Abstract
Paleoecological analyses of sediments from nine northern Great Lakes states (NGLS) lakes reveal small pH changes in seven of these lakes since 1860, four of these being declines. The largest diatom-inferred (DI) pH declines of 0.5 pH units were found in Brown L. and Denton L., Wisconsin. Two other lakes with suspected total alkalinity declines (based on an acidification model and on historical water chemistry, respectively), McNearney L., Michigan, and Camp 12 L., Wisconsin, have not acidified recently according to diatom-inference techniques. Many of the observed trends of increasing pH are coincident with logging; floristic composition of diatom assemblages also changed coincident with fisheries manipulations in some lakes, but these floristic trends did not affect DI pH. Sediment core profiles of Pb, S, and polycyclic aromatic hydrocarbons provide a record of atmospheric deposition of fossil fuel combustion products beginning around the turn of the century; onset is later and accumulation rates are smaller than for other northeastern study regions of the Paleoecological Investigation of Recent Lake Acidification (PIRLA) Project. The response of diatom species to lakewater pH in the NGLS region is very strong and similar to response in other regions. Overall, there is little paleoecological evidence that acidic deposition has caused significant acidification of lakes in the NGLS region.
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References
Ainsworth, C. C. & D. Rai, Chemical characterization of fossil fuel combustion wastes. Electric Power Research Institute, Palo Alto, California, USA, 1987.
Anderson, D. S., R. B. Davis & F. Berge, 1986. Relationships between diatom assemblages in lake surface-sediments and limnological characteristics in southern Norway. p. 97–113 in: J. P. Smol, R. W. Battarbee, R. B. Davis & J. Meriläinen, editors. Diatoms and Lake Acidity. Dr. W. Junk, Dordrecht, The Netherlands.
Arzet, K., D. Krause-Dellin & C. Steinberg, 1986. Acidification of four lakes in the Federal Republic of Germany as reflected by diatom assemblages, cladoceran remains, and sediment chemistry. p. 227–250 in: J. P. Smol, R. W. Battarbee, R. B. Davis & J. Meriläinen, editors. Diatoms and Lake Acidity. Dr. W. Junk, Dordrecht, The Netherlands.
Baker, L. A. & P. L. Brezonik, 1988. Dynamic model of in-lake alkalinity generation. Wat. Resour. Res. 24: 65–74.
Baker, L. A., N. R. Urban, P. L. Brezonik & L. A. Sherman, 1989. Sulfur cycling in a seepage lake. p. 79–100 in: E. Saltzman & W. Cooper, editors. Biogenic Sulfur in the Environment. American Chemical Society, Washington, D.C.
Barrie, L. A., K. Anlauf, H. A. Wiebe & P. Fellin, 1984. Acidic pollutants in air and precipitation at selected rural locations in Canada. p. 15–35 in: B. B. Hicks, editor, Deposition Both Wet and Dry. Butterworth Pub., Boston, Massachusetts, USA.
Battarbee, R. W., 1984. Diatom analysis and the acidification of lakes. Phil. Trans. r. Soc. Lond. B 305: 451–477.
Battarbee, R. W. & D. F. Charles, 1987. The use of diatom assemblages in lake sediments as a means of assessing the timing, trends, and causes of lake acidification. Prog. Phys. Geogr. 11: 552–580.
Battarbee, R. W., A. C. Stevenson, B. Rippey, C. Fletcher, J. Natkanski, M. Wik & R. J. Flower, 1989. Causes of lake acidification in Galloway, south-west Scotland: a palaeoecological evaluation of the relative roles of atmospheric contamination and catchment change for two acidified sites with non-afforested catchments. J. Ecol. 77: 651–672.
Battarbee, R. W., R. J. Flower, V. Jones, H.van Dam, K. Arzet, M. Liukkonen, J. Kingston, D. Anderson, F. Round & H. Simola, 1986. Diatoms and acid lakes, report on a workshop. M. Ricard, editor. 8th International Diatom Symposium. Koeltz, Koenigstein, Federal Republic of Germany. p. 747–755.
Binford, M. W., 1990. Calculation and uncertainty analysis of 210Pb dates for PIRLA project lake sediment cores. J. Paleolim. 3: 253–267.
