Environmental Management and Sustainable Development: EMS, EIA and LCA, Risk, Law and Policy, Energy and Sustainability

Section 9 of the GATE Environmental Science and Engineering (ES) paper, and its last. Its four sub-headings run from the tools of management to the reasons for them. Environmental management: environmental management systems and the ISO 14000 series, environmental auditing, environmental impact assessment, life cycle assessment, human health risk assessment, and occupational health and hygiene with its physical and chemical hazards. Environmental law and policy: objectives, the polluter pays and precautionary principles, the Water and Air Acts with their amendments, the Environment (Protection) Act, 1986, the National Green Tribunal Act, 2010, the National Environment Policy, and the principles of international law and the international treaties. Energy and environment: resources and reserves, renewable and non-renewable sources, and the energy–environment nexus. Sustainable development: its definition and concepts, the Sustainable Development Goals, the hurdles to sustainability, environment and economics, carbon pricing and emission trading, and ESG frameworks.

1. Environmental management systems, ISO 14000, auditing, EIA and life cycle assessment

An environmental management system (EMS) is the part of an organisation’s management that sets its environmental policy and delivers it, built on the Plan–Do–Check–Act cycle: plan (policy, identification of environmental aspects and legal requirements, objectives), do (resources, training, operational control, emergency preparedness), check (monitoring, internal audit, evaluation of compliance) and act (management review and continual improvement). ISO 14001 specifies the requirements of an EMS against which an organisation can be certified; it requires a commitment to compliance, to the prevention of pollution and to continual improvement, but sets no performance levels of its own. The wider ISO 14000 series supplies the tools: ISO 14004 (guidance on implementing an EMS), ISO 14031 (environmental performance evaluation), the ISO 14020 series (environmental labels and declarations), ISO 14040 and 14044 (life cycle assessment) and ISO 14064 (greenhouse-gas accounting), with auditing guided by ISO 19011. An environmental audit is a systematic, documented and objective check — of compliance with law and permits, of the management system against its standard, or of the use of energy, water and materials and the generation of waste — carried out periodically by internal or external auditors.

Environmental impact assessment (EIA) predicts and evaluates the effects of a proposed project before it is approved, so that alternatives and mitigation can be built in. In India it is governed by the EIA Notification, 2006 under the Environment (Protection) Act: projects are Category A (appraised at the central level by an Expert Appraisal Committee) or Category B (appraised by the state-level authority), and the process has four stages — screening, scoping (terms of reference), public consultation (a public hearing and written responses) and appraisal, leading to the grant or refusal of environmental clearance and an environmental management plan with monitoring. Impact identification methods include checklists, matrices such as the Leopold matrix (project actions against environmental characteristics, each cell rated for magnitude and importance), networks that trace secondary impacts, and overlays of maps. The Battelle Environmental Evaluation System scores the environment with parameter importance units (PIU, 1000 in all) and an environmental quality index (EQ, 0 to 1) for each parameter, giving environmental impact units EIU = Σ PIU × EQ, compared with and without the project. Life cycle assessment (LCA), standardised in ISO 14040/14044, adds up a product’s environmental burdens over its whole life — raw materials, manufacture, use and end of life — for a defined functional unit, in four phases: goal and scope, inventory analysis (inputs and emissions), impact assessment (emissions multiplied by characterisation factors into categories such as global warming in CO₂-eq or acidification in SO₂-eq) and interpretation.

⚠️ ISO 14001 certifies a system, not a performance
Two plants with very different emissions can both hold ISO 14001, because the standard certifies that a management system exists, works and improves — not that emissions are below any figure. Performance limits come from law and permits; the EMS is how an organisation meets them and keeps improving.

