{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Reconstructing ancestral states\n",
    "\n",
    "This app takes a `model_result` and returns a `tabular_result` consisting of the posterior probabilities of ancestral states for each node of a tree. These probabilities are computed using the marginal reconstruction algorithm.\n",
    "\n",
    "We first fit a model to the sample data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from cogent3.app import io, evo\n",
    "\n",
    "reader = io.load_aligned(format=\"fasta\")\n",
    "aln = reader(\"../data/primate_brca1.fasta\")\n",
    "gn = evo.model(\"GN\", tree=\"../data/primate_brca1.tree\")\n",
    "result = gn(aln)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define the `ancestral_states` app"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5x tabular_result('edge.0': DictArray, 'edge.1': DictArray, 'edge.2': DictArray, 'edge.3': DictArray)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reconstuctor = evo.ancestral_states()\n",
    "states_result = reconstuctor(result)\n",
    "states_result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `tabular_result` is keyed by the node name. Each value is a `DictArray`, with header corresponding to the states and rows corresponding to alignment position."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<th></th>\n",
       "<th>T</th>\n",
       "<th>C</th>\n",
       "<th>A</th>\n",
       "<th>G</th>\n",
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       "<td style=\"background: rgba(161, 195, 209, 0.25); font-weight: 600;\">1</td>\n",
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       "<td style=\"font-family: monospace !important;\">0.000</td>\n",
       "<td style=\"font-family: monospace !important;\">0.000</td>\n",
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       "<td style=\"font-family: monospace !important;\">0.000</td>\n",
       "<td style=\"font-family: monospace !important;\">0.000</td>\n",
       "<td style=\"font-family: monospace !important;\">1.000</td>\n",
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       "<td style=\"background: rgba(161, 195, 209, 0.25); font-weight: 600;\">4</td>\n",
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       "<td style=\"font-family: monospace !important;\">0.000</td>\n",
       "<td style=\"font-family: monospace !important;\">0.000</td>\n",
       "<td style=\"font-family: monospace !important;\">1.000</td>\n",
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       "<td style=\"font-family: monospace !important;\">0.000</td>\n",
       "<td style=\"font-family: monospace !important;\">1.000</td>\n",
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       "<td style=\"background: rgba(161, 195, 209, 0.25); font-weight: 600;\">2812</td>\n",
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       "<td style=\"font-family: monospace !important;\">1.000</td>\n",
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       "============================================\n",
       "             T         C         A         G\n",
       "--------------------------------------------\n",
       "   0    1.0000    0.0000    0.0000    0.0000\n",
       "   1    0.0000    0.0000    0.0000    1.0000\n",
       "   2    1.0000    0.0000    0.0000    0.0000\n",
       "   3    0.0000    0.0000    0.0000    1.0000\n",
       "   4    0.0000    0.0000    0.0000    1.0000\n",
       "   5    0.0000    1.0000    0.0000    0.0000\n",
       "   6    0.0000    0.0000    1.0000    0.0000\n",
       "   7    0.0000    1.0000    0.0000    0.0000\n",
       "   8    0.0000    0.0000    1.0000    0.0000\n",
       "   9    0.0000    0.0000    1.0000    0.0000\n",
       "  10    0.0000    0.0000    1.0000    0.0000\n",
       "  11    1.0000    0.0000    0.0000    0.0000\n",
       "  12    0.0000    0.0000    1.0000    0.0000\n",
       "  13    0.0000    1.0000    0.0000    0.0000\n",
       "  14    1.0000    0.0000    0.0000    0.0000\n",
       "  15    0.0000    1.0000    0.0000    0.0000\n",
       "  16    0.0000    0.0000    1.0000    0.0000\n",
       "  17    1.0000    0.0000    0.0000    0.0000\n",
       "  18    0.0000    0.0000    0.0000    1.0000\n",
       "  19    0.0000    1.0000    0.0000    0.0000\n",
       "  20    0.0000    1.0000    0.0000    0.0000\n",