Birks, H. J. B., J. M. Line, S. Juggins, A. C. Stevenson & C. J. F.ter Braak, 1990. Diatoms and pH reconstruction. Phil. Trans. r. Soc. Lond. B 327: 263–278.
Bradbury, J. P., 1975. Diatom stratigraphy and human settlement in Minnesota. Geol. Soc. Am., Special Paper 171, 74 p.
Bradbury, J. P., 1986. Effects of forest fire and other disturbances on wilderness lakes in northeastern Minnesota II. Paleolimnology. Arch. Hydrobiol. 106: 203–217.
Bradbury, J. P. & J. C. B. Waddington, 1973. The impact of European settlement on Shagawa Lake, northeastern Minnesota, USA. p. 289–308 in: H. J. B. Birks & R. G. West, editors. Quaternary Plant Ecology. Blackwells, Oxford.
Brezonik, P. L., L. A. Baker, J. R. Eaton, T. M. Frost, P. Garrison, T. K. Kratz, J. J. Magnuson, W. J. Rose, B. K. Shephard, W. A. Swenson, C. J. Watras & K. E. Webster, 1986. Experimental acidification of Little Rock Lake, Wisconsin. Wat. Air Soil Pollut. 31: 115–121.
Brubaker, L. B., 1975. Postglacial forest patterns associated with till and outwash in northcentral Upper Michigan. Quat. Res. 5: 499–527.
Butler, J. N., 1982. Carbon dioxide equilibria and their application. Addison-Wesley, Reading Massachusetts. 259 p.
Cadle, S. H., J. M. Dasch & N. E. Grossnickle, 1984. Northern Michigan snowpack — a study of acid stability and release. Atmos. Environ. 18: 807–816.
Camburn, K. E. & J. C. Kingston, 1986. The genus Melosira from soft-water lakes with special reference to northern Michigan, Wisconsin and Minnesota. p. 17–34 in: J. P. Smol, R. W. Battarbee, R. B. Davis & J. Meriläinen, editors. Diatoms and Lake Acidity. Dr. W. Junk, Dordrecht, The Netherlands.
Camburn, K. E., J. C. Kingston & D. F. Charles, editors, 1984–1986. PIRLA Diatom Iconograph. PIRLA Unpublished Report Series, Report Number 3. Department of Biology, Indiana University, Bloomington, Indiana, USA. 53 photographic plates, legends, corrections.
Carignan, R. & A. Tessier, 1985. Zinc deposition in acid lakes: the role of diffusion. Science 228: 1524–1526.
Charles, D. F. & S. A. Norton, 1986. Paleolimnological evidence for trends in atmospheric deposition of acids and metals. Chapter 9 in. National Research Council. Acid Deposition Long-term Trends. National Academy Press, Washington, D.C., USA. p. 335–431.
Charles, D. F. & D. R. Whitehead, editors, 1986. Paleoecological investigation of recent lake acidification, methods and project description. EPRI EA-4906, Electric Power Research Institute, Palo Alto, California, USA.
Charles, D. F., M. W. Binford, E. T. Furlong, R. A. Hites, M. J. Mitchell, S. A. Norton, F. Oldfield, M. J. Paterson, J. P. Smol, A. J. Uutala, J. R. White, D. R. Whitehead & R. J. Wise, 1990. Paleoecological investigation of recent lake acidification in the Adirondack Mountains. N.Y. J. Paleolim. 3: 195–241.
Cook, R. B. & H. I. Jager, 1990. Upper Midwest: The effects of acidic deposition on lakes. In: D. F. Charles, editor. Acid Deposition and Aquatic Ecosystems: Regional Case Studies. Springer-Verlag, New York. (in press).
Cook, R. B. & J. J. Kahl, 1986. Water chemistry quality assurance for the Paleoecological Investigation of Recent Lake Acidification (PIRLA) Project. PIRLA Unpublished Report Series, Report Number 4. Department of Biology, Indiana University, Bloomington, Indiana, USA. 42 p.
Cook, R. B., C. A. Kelley, J. C. Kingston & R. G. KreisJr., 1987. Chemical limnology of soft water lakes in the Upper Midwest. Biogeochemistry 4: 97–117.
Cook, R. B., R. G. KreisJr., J. C. Kingston, K. E. Camburn, S. A. Norton, M. Mitchell, B. D. Fry & L. C. Shane, 1990. Paleolimnology of McNearney Lake: an acidic lake in northern Michigan. J. Paleolim. 3: 13–34.
