The Value of Wastewater: An Econometric Evaluation of Recoverable Resources in Wastewater for Reuse Christopher Stacklin, P.E.1 1 Orange County Sanitation District, Fountain Valley, CA, USA *Email: [email protected]. ABSTRACT In the past, wastewater had been looked at as a nuisance stream, requiring treatment before being discharged to receiving bodies of water. As the scarcity and price of clean drinking water continues to rise across the world, the value of wastewater, for its recoverable water content is also increasing. Presently, the paradigm of wastewater is changing with the development of practical reuse and recovery technologies. Now wastewater is viewed as a resource based on recoverable components such as nutrients, carbon, and inorganics in addition to water and energy. Synergies for this paradigm change exist in several aspects. New wastewater discharge regulations limiting nutrients such as phosphate for example, is in sync with world market demand of phosphate. Renewable energy regulation is fostering inventive energy recovery uses for biosolids from POTWs. Water reuse and recovery as well as energy recovery for POTWs are providing concentrated waste streams which make recovery of wastewater components much easier than before. Technologies which focus on resource recovery are in operation and are under development for some of the many components in wastewater. But what is the value of wastewater? In consideration of recoverable components in wastewater including water, nutrients, metals, plastics, and energy, an econometric model can be developed to show the value of wastewater per unit of flow from a typical POTW and extended to state, region, country and worldwide. Further, by specifying the statistical relationship that is believed to hold between the various economic quantities pertaining to a particular economic phenomenon under study, the econometric model can be extended to reflect the current and future value of wastewater. This paper presents an econometric model and results which characterize the potential value of wastewater as a resource which can useful for development of pro formas and evaluation of capital investment in recovery of resources in wastewater. The econometric model is built at a plant level with macro-economic scaling which incorporates population growth, commodity supply and demand, capacity utilization lending to price forecast. The model is built using known POTW capacity in the United States, converting to a per capita basis, and then reconverting to a capacity based on regional population growth estimates. Figures 1 and 2 show some results of the econometric model. The world potable water recovery opportunity is US$ 505 billion in 2010 and rising to US$681 billion in 2050, increasing at 0.87% per year (2010 dollars, no inflation) based on a 693,318 MGD factored world sewage discharge capacity. The world nutrient recovery opportunity totals US$ 10.4 billion in 2010, growing to US$ 26.4 billion in 2050. Phosphorus increases from US$ 8.1 billion in 2010 to US$ 15.4 billion in 2050 based on the World Bank price of US$ 109/ton and increasing at 1.0% per year. Water Extractable Phosphorus rises from US$ 655 million in 2010 to US$ 1.2 billion in 2050. Nitrate/Nitrite increases from US$ 1.7 billion in 2010 to US$ 9.8 billion in 2050. Figure 1. World Potable Water and Nutrient Recovery Opportunity. The world energy recovery opportunity is from US$ 20.0 billion in 2010 to US$ 45.3 billion in 2050, growing at 3.2% per year. The biosolids component ranges from US$ 5.9 billion to US$ 16.2 billion, a 4.3% per year increase. Digester Gas is from US$ 14.1 billion in 2010 to US$ 29.1 billion in 2050, or 2.7% per year growth. While metal recovery technology from POTW effluent has not yet become economically viable, the world metals recovery opportunity in 2010 totals to US$ 585 billion and is dominated by silver at US$ 310 billion, or 53% of the total. Note that because silver is the largest portion and silver is moderately speculative, the