Physics of seasonally ice-covered lakes: A review

Aquatic Sciences

Volumn 74, Issue 4, 2012, Pages 659-682

  Kirillin, Georgiy ^a   Leppäranta, Matti ^b   Terzhevik, Arkady ^c   Granin, Nikolai ^e   Bernhardt, Juliane ^a   Engelhardt, Christof ^a   Efremova, Tatyana ^c   Golosov, Sergey ^d   Palshin, Nikolai ^c   Sherstyankin, Pavel ^e   Zdorovennova, Galina ^c   Zdorovennov, Roman ^c  

^a LEIBNIZ INSTITUTE OF FRESHWATER ECOLOGY AND INLAND FISHERIES   (Germany)

^b UNIVERSITY OF HELSINKI   (Finland)

^c NORTHERN WATER PROBLEMS INSTITUTE   (Russian Federation)

^d ST PETERSBURG INSTITUTE FOR INFORMATICS AND AUTOMATION   (Russian Federation)

^e LIMNOLOGICAL INSTITUTE   (Russian Federation)

Author keywords

Freezing lakes; Ice physics; Lake hydrodynamics; Physical limnology; Review

Indexed keywords

FREEZING; GLOBAL WARMING; HYDRODYNAMICS; ICE COVER; LAKE; LIMNOLOGY; LITERATURE REVIEW; MECHANICAL PROPERTY; MELTING; NUMERICAL MODEL; OPEN WATER; OPTICAL PROPERTY; RESEARCH WORK;

EID: 84867877310     PISSN: 10151621     EISSN: 14209055     Source Type: Journal    
DOI: 10.1007/s00027-012-0279-y     Document Type: Article

References (159)

