Time-scale dependence in numerical simulations: Assessment of physical, chemical, and biological predictions in a stratified lake at temporal scales of hours to months

Environmental Modelling and Software

Volumn 35, Issue , 2012, Pages 104-121

  Kara, Emily L ^a   Hanson, Paul ^b   Hamilton, David ^c   Hipsey, Matthew R ^d   McMahon, Katherine D ^a,b   Read, Jordan S ^a   Winslow, Luke ^b   Dedrick, John ^b   Rose, Kevin ^e   Carey, Cayelan C ^f   Bertilsson, Stefan ^g   da Motta Marques, David ^h   Beversdorf, Lucas ^a   Miller, Todd ^a   Wu, Chin ^a   Hsieh, Yi Fang ^a   Gaiser, Evelyn ⁱ   Kratz, Tim ^b  

^a University of Wisconsin Madison   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

^c UNIVERSITY OF WAIKATO   (New Zealand)

^d UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^e SMITHSONIAN ENVIRONMENTAL RESEARCH CENTER   (United States)

^f Department of Molecular Biology and Genetics   (United States)

^g UPPSALA UNIVERSITY   (Sweden)

^h FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

ⁱ FLORIDA INTERNATIONAL UNIVERSITY   (United States)

Author keywords

Automated observatory; Ecosystem modeling; Phytoplankton; Sensor network; Spectral analysis; Wavelet analysis

Indexed keywords

ACCURATE PREDICTION; AQUATIC ECOSYSTEM; AUTOMATED SENSORS; BIOLOGICAL CHANGES; BIOLOGICAL VARIABLES; CHLOROPHYLL FLUORESCENCE; ECOSYSTEM MODELING; GOODNESS OF FIT; HIGH FREQUENCY DATA; HIGH FREQUENCY HF; IN-SILICO; IN-SITU; MODEL PREDICTION; OBSERVATIONAL DATA; PHYTOPLANKTON BIOMASS; PREDICTIVE ABILITIES; REMOTE SENSING PLATFORMS; SHORT TERM PREDICTION; SPATIAL HETEROGENEITY; SPECTRAL CHARACTERISTICS; STRATIFIED LAKES; TEMPORAL SCALE; TIME AND FREQUENCY DOMAINS; TIME DOMAIN; TIME-SCALE DEPENDENCE; TIME-SCALES; VARYING PARAMETERS; WISCONSIN;

AUTOMATION; FORECASTING; LAKES; PHYTOPLANKTON; REMOTE SENSING; SENSOR NETWORKS; SPECTRUM ANALYSIS; TIME MEASUREMENT; WAVELET ANALYSIS;

RATING;

BIOGEOCHEMISTRY; BIOMASS; CALIBRATION; CHLOROPHYLL; DATA SET; DISSOLVED OXYGEN; ECOSYSTEM MODELING; HETEROGENEITY; HYDRODYNAMICS; LAKE ECOSYSTEM; LAKE WATER; NUMERICAL MODEL; PARAMETERIZATION; PHYTOPLANKTON; PREDICTION; SENSOR; SPECTRAL ANALYSIS; STRATIFICATION; TEMPORAL ANALYSIS; WAVELET ANALYSIS;

LAKE MENDOTA; UNITED STATES; WISCONSIN;

EID: 84862787521     PISSN: 13648152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.envsoft.2012.02.014     Document Type: Article

References (117)