metals recovery potential will be subject to large swings. Aluminum is US$ 69 billion for 12% of the total, magnesium is US$ 62 billion for 11% of the total, titanium is US$ 47 billion for 8% of the total, and iron is US$ 24 billion for 4% of the total. Figure 2. World Energy and Metals Recovery Opportunity. Model development and more detailed and scalable results will be discussed. KEYWORDS: Wastewater, Econometrics, Water Reuse, Nutrient Recovery, Paradigm Shift CHANGING THE PARADIGM OF WASTEWATER AND POTWs POTWs traditionally dealt with the disposal of wastewater and sludge. Treatment technologies focused on making the wastewater compatible for discharge to the receiving body of water. Sludge was converted to biosolids and landfilled or land applied. A combination of environmental regulation and scarcity of resources give us pause to look at POTWs in a relatively new light. Over the past few decades, potable water can be recovered from the wastewater. Digester gas can be raised for electric power production. Biosolids can be combusted for power. Recent technological innovations allow nutrients such as phosphate to be recovered for agricultural use. Future technologies for metals recovery and contingent plans for metals reclamation are being planned. With this paradigm shift, what used to be called a Publically Owned Treatment Works in now a Water Resource Recovery Facility (WRRF). Considering WRRF’s and all of the components in wastewater that it receives, a value can be assigned to these components to get a true, but approximate idea of the total value recoverable resources in wastewater. Henceforth, the goal of this paper is to develop a resource recovery model of a WRRF, then apply an econometric evaluation to estimate the total value recoverable resources in wastewater. BUILDING A RESOURCE RECOVERY MODEL The Basic Approach How would you determine the value of wastewater? Key metrics needed to determine the value are the capacity of the components in wastewater and the marketable value placed on those components. Ideally, metrics would be available where the capacity of every wastewater treatment facility in the world is identified and the relative amounts of components in the wastewater are clearly described. The reality is that this information either is not available at all or is not affordably available. The fundamental approach taken in this evaluation is that the capacity of the components is a function of human population. At a fundamental level, population drives discharges of sanitary of domestic wastes. As populations increase and countries develop, so do industrial and commercial discharges to sustain the populations. Although not all developing regions capture and treat these wastes and have the same level of industrial and commercial development as other countries, the potential exists. As regional economies continue to grow through globalization, what is being discharged from developing regions will approach that of developed regions. The approach is to therefore define the wastewater treatment capacity in the United States, then use the population to ratio the capacity to other countries and geographic regions. Constituents that can be typified within wastewater can also be proportioned relative to capacity and therefore quantified after which the price per unit can be applied and the value determined. Geographic regions considered in this economic evaluation include Africa, Asia, Europe, Latin American and the Caribbean, Northern America, Oceania. Determining Capacity in the United States The wastewater treatment capacity in the United States can be approximated using the datum collected from the EPA’s Clean Watersheds Needs Survey. (U.S. EPA, 2008) The EPA's Office of Wastewater Management conducts a Clean Watersheds Needs Survey every four years, the most recent of which having been published in 2008. The survey is conducted in response to Sections 205(a) and 516 of the Clean Water Act. While the survey does not include every facility in the United