[GRASS-SVN] r66171 - grass-addons/grass7/raster/r.biodiversity
svn_grass at osgeo.org
svn_grass at osgeo.org
Fri Sep 11 10:24:14 PDT 2015
Author: pvanbosgeo
Date: 2015-09-11 10:24:14 -0700 (Fri, 11 Sep 2015)
New Revision: 66171
Modified:
grass-addons/grass7/raster/r.biodiversity/r.biodiversity.html
Log:
fixed some problematic characters in html file
Modified: grass-addons/grass7/raster/r.biodiversity/r.biodiversity.html
===================================================================
--- grass-addons/grass7/raster/r.biodiversity/r.biodiversity.html 2015-09-11 15:06:45 UTC (rev 66170)
+++ grass-addons/grass7/raster/r.biodiversity/r.biodiversity.html 2015-09-11 17:24:14 UTC (rev 66171)
@@ -25,50 +25,70 @@
<h4>Species richness</h4>
<p>The species richness is simply the count of the number of layers.
-It is a special case of the Reny enthropy: <pre>s = exp(R0)</pre>,
+It is a special case of the Reny enthropy:
+
+<div class="code"><pre>s = exp(R0)</pre></div>
+
whereby <i>s</i> is the species richness <i>R0</i> the renyi index
for <i>alpha=0</i>. The name of the output layer is composed of the basename +
richness.
<h4>Shannon index</h4>
-<p>The Shannon (also called the Shannon–Weaver or Shannon–Wiener)
-index is defined as <pre>H = -sum(p_i x log(p_i))</pre>, where <i>p_i
-</i> is the proportional abundance of species <i>i</i>. The
-r.biodiversity uses the natural logarithm (one can also use other
-bases for the log, but that is currently not implemented, and
+<p>The Shannon (also called the Shannon-Weaver or Shannon-Wiener)
+index is defined as
+
+<div class="code"><pre>H = -sum(p_i x log(p_i))</pre></div>
+
+where <i>p_i</i> is the proportional abundance of species <i>i</i>.
+The r.biodiversity uses the natural logarithm (one can also use
+other bases for the log, but that is currently not implemented, and
doesn't make a real difference). Note the Shannon index is a special
-case of the Renyi enthropy for <i>alpha = 2<i>. The name of the output
-layer is composed of the basename + shannon.
+case of the Renyi enthropy for <i>alpha = 2<i>. The name of the
+output layer is composed of the basename + shannon.
<h4>Simpson (concentration) index</h4>
-<p>The Simpson's index is defined as <pre>D = sum p_i^2</pre>. This
-is equivalent to <pre>-1 * 1 / exp(R2)</pre>, with <i>R2</i> the renyi
-index for <i>alpha=2</i>. With this index, 0 represents infinite
-diversity and 1, no diversity. The name of the output
-layer is composed of the basename + simpson.
+<p>The Simpson's index is defined as
+<div class="code"><pre>D = sum p_i^2</pre></div>.
+
+This is equivalent to
+
+<div class="code"><pre><pre>-1 * 1 / exp(R2)</pre></div>
+
+with <i>R2</i> the renyi index for <i>alpha=2</i>. With this index,
+0 represents infinite diversity and 1, no diversity. The name of the
+output layer is composed of the basename + simpson.
+
<h4>Inverse Simpson index (Simpson's Reciprocal Index)</h4>
<p>D obtains small values in datasets of high diversity and large
values in datasets of low diversity. This is counterintuitive
behavior for a diversity index. An alternative is the inverse
-Simpson index, which is <pre>ID = 1 / D)</pre>. The index represents
-the probability that two individuals randomly selected from a sample
-will belong to different species. The value ranges between 0 and 1,
-but now, the greater the value, the greater the sample diversity.
-The name of the output layer is composed of the basename + invsimpson.
+Simpson index, which is
-<h4>Gini–Simpson index</h4>
+<div class="code"><pre>ID = 1 / D)</pre></div>.
+The index represents the probability that two individuals randomly
+selected from a sample will belong to different species. The value
+ranges between 0 and 1, but now, the greater the value, the greater
+the sample diversity. The name of the output layer is composed of
+the basename + invsimpson.
+
+<h4>Gini-Simpson index</h4>
+
<p>An alternative way to overcome the problem of the
-counter-intuitive nature of Simpson's Index is to use <pre>1 - D)</pre>. The lowest value of
-this index is 1 and represent a community containing only one
-species. The higher the value, the greater the diversity. The
-maximum value is the number of species in the sample. The name of the output
-layer is composed of the basename + ginisimpson.
+counter-intuitive nature of Simpson's Index is to use
+<div class="code"><pre>1 - D)</pre></div>.
+
+The lowest value of this index is 1 and represent a community
+containing only one species. The higher the value, the greater the
+diversity. The maximum value is the number of species in the sample.
+The name of the output layer is composed of the basename +
+ginisimpson.
+
<h2>NOTES</h2>
<p>Note that if you are interested in the landscape diversity, you
@@ -113,23 +133,12 @@
2.3 and 0.57 respectively.
<h2>SEE ALSO</h2>
-1<em>
-<a href="r.li.html">r.li</a>,
-60 <a href="r.li.pielou.html">r.li.pielou</a>,
-61 <a href="r.li.renyi.html">r.li.renyi</a>,
-62 <a href="r.li.shannon.html">r.li.shannon</a>,
-63 <a href="r.li.simpson.html">r.li.simpson</a>
-</em>
-153
-<h2>CITATION</h2> <p>Suggested citation: <p>van Breugel P,
-r.biodiversity, a grass addon to compute biodiversity indici based
-on 2 or more input layers. Available from
-https://grass.osgeo.org/grass70/manuals/addons/r.biodiversity.html
+<a href="r.li.html">r.li</a>, <a href="r.li.pielou.html">r.li.pielou</a>, <a href="r.li.renyi.html">r.li.renyi</a>, <a href="r.li.shannon.html">r.li.shannon</a>, <a href="r.li.simpson.html">r.li.simpson</a> are all add-ons that compute landscape diversity indici.
<h2>REFERENCES</h2>
<ul>
-<li>Jost L. 2006. Entropy and diversity. Oikos 113:363–75</li>
+<li>Jost L. 2006. Entropy and diversity. Oikos 113:363-75</li>
<li>Legendre P, Legendre L. 1998. Numerical Ecology. Second English edition. Elsevier, Amsterdam</li>
</ul>
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