Simul8 Modelling
The Simul8 setup includes four basic objects, with two being active (Start and Activity) and the remaining two passive (Queue and End). In Simul8, both labels and resource are critical. The study then conducted 201 surveys from farmers. The survey questions covered various aspects such as the farmers’ wards, size of land for cultivation, source of sweet potato vines (slips), varieties of sweet potato skin planted, equipment used for land preparation, cultivation, harvest preparation, and harvesting sources and types, types of pesticides used, and the number of laborers. The survey data were incorporated into the Simul8 model to help identify bottlenecks in the chain and overall business outcomes.
- (a)
Entry point
At the “Start” object, sweet potato vines from various origins, spacing between vines, and skin colors, enter the system, with an assumed distribution of one day on average. Three-quarters of the farmers surveyed obtain their sweet potato slips from their gardens (76.11%), and nearly 20% from neighboring farmers (19.90%). Sweet potato vines are typically packed in 50 kg sacks for both commercial and personal use. Since most vines are generated from the farmers’ own farms, it is often challenging to estimate the number of vines (in 50 kg sacks) used per hectare of land. With an average slip length of 20 cm and moderate thickness, each slip weighs approximately 50–100 g. This means there are about 20 slips per kilogram. Therefore, a 50 kg sack contains roughly 1000 vines.
Standard spacing and planting density are also critical in estimating the number of vines per hectare. This spacing allows the vines room to spread and grow. A common spacing for sweet potato vines in Zimbabwe is about 30 cm between slips and 90 cm between rows, representing a planting density of about 0.27 square meters. With one hectare equaling 10,000 square meters and 3.7 vines per square meter, the total number of vines per hectare is estimated at 37,000. These estimates provide a framework for simulating sweet potato plantations (per hectare) using Simul8.
The DES model, built using Simul8, simulates different scenarios and optimizes inputs to either maximize market output or minimize home consumption, depending on economic goals. For this study, sweet potato vines, categorized by skin varieties, are routed from the “Start” object to the “Cultivation” and “Harvesting” activity objects in Wards 1, 2, 3, 4, and 7, as shown in
Figure 3. Among the 201 farmers involved in the study, 11.44% (23 farmers) planted sweet potatoes in Ward 1, covering 9.51 hectares. Similarly, 97 farmers (48.26%) in Ward 2 plant sweet potatoes on 30.4 hectares. In Ward 3, 31 farmers (15.42%) plant sweet potatoes on 18.26 hectares. In Ward 4, 8 farmers (4.98%) plant sweet potatoes on 5.8 hectares. Finally, in Ward 7, 45 farmers (22.39%) plant sweet potatoes on 18.58 hectares.
Table 6 below details the number of 50 kg sacks that are expected to be cultivated in each of the targeted wards.
- (b)
Label and resources
After defining and assigning values to the model at the “entry point”, labels were integrated into the simulation in order to collect different results. A label is a way to attach attributes to Work Items in the” simulation. First, a gender label was developed into the DES model, denoted as “lbl_gender”. This label is applied in each activity in the model, as shown in
Figure 3.
Table 7 reveals the farmer’s gender rate integrated into the model:
Another label applied in the Simul8 model is sweet potato skin varieties, denoted as “lbl_vine_color”. A probability distribution value per the percentage in each ward is integrated into the DES model as shown in
Table 8 below. This data provides a clear view of the distribution of sweet potato skin varieties across different wards, helping in understanding the preferences and cultivation patterns of the farmers in each ward in Goromonzi.
Sweet potato vine sources are critical because they impact the farmer’s budget, as 50 kg averages 5 dollars (
$). The sources also limit the farmer’s sweet potato skin varieties options. For instance, it is common for farmers to have white-skinned and red-skinned sweet potato vines, it is therefore difficult to acquire other skin types regardless of their extreme climate resilience and their potential exposures as shown in
Table 3.
Table 9 provides a detailed breakdown of the sources of sweet potato vines used by farmers in different wards. Unlike wards 1 and 7, the majority of farmers obtain their vines from their own farms. In the DES model, the following label “lbl_vine_sources” was created, added in the cultivation object and action as probability distribution using data provided in
Table 9.
