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The prediction The prediction of equatorial total ozone of equatorial total ozone up to the end of 2018 basing on the up to the end of 2018 basing on the exact seasonal synchronization exact seasonal synchronization the quasi-biennial oscillation (QB the quasi-biennial oscillation (QB equatorial stratospheric zonal wi equatorial stratospheric zonal wi Irina P. Gabis and Oleg A. Troshichev Irina P. Gabis and Oleg A. Troshichev Arctic and Antarctic Research Institute St. Petersburg

The prediction of equatorial total ozone up to the end of 2018 basing on the exact seasonal synchronization of the quasi-biennial oscillation (QBO) of

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The predictionThe prediction of equatorial total ozoneof equatorial total ozone

up to the end of 2018 basing on theup to the end of 2018 basing on the exact seasonal synchronization exact seasonal synchronization

of the quasi-biennial oscillation (QBO)of the quasi-biennial oscillation (QBO) of equatorial stratospheric zonal windof equatorial stratospheric zonal wind

Irina P. Gabis and Oleg A. TroshichevIrina P. Gabis and Oleg A. Troshichev

Arctic and Antarctic Research Institute St. Petersburg

QBO influence on the weather and climateQBO influence on the weather and climatemotivates the prediction ofmotivates the prediction of QBO cycle evolutionQBO cycle evolution

QBO affects the atmosphere globally

Antarctic ozone hole

equatorial QBO

modulation of solar activity effects

polar stratospheric warmings

atmospheric ozone layer

trace gas distribution

meridional circulation

………

85 86 87 88 89 90 917050

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EE WWW

WWW E E

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ssur

e, h

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Long-term prediction is based onthe exact seasonal synchronization of the QBO

1. Easterly descends with stagnation in each QBO cycle.2. Stagnation starts always near solstice

and ends always near equinox.

2003 2006 2009 2012 2015 2018-40

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verification: korrelation R=0.95

U,

m/s

Observed Predicted Wind, 30 hPa

forecast

2003 2006 2009 2012 2015 2018

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Observed PredictedTotal ozone anomaly

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Time – height section of zonal winds (m/s) at the equatorial stations for 1993 - 2008; westerlies are shaded.

Quasi – Biennial Oscillation (QBO) is a quasi-periodic alternation of zonal wind direction in the tropical stratosphere as a consequence of descent of EASTERLY and WESTERLY wind regimes in a layer from ~16 to ~50 km.

http://www.geo.fu-berlin.de/en/met/ag/strat/produkte/qbo/index.html Freie Universität Berlin, Department of Earth Sciences,

Institute of Meteorology, Physics of the Middle Atmosphere

According to common belief:

QBO period varies from cycle to cycle in range from 17 to 38 months, mean QBO period is ~28 months;

There is only some tendency for the QBO-phase changes to occur in specific seasons – “seasonal modulation”;

The predictability of the QBO is reduced due to the unpredictable EASTERLY delays in a layer 20 – 25 km (40 – 50 hPa);

QBO of zonal wind can be accurately predicted for several months in advance.

The Quasi-Biennial-Oscillation (QBO) Data Serie http://www.geo.fu-berlin.de/en/met/ag/strat/produkte/qbo/index.html

Freie Universität Berlin, Department of Earth Sciences, Institute of Meteorology, Physics of the Middle Atmosphere

Analysis of the height profiles of wind speedusing the measurements at equatorial stations

for pressure levels from 70 to 10 hPa (~ 16-31 km) in 1953-2015.

U > 0 m/s: WesterlyU < 0 m/s: Easterly

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Monthly mean zonal wind components (0.1 m/s) at Singapore (48698), 1N/104E; 2006

hPa JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC 10 171 127 116 6 69 19 -21 -28 -54 -137 -228 -200 15 165 152 166 94 132 132 114 62 73 -7 -139 -206 20 94 164 176 126 141 173 131 65 76 14 -123 -210 30 -288 -93 83 85 106 123 126 71 109 93 89 73 40 -271 -261 -240 -48 89 110 117 99 133 110 89 118 50 -152 -138 -154 -201 -71 79 107 86 109 92 104 124 70 -14 -63 -31 -72 -125 -110 -24 8 68 76 62 81

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, hP

a E

w

Jan 07

U, m/s

28 hPa

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AugSep

U, m/s

Oct

Sep

P, h

Pa

Nov

Oct

2006

DecNov

Jan

Dec

JanFeb

2007

FebMar

Mar

AprApr

May

May

JunJun

JulJul

Aug

Easterly descent stops at P ~28 hPa.

The stagnation lasts one season from

December 2006 to March 2007.

