, The farmers' decision of cultivating a particular farm size can be written as: where is the cumulative distribution function for ε i . The explanatory variables extracted from the data are reorganized into socioeconomic characteristics, household assets and institutional variables related to the farmers.

Descriptive results
Out of 231 farmers who responded to the survey, 121 farmers cultivated cassava representing 52 percent. However, 111 farmers constituted 48 percent cultivated maize. Seventy-eight (78) percent of the farmers were involved in small-scale farming while the rest engaged in medium-scale farming. Eighty percent (80%) of the respondents were engaged in cassava small-scale farming while 77% of maize farmers were engaged in smallscale farming ( Table 2). This supported the claim that the agricultural sector in Ghana was largely dominated by small-scale farmers who cultivate less than a hectare of farmland [1]. Moreover, a report by the Food and Agricultural Organization (FAO) claimed that most farms in Ghana have an average size of less than 1.6 hectares [22]. This was so because the agricultural land tenure system is largely by inheritance. Therefore, most farmlands are fragmented among family members from one generation to another [20]. This justified why most farmlands were self-own and largely used for small-scale farming. Almost all farmers were married and had an average household size of seven. Large family size is a predominant feature in rural areas in Ghana [25]. Farmers with large family sizes tend to depend on the family members for additional unpaid labour for farming activities [23,38]. There is limited extension access among cassava small-scale farmers (0.278) and medium-scale farmers (0.166). Kwapong, et al. [38] underscored the need for pluralistic extension (government sources, private and farmer-to-farmer) in bridging extension gaps in underserved communities. However, farmers who cultivate maize on a medium-scale, had high extension access (0.960) while small-scale maize farmers had limited extension access. This is because farmers who cultivated maize on a medium-scale were more likely to contact extension agents for improved seeds, fertilizers, and advisory services.
The majority of the farmers do not have access to credit facility. This was due to credit market imperfection in Ghana. Agricultural credit from donor partners has fallen dramatically in recent years because of the observed high risk [15,54]. This is because rural farmers are high-risk debtors due to their penury status and the perception that they are repayment defaulters [9,45]. This makes financial sector borrowing become a tough choice for most farmers even though it is widely documented that farmers' access to credit is an important factor in improving agricultural productivity [7,25,56]. Most farmers, therefore, resort to informal credit sources such as money lenders, friends, relatives, traders, microcredit associations, etc.; Sekyi et al., [56] and Akudugu [10] found a significant relationship between farmers' access to informal credit, farm size and agricultural productivity.

