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Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields in Asian Part of Russia International Conference and Young Scientists School on Computational Information Technologies for Environmental Sciences Tomsk, Russia, September 1-11, 2003 ____________________________________________ _________ Institute for Optical Monitoring SB RAS 10/3, Akademicheskii Ave., Tomsk 634055, Russia +7-3822-25-89-44, 25-96-81

Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

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Wavelet analysis of temporal series

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Page 1: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Ippolitov I. I., Kabanov M. V., Komarov A. I.,Kuskov A. I., Loginov S. V., Smirnov S. V.

Structure and Dynamics of Ground Temperature and Pressure Fields in Asian Part of Russia

International Conference and Young Scientists School on Computational Information Technologies for Environmental Sciences

Tomsk, Russia, September 1-11, 2003

_____________________________________________________Institute for Optical Monitoring SB RAS10/3, Akademicheskii Ave., Tomsk 634055, Russia+7-3822-25-89-44, [email protected], [email protected]

Page 2: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Resolution into components of temporal series

2 2

1

1

( ) ( )

( )

cos ( 1)6

,

2 sin ( 1) ,6

2 cos ( 1)6

tr m

tr

m

n

ii

n

ii

T t T t T T

T t t

T A m

A a b arctg a b

a T in

b T in

Page 3: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Wavelet analysis of temporal series

*1( , ) ( ) ( )abW a b f t t dta

1/ 2( )abt bt aa

2 / 2( ) ois t tt e e

1* ( )( )

N

k nn

k n tW s Xs

Page 4: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Long-term means of surface temperature (°C)

-16 .00-15 .00-14 .00-13 .00-12 .00-11 .00-10 .00-9 .00-8 .00-7 .00-6 .00-5 .00-4 .00-3 .00-2 .00-1 .000 .001 .002 .003 .004 .005 .006 .00

Р и су н о к Р асп р ед ел ен и е ср ед н ей тем п ер ату р ы п о тер р и то р и и С и б и р и и Д ал ьн его В о с то к а

Page 5: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Ranges of seasonal trend of surface temperature (°C)

1 0 .0 0

1 2 .0 0

1 4 .0 0

1 6 .0 0

1 8 .0 0

2 0 .0 0

2 2 .0 0

2 4 .0 0

2 6 .0 0

2 8 .0 0

3 0 .0 0

3 2 .0 0

Р и с у н о к Р а сп р ед е л ен и е ам п л и т у д ы го д о в о го х о д а с р ед н е м е ся ч н о й те м п е р а ту р ы

п о т ер р и т о р и и С и б и р и и Д а л ь н е го В о с т о к а

Page 6: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Long-term trends of surface temperature (°C per decade)

-0 .10

0 .00

0 .10

0 .20

0 .30

0 .40

0 .45

0 .50

0 .60

Р и с у н о к Р ас п р ед ел е н и е о тн о с и т ел ь н о го т р е н д а (гр а д /1 0 л е т ) п о те р р и то р и иС и б и р и и Д ал ь н е го В о с то к а

Page 7: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Long-term means of surface pressure (hPa)

1 0 0 8

1 0 0 9

1 0 1 0

1 0 11

1 0 1 2

1 0 1 3

1 0 1 4

1 0 1 5

1 0 1 6

1 0 1 7

1 0 1 8

1 0 1 9

1 0 2 0

1 0 2 1

Р и с у н о к Р а с п р е д е л е н и е с р е д н е й в ел и ч и н ы д а в л е н и я

п о те р р и т о р и и С и б и р и и Д ал ь н е го В о с то к а

ã Ïà

1 0 0 8

1 0 0 9

1 0 1 0

1 0 11

1 0 1 2

1 0 1 3

1 0 1 4

1 0 1 5

1 0 1 6

1 0 1 7

1 0 1 8

1 0 1 9

1 0 2 0

1 0 2 1

Р и су н о к Р асп р е д ел ен и е ср е д н ей в ел и ч и н ы д ав л ен и я

п о т ер р и то р и и С и б и р и и Д а л ь н его В о сто к а

ã Ïà

Page 8: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Ranges of seasonal trend of surface pressure (hPa)

1 .0 0

2 .0 0

3 .0 0

4 .0 0

5 .0 0

6 .0 0

7 .0 0

8 .0 0

9 .0 0

1 0 .0 0

11 .0 0

1 2 .0 0

1 3 .0 0

1 4 .0 0

Р и с у н о к Р ас п р ед е л е н и е а м п л и т у д ы го д о в о го х о д а

п о те р р и т о р и и С и б и р и и Д а л ьн е го В о с т о к а

гП а

1 .0 0

2 .0 0

3 .0 0

4 .0 0

5 .0 0

6 .0 0

7 .0 0

8 .0 0

9 .0 0

1 0 .0 0

11 .0 0

1 2 .0 0

1 3 .0 0

1 4 .0 0

Р и с у н о к Р а сп р е д е л е н и е а м п л и т у д ы го д о в о го х о д а

п о т е р р и то р и и С и б и р и и Д а л ьн е го В о с то к а

гП а

Page 9: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Long-term trends of surface pressure (hPa per decade)