       "  21    0.0000    0.0000    1.0000    0.0000\n",
       "  22    0.0000    0.0000    0.0000    1.0000\n",
       "  23    0.0000    1.0000    0.0000    0.0000\n",
       "  24    1.0000    0.0000    0.0000    0.0000\n",
       "  25    0.0000    1.0000    0.0000    0.0000\n",
       "  26    0.0000    0.0000    1.0000    0.0000\n",
       "  27    1.0000    0.0000    0.0000    0.0000\n",
       "  28    1.0000    0.0000    0.0000    0.0000\n",
       "  29    0.0000    0.0000    1.0000    0.0000\n",
       "  30    0.0000    1.0000    0.0000    0.0000\n",
       "  31    0.0000    0.0000    1.0000    0.0000\n",
       "  32    0.0000    0.0000    0.0000    1.0000\n",
       "  33    0.0000    1.0000    0.0000    0.0000\n",
       "  34    0.0000    0.0000    1.0000    0.0000\n",
       "  35    1.0000    0.0000    0.0000    0.0000\n",
       "  36    0.0000    0.0000    0.0000    1.0000\n",
       "  37    0.0000    0.0000    1.0000    0.0000\n",
       "  38    0.0000    0.0000    0.0000    1.0000\n",
       "  39    0.0000    0.0000    1.0000    0.0000\n",
       "  40    0.0000    0.0000    1.0000    0.0000\n",
       "  41    0.0000    1.0000    0.0000    0.0000\n",
       "  42    0.0000    0.0000    1.0000    0.0000\n",
       "  43    0.0000    0.0000    0.0000    1.0000\n",
       "  44    1.0000    0.0000    0.0000    0.0000\n",
       "  45    1.0000    0.0000    0.0000    0.0000\n",
       "  46    1.0000    0.0000    0.0000    0.0000\n",
       "  47    0.0000    0.0000    1.0000    0.0000\n",
       "  48    1.0000    0.0000    0.0000    0.0000\n",
       "  49    1.0000    0.0000    0.0000    0.0000\n",
       "  50    0.0000    0.0000    1.0000    0.0000\n",
       "  51    0.0000    1.0000    0.0000    0.0000\n",
       "  52    1.0000    0.0000    0.0000    0.0000\n",
       "  53    0.0000    1.0000    0.0000    0.0000\n",
       "  54    0.0000    0.0000    1.0000    0.0000\n",
       "  55    0.0000    1.0000    0.0000    0.0000\n",
       "  56    1.0000    0.0000    0.0000    0.0000\n",
       "  57    0.0000    0.0000    1.0000    0.0000\n",
       "  58    0.0000    0.0000    1.0000    0.0000\n",
       "  59    0.0000    0.0000    1.0000    0.0000\n",
       "  60    0.0000    0.0000    0.0000    1.0000\n",
       "  61    0.0000    0.0000    1.0000    0.0000\n",
       "  62    0.0000    1.0000    0.0000    0.0000\n",
       "  63    0.0000    0.0000    1.0000    0.0000\n",
       "  64    0.0000    0.0000    0.0000    1.0000\n",
       "  65    0.0000    0.0000    1.0000    0.0000\n",
       "  66    0.0000    0.0000    1.0000    0.0000\n",
       "  67    1.0000    0.0000    0.0000    0.0000\n",
       "  68    0.0000    0.0000    0.0000    1.0000\n",
       "  69    0.0000    0.0000    1.0000    0.0000\n",
       "  70    0.0000    0.0000    1.0000    0.0000\n",
       "  71    1.0000    0.0000    0.0000    0.0000\n",
       "  72    0.0000    0.0000    0.0000    1.0000\n",
       "  73    1.0000    0.0000    0.0000    0.0000\n",
       "  74    0.0000    0.0000    1.0000    0.0000\n",
       "  75    0.0000    0.0000    0.0000    1.0000\n",
       "  76    0.0000    0.0000    1.0000    0.0000\n",
       "  77    0.0000    0.0000    1.0000    0.0000\n",
       "  78    0.0000    0.0000    1.0000    0.0000\n",
       "  79    0.0000    0.0000    1.0000    0.0000\n",
       "  80    0.0000    0.0000    0.0000    1.0000\n",
       "  81    0.0000    0.0000    0.0000    1.0000\n",
       "  82    0.0000    1.0000    0.0000    0.0000\n",
       "  83    1.0000    0.0000    0.0000    0.0000\n",
       "  84    0.0000    0.0000    0.0000    1.0000\n",
       "  85    0.0000    0.0000    1.0000    0.0000\n",
       "  86    0.0000    0.0000    1.0000    0.0000\n",
       "  87    1.0000    0.0000    0.0000    0.0000\n",
       "  88    1.0000    0.0000    0.0000    0.0000\n",
       "  89    0.0000    1.0000    0.0000    0.0000\n",
       "  90    1.0000    0.0000    0.0000    0.0000\n",
       "  91    0.0000    0.0000    0.0000    1.0000\n",
       "  92    1.0000    0.0000    0.0000    0.0000\n",
       "  93    0.0000    0.0000    1.0000    0.0000\n",
       "  94    0.0000    0.0000    1.0000    0.0000\n",
       "  95    1.0000    0.0000    0.0000    0.0000\n",
       "  96    0.0000    0.0000    1.0000    0.0000\n",