1. Alewell C., Manderscheid B. Use of objective criteria for the assessment of biogeochemical ecosystem models. Ecological Modelling 1998, 107(2-3):213-224.
2. Alexander R., Imberger J. Spatial distribution of motile phytoplankton in a stratified reservoir: the physical controls on patch formation. Journal of Plankton Research 2009, 31(1):101-118.
3. Andersen T., Hessen D.O. Carbon, nitrogen and phosphorus content of freshwater zooplankton. Limnology and Oceanography 1991, 36(4):807-814.
4. Arhonditsis G.B., Brett M.T. Evaluation of the current state of mechanistic aquatic biogeochemical modeling. Marine Ecology-Progress Series 2004, 271:13-26.
5. Arhonditsis G.B., Brett M.T. Eutrophication model for Lake Washington (USA) Part I. Model description and sensitivity analysis. Ecological Modelling 2005, 187(2-3):140-178.
6. Arhonditsis G.B., Brett M.T. Eutrophication model for Lake Washington (USA) Part II - model calibration and system dynamics analysis. Ecological Modelling 2005, 187(2-3):179-200.
7. Beck M.B., Gupta H., Rastetter E., Shoemaker C., Tarboton D., Butler D., Edelson D., Graber H., Gross L., Harmon T., McLaughlin D., Paola C., Peters D., Scavia D., Schnoor J.L., Weber L. Grand Challenges of the Future for Environmental Modeling. Warnell School of Forestry and Natural Resources 2009, University of Georgia, Arlington, VA.
8. Beckel A.L. Breaking New Waters: A Century of Limnology at the University of Wisconsin, Transaction of the Wisconsin Academy of Sciences, Arts, and Letters 1987, Madison, WI.
9. Bertilsson J., Berzins B., Pejler B. The occurrence of limnic microcrustaceans in relation to temperature and oxygen. Hydrobiologia 1995, 299(2):163-167.
10. Birge E.A. The Heat Budgets of American and European Lakes. Transaction of the Wisconsin Academy of Sciences, Arts, and Letters 1915, Madison, WI, pp. 116-213.
11. Birge E.A., Juday C. The Inland Lakes of Wisconsin: The Dissolved Gases of the Water and Their Biological Significance. Wisconsin Geological and Natural History Survey Bulletin 22 Scientific Series No. 7 1911, Madison, WI.
12. Blukacz E.A., Shuter B.J., Sprules W.G. Towards understanding the relationship between wind conditions and plankton patchiness. Limnology and Oceanography 2009, 54(5):1530-1540.
13. Brock T.D. A Eutrophic Lake, Lake Mendota, WI 1985, Springer-Verlag, New York. first ed.
14. Butler J.N. Carbon Dioxide Equilibria and Their Applications 1982, Addison-Wesley.
15. Butterwick C., Heaney S.I., Talling J.F. Diversity in the influence of temperature on the growth rates of freshwater algae, and its ecological relevance. Freshwater Biology 2005, 50(2):291-300.
16. Carmichael W.W. Health effects of toxin producing cyanobacteria: "The Cyanohabs" Freshwater Harmful Algal Blooms: Health Risk and Control Management 2002, 70-80. Istituto Superiore di Sanità Istituto Superiore di Sanità, Rome, Italy. S. Melchiorre, E. Viaggiu, M. Bruno (Eds.).
17. Carpenter S.R., Lathrop R.C., Nowak P., Bennett E.M., Reed T., Soranno P.A. The Ongoing Experiment: Restoration of Lake Mendota and Its Watershed 2006, Oxford University Press.
18. Carpenter S.R., Leavitt P.R. Temporal variation in a paleolimnological record arising from a trophic Cascade. Ecology 1991, 72(1):277-285.
19. Cazelles B., Chavez M., Berteaux D., Menard F., Vik J.O., Jenouvrier S., Stenseth N.C. Wavelet analysis of ecological time series. Oecologia 2008, 156(2):287-304.
20. Culver D.A., Boucherle M.M., Bean D.J., Fletcher J.W. Biomass of freshwater crustacean zooplankton from length-weight regressions. Canadian Journal of Fisheries and Aquatic Sciences 1985, 42(8):1380-1390.
21. Degobbis D., Gilmartin M. Nitrogen, phosphorus, and biogenic silicon budgets for the northern Adriatic Sea. Oceanologica Acta 1990, 13(1):31-45.
22. Demott W.R. Feeding selectivities and relative ingestion rates of Daphnia and Bosmina. Limnology and Oceanography 1982, 27(3):518-527.
23. Dobberfuhl D.R., Elser J.J. Elemental stoichiometry of lower food web components in arctic and temperate lakes. Journal of Plankton Research 2000, 22(7):1341-1354.
