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<title>Coord Projection</title>
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<body>
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<h1 class="title toc-ignore">Coord Projection</h1>
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<h4 class="author"><em>Bob Rudis</em></h4>
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<h4 class="date"><em>2019-02-22</em></h4>
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<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb1-1" data-line-number="1"><span class="kw">library</span>(ggalt)</a>
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<a class="sourceLine" id="cb1-2" data-line-number="2"><span class="kw">library</span>(proj4)</a></code></pre></div>
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<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb2-1" data-line-number="1"></a>
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<a class="sourceLine" id="cb2-2" data-line-number="2">world <-<span class="st"> </span>ggplot2<span class="op">::</span><span class="kw">map_data</span>(<span class="st">"world"</span>)</a>
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<a class="sourceLine" id="cb2-3" data-line-number="3"></a>
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<a class="sourceLine" id="cb2-4" data-line-number="4">world <-<span class="st"> </span>world[world<span class="op">$</span>region <span class="op">!=</span><span class="st"> "Antarctica"</span>,]</a>
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<a class="sourceLine" id="cb2-5" data-line-number="5"></a>
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<a class="sourceLine" id="cb2-6" data-line-number="6">gg <-<span class="st"> </span><span class="kw">ggplot</span>()</a>
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<a class="sourceLine" id="cb2-7" data-line-number="7"></a>
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<a class="sourceLine" id="cb2-8" data-line-number="8">gg <-<span class="st"> </span>gg <span class="op">+</span><span class="st"> </span><span class="kw">geom_cartogram</span>(<span class="dt">data=</span>world, <span class="dt">map=</span>world,</a>
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<a class="sourceLine" id="cb2-9" data-line-number="9"> <span class="kw">aes</span>(<span class="dt">x=</span>long, <span class="dt">y=</span>lat, <span class="dt">map_id=</span>region))</a>
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<a class="sourceLine" id="cb2-10" data-line-number="10"></a>
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<a class="sourceLine" id="cb2-11" data-line-number="11">gg <-<span class="st"> </span>gg <span class="op">+</span><span class="st"> </span><span class="kw">coord_proj</span>(<span class="st">"+proj=wintri"</span>)</a>
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<a class="sourceLine" id="cb2-12" data-line-number="12"></a>
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<a class="sourceLine" id="cb2-13" data-line-number="13">gg</a>
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<a class="sourceLine" id="cb2-14" data-line-number="14"><span class="co">#> Warning: range backtransformation not implemented in this coord; results</span></a>
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<a class="sourceLine" id="cb2-15" data-line-number="15"><span class="co">#> may be wrong.</span></a>
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<a class="sourceLine" id="cb2-16" data-line-number="16"><span class="co">#> Warning: range calculation not implemented in this coord; results may be</span></a>
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<a class="sourceLine" id="cb2-17" data-line-number="17"><span class="co">#> wrong.</span></a></code></pre></div>
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<p><img 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