Determinants of farm size
Probit estimates of determinates of the scale of operation among maize and cassava farmers in the Eastern Region of Ghana are presented in Table 3. Factors that were significant and positively related to farm size were age, secondary education, land acquisition for maize farmers, and tertiary education for cassava farmers.
On the other hand, factors that were significant and negatively related to farm size were gender, marital status, access to extension services for cassava farmers, and household size, membership of farmer-based organizations (FBOs) and access to credit for maize farmers. This implies that any increase in any of these variables would lead to a decrease in the farm size.   Table 3 above, we focus on the discussion of the probit results and additionally present the logit results as a robust/sensitivity check. The results revealed that there is a direct relationship between the age of maize farmers and the size of farmland for both probit and logit models. As farmers age increases there is a possibility that farmers would likely increase their unit of farmland for cultivating maize. Age has been associated with the size of farm operations [13]. Age is an indication of the level of experience of farmers, which can have direct implications for the decision-making processes and physical ability to manage particular enterprises [13]. According to Kwapong et al. [38], farmers are likely to increase their farm sizes over the years based on their experiences and the decision to reinvest their profits into their farming business. As farmers grow older and have reduced physical ability to engage in farm activities that require strength, they are likely to decide to hire labourers and mechanize their operations in expanding on their farm size. Even though age is correlated with experience, it is important to note that farmers make use of both direct and indirect experience in decision on farm size. Farmer's experience is gained by farming over the years and also indirectly by collecting information Table 3 Determinants of scale of operation for cassava and maize from other fellow farmers. Santeramo [54] found that both direct and indirect experience influences farm size. Experience directly acquired is relevant for medium and large farms [54]. Experience indirectly acquired through the spillover effect of seeing other farmers expand their farm size over the years is relevant for farmers with small farm sizes. Santeramo et al. [52] additionally showed that large farm size positively affects participation in agricultural insurance in Italy. This is contrary to a finding by Ankrah et al. [2] that showed that low knowledge about insurance products contributed to low agricultural access and acceptability in the case of Ghana. Giampietri et al. [15] additionally highlighted the role of trust in insurance uptake in Italy. The findings ( Table 3) also revealed that for cassava farmers, farmland size is likely to decrease by 10% when cultivated by female farmers. Cassava production is labour intensive and entails gender dynamics in many production activities including land clearing, tillage, planting, weeding, harvesting, and processing. About 80% of land preparation is done by men [40]. For cassava production, males are more technically efficient than their female counterparts in productive function [32]. As women age, they remain limited to engage in certain productive functions coupled with their differential access to productive resources [3]. Women for instance hire labour to perform most of the productive functions, which has a significant effect on their scale of operation. This result implies that, there is less prospect for increased scale of operation for sustainable cassava production among the female farmers.
The results ( Table 3) also revealed that, cassava farmers with tertiary education have a probability of increasing their farmland by 24%. Also, if maize farmers have some level of secondary school education, there is a probability of increasing their farmland by 14%. Farmers' with some level of education higher than basic education were more likely to increase their scale of operation. This finding agrees with Jayne et al. [33], who observed an increase in the number of the elite in the urban and rural areas who have acquired farmlands from non-farm income. This finding, however, differs from that of Tolulope and Omonona [59] who found that as farmers acquire additional years of education, they tend to drift towards paid jobs which consequently reduces the amount of time available for farm activities and a decline in the area of land cultivated.
The study findings (Table 3) revealed that farmers who are married and cultivating cassava are likely to decrease their farmland size by 17%. Married farmers may have a lot of family needs and more use for limited resources that can be invested in farm expansion, hence may decrease on their scale of operation. This result is consistent with Udensi et al. [60] who found a negative relationship between marital status, farm size and adoption of improved cassava varieties. All the maize farmers included in this study were married, hence there was no variation in their choices.
We also found (Table 3) an inverse relationship between the household size of maize farmers and the farm size under cultivation. If household size increases, farmland size under maize cultivation decreases. This can probably be explained by the land tenure system in Ghana. According to Donkor and Owusu [20], the agricultural land tenure system is largely by inheritance in Ghana. Therefore, most farmlands are divided equally into smaller pieces among family members from one generation to another [20]. This reduces the size of farmland under cultivation. Also, with larger household sizes, families use some of the resources to cater for children and other household needs. Hence, reducing the available resources that can be invested in expanding farm size.
Maize farmers who are members of farmer-based organizations (FBOs) are likely to decrease their farm size by two percent (Table 3). This can be explained by farmers focusing on intensification with increased demand for mechanization [17,58]. Also, the kind of agricultural information that maize farmers receive from extension agents is mainly centered on promoting diversification of farm operation and intensification to increase efficiency and productivity [38]. As such, maize farmers tend to focus on increasing productivity of their current scale of operation and making gradual expansion of their farm size.
The results further revealed that maize farmers who do not own their land were likely increase their farmland size for maize cultivation by 22%. Land acquisition has a substantial influence on the scale of operation. Purchased farmlands, leased and those acquired through shared crop contracts are directly associated with farmers scale of operation. Farmers involved in shared cropping arrangements are likely to farm larger acreages as they must share the harvested produce with the landowner. Farmers renting farmlands, mostly plant produce on all the rented land and pay a fee to the landowner. Thus, the farmer rents the size of land for which he is prepared and capable of farming in the immediate term. Farmers who inherited land continuously expanded their farm size and rented or went into shared cropping arrangements with other farmers. Giampietri et al., [15] argued that trust was important aside land tenureship. This is because trust positively affects decision to insure crops.
The results also revealed that access to extension services had an inverse influence on farm size under cassava cultivation. Thus, if a farmer has access to extension services, he might decrease farmland under cassava cultivation by 10%. This can be explained by the emphasis on extension messages that centered on encouraging the adoption of improved technologies, intensification, and diversification of farming activities to increase the efficiency and productivity of farmers.
The results also show that maize farmers with access to credit are likely to decrease their farmland by 12%. This is explained by the fact that farmers may not likely invest the credit into their farm operation but may use the credit for other non-agricultural-related activities. Most of the farmers interviewed for this study relied on their own capital for their farming activities. Most farmers resort to informal credit sources such as money lenders, friends, relatives, traders, microcredit associations. Sekyi et al. [56] and Akudugu [10] found a significant relationship between farmers' access to informal credit, farm size, and agricultural productivity.

Conclusion
This study assessed factors that influence farm size/scale of operation among cassava and maize farmers in the Eastern region of Ghana. The findings showed that factors that were significant and positively related to farm size were age, secondary education, land acquisition for maize farmers, and tertiary education for cassava farmers. On the other hand, factors that were significant and negatively related to farm size were gender, marital status, access to extension services for cassava farmers, and household size, membership of farmer-based organizations (FBOs) and access to credit for maize farmers.

Policy recommendations
We recommend that government should provide mechanization support for medium-scale farmers. This is premised on the finding that as farmers age, they are likely to increase their farm size. However, as farmers grow older, they have reduced physical ability to engage in farm activities that require strength, they are likely to decide to hire labourers and mechanize their operation in expanding on their farm size. There is therefore the need to explore labour-saving technologies by mechanizing farm operations to reduce cost and demand for labour for medium-scale farmers.
We recommend improvement in the delivery of agricultural extension messages to medium-scale farmers focusing on the adoption of improved technologies and mechanization to increase farmers productivity.

Limitations and assumptions
Results of the study can be generalized only to the Eastern Region of Ghana involving maize and cassava farmers within the Afram Plains South, Suhum Kraboa Coaltar and West Akim districts. It was assumed that the survey results accurately portrayed surveyed farmers' perceptions of determinants that affect the scale of operation.