24. Dugdale V.A., Dugdale R.C. Nitrogen metabolism in lakes. II. role of nitrogen fixation in sanctuary Lake Pennsylvania. Limnology and Oceanography 1962, 7(2):170-177.
25. Elliott J.A., Persson I., Thackeray S.J., Blenckner T. Phytoplankton modelling of Lake Erken, Sweden by linking the models PROBE and PROTECH. Ecological Modelling 2007, 202(3-4):421-426.
26. Falkowski P., Kiefer D.A. Chlorophyll-a fluorescence in phytoplankton - relationship to photosynthesis and biomass. Journal of Plankton Research 1985, 7(5):715-731.
27. Flynn K.J. Castles built on sand: dysfunctionality in plankton models and the inadequacy of dialogue between biologists and modellers. Journal of Plankton Research 2005, 27(12):1205-1210.
28. Flynn K.J. Modelling marine phytoplankton growth under eutrophic conditions. Journal of Sea Research 2005, 54(1):92-103.
29. Fogg G.E. Growth and heterocycst production in Anabena cylindrica Lemm II. in relation to carbon and nitrogen metabolism. Annals of Botany London 1949, 13:241-259.
30. Foy R.H., Gibson C.E., Smith R.V. The influence of daylength, light intensity, and temperature on the growth rates of planktonic blue-green algae. British Phycological Journal 1976, 11(2):151-163.
31. Fragoso C.R., Marques D., Collischonn W., Tucci C.E.M., van Nes E.H. Modelling spatial heterogeneity of phytoplankton in Lake Mangueira, a large shallow subtropical lake in South Brazil. Ecological Modelling 2008, 219(1-2):125-137.
32. Fuchs E., Zimmerman R.C., Jaffe J.S. The effect of elevated levels of phaeophytin in natural water on variable fluorescence measured from phytoplankton. Journal of Plankton Research 2002, 24(11):1221-1229.
33. Gal G., Hipsey M.R., Parparov A., Wagner U., Makler V., Zohary T. Implementation of ecological modeling as an effective management and investigation tool: Lake Kinneret as a case study. Ecological Modelling 2009, 220(13-14):1697-1718.
34. Galkovskaja G.A. Planktonic rotifers and temperature. Hydrobiologia 1987, 147:307-317.
35. Geider R.J. Light and temperature dependence of the carbon to chlorophyll-a ratio in microalgae and cyanobacteria - implications for physiology and growth of phytoplankton. New Phytologist 1987, 106(1):1-34.
36. Gophen M. Temperature effect on lifespan, metabolism, and development time of Mesocyclops-leuckarti. Oecologia 1976, 25(3):271-277.
37. Gophen M. Temperature-dependence of food-intake, ammonia excretion and respiration in Ceriodaphnia-reticulata (Lake Kinneret, Israel). Freshwater Biology 1976, 6(5):451-455.
38. Gophen M., Azoulay B. The trophic status of zooplankton communities in Lake Kinneret (Israel). Verhandlungen des Internationalen Verein Limnologie 2002, 28:836-839.
39. Gregor J., Geris R., Marsalek B., Hetesa J., Marvan P. In situ quantification of phytoplankton in reservoirs using a submersible spectrofluorometer. Hydrobiologia 2005, 548:141-151.
40. Gregor J., Marsalek B. Freshwater phytoplankton quantification by chlorophyll alpha: a comparative study of in vitro, in vivo and in situ methods. Water Research 2004, 38(3):517-522.
41. Hadas O., Malinsky-Rushansky N., Pinkas R., Cappenberg T.E. Grazing on autotrophic and heterotrophic picoplankton by ciliates isolated from Lake Kinneret, Israel. Journal of Plankton Research 1998, 20(8):1435-1448.
42. Hamels I., Mussche H., Sabbe K., Muylaert K., Vyverman W. Evidence for constant and highly specific active food selection by benthic ciliates in mixed diatoms assemblages. Limnology and Oceanography 2004, 49(1):58-68.
43. Haney J., Trout M. Size selective grazing by zooplankton in Lake Titicaca. Archiv fuer Hydrobiologie 1985, (21):147-160.
44. Hanson P.C., Carpenter S.R., Armstrong D.E., Stanley E.H., Kratz T.K. Lake dissolved inorganic carbon and dissolved oxygen: changing drivers from days to decades. Ecological Monographs 2006, 76(3):343-363.
45. Harris G.P. Time-series analysis of water-quality data from Lake Ontario - implications for the measurement of water-quality in large and small lakes. Freshwater Biology 1987, 18(3):389-403.