1. Adrian R, O'Reilly C, Zagarese H, Baines SB, Hessen DO, Keller W, Livingstone DM, Sommaruga R, Straile D, van Donk E, Weyhenmeyer GA, Winder M (2009) Lakes as sentinels of climate change. Limnol Oceanogr 54: 2283-2297. doi: 10. 4319/lo. 2009. 54. 6_part_2. 2283.
2. Anderson DL (1961) Growth rate of sea ice. J Glaciol 3(30): 1170-1172.
3. Andreas EL (1998) The atmospheric boundary layer over polar marine surfaces. In: Leppäranta M (ed) The physics of ice-covered seas, v 2. Helsinki University Press, Helsinki, pp 715-773.
4. Arst H (2003) Optical properties and remote sensing of multicomponental water bodies. Springer, Chichester.
5. Arst H, Erm A, Leppäranta M, Reinart A (2006) Radiative characteristics of ice-covered freshwater and brackish water bodies. Proc Est Acad Sci Geol 55: 3-23.
6. Ashton GD (1980) Freshwater ice growth, motion and decay. In: Colbeck S (ed) Dynamics of snow and ice masses, pp 261-304.
7. Ashton G (ed) (1986) River and lake ice engineering. Water Resources Publications, Littleton.
8. Assel RA, Herche LH (2000) Coherence of long-term lake ice records. Verh Int Verein Limnol 27: 2789-2792.
9. 2 variability in a freshwater lake. Biogeochemistry 61: 95-113.
10. Barica J, Mathias JA (1979) Oxygen depletion and winterkill risk in small prairie lakes under extended ice cover. J Fish Res Board Can 36: 980-986.
11. Bates RE, Bilello MA (1966) Defining the cold regions of the Northern Hemisphere. TR 178. US Army Cold Regions Research and Engineering Laboratory, Hanover.
12. Bengtsson L (1986) Dispersion in ice-covered lakes. Nordic Hydrol 17: 151-170.
13. Bengtsson L (1996) Mixing in ice-covered lakes. Hydrobiologia 322: 91-97.
14. Bengtsson L (2011) Ice-covered lakes: environment and climate-required research. Hydrol Process 25: 2767-2769. doi: 10. 1002/hyp. 8098.
15. Bernhardt J, Engelhardt C, Kirillin G, Matschullat J (2011) Lake ice phenology in Berlin-Brandenburg from 1947-2007: observations and model hindcasts. Clim Change. doi: 10. 1007/s10584-011-0248-9.
16. Beutel MW (2001) Oxygen consumption and ammonia accumulation in the hypolimnion of Walker Lake, Nevada. Hydrobiologia 466: 107-117.
17. Boehrer B, Fukuyama R, Chikita K (2008) Stratification of very deep, thermally stratified lakes. Geophys Res Lett 35: L16405. doi: 10. 1029/2008GL034519.
18. Boudreau BP, Jørgensen BB (2001) The benthic boundary layer: transport processes and biogeochemistry. Oxford University Press, USA.
19. Boylen CW, Brock TD (1973) Bacterial decomposition processes in Lake Wingra sediments during winter. Limnol Oceanogr 18: 628-634.
20. Brekhovskikh VF, Gashkina NA, Kremenetskaya ER, Lomova DV (2003) Oxygen regime of the Mozhaisk Reservoir during under ice period. Rus Meteorol Hydrol 1: 103-109 (in Russian).
21. Bryant LD, Lorrai C, McGinnis DF, Brand A, Wüest A, Little JC (2010) Variable sediment oxygen uptake in response to dynamic forcing. Limnol Oceanogr 55: 950-964.
22. Burda NY (1999) Computer simulation for Ladoga Lake ice dynamics based on remotely sensed data. Int Geosci Remote Sens Symp 2: 937-939.
23. Carmack EC, Farmer DM (1982) Cooling processes in deep, temperate lakes: a review with examples from two lakes in British Columbia. J Mar Res 40: 85-111.
24. Carmack E, Weiss R (1991) Convection in Lake Baikal: an example of thermobaric instability. In: Chu PC, Gascard JC (eds) Deep convection and deep water formation in the oceans. Elsevier, Amsterdam, pp 215-228.