Easterly descent from August 2006 to August 2007

Easterly descends in August 2006 - December 2006. The

lowest pressure level P of easterly decreases from 10 hPa to ~28 hPa.

Easterly descent is resumed after March 2007. The pressure level

decreases from ~29 hPa in March 2007 to ~70 hPa in August 2007.

From January 1953 to February 2015 27 events of easterly wind regime descent from ~10 to ~70 hPa were observed.

The stagnation of easterly downward propagation (marked by yellowyellow) was observed during each QBO cycle,

not just occasionally in some QBO cycles, as is commonly believed.

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1955 - 1956

AprMay-Aug Sep

Oct Nov Dec

Jan Feb Mar

Apr May Jun

JulAug-Nov Dec

1957 - 1958

1959 - 1960

1961 - 1962

1969 - 1970

1971 - 1972

1973 - 1974

P, h

Pa

1995 - 1996

1997 - 1998

2004 - 2005

U, m/s

U, m/s

2006 - 2007 U, m/s

U, m/s

U, m/s

Four types of easterly stagnation

Easterly halts near solstice in December – January and is resumed about equinox in September – October.

SHORT stagnation – one season from solstice to first equinox. Easterly halts near solstice in

December – January and is resumedabout equinox in March – April.

Easterly halts near solstice in June – July and

is resumed about equinox in March-April of the next year.

Very LONG stagnation – five seasons from solstice to third equinox

LONG stagnation – three seasons from solstice to second equinox

Easterly halts near solstice in December – January and is resumed about equinox in March-April of the next year.

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1975 - 1976

Oct Nov Dec

JanFebMar

AprMayJun

JulAugSep

OctNovDec

1980 - 1981

1985 - 1986

P, h

Pa

1990 - 1991

1999 - 2000

2008 - 2009

U, m/s U, m/s

U, m/s

U, m/s

2013 - 2014

U, m/s

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1953 - 1954

Apr May Jun

JulAugSep

OctNovDec

JanFebMar

AprMayJun

1978 - 1979

1983 - 1984

P, h

Pa

1988 - 1989

1993 - 1994

2002 - 2003

U, m/s U, m/s

U, m/s

U, m/s

2011 - 2012

U, m/s

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1963 - 1965

Oct Nov Dec

JanFebMar

AprMayJun

JulAugSep

OctNovDec

JanFebMar

AprMayJun

1966 - 1968

U, m/s

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Pa

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U, m/s

SummaryExperimental analysis of the zonal wind changes has shown:

1:1: The stagnation (delay) during descent of the easterly wind regime is typical feature inherent to each QBO cycle.

2:2: The stagnation always starts near the solstice (in January or July) and always ends in subsequent first, second or third equinox (in April or October).

3:3: As a result, the duration of stagnation turns out to be one, three or five seasons (3, 9 or 15 months).

4.4. Four types of the easterly stagnation can be observed (depending on the duration and the time of start/end).

5:5: The stagnation pressure level varies from ~20 to ~ 40 hPa in different QBO cycles.

Seasonal regularities of the Seasonal regularities of the easterly stagnation stagnation results in the discretely varying period of the QBO cycleresults in the discretely varying period of the QBO cycle

FourFour types of the easterly stagnation results in fourfour types of the QBO cycle scenario. The length of each QBO cycle is unambiguously associated with duration of the corresponding

stagnation

24-month QBO cycle:start in January

end in December

30-month QBO cycle:start in January

end in June

30-month QBO cycle:start in July

end in December

36-month QBO cycle:start in January

end in December

STAGNATION:start in solsticeend in equinox

Interval between the beginnings of

successive stagnations

1 seasonJanuary-March

3 seasonsJanuary-September

3 seasonsJuly-March

5 seasonsJanuary-March

Interval between the end of the stagnation and the start of the next stagnation

7 seasons

April – December

7 seasons

October – June

7 seasons April – December

7 seasons

April – December

QBO-cyclenumber

24-monthscenario

30-month scenario36-monthscenariobeginning in January beginning in July

1     Jul 53 – Dec 55  2 Jan 56 – Dec 57      3 Jan 58 – Dec 59      4 Jan 60 – Dec 61      5 Jan 62 – Dec 63      6       Jan 64 – Dec 667       Jan 67 – Dec 698 Jan 70 – Dec 71      9 Jan 72 – Dec 73      

