Simultaneous Supplies of Dirty Energy and Capacity Constrained Clean Energy: Is There a Green Paradox?

We propose a representation of individual preferences with a subsistence requirement in consumption, and examine its implications for substitutability and sustainability. Specifically, we generalize the standard constant-elasticity-of-substitution (CES) utility specification for manufactured goods and environmental services, by adding a subsistence requirement for environmental services. We find that the Hicksian elasticity of substitution strictly monotonically increases with the consumption of environmental services above the subsistence requirement, and approaches the standard CES value as consumption becomes very large. Whether the two goods are market substitutes depends on the level of income. We further show that the subsistence requirement may jeopardize the existence of an intertemporally optimal and sustainable consumption path. Our results have important implications for growth, development and environmental policy.     

Spatial discounting of ecosystem services

The impact of conservation efforts targeted at preserving ecosystem services largely depend on the welfare implications associated with spatial variations in the provision of ecosystem services. While there is ample empirical evidence of spatial discounting or decay of the valuation of ecosystem services, there are still few underpinnings based on welfare economic theory. We establish a theory of spatial discounting that closely follows the concept of time discounting pertaining to climate change, and show spatial discount rates in the consumption, ecosystem service, and willingness to pay (WTP) numeraires. We consider the role of key parameters such as pure rate of spatial preference, consumption change, ecosystem services change, population density, and elasticity of marginal utility. We find that the spatial discount rate of WTP for ecosystem services that frequently appears in the empirical literature is the difference between the ecosystem service discount rate and consumption discount rate, where the ecosystem service discount rate includes both physical distance decay and welfare effects. Finally, we use numerical simulations to illustrate how the three different spatial discount rates vary with the spatial distance from the source of ecosystem services and with consumption patterns, implying many more possible spatial variations of WTP.     

Is there a daily discount rate? Evidence from the food stamp nutrition cycle

Quasi-hyperbolic discounting predicts impatience over short-run tradeoffs. I present a direct non-laboratory test of this implication using data on the nutritional intake of food stamp recipients. Caloric intake declines by 10 to 15 percent over the food stamp month, implying a significant preference for immediate consumption. These findings constitute a rejection of the permanent income hypothesis and are extremely difficult to reconcile with exponential discounting. The data support an explanation based on time preference and reject several alternative explanations, including highly elastic intertemporal substitution. I explore implications for the optimal timing of transfer payments under alternative assumptions about preferences.     

Stepping Stones for Biological Invasion: A Bioeconomic Model of Transferable Risk

We investigate three sources of bias in valuation methods for ecosystem risk: failure to consider substitution possibilities between goods, failure to consider nonseparability of ecosystem services with market goods, and failure to consider substitution possibilities between ecosystems. The first two biases are known in the literature, and we offer insight on the size of the bias for a specific example. Our work on spatially transferable risk is novel. We develop the concept and show how it may undermine typical invasion prevention strategies. We find three key results. First, partial equilibrium estimates of welfare loss are significantly overestimated relative to general equilibrium estimates. If ecosystem services and market goods are substitutes the partial equilibrium bias is greater than if they are compliments. Second, well-intended policies do not necessarily reduce overall risk; risk reduction actions can transfer risk to another time or location, or both, which may increase total risk. Third, policies of quotas and inspections have to be extreme to improve welfare, with inspections having advantages over quotas.     

Second-Best Pollution Taxes: an Analytical Framework and Some New Results

This paper compares the second-best optimal tax on polluting consumption goods with the Pigovian tax, which would internalize marginal environmental damage at a second-best optimum. It is shown that the relationship between the optimal tax on polluting consumption and the Pigovian tax is determined by the substitutability between labour and polluting consumption or clean and polluting consumption, depending on whether a wage tax system or a commodity tax system is being considered. The key factor determining the relationship between the two taxes is gross substitutability between the two taxed goods. As long as there is gross substitutability, the optimal dirt tax exceeds the Pigovian tax. The opposite can occur if and only if the two goods are gross complements.     

Productivity growth and agricultural out-migration in the United States

In the 20th century U.S., the average annual decline in the relative farm share of employment was 3.6%. Despite this rapid reallocation of labor, a large wage gap persisted between the farm and non-farm sectors that declined only slowly over time. We develop a model of farm out-migration with three driving forces: (i) absolute farm productivity growth in conjunction with subsistence food consumption, (ii) relative farm productivity growth in conjunction with a low elasticity of substitution between farm and non-farm goods, and (iii) endogenously declining wage gaps. Quantitative features of the model accord well with the U.S. experience during this period.     

