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Slides to Lecture 4 Lecture 4 ECON4910 Environmental Economics Brief summery of previous lectures: Lecture 1: • Ch. 4 Welfare economics and the environment – Efficiency – Public goods – Externalities Lecture 2: • How to solve external effects by Coasian bargaining – Coase (1960) Econ 4910 – Spring 2016 – Ingrid Hjort Lecture 3 and 4: • Ch. 5 Pollution targets «How do we decide the optimal level of pollution?» • Ch. 6 Pollution instruments «How can we achieve these targets?» – Montgomery (1975): Market in licenses – Bård’s blackboard-model: Tax and double dividend CHAPTER 5 Pollution control: targets What is the efficient level of pollution? The Damage function: DDM () The Benefit function: BBM () n Where M is aggregate emission flow Mm i of all emission sources: i1 • Total damage is thought to rise at an increasing rate, with the size of the emission flow. The more emissions thus more harm on nature. Convex • Total benefits will rise at a decreasing rate as more emissions are used in production, assuming decreasing marginal productivity. Concave What is the efficient level of pollution? Evaluate the trade-off between benefits from producing more private goods to the increased damage on public goods. Stricter pollution targets will generate benefits but will also generate costs. Max social net benefit: maxNB B ( M ) D ( M ) M • Marginal damage of pollution: The harm/reduction of the public environment from one extra unit of pollution. • Marginal benefit of pollution: The benefits from using one extra unit of pollution to produce private consumption goods. Figure 5.2 Total and marginal damage and benefit functions, and the efficient level of flow pollution emissions D(M) B(M) DM() BM() Maximised net benefits Emissions, M DM'( ) * B A BM'( ) ˆ M* M Emissions, M Comment to figure 5.2 The efficient level of pollution The Nash equilibrium: Where marginal damage equal marginal benefits The trade off is optimized at the point where the marginal benefits of pollution equal the marginal damage from pollution. DMBM'( ) '( ) There exist different types of pollution problems I 1. Flow-damage pollution: the damage depend on the rate of the emission flow alone. That is, the instant rate at which they are being discharged into the environmental system. 2. Stock-damage pollution: damages depend only on the stock of pollution in the relevant environmental system at any point in time. Stock pollutants accumulate in the environment over time. Stock pollutants are persistent over time, and may be transported over space, two dimensional. Pollution flows and pollution stocks • The static flow pollution model: (noise, light, smell, smoke) These problems have no time dimension, the pollution stops when the emissions stops. Flow-damage pollution: D = D(M) (5.1a) • The stock pollution problem: Emissions (M) accumulate and create a stock (A) of a harmful substance. Stock-damage pollution: D = D(A) (5.1b) Stock pollutants can create a burden for future generations by passing on damage that persists well after the benefits received from incurring that damage have been forgotten. The distinction between flows and stocks becomes crucial for two reasons First, This distinction enables us to understand the science lying behind the pollution problem and translate this into economic models. Second, The distinction is important for policy purposes. While the damage is associated with the pollution stock, that stock is outside the direct control of policy makers. Environmental protection agencies may, however, be able to control the rate of emission flows. Even where they cannot control such flows directly, the regulator may find it more convenient to target emissions rather than stocks. Given that what we seek to achieve depends on stocks but what is controlled or regulated are typically flows, it is necessary to understand the linkage between the two. There exist different types of pollution problems II 3. Uniformly mixing: the damage depends upon the total amount of the pollutant entering the system, independent of geographical location, e.g., green house gases 4. Non-uniformly mixing: the damage is relatively sensitive to where emissions are injected into the environmental system. The concentration rate of the pollutant vary from place to place Uniformly mixing • By definition, the location of the uniformly mixing (UM) emission source is irrelevant – All that matters, as far as concentration rates at any receptor are concerned, is the total amount of those emissions. • Mixing of a pollutant refers to the extent to which physical processes cause the pollutant to be dispersed or spread out. • A pollutant is uniformly mixing if the pollutant quickly becomes dispersed to the point where its spatial distribution is uniform. – That is, the measured