10 Jan 74 – Dec 75      11   Jan 76 – Jun 78    12     Jul 78 – Dec 80  13   Jan 81 – Jun 83    14     Jul 83 – Dec 85  15   Jan 86 – Jun 88    16     Jul 88 – Dec 90  17   Jan 91 – Jun 93    18     Jul 93 – Dec 95  19 Jan 96 – Dec 97      20 Jan 98 – Dec 99      21   Jan 00 – Jun 02    22     Jul 02 – Dec 04  23 Jan 05 – Dec 06      24 Jan 07 – Dec 08      25   Jan 09 – Jun 11    26     Jul 11 – Dec 13  27   Jan 14 – Jun 16    28     Jul 16 – Dec 18  

All QBO cycles of different periods in interval from 1953 to 2018

Eleven QBO cycles of 24-month scenario

Profiles for first, second and third month during each season are shown by bold, dashed and thin lines, respectively. Time periods corresponding to stagnation stage are marked by light yellow fill. 36-month QBO cycles are not shown.

Six QBO cycles of 30-month scenario (start in January)

30-month QBO cycle, which began in January, is followed, evidently, by the QBO cycle, which began in July.

Seven QBO-cycles of30-month scenario

(start in July)

All QBO cycles of different periods in interval from 1953 to 2014

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1970-1972

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1962-1964

1972-1974

1974-1976

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Jan Feb Mar

1956-1958

1958-1960

1960-1962

AprMayJun

JulAugSep

OctNovDec

Jan Feb Mar

AprMayJun

JulAugSep

OctNovDec

JanFebMar

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2007-2009

1996-1998

2005-2007

1998-2000

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1991-1993

2000-2002

2009-2011

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P,

hP

a

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1976-1978

1981-1983

1986-1988

AprMayJun

JulAugSep

OctNovDec

Jan Feb Mar

AprMayJun

JulAugSep

OctNovDec

Jan Feb Mar

AprMayJun

JulAugSep

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1988-1991

1993-1996

2002-2005

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P,h

Pa

2011-2014

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1953-1956

1978-1981

1983-1986

OctNovDec

JanFebMar

AprMayJun

JulAugSep

OctNovDec

JanFebMar

AprMayJun

JulAugSep

OctNovDec

JanFebMar

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The average patterns of the wind structure evolutionfor QBO cycles of different periods

The mean height wind profiles typical of different QBO

scenarios have been derived. Each group of three profiles shows the changes during a single season, the standard error of the mean value being shown by a horizontal line at each altitude along the profiles. Stagnation stage Intervals are marked by light yellow.

FORECASTThe mean wind profiles are used as a base for prediction of the QBO cycle evolution and times of changes of QBO phase at different pressure levels.

The stagnation stage is identified by a steady halt in descent of EASTERLY. Stagnation stage length plus the seven-season interval determine the QBO-cycle duration.

THE METHOD WAS VERIFIED FOR QBO CYCLES

PROCEEDED IN 2005-2014.

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24-month scenario

JanFebMar

U, m/s

30-month scenario (beginning in January)

P, hPa

AprMayJun

JulAugSep

OctNovDec

JanFebMar

AprMayJun

JulAugSep

OctNovDec

JanFeb Mar

AprMayJun

JulAugSep

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Jan Feb Mar

AprMayJun

JulAugSep

OctNovDec

JanFebMar

AprMayJun

JulAugSep

OctNovDec

JanFebMar

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U, m/s

30-month scenario (beginning in July)

OctNovDec

JanFebMar

AprMayJun

JulAugSep

OctNovDec

JanFebMar

AprMayJun

JulAugSep

OctNovDec

JanFebMar

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2006

2005

2005

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Dec

Wind profiles for period from January 2005 to December 2006.

QBO-cycle was developed according to 24-month scenario and completed in December 2006. The next QBO cycle should start in January 2007 (Gabis, I.P., Troshichev,

O.A., J. Atmos. Sol. Terrestrial Phys. v.68. pp.1987-1999. 2006).

Wind profiles for period from January 2007 to December 2008.

QBO-cycle was developed according to 24-month scenario and completed in December 2008. The next QBO cycle should start in January 2009 (Gabis, Troshichev, in: Wang, P. (Ed.), Solar Physics Research Trends. Nova Science

Publishers, Inc., New York, 165-194, 2008).

Verification of the previous forecasts.Black profiles are those that were predicted, red profiles are the really observed profiles.

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2007

Feb

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Dec

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Wind profiles for period from January 2009 to June 2011.

QBO-cycle was developed according to 30-month scenario and completed in June 2011. The next QBO cycle should start in July 2011 (Gabis, I.P., Troshichev, O.A., Geomagnetism and

Aeronomy. v.51. 501-512, 2011).

Wind profiles for period from July 2011 to December 2013.

QBO-cycle was developed according to 30-month scenario and completed in December 2013. The next QBO cycle should start in January 2014 (Gabis, I.P., J. Atmos. Sol.