Revenue‐enhancing Trade Liberalization in a Differentiated Duopoly

Existing studies suggest that in developing countries, tax reforms that increase consumption taxes can compensate for shortfalls in revenue from a tariff reduction. However, these revenue‐enhancing tariff–tax reforms have a critical shortcoming—they generally reduce welfare under imperfect competition. This paper shows that tax reforms such as consumption tax reforms do not necessarily have to be implemented to make up for revenue shortfalls from tariff reductions under imperfect competition, because trade liberalization through tariff cuts leads to an increase in government revenue when domestic and imported goods have a high substitutability. This revenue‐enhancing effect of a tariff reduction occurs for a wider degree of product substitutability when initial tariff and consumption tax rates are high. More importantly, we show that even if initial tariff and consumption tax rates are sufficiently low, a tariff reduction still increases government revenue for a low degree of product differentiation under Bertrand competition.     

Trade and the governance of ecosystem services

We work with a basic general equilibrium model of an economy with an industrial good and a rural good. Industrial good production results in pollution that affects the provision of ecosystem services and thereby the production of the rural good. The assignment of ecosystem rights to the industrial polluters or to the rural pollutees results in differential transaction costs that affect production possibilities between the two goods. Ecosystem rights are assigned to maximize social welfare. Over time, technological change and differences in income superiority affect the choice of the assignment of rights. Opening to trade affects the choice of the assignment of ecosystem rights depending on the nature of technological change, but the relative income superiority of goods no longer affects the assignment of ecosystem rights in a small economy. Thus, among other findings, we demonstrate that the phenomena known as the environmental Kuznets curve does not hold for the protection of ecosystem services in production, or production externalities generally, because trade separates consumption from production.     

ENDOGENOUS CYCLES IN A SIMPLE MODEL WITH LAGGED EXTERNALITIES ON PRODUCTIVITY

This paper presents a simple model of endogenous cycles. In the model, working experience creates learning‐by‐doing externalities that improve labor productivity but it takes long time before the externalities come into effect. In addition, individuals have preferences with a subsistence consumption level. In the presence of the subsistence consumption requirement, a productivity increase generates the income effect that surpasses the substitution effect, and individuals choose to increase leisure time at the expense of supplying labor. The interactions between productivity changes through the lagged externalities and labor supply generate cycles endogenously. The model analysis shows that the dynamics exhibit cyclical fluctuations around a unique steady state.     

Local Manufacturing Hurt by Depreciations in a Theoretical Model Reflecting the Australian Experience

The model is motivated by data showing that the Australian production of local manufactures is hurt by depreciations and invigorated by appreciations. The paper briefly presents such evidence and then proceeds to a theoretical analysis. The model aims to capture short‐to‐medium run exchange rate effects in an economy with goods and services aggregated into four commodities: (i) imports; (ii) local manufactures; (iii) services; and (iv) rural goods (agricultural, pastoral, forestry, fishing and mining products). With the exception of rural goods, each commodity comprises consumer goods as well as inputs into the other sectors. Rural goods enter consumption only indirectly after processing by the manufacturing sector. Exports are exclusively rural goods. The model has a Keynesian flavour in that the production of local manufactures and services is not constrained by the availability of resources and of labour. Variable inputs per unit of output are assumed to be constant. There are also fixed inputs. Variable inputs are imports in the case of the import sector; rural goods and imports in the case of the local manufacturing sector; and labour in the case of the services sector. The prices of imports, local manufactures and services are set by constant mark‐up factors on variable costs. This assumption is based on a picture of imperfect competition with constant elasticity of demand at the firm level. The extreme capital intensity of rural goods production is taken into account by modelling total production of rural goods as an exogenous parameter. The price of rural goods is determined in the export market. It falls with increasing exports. The economy is not assumed to be small in its export market. The domestic consumption demand schedule is modelled as predetermined in the sense that in the time span under consideration the relationship between quantities consumed and nominal prices is not affected by the exchange rate. The nominal wage rate is assumed to be predetermined in the same sense. No specific functional form is imposed on the consumption demand schedule: the analysis is based on general assumptions, mainly non‐inferiority and gross substitutability. In view of gross substitutability, there is a competitive relationship between imports and local manufactures. Adepreciation raises the price of imports and ceteris paribus such an increase raises the consumption of manufactures. However, the analysis shows that this enhancing influence of a depreciation on manufacturing is weaker than other causal channels that work in the opposite direction. An increase in the price of imports (and exportables) raises variable costs and thereby the price of local manufactures. This leads to a decrease in the output of local manufactures. In the course of the analysis, it is first shown that a uniquely determined equilibrium exists for every exchange rate above a lower bound. Then the effects of a change in the exchange rate are investigated. In most cases the results are unambiguous. In particular this is true for the output and the price of local manufactures. Other conclusions are that a depreciation increases exports and the amount of services provided. In some cases unequivocal results can be obtained only with the help of further assumptions. This concerns the domestic price of rural goods, the balance of trade in domestic prices and import penetration.     