Sweet potato planting operations, whether in “field preparation”, “planting”, or “harvesting” activities, are highly labor-intensive. Both labor and equipment “resources” are useful for these operations.
Table 10 shows which tools and equipment were used as per upper mentioned activity.
Table 11 and
Table 12 respectively show the percentage of labor and equipment availability in each targeted ward. The labor and equipment resources are integrated into the Simul8 model as both labels, denoted as “lbl_equipment_used” for equipment and “lbl_labor” for labor and resources.
Labor resource varies based on the land size as well as on the influence of socio-cultural factors.
Table 12 revealed that Wards 1 (69.5%) and 7 (84.44%) have higher hired labor utilization. Ward 4 has shown a moderate hired labor utilization (54.64%) while Wards 2 (54.64%) and 3 (48.39%) showed lower hired labor. These hired labor utilization data are integrated in Simul8 as “labor” resource 1 (1–10%), 2 (11–20%), etc.
The data reveals that the presence of tractors (6.67%) and a higher percentage of mouldboard ploughs (26.67%) suggest a more mechanized approach, likely leading to higher productivity compared to other wards. This ward’s diverse tool usage may allow for more efficient land preparation and management, reducing labor time. In contrast, Wards 1, 2, and 4 reliance on manual tools such as hoes and mattocks indicate a more labor-intensive and time-consuming process [
38,
39]. These wards may experience lower productivity due to the higher labor requirement and slower land preparation and planting processes. For Ward 2, while predominantly using hoes and mattocks, the presence of mouldboard ploughs, scotch carts, and wheelbarrows suggests a balance between manual and mechanized tools. Based on the percentages, ten resources are allocated to “hoes_muttock” across all the wards in the Simul8 model. Additionally, two resources are allocated to “mould_board_plough” in Wards 1 and 2, respectively. The average cost of using tractor services and animal tractor services for the smallholder sector was US
$18.90 per hectare [
40].
Furthermore, it takes about 8 to 10 days for one person to clear one hectare of land, in Zimbabwe, averaging 0.1 hectare per person per day, using traditional tools such as hoes, shovels, and mattocks. This rate improves with the use of mechanized equipment. However, mechanization incurs additional costs, and there is no government subsidy for equipment, as revealed by the survey findings in
Table 13. It revealed that the majority of farmers surveyed lack the funds to hire new equipment. The farmer’s equipment sources were labeled as “lbl_equipment_sources” in the Simul8 model and applied in the “field preparation”, “cultivation” and “harvesting” activities, based on the probability distribution value as per percentage shown in each ward in
Table 13 below.
Planted sweet potatoes are often susceptible to pests and various diseases, depending on their skin varieties. The survey revealed a variety of indigenous mechanisms for combating these issues in sweet potato plantations. These mechanisms were integrated as an “Activity” into the DES model. Among the methods for combating pests and diseases, as shown in
Figure 5, are spraying pesticides to repel infestations. Farmers also use ashes to deter insects. Rat poison is used to prevent rats and similar pests from devouring the growing plants. Other preventive mechanisms include trapping, watering, rotating fields, and eradication. A label, denoted “lbl_pesticides_app_types”, was applied in the simulation model.
For harvesting, it is estimated that one vine produces between three sweet potato tubers under less favorable conditions and up to eight tubers under favorable conditions. A quantity label “lbl_quantity” was created, set as a fixed distribution of one vine (value = 1) in the cultivation activities and as a rounded uniform distribution with values ranging between three to eight sweet potato tubers per vine introduced into the harvesting activities in the DES model. The rounded uniform value is then routed out as a “batch” to the next activity in the system.
