{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Test saturation of amino acid substitution"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Background"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Saturation** of amino acid substitution potentially leads to the under-estimation of phylogenetic distance. To test how this impacts our phylogenetic trees, especially the relative distance between the Archaea and Bacteria domains, we calculated and analyzed the the ratio of Hamming distance between sequences vs. phylogenetic distance between taxa (sum of branch lengths).\n",
    "\n",
    "The principles of saturation test were detailed in [Jeffroy et al. (2006)](https://www.sciencedirect.com/science/article/pii/S0168952506000515)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Preliminary analyses"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- `phylo_distmat.py` computes the sum of branch lengths between each pair of taxa in the phylogenetic tree.\n",
    "- `align_distmat.py` computes the Hamming distance between each pair of sequences in the concatenated alignment.\n",
    "- `sample_ab_dists.py` randomly samples *k* taxa from each of the Archaea and Bacteria domains. It extracts the pairwise phylogenetic and sequential distances among the 2*k* taxa, and categorizes taxon pairs into \"AA\", \"BB\" and \"AB\".\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Preparation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy as sp\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.preprocessing import scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "table_fp = 'astral.cons.hamming/result.100.tsv.bz2'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>phy</th>\n",
       "      <th>seq</th>\n",
       "      <th>group</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.86670</td>\n",
       "      <td>0.56058</td>\n",
       "      <td>AB</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.48027</td>\n",
       "      <td>0.44219</td>\n",
       "      <td>BB</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.40161</td>\n",
       "      <td>0.41009</td>\n",
       "      <td>BB</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.33363</td>\n",
       "      <td>0.40544</td>\n",
       "      <td>BB</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.93589</td>\n",
       "      <td>0.57145</td>\n",
       "      <td>AB</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       phy      seq group\n",
       "0  1.86670  0.56058    AB\n",
       "1  1.48027  0.44219    BB\n",
       "2  1.40161  0.41009    BB\n",
       "3  1.33363  0.40544    BB\n",
       "4  1.93589  0.57145    AB"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_table(table_fp, index_col=0)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Linear regression of all pairwise distances"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11115e208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "reg = sp.stats.linregress(df[['phy', 'seq']].values)\n",
    "g = sns.lmplot(x='phy', y='seq', scatter_kws={'alpha': 0.25, 's': 5, 'lw': 0}, data=df)\n",
    "ax = plt.gca()\n",
    "ax.text(0.1, 0.8, '$\\it{r}$ = %.3f\\n$\\it{p}$ = %.3f\\nslope = %.3f'\n",
    "        % (reg.rvalue, reg.pvalue, reg.slope), transform=ax.transAxes)\n",
    "ax.set_xlabel('Phylogenetic distance')\n",
    "ax.set_ylabel('Hamming distance');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig = g.fig\n",
    "fig.tight_layout()\n",
    "fig.savefig('scatter.all.pdf', bbox_to_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a21590470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = sns.jointplot(x='phy', y='seq', kind='hex', data=df)\n",
    "g.set_axis_labels('Phylogenetic distance', 'Hamming distance')\n",
    "fig = g.fig\n",
    "fig.tight_layout()\n",
    "fig.savefig('hex.all.pdf', bbox_to_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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JrzrMOSgREcksHakFJSIiGUQBJSIigaSAEhGRQFJAiYhIICmgREQkkBRQIiISSAooEREJJAWUiIgEkgJKREQCSQElIiKBpIASEZFAUkCJiEgg5aa7gESdeMqn3CNPPJXuMkREktKrODclS74XHTLVla+cT24oI9sZnv4MMu7Idu3MthWmRUQSF963N90l+C7jAkpERCLCWb5akgJKRCRDNWR5QimgREQyVF04nO4SfJVxgyRE/NBQX8eebVuoq60BrTItbWVGXn4BJX36E8rN8+1jGhqy+++qAkoE2LNtCyVdu9K9Rw/MUjLISjow5xy7d+1kz7Yt9BwwxLfPyfYWlLr4RIC62hqFk6SMmdG9R89Ii9xHOgcl0hE4p3CSlDIz37uL67O8i08BJSLt7tlnnmHc2MMYM3oUv7j153G32bBhA6ecdCLTp01hyuSJPD137kGvd+/Whd/8+lftUfJB1q5dy8yjjmTsYYdywfnnUVtb2+411NQ3tPtnticFlEgWq6+v92W/DQ3JfzE2NDRw7TVX868n5/LhoiU8/PBDLF269KDtfvbTn3D2Oecwf8F7/P3+B7nmP6464PVvffN6PjX7tKTraKvv3XgD11x3HUs/XkH37iX8+d572r2G3VV17f6Z7UkBJRIA69atY/y4MXz5skuZMnki537xHKqqqgB4b+FCTjrheI6YMY1PnzabLVu2AHDP3X/iqCNnMHXKJL54ztn7t7/8y5fx7W9ezyknncj3bvgur736KtOmTmba1MlMnzaF8vJynHPc8J1vM2niBCZPOpxHHnkYgFdfeYWTTzyBc794DuPHjeHiL12Ei3ZTjRoxnJ/8+BaOn3Us//jHo0kf6/x58xgxYiSHHHII+fn5fPGL5/KvOU8ctJ2ZsXdvZLaEvWVl9O8/YP9rTzzxfxwyfDhjx4494D1nfObTbN68+aB9nXziCXzz+uuYdcxMJk2cwPx585KuHyKDIF55+SW+8IWzAfjSly5hzhMHH4Pfdle2f6utPWkUn0hArFi+nLvuupujZ87kiq98mTvv+AP/cc21XHftNfzz8f+jd+/ePPLIw9z0g//iT3ffy1mf+zyXf+UKAG76wff58733cNXV/wHAypUreea55wmFQpx15hn87ne