FISCAL POLICY AND AGGREGATE CONSUMPTION: NEW EVIDENCE FROM THE UNITED STATES

In this paper we estimate the marginal rate of substitution between aggregate per-capita consumption and per-capita government expenditure on goods and services using US quarterly data over the period 1953 to 1993. This estimate is an important input to any attempt to assess the overall effectiveness of fiscal policy since it directly affects the size of the fiscal policy multiplier. Other recent consumption studies which incorporate the effects of government expenditure have failed to establish a stable estimate of the marginal rate of substitution. We argue that this failure results from imposing the unrealistic assumption that this parameter is constant. In contrast, we allow the marginal rate of substitution to depend on both the level and composition of government spending.     

Nontraded goods,uncertainty, and equilibration in the United States' economy

This paper examines 1) the empirical significance of nontraded goods by estimating the Hicksian gross substitutability between traded goods and goods in the United States' economy at large, and 2) structural changes in the speed of the substitution. The results suggest that the substitutability is substantial, but significantly less than perfect; that the period of price equilibration has been dramatically protracted in recent years, but the ultimate magnitude of the adjustment has not changed; and that exchange rate uncertainty and general price uncertainty appear to explain the protraction, with the latter the more significant factor.     

New Goods and the Transition to a New Economy

The U.S. went through a remarkable structural transformation between 1800 and 2000. A precipitous decline in the importance of agricultural goods in the economy was matched by the rapid ascent of a plethora of new non-agricultural goods and services. A competitive model is presented here where consumption evolves along the extensive margin. This lessens the need to rely on satiation points, subsistence levels of consumption, and the like to explain agriculture’s demise. The analysis suggests that between 1800 and 2000 economic welfare grew by at least 1.5% a year, and may be as much as 10% annually, the exact number depending upon the metric preferred.The authors thank (Richard) Ming Hon Suen and two referees for comments. They are also grateful to Shouyong Shi for suggesting Figure 8. This research was supported by the NSF (award number 0136055).     

Substitution elasticities between durable and nondurable goods in the United States: New evidence from the dynamic Laurent system

This paper uses the dynamic Laurent demand system to jointly estimate the service flows from durable and nondurable goods. The parameter estimates are used to obtain the Morishima elasticity of substitution between goods for the United States from 1960:1 to 1991:4. One of the significant results of this study is that the Morishima elasticities of substitution vary over time instead of being constant. This result implies that the use of the CES functional form gives a poor approximation of the demand system for the data used in this paper. Another important result is that consumers adjust to their long-run equilibrium holding of consumption goods slowly rather than quickly.     

Consumption and fiscal policy

This paper uses the life-cycle approach to derive an equilibrium intratemporal efficiency condition which relates the marginal utility of consumption of nondurable goods and services to the marginal utility of consumption of services from durable goods. Given this condition and the assumption that marginal utilities are affected by the level of public spending, a long-run relationship between components of private consumption and public expenditure is then postulated. The application of cointegration analysis to UK data supports the existence and uniqueness of such a long-run relationship, and estimates based on the error correction approach produce results which suggest that (i) a change in public spending has different effects on components of private consumption in the short-run, and (ii) the entire burden of long-run substitution falls on nondurable consumption.     