       "  97    0.0000    0.0000    1.0000    0.0000\n",
       "  98    0.0000    0.0000    1.0000    0.0000\n",
       "  99    0.0000    0.0000    1.0000    0.0000\n",
       " 100    0.0000    0.0000    0.0000    1.0000\n",
       " 101    0.0000    1.0000    0.0000    0.0000\n",
       " 102    0.0000    0.0000    1.0000    0.0000\n",
       " 103    0.0000    0.0000    1.0000    0.0000\n",
       " 104    0.0000    0.0000    1.0000    0.0000\n",
       " 105    0.0000    1.0000    0.0000    0.0000\n",
       " 106    0.0000    0.0000    1.0000    0.0000\n",
       " 107    0.0000    0.0000    0.0000    1.0000\n",
       " 108    0.0000    1.0000    0.0000    0.0000\n",
       " 109    0.0000    1.0000    0.0000    0.0000\n",
       " 110    1.0000    0.0000    0.0000    0.0000\n",
       " 111    0.0000    0.0000    0.0000    1.0000\n",
       " 112    0.0000    0.0000    0.0000    1.0000\n",
       " 113    0.0000    1.0000    0.0000    0.0000\n",
       " 114    1.0000    0.0000    0.0000    0.0000\n",
       " 115    1.0000    0.0000    0.0000    0.0000\n",
       " 116    0.0000    0.0000    1.0000    0.0000\n",
       " 117    0.0000    0.0000    0.0000    1.0000\n",
       " 118    0.0000    1.0000    0.0000    0.0000\n",
       " 119    0.0000    0.0000    1.0000    0.0000\n",
       " 120    0.0000    0.0000    1.0000    0.0000\n",
       " 121    0.0000    0.0000    0.0000    1.0000\n",
       " 122    0.0000    0.0000    0.0000    1.0000\n",
       " 123    0.0000    0.0000    1.0000    0.0000\n",
       " 124    0.0000    0.0000    0.0000    1.0000\n",
       " 125    0.0000    1.0000    0.0000    0.0000\n",
       " 126    0.0000    1.0000    0.0000    0.0000\n",
       " 127    0.0000    0.0000    1.0000    0.0000\n",
       " 128    0.0000    0.0000    1.0000    0.0000\n",
       " 129    0.0000    1.0000    0.0000    0.0000\n",
       " 130    0.0000    0.0000    1.0000    0.0000\n",
       " 131    1.0000    0.0000    0.0000    0.0000\n",
       " 132    0.0000    0.0000    1.0000    0.0000\n",
       " 133    0.0000    0.0000    1.0000    0.0000\n",
       " 134    0.0000    1.0000    0.0000    0.0000\n",
       " 135    0.0000    0.0000    1.0000    0.0000\n",
       " 136    0.0000    0.0000    0.0000    1.0000\n",
       " 137    0.0000    0.0000    1.0000    0.0000\n",
       " 138    1.0000    0.0000    0.0000    0.0000\n",
       " 139    0.0000    0.0000    0.0000    1.0000\n",
       " 140    0.0000    0.0000    0.0000    1.0000\n",
       " 141    0.0000    0.0000    0.0000    1.0000\n",
       " 142    0.0000    1.0000    0.0000    0.0000\n",
       " 143    1.0000    0.0000    0.0000    0.0000\n",
       " 144    0.0000    0.0000    0.0000    1.0000\n",
       " 145    0.0000    0.0000    0.0000    1.0000\n",
       " 146    0.0000    0.0000    1.0000    0.0000\n",
       " 147    0.0000    0.0000    1.0000    0.0000\n",
       " 148    0.0000    0.0000    0.0000    1.0000\n",
       " 149    1.0000    0.0000    0.0000    0.0000\n",
       " 150    0.0000    0.0000    1.0000    0.0000\n",
       " 151    0.0000    0.0000    1.0000    0.0000\n",
       " 152    0.0000    0.0000    0.0000    1.0000\n",
       " 153    0.0000    0.0000    0.0000    1.0000\n",
       " 154    0.0000    0.0000    1.0000    0.0000\n",
       " 155    0.0000    0.0000    1.0000    0.0000\n",
       " 156    0.0000    0.0000    1.0000    0.0000\n",
       " 157    0.0000    1.0000    0.0000    0.0000\n",
       " 158    0.0000    0.0000    1.0000    0.0000\n",
       " 159    1.0000    0.0000    0.0000    0.0000\n",
       " 160    0.0000    0.0000    0.0000    1.0000\n",
       " 161    1.0000    0.0000    0.0000    0.0000\n",
       " 162    0.0000    0.0000    1.0000    0.0000\n",
       " 163    0.0000    0.0000    1.0000    0.0000\n",
       " 164    1.0000    0.0000    0.0000    0.0000\n",
       " 165    0.0000    0.0000    0.0000    1.0000\n",
       " 166    0.0000    0.0000    1.0000    0.0000\n",
       " 167    1.0000    0.0000    0.0000    0.0000\n",
       " 168    0.0000    0.0000    1.0000    0.0000\n",
       " 169    0.0000    0.0000    0.0000    1.0000\n",
       " 170    0.0000    0.0000    0.0000    1.0000\n",
       " 171    0.0000    1.0000    0.0000    0.0000\n",
       " 172    0.0000    0.0000    0.0000    1.0000\n",
       " 173    0.0000    0.0000    0.0000    1.0000\n",