Post-harvest processes are fundamental to the model. These processes include activities such as sorting, cleaning, curing, grading, packaging, and transporting marketable sweet potatoes to the appropriate markets. Remind those sweet potatoes are packaged in a 50 kg sack in Zimbabwe. With sweet potato tuber average weight estimated at 300 g, the number of tubers per kilogram is calculated as shown in Equation (9):
Therefore, a 50 kg sack of sweet potatoes in Zimbabwe would contain approximately 167 sweet potato tubers, assuming an average tuber weight of 300 g. This number can vary depending on the actual average weight of the tubers. In the simulation model, a 50 kg sack, containing an average of 1000 vines to be cultivated, can harvest on average 6000 sweet potato tubers tons per hectare [
15].
The estimated production value and packaging per 50 kg sack for one hectare is extrapolated to the following land sizes: Ward 1 (9.51 hectares), Ward 2 (30.4 hectares), Ward 3 (18.26 hectares), Ward 4 (5.8 hectares), and Ward 7 (18.58 hectares). In the DES model, a new quantity label “lbl_50 kg_sack_packaging” was created and applied in the packaging activity. This label is set as an average distribution with a value of 167 sweet potato tubers per 50 kg sack. The average value was then routed out as a “batch (50 kg sack)” to either the market, while the remaining sweet potato tubers, labeled “lbl_quantity”, will be sent to family consumption, or the waste bin.
Furthermore, sweet potato sacks are transported either to the market or to farmers’ homes. Information on distance, speed, road conditions, and transportation costs was incorporated into the simulation model. The condition of road infrastructure crucially affects the transportation of products to markets. Survey data shows that 10% of farmers in Goromonzi reach markets in Domboshava (Showground) or Mbare using tertiary roads (A3), which are gravel and poorly maintained, especially during the rainy season. Most farmers mainly utilize footpaths and tracks to reach the family houses (often also the threshing floor) or sweet potatoes meeting place to the market, reflecting differences in access to transportation means.
Table 14 reveals that most farmers rely on pick-up trucks as mechanized means for swift market transportation. Farmers often have to coordinate product collection and engaging transporters based on market readiness and transport service availability, with costs ranging from
$1 to
$3 for a 50 kg sack, varying by distance, vehicle access and availability. Moreover, due to limited access to funds, most farmers are inclined to use animals (24.42%) and even walk (93.02%) to these destinations.
Table 14 provides a breakdown of the various transport means used by farmers in different wards to get their sweet potatoes to the markets and the data was integrated into the DES model under the “lbl_travel_mean” label. The transportation methods include bicycles, motorcycles, minibuses, pickup trucks, single-axle vans, tractors, animals, and walking. Each ward shows different preferences based on the availability and accessibility of transportation means.
Farmers in Ward 1 predominantly walk to the market, with only a small percentage using pickup trucks.
Figure 6 below shows the proximity of Ward 1 to Domboshava market, explaining the high reliance on walking. The limited number of mechanized transports suggests the need for more efficient methods to transport large quantities of sweet potatoes. In Ward 2, most farmers also walk to the market, but there is a significant use of pickup trucks and animal transport. This variety indicates access to multiple transportation options and varied-cost services. Similarly, farmers in Ward 4, due to its proximity to the Domboshava market, primarily walk to the market. Across all wards, a significant percentage of farmers rely on walking, particularly in Wards 1, 3, and 4. Conversely, pickup trucks and animals are notably used in Wards 2, 3, and 7, highlighting the need for improved supply chain efficiency based on available resources.
Constructing
Figure 6, open-source datasets were utilized to delineate administrative boundaries and map existing networks (OSM Tracks). Kobo was used to geolocalise farms across wards. GPS devices assisted in identifying the routes farmers use to transport their harvested and packed sweet potatoes to the Domboshava and Mbare markets. GPS data were then imported and overlaid with OSM tracks to verify the routes’ existence, measure the distance farmers travel from their farms to the market, and calculate the average speed and travel time, as shown in
Table 15.
Figure 7 summarizes key variables and breaks down all the key components and an approximate estimate of the time it takes for one person to plant one hectare of sweet potatoes. This information is integrated into the simulation model.
The simulation model applies various scenarios to identify ways for enhancement. Tools, equipment, and worker efficiency can reduce this planting time, leading to higher market output and better economic outcomes for farmers. This detailed information is integrated into the simulation model.