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This paper is concerned with the cost efficiency in achieving the Swedish national air quality objectives under uncertainty. To realize an ecologically sustainable society, the parliament has approved a set of interim and long-term pollution reduction targets. However, there are considerable quantification uncertainties on the effectiveness of the proposed pollution reduction measures. In this paper, we develop a multivariate stochastic control framework to deal with the cost efficiency problem with multiple pollutants. Based on the cost and technological data collected by several national authorities, we explore the implications of alternative probabilistic constraints. It is found that a composite probabilistic constraint induces considerably lower abatement cost than separable probabilistic restrictions. The trend is reinforced by the presence of positive correlations between reductions in the multiple pollutants.

ABSTRACTThis paper is concerned with the theory of resilience pricing and sustainability measurement in the presence of risk for regime shift in a dynamic economy–environment system. Following Holling (Annual Review of Ecology and Systematics, vol. 4, 1973, pp. 1–23), we consider resilience as the maximal perturbation that the system can absorb without flipping into a qualitatively different state. Using a multisector growth model under uncertainty, we derive the shadow price of resilience that affects the probabilities of the system to flip in the future. We also analyze the role of resilience on sustainability with both ex-ante and ex-post welfare measures.

This paper attempts to develop a dynamic model of optimal biodiversity preservation in a stylized ecosystem. Species richness (number of species) is used as a measure of diversity and its interactions with the resource stock, consumptive extraction and preservation efforts are explored using a two-state variable optimal control model. The analysis extends to the implications of a random threshold in species richness and the relationship between ecological and economic stability conditions. Dynamic paths and equilibrium characteristics are illustrated using numerical techniques.