46. Healey F.P., Hendzel L.L. Indicators of phosphorus and nitrogen deficiency in 5 algae in cultures. Journal of the Fisheries Research Board of Canada 1979, 36(11):1364-1369.
47. Heaney S.I. Some observations on the use of the in vivo fluorescence technique to determine chlorophyll-a in natural populations and cultures of freshwater phytoplankton. Freshwater Biology 1978, 8(2):115-126.
48. Hillmer I., van Reenen P., Imberger J., Zohary T. Phytoplankton patchiness and their role in the modelled productivity of a large, seasonally stratified lake. Ecological Modelling 2008, 218(1-2):49-59.
49. ss Hipsey et al., Should be Hipsey, M. R., unpublished.
50. Holdren G.C., Armstrong D.E. Factors affecting phosphorus release from intact lake sediment cores. Environmental Science & Technology 1980, 14(1):79-87.
51. Imai H., Chang K.H., Kusaba M., Nakano S. Temperature-dependent dominance of microcystis (Cyanophyceae) species: M. aeruginosa and M. wesenbergii. Journal of Plankton Research 2009, 31(2):171-178.
52. Imberger J., Patterson J.C. A dynamic reservoir simulation model- DYRESM 5. Transport Models for Inland and Coastal Waters 1981, Academic Press, New York. H.B. Fischer (Ed.).
53. Janse J.H., Scheffer M., Lijklema L., Van Liere L., Sloot J.S., Mooij W.M. Estimating the critical phosphorus loading of shallow lakes with the ecosystem model PCLake: sensitivity, calibration and uncertainty. Ecological Modelling 2010, 221(4):654-665.
54. Jassby A.D., Goldman C.R., Reuter J.E., Richards R.C. Origins and scale dependence of temporal variability in the transparency of Lake Tahoe, California-Nevada. Limnology and Oceanography 1999, 44(2):282-294.
55. Jassby A.D., Powell T.M., Goldman C.R. Interannual fluctuations in primary production: direct physical effects and the trophic cascade at Castle Lake, California. Limnology and Oceanography 1990, 35(5):1021-1038.
56. Jensen T.C., Verschoor A.M. Effects of food quality on life history of the rotifer Brachionus calyciflorus Pallas. Freshwater Biology 2004, 49(9):1138-1151.
57. Jonasson S., Eriksson J., Berntzon L., Spacil Z., Ilag L.L., Ronnevi L.O., Rasmussen U., Bergman B. Transfer of a cyanobacterial neurotoxin within a temperate aquatic ecosystem suggests pathways for human exposure. Proceedings of the National Academy of Sciences of the United States of America 2010, 107(20):9252-9257.
58. Jorgensen S.E., Bendoricchio G. Fundamentals of Ecological Modelling 2001, Elsevier Science Oxford, UK. third ed.
59. Juday C. The Inland Waters of Wisconsin: The Hydrography and Morphometry of the Lakes. Wisconsin Geological and Natural History Survey Bulletin 27 Scientific Series No. 9 1914, Madison, WI.
60. Kamarainen A.M., Yuan H.L., Wu C.H., Carpenter S.R. Estimates of phosphorus entrainment in Lake Mendota: a comparison of one-dimensional and three-dimensional approaches. Limnology and Oceanography-Methods 2009, 7:553-567.
61. Keitt T.H., Fischer J. Detection of scale-specific community dynamics using wavelets. Ecology 2006, 87(11):2895-2904.
62. Kepner R.L., Pratt J.R. Use of fluorochromes for direct enumeration of total bacteria in environmental-samples - past and present. Microbiological Reviews 1994, 58(4):603-615.
63. Kirk J.T.O. Estimation of the absorption and the scattering coefficients of natural waters by use of underwater irradiance measurements. Applied Optics 1994, 33(15):3276-3278.
64. Koltun G.F., Eberle M., Gray J.R., Glysson G.D. User's manual for the graphical constituent loading analysis system (GCLAS). Methods 2006, p. 51. U.T.a (Ed.).
65. Lampert W. Method for determining food selection by zooplankton. Limnology and Oceanography 1974, 19(6):995-998.
66. Lampert W. Response of the respiratory rate of Daphnia-magna to changing food conditions. Oecologia 1986, 70(4):495-501.
67. Lampert W. Limnoecology 2007, Oxford University Press Inc.
68. Landry M., Hassett R. Time scales in behavioral, biochemical, and energetic adaptations to food-limiting conditions. Archiv fur Hydrobiologie 1985, (21):209-211.
