{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Applying GNC, a non-stationary codon model\n",
    "\n",
    "See [Kaehler et al](https://academic.oup.com/gbe/article-lookup/doi/10.1093/gbe/evw308) for the formal description of this model. Note that we demonstrate hypothesis testing using this model elsewhere.\n",
    "\n",
    "We apply this to a sample alignment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from cogent3.app import io, evo\n",
    "\n",
    "loader = io.load_aligned(format=\"fasta\", moltype=\"dna\")\n",
    "aln = loader(\"../data/primate_brca1.fasta\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The model is specified using it's abbreviation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<style>\n",
       "tr:last-child {border-bottom: 1px solid #000;} tr > th {text-align: center !important;} tr > td {text-align: left !important;}\n",
       "</style>\n",
       "<caption style=\"color: rgb(250, 250, 250); background: rgba(30, 140, 200, 1); align=top;\"><span style=\"font-weight: bold;\">GNC</span><span></span></caption>\n",
       "<thead style=\"background: rgba(161, 195, 209, 0.75); font-weight: bold; text-align: center;\">\n",
       "<th>key</th>\n",
       "<th>lnL</th>\n",
       "<th>nfp</th>\n",
       "<th>DLC</th>\n",
       "<th>unique_Q</th>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr>\n",
       "<td></td>\n",
       "<td style=\"font-family: monospace !important;\">-6707.1856</td>\n",
       "<td style=\"font-family: monospace !important;\">83</td>\n",
       "<td>True</td>\n",
       "<td></td>\n",
       "</tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/plain": [
       "GNC\n",
       "============================================\n",
       "key           lnL    nfp     DLC    unique_Q\n",
       "--------------------------------------------\n",
       "       -6707.1856     83    True            \n",
       "--------------------------------------------\n",
       "\n",
       "1 rows x 5 columns"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = evo.model(\"GNC\", tree=\"../data/primate_brca1.tree\")\n",
    "result = model(aln)\n",
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h4>GNC</h4>\n",
       "<p>log-likelihood = -6707.1856</p>\n",
       "<p>number of free parameters = 83</p>\n",
       "<table>\n",
       "<style>\n",
       "tr:last-child {border-bottom: 1px solid #000;} tr > th {text-align: center !important;} tr > td {text-align: left !important;}\n",
       "</style>\n",
       "<caption style=\"color: rgb(250, 250, 250); background: rgba(30, 140, 200, 1); align=top;\"><span style=\"font-weight: bold;\">Global params</span><span></span></caption>\n",
       "<thead style=\"background: rgba(161, 195, 209, 0.75); font-weight: bold; text-align: center;\">\n",
       "<th>A&gt;C</th>\n",
       "<th>A&gt;G</th>\n",
       "<th>A&gt;T</th>\n",
       "<th>C&gt;A</th>\n",
       "<th>C&gt;G</th>\n",
       "<th>C&gt;T</th>\n",
       "<th>G&gt;A</th>\n",
       "<th>G&gt;C</th>\n",
       "<th>G&gt;T</th>\n",
       "<th>T&gt;A</th>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr>\n",
       "<td style=\"font-family: monospace !important;\">0.8617</td>\n",
       "<td style=\"font-family: monospace !important;\">3.5386</td>\n",
       "<td style=\"font-family: monospace !important;\">0.9783</td>\n",
       "<td style=\"font-family: monospace !important;\">1.6707</td>\n",
       "<td style=\"font-family: monospace !important;\">2.2019</td>\n",
       "<td style=\"font-family: monospace !important;\">6.2622</td>\n",
       "<td style=\"font-family: monospace !important;\">7.8941</td>\n",
       "<td style=\"font-family: monospace !important;\">1.2213</td>\n",
       "<td style=\"font-family: monospace !important;\">0.7981</td>\n",
       "<td style=\"font-family: monospace !important;\">1.2836</td>\n",
       "</tr>\n",
       "</tbody>\n",
       "</table>\n",
       "<table>\n",
       "<thead style=\"background: rgba(161, 195, 209, 0.75); font-weight: bold; text-align: center;\">\n",
       "<th>T&gt;C</th>\n",
       "<th>omega</th>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr>\n",
       "<td style=\"font-family: monospace !important;\">3.0613</td>\n",
       "<td style=\"font-family: monospace !important;\">0.8201</td>\n",
       "</tr>\n",
       "</tbody>\n",
       "</table>\n",
       "\n",
       "<table>\n",
       "<style>\n",
       "tr:last-child {border-bottom: 1px solid #000;} tr > th {text-align: center !important;} tr > td {text-align: left !important;}\n",
       "</style>\n",
       "<caption style=\"color: rgb(250, 250, 250); background: rgba(30, 140, 200, 1); align=top;\"><span style=\"font-weight: bold;\">Edge params</span><span></span></caption>\n",
       "<thead style=\"background: rgba(161, 195, 209, 0.75); font-weight: bold; text-align: center;\">\n",
       "<th>edge</th>\n",
       "<th>parent</th>\n",
       "<th>length</th>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr>\n",
       "<td style=\"background: rgba(161, 195, 209, 0.25); font-weight: 600;\">Galago</td>\n",
       "<td>root</td>\n",