States, the survey is relatively close, representing metrics from 14,275 facilities. The facilities have a combined existing total flow rate of 31,206 million gallons per day. Given the wastewater treatment capacity in the United States and the population growth, the future treatment capacity and wastewater components discharged can also be forecasted. Defining Capacity in Other Geographic Regions The Population Division of the Department of Economic and Social Affairs of the United Nations Secretariat publishes the World Population Prospects every two years. This evaluation uses estimates and projections from the 2010 revision. (United Nations, 2010) The population is estimated from each country starting July 1, 2010 using the most recent population data available from a population census or a population register. Projections are made from assumptions on fertility, mortality and international migration trends. Population metrics from countries are summed to their perspective geographic region. Because projections are made from these assumptions, a number of variant cases were developed. The medium variant was selected for this evaluation as shown in Table 1. Table 1. Medium variant 2010 population projection of select geographic regions (in thousands). Geographic Region 2010 2015 2020 2025 2030 2035 2040 2045 2050 South America 392,555 412,909 431,471 447,830 461,496 472,331 480,325 485,537 488,073 Central America 155,881 166,487 176,389 185,492 193,747 200,966 207,037 211,906 215,569 Latin America and the Caribbean 590,082 622,437 652,182 678,778 701,606 720,307 734,748 744,929 750,956 Northern America 344,529 359,638 374,394 388,472 401,657 413,945 425,467 436,348 446,862 36,593 39,355 42,056 44,651 47,096 49,367 51,475 53,435 55,233 310,384 323,885 337,102 349,758 361,680 372,889 383,460 393,454 403,101 Oceania United States Europe 738,199 742,067 744,177 743,890 741,233 736,922 731,826 726,029 719,257 Asia 4,164,252 4,375,482 4,565,520 4,730,130 4,867,741 4,978,236 5,060,964 5,115,457 5,142,220 Africa 1,022,234 1,145,316 1,278,199 1,417,057 1,562,047 1,713,090 1,869,561 2,029,824 2,191,599 World 6,895,889 7,284,296 7,656,528 8,002,978 8,321,380 8,611,867 8,874,041 9,106,022 9,306,128 Given the wastewater treatment capacity of the United States, the population forecast of the United States and the population of a specific geographic region, the wastewater treatment capacity can be proportioned to another geographic area. Calculating the Quantity of Components in Wastewater The components considered in this evaluation can be grouped under nutrients, energy, (potable) water, and metals. The nutrients, metals, and energy were characterized from the sludge portion of wastewater only (versus the water portion). Metrics typifying sludge were derived from a national sewage sludge report released by the U.S. EPA in 2009. (U.S. EPA, 2009) The EPA collected samples from 74 POTWs in 35 states from 2006 to 2007. The EPA analyzed 145 constituents including nutrients, metals, polycyclic aromatic hydrocarbons, semi-volatiles, flame retardants, pharmaceuticals, and steroids and hormones. While all constituents could have potential recoverable value, this resource recovery model considered only the recoverable value of nutrients and metals characterized in the report. Table 2. Summary of nutrient and metals results from (U.S. EPA, 2009). Class Solids Analyte Percent Solids Units % Minimum Maximum 0.43 93.5 84 7.6 234 84 1.6 6,120 84 11 9,550 84 2,620 118,000 84 0.00065 0.3392 Aluminum 84 1400 57,300 Antimony 72 0.45 26.6 Arsenic 84 1.18 49.2 Barium 84 75.1 3,460 83 0.04 2.3 Boron 80 5.7 204 Cadmium 84 0.21 11.8 Calcium 84 9,480 311,000 Chromium 84 6.74 1160 Nitrate/Nitrite Water-extractable Phosphorus mg/kg Phosphorus WEP Ratio Metals # Detects 84 Fluoride Anions Observed Dry-weight Concentration Beryllium unitless mg/kg Class Analyte Units Observed Dry-weight Concentration # Detects Minimum Maximum Cobalt 84 0.87 290 Copper 84 115 2,580 Iron 84 1,575 299,000 Lead 84 5.81 450 Magnesium 84 