25. Catalan J, Ventura M, Brancelj A, Granados I, Thies H, Nickus U, Korhola A, Lotter AF, Barbieri A, Stuchlik E, Lien L, Bitusik P, Buchaca T, Camarero L, Goudsmit GH, Kopacek J, Lemcke G, Livingstone DM, Müller B, Rautio M, Sisko M, Sorvari S, Sporka F, Strunecky O, Toro M (2002) Seasonal ecosystem variability in remote mountain lakes: implications for detecting climatic signals in sediment records. J Paleolimnol 28: 25-46.
26. Colman JA, Armstrong DE (1983) Horizontal diffusivity in a small, ice-covered lake. Limnol Oceanogr 28: 1020-1026.
27. Crawford G, Collier R (2007) Long-term observations of deepwater renewal in Crater Lake, Oregon. Hydrobiologia 574: 47-68.
28. Croley TE II, Assel RA (1994) A one-dimensional ice thermodynamics model for the Laurentian Great Lakes. Water Resour Res 30(3): 625-639. doi: 10. 1029/93WR03415.
29. Duguay CR, Pultz TJ, Lafleur PM, Drai D (2002) RADARSAT backscatter characteristics of ice growing on shallow sub-Arctic lakes, Churchill, Manitoba, Canada. Hydrol Process 16(8): 1631-1644.
30. Duguay CR, Flato GM, Jeffries MO, Ménard P, Morris K, Rouse WR (2003) Ice-cover variability on shallow lakes at high latitudes: model simulations and observations. Hydrol Process 17: 3464-3483.
31. Duguay CR, Prowse TD, Bonsal BR, Brown RD, Lacroix MP, Menard P (2006) Recent trends in Canadian lake ice cover. Hydrol Process 20: 781-801.
32. Efremova T, Palshin N (2011) Ice phenomena terms on the water bodies of Northwestern Russia. Rus Meteorol Hydrol 36(8): 559-565.
33. Ellis CR, Stefan HG (1989) Oxygen demand in ice covered lakes as it pertains to winter aeration. Water Resour Bull 25: 1169-1176.
34. Farmer DM (1975) Penetrative convection in the absence of mean shear. Q J R Meteorol Soc 101: 869-891. doi: 10. 1002/qj. 49710143011.
35. Farmer DM, Carmack E (1981) Wind mixing and restratification in a lake near the temperature of maximum density. J Phys Oceanogr 11: 1516-1533.
36. Forrest AL, Laval BE, Pieters R, Lim DSS (2008) Convectively driven transport in temperate lakes. Limnol Oceanogr 53: 2321-2332.
37. George G (ed) (2010) The impact of climate change on European lakes, 1st edn. Springer, Berlin.
38. Gill AE (1982) Atmosphere-ocean dynamics. Academic Press, NY.
39. Golosov S, Maher OA, Schipunova E, Terzhevik A, Zdorovennova G, Kirillin G (2007) Physical background of the development of oxygen depletion in ice-covered lakes. Oecologia 151: 331-340.
40. Golosov S, Terzhevik A, Zverev I, Kirillin G, Engelhardt C (2012) Climate change impact on thermal and oxygen regime of shallow lakes. Tellus A 64: 17264. doi: 10. 3402/tellusa. v64i0. 17264.
41. Götzinger G (1909) Studien über das Eis des Lunzer Unter-und Obersees. Int Rev ges Hydrobiol Hydrogr 2: 386-396.
42. Gow AJ (1986) Orientation textures in ice sheets of quietly frozen lakes. J Crystal Growth 74: 247-258.
43. Gow AJ, Govoni JW (1983) Ice growth on post pond, 1973-1982. Cold Regions Research and Engineering Laboratory report 83-4.
44. Granin N, Gnatovskiy RY, Zhdanov A, Zehanovsky VV, Gorbunova LA (1999a) Convection and mixing under the ice of Lake Baikal. Sibirskij Ecologicheskij Zhurnal 6: 597-600 (in Russian).
45. Granin N, Jewson D, Gnatovsky RY, Levin LA, Zhdanov AA, Averin AI, Gorbunova LA, Tcekhanovsky VV, Doroschenko LF, Min'ko NP, Grachev MA (1999b) Turbulent mixing in the water layer just below the ice and its role in development of diatomic algae in Lake Baikal. Dokl Acad Sci USSR 366: 835-839 (in Russian).
46. Greenbank J (1945) Limnological conditions in ice-covered lakes, especially as related to winter-kill of fish. Ecol Monogr 15: 343-391.
47. Haapala J, Leppäranta M (1997) The Baltic Sea ice season in changing climate. Boreal Env Res 2: 93-108.