/5+iZM6moqKCwsJDHH3+MDz/8kIXvfcCOHTs4+sgZHHvsLAA++OB9PvhoMQMGDOC4Y4/hrTffZOYxxwBQWFjIK6+9flDtDzxwf9yuthEjRvLwIweG2abNmxg0eND+xwMHDWL+vHcPeu8PbrqZ00/7FH+4/fdUVlbyzLPPA1BZWcmvfvELnn72uYM+c86Tzc/TWVlZyWtvvMnrr73GFVdczgcfLjrg9eXLl3PhBefFfe8LL75MSUnJ/sc7d+6kpKSE3Nzc/cewafOmZj/bL3uyvAWlgBIJiMGDB3P0zJkAXHDBRfz+97dx6qdms2TJYk6bfSoQ6R7r368/AEsWL+aHN/2APWV7qKyo4JRTT92/r8+ffTahUAiAo48+mm9/65ucf8EFnPW5zzNo0CDeeuMNzj3vPEKhEH379uXYWcexYMF8unbpyvTpMxg0KBIgEydNZN36dfsD6pwvnhu39gsuuJALLrjQ03G6OAMH4g1QefihB7n44kv4z+u/yTtvv82ll17MBx8u4pabf8g1111H586dPX1eo3PPPR+AY2fNonzvXvbs2XNA6IwePZoFC99P6TH4bXeVWlAi0g6afsGZGc45xo4dx+tvvnXQ9l+5/DIe/efjTJw4kb/e9xdeffXV/a916tRp//3vfPcGTjv90zzz9FyOnXkUTz/7PI7mR38VFBTsvx8KhWiIOY8Vu99YibSgBg0cROnG0v2PN5WWHtB91+jPf76XJ596GoAjjzqKmupqduzYwbx583jssX/yvRu+y549e8jJyaGwsJBvXHV1s8cE8f98YyXSgurVqxd79uyhvr6e3NxcNpWWMiDOMfgpx2BLWXW7fmZ70zkokYDYsGED77z9NgAPP/wgM2fOZPTo0ezYsX3/83V1dSxZsgSA8vJy+vfvT11dHQ8+8ECz+129ejUTJkzg29/5LlOmTmP58o855thZPPrIIzQ0NLB9+3beeP01pk+fkXTtF1xwIQsWvn/QrWk4AUybPp1Vq1aydu1aamtreeSRh/nMZ884aLshg4fw8ksvArBs2TKqq6vp3bs3L7/6GitXr2Xl6rX8xzXX8t0bbtwfTp865WQ2bYrf1fboo5HzbG++8QZdu3WjW7duB7ze2IKKd4sNJ4iE23HHn8A///kPAP72t/v47BkHH4Of8kI5rNtZ2a6f2d7UghIJiMPGjOFvf7uPb3zja4wcOYqvfu3r5Ofn8+DDj3L9dddStreM+vp6rrnmWsaNG8fNP7qFY44+kiFDhjJ+wnjKyyvi7ve23/0vr7zyCqFQiDFjxjJ79mnk5+fz7ttvM3XKJMyMn/78Vvr168fyjz/2/Thzc3P539/exqdPn024oYFLLr2McePGAXDzD29i6rRpfPazZ3DrL3/F1796Jb/97f9iZtx9z59b7EYLh8OsXr2KHj16xH29pKQ7s46Zyd7yvfzpT20fcffTn/2ciy44n5tv+gETJ03msi9f3uZ9JiIvlMPKreXt+pntzeL1pQbZpClT3QtvHHxCVaQtPlm7gtGHjUnb569bt46zzvzsQSfuxbvFixdz35/v5Ze//s1Br5184gnc+otfMnXatHatafnHy+g3/NADnkvVgoUDR413eV+4lXn/dRJ9uhSmYpftKTsXLBQRiWf8+PFxwylbFeZFvr7fW787zZX4R118IgEwbNgwtZ589MJLL6e7hJQrzA0RzgvxyvLtzB7fP93l+EItKBGRDGQGkwaX8NzSrVk7aawCSgQgOqRbJFWcc5EU8dH0YT3YVVnL26t3+vo56aKAEgHy8gvYvWunQkpSonE9qLz8gtY3boOpQ7vTpTCXv7+z3tfPSRedgxIBSvr0Z8+2LWzfsUMr6krbxayo66f83ByOP7Q3cxd9widl1fTrlnGj+VqkgBIBQrl5vq58KuKXk8b05cmPtvDgvA385ymHtv6GDKKAEpG0W7S1+ZVnJ/T1t5ss0/XtWsikwSU8MG8DV584krxQ9py5yZ4jEZGMsmhrzf6bl+2keSeP7cv28hqe/OjgpUYymQJKRNpdMoGjoGrepMElDOlRzO9fWpVVQ84VUCLSrtoaMgqqg+WYcdakgazeXsnTi7eku5yUUUCJSLtIdbAoqA50xPAeDCwp4raXVhHOklaUAkpEfOP1PFMqPqOjy8kxzpw0gOWflPP8sq3pLiclFFAikjKxgdTeoaGQgqNH9KJ/t0J++exy6hvC6S6nzRRQIpKUpmEUhIAIQg3pFMoxzp8+hFXbKnhw3oZ0l9Nmug5KRDzp6F/+mWLasO6M6d+FXz+/gtMn9Kdn58y9jkwtKBFpVpBaR15lUq1+MDMuO3o4FdX13DxnSbrLaRMFlIgcJNNCqalMrj0VBvco5nOTB/Kvj7bwzOJP0l1O0nzt4jOz2cBvgRBwt3Pu53G2+SJwM+CAD51zF/hZk4g0r72/2BdvrW7x9fF9k5/8dNHWmg49TdIZkwawcP1uvv2PDxndrwvDe3VKd0kJ860FZWYh4HbgNGAscL6ZjW2yzSjgRmCmc24ccJ1f9YhIy9ojnBZvrT7glsj2yejILancnByuO3kUAFf8dQEVNfVprihxfnbxzQBWOefWOOdqgYeAM5tscwVwu3NuN4BzbpuP9YhIHH515zUNo2RDpun+EpXp3ZVt0btLIdecOIo12yu46v73qK3PrKHnfgbUQGBjzOPS6HOxDgUONbM3zeydaJfgQczsSjNbYGYLdu7Y4VO5Ih1PKr644wVRW8PIy+clKhtCKva7cNdOb6vojh/YjcuPOYRXV2znmofez6jro/w8BxVvreOm82/kAqOA44FBwOtmNt45t+eANzl3F3AXwKQpU7NjDg+RNPP6he1n2LTF4q3VbTpHlYlivwvHT5zs+bvwxMP6UF3XwN/eWc93/vkRvzx7IqEcf5ejTwU/A6oUGBzzeBDQdC74UuAd51wdsNbMlhMJrPk+1iXSoWV6MMVKNKQ68sCJ0yf0p7qugUcXllJbH+Z/zp0U+LWj/Ayo+cAoMxsObALOA5qO0Ps/4HzgL2bWi0iX3xofaxLp0LyEU3sH05Jtzdc0rk/rYdIRW1LJ+vyUQeSFcnhg3gb21TVw+wVTKMwLpbusZvkWUM65ejO7GniWyDDze51zS8zsFmCBc25O9LVTzWwp0AB82znnrWNVRBLSWji1VzC1FEgtbdtSWCmkvPvsxAEU5OXw5zfXcfE987jr4qmUFOenu6y4zLnMOqUzacpU98Ib76a7DJGM0tZwSiRU/NRai8pLSKW7i69XcW5KTv6MnzjZ/emxF5J+/1urd3DHK6sZ0rOY+y6bweAexakoyytPfwbB7oAUkTZLNpyWbKvZfwuK1urJhPNmQXH0iF7cePoYtu6t5nN/eJMF63alu6SDKKBEslhL4dTccO2ghZL4Z2z/rtz82XHk5hjn3fUOf35zLUHqVdNs5iJZqrVwaqq1UFq8zVvrZHwf/88FLdlW42kARVPp7t4LokHdi/nJWRO449XV/OhfS3l/w25++vnD6VyQ/nhIfwUiknLNhVNL3XkHbesxkLy+rz2CS5LTqSCX6085lDkfbubRBRt5b/0efnHO4Rw9olda61JAiWSZRMIplcHUmkT225Yw04i+5OSYcdakgYzt35U7X13NBX96l0uOGsp3TzuM4vz0RIUCSiRLtLVLr7kA2bJlS8K19O/fP+H3NK0l2ZBSOLXNoX278LPPT+Dh+Rv569vreWn5Nn59ziRmDO/R7rUooESyQCLh5CWYkgml5t7f1rBKFZ1/8q4gN8TFRw1j+rAe/PG11Zz7x7e5bOZwvv2p0RTlt9+FvQookQyW6BDy1sIpXjBVb1jsqZbCIePjPp9sWLWlFSWpMaZ/V37++cN5cN4G7n1zLS99vJX/OXcSk4d0b5fPV0CJZKBkrm2KDafWgslrKDX3npbCKhUtquZG8Kl7L/UK80JcNnM404f14K7X13DOnW/zg8+M5eKjhmLm74SzCiiRDJPKVlMiwVSzcdEBjwsGT2h228b9xAsqryHVXOspmXBS917bjR/YjZ9+bgJ3vLKKH85ZwsL1u/jZ5w+nk4/D0RVQIhkimYlevYZTvGBqGkitvR4vsKo3LG5TSHmlcGofnQty+eapo5nzwWYeXbiRNTsqeejKo3y7ZkoBJRJwyc5A3lyXXmutptaCqTk1Gxe12KpKRKKtJ2k/OWacNXkgg3oU8T/Pr+Drf1/IPZdMJz839RMTKaBEAqyt55rAe6sp2WBKRnOtp5YGRahrL1imDe3BFccewh9fW8MNj33Eb744KeWfoYASCaC2TPB6wHYewileMFWXLm3x8wsHjY37vJdWVKrCqbUBEQon/x0/ug/by2t47L1NnDFxAMeP7pPS/SugRAIm0QtuIbHh4y2FU2vB5JdUDogAhVN7+tzkgby1eic/fnIpx4zsRW4KV+lVQIkERCq688D7+abYcEpVMDVtPTUdING09ZTqLj1QOLW33FAOFx4xhF8/v4JHF5Zy/owhqdt3yvYkIklLxczjiVzbFORwamkghMIpmKYO7c6I3p2489XVfHHaYEI5qbk+SgElkkapHgQB3oMJ/OvSSyac2hJMoHBKJzPjsxMH8L8vrOSpRVs4Y+KAlOxXASWSJqme3DXR4ePJhlO8ARKxradUhpPXmSEUTuk3fVgPBncv4tfPLee08f3IS8G5KAWUSBq0ZUmMZKYp8rPlpHASiFwfdd70IfzyueU8OG8DFx81rM37VECJtKNUtppSHUyN27Y0TLxp66kt4aQuvewzeUgJY/p34dfPreD0Cf3p1bltv6PUX/orInG11GqKN0VRItc0NT3P1HiL1VqrKdFZIFraPtlwGt+3UOGUwcyMy44eTmVNPbf8a0mb96cWlEg78KtLr60X3DaVSOvpgNdiWk+JDCVPhsIp2Ab3KObMSQP553ulnDlpKyeN6Zv0vtSCEvFZqsJpy5Yt+8MpXqspVnXpUl8vum0gXO/tAAAgAElEQVSua8/vc04Kp8xw1qQBDO5RxI2PLaJsX13S+1FAifjIazg17dJbvK3a8zRFTa9p8iOYYltPLZ13ao3CqWPIDeXwtVkj2FFRw0+eTP7vo7r4RHySSDgd8HoSXXrxQqm1yV+9nnNqqWsvlp9