# The impact Equation where scientists and engineers fit in the picture

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1 The impact Equation where scientists and engineers fit in the picture In a series of papers in , Paul Ehrlich and John Holdren proposed the following equation to estimate the overall impact of our economic activities on the environment: I P A T Impact Population (# people) Affluence (# units of technology per person) Technology (impact per unit of technology) This equation has since been known as the IPAT equation, or also the Master Equation. When written as a single product, the IPAT equation is somewhat misleading because the most affluent people (ex. Americans) are not necessarily those using the dirtiest technologies (ex. Former Soviet block countries) or those having the highest population (ex. Chinese). Thus, I propose that we split the IPAT equation in the sum of three terms, each corresponding to a region of the globe: I P 1 A1 T1 P2 A2 T2 P3 A3 T3 First World Highly developed nations (USA, Canada, Europe, Japan, SE Asia) Second World Transition nations (BRIC: Brazil, Russia, India & China; Mexico) Third World Poor nations First World : Relatively clean technologies and stable population; problem is affluence (A 1 ) Second World : Moderate affluence but dirty technologies (T 2 ) and, for some, population (P 2 ) Third World : Very little affluence, some dirty technology (T 3 ) and high population (P 3 ) 1

2 A variation of the IPAT equation: Because energy consumption leads to all kinds of environmental impacts, both upstream (depletion of non-renewable energy sources & oil spills) and downstream (air pollution and greenhouse gases), it can serve as a good measure of the Impact. Environmental impact of energy use = Environmental impact per unit of energy (This combines the renewability and cleanliness factors. On one side, one should consider that petroleum reserves are being depleted and, on the other side, elements such as oils spills, air pollution and greenhouse gas emissions. Reduction lies in adopting the following forms of energy: solar, wind, hydro-electric and biomass-derived fuels.) X Number of energy units used per unit of economic activity (This is the energy-efficiency factor. It has improved, undergoing a 60% reduction from 1958 to 1990.) X Number of units of economic activity per person (This is the affluence factor. If everyone in the world were to adopt a standard of living equal to that in the United States, this factor would become 5 times larger.) X Number of people (This is the population factor. It is expected to double on earth before it levels off.) Another variation of the IPAT equation As for the affluence factor, one can take the Gross Domestic Product (GDP) of the nation. Thus, the IPAT equation can be read as I P A T energy consumption # of people \$ of GDP per person GDP energy used per \$ of economic activity From this follows that the reduction in environmental impact 2

3 Country Population (in million) GDP (in \$ billion) GDP per capita Somalia \$600 Ethiopia \$1,000 Haiti \$1,200 Nigeria \$2,400 India 1, ,046 \$3,400 China 1, ,872 \$7,400 Brazil ,194 \$10,900 Mexico ,560 \$13,800 Russia ,229 \$15,900 Turkey \$12,300 Slovenia \$28,400 Italy 61,017 1,782 \$30,700 France 65,103 2,160 \$33,300 Germany ,960 \$35,900 Canada ,335 \$39,600 USA ,720 \$47,400 (Source: CIA World Factbook numbers) dirtier countries cleaner countries (Taken from P. Bishop, Pollution Prevention, Fundamentals & Practice, 2000, page 124) 3

4 Note: Gain in energy efficiency by a factor 2 in 50 years (1950 to 2000) (Source: N. Wilson World Energy Use and carbon Dioxide Emissions, , US Dept. of Energy, May 2004) Note: Btu = British Thermal Unit = energy needed to raise the temperature of one pound of water by one degree Farhenheit 4

5 There is a limit to how clean technology (T) can be but no apparent limit to wealth (GDP). The result is an eventual increase of impact (I). (From Huesemann, 2003) A clear example: Rubber tires On one hand, we make better, smarter materials This allows us to use less or use the same longer But, on the other hand, there are more of us And, each one of us consumes more. The total amount used of a material = Amount per product x Number of products 5

6 An example 6

7 Energy issues Energy flow in the United States in 2005, in BTUs/year (Source: U.S. Department of Energy) 7

8 * 8

9 The big shame! (in Btu per year) 9

10 Renewable Energy Technologies This is a non-comprehensive list of alternative energy technologies Hydroelectricity Dam water pressure turbine electricity Solar technologies Passive solar design (sunbeam low-temperature heat) Solar thermal (parabolic mirrors to focus sunbeam steam in tower electricity) Photovoltaic cells (direct conversion sunbeam electricity) Wind technology Wind turbines (wind electricity) Geothermal power generation use of permanent temperature difference on earth thermodynamic engine (on land or at sea) Biomass Organic material natural oils (biodiesel) sugars alcohol (= fuel) Resource recovery Incineration of solid waste heat/steam heating or electricity Methane emissions from municipal landfills capture fuel Energy from the ocean Wave energy, tidal energy, geothermal energy Renewable Energy Possibilities Wind 2-4 TW extractable Tide/Ocean Currents 2 TW gross Solar 1.2 x 10 5 TW on Earth s surface 36,000 TW on land (world) 2,200 TW on land (US) Biomass 5-7 TW gross (world) 0.29% efficiency for all cultivatable land not used for food Geothermal 9.7 TW gross (world) 0.6 TW gross (US) (small fraction technically feasible) Hydroelectric 4.6 TW gross (world) 1.6 TW technically feasible 0.6 TW installed capacity 0.33 gross (US) (Source: George Crabtree, Materials Science Division, Argonne National Laboratory) 10

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