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analysis of seasonal extreme flows using peaks over threshold method

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Analysis <strong>of</strong> <strong>seasonal</strong> <strong>extreme</strong> <strong>flows</strong> <strong>using</strong> Peaks <strong>over</strong> <strong>threshold</strong> <strong>method</strong><br />

− the value <strong>of</strong> mean daily discharge extracted is<br />

higher than the values on preceding day and next<br />

day;<br />

− for winter POT data it is considered that the values<br />

<strong>of</strong> mean daily discharge between two days on<br />

which POT data were recorded do not change<br />

significantly <strong>over</strong> time and remain low during<br />

a few days;<br />

− for summer POT data, when basin response to<br />

rainfall is fast, time interval between days on<br />

which POT data were recorded is three days at<br />

least and the values <strong>of</strong> mean daily discharge between<br />

two days on which POT data were recorded<br />

do not change significantly <strong>over</strong> time and<br />

remain low during a few days; minimum value <strong>of</strong><br />

mean daily discharge in this time interval is low.<br />

Results and discussion<br />

Time series plots have been used to reveal the<br />

temporal distribution <strong>of</strong> the values <strong>of</strong> mean daily<br />

discharge above the <strong>threshold</strong>s selected in two records.<br />

In winter seasons at the lower <strong>threshold</strong><br />

(68 l s -1 km -2 ), the frequency <strong>of</strong> occurrence <strong>of</strong> hydrological<br />

events caused by snow melting does not<br />

change remarkably in single decades (Fig. 2). The<br />

highest event frequency emerges in the 1974/75 –<br />

1983/84 decade. However, at the upper <strong>threshold</strong><br />

(156 l s -1 km -2 ) a contrast between the 1964/65–<br />

1983/84 and 1984/85 – 2003/04 periods is evident<br />

with the highest event frequency in the 1974/75 –<br />

1983/84 decade. Fig. 2. reveals that the most <strong>extreme</strong><br />

values <strong>of</strong> mean daily discharge occurred in<br />

the 1964/65 – 1983/84 period.<br />

In summer half years, event frequency varies<br />

markedly <strong>over</strong> decades at both <strong>threshold</strong>s (the<br />

lower one is 52 l s -1 km -2 and the upper one is 130<br />

l s -1 km -2 ) with more decreasing trends at the upper<br />

<strong>threshold</strong> (Fig. 3). The most <strong>extreme</strong> values <strong>of</strong><br />

mean daily discharge especially occurred in the<br />

1964/65 – 1973/74 decade, while in the 1974/75 –<br />

2003/04 period, the event frequency was very low.<br />

When both seasons are considered, on average,<br />

the 1964/65 – 1973/74 decade emerges as the decade<br />

with the highest event frequency (mostly in<br />

summer and less in winter) <strong>using</strong> data extracted<br />

above the upper <strong>threshold</strong>. High event frequency at<br />

the upper <strong>threshold</strong> also emerges in the 1974/75 –<br />

1983/84 decade (especially in winter). Comparison<br />

<strong>of</strong> the values <strong>of</strong> mean daily discharge shows that<br />

higher values occurred during snow melting (Fig.<br />

4). The four highest values, however, were recorded<br />

during summer <strong>extreme</strong> hydrometeorological<br />

events. It is obvious that these values occurred<br />

<strong>over</strong> the 1964/65 – 1973/74 decade. It is confirmed<br />

that the most <strong>extreme</strong> discharge values were recorded<br />

<strong>over</strong> this decade.<br />

350<br />

300<br />

winter<br />

summer<br />

250<br />

Q [l.s -1 .km 2 ]<br />

200<br />

150<br />

100<br />

50<br />

0<br />

0 5 10 15 20 25 30 35 40<br />

Fig. 4. The ascending line <strong>of</strong> 40 the highest values <strong>of</strong> mean daily discharge for summer and winter hydrological years <strong>over</strong><br />

the 40-years period in the Rybárik basin.<br />

Obr. 4. Vzostupný rad 40-tich najvyšších hodnôt priemerných denných prietokov pre zimné a letné hydrologické polroky za 40-ročné<br />

obdobie v povodí Rybárik.<br />

19

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