2. Human health risk assessment, and occupational health and hygiene

Human health risk assessment has four steps. Hazard identification asks whether a substance can cause harm, from toxicological and epidemiological evidence. Dose–response assessment quantifies it: for non-carcinogens a threshold below which no adverse effect is expected, expressed as a reference dose RfD (mg/kg·d); for carcinogens, usually assumed to have no threshold, a slope factor SF ((mg/kg·d)⁻¹), the upper-bound lifetime risk per unit dose. Exposure assessment estimates the dose, as the chronic daily intake CDI = (C × IR × EF × ED)/(BW × AT), with C the concentration, IR the intake rate, EF and ED the exposure frequency and duration, BW the body weight and AT the averaging time (a lifetime, for carcinogens). Risk characterisation combines them: the hazard quotient HQ = CDI/RfD, with HQ > 1 a concern and a hazard index HI = ΣHQ for several substances; and the lifetime cancer risk = CDI × SF, usually compared with a target range of about 10⁻⁶ to 10⁻⁴.

Occupational health and hygiene protects workers through the anticipation, recognition, evaluation and control of workplace hazards. Physical hazards are noise, vibration, heat and cold, ionising and non-ionising radiation, poor illumination and pressure; chemical hazards are dusts (silica causing silicosis, asbestos causing asbestosis and mesothelioma, coal dust), fumes, mists, vapours and gases, entering by inhalation, skin contact or ingestion; and there are biological, ergonomic and psychosocial hazards too. Airborne exposure is judged against threshold limit values: the TLV–TWA, an 8-hour time-weighted average to which nearly all workers can be exposed day after day; the TLV–STEL, a 15-minute short-term limit; and the TLV–C, a ceiling never to be exceeded. The time-weighted average is TWA = ΣC_it_i/8, and for a mixture of substances with similar effects the exposure is acceptable only if ΣC_i/TLV_i ≤ 1. Noise exposure is combined the same way as a dose, D = ΣC_i/T_i, the time spent at each level over the time permitted at it. Control follows the hierarchy of controls: elimination, substitution, engineering controls (enclosure, ventilation, isolation), administrative controls (rotation, training, limiting exposure time), and personal protective equipment last.

⚠️ Averaging time for carcinogens is a lifetime
Drinking 2 L/d of water with 0.001 mg/L of a carcinogen for 30 years, by a 70 kg adult, gives CDI = 0.001 × 2 × 30/(70 × 70) = 1.22 × 10⁻⁵ mg/kg·d — the 30 years of exposure spread over a 70-year lifetime. With SF = 1.5 the risk is 1.84 × 10⁻⁵, about 18 in a million. Averaging over the 30 years of exposure alone would overstate it by 70/30.

3. Environmental law and policy in India, and international law and treaties

Environmental law aims to prevent and control pollution, conserve resources, allocate responsibility for harm and give the public a remedy. Two principles run through it. The polluter pays principle puts the cost of preventing and remedying pollution on whoever causes it, so that the price of a product reflects its environmental cost. The precautionary principle says that where there is a threat of serious or irreversible damage, lack of full scientific certainty is not a reason to postpone cost-effective measures to prevent it — shifting the burden of proof towards the developer. The Supreme Court of India held both to be part of the law of the land in Vellore Citizens’ Welfare Forum v. Union of India (1996), and both appear, with sustainable development, in the National Green Tribunal Act.

The Water (Prevention and Control of Pollution) Act, 1974 was India’s first major pollution law; it created the Central and State Pollution Control Boards, requires the consent of the State Board to establish or operate any plant that discharges effluent, and was amended in 1978 and 1988 — the 1988 amendment giving the Boards power to direct the closure of an industry or the stoppage of its water or electricity supply. The Air (Prevention and Control of Pollution) Act, 1981 extended the same consent-based regime to air, with air pollution control areas; its 1987 amendment brought noise within the definition of an air pollutant and gave the Boards similar powers of closure. The Environment (Protection) Act, 1986, passed after the Bhopal gas disaster of 1984, is umbrella legislation: it empowers the Central Government to take all measures it considers necessary to protect and improve the environment, to set standards, to regulate the location of industries and the handling of hazardous substances, and to issue directions, and nearly all the waste rules, the EIA Notification and the noise rules are made under it. The National Green Tribunal Act, 2010 set up a specialised tribunal for the effective and expeditious disposal of civil cases raising a substantial question of environment under the laws listed in its schedule — among them the Water and Air Acts, the Environment (Protection) Act and the Biological Diversity Act — and directs it to apply the principles of sustainable development, precaution and polluter pays. The National Environment Policy, 2006 set out the objectives of conservation, intra- and inter-generational equity, integration of environment into development, efficiency in resource use, good governance and enhanced resources for conservation.