       " 174    0.0000    0.0000    1.0000    0.0000\n",
       " 175    0.0000    1.0000    0.0000    0.0000\n",
       " 176    1.0000    0.0000    0.0000    0.0000\n",
       " 177    0.0000    1.0000    0.0000    0.0000\n",
       " 178    0.0000    1.0000    0.0000    0.0000\n",
       " 179    0.0000    1.0000    0.0000    0.0000\n",
       " 180    0.0000    0.0000    1.0000    0.0000\n",
       " 181    0.0000    0.0000    0.0000    1.0000\n",
       " 182    0.0000    1.0000    0.0000    0.0000\n",
       " 183    0.0000    0.0000    1.0000    0.0000\n",
       " 184    0.0000    1.0000    0.0000    0.0000\n",
       " 185    0.0000    0.0000    1.0000    0.0000\n",
       " 186    0.0000    0.0000    0.0000    1.0000\n",
       " 187    0.0000    0.0000    1.0000    0.0000\n",
       " 188    0.0000    0.0000    1.0000    0.0000\n",
       " 189    0.0000    0.0000    1.0000    0.0000\n",
       " 190    0.0000    0.0000    1.0000    0.0000\n",
       " 191    0.0000    0.0000    1.0000    0.0000\n",
       " 192    0.0000    0.0000    1.0000    0.0000\n",
       " 193    0.0000    0.0000    1.0000    0.0000\n",
       " 194    0.0000    0.0000    0.0000    1.0000\n",
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       " 206    1.0000    0.0000    0.0000    0.0000\n",
       " 207    0.0000    0.0000    0.0000    1.0000\n",
       " 208    0.0000    1.0000    0.0000    0.0000\n",
       " 209    1.0000    0.0000    0.0000    0.0000\n",
       " 210    0.0000    0.0000    0.0000    1.0000\n",
       " 211    0.0000    0.0000    1.0000    0.0000\n",
       " 212    1.0000    0.0000    0.0000    0.0000\n",
       " 213    0.0000    1.0000    0.0000    0.0000\n",
       " 214    0.0000    1.0000    0.0000    0.0000\n",
       " 215    0.0000    1.0000    0.0000    0.0000\n",
       " 216    0.0000    1.0000    0.0000    0.0000\n",
       " 217    1.0000    0.0000    0.0000    0.0000\n",
       " 218    0.0000    0.0000    0.0000    1.0000\n",
       " 219    1.0000    0.0000    0.0000    0.0000\n",
       " 220    0.0000    0.0000    0.0000    1.0000\n",
       " 221    1.0000    0.0000    0.0000    0.0000\n",
       " 222    0.0000    0.0000    0.0000    1.0000\n",
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       "1868    0.0000    0.0000    1.0000    0.0000\n",
       "1869    1.0000    0.0000    0.0000    0.0000\n",
       "1870    0.0000    0.0000    0.0000    1.0000\n",
       "1871    1.0000    0.0000    0.0000    0.0000\n",
       "1872    0.0000    0.0000    0.0000    1.0000\n",
       "1873    0.0000    0.0000    1.0000    0.0000\n",
       "1874    0.0000    0.0000    1.0000    0.0000\n",
       "1875    0.0000    1.0000    0.0000    0.0000\n",
       "1876    0.0000    0.0000    1.0000    0.0000\n",
       "1877    0.0000    0.0000    1.0000    0.0000\n",
       "1878    0.0000    0.0000    1.0000    0.0000\n",
       "1879    0.0000    0.0000    1.0000    0.0000\n",
       "1880    0.0000    0.0000    0.0000    1.0000\n",
       "1881    0.0000    0.0000    0.0000    1.0000\n",
       "1882    0.0000    0.0000    1.0000    0.0000\n",
       "1883    0.0000    0.0000    1.0000    0.0000\n",
       "1884    0.0000    0.0000    0.0000    1.0000\n",
       "1885    0.0000    0.0000    1.0000    0.0000\n",
       "1886    0.0000    0.0000    1.0000    0.0000\n",
       "1887    0.0000    0.0000    1.0000    0.0000\n",
       "1888    0.0000    0.0000    1.0000    0.0000\n",
       "1889    1.0000    0.0000    0.0000    0.0000\n",
       "1890    0.0000    1.0000    0.0000    0.0000\n",
       "1891    0.0000    0.0000    1.0000    0.0000\n",
       "1892    0.0000    0.0000    1.0000    0.0000\n",
       "1893    0.0000    0.0000    0.0000    1.0000\n",
       "1894    0.0000    0.0000    0.0000    1.0000\n",
       "1895    0.0000    0.0000    1.0000    0.0000\n",
       "1896    0.0000    0.0000    1.0000    0.0000\n",
       "1897    0.0000    0.0000    1.0000    0.0000\n",
       "1898    0.0000    0.0000    0.0000    1.0000\n",
       "1899    0.0000    0.0000    1.0000    0.0000\n",
       "1900    0.0000    0.0000    1.0000    0.0000\n",
       "1901    1.0000    0.0000    0.0000    0.0000\n",
       "1902    0.0000    0.0000    0.0000    1.0000\n",
       "1903    0.0000    0.0000    1.0000    0.0000\n",