69. Langman O.C., Hanson P.C., Carpenter S.R., Hu Y.H. Control of dissolved oxygen in northern temperate lakes over scales ranging from minutes to days. Aquatic Biology 2010, 9(2):193-202.
70. Lathrop R.C. Dane County water quality plan. Commission 1979, Madison, WI. D.C.R.P (Ed.).
71. Lathrop R.C., Carpenter S.R., Robertson D.M. Summer water clarity responses to phosphorus, Daphnia grazing, and internal mixing in Lake Mendota. Limnology and Oceanography 1999, 44(1):137-146.
72. Lean D.R.S. Movements of phosphorus between its biologically important forms in lake water. Journal of the Fisheries Research Board of Canada 1973, 30(10):1525-1536.
73. Lean D.R.S. Phosphorus dynamics in lake water. Science 1973, 179(4074):678-680.
74. Lovell C.R., Konopka A. The effects of temperature on bacterial production in a dimictic eutrophic lake. FEMS Microbiology Ecology 1985, 31(3):135-140.
75. Madoni P., Berman T., Hadas O., Pinkas R. Food selection and growth of the planktonic ciliate Coleps-hirtus isolated from a monomictic subtropical lake. Journal of Plankton Research 1990, 12(4):735-741.
76. Magnuson J.J., Kratz T.K., Benson B.J. The challenge of time and space in ecology. Long-term Dynamics of Lakes in the Landscape: Long-term Ecological Research on North Temperate Lakes 2006, 3-16. Oxford University Press. J.J. Magnuson, T.K. Kratz, B.J. Benson (Eds.).
77. Makino W., Cotner J.B. Elemental stoichiometry of a heterotrophic bacterial community in a freshwater lake: implications for growth- and resource-dependent variations. Aquatic Microbial Ecology 2004, 34(1):33-41.
78. Makler-Pick V., Gal G., Gorfine M., Hipsey M.R., Carmel Y. Sensitivity analysis for complex ecological models - a new approach. Environmental Modelling & Software 2011, 26(2):124-134.
79. Markensten H., Moore K., Persson I. Simulated lake phytoplankton composition shifts toward cyanobacteria dominance in a future warmer climate. Ecological Applications 2010, 20(3):752-767.
80. Marra J. Analysis of diel variability in chlorophyll fluorescence. Journal of Marine Research 1997, 55(4):767-784.
81. McCauley E. A Manual on Methods for the Assessment of Secondary Production in Fresh Waters 1984, Blackwell Sci. Publ., Oxford.
82. Morris D.P., Zagarese H., Williamson C.E., Balseiro E.G., Hargreaves B.R., Modenutti B., Moeller R., Queimalinos C. The attentuation of solar UV radiation in lakes and the role of dissolved organic carbon. Limnology and Oceanography 1995, 40(8):1381-1391.
83. NTL-LTER Biological Dataset 2011, Madison, W.I.
84. NTL-LTER Chemical Limnology Dataset. North Temperate Lakes Long Term Ecological Research Program 2011, Madison, WI. http://www.lternet.edu/sites/ntl/.
85. NTL-LTER Physical Limnology Dataset. North Temperate Lakes Long Term Ecological Research Program 2011, Madison, WI. http://www.lternet.edu/sites/ntl/.
86. Peeters F., Wuest A., Piepke G., Imboden D.M. Horizontal mixing in lakes. Journal of Geophysical Research-Oceans 1996, 101(C8):18361-18375.
87. Platt T., Dickie L.M., Trites R.W. Spatial heterogeneity of phytoplankton in a nearshore environment. Journal of the Fisheries Research Board of Canada 1970, 27(8):1453-1473.
88. Pollingher U., Berman T. Relative contributions of net and nanno phytoplankton to primary production in Lake Kinneret (Israel). Archiv fur Hydrobiologie 1982, 96(1):33-46.
89. Pope R.M., Fry E.S. Absorption spectrum (380-700 nm) of pure water .2. Integrating cavity measurements. Applied Optics 1997, 36(33):8710-8723.
90. Porter J.H., Nagy E., Kratz T.K., Hanson P., Collins S.L., Arzberger P. New eyes on the world: advanced sensors for ecology. Bioscience 2009, 59(5):385-397.
91. Reynolds C. The Ecology of Phytoplankton 2006, Cambridge University Press, New York. third ed.
92. Rigosi A., Marcè R., Escot C., Rueda F.J. A calibration strategy for dynamic succession models including several phytoplankton groups. Environmental Modelling & Software 2011, 26(6):697-710.
93. Robson B.J., Hamilton D.P. Three-dimensional modelling of a microcystis bloom event in the Swan River estuary, Western Australia. Ecological Modelling 2004, 174(1-2):203-222.