International environmental law rests on a few principles: the sovereign right of states over their resources together with the responsibility not to cause damage beyond their borders (Stockholm Principle 21, restated as Rio Principle 2); prevention; precaution (Rio Principle 15); polluter pays (Rio Principle 16); prior environmental impact assessment (Rio Principle 17); common but differentiated responsibilities; intergenerational equity; and public participation. The treaties give them effect.

Some international environmental agreements
AgreementYearSubject
Ramsar Convention1971Wetlands of international importance
Stockholm Conference (UN Conference on the Human Environment)1972First global environmental conference; led to UNEP
CITES1973International trade in endangered species
Montreal Protocol1987Ozone-depleting substances
Basel Convention1989Transboundary movement of hazardous wastes
UNFCCC and the Convention on Biological Diversity1992Climate change; biodiversity (Rio Earth Summit)
Kyoto Protocol1997Binding emission targets for developed countries
Stockholm Convention2001Persistent organic pollutants
Minamata Convention2013Mercury
Paris Agreement2015Holding warming well below 2 °C, pursuing 1.5 °C, through nationally determined contributions

4. Energy and environment: resources and reserves, renewable and non-renewable sources, and the nexus

A resource is the total quantity of a fuel or mineral that exists, discovered or not; a reserve is the part that is known and economically recoverable with present technology. Reserves therefore grow with exploration, better technology and higher prices even as the resource is consumed, and the reserves-to-production ratio is a snapshot of years remaining at current rates, not a forecast. Non-renewable sources — coal, oil, natural gas and uranium — are stocks formed over geological time; renewable sources — solar, wind, hydro, biomass, geothermal and ocean energy — are flows replenished continuously, though each has limits of land, water, materials or site. The energy–environment nexus is the web of links between energy and the rest of the environment: fossil combustion is the largest source of CO₂, SO₂, NOₓ and particulates; thermal and nuclear power need large volumes of cooling water, and pumping and treating water need energy (the water–energy–food nexus); hydropower floods land and alters rivers; mining degrades land; and even renewables raise questions of land use, materials and end-of-life waste. A wind turbine illustrates the physics of a renewable flow: the power in the wind through a rotor of swept area A is ½ρAv³, and a turbine captures a fraction C_p of it, which cannot exceed the Betz limit of 16/27 ≈ 0.593. Because output varies with the wind, the capacity factor — the energy actually generated in a year divided by rated power × 8760 h — is the honest measure of what an installation delivers.

⚠️ Rated capacity is not generation
A 2 MW turbine that generates 5256 MWh in a year has a capacity factor of 5256/(2 × 8760) = 0.30. Comparing sources by installed megawatts without their capacity factors overstates variable renewables against plants that run most of the time.

5. Sustainable development: concepts, the SDGs, hurdles, economics, carbon pricing, emission trading and ESG

The Brundtland Commission’s report Our Common Future (1987) defined sustainable development as development that meets the needs of the present without compromising the ability of future generations to meet their own needs. Its concepts are the three pillars — environmental, social and economic — that must be balanced; inter- and intra-generational equity; carrying capacity; and the distinction between weak sustainability, in which natural capital may be replaced by manufactured capital so long as the total is maintained, and strong sustainability, in which critical natural capital must be maintained in its own right. The Sustainable Development Goals, adopted by the United Nations in 2015 as the 2030 Agenda, are 17 goals with 169 targets, spanning poverty, hunger, health, education, gender equality, water and sanitation, energy, work and growth, industry and infrastructure, inequality, cities, consumption and production, climate, life below water, life on land, peace and institutions, and partnerships. The hurdles are poverty and inequality, rising population and consumption, short-term economic and political horizons, prices that omit environmental costs, lack of finance and technology, weak institutions and enforcement, and the need for global cooperation on shared resources.