48. Halsey TG (1968) Autumnal and over-winter limnology of three small eutrophic lakes with particular reference to experimental circulation and trout mortality. J Fish Res Board Can 25: 81-99.
49. Hamblin PF, Carmack EC (1990) On the rate of heat transfer between a lake and an ice sheet. Cold Reg Sci Technol 18: 173-182.
50. Hargrave BT (1969) Similarity of oxygen uptake by benthic communities. Limnol Oceanogr 14: 801-805.
51. Higashino M, Gantzer CJ, Stefan HG (2004) Unsteady diffusional mass transfer at the sediment/water interface: theory and significance for SOD measurement. Water Res 38: 1-12.
52. Hohmann R, Kipfer R, Peeters F, Piepke G, Imboden DM, Shimaraev MN (1997) Processes of deep-water renewal in Lake Baikal. Limnol Oceanogr 42: 841-855.
53. Huang WF, Li Z, Han H, Niu F, Lin Z, Leppäranta M (2012) Structural analysis of thermokarst lake ice in Beiluhe Basin, Qinghai-Tibet Plateau. Cold Reg Sci Technol 72: 33-42.
54. Hutchinson GE, Löffler H (1956) The thermal classification of lakes. Proc Nat Acad Sci USA 42: 84-86.
55. Huttula T, Pulkkanen M, Arkhipov B, Leppäranta M, Solbakov V, Shirasawa K, Salonen K (2010) Modelling circulation in an ice-covered Lake. Est J Earth Sci 59: 298-309.
56. IPCC (2001) Climate change 2001: the scientific basis. In: Houghton JT, Ding Y, Griggs DJ, Noguer M, van der Linden PJ, Dai X, Maskell K, Johnson CA (eds) Contribution of working group I to the third assessment report of the intergovernmental panel on climate change (IPCC). Cambridge University Press, Cambridge.
57. IPCC (2007) Climate Change 2007: The Physical Science Basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change (IPCC), Solomon S, Qin D, Manning M, Chen Z, Marquis M, Averyt KB, Tignor M, Miller HL (eds), Cambridge University Press, Cambridge, UK.
58. Jakkila J, Leppäranta M, Kawamura T, Shirasawa K, Salonen K (2009) Radiation transfer and heat budget during the ice season in Lake Pääjärvi, Finland. Aquat Ecol 43: 681-692.
59. Jensen OP, Benson BJ, Magnuson JJ, Card VM, Futter MN, Soranno PA, Stewart KM (2007) Spatial analysis of ice phenology trends across the Laurentian Great Lakes region during a recent warming period. Limnol Oceanogr 52: 2013-2026.
60. Jewson D, Granin N, Zhdanov A, Gnatovsky R (2009) Effect of snow depth on under-ice irradiance and growth of Aulacoseira baicalensis in Lake Baikal. Aquat Ecol 43: 673-679. doi: 10. 1007/s10452-009-9267-2.
61. Jonas T, Terzhevik AY, Mironov DV, Wüest A (2003) Radiatively driven convection in an ice-covered lake investigated by using temperature microstructure technique. J Geophys Res 108(C6): 3183. doi: 10. 1029/2002JC001316.
62. Karetnikov S, Naumenko MA (2008) Recent trends in Lake Ladoga ice cover. Hydrobiologia 599: 41-48.
63. Kärkäs E (2000) The ice season of Lake Pääjärvi, southern Finland. Geophysica 36: 85-94.
64. Kelley DE (1997) Convection in ice-covered lakes: effects on algal suspension. J Plankton Res 19(12): 1859-1880. doi: 10. 1093/plankt/19. 12. 1859.
65. Kenney B (1996) Physical limnological processes under ice. Hydrobiologia 322: 85-90.
66. Kirillin G (2010) Modelling the impact of global warming on water temperature and seasonal mixing regimes in small temperate lakes. Boreal Env Res 15: 279-293.
67. Kirillin G, Terzhevik A (2011) Thermal instability in freshwater lakes under ice: effect of salt gradients or solar radiation? Cold Reg Sci Technol 65: 184-190. doi: 10. 1016/j. coldregions. 2010. 08. 010.
68. Kirillin G, Engelhardt C, Golosov S, Hintze T (2009) Basin-scale internal waves in the bottom boundary layer of ice-covered Lake Müggelsee, Germany. Aquat Ecol 43: 641-651. doi: 10. 1007/s10452-009-9274-3.