Craig, A. J., 1972. Pollen influx to laminated sediments: a pollen diagram from northeastern Minnesota. Ecology 53: 46–57.
Curtis, J. T., 1959. The vegetation of Wisconsin. University of Wisconsin Press, Madison, Wisconsin, USA. 657 p.
Davis, M. B., K. D. Woods, S. L. Webb & R. P. Futyma, 1986. Dispersal versus climate: expansion of Fagus and Tsuga into the Upper Great Lakes region. Vegetatio 67: 93–103.
Davis, R. B., S. A. Norton, C. T. Hess & D. F. Brakke, 1983. Paleolimnological reconstruction of the effects of atmospheric deposition of acids and heavy metals on the chemistry and biology of lakes in New England and Norway. Hydrobiologia 103: 113–123.
Davis, R. B., S. A. Norton, J. S. Kahl, D. S. Anderson, L. C. Bacon, G. M. Blake, M. L. Morrison, B. P. Patterson, M. C. Whiting, R. A. Hites, L. A. Roll, M. J. Mitchell, J. S. Owen, S. C. Schindler, J. P. Smol & S. S. Dixit, 1989. A comparative paleolimnological study of the impacts of air pollution on three northern New England lakes: preliminary results. Chapter 7 in: D. F. Charles & D. R. Whitehead, eds. Paleoecological Investigation of Recent Lake Acidification (PIRLA): 1983–1985. Electric Power Research Institute, Palo Alto, California, USA.
Davis, R. B., D. S. Anderson, M. C. Whiting, J. P. Smol & S. S. Dixit, 1990. Alkalinity and pH of three lakes in northern New England, U.S.A. over the past 300 years. Phil. Trans. r. Soc. Lond. B. 327: 413–421.
Draper, N. R. & H. Smith, 1981. Applied regression analysis. John Wiley & Sons, New York, New York, USA.
Eilers, J. M., G. E. Glass, K. E. Webster & J. A. Rogalla, 1983. Hydrologic control of lake susceptibility to acidification. Can. J. Fish. aquat. Sci. 40: 1896–1904.
Eilers, J. M., D. F. Brakke & D. H. Landers, 1988. Chemical and physical characteristics of lakes in the upper midwest, United States. Envir. Sci. Technol. 22: 164–172.
Eilers, J. M., G. E. Glass, A. K. Pollack & J. A. Sorensen, 1989. Changes in conductivity alkalinity, calcium, and pH during a 50-year period in selected northern Wisconsin lakes. Can. J. Fish. aquat. Sci. 46: 1929–1944.
Flower, R. J., 1986. The relationship between surface sediment diatom assemblages and pH in 33 Galloway lakes: some regression models for reconstructing pH and their application to sediment cores. Hydrobiologia 143: 93–103.
Fries, M., 1962. Pollen profiles of late Pleistocene and recent sediments from Weber Lake, Minnesota. Ecology 43: 295–308.
Fry, B., 1986. Stable sulfur isotopic distributions and sulfate reduction in lake sediments of the Adirondack Mountains, New York. Biogeochemistry 2: 329–343.
Fry, B., 1990. Stable isotopic compositions of sulfur in PIRLA sediment cores. J. Paleolim. 4: 23–29.
Furlong, E. T., L. R. Cessar & R. A. Hites, 1987. Accumulation of polycyclic aromatic hydrocarbons in acid sensitive lakes. Geochimica et Cosmochimica Acta 51: 2965–2975.
Futyma, R. P., 1982. Postglacial vegetation of eastern Upper Michigan. Ph.D. dissertation, University of Michigan, Ann Arbor. 337 p.
Glass, G. E. & O. L. Loucks, 1986. Implications of a gradient in acid and ion deposition across the northern Great Lakes states. Envir. Sci. Technol. 20: 35–43.
Gorham, E., W. E. Dean & J. E. Sanger, 1983. The chemical composition of lakes in the north-central United States. Limnol. Oceanogr. 28: 287–301.
Hanson, D. W. & S. A. Norton, 1982. Spatial and temporal trends in the chemistry of atmospheric deposition in New England. International Symposium on Hydrometeorology, Am. Wat. Res. Assoc. p. 25–33.