dewqnzHNI786cMXEgjy4s5fQJ/TnhsMTn6VMLSsQHyYRTvFZTMuEUb4BEPMnMXp6urj3JTJ+fMpDB3Yu44bGPkurqU0CJpFiy4RSrtVF6+1+LCSevwZQIL117GhQhzckL5fDV40awvbyG3zy3POH3K6BE2oHXcGqt1dRSOKWa1649L7TQYMc1ondnjh3Vm0cXllJZU5/QexVQIikUr/WUSDjF8jqHXnuEU7paT5IdThjdh6raBp76aEvrG8dQQIm0o5a69WK11KWXqnBqbpBEqsNJs5PLoX07U5iXw6JNZQm9T6P4RFLES+upOcmO1EtWvHBKZBLYVISTdBw19WGq68L065ZYC1stKJF24qVrL5XDyJvT1nBqKtlwUuup41ixtRyAQd2LEnqfWlAiKdCW1lOj1qYtSgUv4ZTIwoNqOUlr9lTVcuerqxnWszjhaY98bUGZ2WwzW25mq8zshjivX2pm283sg+jtK37WI5IuXgdGxNNc114ik7sWDJ5wcPAMGnvQMPL2Cidd+9QxVNc1cNtLq6iqbeCOi6bSuSCxNpFvLSgzCwG3A6cApcB8M5vjnGv6r+1h59zVftUh4jc/W09eZiCP19pKdsmM/dv4sFz7/vdqWqMO4ZOyan7zwnJKd+3j11+cyJj+XRPeh59dfDOAVc65NQBm9hBwJuDfDJYi7ay1JdvbQ1umLGqtxQQKJ0ncext284eXV5EbyuG+L89g1qG9k9qPnwE1ENgY87gUOCLOdl8ws1nACuA/nXMbm25gZlcCVwIMGjzEh1JF/NN0rr325CWUwFswgbr10i32u7D/wMFpruZg1XUNPDhvA88t3cq4AV2586KpDO5RnPT+/Awoi/Oca/L4X8CDzrkaM/sacB9w4kFvcu4u4C6ASVOmNt2HSFoksozG/tcSPP9UOGhsQsPLW5r9IZmuvEYtXYCbynBS66llsd+F4ydODtR34Yqt5dzxymo+2VvNZTOH8d3Zh1GYF2rTPv0MqFIgNuIHAZtjN3DO7Yx5+CfgVh/rEUmZIHTtNWprKIF/wQQKp2xX3xDm0YWl/OvDzQwsKeLBK47kqBE9U7JvPwNqPjDKzIYDm4DzgAtiNzCz/s65xv9GngEs87EeEd8lMjiif//++1tRhUPG7x8o0XTgQ7xWVKKh1PgZ8WpoqrXpihIZQq5uvey2dW81t720ktXbKzlv+mC+/5mxCY/Ua4lvAeWcqzezq4FngRBwr3NuiZndAixwzs0BrjGzM4B6YBdwqV/1iKRKIq2nVJ1/am3i1kRCCfwPJkgsnNR6yjxvrtrBPW+sJS9k3HHhFE6bEL8V3ha+XqjrnJsLzG3y3E0x928EbvSzBpFUaimcEh1a3pLmho/H266pREIJUtONd9A+FU5ZyznHIwtK+b8PNjF1aHd+d/5kBpYkNkOEV5pJQsQnibaeYrv54N/h4/U6p0TOLYE/wQTq1stm9eEwd7++lldXbOfcaYP578+NJzfk33wPCigRj9qj9dQ0pKD165xSGUzQvuGk1lPmaAg7/veFlSxcv5trTxrFdSePwizeYO3UUUCJeJCKUXvxlteIHSjRKF5IxROkYAK1nLKZc46/vLWOhet3c/Nnx3LpzOHt8rkKKJE2itd6auvgiJZCKpXnmBqlI5zUesocTy/+hBeWbeWrsw5pt3ACBZRIq1J1zdP4PoXNtqLg4At3W1riIt77m/vMlmjWcWnN2h2V3P/uej41ri/fnX1Yu362AkqkBa2FUypH7sXr7mtt++a0R6tp/2ep9ZS16sNh7nptNT07FfCLL0wkJ8ffc05NKaBEAiQ2dJoLq5aCCYIfTpI5nln8Cet2VnHnRVPpVpzX7p+vgBJpRrKtp5bOPzXXzRdPa0GUrHR366n1lBmq6xr414ebOXZUL2aP75eWGrTku0gS2tK156WFk+x+/dp33M9T115We37pVvZW13PdyYemrQYFlEgcfk8Gm+ow8bqvdLeeJDM0hB3PLPmEmSN6MnVo97TVoS4+kSbac2BEc8HSUjdge7aSmq1Braes9v7G3eyqrOVLRw1Lax0KKJEYQVlGIwghFKutgyEUTpnl5Y+307tzASeN6ZPWOhRQIlFewqm11lM6V89tjZ+zkUv2qKyp56PSPVx69DDyfJxnzwudgxIhNeGUTVIZTmo9ZZYF63dTH3Z8ZuKAdJeigBIJSrdeUKjl1LG9t343/boWMnFQt3SXooCSjs1rOGV66ynVy7N7pdZTZqkPh1m8uYwTDuvt+0zlXiigpMNKdTgF+fxTOiicMs+a7ZVU1TYwa1TvdJcCKKBEWpQN4ZSOa58UTplp+SflAMwY3iPNlURoFJ90SKkcFJFsOLUUHOkIvFR17ymcMteKreUM61lMz87B+B0qoETi8BJObQmR1lo1ja/7+RmppmDKbM45Vm6rSPu1T7EUUCJN+B1OiUgmqBRMkoxt5TWU7atj2tBgdO+BAko6oLYOK09H91tLQZWKQNLURdJ4/imdc+811WpAWWSs4YXAIc65W8xsCNDPOTfP9+pE2lnQZ4rwo3WkcBKInH/qXJDLqD6d013Kfl5aUH8AwsCJwC1AOfBPYLqPdYm0u5bCKd3BFBQKpuy1Yls5U4aUtPuquS3xMsz8COfcVUA1gHNuN5Dva1Ui0i4SaT0pnLLX1r3VbNy1j5kje6W7lAN4aUHVmVkIcABm1ptIi0ok4zR3/qmjtZ4S7dZTOGW3d9fuAuD0Cf6s4pwsLwH1O+BxoI+Z/TdwNvB9X6sSEV/ofJM05ZzjjVXbOXxQNwb3KE53OQdoNaCcc/eb2ULgJMCAs5xzy3yvTERSoi0X4Cqcst+yT8rZuGsfV58wMt2lHMTLKL4jgSXOudujj7uY2RHOuXd9r04khZLp3stUqZgVQuHUMTy7+BO6FeVxxsSB6S7lIF66+O4ApsQ8rozznIikmdZwkkRt3FXFvHW7uPqEkRTlh9JdzkG8jOIz55xrfOCcC6MLfCXDtOXi3HRMtpqI8X0LFU6SlH++V0qnghCXHzM83aXE5SVo1pjZNURaTQDfANb4V5JI8IzrUxCo0Xx+LCqoYOpYNu6q4t21kdZT907BvHLISwvqa8DRwCagFDgCuNLPokTaSyLnn8b1KUhJa6ot+0h1a6mRwqnjeez9YLeewNsovm3Aee1Qi4gvUr2ke1tmGk82nPxahl3B1DFt3FXFu2t2cVWAW0/gbRRfb+AKYFjs9s65L3t472zgt0AIuNs59/NmtjsbeBSY7pxb4KlyEQ9SHU6xYsOmtbBqa6sp1RRMHdvj72+iKD/YrSfwdg7qCeB14AWgweuOo7NP3A6cQqRrcL6ZzXHOLW2yXRfgGkDD1iVj+TWQQoMfJNVKd1fxzpqdfO34EYFuPYG3gCp2zn03iX3PAFY559YAmNlDwJnA0ibb/Rj4BfCtJD5DpFl+tp4yhUJJmnr8/U0U5oe44thD0l1Kq7wMknjSzE5PYt8DgY0xj0ujz+1nZpOBwc65J1vakZldaWYLzGzBzh07kihFOppULumeLsm2nib0Ldh/k+wS+124a+fOhN+/ac8+3l69k4uPGkqPgLeewFtAXUskpPaZ2V4zKzezvR7eF2/O9v3XU5lZDvA/wDdb25Fz7i7n3DTn3LSevYI1264ET0dtOSmUsl/sd2GPnj0Tfv8T72+iMC/ElRnQegJvo/i6JLnvUmBwzONBwOaYx12A8cArkTUR6QfMMbMzNFBCOjqvrScFkni1dW81b67ewZdnDqdn58z4e+NpRggz6w6MAvb/q3HOvdbK2+YDo8xsOJFrqM4DLoh5fxmwvzlkZq8A31I4SVt4bT0FuXvPSzgpmCRR//pwM6Ec44pZmdF6Am/DzL9CpJtvEPABcCTwNpEVdpvlnKs3s6uBZ4kMM7/XObfEzG4BFjjn5rS1eJFY6ejaaxombQ0+hZP4YVdlLa+u2M650wfTt6s/19T5wUsL6loiy7u/45w7wcwOA37kZefOubnA3CbP3dTMtsd72adIurUUIi291lJ4qUtP/PTkR5txDr523Ih0l5IQLwFV7ZyrNjPMrMA597GZjfa9MpEEJNJ6aksrpy3XJbX1miaFkyRj7746Xvx4G2dOHhC4BQlb42UUX6mZlQD/BzxvZk9w4GAHkYySbFD4Nd2QFwonSdbTi7dQVx/mG8cHb0HC1ngZxfe56N2bzexloBvwtK9ViSSgPc49KZwkE1XW1PPc0q2cNqEfI/t0Tnc5CWu1BWVmf2u875x7NTq44V5fqxIJEIWTZKrnlm6lqraBqwK4nLsXXs5BjYt9EJ1jb6o/5YgES7rCScEkbVVd18DTi7dw4ujejBvQLd3lJKXZFpSZ3Whm5cDh0Rkk9kYfbyMygaxI2iXbvecleNIRTpoNQlLlxWXbKK+u56oTR6W7lKQ124Jyzv0M+JmZ/cw5d2M71iTSYSiMxA+19WGeWrSZow7pydSh3dNdTtK8dPE9aWadnHOVZnYRMAX4rXNuvc+1ifiqsYXUdNi51l+STPf6yu3srqrj6hMz89xTIy8BdQcw0cwmAt8B7gH+ChznZ2Ei7UWBJNnEOcezSz5h3ICuHD0i8Qllg8RLQNU755yZnUmk5XSPmV3id2EimUahJEGwbMteNu7exy9OGkV0Iu6M5SWgys3sRuAiYFZ0FF+ev2WJZAaFkgTNs0u2UlKcxxkTB6S7lDbzMpPEuUANcLlz7hMiiw7+0teqRDKAwkmCZkdFDQvW7+K86UMozAulu5w28zKTxCfAb2IebyByDkqkQ1IwSVC99PE2AC48YkiaK0mNZgPKzN5wzh0TvfbJxb4EOOdcV9+rEwkYhZMElXOOt1bv4KgRPTNuUtjmNNvF55w7Jvqzi3Oua8yti8JJgqI9A0PhJEG2enslW/fWcObEgekuJWVaakH1aOmNzrldqS9HJHET+hbEnVEiNlDaOqGswkmCbuH63YTM+NS4fukuJWVaOge1kEjXngFDgN3R+yXABmC479WJeBQbUvHCpPG5RINKwSSZ4sPSPUweUkK34uwZZN3SVEfDAczsTmBOdHVczOw04OT2KU/EOy9hkkhQKZwkU+ypqmXtjkrOnjoo3aWklJfroKY7577W+MA597SZ/djHmkR8p/