<!-- Generated by pkgdown: do not edit by hand -->
<!DOCTYPE html>
<html lang="en">
  <head>
  <meta charset="utf-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, initial-scale=1.0">

<title>Function to calculate maximum time weighted average concentrations from
kinetic models fitted with mkinfit — max_twa_parent • mkin</title>


<!-- jquery -->
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.4.1/jquery.min.js" integrity="sha256-CSXorXvZcTkaix6Yvo6HppcZGetbYMGWSFlBw8HfCJo=" crossorigin="anonymous"></script>
<!-- Bootstrap -->

<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/css/bootstrap.min.css" integrity="sha256-bZLfwXAP04zRMK2BjiO8iu9pf4FbLqX6zitd+tIvLhE=" crossorigin="anonymous" />

<script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script>

<!-- bootstrap-toc -->
<link rel="stylesheet" href="../bootstrap-toc.css">
<script src="../bootstrap-toc.js"></script>

<!-- Font Awesome icons -->
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous" />
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous" />

<!-- clipboard.js -->
<script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script>

<!-- headroom.js -->
<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>

<!-- pkgdown -->
<link href="../pkgdown.css" rel="stylesheet">
<script src="../pkgdown.js"></script>




<meta property="og:title" content="Function to calculate maximum time weighted average concentrations from
kinetic models fitted with mkinfit — max_twa_parent" />
<meta property="og:description" content="This function calculates maximum moving window time weighted average
concentrations (TWAs) for kinetic models fitted with mkinfit.
Currently, only calculations for the parent are implemented for the SFO,
FOMC, DFOP and HS models, using the analytical formulas given in the PEC
soil section of the FOCUS guidance." />


<meta name="robots" content="noindex">

<!-- mathjax -->
<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script>

<!--[if lt IE 9]>
<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
<![endif]-->



  </head>

  <body data-spy="scroll" data-target="#toc">
    <div class="container template-reference-topic">
      <header>
      <div class="navbar navbar-default navbar-fixed-top" role="navigation">
  <div class="container">
    <div class="navbar-header">
      <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar" aria-expanded="false">
        <span class="sr-only">Toggle navigation</span>
        <span class="icon-bar"></span>
        <span class="icon-bar"></span>
        <span class="icon-bar"></span>
      </button>
      <span class="navbar-brand">
        <a class="navbar-link" href="../index.html">mkin</a>
        <span class="version label label-info" data-toggle="tooltip" data-placement="bottom" title="In-development version">1.0.3.9000</span>
      </span>
    </div>

    <div id="navbar" class="navbar-collapse collapse">
      <ul class="nav navbar-nav">
        <li>
  <a href="../reference/index.html">Functions and data</a>
</li>
<li class="dropdown">
  <a href="#" class="dropdown-toggle" data-toggle="dropdown" role="button" aria-expanded="false">
    Articles
     
    <span class="caret"></span>
  </a>
  <ul class="dropdown-menu" role="menu">
    <li>
      <a href="../articles/mkin.html">Introduction to mkin</a>
    </li>
    <li>
      <a href="../articles/FOCUS_D.html">Example evaluation of FOCUS Example Dataset D</a>
    </li>
    <li>
      <a href="../articles/FOCUS_L.html">Example evaluation of FOCUS Laboratory Data L1 to L3</a>
    </li>
    <li>
      <a href="../articles/web_only/FOCUS_Z.html">Example evaluation of FOCUS Example Dataset Z</a>
    </li>
    <li>
      <a href="../articles/web_only/compiled_models.html">Performance benefit by using compiled model definitions in mkin</a>
    </li>
    <li>
      <a href="../articles/twa.html">Calculation of time weighted average concentrations with mkin</a>
    </li>
    <li>
      <a href="../articles/web_only/NAFTA_examples.html">Example evaluation of NAFTA SOP Attachment examples</a>
    </li>
    <li>
      <a href="../articles/web_only/benchmarks.html">Some benchmark timings</a>
    </li>
  </ul>
</li>
<li>
  <a href="../news/index.html">News</a>
</li>
      </ul>
      <ul class="nav navbar-nav navbar-right">
        <li>
  <a href="https://github.com/jranke/mkin/">
    <span class="fab fa-github fa-lg"></span>
     
  </a>
</li>
      </ul>
      
    </div><!--/.nav-collapse -->
  </div><!--/.container -->
</div><!--/.navbar -->

      

      </header>

<div class="row">
  <div class="col-md-9 contents">
    <div class="page-header">
    <h1>Function to calculate maximum time weighted average concentrations from
kinetic models fitted with mkinfit</h1>
    <small class="dont-index">Source: <a href='https://github.com/jranke/mkin/blob/master/R/max_twa_parent.R'><code>R/max_twa_parent.R</code></a></small>
    <div class="hidden name"><code>max_twa_parent.Rd</code></div>
    </div>