       "<td style=\"font-family: monospace !important;\">0.5233</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td style=\"background: rgba(161, 195, 209, 0.25); font-weight: 600;\">HowlerMon</td>\n",
       "<td>root</td>\n",
       "<td style=\"font-family: monospace !important;\">0.1331</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td style=\"background: rgba(161, 195, 209, 0.25); font-weight: 600;\">Rhesus</td>\n",
       "<td>edge.3</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0639</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td style=\"background: rgba(161, 195, 209, 0.25); font-weight: 600;\">Orangutan</td>\n",
       "<td>edge.2</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0234</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td style=\"background: rgba(161, 195, 209, 0.25); font-weight: 600;\">Gorilla</td>\n",
       "<td>edge.1</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0075</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td style=\"background: rgba(161, 195, 209, 0.25); font-weight: 600;\">Human</td>\n",
       "<td>edge.0</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0182</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td style=\"background: rgba(161, 195, 209, 0.25); font-weight: 600;\">Chimpanzee</td>\n",
       "<td>edge.0</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0085</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td style=\"background: rgba(161, 195, 209, 0.25); font-weight: 600;\">edge.0</td>\n",
       "<td>edge.1</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0000</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td style=\"background: rgba(161, 195, 209, 0.25); font-weight: 600;\">edge.1</td>\n",
       "<td>edge.2</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0100</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td style=\"background: rgba(161, 195, 209, 0.25); font-weight: 600;\">edge.2</td>\n",
       "<td>edge.3</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0368</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td style=\"background: rgba(161, 195, 209, 0.25); font-weight: 600;\">edge.3</td>\n",
       "<td>root</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0246</td>\n",
       "</tr>\n",
       "</tbody>\n",
       "</table>\n",
       "\n",
       "<table>\n",
       "<style>\n",
       "tr:last-child {border-bottom: 1px solid #000;} tr > th {text-align: center !important;} tr > td {text-align: left !important;}\n",
       "</style>\n",
       "<caption style=\"color: rgb(250, 250, 250); background: rgba(30, 140, 200, 1); align=top;\"><span style=\"font-weight: bold;\">Motif params</span><span></span></caption>\n",
       "<thead style=\"background: rgba(161, 195, 209, 0.75); font-weight: bold; text-align: center;\">\n",
       "<th>AAA</th>\n",
       "<th>AAC</th>\n",
       "<th>AAG</th>\n",
       "<th>AAT</th>\n",
       "<th>ACA</th>\n",
       "<th>ACC</th>\n",
       "<th>ACG</th>\n",
       "<th>ACT</th>\n",
       "<th>AGA</th>\n",
       "<th>AGC</th>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr>\n",
       "<td style=\"font-family: monospace !important;\">0.0557</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0228</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0352</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0548</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0234</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0032</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0000</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0320</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0224</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0285</td>\n",
       "</tr>\n",
       "</tbody>\n",
       "</table>\n",
       "<table>\n",
       "<thead style=\"background: rgba(161, 195, 209, 0.75); font-weight: bold; text-align: center;\">\n",
       "<th>AGG</th>\n",
       "<th>AGT</th>\n",
       "<th>ATA</th>\n",
       "<th>ATC</th>\n",
       "<th>ATG</th>\n",
       "<th>ATT</th>\n",
       "<th>CAA</th>\n",
       "<th>CAC</th>\n",
       "<th>CAG</th>\n",
       "<th>CAT</th>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr>\n",
       "<td style=\"font-family: monospace !important;\">0.0146</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0379</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0184</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0074</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0120</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0181</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0194</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0053</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0254</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0236</td>\n",
       "</tr>\n",
       "</tbody>\n",
       "</table>\n",
       "<table>\n",
       "<thead style=\"background: rgba(161, 195, 209, 0.75); font-weight: bold; text-align: center;\">\n",
       "<th>CCA</th>\n",
       "<th>CCC</th>\n",
       "<th>CCG</th>\n",
       "<th>CCT</th>\n",
       "<th>CGA</th>\n",
       "<th>CGC</th>\n",
       "<th>CGG</th>\n",
       "<th>CGT</th>\n",
