The invisible multipliers of joint-products

This paper proposes a hybrid input-output model to estimate the intermediate requirements embodied in the final disposal-such as reclamation and incineration-of non-marketable scraps and wastes from industries or households. The model is based on a mixed technology assumption in order to connect the monetary distribution of the ordinary goods and services with the physical distribution of the scraps and wastes as joint-products. Moreover, some demand-pulled invisible multipliers, in terms of the scraps and wastes, have been explored by performing a numerical simulation. From the invisible multipliers, we find the paradoxical phenomenon that the reduction in the amount of final disposal and the promotion of material recycling decreases the intermediate demand of the scraps and wastes for material recycling if there is a time-lag in the introduction of the appropriate recycling technology.