       "1904    0.0000    0.0000    0.0000    1.0000\n",
       "1905    1.0000    0.0000    0.0000    0.0000\n",
       "1906    0.0000    1.0000    0.0000    0.0000\n",
       "1907    1.0000    0.0000    0.0000    0.0000\n",
       "1908    0.0000    0.0000    1.0000    0.0000\n",
       "1909    0.0000    0.0000    1.0000    0.0000\n",
       "1910    1.0000    0.0000    0.0000    0.0000\n",
       "1911    0.0000    0.0000    1.0000    0.0000\n",
       "1912    1.0000    0.0000    0.0000    0.0000\n",
       "1913    0.0000    1.0000    0.0000    0.0000\n",
       "1914    0.0000    0.0000    1.0000    0.0000\n",
       "1915    0.0000    0.0000    1.0000    0.0000\n",
       "1916    0.0000    0.0000    0.0000    1.0000\n",
       "1917    0.0000    1.0000    0.0000    0.0000\n",
       "1918    0.0000    1.0000    0.0000    0.0000\n",
       "1919    1.0000    0.0000    0.0000    0.0000\n",
       "1920    0.0000    0.0000    0.0000    1.0000\n",
       "1921    1.0000    0.0000    0.0000    0.0000\n",
       "1922    0.0000    0.0000    1.0000    0.0000\n",
       "1923    0.0000    1.0000    0.0000    0.0000\n",
       "1924    0.0000    0.0000    1.0000    0.0000\n",
       "1925    0.0000    0.0000    0.0000    1.0000\n",
       "1926    0.0000    0.0000    1.0000    0.0000\n",
       "1927    0.0000    1.0000    0.0000    0.0000\n",
       "1928    0.0000    0.0000    1.0000    0.0000\n",
       "1929    0.0000    0.0000    0.0000    1.0000\n",
       "1930    1.0000    0.0000    0.0000    0.0000\n",
       "1931    1.0000    0.0000    0.0000    0.0000\n",
       "1932    0.0000    0.0000    1.0000    0.0000\n",
       "1933    0.0000    0.0000    1.0000    0.0000\n",
       "1934    1.0000    0.0000    0.0000    0.0000\n",
       "1935    0.0000    0.0000    1.0000    0.0000\n",
       "1936    1.0000    0.0000    0.0000    0.0000\n",
       "1937    0.0000    1.0000    0.0000    0.0000\n",
       "1938    0.0000    0.0000    1.0000    0.0000\n",
       "1939    0.0000    1.0000    0.0000    0.0000\n",
       "1940    1.0000    0.0000    0.0000    0.0000\n",
       "1941    0.0000    0.0000    0.0000    1.0000\n",
       "1942    0.0000    1.0000    0.0000    0.0000\n",
       "1943    0.0000    0.0000    1.0000    0.0000\n",
       "1944    0.0000    0.0000    0.0000    1.0000\n",
       "1945    0.0000    0.0000    0.0000    1.0000\n",
       "1946    0.0000    1.0000    0.0000    0.0000\n",
       "1947    1.0000    0.0000    0.0000    0.0000\n",
       "1948    1.0000    0.0000    0.0000    0.0000\n",
       "1949    1.0000    0.0000    0.0000    0.0000\n",
       "1950    0.0000    1.0000    0.0000    0.0000\n",
       "1951    0.0000    1.0000    0.0000    0.0000\n",
       "1952    1.0000    0.0000    0.0000    0.0000\n",
       "1953    0.0000    0.0000    0.0000    1.0000\n",
       "1954    1.0000    0.0000    0.0000    0.0000\n",
       "1955    0.0000    0.0000    0.0000    1.0000\n",
       "1956    0.0000    0.0000    0.0000    1.0000\n",
       "1957    1.0000    0.0000    0.0000    0.0000\n",
       "1958    1.0000    0.0000    0.0000    0.0000\n",
       "1959    1.0000    0.0000    0.0000    0.0000\n",
       "1960    0.0000    0.0000    0.0000    1.0000\n",
       "1961    1.0000    0.0000    0.0000    0.0000\n",
       "1962    0.0000    1.0000    0.0000    0.0000\n",
       "1963    0.0000    0.0000    1.0000    0.0000\n",
       "1964    0.0000    0.0000    0.0000    1.0000\n",
       "1965    0.0000    0.0000    1.0000    0.0000\n",
       "1966    0.0000    0.0000    1.0000    0.0000\n",
       "1967    0.0000    0.0000    1.0000    0.0000\n",
       "1968    0.0000    0.0000    0.0000    1.0000\n",
       "1969    0.0000    0.0000    1.0000    0.0000\n",
       "1970    1.0000    0.0000    0.0000    0.0000\n",
       "1971    0.0000    0.0000    1.0000    0.0000\n",
       "1972    0.0000    0.0000    1.0000    0.0000\n",
       "1973    0.0000    0.0000    0.0000    1.0000\n",
       "1974    0.0000    1.0000    0.0000    0.0000\n",
       "1975    0.0000    1.0000    0.0000    0.0000\n",
       "1976    0.0000    0.0000    1.0000    0.0000\n",
       "1977    0.0000    0.0000    0.0000    1.0000\n",
       "1978    1.0000    0.0000    0.0000    0.0000\n",
       "1979    1.0000    0.0000    0.0000    0.0000\n",