696 18,400 Manganese 84 34.8 14,900 Mercury 84 0.17 8.3 Molybdenum 84 2.51 132 Nickel 84 7.44 526 Selenium 84 1.1 24.7 Silver 84 1.94 856 Sodium 84 154 26,600 Thallium 80 0.02 1.7 Tin 78 7.5 522 Titanium 83 18.5 7,020 Vanadium 84 2.04 617 Yttrium 84 0.7 26.3 Zinc 84 216 8,550 Energy was evaluated as thermal heat in digester gas and biosolids. Other forms of energy such as direct electric power production from fuels cells were not considered. The heat value of biosolids was estimated using in-house facility data tempered with data from other sources. (U.S. DOE, 2001) (U.S. DOE/EIA, 2012) (U.S. EPA , 2007) (U.S. DOE/EIA, 2010) The heat value was set at 6556 BTU/lb, dry basis although it is recognized that there will be variations at other facilities. Since wastewater capacity is known, the value of the components in biosolids can be estimated by determining the ratio of solids to influent. Although it is recognized that this number varies from facility to facility, literature values were not readily available, so the ratio was estimated from in-house facility data as per Table 3. The solids to influent ratio on a dry basis was calculated to be 0.013%. Table 3. Solids to influent ratio. Parameter Average Combined Influent, MGD Combined Influent, lb/d 229 1,913,063,328 P1, Wet Tons/Year 103,834 P2, Wet Tons/Year 125,513 Total Biosolids, Wet Tons/Year 229,348 Total Biosolids, lb/Day Wet 1,256,700 Solids to Influent Ratio Wet 0.07% Total Solids, percent 20% Total Biosolids, Dry Tons/Year 45,870 Total Biosolids, lb/Day Dry 251,340 Solids to Influent Ratio Dry 0.013% The heat value of digester gas was set at 650 BTU/scf, dry basis based on Metcalf and Eddy. (Tchobanoglous, 2003) The digester gas energy to influent ratio was calculated to be 144% from in-house facility data shown in Table 4. Table 4. Digester gas energy to influent ratio. Parameter Combined Influent, MGD Combined Influent, lb/d Average 229 1,913,063,328 P1, Mcf/month 50 P2, Mcf/month 79 Parameter Average Total Digester Gas, Mcf/month 129 BTU/scf dry 650 BTU/d Energy to Influent Ratio 2,756,293,094 144% Determining the Price of Components of Wastewater The price components of wastewater were primarily based on or adjusted to 2010 U.S. dollars. Table 5 shows the price forecast of nutrients and metals in sludge. Note that components denoted by a “1” indicate that the prices are developed from the World Bank, Development Prospects Group in 2005 U.S. dollars. (World Bank, Development Prospects Group, 2012) The other component prices are developed from the U.S. Geological Survey Mineral Commodities Summary. (U.S. Geological Survey, 2011) (U.S. Geological Survey, 2012) Energy prices for digester gas and biosolids are shown in Table 6. The prices are developed from the U.S. Energy Information Administration Annual Energy Outlooks for anthracitic coal and natural gas. (U.S. EIA, 2012) (U.S. EIA, 2012) The prices are adjusted to the corresponding heat value of biosolids and digester gas. Table 5. Price forecast of nutrients and metals in sludge. Commodity Nitrate/Nitrite W/E Phosphorus 1 Phosphorus 1 Aluminum 1 Antimony Arsenic Beryllium Boron Cadmium Chromium Cobalt Copper 1 Iron ore 1 Lead 1 Magnesium Manganese Mercury Molybdenum Nickel 1 Selenium Silver 1 Sodium Thallium Tin 1 Titanium Vanadium Yttrium Zinc 1 World Bank (Actual + Forecast) Extrapolated Avg. Rate 2010 2015 2020 2025 2030 2035 2040 2045 2050 $0.20 $0.30 $0.38 $0.46 $0.54 $0.62 $0.70 $0.78 $0.86 8.3% $0.05 $0.05 $0.04 $0.03 $0.06 $0.06 $0.06 $0.07 $0.07 1.0% $0.05 $0.05 $0.04 $0.03 $0.06 $0.06 $0.06 $0.07 $0.07 1.0% $0.87 $0.91 $0.89 $0.85 $0.86 $0.86 $0.86 $0.85 $0.85 -0.1% $4.01 $6.88 $9.40 $11.92 $14.45 $16.97 $19.50 $22.02 $24.54 12.8% $0.72 $0.84 $0.77 $0.69 $0.62 $0.55 $0.47 $0.40 $0.33 -1.4% $228.00 $244.85 $301.95 $359.04 $416.13 $473.22 $530.31 $587.40 $644.49 4.6% $0.18 $0.18 $0.20 $0.21 $0.23 $0.24 $0.26 $0.28 $0.29 1.5% $1.77 $2.83 $3.62 $4.42 $5.22 $6.01 $6.81 $7.61 $8.40 9.4% $5.14 $7.52 $9.59 $11.66 $13.73 $15.81 $17.88 $19.95 $22.02 8.2% $20.85 $31.61 $38.39 $45.17 $51.95 $58.73 $65.50 $72.28 $79.06 7.0% $3.03 $2.45 $2.03 $2.00 $2.80 $2.95 $3.09 $3.24 $3.39 0.3% $0.06 $0.04 $0.03 $0.03 $0.05 $0.05 $0.05 $0.06 $0.06 0.0% $0.86 $0.86 $0.74 $0.75 $0.92 $0.98 $1.03 $1.08 $1.13 0.8% $2.43 $3.44 $4.35 $5.26 $6.16 $7.07 $7.98 $8.89 $9.79 7.6% $0.00 $0.01 $0.01 $0.01 $0.01 $0.01 $0.02 $0.02 $0.02 10.3% $14.16 $24.59 $33.69 $42.80 $51.90 $61.00 $70.11 $79.21 $88.32 13.1% $15.80 $26.33 $30.94 $35.56 $40.18 $44.79 $49.41 $54.03 $58.65 6.8% $8.76 $6.48 $6.76 $6.92 $7.96 $8.37 $8.77 $9.18 $9.59 0.2% $37.83 $66.98 $88.61 $110.23 $131.86 $153.49 $175.12 $196.75 $218.37 11.9% $260.75 $270.08 $193.96 $189.44 $240.95 $238.70 $236.45 $234.20 $231.96 -0.3% $0.07 $0.08 $0.08 $0.09 $0.10 $0.11 $0.11 $0.12 $0.13 2.2% $2,689.80 $3,381.73 $4,137.28 $4,892.84 $5,648.39 $6,403.95 $7,159.50 $7,915.06 $8,670.61 5.6% $8.20 $9.10 $8.37 $8.03 $9.28 $9.61 $9.95 $10.28 $10.61 0.7% $4.87 $7.55 $8.58 $9.61 $10.64 $11.67 $12.69 $13.72 $14.75 5.1% $6.50 $10.66 $12.66 $14.65 $16.65 $18.64 $20.64 $22.63 $24.63 7.0% $44.91 $84.56 $98.78 $113.01 $127.24 $141.46 $155.69 $169.92 $184.14 7.8% $0.87 $0.84 $0.73 $0.73 $0.86 $0.89 $0.92 $0.95 $0.98 0.3% Table 6. Energy price forecast for digester gas and biosolids. Commodity Pricing per unit Anthracite Coal, nominal US$ per short tons Anthracite Coal, nominal US$ per mmBTU Biosolids Equivalent, nominal US$ per short tons Biosolids Equivalent, nominal US$ per mmBTU Natural Gas Average Price, nominal US$ per mmBTU Digester Gas Equivalent, nominal US$ per mmBTU 2010 $153.59 $6.14 $42.25 $3.22 $7.33 $4.63 2015 $189.11 $7.56 $99.18 $3.97 $6.60 $4.17 2020 $198.45 $7.94 $104.08 $4.16 $6.93 $4.38 Forecast, $ per Unit 2025 2030 2035 $212.18 $225.36 $238.32 $8.49 $9.01 $9.53 $111.28 $118.19 $124.99 $4.45 $4.73 $5.00 $7.93 $8.50 $9.52 $5.01 $5.37 $6.01 2040 $260.55 $10.42 $136.65 $5.47 $10.06 $6.35 2045 $284.86 $11.39 $149.40 $5.98 $10.62 $6.71 2050 $311.44 $12.46 $163.34 $6.53 $11.22 $7.09 Growth Rate 1.80% 2.57% 7.17% 2.57% 1.10% 1.33% The price of drinking water was fixed at U.S.$650 per acre-feet and the number is based on the premise of treating secondary effluent using RO/AOP. The number was tested using other referenced sources. Water usage rates in 30 U.S. cities averaged US$608/acre-foot. (Circle of Blue, 2011) The average water rate based on 15 countries was US$1,140/acre-foot and for the U.S. was US$629/acre-foot. (Pacific Institute, 2009) (Janice A. Beecher and Jason A. Kalmbach, 2010). The price was not adjusted upward as a forecast using economic indicators such as inflation or GDP. As such, water prices reflected in this evaluation are conservative. RESULTS OF THE ECONOMETRIC MODEL World The potential value of resources in wastewater for the World is on the order of US$1.120 trillion in 2010 to US$2.026 trillion in 2050, or a 2.0% per year growth rate as shown in Figures 3 through 5. The World population is 6.90 billion in 2010 to 9.31 billion in 2050, or a 0.9% per year growth rate The potential value of nutrients in wastewater for the World is on the order of US$10 billion in 2010 to US$26 billion in 2050, or a 3.8% per year growth rate The potential value of energy in wastewater for the World is on the order of US$.020 trillion in 2010 to US$.045 trillion in 2050, or a 3.2% per year growth rate o Digester gas is on the order of US$14 billion in 2010 to US$29 billion in 2050, or a 2.7% per year growth rate o Biosolids is on the order of US$6 billion in 2010 to US$16 billion in 2050, or a 4.3% per year growth rate The potential value of water in wastewater for the World is on the order of US$505 billion in 2010 to US$681 billion in 2050, or a 0.9% per year growth rate The potential value of metals in wastewater for the World is on the order of US$.585 trillion in 2010 to US$1.273 trillion in 2050, or a 2.9% per year growth rate Figure 3. World resource recovery opportunity forecast and sector. Figure 4. World nutrient and energy recovery opportunity forecast. Figure 5. World water and metals recovery