    <div class="ref-description">
    <p>This function calculates maximum moving window time weighted average
concentrations (TWAs) for kinetic models fitted with <code><a href='mkinfit.html'>mkinfit</a></code>.
Currently, only calculations for the parent are implemented for the SFO,
FOMC, DFOP and HS models, using the analytical formulas given in the PEC
soil section of the FOCUS guidance.</p>
    </div>

    <pre class="usage"><span class='fu'>max_twa_parent</span><span class='op'>(</span><span class='va'>fit</span>, <span class='va'>windows</span><span class='op'>)</span>

<span class='fu'>max_twa_sfo</span><span class='op'>(</span>M0 <span class='op'>=</span> <span class='fl'>1</span>, <span class='va'>k</span>, <span class='va'>t</span><span class='op'>)</span>

<span class='fu'>max_twa_fomc</span><span class='op'>(</span>M0 <span class='op'>=</span> <span class='fl'>1</span>, <span class='va'>alpha</span>, <span class='va'>beta</span>, <span class='va'>t</span><span class='op'>)</span>

<span class='fu'>max_twa_dfop</span><span class='op'>(</span>M0 <span class='op'>=</span> <span class='fl'>1</span>, <span class='va'>k1</span>, <span class='va'>k2</span>, <span class='va'>g</span>, <span class='va'>t</span><span class='op'>)</span>

<span class='fu'>max_twa_hs</span><span class='op'>(</span>M0 <span class='op'>=</span> <span class='fl'>1</span>, <span class='va'>k1</span>, <span class='va'>k2</span>, <span class='va'>tb</span>, <span class='va'>t</span><span class='op'>)</span></pre>

    <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
    <table class="ref-arguments">
    <colgroup><col class="name" /><col class="desc" /></colgroup>
    <tr>
      <th>fit</th>
      <td><p>An object of class <code><a href='mkinfit.html'>mkinfit</a></code>.</p></td>
    </tr>
    <tr>
      <th>windows</th>
      <td><p>The width of the time windows for which the TWAs should be
calculated.</p></td>
    </tr>
    <tr>
      <th>M0</th>
      <td><p>The initial concentration for which the maximum time weighted
average over the decline curve should be calculated. The default is to use
a value of 1, which means that a relative maximum time weighted average
factor (f_twa) is calculated.</p></td>
    </tr>
    <tr>
      <th>k</th>
      <td><p>The rate constant in the case of SFO kinetics.</p></td>
    </tr>
    <tr>
      <th>t</th>
      <td><p>The width of the time window.</p></td>
    </tr>
    <tr>
      <th>alpha</th>
      <td><p>Parameter of the FOMC model.</p></td>
    </tr>
    <tr>
      <th>beta</th>
      <td><p>Parameter of the FOMC model.</p></td>
    </tr>
    <tr>
      <th>k1</th>
      <td><p>The first rate constant of the DFOP or the HS kinetics.</p></td>
    </tr>
    <tr>
      <th>k2</th>
      <td><p>The second rate constant of the DFOP or the HS kinetics.</p></td>
    </tr>
    <tr>
      <th>g</th>
      <td><p>Parameter of the DFOP model.</p></td>
    </tr>
    <tr>
      <th>tb</th>
      <td><p>Parameter of the HS model.</p></td>
    </tr>
    </table>

    <h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2>

    <p>For <code>max_twa_parent</code>, a numeric vector, named using the
<code>windows</code> argument.  For the other functions, a numeric vector of
length one (also known as 'a number').</p>
    <h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>References</h2>

    <p>FOCUS (2006) &#8220;Guidance Document on Estimating Persistence
and Degradation Kinetics from Environmental Fate Studies on Pesticides in
EU Registration&#8221; Report of the FOCUS Work Group on Degradation Kinetics,
EC Document Reference Sanco/10058/2005 version 2.0, 434 pp,
<a href='http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics'>http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics</a></p>
    <h2 class="hasAnchor" id="author"><a class="anchor" href="#author"></a>Author</h2>

    <p>Johannes Ranke</p>

    <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
    <pre class="examples"><div class='input'>
  <span class='va'>fit</span> <span class='op'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span><span class='op'>(</span><span class='st'>"FOMC"</span>, <span class='va'>FOCUS_2006_C</span>, quiet <span class='op'>=</span> <span class='cn'>TRUE</span><span class='op'>)</span>
  <span class='fu'>max_twa_parent</span><span class='op'>(</span><span class='va'>fit</span>, <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='fl'>7</span>, <span class='fl'>21</span><span class='op'>)</span><span class='op'>)</span>
</div><div class='output co'>#&gt;        7       21 
#&gt; 34.71343 18.22124 </div><div class='input'>
</div></pre>
  </div>
  <div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar">
    <nav id="toc" data-toggle="toc" class="sticky-top">
      <h2 data-toc-skip>Contents</h2>
    </nav>
  </div>
</div>


      <footer>
      <div class="copyright">
  <p>Developed by Johannes Ranke.</p>
</div>

<div class="pkgdown">
  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.6.1.</p>
</div>

      </footer>
   </div>

  


  </body>
</html>