concentration rate of the pollutant does not vary from place to place. – This property is satisfied, for example, by most greenhouse gases. • Policy: Focus on minimizing the total pollution level, finding the cost effective allocation of responsibility. Non-uniformity • Where pollutants are not uniformly mixing, location matters. • Non-unifority is of importance as many types of pollution fall into this category. Examples: – Ozone accumulation in the lower atmosphere – Local air pollution: • particulate pollutants from diesel engines and trace metal emissions • Oxides of Nitrogen and Sulphur in urban airsheds – Some local water and ground pollutants do not uniformly mix • Complicates the policy problem: Total emissions is no longer the sole source of concern, must also consider the emissions site and its impact on concentration levels at other sites. How should emission targets from various sources be calculated? CHAPTER 6 Pollution control: instruments The target The target: the emission target should be set such that the aggregate marginal benefit from emissions equals the aggregate marginal damage MB MD The instrument The instrument: should be cost-efficient. – The cost of achieving a given reduction in emissions will be minimized if and only if the marginal costs of emission reduction are equalized for all emitters One important criteria: Cost efficiency • The use of cost-effective instruments is necessary to achieve an economically efficient allocation of resources. • Suppose a list is available of all instruments which are capable of achieving some predetermined pollution abatement target. – If one particular instrument can attain that target at lower real cost than any other can then that instrument is cost-effective. • Using a cost-effective instrument involves: – Allocating the smallest amount of resources to pollution control, conditional on a given target being achieved. – It has the minimum opportunity cost. Least-cost theorem The least cost theorem: A necessary condition to achieve abatement at least cost. The marginal cost of abatement is equalized over all polluting firms (equimarginal principle) – Abatement: Emission reduction • Focus on abatement effort: polluters that can abate at least cost. • This result is known as the least-cost theorem of pollution control. • Illustrated in next figure Example I: different marginal abatement cost Marginal abatement cost (MAC) caBB'( ) caAA'( ) a Pollution abatement Production yi f i() m i Abatement ammiˆ i i ˆ Cost of abatement ci()()() a i f i m i f i m i caii'( ) 0 Abatement: emission reduction compared to baseline Abatement cost: decreased production due to decreased inputs Example II: equal marginal abatement cost The social planner will k minc ( ai ) s . t M M * minimize total abatement cost m i i1 for all firms, given the target k mMj i1 kk ˆ f()()* mi f m i m i M ii11 Show that the least cost theorem holds, i.e., the shadowc price()()() a of femission mˆ f m reduction equals iacross i firms i i i i Least-cost theorem: conclusions • A least-cost control regime implies that the marginal cost of abatement is equalized across firms undertaking pollution control. • A least-cost solution will in general not involve equal abatement effort by all polluters. • Where abatement costs differ, cost efficiency implies that relatively low-cost abaters will undertake most of the total abatement effort, but not usually all of it. Instruments for achieving pollution abatement targets 1) Voluntary approaches 2) Command and control 3) Economic incentive based instruments 1) Voluntary approaches Bargaining solutions • In a classic paper, Ronald Coase (1960) explored the connection between property rights and the likelihood of efficient bargaining solutions to inefficient allocations of resources. – well defined and enforceable allocation of property rights. – No transactions costs. • Bargaining may lead to some abatement as every consumer is willing to pay up something to avoid emissions... ...but not enough to reach the social optimum, since the environment is a public good, causing free-rider problems Liability • The judicial system may help to bring about efficient outcomes – An implicit assumption in the discussion of bargaining, enforcement of the contract • Liability can be used to deal with environmental hazards, by incentivize the efficient level of precautionary behavior • Suppose: a general legal principle is established, making agents liable for the adverse external effects of their actions The challenges with climate change • The absence of supra-national sovereign institutions makes it difficult to legally enforce the Coasian-bargaining solutions (global climate treaties) • Compensation: How can we determine whose emissions are causing what damages • Use of liability
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