Henriksen, A., 1982. Changes in base cation concentrations due to freshwater acidification. Acid Rain Research Report OF-81623. Norwegian Institute for Water Research, Oslo, Norway. 50 p.
Henriksen, A., 1984. Changes in base cation concentrations due to freshwater acidification. Verh. int. Ver. Limnol. 22: 692–698.
Husar, R. B., 1986. Emissions of sulfur dioxide and nitrogen oxides and trends for eastern North America. Chapter 2 in: National Research Council. Acid Deposition Long-term Trends. National Academy Press, Washington, D.C. USA, p. 48–92.
Husar, R. B., T. J. Sullivan & D. F. Charles, 1990. Historical trends in atmospheric sulfur deposition and methods for assessing long-term trends in surface water chemistry. In D. F. Charles, editor. Acid Deposition and Aquatic Ecosystems: Regional Case Studies. Springer-Verlag, New York. (in press).
Jongman, R. H. G., C. J. F.ter Braak & O. F. R.van Tongeren, 1987. Data analysis in community and landscape ecology. Pudoc, Wageningen, The Netherlands. 299 p.
Kahl, J. S. & S. A. Norton, 1983. Metal input and mobilization in two acid-stressed lake watersheds in Maine. Land and Water Resources Center, University of Maine, Orono. OWRT Completion Report A-053. 70 p.
Kelly, C. A., J. W. M. Rudd, R. H. Hesslein, C. T. Driscoll, S. A. Gherini & R. E. Hecky, 1987. Prediction of biological acid neutralization in acid-sensitive lakes. Biogeochemistry 3: 129–140.
King, F. A., 1981. Minnesota logging railroads. Golden West Books, San Marino, California, 206 pp.
King, G. A., 1986. Disturbance history of ten Upper Midwest watersheds: ecological analysis of terrestrial plants at NGLS paleoecology sites. PIRLA Unpublished Report Series, Report Number 2. Department of Biology, Indiana University, Bloomington, Indiana, USA. 75 p.
Kingston, J. C., K. E. Camburn, R. G. KreisJr. & R. B. Cook, 1989. Diatom distribution and association in soft-water lakes of Minnesota, Wisconsin, and Michigan Chapter 9 in: D. F. Charles & D. R. Whitehead, eds. Paleoecological Investigation of Recent Lake Acidification (PIRLA): 1983–1985. Electric Power Research Institute, Palo Alto, California, USA.
Kingston, J. C. & H. J. B. Birks, 1990. Dissolved organic carbon reconstructions from diatom assemblages in PIRLA project lakes, North America. Phil. Trans. r. Soc. Lond. B. 327: 279–288 + microfiche.
Kreis, R. G.Jr., 1989. Variability Study—interim results. Chapter 4 in: D. F. Charles & D. R. Whitehead, eds. Paleoecological Investigation of Recent Lake Acidification (PIRLA): 1983–1985. Electric Power Research Institute, Palo Alto, California, USA.
Kreis, R. G.Jr., J. C. Kingston, K. E. Camburn & R. B. Cook, 1989. Diatom-pH relationships in the northern Great Lakes region for predicting past lake acidity. Chapter 10 in: D. F. Charles & D. R. Whitehead, eds. Paleoecological Investigation of Recent Lake Acidification (PIRLA): 1983–1985. Electric Power Research Institute, Palo Alto, California, USA.
Kuchler, A. W., 1964. Potential natural vegetation of the conterminous United States (Map and manual). American Geographical Society Special Publication 36. 116 p.
Landers, D. H., J. M. Eilers, D. F. Brakke & P. E. Kellar, 1988. Characteristics of acidic lakes in the eastern United States. Verh. int. Ver. Limnol. 23: 152–162.
Linsey, G. A., D. W. Schindler & M. P. Stainton, 1987. Atmospheric deposition of nutrients and major ions at the Experimental Lakes Area, northwestern Ontario, in 1970–1982. Can. J. Fish. aquat. Sci. 44 (Supplement 1): 206–214.
Linthurst, R. A., D. H. Landers, J. M. Eilers, D. F. Brakke, W. S. Overton, E. P. Meier & R. E. Crowe, 1986. Characteristics of lakes in the eastern United States. Volume 1. Population Descriptions and Physico-chemical relationships. EPA/600/4–86/007a, USEPA, Washington, D.C., USA. 136 p.