69. Kirillin G, Rizk W, Leppäranta M (2012) Convective mixing by solar radiation under lake ice. In: Li Z, Lu P (eds) Ice research for a sustainable environment. Proceedings of 21st IAHR international symposium on ice, Dalian University of Technology Press, Dalian, China, pp 1201-1211. ISBN: 978-7-89437-020-4. http://www. iahr. net/site/e_library/. Accessed Aug 2012.
70. Kondratyev KYa, Filatov N (eds) (1999) Limnology and remote sensing. A contemporary approach. Springer-Praxis, Chichester.
71. Korhonen J (2006) Long-term changes in lake ice cover in Finland. Nordic Hydrol 37: 347-363.
72. Kouraev AV, Shimaraev MN, Buharizin PI, Naumenko MA, Crétaux JF, Mognard N, Legrésy B, Rémy F (2008) Ice and snow cover of continental water bodies from simultaneous radar altimetry and radiometry observations. Surv Geophys 29: 271-295. doi: 10. 1007/s10712-008-9042-2.
73. Koźmiński Z, Wisznewski J (1934) Über die Vorfrühlingthermik der Wigry-Seen. Archiv f Hydrobiol 28: 198-235.
74. Lei R, Leppäranta M, Erm A, Jaatinen E, Pärn O et al (2011) Field investigations of apparent optical properties of ice cover in Finnish and Estonian lakes in winter 2009. Est J Earth Sci 60(1): 50-64.
75. Lei R, Leppäranta M, Cheng B, Heil P, Li Z (2012) Changes in ice-season characteristics of a European Arctic lake from 1964 to 2008. Clim Change. doi: 10. 1007/s10584-012-0489-2 (online first).
76. Leppäranta M (1983) A growth model for black ice, snow ice and snow thickness in subarctic basins. Nordic Hydrol 14: 59-70.
77. Leppäranta M (1993) A review of analytical models of sea-ice growth. Atmos Ocean 31: 123-138.
78. Leppäranta M (2009) Modelling of formation and decay of lake ice. In: George G (ed) Climate change impact on European lakes. Springer, Netherlands, pp 63-83.
79. Leppäranta M (2011) The drift of sea ice, 2nd edn. Springer-Praxis, Heidelberg.
80. Leppäranta M, Kosloff P (2000) The thickness and structure of Lake Pääjärvi ice. Geophysica 36: 233-248.
81. Leppäranta M, Lewis JE (2007) Observations of Ice Surface Temperature and Thickness in the Baltic Sea. Int J Remote Sens 28(17): 3963-3977. doi: 10. 1080/01431160601075616.
82. Leppäranta M, Wang K (2008) The ice cover on small and large lakes: scaling analysis and mathematical modelling. Hydrobiologia 599: 183-189.
83. Leppäranta M, Tikkanen M, Virkanen J (2003) Observations of ice impurities in some Finnish lakes. Proc Est Acad Sci Chem 52: 59-75.
84. Leppäranta M, Terzhevik A, Shirasawa K (2010) Solar radiation and ice melting in Lake Vendyurskoe, Russian Karelia. Hydrol Res 41: 50-62.
85. Li Z, Huang W-F, Jia Q, Leppäranta M (2011) Distributions of crystals and gas bubbles in reservoir ice during growth period. Water Sci Eng 4(2): 204-211. doi: 10. 3882/j. issn. 1674-2370. 2011. 02. 008.
86. Likens GE, Ragotzkie RA (1965) Vertical water motions in a small ice-covered lake. J Geophys Res 70: 2333-2344. doi: 196510. 1029/JZ070i010p02333.
87. Likens GE, Ragotzkie RA (1966) Rotary circulation of water in an ice-covered lake. Verh Int Ver Theor Angew Limnol 16: 126-133.
88. Lilly DK (1968) Models of cloud-topped mixed layers under a strong inversion. Q J R Meteorol Soc 94(401): 292-309.
89. Livingstone DM (2000) Large scale climatic forcing detected in historical observations of lake-ice break-up. Verh Int Ver Theor Angew Limnol 27(5): 2775-2783.
90. Magnuson JJ, Robertson DM, Benson BJ, Wynne RH, Livingstone DM, Arai T, Assel RA, Barry RG, Card V, Kuusisto E, Granin NG, Prowse TD, Stewart KM, Vuglinski VS (2000) Historical trends in lake and river ice cover in the northern hemisphere. Science 289: 1743-1746 (errata 2001 Science 291: 254).