Environment and economics meet in the idea of an externality: a cost (pollution) or benefit borne by someone outside the transaction, so that the market over-produces the polluting good. Remedies are regulation (standards), a Pigouvian tax equal to the marginal external damage, and tradable rights. Environmental goods are valued by revealed-preference methods (travel cost, hedonic pricing) and stated-preference methods (contingent valuation), and future costs and benefits are brought to the present by discounting, PV = FV/(1 + r)ⁿ — which makes the choice of discount rate decisive for long-lived problems such as climate change. Carbon pricing puts a price on emissions either directly, as a carbon tax that fixes the price and lets the quantity adjust, or through emission trading (cap and trade), which fixes the total quantity by issuing a limited number of allowances and lets their price be set by trading. Trading achieves the cap at least total cost, because firms that can abate cheaply do more of it and sell their surplus allowances to those whose abatement is dear, until everyone’s marginal abatement cost equals the allowance price. ESG (environmental, social and governance) frameworks ask companies to measure and disclose their environmental impacts (emissions, energy, water, waste), social performance (labour, safety, community) and governance (board structure, ethics, transparency), so that investors and regulators can compare them; international frameworks such as the GRI standards and climate-related disclosure standards are used alongside national requirements, which in India take the form of SEBI’s Business Responsibility and Sustainability Report for the largest listed companies.

🎯 Why trading beats a uniform cut
Two firms must together cut 100 t. Firm A abates at 20 per tonne and firm B at 50. A uniform 50 t each costs 50 × 20 + 50 × 50 = 3500; with trading, A cuts all 100 t for 2000 and sells B its spare allowances, saving 1500 between them. The environmental outcome — 100 t — is identical; only the cost differs.

Key takeaways

  • An EMS runs on Plan–Do–Check–Act; ISO 14001 certifies the system, not a performance level; the ISO 14000 series adds performance evaluation, labels, LCA (14040/14044) and GHG accounting; audits check compliance, systems and resource use.
  • EIA (Notification 2006): screening, scoping, public consultation, appraisal; Categories A and B; Leopold matrix and Battelle EIU = Σ PIU × EQ. LCA: goal and scope, inventory, impact assessment, interpretation.
  • CDI = C·IR·EF·ED/(BW·AT); HQ = CDI/RfD; cancer risk = CDI × SF with AT a lifetime. TWA = ΣC_it_i/8; a mixture is acceptable if ΣC_i/TLV_i ≤ 1; noise dose ΣC_i/T_i; controls from elimination down to PPE.
  • Water Act 1974 (amended 1978, 1988), Air Act 1981 (1987 added noise), EP Act 1986 (umbrella, after Bhopal), NGT Act 2010, NEP 2006; polluter pays and precaution upheld in Vellore (1996); Rio Principles 15–17 are precaution, polluter pays and EIA.
  • Reserves are the economic part of resources; wind power ½ρAv³C_p with C_p ≤ 16/27; capacity factor = energy/(rating × 8760). Brundtland (1987), 17 SDGs and 169 targets (2015); a carbon tax fixes the price, cap and trade fixes the quantity at least cost.

Practice questions (22)

Attempt each one before opening the answer. Every explanation names the tempting wrong option as well as the right one, because that is where marks are lost.

  1. ISO 14001 specifies:

    1. the requirements of an environmental management system against which an organisation can be certified
    2. numerical emission limits for industries
    3. the method of life cycle assessment
    4. the format of an environmental impact statement
    Show answer

    Answer: A — the requirements of an environmental management system against which an organisation can be certified

    ISO 14001 is the certifiable EMS standard, built on Plan–Do–Check–Act and committed to compliance, pollution prevention and continual improvement. It sets no emission limits (those come from law), LCA is ISO 14040/14044, and EIA formats are set by national regulation.
  2. Which of the following are stages of the environmental clearance process under India’s EIA Notification, 2006?

