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Phosphorus loading, transport and concentrations in a lake chain: a probabilistic model to compare management options

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Abstract

Phosphorus (P) loading, exports and concentrations of the four lakes of the Yahara chain (Wisconsin, USA) were compared under four load-reduction plans using a model calibrated with 29–33 years of annual data. P mitigation goals must balance reductions in P concentrations in the four lakes and the export from the lake chain to downstream waters. Lake Mendota, the uppermost lake, is most responsive to P load reductions, and benefits diminish downstream. Nonetheless, the greatest reductions in export from the lake chain to downstream waters derive from P load reductions to lakes lower in the chain. The effective grazer Daphnia pulicaria causes large improvements in water quality. Management to maintain populations of D. pulicaria has substantial benefits that augment those from reductions in P loading. Model projections show high variability in water quality and exports under all load-reduction plans. This variability is driven by inter-annual variation in runoff. Thus lake managers and the public should expect ongoing year-to-year variability in water quality, even though P load mitigation will improve water quality on average. Because of high variability from year to year, ongoing monitoring is essential to assess the effects of management of this chain of lakes.

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References

  • Alvarez-Cobelas M, Cirujano S, Rojo C, Rodrigo MA, Piña E, Rodríguez-Murillo JC, Montero E (2006) Effects of changing rainfall on the limnology of a Mediterranean, flowthrough-seepage chain of lakes. Int Rev Hydrobiol 91(5):466–482. doi:10.1002/iroh.200510836

    Article  Google Scholar 

  • Belmont MA, White JR, Reddy KR (2009) Phosphorus sorption and potential phosphorus storage in sediments of Lake Istokpoga and the Upper Chain of Lakes, Florida, USA. J Environ Qual 38(3):987–996. doi:10.2134/jeq2007.0532

    Article  CAS  PubMed  Google Scholar 

  • Box GEP, Tiao GC (1973) Bayesian inference in statistical analysis. Wiley, New York

    Google Scholar 

  • Cardille JA, Carpenter SR, Coe MT, Foley JA, Hanson PC, Turner MG, Vano JA (2007) Carbon and water cycling in lake-rich landscapes: landscape connections, lake hydrology, and biogeochemistry. J Geophys Res 112

  • Carpenter S, Lathrop R (2008) Probabilistic estimate of a threshold for eutrophication. Ecosystems 11(4):601–613. doi:10.1007/s10021-008-9145-0

    Article  CAS  Google Scholar 

  • Carpenter SR, Lathrop RC, Nowak P, Bennett EM, Reed T, Soranno PA (2006) The ongoing experiment: restoration of Lake Mendota and its watershed. In: Magnuson JJ, Kratz TK, Benson BJ (eds) Long-term dynamics of lakes in the landscape. Oxford University Press, London

    Google Scholar 

  • Carpenter SR, Benson BJ, Biggs R, Chipman JW, Foley JA, Golding SA, Hammer RB, Hanson PC, Johnson PTJ, Kamarainen AM, Kratz TK, Lathrop RC, McMahon KD, Provencher B, Rusak JA, Solomon CT, Stanley EH, Turner MG, Vander Zanden MJ, Wu C-H, Yuan H (2007) Understanding regional change: a comparison of two lake districts. Bioscience 57(4):323–335. doi:10.1641/b570407

    Article  Google Scholar 

  • Chapra SC, Reckhow KH (1983) Engineering approaches for lake management. Mechanistic modeling, vol 2. Butterworth, Boston

  • Choulik O, Moore TR (1992) Response of a subarctic lake chain to reduced sewage loading. Can J Fish Aquat Sci 49(6):1236–1245. doi:10.1139/f92-139

    Article  Google Scholar 

  • Einola E, Rantakari M, Kankaala P, Kortelainen P, Ojala A, Pajunen H, Mäkelä S, Arvola L (2011) Carbon pools and fluxes in a chain of five boreal lakes: a dry and wet year comparison. J Geophys Res Biogeosci 116 (G3):G03009. doi:10.1029/2010jg001636

  • Epstein D, Neilson B, Goodman K, Stevens D, Wurtsbaugh W (2013) A modeling approach for assessing the effect of multiple alpine lakes in sequence on nutrient transport. Aquat Sci 75(2):199–212. doi:10.1007/s00027-012-0267-2

    Article  CAS  Google Scholar 

  • Fisher MM, Miller SJ, Chapman AD, Keenan LW (2009) Phytoplankton dynamics in a chain of subtropical blackwater lakes: the Upper St, Johns River, Florida, USA. Lake Reservoir Manage 25(1):73–86

    Article  Google Scholar 

  • Forbes SA (1887) The lake as a microcosm. Ill Natural Hist Survey Bull 15(9):537–550

    Google Scholar 

  • Frisk T, Niemi JS, Kinnunen KAI (1981) Comparison of statistical phosphorus-retention models. Ecol Model 12(1–2):11–27. doi:http://dx.doi.org/10.1016/0304-3800(81)90022-3

    Google Scholar 

  • Gassman PW, Reyes MR, Green CH, Arnold JG (2007) The soil and water assessment tool: historical development, applications, and future research directions. Trans Am Soc Agric Biol Eng 50:1211–1250

