Development of a model for the evaluation of compost supply–demand dynamics: theory and case study in an area of Rabat region, Morocco

Compost Supply–Demand (CSD) dynamics is one of the important aspects to consider when assessing composting plants’ sustainability. However, as most of the focus is put on the technological aspects of feasibility, the quantitative estimation of CSD remains somewhat neglected in many of the previous experiences and research works, especially in developing countries. The purpose of this paper is to develop a model that estimates CSD based on agricultural land allocations and waste generation components. In this paper a mathematical model is developed and applied to an area of Rabat region in Morocco to estimate and analyze the dynamics of CSD. The model estimates compost potential demand and utilizes an actualization coefficient to deduce actual demand. The main component for the estimation of compost actual demand is compost usage in agriculture, which considers crop calendars, agriculture land allocations and compost application rates for each crop. The results of the application of the model to the study area showed that CSD displays considerable seasonal fluctuation based on the crops planted at each season of the year and on the different harvesting periods which partially explains the difficulties faced by previous composting experiences in the area.