    1. Screening
    2. Scoping
    3. Public consultation
    4. Life cycle inventory analysis
    Show answer

    Answer: A — Screening; B — Scoping; C — Public consultation

    The four stages are screening, scoping, public consultation and appraisal. Inventory analysis is the second phase of a life cycle assessment (ISO 14040), a different tool that looks at a product over its life rather than a project at its site.
  3. In a Battelle evaluation, three parameters carry 200, 300 and 500 parameter importance units and, with the project, have environmental quality indices of 0.6, 0.8 and 0.5. What are the total environmental impact units?

    Numerical answer — type the value.

    Show answer

    Answer: 610

    EIU = Σ PIU × EQ = 200 × 0.6 + 300 × 0.8 + 500 × 0.5 = 120 + 240 + 250 = 610, out of a possible 1000. Comparing it with the EIU without the project gives the net impact; averaging the three EQ values (0.63) ignores their importance weights.
  4. A life cycle inventory records 2 kg SO₂, 3 kg NOₓ and 1 kg NH₃ per functional unit. With acidification characterisation factors of 1, 0.7 and 1.88 kg SO₂-eq per kg respectively, what is the acidification potential, in kg SO₂-eq? Give the answer to two decimal places.

    Numerical answer — type the value.

    Show answer

    Answer: 5.98

    AP = Σ mass × factor = 2 × 1 + 3 × 0.7 + 1 × 1.88 = 2 + 2.1 + 1.88 = 5.98 kg SO₂-eq. This is the impact-assessment phase: the inventory is multiplied by characterisation factors to put different substances on one scale.
  5. In life cycle assessment, the functional unit is:

    1. the quantified service a product delivers, to which all inputs and emissions are referred
    2. the factory where the product is made
    3. the largest single emission in the inventory
    4. the unit in which global warming is reported
    Show answer

    Answer: A — the quantified service a product delivers, to which all inputs and emissions are referred

    The functional unit — for example, packaging 1000 L of milk, or lighting a room at a given level for 10 000 hours — makes alternatives comparable: a glass bottle and a carton are compared per litre delivered, not per container. It is fixed in the goal-and-scope phase.
  6. An adult of 70 kg drinks 2 L/d of water containing 0.02 mg/L of a non-carcinogenic metal whose reference dose is 3 × 10⁻⁴ mg/(kg·d). Taking continuous exposure, what is the hazard quotient? Give the answer to two decimal places.

    Numerical answer — type the value.

    Show answer

    Answer: 1.9

    CDI = C × IR/BW = 0.02 × 2/70 = 5.71 × 10⁻⁴ mg/(kg·d). HQ = CDI/RfD = 5.71 × 10⁻⁴/3 × 10⁻⁴ = 1.90, above 1, so adverse effects cannot be ruled out. Multiplying by the RfD instead of dividing gives a meaningless number of order 10⁻⁷.
  7. A 70 kg adult drinks 2 L/d of water containing 0.001 mg/L of a carcinogen (slope factor 1.5 per mg/(kg·d)) for 30 years. Averaging over a 70-year lifetime, what is the excess lifetime cancer risk, expressed as cases per million? Give the answer to one decimal place.

    Numerical answer — type the value.

    Show answer

    Answer: 18.4

    CDI = C × IR × ED/(BW × AT) = 0.001 × 2 × 30/(70 × 70) = 1.224 × 10⁻⁵ mg/(kg·d). Risk = CDI × SF = 1.224 × 10⁻⁵ × 1.5 = 1.837 × 10⁻⁵, i.e. 18.4 per million. Averaging over the 30 years of exposure instead of the lifetime would give 42.9 per million.
  8. Which of the following are steps of a human health risk assessment?

