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Freezing lakes and lake ice Introduction (2) Growth and melting (3)

Lake ice seasonIce thickness--- stable ice ---Unstable periods(fixed)HtFtbt1t2H = min thickness for stable ice, 10 cm (small lakes)– 50 cm (large lakes).Stable ice ( climatology)

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Слайд 1Freezing lakes and lake ice
Introduction
(2) Growth and melting
(3) Supraglacial lakes
(4)

Lake ice climatology

Freezing lakes and lake iceIntroduction(2) Growth and melting(3) Supraglacial lakes(4) Lake ice climatology

Слайд 2Lake ice season
Ice thickness
--- stable ice ---
Unstable periods
(fixed)
H
tF
tb
t1
t2
H = min

thickness for stable ice,
10 cm (small lakes)–
50 cm

(large lakes).

Stable ice ( climatology)

Lake ice seasonIce thickness--- stable ice ---Unstable periods(fixed)HtFtbt1t2H = min thickness for stable ice, 10 cm (small

Слайд 3Warming climate  ?
Will the lake freeze in future ?
How

much are freezing date and break-up date affected ?
How much

is ice thickness affected ? And ice quality?
Ice cover stability ?
Ice coverage ?
Warming climate  ?Will the lake freeze in future ?How much are freezing date and break-up date

Слайд 4Ice phenology
Freezing date
Strongly connected to air temperature (long-wave radiation, turbulent

fluxes)
Connection depends on lake depth
Freezing after 0oC downcrossing
Air temperature falling

rate major factor

Breakup date
Solar radiation driving force – no long-term trend
Ice and snow thickness – weak positive trend
Turnover day from negative to positive heat balance key factor
Degree-days correlate with net solar flux

time

Thickness ~ ✔ freezing-degree-days

Ice phenologyFreezing dateStrongly connected to air temperature (long-wave radiation, turbulent fluxes)Connection depends on lake depthFreezing after 0oC

Слайд 5Breakup
Freezing
80
P
E R E N N I A L
Freezing and breakup
Extrapolated from Kirillin et al. (2012)
No ice

BreakupFreezing80PE R E N N I A LFreezing and breakupExtrapolated from Kirillin et al. (2012)No ice

Слайд 6Lake ice time series
Ice phenology
freezing date
breakup date
How to define?
Ice cover

properties
Ice thickness – max annual value
Ice concentration (large lakes)

Variability
independent winters
interannual

variability externally forced
Aperiodic time series outcome
weak intra-seasonal connections

Lake ice time seriesIce phenologyfreezing datebreakup dateHow to define?Ice cover propertiesIce thickness – max annual valueIce concentration

Слайд 7Lake Kallavesi, Finland 1830 – 2014
Trend 10 days/100 years
Aperiodic
Variability 80

days
Extrema far from mean
Trend 10 days/100 years
Aperiodic
Variability 45 days
Breakup
Freezing

Lake Kallavesi, Finland 1830 – 2014Trend 10 days/100 yearsAperiodicVariability 80 daysExtrema far from meanTrend 10 days/100 yearsAperiodicVariability

Слайд 8Colder climate  less variability
Kirillin et al. (2012)

Colder climate  less variabilityKirillin et al. (2012)

Слайд 9Freezing
date
Breakup
date
Kilpisjärvi trends 1952 – 2010 (Lei et al., 2012)

FreezingdateBreakupdateKilpisjärvi trends 1952 – 2010 (Lei et al., 2012)

Слайд 121st order: climate change impact
Freezing date
~ 5 day/°C
Ice thickness
5–10 cm/°C
Breakup

date
~ n days after zero
upcrossing of heating

1st order: climate change impactFreezing date	~ 5 day/°CIce thickness	5–10 cm/°CBreakup date ~ n days after zero upcrossing

Слайд 13Lake Vanajavesi: model for climate change impact
-1°C
-6°C
+6°C
+1°C

Lake Vanajavesi: model for climate change impact-1°C-6°C+6°C+1°C

Слайд 14Ice thickness cycle – albedo sensitivity, Prydz Bay
a = 0.5
a

= 0.5
a = 0.7
a = 0.6
Polar ice does not melt

fully but breaks due to internal deterioration. Light transmissivity of ice also has an important role.

Yang et al.
(2016)

Ice thickness cycle – albedo sensitivity, Prydz Baya = 0.5a = 0.5a = 0.7a = 0.6Polar ice

Слайд 15Lake Ladoga: Finnish – Soviet – Russian data
1913 – 1937
Ice

charts and reports

1943 – 1992
Aircraft observations
Approx. twice a month
Plots

of ice distribution’

1971 ->
NOAA and MODIS satellite images
On average 19 images /winter

Lake Ladoga: Finnish – Soviet – Russian data1913 – 1937Ice charts and reports1943 – 1992Aircraft observations Approx.

Слайд 16Ice concentration A
A = relative area of ice in the

lake
Freezing  depth: t = F(h)
Hypsographic curve = G(h)
Formally:
A(t) =

G[F-1(t)/max(h)

Thus fall evolution of ice concentration is related on the hypsographic
curve. Also decrease of concentration depends on that as melting starts
From shallow parts. Wind and lake size add further modifications.

Ice concentration AA = relative area of ice in the lakeFreezing  depth: t = F(h)Hypsographic curve

Слайд 17Lake Ladoga 1913–

Lake Ladoga 1913–

Слайд 19Summary: warming (?) 
Freezing day delays
Max annual ice thickness likely

decreases
Ice quality (congelation ice/snow ice) ?
Period of stable ice cover

shortens
Transient open water periods in smaller lakes than presently
Ice breakup date likely earlier
Summary: warming (?) Freezing day delaysMax annual ice thickness likely decreasesIce quality (congelation ice/snow ice) ?Period of

Слайд 20… consequences to water body
Shorter ice season
AND
More sunlight
More

transient open water periods
Improved oxygen level
How winter ecology will be

adapted?
… consequences to water bodyShorter ice season  ANDMore sunlightMore transient open water periodsImproved oxygen levelHow winter

Слайд 21Climate warming  Lake seasons
Annual cycle:
qualitative changes
Summer stratification stronger
Stable

ice period shorter

Climate warming  Lake seasonsAnnual cycle:qualitative changesSummer stratification stronger Stable ice period shorter

Слайд 22Lake ice and society: climate change impact
Lake ecology (+/- ?)


Traffic on-ice
Recreation: sport, fishing
ice-water bathing
Local weather changes
warmer surfaces
Open areas

may persist
 moisture fluxes, frazil ice
Snow is main question!

If the climate changes, not only the length of ice season and the thickness of ice change, but the quality of physics, ecology and practical life will be different.

Jacob Grimmer: Winter (1500s)

Lake ice and society: climate change impactLake ecology (+/- ?) Traffic on-iceRecreation: sport, fishing	ice-water bathingLocal weather changes

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