Terrestrial Phys. v.80. 79-91. 2012).

Verification of the previous forecasts.Black profiles are those that were predicted, red profiles are the really observed profiles.

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Verification of the previous forecasts shows a very well agreement between

the predicted and really observed variations

Now the prediction is possible up to the end of 2018

2003 2005 2007 2009 2011 2013 2015 2017 2019

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forecast verification korrelation R=0.95

U, m

/s

year

Observed Predicted 24 Jan 30 Jan 30 Jul

Wind, 30 hPa

forecast

QBO cycle onset

Stagnation durationQBO cycle

periodNext QBO cycle onset

January 1 seasons (January – March)

24 months January after a lapse of 2 years

January 3 seasons(January–September)

30 months July after a lapse of 2.5 years

July 3 seasons (July–December–March)

30 months January after a lapse of 2.5 years

January 5 seasons(January–December–March)

36 months(low probability)

January after a lapse of 3 years

Forecast of the next QBO cycle onset based on the observed duration of the stagnation

If the stagnation, starting in January, is If the stagnation, starting in January, is not completednot completed in 3 months, the forecast is real for two subsequent QBO in 3 months, the forecast is real for two subsequent QBO cycles, i.e. for 5 years in advance (since the OBO cycles starting in July always last 30 months).cycles, i.e. for 5 years in advance (since the OBO cycles starting in July always last 30 months).

After the onset of 30-month QBO cycle in After the onset of 30-month QBO cycle in January 2014January 2014the prediction is possible for the next the prediction is possible for the next 5 years

The 36-month QBO cycle is apparently anomalous, and its probability is low.

Prediction for the next two QBO cycles in 2014-2018 Basing on the total regularities of the QBO cycle evolution we predict that:

The predicted wind profiles are marked by black.

The really observed wind profiles in January 2014 - March 2015 are marked by red.

QBO-cycle, starting in January 2014, will last

30 months and will complete in June 2016. QBO-cycle, starting in July 2016, will last

30 months and will complete in December 2018

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QBO cycle onset Stagnation stage duration QBO cycle period FORECASTof the next QBO cycle onset

January 1 season January – March 24 months January

after a lapse of 2 years

January 3 seasons January – September 30 months July

after a lapse of 2.5 years

As the next QBO cycle should have started in January 2019, it could develop in two alternative ways:

Consequently, Consequently, in the end of 2018 the reliable prediction ofof QBO cycle evolution will be possible only for the initial part of this cycle – as far as April 2019.

Two options of QBO evolution:

(1) 24-month scenario: the stagnation stage terminates in April 2019 and EASTERLY descent lower 40-50 hPa resumes in May-June 2019;(2) 30-month scenario:the stagnation stage does not terminate in April 2019 and EASTERLY descent to 50 hPa is put off until September 2019.

Before 24-month QBO cycle the EASTERLY descends

more quickly than before 30-month QBO cycle.

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30-month scenario

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24-month scenario

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The long-term predictability of QBO in equatorial total ozone (TOZ) The long-term predictability of QBO in equatorial total ozone (TOZ)

In figure: Mean ΔTOZ during QBO cycles of different scenarios.

(ΔTOZ – deseasonalized TOZ at latitudes from 5°S to 5°N)

The wind QBO affects the ΔTOZ variations in equatorial region:WESTERLY descent associated with growth of ΔTOZ, EASTERLY descent associated with decrease of ΔTOZ

The increase phase of ΔTOZ has approximately the same duration in all types of QBO scenarios and continues always within one year.

The duration of ΔTOZ decrease phase can be equal to one year or one and half a year depending on the sequence of the QBO cycles of different scenarios.

The decrease phase of ΔTOZ continues about half a year in course of the current QBO cycle and later during half a year or one year in course of the next 24-month or 30-month QBO cycle, respectively. This is in accordance with the more prolonged stage of stagnation in 30-month scenarios.

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Pa

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30-month scenario (beginning in January)

P, h

Pa

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OZ

, D

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OZ

, DU

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, D

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Total ozone variations during the sequence of QBO cycles in 1978-2014

Actually observed ΔTOZ changes (5°N-5°S) are shown by black thin line with circles,Mean ΔTOZ variations are shown by thick red and blue lines.The mean ΔTOZ is aligned in agreement with the actually occurred sequence of QBO scenarios.

Calculated mean ΔTOZ variations accord well with the experimental ΔTOZ: R=0.83. During series of 24-month QBO cycles the minima and maxima of ozone alternate with one year interval, so the phases of ozone increase and decrease are of the same length. During series of 30-month QBO cycles the increase in ozone continues within a year, but the decrease continues one and half a year.The forecast of the wind QBO allows a prediction of the QBO related anomalies in total ozone.