    1. Hazard identification
    2. Dose–response assessment
    3. Exposure assessment
    4. Public hearing
    Show answer

    Answer: A — Hazard identification; B — Dose–response assessment; C — Exposure assessment

    The four steps are hazard identification, dose–response assessment, exposure assessment and risk characterisation. A public hearing belongs to the EIA process, not to the scientific risk assessment.
  9. A worker is exposed to a solvent vapour at 80 ppm for 4 hours, 40 ppm for 2 hours and none for the remaining 2 hours of an 8-hour shift. What is the 8-hour time-weighted average exposure, in ppm?

    Numerical answer — type the value.

    Show answer

    Answer: 50

    TWA = ΣC_it_i/8 = (80 × 4 + 40 × 2 + 0 × 2)/8 = 400/8 = 50 ppm. Dividing by the 6 hours of actual exposure (66.7 ppm) is wrong: the TLV–TWA is defined over the 8-hour day.
  10. Workshop air contains three solvents with similar effects at 50, 20 and 10 ppm; their TLVs are 100, 50 and 25 ppm. What is the value of the mixture index ΣC_i/TLV_i? Give the answer to one decimal place.

    Numerical answer — type the value.

    Show answer

    Answer: 1.3

    ΣC_i/TLV_i = 50/100 + 20/50 + 10/25 = 0.5 + 0.4 + 0.4 = 1.3. It exceeds 1, so the mixture exceeds its limit even though each solvent alone is below its own TLV — the reason the additive rule exists.
  11. A worker spends 4 hours at 90 dB(A), for which the permitted time is 8 hours, and 2 hours at 95 dB(A), for which it is 4 hours. What is the daily noise dose, as a fraction of the permitted dose?

    Numerical answer — type the value.

    Show answer

    Answer: 1

    D = ΣC_i/T_i = 4/8 + 2/4 = 0.5 + 0.5 = 1.0 — exactly the permitted dose, so any further noisy work that day would exceed it. Adding the hours (6) against 8 ignores that the louder level uses up the allowance twice as fast.
  12. In the hierarchy of controls for workplace hazards, the least preferred measure is:

    1. personal protective equipment
    2. substitution with a less hazardous material
    3. local exhaust ventilation
    4. elimination of the hazard
    Show answer

    Answer: A — personal protective equipment

    The order is elimination, substitution, engineering controls such as ventilation and enclosure, administrative controls, and PPE last — PPE protects only the wearer, only when worn correctly, and does nothing about the hazard itself.
  13. The amendment that brought noise within the definition of an air pollutant in the Air (Prevention and Control of Pollution) Act was made in:

    1. 1987
    2. 1981
    3. 1974
    4. 2010
    Show answer

    Answer: A — 1987

    The Air Act was enacted in 1981 and amended in 1987 to include noise as an air pollutant. 1974 is the Water Act and 2010 the National Green Tribunal Act.
  14. Which of the following statements about environmental law are correct?

    1. The Environment (Protection) Act, 1986 is umbrella legislation under which rules such as the EIA Notification are made
    2. The National Green Tribunal Act, 2010 directs the Tribunal to apply the precautionary and polluter pays principles
    3. Principle 15 of the Rio Declaration states the precautionary approach
    4. The polluter pays principle places the cost of pollution on the public exchequer
    Show answer

    Answer: A — The Environment (Protection) Act, 1986 is umbrella legislation under which rules such as the EIA Notification are made; B — The National Green Tribunal Act, 2010 directs the Tribunal to apply the precautionary and polluter pays principles; C — Principle 15 of the Rio Declaration states the precautionary approach

    (a), (b) and (c) are correct. (d) is false: the principle places the cost of preventing and remedying pollution on the polluter, precisely so that the public does not bear it.
  15. The international convention that controls the transboundary movement of hazardous wastes and their disposal is the:

    1. Basel Convention
    2. Ramsar Convention
    3. Minamata Convention
    4. Vienna Convention
    Show answer

    Answer: A — Basel Convention

    The Basel Convention (1989) governs transboundary movements of hazardous wastes. Ramsar (1971) is on wetlands, Minamata (2013) on mercury, and the Vienna Convention (1985) is the framework for protecting the ozone layer, under which the Montreal Protocol sits.
  16. A wind turbine has a rotor diameter of 80 m and a power coefficient of 0.4. In a 10 m/s wind with air density 1.2 kg/m³, what power does it produce, in MW? Give the answer to two decimal places.

