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<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:contributor>Michael R. Karlinger</dc:contributor>
  <dc:creator>Brent M. Troutman</dc:creator>
  <dc:date>1985</dc:date>
  <dc:description>&lt;p&gt;&lt;span&gt;The instantaneous unit Hydrograph (IUH) of a drainage basin is derived in terms of fundamental basin characteristics (&lt;/span&gt;&lt;i&gt;Z&lt;/i&gt;&lt;span&gt;, α, β), where α parameterizes the link (channel segment) length distribution, and β is a vector of hydraulic parameters,&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;i&gt;Z&lt;/i&gt;&lt;span&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;is one of three basin topological properties,&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;i&gt;N&lt;/i&gt;&lt;span&gt;, (&lt;/span&gt;&lt;i&gt;N&lt;/i&gt;&lt;span&gt;,&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;i&gt;D&lt;/i&gt;&lt;span&gt;), or (&lt;/span&gt;&lt;i&gt;N&lt;/i&gt;&lt;span&gt;,&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;i&gt;M&lt;/i&gt;&lt;span&gt;), where&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;i&gt;N&lt;/i&gt;&lt;span&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;is magnitude (number of first-order streams),&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;i&gt;D&lt;/i&gt;&lt;span&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;is diameter (mainstream length), and&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;i&gt;M&lt;/i&gt;&lt;span&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;is order. The IUH is derived based on assumptions that the links are independent and identically distributed random variables and that the network is a member of a topologically random population. Linear routing schemes, including translation, diffusion, and general linear routing are used, and constant drainage density is assumed. By using (&lt;/span&gt;&lt;i&gt;N&lt;/i&gt;&lt;span&gt;, α, β) as the fundamental basin characteristics, asymptotic (for large&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;i&gt;N&lt;/i&gt;&lt;span&gt;) considerations lead to a Weibull probability density function for the IUH, with time to peak given by&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;i&gt;t&lt;sub&gt;p&lt;/sub&gt;&lt;/i&gt;&lt;span&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;= (2&lt;/span&gt;&lt;i&gt;N&lt;/i&gt;&lt;span&gt;)&lt;/span&gt;&lt;sup&gt;½&lt;/sup&gt;&lt;span&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;α&lt;/span&gt;&lt;sup&gt;*&lt;/sup&gt;&lt;span&gt;/β&lt;/span&gt;&lt;sup&gt;*&lt;/sup&gt;&lt;span&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;where α&lt;/span&gt;&lt;sup&gt;*&lt;/sup&gt;&lt;span&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;is mean link length, and β&lt;/span&gt;&lt;sup&gt;*&lt;/sup&gt;&lt;span&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;is a scalar hydraulic parameter (usually average celerity). This asymptotic IUH is identical for all linear routing schemes.&lt;/span&gt;&lt;/p&gt;</dc:description>
  <dc:format>application/pdf</dc:format>
  <dc:identifier>10.1029/WR021i005p00743</dc:identifier>
  <dc:language>en</dc:language>
  <dc:publisher>American Geophysical Union</dc:publisher>
  <dc:title>Unit hydrograph approximations assuming linear flow through topologically random channel networks</dc:title>
  <dc:type>article</dc:type>
</oai_dc:dc>