       "1980    0.0000    0.0000    0.0000    1.0000\n",
       "1981    0.0000    0.0000    1.0000    0.0000\n",
       "1982    1.0000    0.0000    0.0000    0.0000\n",
       "1983    1.0000    0.0000    0.0000    0.0000\n",
       "1984    0.0000    0.0000    1.0000    0.0000\n",
       "1985    1.0000    0.0000    0.0000    0.0000\n",
       "1986    0.0000    0.0000    0.0000    1.0000\n",
       "1987    0.0000    1.0000    0.0000    0.0000\n",
       "1988    0.0000    1.0000    0.0000    0.0000\n",
       "1989    0.0000    0.0000    1.0000    0.0000\n",
       "1990    0.0000    0.0000    1.0000    0.0000\n",
       "1991    0.0000    0.0000    1.0000    0.0000\n",
       "1992    1.0000    0.0000    0.0000    0.0000\n",
       "1993    0.0000    0.0000    0.0000    1.0000\n",
       "1994    1.0000    0.0000    0.0000    0.0000\n",
       "1995    0.0000    0.0000    1.0000    0.0000\n",
       "1996    1.0000    0.0000    0.0000    0.0000\n",
       "1997    0.0000    1.0000    0.0000    0.0000\n",
       "1998    0.0000    0.0000    1.0000    0.0000\n",
       "1999    0.0000    0.0000    1.0000    0.0000\n",
       "2000    0.0000    0.0000    1.0000    0.0000\n",
       "2001    0.0000    0.0000    0.0000    1.0000\n",
       "2002    0.0000    0.0000    0.0000    1.0000\n",
       "2003    0.0000    0.0000    1.0000    0.0000\n",
       "2004    0.0000    0.0000    0.0000    1.0000\n",
       "2005    0.0000    0.0000    0.0000    1.0000\n",
       "2006    0.0000    1.0000    0.0000    0.0000\n",
       "2007    1.0000    0.0000    0.0000    0.0000\n",
       "2008    0.0000    1.0000    0.0000    0.0000\n",
       "2009    1.0000    0.0000    0.0000    0.0000\n",
       "2010    0.0000    0.0000    1.0000    0.0000\n",
       "2011    0.0000    0.0000    0.0000    1.0000\n",
       "2012    0.0000    0.0000    0.0000    1.0000\n",
       "2013    1.0000    0.0000    0.0000    0.0000\n",
       "2014    1.0000    0.0000    0.0000    0.0000\n",
       "2015    1.0000    0.0000    0.0000    0.0000\n",
       "2016    1.0000    0.0000    0.0000    0.0000\n",
       "2017    0.0000    0.0000    0.0000    1.0000\n",
       "2018    1.0000    0.0000    0.0000    0.0000\n",
       "2019    0.0000    1.0000    0.0000    0.0000\n",
       "2020    1.0000    0.0000    0.0000    0.0000\n",
       "2021    0.0000    0.0000    1.0000    0.0000\n",
       "2022    1.0000    0.0000    0.0000    0.0000\n",
       "2023    0.0000    1.0000    0.0000    0.0000\n",
       "2024    0.0000    0.0000    1.0000    0.0000\n",
       "2025    1.0000    0.0000    0.0000    0.0000\n",
       "2026    0.0000    1.0000    0.0000    0.0000\n",
       "2027    1.0000    0.0000    0.0000    0.0000\n",
       "2028    0.0000    1.0000    0.0000    0.0000\n",
       "2029    0.0000    0.0000    1.0000    0.0000\n",
       "2030    0.0000    0.0000    0.0000    1.0000\n",
       "2031    1.0000    0.0000    0.0000    0.0000\n",
       "2032    1.0000    0.0000    0.0000    0.0000\n",
       "2033    0.0000    1.0000    0.0000    0.0000\n",
       "2034    0.0000    0.0000    1.0000    0.0000\n",
       "2035    0.0000    0.0000    0.0000    1.0000\n",
       "2036    0.0000    0.0000    1.0000    0.0000\n",
       "2037    0.0000    0.0000    0.0000    1.0000\n",
       "2038    0.0000    0.0000    0.0000    1.0000\n",
       "2039    0.0000    1.0000    0.0000    0.0000\n",
       "2040    0.0000    0.0000    1.0000    0.0000\n",
       "2041    0.0000    0.0000    1.0000    0.0000\n",
       "2042    0.0000    1.0000    0.0000    0.0000\n",
       "2043    0.0000    0.0000    0.0000    1.0000\n",
       "2044    0.0000    0.0000    1.0000    0.0000\n",
       "2045    0.0000    0.0000    1.0000    0.0000\n",
       "2046    0.0000    0.0000    1.0000    0.0000\n",
       "2047    0.0000    1.0000    0.0000    0.0000\n",
       "2048    1.0000    0.0000    0.0000    0.0000\n",
       "2049    0.0000    0.0000    0.0000    1.0000\n",
       "2050    0.0000    0.0000    0.0000    1.0000\n",
       "2051    0.0000    0.0000    1.0000    0.0000\n",
       "2052    0.0000    1.0000    0.0000    0.0000\n",
       "2053    1.0000    0.0000    0.0000    0.0000\n",
       "2054    0.0000    1.0000    0.0000    0.0000\n",
       "2055    0.0000    0.0000    1.0000    0.0000\n",
       "2056    1.0000    0.0000    0.0000    0.0000\n",