    CAS  Google Scholar 

  • Gelman A, Carlin JB, Stern HS, Rubin DB (2004) Bayesian data analysis. Chapman and Hall, New York

    Google Scholar 

  • Hillbricht-Ilkowska A (2002) Eutrophication rate of lakes in the Jorka river system (Masurian Lakeland, Poland): long-term changes and trophic correlations. Polish J Ecol 50(4):475–487

    Google Scholar 

  • Hilt S, Köhler J, Kozerski H-P, van Nes EH, Scheffer M (2011) Abrupt regime shifts in space and time along rivers and connected lake systems. Oikos 120(5):766–775. doi:10.1111/j.1600-0706.2010.18553.x

    Article  Google Scholar 

  • Kitchell JF (ed) (1992) Food web management: a case study of Lake Mendota. Springer, New York

    Google Scholar 

  • Kling GW, Kipphut GW, Miller MM, O’Brien WJ (2000) Integration of lakes and streams in a landscape perspective: the importance of material processing on spatial patterns and temporal coherence. Freshw Biol 43(3):477–497. doi:10.1046/j.1365-2427.2000.00515.x

    Article  Google Scholar 

  • Lathrop RC (2007) Perspectives on the eutrophication of the Yahara lakes. Lake Reservoir Manage 23:345–365

    Article  Google Scholar 

  • Lathrop RC, Carpenter SR (2013) Water quality implications from three decades of phosphorus loads and trophic dynamics in the Yahara chain of lakes. Inland Waters 3 (in press)

  • Lathrop RC, Carpenter SR, Stow CA, Soranno PA, Panuska JC (1998) Phosphorus loading reductions needed to control blue-green algal blooms in Lake Mendota. Can J Fish Aquat Sci 55(5):1169–1178. doi:10.1139/f97-317

    Article  CAS  Google Scholar 

  • Lathrop RC, Carpenter SR, Robertson DM (1999) Summer water clarity responses to phosphorus, Daphnia grazing and internal mixing in Lake Mendota. Limnol Oceanogr 44:137–146

    Article  Google Scholar 

  • Lathrop RC, Johnson BM, Johnson TB, Vogelsang MT, Carpenter SR, Hrabik TR, Kitchell JF, Magnuson JJ, Rudstam LG, Stewart RS (2002) Stocking piscivores to improve fishing and water clarity: a synthesis of the Lake Mendota biomanipulation project. Freshw Biol 47(12):2410–2424. doi:10.1046/j.1365-2427.2002.01011.x

    Article  Google Scholar 

  • Leavitt PR, Brock CS, Ebel C, Patoine A (2006) Landscape-scale effects of urban nitrogen on a chain of freshwater lakes in central North America. Limnol Oceanogr 51(5):2262–2277

    Article  CAS  Google Scholar 

  • Magnuson JJ (2002) Three generations of limnology at the University of Wisconsin-Madison. Verh Internat Verein Limnol 28:856–860

    Google Scholar 

  • Magnuson JJ, Kratz TK, Benson BJ (eds) (2006) Long-term dynamics of lakes in the landscape. Oxford University Press, Oxford

    Google Scholar 

  • Pace ML, Groffman PM (eds) (1998) Successes, frontiers and limitations in ecosystem science. Springer, New York

    Google Scholar 

  • Pitt R, Voorhees J (2002) SLAMM, the source loading and management model. In: Field R, Sullivan D (eds) Wet-weather flow in the urban watershed: technology and management. CRC Press, Boca Raton, pp 103–139

    Google Scholar 

  • Reckhow KH, Chapra SC (1983) Engineering approaches for lake management. Data analysis and empirical modeling, vol 1. Butterworth, Boston

  • Sadro S, Nelson C, Melack J (2012) The influence of landscape position and catchment characteristics on aquatic biogeochemistry in high-elevation lake-chains. Ecosystems 15(3):363–386. doi:10.1007/s10021-011-9515-x

    Article  CAS  Google Scholar 

  • Soranno PA, Webster KE, Riera JL, Kratz TK, Baron JS, Bukaveckas PA, Kling GW, White DS, Caine N, Lathrop RC (1999) Spatial variation among lakes within landscapes: ecological organization along lake chains. Ecosystems 2(5):395–410

    Article  CAS  Google Scholar 

  • Soranno PA, Spence Cheruvelil K, Webster KE, Bremigan MT, Wagner T, Stow CA (2010) Using landscape limnology to classify freshwater ecosystems for multi-ecosystem management and conservation. Bioscience 60(6):440–454. doi:10.1525/bio.2010.60.6.8

    Article  Google Scholar 

Download references

Acknowledgments

Our work was supported by the US National Science Foundation through the North Temperate Lakes Long-Term Ecological Research Program and the Water Science and Sustainability program, and by the Wisconsin Department of Natural Resources.

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Correspondence to Stephen R. Carpenter.

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Carpenter, S.R., Lathrop, R.C. Phosphorus loading, transport and concentrations in a lake chain: a probabilistic model to compare management options. Aquat Sci 76, 145–154 (2014). https://doi.org/10.1007/s00027-013-0324-5

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