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<front>
<journal-meta>
<journal-id journal-id-type="publisher">EGUsphere</journal-id>
<journal-title-group>
<journal-title>EGUsphere</journal-title>
<abbrev-journal-title abbrev-type="publisher">EGUsphere</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">EGUsphere</abbrev-journal-title>
</journal-title-group>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/egusphere-2026-5897</article-id>
<title-group>
<article-title>Conditional Design Flood Hydrograph Derivation Considering Spatially Heterogeneous Rainfall and Nonlinear Nonstationary Routing</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Feng</surname>
<given-names>Jing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Duan</surname>
<given-names>Jiacheng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Li</surname>
<given-names>Jianzhu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Song</surname>
<given-names>Hongdong</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Wang</surname>
<given-names>Bin</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Chen</surname>
<given-names>Xu</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Wang</surname>
<given-names>Hao</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>State Key Laboratory of Hydraulic Engineering Intelligent Construction and Operation, Tianjin University, Tianjin 300350,  China</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing 100038, China</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Hebei Baoding Hydrological Survey and Research Center, Baoding 071000, China</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>Hydrographic Bureau, Haihe River Water Conservancy Commission，MWR, Tianjin 300170, China</addr-line>
</aff>
<pub-date pub-type="epub">
<day>19</day>
<month>10</month>
<year>2026</year>
</pub-date>
<volume>2026</volume>
<fpage>1</fpage>
<lpage>35</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2026 Jing Feng et al.</copyright-statement>
<copyright-year>2026</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://egusphere.copernicus.org/preprints/2026/egusphere-2026-5897/">This article is available from https://egusphere.copernicus.org/preprints/2026/egusphere-2026-5897/</self-uri>
<self-uri xlink:href="https://egusphere.copernicus.org/preprints/2026/egusphere-2026-5897/egusphere-2026-5897.pdf">The full text article is available as a PDF file from https://egusphere.copernicus.org/preprints/2026/egusphere-2026-5897/egusphere-2026-5897.pdf</self-uri>
<abstract>
<p>Design flood hydrographs are jointly influenced by the spatial distribution of rainfall, antecedent wetness states, and catchment runoff generation and routing responses. Taking the XDY Basin as the study area, this study develops a conditional design flood hydrograph derivation framework that accounts for spatially heterogeneous rainfall and nonlinear nonstationary routing. Ensemble Rainfall-Runoff Analysis (ERRA) is used to identify rainfall-runoff responses under different antecedent wetness states, net rainfall intensities, and spatial subregions, based on which state-dependent unit hydrographs are constructed. Joint frequency analysis of 96 h total rainfall depth (P96) and maximum 1 h rainfall intensity, together with a common representative rainfall pattern and spatial-response correction, is then used to derive design flood hydrographs under lower (L) and higher (H) antecedent wetness states. For a given return period, the L and H scenarios use the same design rainfall input. The results show that higher antecedent wetness and greater net rainfall intensity produce stronger runoff responses and earlier flood peaks. In the incremental model-structure comparison, the mean Nash-Sutcliffe efficiency (NSE) increased from 0.744 to 0.874. Compared with the L scenario, the H scenario increased peak discharge by 54.4 %&amp;ndash;100.0 %, advanced the time to peak by 19&amp;ndash;27 h, and increased flood volume by 26.6 %&amp;ndash;59.9 %. Event-level paired Bootstrap analysis indicates that statistical uncertainty is concentrated mainly around the rising limb and main flood peak, while the effects of antecedent wetness exhibit good sample stability. The proposed framework provides process-based information for design flood review, flood-control safety assessment, and flood risk analysis.</p>
</abstract>
<counts><page-count count="35"/></counts>
<funding-group>
<award-group id="gs1">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>52579014</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Tianjin Municipal Science and Technology Program</funding-source>
<award-id>25ZXZSSS00440</award-id>
</award-group>
</funding-group>
</article-meta>
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