       "2057    1.0000    0.0000    0.0000    0.0000\n",
       "2058    0.0000    0.0000    1.0000    0.0000\n",
       "2059    0.0000    1.0000    0.0000    0.0000\n",
       "2060    1.0000    0.0000    0.0000    0.0000\n",
       "2061    0.0000    1.0000    0.0000    0.0000\n",
       "2062    0.0000    1.0000    0.0000    0.0000\n",
       "2063    0.0000    0.0000    1.0000    0.0000\n",
       "2064    0.0000    0.0000    1.0000    0.0000\n",
       "2065    0.0000    0.0000    1.0000    0.0000\n",
       "2066    1.0000    0.0000    0.0000    0.0000\n",
       "2067    0.0000    0.0000    1.0000    0.0000\n",
       "2068    0.0000    0.0000    1.0000    0.0000\n",
       "2069    0.0000    0.0000    1.0000    0.0000\n",
       "2070    0.0000    1.0000    0.0000    0.0000\n",
       "2071    0.0000    0.0000    1.0000    0.0000\n",
       "2072    1.0000    0.0000    0.0000    0.0000\n",
       "2073    0.0000    0.0000    0.0000    1.0000\n",
       "2074    0.0000    0.0000    0.0000    1.0000\n",
       "2075    0.0000    0.0000    1.0000    0.0000\n",
       "2076    0.0000    1.0000    0.0000    0.0000\n",
       "2077    1.0000    0.0000    0.0000    0.0000\n",
       "2078    1.0000    0.0000    0.0000    0.0000\n",
       "2079    1.0000    0.0000    0.0000    0.0000\n",
       "2080    1.0000    0.0000    0.0000    0.0000\n",
       "2081    0.0000    0.0000    1.0000    0.0000\n",
       "2082    0.0000    1.0000    0.0000    0.0000\n",
       "2083    0.0000    0.0000    1.0000    0.0000\n",
       "2084    0.0000    0.0000    1.0000    0.0000\n",
       "2085    0.0000    0.0000    1.0000    0.0000\n",
       "2086    0.0000    0.0000    1.0000    0.0000\n",
       "2087    0.0000    1.0000    0.0000    0.0000\n",
       "2088    0.0000    1.0000    0.0000    0.0000\n",
       "2089    0.0000    1.0000    0.0000    0.0000\n",
       "2090    0.0000    0.0000    1.0000    0.0000\n",
       "2091    1.0000    0.0000    0.0000    0.0000\n",
       "2092    0.0000    0.0000    1.0000    0.0000\n",
       "2093    1.0000    0.0000    0.0000    0.0000\n",
       "2094    0.0000    1.0000    0.0000    0.0000\n",
       "2095    0.0000    0.0000    1.0000    0.0000\n",
       "2096    1.0000    0.0000    0.0000    0.0000\n",
       "2097    0.0000    0.0000    1.0000    0.0000\n",
       "2098    1.0000    0.0000    0.0000    0.0000\n",
       "2099    0.0000    0.0000    1.0000    0.0000\n",
       "2100    0.0000    1.0000    0.0000    0.0000\n",
       "2101    0.0000    1.0000    0.0000    0.0000\n",
       "2102    0.0000    0.0000    1.0000    0.0000\n",
       "2103    0.0000    1.0000    0.0000    0.0000\n",
       "2104    0.0000    1.0000    0.0000    0.0000\n",
       "2105    0.0000    0.0000    1.0000    0.0000\n",
       "2106    0.0000    1.0000    0.0000    0.0000\n",
       "2107    1.0000    0.0000    0.0000    0.0000\n",
       "2108    1.0000    0.0000    0.0000    0.0000\n",
       "2109    1.0000    0.0000    0.0000    0.0000\n",
       "2110    1.0000    0.0000    0.0000    0.0000\n",
       "2111    1.0000    0.0000    0.0000    0.0000\n",
       "2112    0.0000    1.0000    0.0000    0.0000\n",
       "2113    0.0000    1.0000    0.0000    0.0000\n",
       "2114    0.0000    1.0000    0.0000    0.0000\n",
       "2115    0.0000    0.0000    1.0000    0.0000\n",
       "2116    1.0000    0.0000    0.0000    0.0000\n",
       "2117    0.0000    1.0000    0.0000    0.0000\n",
       "2118    0.0000    0.0000    1.0000    0.0000\n",
       "2119    0.0000    0.0000    1.0000    0.0000\n",
       "2120    0.0000    0.0000    0.0000    1.0000\n",
       "2121    1.0000    0.0000    0.0000    0.0000\n",
       "2122    0.0000    1.0000    0.0000    0.0000\n",
       "2123    0.0000    0.0000    1.0000    0.0000\n",
       "2124    1.0000    0.0000    0.0000    0.0000\n",
       "2125    1.0000    0.0000    0.0000    0.0000\n",
       "2126    1.0000    0.0000    0.0000    0.0000\n",
       "2127    0.0000    0.0000    0.0000    1.0000\n",
       "2128    1.0000    0.0000    0.0000    0.0000\n",
       "2129    1.0000    0.0000    0.0000    0.0000\n",
       "2130    0.0000    0.0000    1.0000    0.0000\n",
       "2131    0.0000    0.0000    1.0000    0.0000\n",
       "2132    0.0000    0.0000    1.0000    0.0000\n",
