Extending one-dimensional models for deep lakes to simulate the impact of submerged macrophytes on water quality

Submerged macrophytes can stabilise clear water conditions in shallow lakes. However, many existing models for deep lakes neglect their impact. Here, we tested the hypothesis that submerged macrophytes can affect the water clarity in deep lakes. A one-dimensional, vertically resolved macrophyte model was developed based on PCLake and coupled to SALMO-1D and GOTM hydrophysics and validated against field data. Validation showed good coherence in dynamic growth patterns and colonisation depths. In our simulations the presence of submerged macrophytes resulted in up to 50% less phytoplankton biomass in the shallowest simulated lake (11?m) and still 15% less phytoplankton was predicted in 100?m deep oligotrophic lakes. Nutrient loading, lake depth, and lake shape had a strong influence on macrophyte effects. Nutrient competition was found to be the strongest biological interaction. Despite a number of limitations, the derived dynamic lake model suggests significant effects of submerged macrophytes on deep lake water quality. Existing models were innovatively combined to study macrophyte effects in deep lakes.Submerged macrophytes can significantly affect the water clarity in deep lakes.This effect depends on lake geometry, depth, and nutrient loading.

[1]  Karline Soetaert,et al.  Inverse Modelling, Sensitivity and Monte Carlo Analysis in R Using Package FME , 2010 .

[2]  The restoration of shallow eutrophic lakes, and the role of northern pike, aquatic vegetation and nutrient concentration , 1990 .

[3]  K. Rinke,et al.  A simulation study of the feedback of phytoplankton on thermal structure via light extinction , 2010 .

[4]  H. Burchard Applied Turbulence Modelling in Marine Waters , 2002 .

[5]  Friedrich Recknagel Applied systems ecology : approach and case studies in aquatic ecology , 1989 .

[6]  Hans Burchard,et al.  Second-order turbulence closure models for geophysical boundary layers. A review of recent work , 2005 .

[7]  M. Scheffer,et al.  Dominance of charophytes in eutrophic shallow lakes : when should we expect it to be an alternative stable state? , 2002 .

[8]  Jan H. Janse A model of nutrient dynamics in shallow lakes in relation to multiple stable states , 1997 .

[9]  S. Hilt,et al.  Facilitation of clear-water conditions in shallow lakes by macrophytes: differences between charophyte and angiosperm dominance , 2013, Hydrobiologia.

[10]  L. Krienitz,et al.  Deep-layer autotrophic picoplankton maximum in the oligotrophic Lake Stechlin, Germany: origin, activity, development and erosion , 1997 .

[11]  G. Andersson,et al.  How important is the crustacean plankton for the maintenance of water clarity in shallow lakes with abundant submerged vegetation , 2000 .

[12]  Marten Scheffer,et al.  Abrupt regime shifts in space and time along rivers and connected lake systems , 2011 .

[13]  J. Köhler,et al.  Plant community structure determines primary productivity in shallow, eutrophic lakes , 2013 .

[14]  Jan Köhler,et al.  Clear, crashing, turbid and back – long‐term changes in macrophyte assemblages in a shallow lake , 2013 .

[15]  J. Kalff,et al.  Interactions among epilimnetic phosphorus, phytoplankton biomass and bacterioplankton metabolism in lakes of varying submerged macrophyte cover , 2003, Hydrobiologia.

[16]  Ewa Pieczyńska,et al.  Detritus and nutrient dynamics in the shore zone of lakes: a review , 1993, Hydrobiologia.

[17]  M. Hupfer,et al.  Lakes and Reservoirs , 2011 .

[18]  J. Talling The underwater light climate as a controlling factor in the production ecology of freshwater phytoplankton: With 14 figures in the text and on 1 folder , 1971 .

[19]  Karline Soetaert,et al.  Solving Differential Equations in R , 2012 .

[20]  W. Boyd,et al.  A simulation model for growth of the submersed aquatic macrophyte Eurasian watermilfoil (Myriophyllum spicatum L.) , 1999 .

[21]  William D. Taylor,et al.  The nearshore phosphorus shunt: a consequence of ecosystem engineering by dreissenids in the Laurentian Great Lakes , 2004 .

[22]  J. Nash,et al.  River flow forecasting through conceptual models part I — A discussion of principles☆ , 1970 .