       "<th>CTA</th>\n",
       "<th>CTC</th>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr>\n",
       "<td style=\"font-family: monospace !important;\">0.0213</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0065</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0000</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0280</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0000</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0011</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0011</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0021</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0154</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0073</td>\n",
       "</tr>\n",
       "</tbody>\n",
       "</table>\n",
       "<table>\n",
       "<thead style=\"background: rgba(161, 195, 209, 0.75); font-weight: bold; text-align: center;\">\n",
       "<th>CTG</th>\n",
       "<th>CTT</th>\n",
       "<th>GAA</th>\n",
       "<th>GAC</th>\n",
       "<th>GAG</th>\n",
       "<th>GAT</th>\n",
       "<th>GCA</th>\n",
       "<th>GCC</th>\n",
       "<th>GCG</th>\n",
       "<th>GCT</th>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr>\n",
       "<td style=\"font-family: monospace !important;\">0.0135</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0107</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0772</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0088</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0298</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0318</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0169</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0107</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0010</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0130</td>\n",
       "</tr>\n",
       "</tbody>\n",
       "</table>\n",
       "<table>\n",
       "<thead style=\"background: rgba(161, 195, 209, 0.75); font-weight: bold; text-align: center;\">\n",
       "<th>GGA</th>\n",
       "<th>GGC</th>\n",
       "<th>GGG</th>\n",
       "<th>GGT</th>\n",
       "<th>GTA</th>\n",
       "<th>GTC</th>\n",
       "<th>GTG</th>\n",
       "<th>GTT</th>\n",
       "<th>TAC</th>\n",
       "<th>TAT</th>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr>\n",
       "<td style=\"font-family: monospace !important;\">0.0147</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0099</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0079</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0112</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0148</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0064</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0073</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0207</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0021</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0086</td>\n",
       "</tr>\n",
       "</tbody>\n",
       "</table>\n",
       "<table>\n",
       "<thead style=\"background: rgba(161, 195, 209, 0.75); font-weight: bold; text-align: center;\">\n",
       "<th>TCA</th>\n",
       "<th>TCC</th>\n",
       "<th>TCG</th>\n",
       "<th>TCT</th>\n",
       "<th>TGC</th>\n",
       "<th>TGG</th>\n",
       "<th>TGT</th>\n",
       "<th>TTA</th>\n",
       "<th>TTC</th>\n",
       "<th>TTG</th>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr>\n",
       "<td style=\"font-family: monospace !important;\">0.0224</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0074</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0000</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0275</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0011</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0043</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0212</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0198</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0085</td>\n",
       "<td style=\"font-family: monospace !important;\">0.0102</td>\n",
       "</tr>\n",
       "</tbody>\n",
       "</table>\n",
       "<table>\n",
       "<thead style=\"background: rgba(161, 195, 209, 0.75); font-weight: bold; text-align: center;\">\n",
       "<th>TTT</th>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr>\n",
       "<td style=\"font-family: monospace !important;\">0.0181</td>\n",
       "</tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/plain": [
       "<cogent3.evolve.parameter_controller.AlignmentLikelihoodFunction at 0x11c8c80b8>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
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    "result.lf"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## We can obtain the tree with branch lengths as ENS\n",
    "\n",
    "If this tree is written to newick (using the `write()` method), the lengths will now be ENS."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
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   "source": [
    "tree = result.tree\n",
    "fig = tree.get_figure()\n",
    "fig.scale_bar = \"top right\"\n",
    "fig.show(width=500, height=500)"
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