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625 | 625 | <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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626 | 626 | <li class="toctree-l2 current active"><a class="current reference internal" href="#">skbio.diversity.alpha.ace</a></li>
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627 |
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628 |
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629 | 627 | <li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.chao1.html">skbio.diversity.alpha.chao1</a></li>
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631 |
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633 |
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640 |
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645 |
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646 | 632 | <li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.menhinick.html">skbio.diversity.alpha.menhinick</a></li>
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647 | 633 | <li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.michaelis_menten_fit.html">skbio.diversity.alpha.michaelis_menten_fit</a></li>
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648 | 634 | <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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649 | 635 | <li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.observed_otus.html">skbio.diversity.alpha.observed_otus</a></li>
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| 637 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.singles.html">skbio.diversity.alpha.singles</a></li> |
| 638 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.sobs.html">skbio.diversity.alpha.sobs</a></li> |
| 639 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.brillouin_d.html">skbio.diversity.alpha.brillouin_d</a></li> |
| 640 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.enspie.html">skbio.diversity.alpha.enspie</a></li> |
| 641 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.fisher_alpha.html">skbio.diversity.alpha.fisher_alpha</a></li> |
| 642 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.inv_simpson.html">skbio.diversity.alpha.inv_simpson</a></li> |
| 643 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.kempton_taylor_q.html">skbio.diversity.alpha.kempton_taylor_q</a></li> |
651 | 644 | <li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.phydiv.html">skbio.diversity.alpha.phydiv</a></li>
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652 |
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653 |
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| 648 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.mcintosh_e.html">skbio.diversity.alpha.mcintosh_e</a></li> |
| 649 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.pielou_e.html">skbio.diversity.alpha.pielou_e</a></li> |
656 | 650 | <li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.simpson_e.html">skbio.diversity.alpha.simpson_e</a></li>
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657 |
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658 |
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| 651 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.berger_parker_d.html">skbio.diversity.alpha.berger_parker_d</a></li> |
| 652 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.dominance.html">skbio.diversity.alpha.dominance</a></li> |
| 653 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.gini_index.html">skbio.diversity.alpha.gini_index</a></li> |
| 654 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.mcintosh_d.html">skbio.diversity.alpha.mcintosh_d</a></li> |
| 655 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.simpson_d.html">skbio.diversity.alpha.simpson_d</a></li> |
659 | 656 | <li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.strong.html">skbio.diversity.alpha.strong</a></li>
|
| 657 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.esty_ci.html">skbio.diversity.alpha.esty_ci</a></li> |
| 658 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.goods_coverage.html">skbio.diversity.alpha.goods_coverage</a></li> |
| 659 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.lladser_ci.html">skbio.diversity.alpha.lladser_ci</a></li> |
| 660 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.lladser_pe.html">skbio.diversity.alpha.lladser_pe</a></li> |
| 661 | +<li class="toctree-l2"><a class="reference internal" href="skbio.diversity.alpha.robbins.html">skbio.diversity.alpha.robbins</a></li> |
660 | 662 | </ul>
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661 | 663 | </details></li>
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662 | 664 | <li class="toctree-l1"><a class="reference internal" href="skbio.diversity.get_alpha_diversity_metrics.html">skbio.diversity.get_alpha_diversity_metrics</a></li>
|
@@ -743,14 +745,14 @@ <h1>skbio.diversity.alpha.ace<a class="headerlink" href="#skbio-diversity-alpha-
|
743 | 745 | \[S_{ace}=S_{abund}+\frac{S_{rare}}{C_{ace}}+
|
744 | 746 | \frac{F_1}{C_{ace}}\gamma^2_{ace}\]</div>
|
745 | 747 | <p>where <span class="math notranslate nohighlight">\(S_{abund}\)</span> is the number of abundant taxa (with more than
|
746 |
| -<cite>rare_threshold</cite> individuals) when all samples are pooled, |
| 748 | +<code class="docutils literal notranslate"><span class="pre">rare_threshold</span></code> individuals) when all samples are pooled, |
747 | 749 | <span class="math notranslate nohighlight">\(S_{rare}\)</span> is the number of rare taxa (with less than or equal to
|
748 |
| -<cite>rare_threshold</cite> individuals) when all samples are pooled, <span class="math notranslate nohighlight">\(C_{ace}\)</span> |
749 |
| -is the sample abundance coverage estimator, <span class="math notranslate nohighlight">\(F_1\)</span> is the frequency of |
750 |
| -singletons, and <span class="math notranslate nohighlight">\(\gamma^2_{ace}\)</span> is the estimated coefficient of |
751 |
| -variation for rare taxa.</p> |
| 750 | +<code class="docutils literal notranslate"><span class="pre">rare_threshold</span></code> individuals) when all samples are pooled, |
| 751 | +<span class="math notranslate nohighlight">\(C_{ace}\)</span> is the sample abundance coverage estimator, <span class="math notranslate nohighlight">\(F_1\)</span> is |
| 752 | +the frequency of singletons, and <span class="math notranslate nohighlight">\(\gamma^2_{ace}\)</span> is the estimated |
| 753 | +coefficient of variation for rare taxa.</p> |
752 | 754 | <p>The estimated coefficient of variation is defined as (assuming
|
753 |
| -<cite>rare_threshold</cite> is 10, the default):</p> |
| 755 | +<code class="docutils literal notranslate"><span class="pre">rare_threshold</span></code> is 10, the default):</p> |
754 | 756 | <div class="math notranslate nohighlight">
|
755 | 757 | \[\gamma^2_{ace}=max\left[\frac{S_{rare}}{C_{ace}}
|
756 | 758 | \frac{\sum^{10}_{i=1}{{i\left(i-1\right)}}F_i}
|
@@ -783,9 +785,9 @@ <h1>skbio.diversity.alpha.ace<a class="headerlink" href="#skbio-diversity-alpha-
|
783 | 785 | on the description given in the EstimateS manual <a class="reference internal" href="#r34b5d5ddea45-3" id="id3">[3]</a>.</p>
|
784 | 786 | <p>If no rare taxa exist, returns the number of abundant taxa. The default
|
785 | 787 | value of 10 for <cite>rare_threshold</cite> is based on <a class="reference internal" href="#r34b5d5ddea45-4" id="id4">[4]</a>.</p>
|
786 |
| -<p>If <cite>counts</cite> contains zeros, indicating taxa which are known to exist in the |
787 |
| -environment but did not appear in the sample, they will be ignored for the |
788 |
| -purpose of calculating the number of rare taxa.</p> |
| 788 | +<p>If <code class="docutils literal notranslate"><span class="pre">counts</span></code> contains zeros, indicating taxa which are known to exist in |
| 789 | +the environment but did not appear in the sample, they will be ignored for |
| 790 | +the purpose of calculating the number of rare taxa.</p> |
789 | 791 | <p class="rubric">References</p>
|
790 | 792 | <div role="list" class="citation-list">
|
791 | 793 | <div class="citation" id="r34b5d5ddea45-1" role="doc-biblioentry">
|
@@ -835,11 +837,11 @@ <h1>skbio.diversity.alpha.ace<a class="headerlink" href="#skbio-diversity-alpha-
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835 | 837 | </div>
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836 | 838 | </a>
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838 |
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| 840 | + href="skbio.diversity.alpha.chao1.html" |
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842 |
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| 844 | + <p class="prev-next-title">skbio.diversity.alpha.chao1</p> |
843 | 845 | </div>
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