Lipsey, L. L.Jr., 1988. Preliminary results of a classification of fifty-one selected northeastern Wisconsin lakes (USA) using indicator diatom species. Hydrobiologia 166: 205–216.
Maguire, B.Jr., 1963. The passive dispersal of small aquatic organisms and their colonization of isolated bodies of water. Ecol. Monogr. 33: 161–185.
Marschner, F. J., 1974. The original vegetation of Minnesota (map). United States Forest Service, North Central Experiment Station, St. Paul, Minnesota, USA.
Mitchell, M. J., S. C. Schindler, J. S. Owen & S. A. Norton, 1988. Comparison of sulfur concentrations within lake sediment profiles. Hydrobiologia 157: 219–229.
Mitchell, M. J., J. S. Owen & S. S. Schindler, 1990. Factors affecting sulfur incorporation into lake sediments: paleoecological implications. J. Paleolim. 4: 1–22.
Norton, S. A., 1983. The chemical role of lake sediments during lake acidification and deacidification. Proceedings of the 11th Nordic Symposium on Sediments, University of Oslo, Norway. p. 7–19.
Norton, S. A., R. W. Bienert, M. W. Binford & J. S. Kahl, submitted. The stratigraphy of total metals in PIRLA sediment cores. J. Paleolim.
Norton, S. A., M. J. Mitchell, J. S. Kahl & G. F. Brewer, 1988. In-lake alkalinity generation by sulfate reduction: a paleolimnological assessment. Wat. Air Soil Pollut. 39: 33–45.
Nriagu, J. O. & Y. K. Soon, 1985. Distribution and isotopic composition of sulfur in lake sediments of northern Ontario. Geochim. Cosmochim. Acta 49: 823–834.
Oksanen, J., E. Läärä, P. Huttunen & J. Meriläinen, 1988. Estimation of pH optima and tolerances of diatoms in lake sediments by the methods of weighted averaging, least squares and maximum likelihood, and their use for the prediction of lake acidity. J. Paleolim. 1: 39–49.
Oliver, B. G., E. M. Thurman & R. L. Malcolm, 1983. The contribution of humic substances to the acidity of colored natural waters. Geochim. Cosmochim. Acta 47: 2031–2035.
Pillsbury, R. W. & J. C. Kingston, 1990. The pH-independent effect of aluminum on cultures of phytoplankton from an acidic Wisconsin lake. Hydrobiologia 194: 225–233.
Rapp, G.Jr., J. D. Allert, B. W. Liukkonen, J. A. Ilse, O. L. Loucks & G. E. Glass, 1985. Acid deposition and watershed characteristics in relation to lake chemistry in northeastern Minnesota. Envir. Int. 11: 425–440.
Rapp, G.Jr., B. W. Liukkonen, J. D. Allert, J. A. Sorensen, G. E. Glass & O. L. Loucks, 1987. Geologic and atmospheric input factors affecting watershed chemistry in upper Michigan. Envir. Geol. Wat. Sci. 9: 155–171.
Renberg, I. & T. Hellberg 1982. The pH history of lakes in southwestern Sweden, as calculated from the subfossil diatom flora of the sediments. Ambio 11: 30–33.
Reuss, J. O., 1983. Implications of the calcium-aluminum exchange system for the effect of acid precipitation in soils. J. envir. Qual. 12: 591–595.
Rushforth, S. R., L. E. Squires & C. E. Cushing, 1986. Algal communities of springs and streams in the Mt. St. Helens Region, Washington, U.S.A. following the May 1980 eruption. J. Phycol. 22: 129–137.
Schindler, D. W., R. H. Hesslein, R. Wagemann & W. S. Broecker, 1980. Effects of acidification on mobilization of heavy metals and radionuclides from the sediment of a freshwater lake. Can. J. Fish. aquat. Sci. 37: 373–377.
Schnoor, J. L., N. P. Nikolaidis & G. E. Glass, 1986. Lake resources at risk to acidic deposition in the upper midwest. J. Wat. Pollut. Cont. Fed. 58: 139–148.
Shane, L. C. K., 1987. Northern Great Lakes States pollen and charcoal data. PIRLA Unpublished Report Series, Report Number 9. Department of Biology, Indiana University, Bloomington, Indiana, USA. 105 p.
