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Fourth Study Conference on BALTEX Scala Cinema Gudhjem

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W(12 UTC) = 24.4 mm, W(00 UTC) = 25.5 mm, the<br />

difference, ∆ W = – 1.1 mm, or – 4.5% from the daily mean<br />

of W, is c<strong>on</strong>siderably less than standard deviati<strong>on</strong> of<br />

precipitable water in Tallinn (3.3 mm).<br />

W (mm)<br />

W (mm)<br />

W (mm)<br />

W (mm)<br />

45<br />

40<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

45<br />

40<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

45<br />

40<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

45<br />

40<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

Spring: R 2 = 0.93<br />

50 52 54 56 58 60 62 64 66 68<br />

Summer: R 2 = 0.67<br />

50 52 54 56 58 60 62 64 66 68<br />

Autumn: R 2 = 0.95<br />

50 52 54 56 58 60 62 64 66 68<br />

Winter: R 2 = 0.86<br />

50 52 54 56 58 60 62 64 66 68<br />

Latitude degree, φ<br />

Figure 2. Precipitable water as a functi<strong>on</strong> of geographical<br />

latitude. Bold straight line <strong>on</strong> each graph – seas<strong>on</strong>al average<br />

for 1989–2002. Thin c<strong>on</strong>tinuous lines just above and below<br />

the seas<strong>on</strong>al mean – extremal m<strong>on</strong>thly mean values. Dotted<br />

lines – the highest and lowest instant values of precipitable<br />

water during a seas<strong>on</strong>.<br />

Apparently, the diurnal cycle of precipitable water depends<br />

<strong>on</strong> geographical locati<strong>on</strong> and is disguised by the variability<br />

resulting from air mass changes.<br />

Sounding profiles, in low vertical resoluti<strong>on</strong> WMO TEMP<br />

format, are accessible for public use at the Web site of the<br />

University of Wyoming (http://www.uwyo.edu). We have<br />

c<strong>on</strong>sidered <strong>on</strong>ly soundings with at least 14 levels, usually<br />

15–30 levels were represented. For each sounding<br />

precipitable water is already calculated and presented <strong>on</strong> the<br />

Web site. Although the calculati<strong>on</strong> scheme is not presented,<br />

- 54 -<br />

it appeared that for each level z, using observed relative<br />

humidity RH, and temperature T(z), water vapor pressure<br />

e(z) = R H·E(T) was calculated. Then, assimilating water<br />

vapor as a perfect gas, its density was found and integrated<br />

al<strong>on</strong>g the vertical profile. It should be menti<strong>on</strong>ed, that<br />

following the WMO recommendati<strong>on</strong>s, saturati<strong>on</strong> water<br />

vapor pressures E(T), for temperatures less than 0°C, were<br />

also calculated with respect to water (WMO, 1988).<br />

3. Precipitable water versus the latitude degree<br />

In order to study tendency of increase of precipitable<br />

water W in southern directi<strong>on</strong>, we averaged the 00 UTC<br />

values of W over four seas<strong>on</strong>s:<br />

1) spring (M – March, A – April, M – May),<br />

2) summer (J – June, J – July, A – August),<br />

3) autumn (S – Sept., O – October, N – November),<br />

4) winter (D – December, J – January, F – February).<br />

For all seas<strong>on</strong>s a linear formula<br />

W (seas<strong>on</strong>) = a·ϕ + b (3)<br />

expressed latitudinal dependence of seas<strong>on</strong>al means of W<br />

<strong>on</strong> the latitude degree ϕ (Table 2). Scatter of seas<strong>on</strong>al<br />

means of precipitable water from the linear law is greatest<br />

during summer and winter (R 2 = 0.67 and 0.86<br />

respectively) when atmosphere is horiz<strong>on</strong>tally less mixed.<br />

Table 2. Coefficients a, b and correlati<strong>on</strong> R 2 .<br />

Seas<strong>on</strong> a b R 2<br />

Spring – 0.382 33.5 0.934<br />

Summer – 0.345 41.3 0.675<br />

Autumn – 0.406 37.7 0.945<br />

Winter –0.287 25.2 0.862<br />

Figure 2, besides a visual c<strong>on</strong>firmati<strong>on</strong> of applicability of<br />

linear formula (3) for seas<strong>on</strong>al means of precipitable<br />

water, c<strong>on</strong>tains informati<strong>on</strong> <strong>on</strong> extremal (maximal and<br />

minimal) instant values of W, and m<strong>on</strong>thly mean extremal<br />

values during each seas<strong>on</strong>. For example, instant values of<br />

precipitable water in the Baltic regi<strong>on</strong> never exceeded 45<br />

mm, and m<strong>on</strong>thly means 33 mm. During the winter seas<strong>on</strong><br />

the lowest values of W are in the range 1–2 mm.<br />

Acknowledgements<br />

This investigati<strong>on</strong> was supported by nati<strong>on</strong>al grants<br />

No. 4140, No. 5475 and No. 5857 of the Est<strong>on</strong>ian Science<br />

Foundati<strong>on</strong>. University of Wyoming is highly appreciated<br />

for making accessible the sounding profiles.<br />

References<br />

WMO, Technical regulati<strong>on</strong>s, vol. 1, General<br />

meteorological standards and recommended practices,<br />

Appendix B, p.1-Ap-B-3, 1988.<br />

Güldner J., Spänkuch D., Results of year-round remotely<br />

sensed integrated water vapor by ground-based<br />

microwave radiometry, J. Appl. Met., 38, 981–989,<br />

1999.<br />

Okulov O., Ohvril H., Kivi R., Atmospheric precipitable<br />

water in Est<strong>on</strong>ia, 1990–2002, Boreal Envir<strong>on</strong>ment<br />

Research, 7, 291–300, 2002.

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