Sustainability and Optimality in Economic Development: Theoretical Insights and Policy Prospects

This paper takes sustainability to be a matter of intergenerational welfare equality and examines whether an optimal development path can also be sustainable. It argues that the general “zero-net-aggregate-investment” condition for an optimal development path to be sustainable in the sense of the maximin criterion of intergenerational justice is too demanding to be practical, especially in the context of developing countries. The maximin criterion of sustainability may be more appealing to the rich advanced industrial countries, but is too costly and ethically unreasonable for developing nations as it would act as an intergenerational “poverty equalizer”. The paper suggests that a compromise development policy that follows the optimal growth approach but adopts certain measures to mitigate the intergenerational and intragenerational welfare inequalities may better serve these countries. Some of the principal elements of such a policy are highlighted.Sustainability, Intergenerational Equity, Optimality, Discounting, Development Policy

Pollution Abatement Investment When Firms Lobby Against Environmental Regulation

In this paper, we study a firm’s optimal lobby behavior and its effect on investment in pollution abatement capital. We develop a dynamic framework where a representative firm can invest in both abatement and lobby capital in response to a possible future increase in pollution tax. We show that when the firm lobbies against the scale of the tax increase at a predetermined date, it should act like an occasional lobbyer by investing a lump-sum (optimal) amount in the lobby capital only at that date. But, to delay the new tax, it should act like a habitual lobbyer by investing continuously and at increasing rates over an optimal time period. We show that lobby expenditure crowds out investment in abatement capital and that this effect is stronger the more efficient is the lobbying activity. Further, we show that while uncertainty about the magnitude of the tax reduces the firm’s incentive to lobby, uncertainty about the timing of the new tax increases it.Pollution Abatement, Environmental Regulation

Sustainability and Hamiltonian value

The relationships among the Hamiltonian, NNP, and the level of sustainable consumption/utility have been widely misunderstood. This paper dispels the misconceptions and provides further new insight into these relationships. We show generally that for autonomous dynamic optimizing economies, a necessary and sufficient condition for sustainability is the stationarity of the current-value Hamiltonian. For autonomous cases, this stationarity condition generalizes Dixit et al.'s (1980) "zero-net-aggregate-investment" rule of sustainability, which in turn generalizes Solow-Hartwick's sustainability rule. For non-autonomous cases, however, except when the net "pure time effect" is constant over time, the stationarity condition is unfulfilled. In non-autonomous cases, Weitzman's (1976) "stationary equivalence" result does not hold, and the current-value Hamiltonian will underestimate (overestimate) the true welfare level when the net "pure time effect" is positive (negative). However, for the special non-autonomous case of a time-dependent utility discount rate we obtain a condition on the discount rate function that upholds the results obtained for autonomous cases. In turn, this condition extends Michel's (1982) transversality condition for the infinite-horizon autonomous control problems to problems with time dependent discount rates

Socioeconomic Factors and Water Quality in California

We investigate the relationships between water quality and socioeconomic factors in California at the county level for the years 1993 to 2006 using 24 water quality indicators coming from seven different types of water bodies. We estimate these relationships using three classes of models: the traditional per capita income-pollution level - Environmental Kuznets Curve (EKC) - specifications, a more inclusive model containing main socioeconomic variables such as agricultural intensity, land use, ethnic composition, population density and educational attainment, and a model that includes the socioeconomic variables while accounting for spatial correlations too. For most water quality indicators, we do not find support for EKC specifications. For pollutants like phosphorus and total suspended solids, the level of agricultural activity is a significant determinant of water quality in California, but for other surface water pollutants commonly considered agricultural pollutants, such as ammonia and nitrate, the level of agricultural activity is not statistically significant. We find that education, ethnic composition, age structure, land use, population density, and water area are all significantly correlated with various indicators of water quality.Water Quality Indicators, Socioeconomic Variables, EKC, Agriculture, Industry

Non-pecuniary Work Incentive and Labor Supply

Recognizing that people value employment not only to earn income to satisfy their consumption needs, but also as a means to gain socio-psychological (nonpecuniary) benefits, we show that once nonpecuniary work incentives are incorporated into standard labor supply theory, (i) the wage rate under-estimates (over-estimates) the true value of nonwork/leisure time when work has nonpecuniary benefits (costs), (ii) nonpecuniary benefits can be a substitute for monetary wages as work incentives, (iii) at very low wage rates, work can become a net source of utility, and (iii) the shape of labor supply curve differs from standard theory. We also identify conditions under which a greater nonpecuniary work incentive generates a larger individual labor supply, and examine the effects of non-wage income on labor supply both for paid and voluntary work.Nonpecuniary incentives, Labor supply, Non-wage income, Voluntary work

Non-pecuniary Value of Employment and Individual Labor Supply

Recognizing that people value employment not only to earn income to satisfy their consumption needs but also as a means of community involvement that provides socio-psychological (non-pecuniary) benefits, we show that once the non-pecuniary benefits of employment are incorporated in the standard individual’s utility function, then at very low income levels employment can be a source of utility, inducing individuals to supply labor to the extent possible. We also show the conditions under which a greater non-pecuniary effect of employment generates a larger individual labor supply.Non-pecuniary effects, Employment value, Labor supply

A PORTFOLIO OF NUTRIENTS: SOIL AND SUSTAINABILITY

This paper develops a basic dynamic economic model that can be used for theoretical and numerical analysis of optimal soil management practices. A dynamic biophysical/economic optimal control model is developed in a multi-disciplinary framework, treating soil as a multi-pool portfolio of a particular limiting mobile nutrient (e.g. nitrogen). This specification allows for fertilizer to directly enter the active pool, while tillage initially affects the decadal pool, reflecting the realities of agricultural production. We examine the properties of the steady-state and the time paths of the optimal solutions. In addition, alternative sustainability criteria of farm-level agricultural practices are presented, and the optimal solution of the problem is evaluated to determine if it meets any or all of the definitions of sustainability.Farm Management,

When is it Optimal to Exhaust a Resource in a Finite Time?

Exhaustion of a natural resource stock may be a rational choice for an individual and/or a community, even if a sustainable use for the resource is feasible and the resource users are farsighted and well informed on the ecosystem. We identify conditions under which it is optimal not to sustain resource use. These conditions concern the discounting of future benefits, instability of social system or ecosystem, nonconvexity of natural growth function, socio-psychological value of employment, and strategic interaction among resource users. The identification of these conditions can help design policies to prevent unsustainable patterns of resource use.Renewable resource management, Sustainability, Finite-time exhaustion, Optimal path, Policy implications

Non-pecuniary Value of Employment and Natural Resource Extinction

We assume that people value employment not only to earn income to satisfy their consumption needs but also as a means of community/social involvement that provides socio-psychological (non-pecuniary) benefits. We show that the latter incentive can encourage full employment harvesting resources and explain why poor resource-based communities may exhaust a natural resource in a finite time even if there is a sustainable path of resource consumption available. We show that communities could sustain their natural resources by using outside-the-community employment and economic diversification, but, to be effective, such policies must ensure that the outside wage rate and the initial capital stock are above certain minimum levels, which will be higher the longer these policies are delayed.Non-pecuniary effects, Employment value, Resource extinction, Sustainability