opportunity forecast. United States The potential value of resources in wastewater for the United States is on the order of US$50 billion in 2010 to US$88 billion in 2050, or a 1.9% per year growth rate shown in Figures 6 through 8. The United States population is 310 million in 2010 to 403 million in 2050, or a 0.7% per year growth rate The potential value of nutrients in wastewater for the United States is on the order of US$0.47 billion in 2010 to US$1.14 billion in 2050, or a 3.6% per year growth rate The potential value of energy in wastewater for the United States is on the order of US$0.90 billion in 2010 to US$1.96 billion in 2050, or a 2.9% per year growth rate o Digester gas is on the order of US$0.64 billion in 2010 to US$1.26 billion in 2050, or a 2.5% per year growth rate o Biosolids is on the order of US$0.27 billion in 2010 to US$.70 billion in 2050, or a 4.1% per year growth rate The potential value of metals in wastewater for the United States is on the order of US$26 billion in 2010 to US$55 billion in 2050, or a 2.7% per year growth rate The potential value of water in wastewater for the United States is on the order of US$23 billion in 2010 to US$30 billion in 2050, or a 0.7% per year growth rate Figure 6. United States resource recovery opportunity forecast and sector. Figure 7. United States nutrient and energy recovery opportunity forecast. Figure 8. United States water and metals recovery opportunity forecast. Europe The potential value of resources in wastewater for Europe is on the order of US$120 billion in 2010 to US$157 billion in 2050, or a 0.8% per year growth rate shown in Figures 9 through 11. The European population is 738 million in 2010 to 719 million in 2050, or a -0.1% per year growth rate The potential value of nutrients in wastewater for Europe is on the order of US$1.12 billion in 2010 to US$2.04 billion in 2050, or a 2.1% per year growth rate The potential value of energy in wastewater for Europe is on the order of US$2.14 billion in 2010 to US$3.50 billion in 2050, or a 1.6% per year growth rate o Digester Gas is on the order of US$1.51 billion in 2010 to US$2.25 billion in 2050, or a 1.2% per year growth rate o Biosolids is on the order of US$0.63 billion in 2010 to US$1.25 billion in 2050, or a 2.4% per year growth rate The potential value of water in wastewater for the Europe is on the order of US$54 billion in 2010 to US$53 billion in 2050, or a -0.1% per year growth rate The potential value of metals in wastewater for the Europe is on the order of US$63 billion in 2010 to US$98 billion in 2050, or a 1.4% per year growth rate Figure 9. Europe resource recovery opportunity forecast and sector. Figure 10. Europe nutrient and energy recovery opportunity forecast. Figure 11. Europe water and metals recovery opportunity forecast. Asia The potential value of resources in wastewater for the Asia is on the order of US$676 billion in 2010 to US$1119 billion in 2050, or a 1.6% per year growth rate shown in Figures 12 through 14. The Asian population is 4.16 billion in 2010 to 5.14 billion in 2050, or a 0.6% per year growth rate The potential value of nutrients in wastewater for Asia is on the order of US$6.3 billion in 2010 to US$14.58 billion in 2050, or a 3.3% per year growth rate The potential value of energy in wastewater for Asia is on the order of US$12.1 billion in 2010 to US$25.0 billion in 2050, or a 2.7% per year growth rate o Digester gas is on the order of US$8.52 billion in 2010 to US$16.10 billion in 2050, or a 2.2% per year growth rate o Biosolids is on the order of US$3.57 billion in 2010 to US$8.93 billion in 2050, or a 3.8% per year growth rate The potential value of water in wastewater for Asia is on the order of US$305 billion in 2010 to US$376 billion in 2050, or a 0.6% per year growth rate The potential value of metals in wastewater for Asia is on the order of US$353 billion in 2010 to US$703 billion in 2050, or a 2.5% per year growth rate Figure 12. Asia resource recovery opportunity forecast and sector. Figure 13. Asia