94. Romero J.R., Antenucci J.P., Imberger J. One- and three-dimensional biogeochemical simulations of two differing reservoirs. Ecological Modelling 2004, 174(1-2):143-160.
95. Sandgren Chrysophyte Algae: Ecology, Phylogeny, and Development 1995, Cambridge University Press.
96. Sandgren C. Growth and Reproductive Strategies of Freshwater Phytoplankton 1988, Cambridge University Press.
97. Scavia D., Lang G.A., Kitchell J.F. Dynamics of Lake Michigan plankton - a model evaluation of nutrient loading, competition, and predation. Canadian Journal of Fisheries and Aquatic Sciences 1988, 45(1):165-177.
98. Serizawa H., Amemiya T., Itoh K. Effects of buoyancy, transparency and zooplankton feeding on surface maxima and deep maxima: comprehensive mathematical model for vertical distribution in cyanobacterial biomass. Ecological Modelling 2010, 221(17):2028-2037.
99. Serruya C., Edelstein M., Pollingher U., Serruya S. Lake Kinneret sediments: nutrient composition of the pore water and mud water exchanges. Limnology and Oceanography 1974, 19(3):489-508.
100. Shade A., Carey C.C., Kara E., Bertilsson S., McMahon K.D., Smith M.C. Can the black box be cracked? The augmentation of microbial ecology by high-resolution, automated sensing technologies. ISME Journal 2009, 3(8):881-888.
101. Sinsabaugh R.L., Findlay S. Microbial production, enzyme activity, and carbon turnover in surface sediments of the Hudson River estuary. Microbial Ecology 1995, 30(2):127-141.
102. Steele J.H., Henderson E.W. A simple model for plankton patchiness. Journal of Plankton Research 1992, 14(10):1397-1403.
103. Stemberger R.S., Gilbert J.J. Body size, food concentration, and population growth in planktonic rotifers. Ecology 1985, 66(4):1151-1159.
104. Sterner R.W., Hessen D.O. Algal nutrient limitation and the nutrition of aquatic herbivores. Annual Review of Ecology and Systematics 1994, 25:1-29.
105. Stewart K.M. Oxygen deficits, clarity, and eutrophication in some Madison lakes. Internationale Revue gesamten Hydrobiologie 1976, 61(5):16.
106. Torrence C., Compo G.P. A practical guide to wavelet analysis. Bulletin of the American Meteorological Society 1998, 79(1):61-78.
107. Trolle D., Hamilton D.P., Pilditch C.A., Duggan I.C., Jeppesen E. Predicting the effects of climate change on trophic status of three morphologically varying lakes: implications for lake restoration and management. Environmental Modelling & Software 2011, 26(4):354-370.
108. Trolle D., Skovgaard H., Jeppesen E. The Water Framework Directive: setting the phosphorus loading target for a deep lake in Denmark using the 1D lake ecosystem model DYRESM-CAEDYM. Ecological Modelling 2008, 219(1-2):138-152.
109. Ukeles R. The effect of temperature on the growth and survival of several marine algal species. Biological Bulletin 1961, 120(2):255-264.
110. Urabe J., Watanabe Y. Influence of food density on respiration rate of 2 crustacean plankters, Daphnia galeata and Bosmina longirostris. Oecologia 1990, 82(3):362-368.
111. Ventura M., Camarero L., Buchcaca T., Bartumeus F., Livingstone D.M., Catalan J. The main features of seasonal variability in the external forcing and dynamics of a deep mountain lake (Redo, Pyrenees). Journal of Limnology 2000, 59(1):97-108.
112. Vos R.J., Hakvoort J.H.M., Jordans R.W.J., Ibelings B.W. Multiplatform optical monitoring of eutrophication in temporally and spatially variable lakes. Science of the Total Environment 2003, 312(1-3):221-243.
113. Wanninkhof R. Relationship between wind-speed and gas-exchange over the ocean. Journal of Geophysical Research-Oceans 1992, 97(C5):7373-7382.
114. Wetzel R.G. Limnology: Lake and River Ecosystems 2001, Academic Press, San Diego. third ed.
115. Wiebe P.H., Boyd S., Cox J.L. Relationships between zooplankton displacement volume, wet weight, dry weight, and carbon. Fishery Bulletin 1975, 73(4):777-786.
116. Yuan H.L. Development of a Non-hydrostatic Model and Its Application to Two Akes in Madison, WI, Civil and Environmental Engineering 2007, University of Wisconsin-Madison, Madison, p. 232.
117. Zohary, unpublished data (after Gal, et al., 2009).