91. Malm J (1998) Bottom buoyancy layer in an ice-covered lake. Water Resour Res 34: 2981-2993.
92. Malm J (1999) Some properties of currents and mixing in a shallow ice-covered lake. Water Resour Res 35: 221-232.
93. Malm J, Terzhevik A, Bengtsson L, Boyarinov P, Glinsky A, Palshin N, Petrov M (1997) Temperature and salt content regimes in three shallow ice-covered lakes. 2. Heat and mass fluxes. Nordic Hydrol 28: 129-152.
94. Malm J, Bengtsson L, Terzhevik A, Boyarinov P, Glinsky A, Palshin N, Petrov M (1998) Field study on currents in a shallow, ice-covered lake. Limnol Oceanogr 43: 1669-1679.
95. Margesin R, Schinner F (eds) (1999) Cold-adapted organisms. Springer, Heidelberg.
96. Marisol F, Sattler B, Psenner R, Catalan J (1995) Highly active microbial communities in the ice and snow cover of high mountain lakes. Appl Environ Microbiol 61: 2394-2401.
97. Marszelewski W, Skowron R (2006) Ice cover as an indicator of winter air temperature changes: case study of the Polish Lowland lakes. Hydrol Sciences J 51: 336-349.
98. Matzinger A, Müller B, Niederhauser P, Schmid M, Wüest A (2010) Hypolimnetic oxygen consumption by sediment-based reduced substances in former eutrophic lakes. Limnol Oceanogr 55: 2073-2084.
99. Maykut GA, Untersteiner N (1971) Some results from a time-dependent, thermodynamic model of sea ice. J Geophys Res 76: 1550-1575.
100. McPhee M (2008) Air-ice-ocean interaction: turbulent boundary layer exchange processes. Springer, Berlin.
101. Michel B (1978) Ice mechanics. Laval University Press, Quebec City.
102. Michel B, Ramseier RO (1971) Classification of river and lake ice. Can Geotech J 8: 36-45.
103. Mironov D, Terzhevik A, Kirillin G, Jonas T, Malm J, Farmer D (2002) Radiatively driven convection in ice-covered lakes: Observations, scaling, and a mixed layer model. J Geophys Res 107(C4). doi: 10. 1029/2001JC000892.
104. Mortimer C, Mackereth F (1958) Convection and its consequences in ice-covered lakes. Verh Int Ver Limnol 13: 923-932.
105. Mullen PC, Warren SG (1988) Theory of optical properties of lake ice. J Geophys Res 93((D7)): 8403-8414.
106. Müller B, Bryant LD, Matzinger A, Wüest A (2012) Hypolimnetic oxygen depletion in eutrophic lakes. Env Sci Technol. doi: 10. 1021/es301422r.
107. Oveisy A, Boegman L, Imberger J (2012) Three-dimensional simulation of lake and ice dynamics during winter. Limnol Oceanogr 57: 43-57.
108. Palosuo E (1965) Frozen slush on lake ice. Geophysica 9: 36-45.
109. Petrov M, Terzhevik A, Zdorovennov R, Zdorovennova G (2006) The thermal structure of a shallow lake in early winter. Water Resour 33: 135-143. doi: 10. 1134/S0097807806020035.
110. Petrov M, Terzhevik A, Zdorovennov R, Zdorovennova G (2007) Motion of water in an ice-covered shallow lake. Water Resour 34(2): 113-122. doi: 10. 1134/S0097807807020017.
111. Phillips OM (1970) On flows induced by diffusion in a stably stratified fluid. Deep Sea Res Oceanogr Abs 17: 435-443. doi: 10. 1016/0011-7471(70)90058-6.
112. Pieters R, Lawrence GA (2009) Effect of salt exclusion from lake ice on seasonal circulation. Limnol Oceanogr 54: 401-412.
113. Pivovarov (1973) Thermal conditions in freezing lakes and rivers. Wiley, New York.
114. Puklakov VV, Edel'shtein KK, Kremenetskaya ER, Gashkina NA (2002) Water self purification in the Mozhaisk Reservoir in winter. Water Resour 29(6): 655-664.
115. Rahm L (1985) The thermally forced circulation in a small, ice-covered lake. Limnol Oceanogr 30: 1122-1128.