nutrient and energy recovery opportunity forecast. Figure 14. Asia water and metals recovery opportunity forecast. Africa The potential value of resources in wastewater for Africa is on the order of US$166 billion in 2010 to US$477 billion in 2050, or a 4.7% per year growth rate shown in Figures 15 through 17. The Africa population is 1.02 billion in 2010 to 2.19 billion in 2050, or a 2.9% per year growth rate The potential value of nutrients in wastewater for Africa is on the order of US$1.55 billion in 2010 to US$6.22 billion in 2050, or a 7.5% per year growth rate The potential value of energy in wastewater for Africa is on the order of US$2.97 billion in 2010 to US$10.67 billion in 2050, or a 6.5% per year growth rate o Digester gas is on the order of US$2.09 billion in 2010 to US$6.86 billion in 2050, or a 5.7% per year growth rate o Biosolids is on the order of US$0.88 billion in 2010 to US$3.81 billion in 2050, or a 8.4% per year growth rate The potential value of water in wastewater for Africa is on the order of US$75 billion in 2010 to US$160 billion in 2050, or a 2.9% per year growth rate The potential value of metals in wastewater for Africa is on the order of US$87 billion in 2010 to US$300 billion in 2050, or a 6.1% per year growth rate Figure 15. Africa resource recovery opportunity forecast and sector. Figure 16. Africa nutrient and energy recovery opportunity forecast. Figure 17. Africa water and metals recovery opportunity forecast. Latin America and the Caribbean The potential value of resources in wastewater for Latin America and the Caribbean is on the order of US$96 billion in 2010 to US$163 billion in 2050, or a 1.8% per year growth rate shown in Figures 18 through 20. The Latin America and the Caribbean population is 590 million in 2010 to 751 million in 2050, or a 0.7% per year growth rate The potential value of nutrients in wastewater for Latin America and the Caribbean is on the order of US$0.89 billion in 2010 to US$2.1 billion in 2050, or a 3.5% per year growth rate The potential value of energy in wastewater for Latin America and the Caribbean is on the order of US$1.7 billion in 2010 to US$3.7 billion in 2050, or a 2.8% per year growth rate o Digester gas is on the order of US$1.2 billion in 2010 to US$2.4 billion in 2050, or a 2.4% per year growth rate o Biosolids is on the order of US$0.51 billion in 2010 to US$1.3 billion in 2050, or a 4.0% per year growth rate The potential value of water in wastewater for Latin America and the Caribbean is on the order of US$43 billion in 2010 to US$55 billion in 2050, or a 0.7% per year growth rate The potential value of metals in wastewater for Latin America and the Caribbean is on the order of US$50 billion in 2010 to US$103 billion in 2050, or a 2.6% per year growth rate Figure 18. Latin America and the Caribbean resource recovery opportunity forecast and sector. Figure 19. Latin America and the Caribbean nutrient and energy recovery opportunity forecast. Figure 20. Latin America and the Caribbean water and metals recovery opportunity forecast. Oceania The potential value of resources in wastewater for Oceania is on the order of US$5.9 billion in 2010 to US$12.0 billion in 2050, or a 2.6% per year growth rate shown in Figures 21 through 23. The Oceania population is 37 million in 2010 to 55 million in 2050, or a 1.3% per year growth rate The potential value of nutrients in wastewater for Oceania is on the order of US$55 million in 2010 to US$157 million in 2050, or a 4.6% per year growth rate The potential value of energy in wastewater for Oceania is on the order of US$106 million in 2010 to US$269 million in 2050, or a 3.8% per year growth rate o Digester gas is on the order of US$75 million in 2010 to US$173 million in 2050, or a 3.3% per year growth rate o Biosolids is on the order of US$31 million in 2010 to US$96 million in 2050, or a 5.2% per year growth rate The potential value of water in wastewater for the Oceania is on the order of US$2.7 billion in 2010 to US$4.0 billion in 2050, or a 