[23]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[24]  E. Jeppesen,et al.  Trophic dynamics in turbid and clearwater lakes with special emphasis on the role of zooplankton for water clarity , 1999 .

[25]  J. Rücker,et al.  Can submerged macrophytes influence turbidity and trophic state in deep lakes? Suggestions from a case study. , 2010, Journal of environmental quality.

[26]  M. Scheffer,et al.  Alternative equilibria in shallow lakes. , 1993, Trends in ecology & evolution.

[27]  David P. Hamilton,et al.  Challenges and opportunities for integrating lake ecosystem modelling approaches , 2010, Aquatic Ecology.

[28]  I. Blindow,et al.  The composition and density of epiphyton on several species of submerged macrophytes — the neutral substrate hypothesis tested , 1987 .

[29]  K. Bolding,et al.  Modelling of convective turbulence with a two-equation k-ɛ turbulence closure scheme , 2002 .

[30]  Stephen R. Carpenter,et al.  EUTROPHICATION DUE TO PHOSPHORUS RECYCLING IN RELATION TO LAKE MORPHOMETRY, TEMPERATURE, AND MACROPHYTES , 2005 .

[31]  Wolf-Christian Lewin,et al.  Determinants of the distribution of juvenile fish in the littoral area of a shallow lake , 2004 .

[32]  D. Mcfarland,et al.  Interrelationships between the growth of Hydrilla verticillata (L. f.) Royle and sediment nutrient availability , 1988 .

[33]  Judit Padisák,et al.  Chlorophyll a concentration across a trophic gradient of lakes: An estimator of phytoplankton biomass? , 2008 .

[34]  K. Gerald van den Boogaart,et al.  Statistical Methods for the Qualitative Assessment of Dynamic Models with Time Delay (R Package qualV) , 2007 .

[35]  Karline Soetaert,et al.  Solving Differential Equations in R: Package deSolve , 2010 .

[36]  S. Hülsmann,et al.  Predicting the effect of climate change on temperate shallow lakes with the ecosystem model PCLake , 2007, Hydrobiologia.

[37]  S. Carpenter Lake geometry: Implications for production and sediment accretion rates , 1983 .

[38]  E. Donk,et al.  Macrophyte-related shifts in the nitrogen and phosphorus contents of the different trophic levels in a biomanipulated shallow lake , 1993, Hydrobiologia.

[39]  David P. Hamilton,et al.  A community-based framework for aquatic ecosystem models , 2011, Hydrobiologia.

[40]  J. Janse,et al.  Model studies on the eutrophication of shallow lakes and ditches , 2005 .

[41]  F. Gervais,et al.  Do light quality and low nutrient concentration favour picocyanobacteria below the thermocline of the oligotrophic Lake Stechlin , 1997 .

[42]  Karline Soetaert,et al.  Reactive transport in aquatic ecosystems: Rapid model prototyping in the open source software R , 2012, Environ. Model. Softw..

[43]  J. Pokorný,et al.  Production-ecological analysis of a plant community dominated by Elodea canadensis michx , 1984 .

[44]  T. Asaeda,et al.  Does calcite encrustation in Chara provide a phosphorus nutrient sink? , 2006, Journal of environmental quality.

[45]  H. Utermöhl Zur Vervollkommnung der quantitativen Phytoplankton-Methodik , 1958 .

[46]  M. Hootsmans Modelling Potamogeton pectinatus: for better or for worse , 1999 .

[47]  M. Z. Gliwicz Predation and the evolution of vertical migration in zooplankton , 1986, Nature.

[48]  Stefan Sandrock,et al.  Restoration of submerged vegetation in shallow eutrophic lakes – A guideline and state of the art in Germany , 2006 .

[49]  M. Scheffer Ecology of Shallow Lakes , 1997, Population and Community Biology Series.

[50]  H. Behrendt,et al.  Dilemma of Non‐Steady State in Lakes – Development and Predictability of In‐Lake P Concentration in Dimictic Lake Scharmützelsee (Germany) after Abrupt Load Reduction , 2011 .

[51]  S. Diehl FISH PREDATION AND BENTHIC COMMUNITY STRUCTURE - THE ROLE OF OMNIVORY AND HABITAT COMPLEXITY , 1992 .