116. Reinart A, Arst H, Nõges P, Nõges T (2000) Comparison of euphotic layer criteria in lakes. Geophysica 36: 141-159.
117. Robertson DM, Ragotszkie RA, Magnuson JJ (1992) Lake ice records used to detect historical and future climatic change. Clim Change 2: 407-427.
118. Salonen K, Leppäranta M, Viljanen M, Gulati R (2009) Perspectives in winter limnology: closing the annual cycle of freezing lakes. Aquat Ecol 43: 609-616.
119. Saloranta T (2000) Modeling the evolution of snow, snow ice and ice in the Baltic Sea. Tellus A 52: 93-108.
120. Saloranta T, Andersen T (2007) MyLake-a multi-year lake simulation model code suitable for uncertainty and sensitivity analysis simulations. Ecol Model 207(1): 45-60.
121. Schmid M, Budnev NM, Granin NG, Sturm M, Schurter M, Wüest A (2008) Lake Baikal deepwater renewal mystery solved. Geophys Res Lett 35: L09605. doi: 10. 1029/2008GL033223.
122. Sherstyankin PP (1975) The experimental investigations of under ice light field of Lake Baikal. Nauka, Moscow (in Russian).
123. Sherstyankin PP (1992) Optical observations on front generation in Lake Baikal. Dokl Acad Sci Russ 356: 366-370 (in Russian).
124. Shimaraev M, Granin N (1991) Temperature stratification and the mechanism of convection in Lake Baikal. Dokl Acad Sci Russ 321: 381-385 (in Russian).
125. Shimaraev MN, Granin NG, Domysheva VM, Zhdanov AA, Golobokova LP, Gnatovskii RY, Tsekhanovskii VV, Blinov VV (2003) Water exchange between bed depressions in Baikal. Water Resour 30: 623-626. doi: 10. 1023/B: WARE. 0000007587. 23858. ab.
126. Shimaraev MN, Gnatovskii RY, Blinov VV, Ivanov VG (2011) Renewal of deep waters of Lake Baikal revisited. Dokl Earth Sci 438: 652-655. doi: 10. 1134/S1028334X11050096.
127. Shirasawa K, Leppäranta M, Saloranta T, Polomoshnov A, Surkov G, Kawamura T (2005) The thickness of landfast ice in the Sea of Okhotsk. Cold Reg Sci Technol 42: 25-40.
128. Shirasawa K, Leppäranta M, Kawamura T, Ishikawa M, Takatsuka T (2006) Measurements and modelling of the water-ice heat flux in natural waters. In: Proc of the 18th IAHR international symposium on ice, Hokkaido University, Sapporo, Japan, pp 85-91. http://www. riverice. ualberta. ca/IAHR%20Proc/. Accessed Aug 2012.
129. Shuter BJ, Finstad AG, Helland IP, Zweimüller I, Hölker F (2012) The role of winter phenology in shaping the ecology of freshwater fish and their sensitivities to climate change (this issue).
130. Simojoki H (1940) Über die Eisverhältnisse der Binnenseen Finnlands. PhD thesis, University of Helsinki.
131. Stefan J (1891) Über die Theorie der Eisbildung, insbesondere über Eisbildung im Polarmeere. Annalen der Physik 3rd Ser 42: 269-286.
132. Stigebrandt A (1978) Dynamics of an ice covered lake with through-flow. Nordic Hydrol 9: 19-244.
133. Sturova IV (2007) Effect of ice cover on oscillations of fluid in a closed basin. Izv Atmos Ocean Phys 43(1): 112-118. doi: 10. 1134/S0001433807010136.
134. Svensson U, Larsson R (1980) A one-dimensional numerical model study of some basic features of the flow in ice-covered lakes. J Hydraul Res 18: 251-267.
135. Terzhevik A, Golosov S, Palshin N, Mitrokhov A, Zdorovennov R, Zdorovennova G, Kirillin G, Shipunova E, Zverev I (2009) Some features of the thermal and dissolved oxygen structure in boreal, shallow ice-covered Lake Vendyurskoe, Russia. Aquat Ecol 43(3): 617-627. doi: 10. 1007/s10452-009-9288-x.
136. Terzhevik AY, Palshin NI, Golosov SD, Zdorovennov RE, Zdorovennova GE, Mitrokhov AV, Potakhin MS, Shipunova EA, Zverev IS (2010) Hydrophysical aspects of oxygen regime formation in a shallow ice-covered lake. Water Resour 37: 662-673. doi: 10. 1134/S0097807810050064.