79 81 83 85 87 89 91 93 95 97 99 01 03 05 07 09 11 13-20

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Z,

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Prediction of the total ozone up to the end of 2018

The mean ΔTOZ variations can be used as empirical model of the ozone QBO in course of the sequence of different scenario QBO cycles.

From January 2014 to June 2016 – 30 month QBO cycle. From July 2016 to December 2018 – 30 month QBO cycle.

In January 2019 – the onset of the next QBO-cycle, which can develop in two alternative options: 24- or 30-month QBO scenario.

2008 2010 2012 2014 2016 2018

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Z,

DU

Observed TOZ(5N-5S) Predicted 24 Jan Predicted 30 Jan Predicted 30 Jul

Prediction of maximum and minimum ΔTOZ in 2015-2018in 2015-2018

2014 2015 2016 2017 2018 2019-15

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year

TO

Z,

DU

30-JANUARY 30-JULY30-JANUARY

24-JANUARY

Maximum ΔTOZ – at the end of 2015/beginning of 2016 and in the middle of 2018.Minimum ΔTOZ – at the end of 2014/beginning of 2015 and in the middle of 2017.

The next minimum ΔTOZ will be observed in the middle or at the end of 2019 depending on the type of next wind QBO-scenario.

2014 2015 2016 2017 2018 2019-15

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30-JANUARY 30-JULY30-JANUARY

24-JANUARY

Prediction of maximum and minimum ΔTOZ in 2015-2018in 2015-2018

The wind profile changes during last The wind profile changes during last months before months before 24-month24-month and and 30-month30-month

QBO-scenarios.QBO-scenarios.

Before 24-month QBO-cycle the EASTERLY descends more quickly than before 30-month QBO-cycle.Therefore the decrease of ΔTOZ is faster and minimum of ΔTOZ is observed earlier in

24-month QBO cycle (in the middle 2019), than in 30-month QBO cycle (at the end of 2019).

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SEP

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P, hPa

CONCLUSIONSCONCLUSIONS

1. The EASTERLY wind regime descent demonstrates an invariable relation to seasons:The EASTERLY halts near the solstice and is resumed in one of subsequent equinoxes. Seasonal attachment of the

stagnation causes its discrete length: one, three, or five seasons.The discrete duration of stagnation predetermines the discreteness of the QBO periods: 24, 30, or 36 months.

2. The discretely varying length of the EASTERLY stagnation and the discreteness of QBO period cause the quite definite duration of decrease and increase phases of the QBO related anomalies of equatorial total ozone (TOZ).

The increase phase of TOZ has the same duration in all types of QBO scenarios and continues always within a year.The length of TOZ decrease phase varies discretely and can be equal to one year or one and half a year depending on the

sequence of the QBO scenarios.

3. Seasonal regularity of the EASTERLY descent and arising from it the discreteness of the QBO period makes it possible to forecast the duration of current QBO cycle and the starting date of next QBO cycle.

The technique for prediction of the QBO cycle evolution has been elaborated basing on the wind height profiles data and verified for QBO cycle proceeded during 2005-2014.

4. Basing on the total regularities of QBO cycle evolution the prediction has been made for the next two QBO cycles in 2014-2018:

The current QBO cycle starting in January 2014 will last 30 months and will end in June 2016. The subsequent QBO cycle will begin in July 2016 and will complete in December 2018. Hereafter the next QBO cycle will begin in January 2019, and regular stagnation will continue at least until March-April 2019.

5. The forecast of the wind QBO provides the ability to predict the QBO related variations of equatorial total ozone up to the end of 2018:

Maximum TOZ will be observed at the end of 2015/beginning of 2016 and in the middle of 2018,Minimum TOZ will be observed at the end of 2014/beginning of 2015 and in the middle of 2017.The next minimum TOZ will be observed in the middle or at the end of 2019 depending on the type of next wind QBO scenario.

At present the questions remain open:

(1) what causes the stagnation during each easterly wind regime descent?

(2) why are the stagnations with beginning in July always long?

(3) what is the reason of two alternative durations (long or short) of stagnations with beginning in January?

The additional investigations are necessary to further elucidate the physical mechanism of the stagnation in course of the easterly wind regime descent.

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24 Jan 30 Jan 30 Jul 36 Jan

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Solar Radio Flux

The occurrence of short and long stagnations (and, correspondingly, 24- , 30- and 36-month cycles) with respect to the phase of the 11-year solar cycle contradicts the conclusion about the relationship of the QBO period with

the11-year cycle (correlation and anticorrelation)