Acid Rain Modeling
David M. Holland,
Alain Sirois,
David M. Holland
United States Environmental Protection Agency, NC, USA
Search for more papers by this authorDavid M. Holland,
Alain Sirois,
David M. Holland
United States Environmental Protection Agency, NC, USA
Search for more papers by this authorFirst published: 15 September 2006
Abstract
This article provides an overview of existing statistical methodologies for the estimation of site-specific and regional trends in wet deposition. The interaction of atmospheric processes and emissions tend to produce wet deposition data patterns that show large spatial and temporal variability. We conclude that a number of approaches are useful for trend estimation, but no one method is appropriate for all purposes.
References
- 1 Alvo, M. & Voldner, E. (1989). Assessment of temporal and spatial variability in wet sulfate and nitrate deposition, Journal of Official Statistics 5, 433–455.
- 2 Baier, W.G. & Cohn, T.A. (1993). Trend analysis of sulfate, nitrate, and pH data collected at National Atmospheric Deposition Program/National Trends Network Stations between 1980 and 1991, US Geological Survey, Open File Report 93–56.
- 3 Barchet, W.R., Olsen, A.R., Daly, D.S. & Carr, D.B. (1987). Temporal changes in wet deposition for eastern North America from 1980 through 1984, in EMEP-workshop on data analysis and presentation, EMEP/CCC-Report 7/87. Norwegian Institute for Air Research, P.O.RBox 100, NO 2027 Kjeller, Norway, p. 161.
- 4 Barrett, E. & Brodin, G. (1955). The acidity of Scandinavian precipitation, Tellus 7, 251–257.
- 5 Basilevsky, A. (1994). Statistical Factor Analysis and Related Methods: Theory and Applications, Wiley, New York.
- 6 Berge, E. (1988). Time-trends of sulfate and nitrate in precipitation in Norway (1972–1982), Atmospheric Environment 22, 333–338.
- 7 Bilonick, R.A. (1983). Risk qualified maps of hydrogen ion concentration for the New York state area for 1966–1978, Atmospheric Environment 17, 2513–2524.
- 8 Bilonick, R.A. (1985). The space–time distribution of sulfate deposition in the northeastern United States, Atmospheric Environment 19, 1829–1845.
- 9 Bilonick, R.A. & Nichols, D.G. (1983). Temporal variations in acid precipitation over New York state – what the 1965–1979 USGS data reveal, Atmospheric Environment 17, 1063–1072.
- 10 Blanchard, C.L., Sirois, A., Whelpdale, D.M., Brook, J. & Michaels, H.M. (1996). Evaluation of the capabilities of deposition networks to resolve regional trends and spatial patterns, Atmospheric Environment 30, 2539–2549.
- 11 Buishand, T.A., Kempen, G.T., Frantzen, A.J., Reijnders, H.F.R. & van den Eshof, A.J. (1988). Trend and seasonal variation of precipitation chemistry data in the Netherlands, Atmospheric Environment 22, 339–348.
- 12 CAPMON (1989). Canadian air and precipitation monitoring network precipitation chemistry data summary, 1987. Report ARD 89-1. Atmospheric Environment Service, Measurements and Analysis Research Division, Air-Quality and Inter-Environmental Research, 4905 Dufferein Street, Downsview, Ontario, Canada, M3H-5T4.
- 13 Conover, W.J. (1980). Practical Nonparametric Statistics, 2nd Edition, Wiley, New York.
- 14 Dana, M.T. & Easter, R.C. (1987). Statistical summary and analyses of event precipitation chemistry from the MAP3S network, 1976–1983, Atmospheric Environment 21, 113–128.
- 15 Dietz, E.J. & Killeen, T.J. (1981). A nonparametric multivariate test for monotone trend with pharmaceutical applications, Journal of the American Statistical Association 76, 169–174.
- 16 Dillion, P.J., Lusis, M., Reid, R. & Yap, D. (1988). Ten-year trends in sulphate, nitrate and hydrogen deposition in central Ontario, Atmospheric Environment 22, 901–905.