CRbPJRaRkAxx3aO82VpJaXgNphZt8H/k6ky+8iYKevVYmIiGcflO6hV+d8xvbPrvFrXi7UPR/oDTwevfWOPiciImkWDjsWlZYx69De5ORk9tRGTXm5UHcXcG071CIiIglavb2Cipp6jh/dJ92lpJyXFpSIiATUh6VlGHDsyF7pLiXlFFAiIhls8aYyDh/Uje6d8tNdSsopoEREMlRlTT0rt5UzK8tG7zVq9RyUmf0uztNlwALn3BOpL0lERLxYsnkvYQfHjsrOgPLSgioEJgEro7fDgR7A5Wb2vz7WJiIiLfiodA/F+SEmDylJdym+8HId1EjgROdcPYCZ3QE8B5wCLPKxNhERacHyreUcMbwHeaHsPFvj5agGAp1iHncCBjjnGogsZCgiIu0s7GDznn2MH9gt3aX4xksL6hfAB2b2CpHJYmcBPzWzTsALPtYmIiLNqGsIE3Ywul+XdJfiGy8X6t5jZnOBGUQC6nvOuc3Rl7/tZ3EiIhJfXUMYgCFZsjhhPF47LnOA7cAuYKSZzfKvJBERaU1DOLLQee8u2TvxsZdh5rcC5wJLgHD0aQe85mNdIiLSgoawIwR0L86+C3QbeTkHdRYw2jmnAREiIgHhoj/zs3QEH3jr4lsDJLVEo5nNNrPlZrbKzG6I8/rXzGyRmX1gZm+Y2dhkPkdEpKNxDnKMrJvBPJaXFlQVkVF8LxIzrNw5d01LbzKzEHA7keulSoH5ZjbHObc0ZrMHnHN3Rrc/A/gNMDuxQxAR6XhyLDLUvLY+TH5udraivATUnOgtUTOAVc65NQBm9hBwJrA/oJxze2O278S/W60iItKCHIu0nCpr6snPzc7zUF6Gmd+X5L4HAhtjHpcCRzTdyMyuAq4H8oET4+3IzK4ErgQYNHhIkuWIiGS22O/CHgOG0gWoqKnPypnMoYVzUGb2SPTnIjP7qOnNw77jdYwe1EJyzt3unBsBfBf4frwdOefucs5Nc85N69kr+9Y8ERHxIva7sEuXyAW65dX1aa7KPy21oBpX0f1MkvsuBQbHPB4EbG5mW4CHgDuS/CwRkQ4lx4wwkRZUtmq2BeWc2xL9ud45tx7YDZTH3FozHxhlZsPNLB84jybnssxsVMzDTxOZLV1ERFrReA6qoqYuzZX4x8uFul8FbgH28e8uOgcc0tL7nHP1ZnY18CwQAu51zi0xs1uIrCU1B7jazE4G6ogE4CVJH4mISAfSOLq8o3bxNfoWMM45tyPRnTvn5gJzmzx3U8z9aw96k4iItKrx+qcO2cUXYzWRa6FERCQg9nfxdfAW1I3AW2b2LglcqCsiIv4xiwyVrsziFpSXgPoj8BKR1XPDrWwrIiLtwIBQjlEfzt75DbwEVL1z7nrfKxERkYTk5Nj+ZTeykZdzUC+b2ZVm1t/MejTefK9MRERaFDK1oC6I/rwx5rlWh5mLiIi/QlnegvIyF9/w9ihEREQSE8qx/Uu/ZyMvF+qGiMzyMCx2e+fcb/wrS0REWhNZcqMDt6CAfwHVaBSfiEigZPsgCS8BNcg5d7jvlYiISEKyfZCEl1F8T5vZqb5XIiIiCckxI5zFAeWlBfUO8LiZ5RCZ1NUA55zr6mtlIiLSopwcsroF5SWgfg0cBSxyLovPxomIZJiQWVYPkvDSxbcSWKxwEhEJFjOjviF7v5q9tKC2AK+Y2dMcOFmshpmLiKRRKCe7W1BeAmpt9JYfvYmISADkWAc/B+Wc+1F7FCIiIolpCDtC0XWhspGXmSR6A98BxgGFjc875070sS4REWlFdV2YTgVeOsIyk5dBEvcDHwPDgR8B64D5PtYkIiIeVNc10KkglO4yfOMloHo65+4B6pxzrzrnvgwc6XNdIiLSin11DXTKz94WlJcjq4v+3GJmnwY2A4P8K0lERFrjgJr67O7i83JkPzGzbsA3gduArsB/+lqViIi0qPHS1Gzu4vMyiu/J6N0y4AR/yxERES/C0bUlOmQLysxuI9KKjMs5d40vFYmISKsaL9Dt3BEDClgQc/9HwA99rkVERDxqvD63uCMOknDO3dd438yui30sIiLp1RHOQXkZZg4tdPWJiEj7a2gMqCxuQXkNKBERCZDGOWI76iCJcv7dcio2s72NL6EFC0VE0irsHCE66CAJ51yX9ixERES8CzsIAcU6ByUiIkES1jkoEREJIucgN8cI5WTvchsKKBGRDOScoyAvu7/CfT06M5ttZsvNbJWZ3RDn9evNbKmZfWRmL5rZUD/rERHJFg7IDymgkmJmIeB24DRgLHC+mY1tstn7wDTn3OHAP4Bf+FWPiEg2cQ7ycxVQyZoBrHLOrXHO1QIPAWfGbuCce9k5VxV9+A5axkNExBPnnFpQbTAQ2BjzuDT6XHMuB572sR4RkazhgIK87B1iDv4GVLyhJXGnTDKzi4BpwC+bef1KM1tgZgt27tiRwhJFRDJH7HdhTW0tBeriS1opMDjm8SAiq/EewMxOBv4LOMM5VxNvR865u5xz05xz03r26uVLsSIiQRf7XZiXm6cuvjaYD4wys+Fmlg+cB8yJ3cDMJgN/JBJO23ysRUQkq4SBQnXxJcc5Vw9cDTwLLAMecc4tMbNbzOyM6Ga/BDoDj5rZB2Y2p5ndiYhIjI5wHZSvc2Q45+YCc5s8d1PM/ZP9/HwRkWzlQOegREQkeJyDglx18YmISMA459SCEhGR4HGOrD8Hld1HJyKSpSLnoNTFJyIiAaMuPhERCSSHJosVEZGAytNMEiIiEkSWvYvpAgooEZGMlZPlCaWAEhHJUDnZnU8KKBGRTKUWlIiIBJIpoEREJIjUxSciIoGkLj4REQkktaBERCSQdA5KREQCSV18IiISSOriExGRQFILSkREAinL80kBJSKSqdSCEhGRQMryfFJAiYhkKrWgREQkkLI8nxRQIiKZSi0oEREJJAWUiIgEki7UFRGRQNJcfCIiEkhqQYmISCDpHJSIiARSTpZ/g2f54YmIZC+dgxIRkUBSF5+IiASSBkm0gZnNNrPlZrbKzG6I8/osM3vPzOrN7Gw/axERyTZqQSXJzELA7cBpwFjgfDMb22SzDcClwAN+1SEikq2yPJ/I9XHfM4BVzrk1AGb2EHAmsLRxA+fcuuhrYR/rEBHJSmpBJW8gsDHmcWn0uYSZ2ZVmtsDMFuzcsSMlxYmIZJrY70JQQLVFvD85l8yOnHN3OeemOeem9ezVq41liYhkptjvQtAgibYoBQbHPB4EbPbx80REOhRdB5W8+cAoMxtuZvnAecAcHz9PRKRDUQsqSc65euBq4FlgGfCIc26Jmd1iZmcAmNl0MysFzgH+aGZL/KpHRCTbZPs5KD9H8eGcmwvMbfLcTTH35xPp+hMRkQRle0BpJgkRkQyV5fmkgBIRyVRqQYmISCBpuQ0REQkktaBERCSQNMxcREQCSRfqiohIIKmLT0REAkldfCIiEkhqQYmIiKSBAkpEJEO5pBYwyhwKKBGRDOWSW2IvYyigREQyVDi780kBJSKSqVyW9/EpoEREMpRaUCIiElDZnVAKKBGRDKUWlIiIBFJY56BERCSIsjyfFFAiIplKLSgREQmkLM8nBZSISKZSQImISCBpqiMREQkkDTMXEZFA0lRHIiISSGpBiYhIIKkFJSIigZTd8aSAEhHJWOEs7+NTQImIZKjsjicFlIhIxtJURyIiEkzZnU8KKBGRTJXlp6AUUCIimUpTHbWBmc02s+VmtsrMbojzeoGZPRx9/V0zG+ZnPSIi2SSUY+kuwVe+BZSZhYDbgdOAscD5Zja2yWaXA7udcyOB/wFu9aseEZFskx/K7k4wP49uBrDKObfGOVcLPASc2WSbM4H7ovf/AZxkZtn9XwIRkRTJU0AlbSCwMeZxafS5uNs45+qBMqBn0x2Z2ZVmtsDMFuzcscOnckVEgi32uxAUUG0RryXU9Iyel21wzt3lnJvmnJvWs1evlBQnIpJpYr8LAfJzs7vDyc+AKgUGxzweBGxubhszywW6Abt8rElEJGvk5qgFlaz5wCgzG25m+cB5wJwm28wBLonePxt4yWX79LwiIimSl5vdAZXr146dc/VmdjXwLBAC7nXOLTGzW4AFzrk5wD3A38xsFZGW03l+1SMikm1ys3yYuW8BBeCcmwvMbfLcTTH3q4Fz/KxBRCRb5WT5oOfsbh+KiGSxLG9AKaBERDKVZpIQEZFAyvZ5DRRQIiIZKssbUAooEZFMpS4+EREJJI3iExGRQFJAiYhIIGV5Dx+WaTMLmdl2YH0Sb+0FZONU6Nl4XDqmzKBjSs4O59zstu7EzJ5JxX6CLOMCKllmtqBxBuBsko3HpWPKDDom8Zu6+EREJJAUUCIiEkgdKaDuSncBPsnG49IxZQYdk/iqw5yDEhGRzNKRWlAiIpJBFFAiIhJIWRdQZjbbzJab2SozuyHO6wVm9nD09XfNbFj7V5kYD8d0qZltN7MPorevpKPORJjZvWa2zcwWN/O6mdnvosf8kZlNae8aE+XhmI43s7KY39NN8bYLEjMbbGYvm9kyM1tiZtfG2SajflcejynjfldZyTmXNTciS8uvBg4B8oEPgbFNtvkGcGf0/nnAw+muOwXHdCnw+3TXmuBxzQKmAIubef104GnAgCOBd9NdcwqO6XjgyXTXmeAx9QemRO93AVbE+fuXUb8rj8eUcb+rbLxlWwtqBrDKObfGOVcLPASc2WSbM4H7ovf/AZxkwV5UxcsxZRzn3GvArhY2ORP4q4t4Bygxs/7tU11yPBxTxnHObXHOvRe9Xw4sAwY22Syjflcej0kCINsCaiCwMeZxKQf/xdu/jXOuHigDerZLdcnxckwAX4h2r/zDzAa3T2m+8nrcmeYoM/vQzJ42s3HpLiYR0e7wycC7TV7K2N9VC8cEGfy7yhbZFlDxWkJNx9F72SZIvNT7L2CYc+5w4AX+3ULMZJn2e/LiPWCoc24icBvwf2muxzMz6wz8E7jOObe36ctx3hL431Urx5Sxv6tskm0BVQrEth4GAZub28bMcoFuBLtbptVjcs7tdM7VRB/+CZjaTrX5ycvvMqM45/Y65yqi9+cCeWbWK81ltcrM8oh8kd/vnHssziYZ97tq7Zgy9XeVbbItoOYDo8xsuJnlExkEMafJNnOAS6