Sicko-Goad, L., E. F. Stoermer & J. P. Kociolek, 1989. Diatom resting cell rejuvenation and formation: time course, species records and distribution. J. Plankton Res. 11: 375–389.
Stevenson, A. C., H. J. B. Birks, R. J. Flower & R. W. Battarbee, 1989. Diatom-based pH reconstruction of lake acidification using canonical correspondence analysis. Ambio 18: 228–233.
Stumm, W. & J. J. Morgan; 1981. Aquatic chemistry. 2 Ed. Wiley-Interscience, New York.
Sweets, P. R., R. W. Bienert, T. L. Crisman & M. W. Binford, 1990. Paleoecological investigation of recent lake acidification in Northern Florida. J. Paleolim. 4: 103–137.
ter Braak, C. J. F., 1986. Canonical correspondence analysis: a new eigenvector technique for multivariate direct gradient analysis. Ecology 67: 1167–1179.
ter Braak, C. J. F., 1987a. The analysis of vegetation-environment relationships by canonical correspondence analysis. Vegetatio 69: 69–77.
ter Braak, C. J. F., 1987b. CANOCO — a FORTRAN program for canonical community ordination by [partial] [detrended] [canonical] correspondence analysis, principal components analysis and redundancy analysis (version 2.1). TNO Institute of Applied Computer Science, Wageningen, The Netherlands.
ter Braak, C. J. F. & L. G. Barendregt, 1986. Weighted averaging of species indicator values: its efficiency in environmental calibration. Math. Biosci. 78: 57–72.
ter Braak, C. J. F. & C. I. Prentice, 1988. A theory of gradient analysis. Adv. ecol. Res. 18: 271–317.
ter Braak, C. J. F. & H.van Dam, 1989. Inferring pH from diatoms: a comparison of old and new calibration methods. Hydrobiologia 178: 209–223.
Webb, T.III., 1974. A vegetational history from northern Wisconsin: evidence from modern and fossil pollen. Am. Midl. Nat. 92: 12–34.
White, J. R. & C. T. Driscoll, 1985. Lead cycling in acidic Adirondack lake. Envir. Sci. Technol. 19: 1182–1187.
White, J. R. & C. T. Driscoll, 1987. Zinc cycling in an acid Adirondack lake. Envir. Sci. Technol. 21: 211–216.
Whitehead, D. R., D. F. Charles & R. A. Goldstein, 1990. The PIRLA project (Paleoecological Investigation of Recent Lake Acidification): an introduction to the synthesis of the project. J. Paleolim. 3: 187–194.
Wiener, J. G. & J. M. Eilers, 1987. Chemical and biological status of lakes and streams in the Upper Midwest: assessment of acidic deposition effects. Lake Reserv. Manage. 3: 365–378.
Wonson-Liukkonen, B., 1987. Geochemistry of two small lakes in northeastern Minnesota in relation to atmospheric inputs. M.S. thesis, University of Minnesota Duluth, MN.
Wonson-Liukkonen, B. & J. K. Huber, 1987. A paleoecological reconstruction from August Lake, Lake County, Minnesota. Current Research in the Pleistocene 4: 98–100.
Wright, H. E., Jr., 1981. The role of fire in land/water interactions p. 421–444 in: Fire regimes and ecosystem properties. U.S. Forest Service, General Technical Report WO-26.
Wright, H. E.Jr., 1983. Late-Quaternary Environments of the United States. Volume 2. The Holocene, University of Minnesota Press, Minneapolis.
Wright, R. F., 1976. The impact of forest fire on the nutrient influxes to small lakes in northeastern Minnesota. Ecology 57: 649–663.
Wright, R. F., 1982. Predicting acidification of North American lakes. Norwegian Institute of Water Research, Oslo, Norway. 165 p.
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This is the twelfth of a series of papers to be published by this journal which is a contribution of the Paleoecological Investigation of Recent Lake Acidification (PIRLA) project. Drs. D.F. Charles and D.R. Whitehead are guest editors for this series.
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Kingston, J.C., Cook, R.B., Kreis, R.G. et al. Paleoecological investigation of recent lake acidification in the northern Great Lakes states. J Paleolimnol 4, 153–201 (1990). https://doi.org/10.1007/BF00226322
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DOI: https://doi.org/10.1007/BF00226322