This study is a theoretical approach in solving an industry related problem in Nigeria. The study set up the following objectives to achieve its main goal of using pig to tackle some environmental challenges in our community. These are: 1) Design a mathematical model to address population growth; 2) Set carrying capacity for the pig pen; (3)Propose policies that would assist pig farmers to support environmental waste management body. Saying that the growth and development of any nation depends largely to an extent on the development of the primary industry, of which agriculture is a key player. Unlike traditional development economists such as Arthur Lewis who believed that agriculture plays a passive and supportive role, modern development economists have come to realize that the agricultural sector in particular and the rural economy in general must play an indispensable part in any overall strategy of economic progress, especially in developing countries. More significantly,majority of the world’s poor live in the rural areas and depends upon agriculture for their livelihood. Agriculture is therefore critical for poverty reduction,hydroponic bucket economic development and environmental management.

The agricultural sector continues to play a crucial role for development, especially in low-income countries where the sector is large both in terms of aggregate income and total labour force (Ehigiamusoe and Uyi, 2012 ; Agbugba and Binaebi,2018 ). Climate influences human activities on the earth’s surface including agriculture. This affects mainly agriculture and therefore lowering income of rain dependent farmers making them vulnerable. Many people across the world are vulnerable to rainfall variability due to their high dependence on the agricultural sector especially rain-fed farming .Livelihood vulnerability is determined by three main contributing factors:exposure, sensitivity and adaptive capacity. Exposure refers to the presence of property, systems, people or other elements in hazard places that are subjected to potential losses. Exposure to rainfall variability is brought about by unfavourable characteristics in rainfall onset, cessation, amount, duration or number of rainy days and within-season dry spell in a given rainfall season. Sensitivity is the degree to which people, property or a given system is affected by effects of a given risk . This is mainly determined by socio-economic characteristics of such people or system exposed to the risk. Adaptive capacity is people’s or a system’s ability to adjust to prevailing extreme events created by risk they are exposed to.Vulner ability assessment is determined by the conceptual framework chosen by a researcher and the specific risks to be measured . It has been guided by different disciplines such as disaster management (including climate change),anthropology/sociology and economics.

Vulnerability arises from exposure of hazard on existing livelihood options of communities and the subsequent response by the communities . When farming communities are exposed to a given risk, stackable planters their vulnerability will depend on subsequent responses they will engage in. The IPCC framework is based on integrated approach. It conceptualizes vulnerability as an integrated measure of the expected magnitude of adverse impacts resulting from a given level of external stressors . It considers both external(exposure) and internal (sensitivity and adaptive capacity) dimensions to vulnerability.In Africa, arable land use trends show that tillage fluctuates significantly in response to rainfall changes making rain-fed farming communities vulnerable. Rainfall variability, among other factors, is projected to lead to decrease in agricultural production in Africa up to 50% by the year 2050 . This is an indication that vulnerability to rainfall variability of households in this area is increasing as majority depend on rain-fed agriculture.About 80% of Kenya is located in arid and semi-arid land characterized by high rainfall variability in terms of onset, cessation, amount, duration and distribution. Despite agriculture being a key sector in the economic development of the country, it is mainly rain-fed and therefore vulnerable to rainfall variability.Kitui County was ranked the 12th poorest among the counties of Kenya in the 2015/2016 Kenya Integrated Household Budget Survey report . About 50% of the population lives below poverty line which is far much above the national figure of 36.1% .