{
 "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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       "--------------------------------------------"
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     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
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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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