L3zwZecs4F+X97rR5Tk/7+M4j0qWe6OcDF0RFiRwJlzrkt6S6qLcysX+P5TjObQeTf3870VtWyaL33AMucc79pZrOM+l15OaZM/F1lo9x0F5BKzrl6M7saeJbI6Ld7nXNLzOwWYIFzbg6Rv5h/M7NVRFpO56Wv4tZ5PKZrzOwMoJ7IMV2atoI9MrMHiYyU6mVmpcAPgTwA59ydwFwio8NWAVXAZemp1DsPx3Q28HUzqwf2AecF/D9HADOBLwGLzOyD6HPfA4ZAxv6uvBxTJv6uso6mOhIRkUDKti4+ERHJEgooEREJJAWUiIgEkgJKREQCSQElIiKBpICSpJlZQ3Sm58Vm9qiZFZvZsOZm825hP6+Y2TS/6kygju81efxWG/ZVEf05wMz+0cJ2JWb2jWQ/RySbKaCkLfY55yY558YDtcDX0l1QGx0QUM65o9u6Q+fcZufc2S1sUkJkhn0RaUIBJanyOjAyej9kZn+KrrXznJkVmdkIM3uvcWMzG2VmC5vuxMzONxlLdfsAAAQZSURBVLNF0VbZrTHPX25mK6KtrT+Z2e+jz/c2s3+a2fzobWb0+Zstsj7TK2a2xsyuidnXRWY2L9r6+6OZhczs50BR9Ln7o9tVxLznO9G6Poxu27Tu4Wb2drSGH8c8v79FaWbjYj73IzMbBfwcGBF97pdm1tnMXjSz96Kfd2bMfpY1/XONvjbSzF6I1vaemY2IPv/taD0fmdmPEv6NiqRbutf70C1zb0BF9Gcu8ATwdWAYkRktJkVfewS4KHr/5Zjnfwr8R/T+K8A0YACwAegd3edLwFnR59cBPYjMzPA60fWvgAeAY6L3hxCZvgbgZuAtoADoRWSamjxgDJHJdfOi2/0BuDj2eOIc32nRfRVHH/eI82cxJ2Y/V8W8dxjR9aGITDp6YfR+PlAU+3rMn2XX6P1eRGZnsFb+XN8FPhe9XwgUA6cCd0XfmwM8CcxK998Z3XRL5JZVUx1JuyuKmSrmdSLTSA0A1jrnGp9fSOTLFeBu4DIzux44l8haV7GmA68457YDRFsys6Kvveqc2xV9/lHg0OjzJwNj7d9LenU1sy7R+0+5yCS6NWa2DegLnERkMt350fcUAdtaOc6TgT8756oAGutoYibwhej9vwG3xtnmbeC/zGwQ8JhzbqUdvBSZAT81s1lAmMiyFX2jrx305xo91oHOucejtVUDmNmpRELq/ej2nYFRwGutHKtIYCigpC32OecmxT4R/cKtiXmqgUgIQGT26B8SaRktdM41nXyzuYUjW1pQMgc4yjm3z0MdudF93eecu7GFfcb7fC9zgrW4jXPuATN7F/g08KyZfQVY02SzC4m0IKc65+rMbB2RVhHE/3Nt6c/sZ865P3qoWySQdA5K2k30f/fPAncAf46zybvAcWbWy8xCwPnAq8C86PPdLbJEyhdi3vMccHXjAzM7IDDjeBE428z6RLfvYWZDo6/VWWQZhqaeA75sZsWN74mzzZv8e+LhC+N9sJkdAqxxzv2OSJfg4UA5kWXHG3UDtkXD6QRg6MF7+jcXWceo1MzOin5GQbTOZ6M1d44+P7DxmEUyhQJK2tv9RFoazzV9wUWWaLiRyLmqD4H3nHNPOOc2ETln9S6RBRmXElkJGeAaYFp0IMBSWhlJ6JxbCnwfeM7MPgKeBxqXK7kL+KhxkETMe54hEigLol2a34qz62uBq8xsPpGQiedcYHF0H4cRWSZ9J/BmdFDIL6N/PtPMbAGRoPu4peOJ+hKRGe0/InKurJ9z7jki5+feNrNFwD84MAhFAk+zmUu7MrNvAd2ccz9I8H2dnXMV0RbU40SWHXnclyJFJBB0DkrajZk9DowATkzi7Teb2clEzsc8h5bgFsl6akGJiEgg6RyUiIgEkgJKREQCSQElIiKBpIASEZFAUkCJiEgg/T9M2H5uZ9G7BQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a173f8dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = sns.jointplot(x='phy', y='seq', kind='kde', data=df)\n",
    "g.set_axis_labels('Phylogenetic distance', 'Hamming distance')\n",
    "fig = g.fig\n",
    "fig.tight_layout()\n",
    "fig.savefig('kde.all.pdf', bbox_to_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Highlighting and regression by catalog"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "gb = df.groupby('group')\n",
    "groups = list(gb.groups)\n",
    "dfs = [gb.get_group(x) for x in groups]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1756b668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "regs = [sp.stats.linregress(x[['phy', 'seq']].values) for x in dfs]\n",
    "g = sns.lmplot(x='phy', y='seq', hue='group', hue_order=groups, data=df,\n",
    "               scatter_kws={'alpha': 0.25, 's': 5, 'lw': 0}, legend=False)\n",
    "ax = plt.gca()\n",
    "for i in range(len(regs)):\n",
    "    ax.text(0.1, 0.9 - i * 0.1, groups[i], color=sns.color_palette()[i], transform=ax.transAxes)\n",
    "    ax.text(0.1, 0.85 - i * 0.1, 'slope = %.3f' % regs[i].slope, transform=ax.transAxes)\n",
    "ax.set_xlabel('Phylogenetic distance')\n",
    "ax.set_ylabel('Hamming distance');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig = g.fig\n",
    "fig.tight_layout()\n",
    "fig.savefig('scatter.3.pdf', bbox_to_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Narrow down the comparison range"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AA: {'count': '4.95e+03', 'mean': '1.55', 'std': '0.38', 'min': '1e-05', '25%': '1.43', '50%': '1.63', '75%': '1.79', 'max': '2.16'}\n",
      "AB: {'count': '1e+04', 'mean': '1.96', 'std': '0.226', 'min': '1.4', '25%': '1.79', '50%': '1.95', '75%': '2.12', 'max': '2.61'}\n",
      "BB: {'count': '4.95e+03', 'mean': '1.57', 'std': '0.332', 'min': '0.0153', '25%': '1.34', '50%': '1.57', '75%': '1.8', 'max': '2.52'}\n"
     ]
    }
   ],
   "source": [
    "for i, group in enumerate(groups):\n",
    "    print('%s: ' % group + str({k: '%.3g' % v for k, v in dict(dfs[i]['phy'].describe()).items()}))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Upper and lower limits arbitrarily determined based on the distributions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "phymin, phymax = 1.2, 2.4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "dfx = df.query('%s < phy < %s' % (phymin, phymax))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "gbx = dfx.groupby('group')\n",
    "dfxs = [gbx.get_group(x) for x in groups]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a17910240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "regx = [sp.stats.linregress(x[['phy', 'seq']].values) for x in dfxs]\n",
    "g = sns.lmplot(x='phy', y='seq', hue='group', hue_order=groups, data=dfx,\n",
    "               scatter_kws={'alpha': 0.25, 's': 5, 'lw': 0}, legend=False)\n",
    "ax = plt.gca()\n",
    "for i, reg in enumerate(regx):\n",
    "    ax.text(0.1, 0.9 - i * 0.1, groups[i], color=sns.color_palette()[i], transform=ax.transAxes)\n",
    "    ax.text(0.1, 0.85 - i * 0.1, 'slope = %.3f' % reg.slope, transform=ax.transAxes)\n",
