https://wiki.bluemodel.org/index.php?action=history&feed=atom&title=Wave%3AAnnualRecurrenceProbability 2026-05-07T14:32:46Z Revision history for this page on the wiki MediaWiki 1.39.3 https://wiki.bluemodel.org/index.php?title=Wave:AnnualRecurrenceProbability&diff=7865&oldid=prev 2023-12-09T14:35:23Z

<p>add reference</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:35, 9 December 2023</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l2">Line 2:</td> <td colspan="2" class="diff-lineno">Line 2:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:Wave AnnualRecurrenceProbability.png|thumb|right]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[File:Wave AnnualRecurrenceProbability.png|thumb|right]]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>This analysis method calculates <del style="font-weight: bold; text-decoration: none;">the </del>the annual recurrence probility and the return period of annual maxima using the [https://glossary.ametsoc.org/wiki/Plotting_position <del style="font-weight: bold; text-decoration: none;">Weibull </del>plotting position] method.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>This analysis method calculates the annual recurrence probility and the return period of annual maxima using the <ins style="font-weight: bold; text-decoration: none;">{{:Literature:Weibull_1939|Weibull}} </ins>[https://glossary.ametsoc.org/wiki/Plotting_position plotting position] method.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>First, the maximum value in each hydrological year is determined. The probability of recurrence and the return period are then calculated using the following formulas:</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>First, the maximum value in each hydrological year is determined. The probability of recurrence and the return period are then calculated using the following formulas:</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l22">Line 22:</td> <td colspan="2" class="diff-lineno">Line 22:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Notes==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Notes==</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* If two or more events have the same maximum value, they are assigned the same rank and thus have the same recurrence probability</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* If two or more events have the same maximum value, they are assigned the same rank and thus have the same recurrence probability</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">==Literature==</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;references/></ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:BlueM.Wave|A]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:BlueM.Wave|A]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Analysis functions|A]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Analysis functions|A]]</div></td></tr> </table>

Froehlich https://wiki.bluemodel.org/index.php?title=Wave:AnnualRecurrenceProbability&diff=7861&oldid=prev 2023-12-09T14:02:39Z

<p>Froehlich moved page <a href="/index.php/Wave:AnnualRecurrenceProbabilty" class="mw-redirect" title="Wave:AnnualRecurrenceProbabilty">Wave:AnnualRecurrenceProbabilty</a> to <a href="/index.php/Wave:AnnualRecurrenceProbability" title="Wave:AnnualRecurrenceProbability">Wave:AnnualRecurrenceProbability</a>: typo</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <tr class="diff-title" lang="en"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:02, 9 December 2023</td> </tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

Froehlich https://wiki.bluemodel.org/index.php?title=Wave:AnnualRecurrenceProbability&diff=7859&oldid=prev 2023-12-09T13:35:48Z

<p>Created page with &quot;{{wave_nav}} <a href="/index.php/File:Wave_AnnualRecurrenceProbability.png" title="File:Wave AnnualRecurrenceProbability.png">thumb|right</a> This analysis method calculates the the annual recurrence probility and the return period of annual maxima using the [https://glossary.ametsoc.org/wiki/Plotting_position Weibull plotting position] method. First, the maximum value in each hydrological year is determined. The probability of recurrence and the return period are then calculated using the following formulas: &lt;math&gt;P = \frac{m}{n+1}&lt;/mat...&quot;</p> <p><b>New page</b></p><div>{{wave_nav}}<br /> <br /> [[File:Wave AnnualRecurrenceProbability.png|thumb|right]]<br /> This analysis method calculates the the annual recurrence probility and the return period of annual maxima using the [https://glossary.ametsoc.org/wiki/Plotting_position Weibull plotting position] method.<br /> <br /> First, the maximum value in each hydrological year is determined. The probability of recurrence and the return period are then calculated using the following formulas:<br /> <br /> &lt;math&gt;P = \frac{m}{n+1}&lt;/math&gt;<br /> <br /> and<br /> <br /> &lt;math&gt;T = \frac{1}{P}&lt;/math&gt;<br /> <br /> where<br /> :&lt;code&gt;m&lt;/code&gt;: ordered rank of the event (1 = largest event)<br /> :&lt;code&gt;n&lt;/code&gt;: number of total events/years<br /> :&lt;code&gt;P&lt;/code&gt;: probability of exceedance [-]<br /> :&lt;code&gt;T&lt;/code&gt;: return period [years]<br /> <br /> The analysis results are a result table with all events and their properties, a result chart plotting the return periods and a result series in the main chart containing only the annual maxima.<br /> <br /> ==Notes==<br /> * If two or more events have the same maximum value, they are assigned the same rank and thus have the same recurrence probability<br /> <br /> [[Category:BlueM.Wave|A]]<br /> [[Category:Analysis functions|A]]</div>

Froehlich