-0 .8 0

-0 .7 0

-0 .6 0

-0 .5 0

-0 .4 0

-0 .3 0

-0 .2 0

-0 .1 0

0 .0 0

0 .1 0

0 .2 0

Р и су н о к П р о стр ан с тв е н н о е р асп р ед ел ен и е о тн о си тел ьн о го тр ен д а (гП а /1 0 л ет )

н а те р р и то р и и С и б и р и и Д ал ьн его В о сто к а .

-0 .8 0

-0 .7 0

-0 .6 0

-0 .5 0

-0 .4 0

-0 .3 0

-0 .2 0

-0 .1 0

0 .0 0

0 .1 0

0 .2 0

Р и су н о к П р о с тр ан с тве н н о е р асп р ед ел ен и е о тн о си тел ь н о го тр е н д а (гП а /1 0 л ет )

н а тер р и то р и и С и б и р и и Д ал ь н е го В о с то к а .

Page 10: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Correlation between long-term monthly deviations of surface temperature and pressure

-0,3

-0,2

-0,1

0

0,1

0,2

Month

Coe

ffici

ent o

f cor

rela

tion

Page 11: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Correlation between long-term deviations of surface temperature and pressure in July

Page 12: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Correlation between long-term deviations of surface temperature and pressure in January

Page 13: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Results of wavelet analysis for surface temperature at Omsk

Page 14: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Results of wavelet analysis for surface pressure at Omsk

Page 15: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Correlation between long-term monthly means of surface temperature and pressure according to oscillation periods for 30–40th years to 1995 at the former USSR

MonthPeriod (yeas)

5 7 11 15 22 30Jan -0.37 -0.44 -0.31 -0.34 -0.31 -0.36 Feb -0.31 -0.38 -0.24 -0.42 -0.39 -0.26 Mar -0.35 -0.41 -0.28 -0.20 -0.20 -0.39 Apr -0.14 -0.09 -0.01 -0.05 -0.17 -0.44

May -0.10 -0.09 0.04 0.06 -0.09 -0.21

Jun -0.04 -0.04 -0.10 0.02 0.14 0.13

Jul -0.01 -0.07 -0.02 -0.02 0 0.19

Aug -0.04 -0.07 -0.06 -0.03 -0.07 0

Sep -0.03 -0.03 -0.17 -0.31 -0.07 -0.09

Oct -0.23 -0.23 -0.11 -0.11 0.05 -0.05 Nov -0.25 -0.31 -0.30 -0.17 -0.15 -0.56 Dec -0.32 -0.36 -0.28 -0.30 -0.33 -0.44Year -0.19 -0.21 -0.16 -0.17 -0.21 -0.16

Page 16: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Standard deviations (as in previous slide)

MonthPeriod (yeas)

5 7 11 15 22 30Jan 0.28 0.33 0.42 0.47 0.56 0.67 Feb 0.29 0.32 0.45 0.59 0.50 0.63 Mar 0.30 0.34 0.46 0.59 0.60 0.53 Apr 0.32 0.37 0.48 0.50 0.56 0.53

May 0.34 0.33 0.49 0.52 0.56 0.63

Jun 0.39 0.47 0.45 0.52 0.59 0.63

Jul 0.37 0.42 0.44 0.60 0.52 0.64

Aug 0.37 0.39 0.46 0.53 0.55 0.63

Sep 0.40 0.41 0.47 0.44 0.58 0.68

Oct 0.41 0.44 0.45 0.45 0.47 0.54 Nov 0.39 0.46 0.40 0.56 0.63 0.54 Dec 0.42 0.40 0.46 0.48 0.57 0.53 Year 0.24 0.36 0.43 0.54 0.51 0.62

Page 17: Ippolitov I. I., Kabanov M. V., Komarov A. I., Kuskov A. I., Loginov S. V., Smirnov S. V. Structure and Dynamics of Ground Temperature and Pressure Fields

Amount of days per year with different types of atmospheric circulation in the Northern hemisphere: 1 – zonal, 2 – un-zonal, 3 – north meridional, 4 – south meridional (climatic trends and 11-years oscillations are also shown)

Day

Year

Byshev et al. Doklady Earth Sci., 385, 5, 538 (2002)

2

1

3

4