    "ax.set_xlabel('Phylogenetic distance')\n",
    "ax.set_ylabel('Sequential distance');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig = g.fig\n",
    "fig.tight_layout()\n",
    "fig.savefig('scatter.3.lim.pdf', bbox_to_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Normalize sub-populations prior to comparison"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/qiz173/anaconda/envs/py3/lib/python3.6/site-packages/ipykernel_launcher.py:2: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  \n"
     ]
    }
   ],
   "source": [
    "for x in dfs:\n",
    "    x['phys'] = scale(x['phy'])\n",
    "dfx = pd.concat(dfs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a17795dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "regx = [sp.stats.linregress(x[['phys', 'seq']].values) for x in dfs]\n",
    "g = sns.lmplot(x='phys', y='seq', hue='group', hue_order=groups, data=dfx,\n",
    "               scatter_kws={'alpha': 0.25, 's': 5, 'lw': 0}, legend=False)\n",
    "ax = plt.gca()\n",
    "for i, reg in enumerate(regx):\n",
    "    ax.text(0.1, 0.9 - i * 0.1, groups[i], color=sns.color_palette()[i], transform=ax.transAxes)\n",
    "    ax.text(0.1, 0.85 - i * 0.1, 'slope = %.3f' % reg.slope, transform=ax.transAxes)\n",
    "ax.set_xlabel('Phylogenetic distance')\n",
    "ax.set_ylabel('Sequential distance');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig = g.fig\n",
    "fig.tight_layout()\n",
    "fig.savefig('scatter.3.scale.pdf', bbox_to_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Binning phylogenetic distance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    19900.000000\n",
       "mean         1.757958\n",
       "std          0.358225\n",
       "min          0.000010\n",
       "25%          1.574685\n",
       "50%          1.792880\n",
       "75%          1.990857\n",
       "max          2.605530\n",
       "Name: phy, dtype: float64"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "des = df['phy'].describe()\n",
    "des"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.0415084205574536, 2.4744071904978222, 14)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "window = 0.1\n",
    "start = des['mean'] - des['std'] * 2\n",
    "end = des['mean'] + des['std'] * 2\n",
    "steps = int((end - start) / window)\n",
    "start, end, steps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "start = round(start, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Inter-domain vs intra-domain comparison per bin"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "df1 = df.query('group == \"AB\"')\n",
    "df2 = df.query('group != \"AB\"')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
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       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>bin</th>\n",
       "      <th>n.inter</th>\n",
       "      <th>n.intra</th>\n",
       "      <th>mean.inter</th>\n",
       "      <th>mean.intra</th>\n",
       "      <th>ratio</th>\n",
       "      <th>Mann–Whitney U</th>\n",
       "      <th>p-value</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.4</td>\n",
       "      <td>72</td>\n",
       "      <td>1115</td>\n",
       "      <td>0.495</td>\n",
       "      <td>0.434</td>\n",
       "      <td>1.141</td>\n",
       "      <td>7880</td>\n",
       "      <td>1.28e-30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.5</td>\n",
       "      <td>462</td>\n",
       "      <td>1184</td>\n",
       "      <td>0.494</td>\n",
       "      <td>0.448</td>\n",
       "      <td>1.103</td>\n",
       "      <td>118609</td>\n",
       "      <td>8.99e-72</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.6</td>\n",
       "      <td>946</td>\n",
       "      <td>1275</td>\n",
       "      <td>0.505</td>\n",
       "      <td>0.467</td>\n",
       "      <td>1.080</td>\n",
       "      <td>302057</td>\n",
       "      <td>1.57e-90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.7</td>\n",
       "      <td>1105</td>\n",
       "      <td>1382</td>\n",
       "      <td>0.516</td>\n",
       "      <td>0.482</td>\n",
       "      <td>1.071</td>\n",
       "      <td>408186</td>\n",
       "      <td>4.88e-89</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.8</td>\n",
       "      <td>1540</td>\n",
       "      <td>1018</td>\n",
       "      <td>0.532</td>\n",
       "      <td>0.486</td>\n",
       "      <td>1.094</td>\n",
       "      <td>331192</td>\n",
       "      <td>1.3e-135</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1.9</td>\n",
       "      <td>1771</td>\n",
       "      <td>656</td>\n",
       "      <td>0.545</td>\n",
       "      <td>0.491</td>\n",
       "      <td>1.111</td>\n",
       "      <td>174110</td>\n",
       "      <td>2.1e-155</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2.0</td>\n",
       "      <td>1410</td>\n",
       "      <td>430</td>\n",
       "      <td>0.553</td>\n",
       "      <td>0.494</td>\n",
       "      <td>1.120</td>\n",
       "      <td>80749</td>\n",