137. Thomas D, Dieckmann GS (eds) (2009) Sea ice. Wiley, New York.
138. Verescagin G (1925) A selection of works from Lake Baikal Expedition. Dokl Acad Sci SSSR 12: 161-164 (in Russian).
139. Vincent WF, Layborn-Parry J (2008) Polar lakes and rivers. Limnology of Arctic and Antarctic aquatic ecosystems. Oxford University Press, NY.
140. Wake A, Rumer RR (1983) Great lakes ice dynamics simulation. J Waterway Port Coastal Ocean Eng 109: 86-102.
141. Walsh SE, Vavrus SJ, Foley JA, Fisher VA, Wynne RH, Lenters JD (1998) Global patterns of lake ice phenology and climate: Model simulations and observations. J Geophys Res 103(D22): 28825-28837. doi: 10. 1029/98JD02275.
142. Wang C, Shirasawa K, Leppäranta M, Ishikawa M, Huttunen O, Takatsuka T (2005) Solar radiation and ice heat budget during winter 2002-2003 in Lake Pääjärvi, Finland. Verh Int Verein Limnol 29: 414-417.
143. Wang K, Leppäranta M, Reinart A (2006) Modeling ice dynamics in Lake Peipsi. Verh Int Verein Limnol 29: 1443-1446.
144. Wang J, Bai X, Hu H, Clites A, Colton M, Lofgren B (2012) Temporal and spatial variability of great lakes ice cover, 1973-2010*. J Clim 25: 1318-1329.
145. Weeks WF (1998) Growth conditions and structure and properties of sea ice. In: Leppäranta M (ed) The physics of ice-covered seas, v 1. Helsinki University Press, Helsinki, pp 25-104.
146. Weiss RF, Carmack EC, Koropalov VM (1991) Deep-water renewal and biological production in Lake Baikal. Nature 349: 665-669. doi: 10. 1038/349665a0.
147. Welch HE, Bergmann MA (1985) Water circulation in small arctic lakes in winter. Can J Fish Aquat Sci 42: 506-520.
148. Welch HE, Dillon PJ, Sreedharan A (1976) Factors affecting winter respiration in Ontario lakes. J Fish Res Board Can 33: 1809-1815.
149. Wüest A, Lorke A (2003) Small-scale hydrodynamics in lakes. Annu Rev Fluid Mech 35: 373-412. doi: 10. 1146/annurev. fluid. 35. 101101. 161220.
150. Wüest A, Ravens TM, Granin NG, Kocsis O, Schurter M, Sturm M (2005) Cold intrusions in Lake Baikal: direct observational evidence for deep-water renewal. Limnol Oceanogr 50: 184-196.
151. Wunsch C (1970) On oceanic boundary mixing. Deep Sea Res Oceanogr Abs 17: 293-301. doi: 10. 1016/0011-7471(70), 90022-7.
152. Yang Y, Leppäranta M, Cheng B, Li Z et al (2012) Numerical modelling of snow and ice thicknesses in Lake Vanajavesi, Finland. Tellus A 64: 17202. doi: 10. 3402/tellusa. v64i0. 17202.
153. Zdorovennova G (2009) Spatial and temporal variations of the water-sediment thermal structure in shallow ice-covered Lake Vendyurskoe (Northwestern Russia). Aquat Ecol 43: 629-639. doi: 10. 1007/s10452-009-9277-0.
154. Zdorovennov RE, Zdorovennova GE, Palshin NI, Terzhevik AY (2011) Variation of thermal and oxygen regimes in shallow lake in winter. Transactions of KRC of RAS 4: 57-63 (in Russian).
155. Zeikus JG, Winfrey MR (1976) Temperature limitation of methanogenesis in aquatic sediments. Appl Environ Microbiol 31: 99-107.
156. Zhdanov AA, Granin NG, Shimaraev MN (2001) The generation mechanism of under-ice currents in Lake Baikal. Dokl Earth Sci 377A: 329-332.
157. Zilitinkevich SS (ed) (1991) Modeling air-lake interaction: physical background. Springer, Berlin.
158. Zubov NN (1945) L'dy Arktiki. Izdatelstvo Glavsevmorputi, Moscow (in Russian). English translation: Zubov NN. (1963) Arctic Ice. Naval Oceanographic Office. Washington DC, USA. http://openlibrary. org/books/OL5931644M/Arctic_ice. Accessed Aug 2012.
159. Zyryanov VN (2011) Under-ice seiches. Water Resour 38: 261-273. doi: 10. 1134/S0097807811020163.