       "2133    0.0000    0.0000    1.0000    0.0000\n",
       "2134    0.0000    1.0000    0.0000    0.0000\n",
       "2135    1.0000    0.0000    0.0000    0.0000\n",
       "2136    0.0000    0.0000    1.0000    0.0000\n",
       "2137    0.0000    0.0000    1.0000    0.0000\n",
       "2138    0.0000    0.0000    1.0000    0.0000\n",
       "2139    1.0000    0.0000    0.0000    0.0000\n",
       "2140    0.0000    0.0000    0.0000    1.0000\n",
       "2141    1.0000    0.0000    0.0000    0.0000\n",
       "2142    0.0000    0.0000    1.0000    0.0000\n",
       "2143    0.0000    0.0000    1.0000    0.0000\n",
       "2144    0.0000    0.0000    0.0000    1.0000\n",
       "2145    0.0000    0.0000    1.0000    0.0000\n",
       "2146    0.0000    0.0000    1.0000    0.0000\n",
       "2147    0.0000    0.0000    1.0000    0.0000\n",
       "2148    0.0000    0.0000    1.0000    0.0000\n",
       "2149    0.0000    0.0000    1.0000    0.0000\n",
       "2150    0.0000    1.0000    0.0000    0.0000\n",
       "2151    0.0000    1.0000    0.0000    0.0000\n",
       "2152    1.0000    0.0000    0.0000    0.0000\n",
       "2153    0.0000    0.0000    0.0000    1.0000\n",
       "2154    0.0000    1.0000    0.0000    0.0000\n",
       "2155    1.0000    0.0000    0.0000    0.0000\n",
       "2156    0.0000    0.0000    1.0000    0.0000\n",
       "2157    0.0000    0.0000    0.0000    1.0000\n",
       "2158    0.0000    0.0000    1.0000    0.0000\n",
       "2159    0.0000    0.0000    0.0000    1.0000\n",
       "2160    0.0000    0.0000    0.0000    1.0000\n",
       "2161    0.0000    0.0000    1.0000    0.0000\n",
       "2162    0.0000    0.0000    1.0000    0.0000\n",
       "2163    0.0000    0.0000    1.0000    0.0000\n",
       "2164    0.0000    0.0000    1.0000    0.0000\n",
       "2165    0.0000    1.0000    0.0000    0.0000\n",
       "2166    1.0000    0.0000    0.0000    0.0000\n",
       "2167    1.0000    0.0000    0.0000    0.0000\n",
       "2168    1.0000    0.0000    0.0000    0.0000\n",
       "2169    0.0000    0.0000    0.0000    1.0000\n",
       "2170    0.0000    0.0000    1.0000    0.0000\n",
       "2171    0.0000    0.0000    0.0000    1.0000\n",
       "2172    0.0000    0.0000    0.0000    1.0000\n",
       "2173    0.0000    0.0000    1.0000    0.0000\n",
       "2174    0.0000    0.0000    1.0000    0.0000\n",
       "2175    0.0000    1.0000    0.0000    0.0000\n",
       "2176    0.0000    0.0000    1.0000    0.0000\n",
       "2177    1.0000    0.0000    0.0000    0.0000\n",
       "2178    1.0000    0.0000    0.0000    0.0000\n",
       "2179    0.0000    1.0000    0.0000    0.0000\n",
       "2180    0.0000    0.0000    1.0000    0.0000\n",
       "2181    0.0000    0.0000    1.0000    0.0000\n",
       "2182    1.0000    0.0000    0.0000    0.0000\n",
       "2183    0.0000    0.0000    0.0000    1.0000\n",
       "2184    1.0000    0.0000    0.0000    0.0000\n",
       "2185    0.0000    1.0000    0.0000    0.0000\n",
       "2186    0.0000    0.0000    1.0000    0.0000\n",
       "2187    0.0000    1.0000    0.0000    0.0000\n",
       "2188    0.0000    1.0000    0.0000    0.0000\n",
       "2189    1.0000    0.0000    0.0000    0.0000\n",
       "2190    0.0000    0.0000    0.0000    1.0000\n",
       "2191    0.0000    0.0000    1.0000    0.0000\n",
       "2192    0.0000    0.0000    1.0000    0.0000\n",
       "2193    0.0000    0.0000    1.0000    0.0000\n",
       "2194    0.0000    0.0000    0.0000    1.0000\n",
       "2195    0.0000    0.0000    1.0000    0.0000\n",
       "2196    0.0000    0.0000    0.0000    1.0000\n",
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       "--------------------------------------------"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
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   "source": [
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   "metadata": {},
   "source": [
    "If not included in the newick tree file, the internal node names are automatically generated open loading. You can establish what those are by interrogating the tree bound to the likelihood function object. (If you move your mouse cursor over the nodes, their names will appear as hover text.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
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