- 17 Egbert, G.D. & Lettenmaier, D.P. (1986). Stochastic modeling of space-time structure of atmospheric deposition, Water Resources Research 22, 165–179.
- 18 EMEP (1996). EMEP manual for sampling and chemical analysis. EMEP/CCC-Report 1/95, O-7726. Norwegian Institute for Air Research, P.O.RBox 100, NO 2027 Kjeller, Norway.
- 19 Eynon, B.P. (1988). Statistical analysis of precipitation chemistry measurements over eastern United States. Part II: kriging analysis of regional patterns and trends, Journal of Applied Meteorology 27, 1334–1343.
- 20
Eynon, B.P. &
Switzer, P.
(1983).
The variability of rainfall acidity,
The Canadian Journal of Statistics
11,
11–24.
10.2307/3314707 Google Scholar
- 21 Fay, J.A., Golomb, D. & Zemba, G.S. (1989). Observed and modeled trend of sulfate and nitrate in precipitation in Eastern North America, Atmospheric Environment 23, 1863–1866.
- 22 Granat, L. (1978). Sulfate in precipitation as observed by the European Atmospheric Chemistry Network, Atmospheric Environment 12, 413–424.
- 23 Hastie, T.J. & Tibshirani, R.J. (1990). Generalized Additive Models, Chapman & Hall, London.
- 24 Hedin, L.O., Granat, L., Likens, G.E., Buishand, T.A., Gallaway, J.N., Butler, T.J. & Rodhe, H. (1994). Steep declines in atmospheric base cations in regions of Europe and North America, Nature 367, 351–354.
- 25
Hedin, L.O.,
Likens, G.E. &
Bormann, F.H.
(1987).
Decrease in precipitation acidity resulting from decreased
concentration, Nature 325, 244–246.
- 26 Hirsch, R.M. & Gilroy, E.J. (1985). Detectability of step trends in the rate of atmospheric deposition of sulfate, Water Resources Bulletin 21, 773–784.
- 27 Hirsch, R.M. & Slack, J.R. (1984). A non-parametric trend test for seasonal data with serial dependence, Water Resources Research 20, 727–732.
- 28 Hirsch, R.M., Alexander, R.B. & Smith, R.A. (1991). Selection of methods for the detection and estimation of trends in water quality, Water Resources Research 27, 803–813.
- 29 Hirsch, R.M., Slack, J.R. & Smith, R.A. (1982). Techniques of trend analysis for monthly water quality data, Water Resources Research 18, 107–121.
- 30
Hochberg, A. &
Tamhane, A.C.
(1987).
Multiple Comparison Procedures,
Wiley,
New York.
10.1002/9780470316672 Google Scholar
- 31 Holland, D.M., De Oliveira, V., Cox, L.H. & Smith, R.L. (2000). Estimation of regional trends in sulfur dioxide over the eastern United States, Environmetrics 11, 373–393.
- 32 Holland, D.M., Simmons, C., Smith, L., Cohn, T., Baier, G., Lynch, J., Grimm, J., Oehlert, G. & Linberg, S. (1995). Long-term trends in NADP/NTN precipitation chemistry data: results of different statistical analyses, Water, Air and Soil Pollution 85, 595–601.
- 33 Kendall, M.G. (1975). Rank Correlation Methods, 4th Edition, Charles Griffin, London.
- 34 Kessler, C.J., Porter, T.H., Firth, D., Sager, T.W. & Hemphill, M.W. (1992). Factor analysis of trends in Texas acidic deposition, Atmospheric Environment 26, 1137–1146.
- 35 Lamb, D. & Bowersox, V. (2000). The national atmospheric deposition program: an overview, Atmospheric Environment 34, 1661–1663.
- 36 Leck, C. & Rodhe, H. (1989). On the relation between anthropogenic SO2 emissions and concentration of sulphate in air and precipitation, Atmospheric Environment 23, 959–966.
- 37 Lickens, G.E., Bormann, F.H., Pierce, R.S., Eaton, J.S. & Munn, R.E. (1984). Long-term trends in precipitation chemistry at Hubbard Brook, New Hampshire, Atmospheric Environment 18, 2641–2647.