       "      <td>5.86e-118</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2.1</td>\n",
       "      <td>1139</td>\n",
       "      <td>141</td>\n",
       "      <td>0.563</td>\n",
       "      <td>0.475</td>\n",
       "      <td>1.183</td>\n",
       "      <td>6292</td>\n",
       "      <td>9.45e-72</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2.2</td>\n",
       "      <td>872</td>\n",
       "      <td>74</td>\n",
       "      <td>0.576</td>\n",
       "      <td>0.476</td>\n",
       "      <td>1.211</td>\n",
       "      <td>196</td>\n",
       "      <td>3.95e-46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2.3</td>\n",
       "      <td>441</td>\n",
       "      <td>22</td>\n",
       "      <td>0.582</td>\n",
       "      <td>0.470</td>\n",
       "      <td>1.238</td>\n",
       "      <td>0</td>\n",
       "      <td>1.19e-15</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   bin  n.inter  n.intra  mean.inter  mean.intra  ratio  Mann–Whitney U  \\\n",
       "0  1.4       72     1115       0.495       0.434  1.141            7880   \n",
       "1  1.5      462     1184       0.494       0.448  1.103          118609   \n",
       "2  1.6      946     1275       0.505       0.467  1.080          302057   \n",
       "3  1.7     1105     1382       0.516       0.482  1.071          408186   \n",
       "4  1.8     1540     1018       0.532       0.486  1.094          331192   \n",
       "5  1.9     1771      656       0.545       0.491  1.111          174110   \n",
       "6  2.0     1410      430       0.553       0.494  1.120           80749   \n",
       "7  2.1     1139      141       0.563       0.475  1.183            6292   \n",
       "8  2.2      872       74       0.576       0.476  1.211             196   \n",
       "9  2.3      441       22       0.582       0.470  1.238               0   \n",
       "\n",
       "     p-value  \n",
       "0   1.28e-30  \n",
       "1   8.99e-72  \n",
       "2   1.57e-90  \n",
       "3   4.88e-89  \n",
       "4   1.3e-135  \n",
       "5   2.1e-155  \n",
       "6  5.86e-118  \n",
       "7   9.45e-72  \n",
       "8   3.95e-46  \n",
       "9   1.19e-15  "
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res = []\n",
    "for i in range(0, steps, 1):\n",
    "    bin_ = round(i * window + start, 2)\n",
    "    x1 = df1.query('%s <= phy < %s' % (bin_, bin_ + window))['seq']\n",
    "    x2 = df2.query('%s <= phy < %s' % (bin_, bin_ + window))['seq']\n",
    "    n1, n2 = len(x1), len(x2)\n",
    "    if min(n1, n2) < 5:\n",
    "        continue\n",
    "    u = sp.stats.mannwhitneyu(x1, x2)\n",
    "    mean1, mean2 = x1.mean(), x2.mean()\n",
    "    res.append([bin_, n1, n2, round(mean1, 3), round(mean2, 3), round(mean1 / mean2, 3),\n",
    "                int(u.statistic), '%.3g' % u.pvalue])\n",
    "res = pd.DataFrame(res, columns=[\n",
    "    'bin', 'n.inter', 'n.intra', 'mean.inter', 'mean.intra', 'ratio', 'Mann–Whitney U', 'p-value'])\n",
    "res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "res.to_csv('compare.2.tsv', sep='\\t')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Three-way comparison per bin"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
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       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>bin</th>\n",
       "      <th>n.AA</th>\n",
       "      <th>n.AB</th>\n",
       "      <th>n.BB</th>\n",
       "      <th>mean.AA</th>\n",
       "      <th>mean.AB</th>\n",
       "      <th>mean.BB</th>\n",
       "      <th>Kruskal-Wallis H</th>\n",
       "      <th>p-value</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.4</td>\n",
       "      <td>545</td>\n",
       "      <td>72</td>\n",
       "      <td>570</td>\n",
       "      <td>0.459</td>\n",
       "      <td>0.495</td>\n",
       "      <td>0.409</td>\n",
       "      <td>555</td>\n",
       "      <td>2.52e-121</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.5</td>\n",
       "      <td>588</td>\n",
       "      <td>462</td>\n",
       "      <td>596</td>\n",
       "      <td>0.485</td>\n",
       "      <td>0.494</td>\n",
       "      <td>0.412</td>\n",
       "      <td>1044</td>\n",
       "      <td>1.3e-227</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.6</td>\n",
       "      <td>736</td>\n",
       "      <td>946</td>\n",
       "      <td>539</td>\n",
       "      <td>0.498</td>\n",
       "      <td>0.505</td>\n",
       "      <td>0.426</td>\n",
       "      <td>1175</td>\n",
       "      <td>6.79e-256</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.7</td>\n",
       "      <td>834</td>\n",
       "      <td>1105</td>\n",
       "      <td>548</td>\n",
       "      <td>0.511</td>\n",
       "      <td>0.516</td>\n",
       "      <td>0.437</td>\n",
       "      <td>1236</td>\n",
       "      <td>3.97e-269</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.8</td>\n",
       "      <td>582</td>\n",
       "      <td>1540</td>\n",
       "      <td>436</td>\n",
       "      <td>0.520</td>\n",
       "      <td>0.532</td>\n",
       "      <td>0.441</td>\n",
