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skbio.diversity.alpha.inv\_simpson
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==================================
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.. currentmodule:: skbio.diversity.alpha
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.. autofunction:: inv_simpson
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skbio.diversity.alpha.simpson\_d
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================================
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.. currentmodule:: skbio.diversity.alpha
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.. autofunction:: simpson_d

docs/dev/generated/skbio.diversity.alpha.ace.html

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<link rel="icon" href="../_static/favicon.ico"/>
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<link rel="index" title="Index" href="../genindex.html" />
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<div class="bd-toc-item navbar-nav"><ul class="current nav bd-sidenav">
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<li class="toctree-l1 current active has-children"><a class="reference internal" href="skbio.diversity.alpha.html">Alpha diversity measures (<code class="xref py py-mod docutils literal notranslate"><span class="pre">skbio.diversity.alpha</span></code>)</a><details open="open"><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul class="current">
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<li class="toctree-l2 current active"><a class="current reference internal" href="#">skbio.diversity.alpha.ace</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.brillouin_d.html">skbio.diversity.alpha.brillouin_d</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.chao1.html">skbio.diversity.alpha.chao1</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.dominance.html">skbio.diversity.alpha.dominance</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.faith_pd.html">skbio.diversity.alpha.faith_pd</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.fisher_alpha.html">skbio.diversity.alpha.fisher_alpha</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.lladser_ci.html">skbio.diversity.alpha.lladser_ci</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.mcintosh_e.html">skbio.diversity.alpha.mcintosh_e</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.observed_features.html">skbio.diversity.alpha.observed_features</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.osd.html">skbio.diversity.alpha.osd</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.singles.html">skbio.diversity.alpha.singles</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.brillouin_d.html">skbio.diversity.alpha.brillouin_d</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.enspie.html">skbio.diversity.alpha.enspie</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.fisher_alpha.html">skbio.diversity.alpha.fisher_alpha</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.inv_simpson.html">skbio.diversity.alpha.inv_simpson</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.kempton_taylor_q.html">skbio.diversity.alpha.kempton_taylor_q</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.phydiv.html">skbio.diversity.alpha.phydiv</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.pielou_e.html">skbio.diversity.alpha.pielou_e</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.robbins.html">skbio.diversity.alpha.robbins</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.shannon.html">skbio.diversity.alpha.shannon</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.simpson_d.html">skbio.diversity.alpha.simpson_d</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.strong.html">skbio.diversity.alpha.strong</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.esty_ci.html">skbio.diversity.alpha.esty_ci</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.goods_coverage.html">skbio.diversity.alpha.goods_coverage</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.lladser_ci.html">skbio.diversity.alpha.lladser_ci</a></li>
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<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.lladser_pe.html">skbio.diversity.alpha.lladser_pe</a></li>
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</ul>
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</details></li>
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<li class="toctree-l1"><a class="reference internal" href="skbio.diversity.get_alpha_diversity_metrics.html">skbio.diversity.get_alpha_diversity_metrics</a></li>
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\[S_{ace}=S_{abund}+\frac{S_{rare}}{C_{ace}}+
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\frac{F_1}{C_{ace}}\gamma^2_{ace}\]</div>
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<p>where <span class="math notranslate nohighlight">\(S_{abund}\)</span> is the number of abundant taxa (with more than
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<cite>rare_threshold</cite> individuals) when all samples are pooled,
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<code class="docutils literal notranslate"><span class="pre">rare_threshold</span></code> individuals) when all samples are pooled,
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<span class="math notranslate nohighlight">\(S_{rare}\)</span> is the number of rare taxa (with less than or equal to
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<cite>rare_threshold</cite> individuals) when all samples are pooled, <span class="math notranslate nohighlight">\(C_{ace}\)</span>
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is the sample abundance coverage estimator, <span class="math notranslate nohighlight">\(F_1\)</span> is the frequency of
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singletons, and <span class="math notranslate nohighlight">\(\gamma^2_{ace}\)</span> is the estimated coefficient of
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variation for rare taxa.</p>
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<code class="docutils literal notranslate"><span class="pre">rare_threshold</span></code> individuals) when all samples are pooled,
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<span class="math notranslate nohighlight">\(C_{ace}\)</span> is the sample abundance coverage estimator, <span class="math notranslate nohighlight">\(F_1\)</span> is
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the frequency of singletons, and <span class="math notranslate nohighlight">\(\gamma^2_{ace}\)</span> is the estimated
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coefficient of variation for rare taxa.</p>
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<p>The estimated coefficient of variation is defined as (assuming
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<cite>rare_threshold</cite> is 10, the default):</p>
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<code class="docutils literal notranslate"><span class="pre">rare_threshold</span></code> is 10, the default):</p>
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<div class="math notranslate nohighlight">
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\[\gamma^2_{ace}=max\left[\frac{S_{rare}}{C_{ace}}
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\frac{\sum^{10}_{i=1}{{i\left(i-1\right)}}F_i}
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on the description given in the EstimateS manual <a class="reference internal" href="#r34b5d5ddea45-3" id="id3">[3]</a>.</p>
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<p>If no rare taxa exist, returns the number of abundant taxa. The default
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value of 10 for <cite>rare_threshold</cite> is based on <a class="reference internal" href="#r34b5d5ddea45-4" id="id4">[4]</a>.</p>
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<p>If <cite>counts</cite> contains zeros, indicating taxa which are known to exist in the
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environment but did not appear in the sample, they will be ignored for the
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<p>If <code class="docutils literal notranslate"><span class="pre">counts</span></code> contains zeros, indicating taxa which are known to exist in
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the environment but did not appear in the sample, they will be ignored for
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the purpose of calculating the number of rare taxa.</p>
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<p class="rubric">References</p>
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<div role="list" class="citation-list">
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<div class="citation" id="r34b5d5ddea45-1" role="doc-biblioentry">
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</div>
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<a class="right-next"
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