- 38 Loftis, J.C., Ward, R.C., Phillips, R.D. & Taylor, C.H. (1989). An evaluation of trend detection techniques for use in water quality monitoring programs. Report EPA/600/3-89/037. Environmental Research Laboratory, US Environmental Protection Agency, Corvallis.
- 39 Lynch, J.A., Grimm, J.W. & Bowersox, V.C. (1995). Trends in precipitation chemistry in the United States: a national perspective, 1980–1992, Atmospheric Environment 29, 1231–1246.
- 40 Lynch, J.A., Bowersox, V.C. & Grimm, J.W. (1996). Trends in precipitation chemistry in the United States, 1983–94 – An analysis of the effects in 1995 of phase I of the Clean Air Act Amendments of 1990, Title IV. Open-File Report 96-0346, US Geological Survey.
- 41 Lynch, J.A., Bowersox, V.C. & Grimm, J.W. (2000). Changes in sulfate deposition in eastern USA following implementation of Phase I of Title IV of the Clean Air Act Amendments of 1990, Atmospheric Environment 34, 1665–1680.
- 42 MAP3S/RAINE Research Community. (1982). The MAP3S/RAINE precipitation chemistry network: statistical overview for the period 1976–1980, Atmospheric Environment 16, 1603–1631.
- 43 Mylona, S. (1999). EMEP emission data: status report 1999. Report EMEP/MSC-W Note 1/99. Norwegian Meteorological Institute, P.O.RBox 43-Blindern, N-0313, Oslo, Norway.
- 44 Oehlert, G.W. (1984). Statistical aspects of acidification trends, in Ninth Conference on Probability and Statistics in Atmospheric Sciences, American Meteorological Society, Boston, pp. 48–54.
- 45 Oehlert, G.W. (1984). A statistical analysis of the trends in the Hubbard Brook bulk precipitation chemistry data base. Technical Report No 260, Series 2, Department of Statistics, Princeton University.
- 46 Oehlert, G.W. (1993). Regional trends in wet sulfate deposition, Journal of the American Statistical Association 88, 390–399.
- 47
Olsen, A.R.
(1989). 1986 wet deposition temporal and spatial patterns in North America. PNL-6933, Pacific Northwest Laboratory, Richland,
Washington.
10.2172/6000707 Google Scholar
- 48 Olsen, A.R., Bigelow, D.S., Clark, T.L., Lusis, M.A., Misra, P.K., Vet, R.J. & Voldner, E.C. (1989). Unified wet deposition data summaries for North America: Data summary procedures and results for 1984, Atmospheric Environment 24A, 661–672.
- 49 Peters, N.E., Schroeder, R.A. & Troutman, D.E. (1982). Temporal Trends in the Acidity of precipitation and sulfate waters of New York. United States Geological Survey Water-Supply Paper 2188, United States Government Printing Office, Washington.
- 50 Pollack, A.K., Hudischewskyj, Stocking, T.S. & Guttorp, P. (1993). Analysis of variability of UAPSP precipitation chemistry measurement, UAPSP Report 118. Utility Acid Precipitation Study Program, EPRI Distribution Center.
- 51 Rhode, H. & Granat, L. (1984). An evaluation of sulfate in European precipitation 1955–1982, Atmospheric Environment 18, 2627–2639.
- 52 Rhode, H. & Rood, M.J. (1986). Temporal evolution of nitrogen compounds in Swedish precipitation since 1955, Nature 321, 762–764.
- 53 Ro, C.U., Tang, A.J.S., Chan, W.H., Kirk, R.W., Reid, N.W. & Lusis, M.A. (1988). Wet and dry deposition of sulfur and nitrogen compounds in Ontario, Atmospheric Environment 22, 2763–2772.
- 54 Ruijgrok, W. & Römer, F.G. (1993). Aspects of wet, acidifying deposition in Armhem: source regions, correlations and trends (1984–1991), Atmospheric Environment 27A, 637–653.
- 55 Schertz, T.L. & Hirsch, R.M. (1985). Trend analysis of weekly acid data – 1978–1983, USGS Water Resources Investigations report 85–4211. US Geological Survey, Reston.