The recent growth of the internet and changes in household-level demand for entertainment

This paper investigates whether the recent growth of the Internet complements or substitutes for consumption of existing entertainment goods. Applying a difference-in-differences approach to the Consumer Expenditure Survey, I find varying degrees of potential substitutability between Internet growth and consumer expenditures across different entertainment goods. For most goods, these negative effects appear to be sensitive to changes in specifications. In contrast, the negative effect on recorded music expenditure is statistically significant and robust to different specifications.     

Ecological discounting

Which rates should we use to discount costs and benefits of different natures at different time horizons? We answer this question by considering a representative agent consuming two goods whose availability evolves over time in a stochastic way. We extend the Ramsey rule by taking into account the degree of substitutability between the two goods and of the uncertainty surrounding the economic and environmental growths. The rate at which environmental impacts should be discounted is in general different from the one at which monetary benefits should be discounted. We provide arguments in favor of an ecological discount rate smaller than the economic discount rate. In particular, we show that, under certainty and Cobb-Douglas preferences, the difference between the economic and the ecological discount rates equals the difference between the economic and the ecological growth rates. Using data about the link between biodiversity and economic development, I estimate that the rate at which changes in biodiversity should be discounted is 1.5%, whereas changes in consumption should be discounted at 3.2%.     

Exponential discounting bias

We address intertemporal utility maximization under a general discount function that nests the exponential discounting and the quasi-hyperbolic discounting cases as particular specifications. Under the suggested framework, the representative agent adopts, at some initial date, an optimal behavior that shapes her consumption trajectory over time. This agent desires to take a constant discount rate to approach the optimization problem, but bounded rationality, under the form of a present bias, deviates the individual from the intended goal. As a result, decreasing impatience will end up dominating the agent’s behavior. The individual will not be aware of her own time inconsistency and, therefore, she will not revise her plans as time elapses, what makes the problem relatively simple to address from a computational point of view. The general discounting framework is used to approach a standard optimal growth model in discrete time. Transitional dynamics and stability properties of the corresponding dynamic setup are studied. An extension of the standard utility maximization model to the case of habit persistence is also considered.     

Transitional dynamics and the distribution of assets

Summary. We study the evolution of the distribution of assets in a discrete time, deterministic growth model with log-utility, a minimum consumption requirement, Cobb-Douglas technology, and agents differing in initial assets. We prove that the coefficient of variation in assets across agents decreases monotonically in a transition to the steady state from below, if (i) the consumption requirement is zero, or (ii) the consumption requirement is not too big and the initial capital stock is large enough. We also show how a positive consumption requirement or a small elasticity of substitution between capital and labor can generate non-monotonic paths for inequality.JEL Classification Numbers: D31, E21, O41.We would like to thank S. Chatterjee, M. Huggett, T. Keister, P. Krusell, M. Santos, S. Williamson, and an anonymous referee, for their valuable comments and suggestions. All remaining errors are ours. Urrutia aknowledges the support of Universidad Carlos III de Madrid, to which he was affiliated during early phases of this project.     

Identifying cost-effective hotspots for restoring natural capital and enhancing landscape multifunctionality

Much effort is expended toward planning for conservation, natural resource management and sustainable land use in agricultural landscapes. Although often not explicitly stated, the aims of these efforts are often to restore natural capital for the provision of ecosystem services and stimulate multifunctionality in landscapes. However, the scarcity of resources for, and the potential economic impact of, ameliorative actions that restore natural capital necessitates the identification of cost-effective geographic priorities, or hotspots, which provide multiple ecosystem goods and services. This requires the integrated spatial modelling of multiple environmental and economic processes accompanied by clear goals and performance indicators. Identification of hotspots provides guidance for highly targeted land use change that cost-effectively adds to the stocks of natural capital in a landscape. Additionally, the multifunctionality of the landscape can be increased through the provision of multiple ecosystem goods and services. This paper begins by examining data requirements for identifying geographic hotspots for land use change. This study integrates traditionally disparate landscape-scale biophysical and economic data and models. The elements of natural capital considered here are species and ecosystems, soil and water resources, and the atmosphere. It is demonstrated that locating ameliorative actions towards hotspots will be more cost-effective at restoring natural capital and stimulating landscape multifunctionality than a random targeting approach. We calculate these efficiencies using a small set of indicators for assessing aspects of multifunctionality. The focus of this study is the agricultural landscapes of the Lower Murray region of south-eastern Australia.