    Numerical answer — type the value.

    Show answer

    Answer: 1.21

    A = π × 80²/4 = 5027 m². P = ½ρAv³C_p = 0.5 × 1.2 × 5027 × 1000 × 0.4 = 1.206 × 10⁶ W = 1.21 MW. The cube of the wind speed is what makes siting decisive: at 8 m/s the same machine gives only 0.62 MW.
  17. A 2 MW wind turbine generates 5256 MWh in a year. What is its capacity factor? Give the answer to two decimal places.

    Numerical answer — type the value.

    Show answer

    Answer: 0.3

    CF = energy generated/(rated power × 8760 h) = 5256/(2 × 8760) = 5256/17 520 = 0.30. Its average output is therefore 0.6 MW, not the 2 MW on its nameplate.
  18. The fraction of the kinetic energy flux of the wind that an ideal turbine can extract cannot exceed:

    1. 16/27, about 0.59 (the Betz limit)
    2. 1, if the rotor is large enough
    3. 0.5
    4. 8/27, about 0.30
    Show answer

    Answer: A — 16/27, about 0.59 (the Betz limit)

    Extracting all the energy would stop the air at the rotor and no more could flow through, so there is an optimum slowing — to one-third of the upstream speed in the wake — at which C_p = 16/27 ≈ 0.593. Real turbines reach roughly 0.4–0.5.
  19. Environmental damage costing 100 crore rupees is expected 10 years from now. At a discount rate of 5% a year, what is its present value, in crore rupees? Give the answer to two decimal places.

    Numerical answer — type the value.

    Show answer

    Answer: 61.39

    PV = FV/(1 + r)ⁿ = 100/1.05¹⁰ = 100/1.6289 = 61.39 crore. At 2% it would be 82.03 crore: the lower the discount rate, the more weight future damage carries, which is why the rate chosen dominates climate economics.
  20. Two firms must together reduce emissions by 100 t. Firm A can abate at a constant 20 per tonne and firm B at 50 per tonne. By how much does emission trading lower the total abatement cost compared with requiring each firm to cut 50 t?

    Numerical answer — type the value.

    Show answer

    Answer: 1500

    Uniform cuts cost 50 × 20 + 50 × 50 = 1000 + 2500 = 3500. With trading, the cheaper abater A makes all 100 t of cuts for 100 × 20 = 2000 and sells its surplus allowances to B, so the total falls by 3500 − 2000 = 1500. The 100 t reduction is the same either way; trading only relocates it to where it is cheapest.
  21. A carbon tax of 15 per tonne applies to a firm’s first 40 000 t of CO₂ and 20 per tonne to the next 60 000 t. What is its total tax bill, in millions?

    Numerical answer — type the value.

    Show answer

    Answer: 1.8

    Tax = 40 000 × 15 + 60 000 × 20 = 600 000 + 1 200 000 = 1 800 000 = 1.8 million. A tax fixes the price per tonne and leaves the quantity to the firm; a cap would instead fix the quantity and let the price float.
  22. Which of the following statements about sustainable development are correct?

    1. The Brundtland report defined it as meeting present needs without compromising the ability of future generations to meet theirs
    2. The Sustainable Development Goals comprise 17 goals
    3. Cap and trade fixes the total quantity of emissions and lets the allowance price vary
    4. Strong sustainability allows natural capital to be fully replaced by manufactured capital
    Show answer

    Answer: A — The Brundtland report defined it as meeting present needs without compromising the ability of future generations to meet theirs; B — The Sustainable Development Goals comprise 17 goals; C — Cap and trade fixes the total quantity of emissions and lets the allowance price vary

    (a), (b) and (c) are correct. (d) describes weak sustainability; strong sustainability holds that critical natural capital — a stable climate, the ozone layer, fertile soil — cannot be substituted and must be maintained in its own right.