- 56 Seilkop, S.K. (1992). Detection and quantification of anticipated changes in air and precipitation sulfur chemistry associated with the clean air act amendment in 1990, EPA, Atmospheric Research and Exposure Assessment Laboratory, Research Triangle Park.
- 57 Seilkop, S.K. & Finkelstein, P.L. (1987). Acid precipitation patterns and trends in eastern North America, 1980–1984, Journal of Climate and Applied Meteorology 26, 980–994.
- 58 Sen, P.K. (1968). Estimates of the regression coefficient based on Kendall's tau, Journal of the American Statistical Association 63, 1379–1389.
- 59 Shannon, J.D. (1999). Regional trends in wet deposition of sulfate in the United States and SO2 emissions from 1980 through 1995, Atmospheric Environment 33, 807–816.
- 60
Simpson, J.C. &
Olsen, A.R.
(1990).
1987 wet deposition temporal and spatial patterns in North America. PNL-7208,
Pacific Northwest Laboratory,
Richland, Washington.
10.2172/6997229 Google Scholar
- 61 Sirois, A. (1990). The effects of missing data on the calculation of precipitation-weighted-mean concentrations in wet deposition, Atmospheric Environment 24A, 2277–2288.
- 62 Sirois, A. (1993). Temporal variation of sulfate and nitrate concentration in precipitation in eastern North America: 1979–1990, Atmospheric Environment 27A, 945–963.
- 63 Sirois, A. (1997). Temporal variation of oxides of sulphur and nitrogen in ambient air in eastern Canada: 1979–1994, Tellus 49B, 270–291.
- 64 Sirois, A. (1999). A brief and biased overview of time series analysis or how to find that evasive trend, in Proceedings of the WMO/EMEP Workshop on Advanced Statistical Methods and their Application to Air Quality Data Sets, Helsinki, September, 14–18, 1998. WMO/GAW Report No. 133, World Meteorological Organization, Geneva, Switzerland.
- 65 Sirois, A. & Summers, P.W. (1989). An estimation of atmospheric deposition input of sulphur and nitrogen oxides to the Kijimkujik watershed: 1979–1987, Water, Air, and Soil Pollution 46, 29–43.
- 66 Sirois, A., Blanchard, C.L., Whelpdale, D.M. & Michaels, H.M. (1996). The future monitoring capabilities of four network configurations in Eastern Canada, Atmospheric Environment 30, 4115–4124.
- 67 Sisterson, D.L. (1990). Principal Author, National Acid Precipitation Assessment Program report 6-deposition monitoring: methods and results. NAPAP Office, Washington.
- 68 Stein, M.L., Shen, X. & Styer, P.E. (1993). Applications of a simple regression model to acid rain data, The Canadian Journal of Statistics 21, 331–346.
- 69 Styer, P.E. (1994). An illustration of the use of generalized linear models to measure long-term trends in the wet deposition of sulfate, Technical Report 18, National Institute of Statistical Sciences, Research Triangle Park.
- 70 United States Geological Survey (1980). Water Resources Data for New York, US Dept. Of Interior, Geol. Survey-water resources Div., annual records: 1965–1979.
- 71 van Belle, G. & Hughes, J.P. (1984). Nonparametric test for trend in water quality, Water Resources Research 20, 127–136.
- 72 Vet, R.J. (1991). Wet deposition: measurement techniques, in The Handbook of Environmental Chemistry, Vol. 2, Part F, O. Hutzinger, ed., Springer-Verlag, Berlin.
- 73 Wiegand, G., Weigelt, M. & Stahl, H. (1987). Box-Jenkins analysis of the monthly averages for concentration measurements of various air pollutants at different stations, in EMEP-workshop on data analysis and presentation. EMEP/CCC-Report 7/87. Norwegian Institute for Air Research, P.O. Box 100, NO 2027 Kjeller, Norway, pp. 237–262.
- 74 Wu, S. & Zidek, J.V. (1989). Recent trends in the chemistry of precipitation in the United States, SIAM Institute for mathematics and society, Technical Report 130.