[52]  W. Granéli,et al.  Influence of Macrophytes on Nitrate Removal in Wetlands , 1994 .

[53]  Alan C. Hindmarsh,et al.  Description and use of LSODE, the Livermore Solver for Ordinary Differential Equations , 1993 .

[54]  R. Portielje,et al.  Relationships between eutrophication variables: from nutrient loading to transparency , 1999 .

[55]  Jürgen Benndorf,et al.  A Contribution to the Phosphorus Loading Concept , 1979 .

[56]  Erik Jeppesen,et al.  Top-down control in freshwater lakes: the role of nutrient state, submerged macrophytes and water depth , 1997 .

[57]  Ellen van Donk,et al.  Can macrophytes be useful in biomanipulation of lakes? The Lake Zwemlust example , 1990, Hydrobiologia.

[58]  Thomas Petzoldt,et al.  SALMO: Die ökologische Komponente des gekoppelten Modells , 2005 .

[59]  Ole Vestergaard,et al.  Macrophyte decline in Danish lakes and streams over the past 100 years , 2000 .

[60]  William E. Schiesser The numerical method of lines , 1991 .

[61]  Jan Köhler,et al.  Lake responses to reduced nutrient loading - an analysis of contemporary long-term data from 35 case studies , 2005 .

[62]  Marten Scheffer,et al.  Estimating the critical phosphorus loading of shallow lakes with the ecosystem model PCLake: Sensitivity, calibration and uncertainty , 2010 .

[63]  J. Vermaat,et al.  Water flow across and sediment trapping in submerged macrophyte beds of contrasting growth form. , 2000 .

[64]  Joseph H. A. Guillaume,et al.  Characterising performance of environmental models , 2013, Environ. Model. Softw..

[65]  F. Barbosa,et al.  Deep layer cyanoprokaryota maxima in temperate and tropical lakes , 2003 .

[66]  D. Lodge,et al.  Avoidance by Daphnia magna of fish and macrophytes: Chemical cues and predator‐mediated use of macrophyte habitat , 1996 .

[67]  E. Jeppesen,et al.  The importance of macrophyte bed size for cladoceran composition and horizontal migration in a shallow lake , 1996 .

[68]  B. Moss,et al.  Prevention of growth of potentially dense phytoplankton populations by zooplankton grazing, in the presence of zooplanktivorous fish, in a shallow wetland ecosystem , 1984 .

[69]  Patricia A. Chambers,et al.  Depth distribution and biomass of submersed aquatic macrophyte communities in relation to Secchi depth , 1985 .

[70]  L. Kufel,et al.  Can Chara control phosphorus cycling in Lake Łuknajno (Poland)? , 1994, Hydrobiologia.

[71]  J. Benndorf,et al.  Problems of application of the ecological model salmo to lakes and reservoirs having various trophic states , 1982 .

[72]  R. Carignan,et al.  Phosphorus Sources for Aquatic Weeds: Water or Sediments? , 1980, Science.

[73]  S. Hilt,et al.  Can allelopathically active submerged macrophytes stabilise clear-water states in shallow lakes? , 2008 .

[74]  Y. Poers,et al.  Culturing of stoneworts and submersed angiosperms with phosphate uptake exclusively from an artificial sediment , 2011 .

[75]  L. Meester,et al.  Influence of nutrients, submerged macrophytes and zooplankton grazing on phytoplankton biomass and diversity along a latitudinal gradient in Europe , 2010, Hydrobiologia.

[76]  S. Körner Nitrifying and Denitrifying Bacteria in Epiphytic Communities of Submerged Macrophytes in a Treated Sewage Channel , 1999 .

[77]  H. Burchard,et al.  A generic length-scale equation for geophysical turbulence models , 2003 .

[78]  L. Kufel,et al.  Chara beds acting as nutrient sinks in shallow lakes—a review , 2002 .

[79]  Stephen R. Carpenter,et al.  Sediment interactions with submersed macrophyte growth and community dynamics , 1991 .

[80]  Stephen R. Carpenter,et al.  Effects of submersed macrophytes on ecosystem processes , 1986 .

[81]  J. Barko,et al.  Effects of Submerged Aquatic Macrophytes on Nutrient Dynamics, Sedimentation, and Resuspension , 1998 .