1.3% per year growth rate The potential value of metals in wastewater for Oceania is on the order of US$3.1 billion in 2010 to US$7.6 billion in 2050, or a 3.6% per year growth rate Figure 21. Oceania resource recovery opportunity forecast and sector. Figure 22. Oceania nutrient and energy recovery opportunity forecast. Figure 23. Oceania water and metals recovery opportunity forecast. DISCUSSION Resource Recovery Opportunities Based on 2010 results, metals comprises the highest value of recoverable constituents at US$585 billion followed by potable water at US$505 billion in 2010 followed by energy at US$20 billion and nutrients at US$10 billion shown in Figure 24. However, economically viable technologies for recovery of metals in wastewater sludge are not available for WRRFs. Water, $504,800 Energy, $20,017 Metals, $584,882 Nutrients, $10,430 Figure 24. Recoverable constituents in 2010. Nutrient Recovery Potential and Phosphate Rock Prices Stability Figure 25 shows the nutrient recovery potential by geographic region lead by Asia at US$6.3 billion. The value is influenced by the relative large population in China. Africa is next at US$1.5 billion. $7,000 $6,299 $6,000 $5,000 $4,000 $3,000 $2,000 $1,546 $1,117 $1,000 $893 $469 $55 $0 United States Europe Asia Oceania Africa Latin America Figure 25. 2010 Nutrient recovery by geographic region in US$ millions. The U.S. Geological Survey estimates world phosphate rock reserves at 71 billion metric tons. (U.S. Geological Survey, 2012) Annual mine production is estimated to be 191 million metric tons for 2011. If world demand for phosphorus rises as a function of population growth rate which averages 0.87% per year, the reserves amount to a 200 year supply. The reserve estimate was adjusted upward by including reserves from Iraq, Saudi Arabia, India, Mexico, and Peru. Prior estimates lead to the belief that phosphate rock is in finite supply which would cause future prices to speculate. This would add to the importance of recovery of nutrients for WRRFs. As such, phosphorus prices used in this model are based on projections by the World Bank and do not reflect this instability. Prices are shown in Figure 26 and increase an average of 1% per year. $0.08 $0.07 $0.06 $0.05 $0.04 $0.03 $0.02 $0.01 $0.00 2010 2015 2020 2025 2030 2035 2040 2045 2050 Figure 26. Phosphate rock prices, real 2005 US$ per metric ton. Metal Recovery Potential The world metals recovery opportunity in 2010 totals to US$ 585 billion and is dominated by silver at US$ 310 billion, or 53% of the total. Note that because silver is the largest portion and silver is speculative, the metals recovery potential will be subject to large swings. Aluminum is US$ 69 billion for 12% of the total, magnesium is US$ 62 billion for 11% of the total, titanium is US$ 47 billion for 8% of the total, and iron is US$ 24 billion for 4% of the total. Price Volatility and Global Climate Change The calculated values of resources do not reflect impacts of global climate change. Climate change will influence population mobility in the geographic regions defined in this evaluation and will also impact price by creating instabilities, notably with the value of water. Titanium Vanadium Thallium Tin Sodium Yttrium Zinc* Antimony Beryllium Arsenic* Boron Aluminum Chromium* Cobalt Iron Lead* Magnesium Silver Cadmium* Copper* Manganese Mercury* Molybdenum* Nickel Selenium* Figure 26. Metals recovery potential in 2010. Climate change influences rainfall patterns and therefore, as water becomes unavailable in some regions while other regions may experience abnormally high rainfall amounts, the existing water delivery infrastructures will become inadequate. Potentially, new infrastructures will have to be built at high cost, driving up the price of water. An advantage of water recycling by WRRFs is that existing water is reused within an existing region an infrastructure, mitigating some of the capacity requirements for new water delivery systems. 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