       "      <td>1114</td>\n",
       "      <td>8.04e-243</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1.9</td>\n",
       "      <td>347</td>\n",
       "      <td>1771</td>\n",
       "      <td>309</td>\n",
       "      <td>0.525</td>\n",
       "      <td>0.545</td>\n",
       "      <td>0.453</td>\n",
       "      <td>907</td>\n",
       "      <td>7.33e-198</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2.0</td>\n",
       "      <td>196</td>\n",
       "      <td>1410</td>\n",
       "      <td>234</td>\n",
       "      <td>0.532</td>\n",
       "      <td>0.553</td>\n",
       "      <td>0.461</td>\n",
       "      <td>663</td>\n",
       "      <td>8.23e-145</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2.1</td>\n",
       "      <td>21</td>\n",
       "      <td>1139</td>\n",
       "      <td>120</td>\n",
       "      <td>0.532</td>\n",
       "      <td>0.563</td>\n",
       "      <td>0.466</td>\n",
       "      <td>331</td>\n",
       "      <td>8.91e-73</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   bin  n.AA  n.AB  n.BB  mean.AA  mean.AB  mean.BB  Kruskal-Wallis H  \\\n",
       "0  1.4   545    72   570    0.459    0.495    0.409               555   \n",
       "1  1.5   588   462   596    0.485    0.494    0.412              1044   \n",
       "2  1.6   736   946   539    0.498    0.505    0.426              1175   \n",
       "3  1.7   834  1105   548    0.511    0.516    0.437              1236   \n",
       "4  1.8   582  1540   436    0.520    0.532    0.441              1114   \n",
       "5  1.9   347  1771   309    0.525    0.545    0.453               907   \n",
       "6  2.0   196  1410   234    0.532    0.553    0.461               663   \n",
       "7  2.1    21  1139   120    0.532    0.563    0.466               331   \n",
       "\n",
       "     p-value  \n",
       "0  2.52e-121  \n",
       "1   1.3e-227  \n",
       "2  6.79e-256  \n",
       "3  3.97e-269  \n",
       "4  8.04e-243  \n",
       "5  7.33e-198  \n",
       "6  8.23e-145  \n",
       "7   8.91e-73  "
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res = []\n",
    "for i in range(0, steps, 1):\n",
    "    bin_ = round(i * window + start, 2)\n",
    "    xs = [x.query('%s <= phy < %s' % (bin_, bin_ + window))['seq'] for x in dfs]\n",
    "    ns = [len(x) for x in xs]\n",
    "    if min(ns) < 5:\n",
    "        continue\n",
    "    h = sp.stats.kruskal(xs[0], xs[1], xs[2])\n",
    "    means = [x.mean() for x in xs]\n",
    "    res.append([bin_, ns[0], ns[1], ns[2], round(means[0], 3), round(means[1], 3), round(means[2], 3),\n",
    "                int(h.statistic), '%.3g' % h.pvalue])\n",
    "res = pd.DataFrame(res, columns=[\n",
    "    'bin', 'n.AA', 'n.AB', 'n.BB', 'mean.AA', 'mean.AB', 'mean.BB', 'Kruskal-Wallis H', 'p-value'])\n",
    "res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "res.to_csv('compare.3.tsv', sep='\\t')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "bins = np.arange(float(res['bin'].head(1)), float(res['bin'].tail(1)), window)\n",
    "labels = [str(x) for x in bins]\n",
    "bins = np.append(bins, bins[-1] + window)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>phy</th>\n",
       "      <th>seq</th>\n",
       "      <th>group</th>\n",
       "      <th>bin</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.86670</td>\n",
       "      <td>0.56058</td>\n",
       "      <td>AB</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.48027</td>\n",
       "      <td>0.44219</td>\n",
       "      <td>BB</td>\n",
       "      <td>1.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.40161</td>\n",
       "      <td>0.41009</td>\n",
       "      <td>BB</td>\n",
       "      <td>1.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.33363</td>\n",
       "      <td>0.40544</td>\n",
       "      <td>BB</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.93589</td>\n",
       "      <td>0.57145</td>\n",
       "      <td>AB</td>\n",
       "      <td>1.9</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       phy      seq group  bin\n",
       "0  1.86670  0.56058    AB  1.8\n",
       "1  1.48027  0.44219    BB  1.4\n",
       "2  1.40161  0.41009    BB  1.4\n",
       "3  1.33363  0.40544    BB  NaN\n",
       "4  1.93589  0.57145    AB  1.9"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['bin'] = pd.cut(df['phy'], bins=bins, labels=labels)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "mpl.rcParams['figure.figsize'] = (10, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1741ab38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = sns.barplot(x='bin', y='seq', hue='group', ci='sd', hue_order=groups, data=df)\n",
    "plt.ylim(0,)\n",
    "plt.xlabel('Phylogenetic distance bin')\n",
    "plt.ylabel('Hamming distance')\n",
    "plt.legend(loc='right');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig = ax.get_figure()\n",
    "fig.tight_layout()\n",
    "fig.savefig('compare.3.pdf', bbox_to_inches='tight')"
   ]
  }
 ],
 "metadata": {
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
