Vaginal-microbiome-sparse-feature.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7386fa09",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from skbio.stats.composition import clr\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from skbio.diversity.alpha import shannon\n",
    "from scipy.stats import pearsonr\n",
    "from scipy.stats import mannwhitneyu\n",
    "def rescale(xx):\n",
    "    return(xx/xx.sum(axis=1)[:, np.newaxis] )\n",
    "sns.set(rc={'axes.facecolor':'white', \n",
    "            'figure.facecolor':'white', \n",
    "            'axes.edgecolor':'black', \n",
    "            'grid.color': 'black'\n",
    "            }, \n",
    "       font_scale=2)\n",
    "\n",
    "def add_15_percent_to_top_ylim(ax):\n",
    "    ylim=ax.get_ylim() \n",
    "    ax.set_ylim( ylim[0], ylim[1] + ( ylim[1] - ylim[0] ) * .15)\n",
    "    return(None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3d490255",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('pnas.1502875112.sd01.csv', index_col=0)\n",
    "md = pd.read_csv('pnas.1502875112.sd02.txt', sep='\\t', index_col=0)\n",
    "md = md.loc[ md.BodySite=='Vaginal_Swab' ]\n",
    "md = md.loc[md.Gestational_status_at_collection=='pregnant']\n",
    "md = md.sort_values('GestationalDayOfCollection').groupby('Subject_ID').head(1)\n",
    "\n",
    "## to capture the 40th patient\n",
    "df.index=df.index.str.replace('1004601068.rs', '1004601068') \n",
    "    \n",
    "df = df.loc[df.index.isin(md.index)]\n",
    "md = md.loc[md.index.isin(df.index)].loc[df.index]\n",
    "df = df.loc[:, df.sum(axis=0)> 0]\n",
    "\n",
    "rsc_df = rescale(df.values)\n",
    "pseudocount = 10**np.floor(np.log10(rsc_df[rsc_df != 0].min()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "88d72450",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(40, 12)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "md.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4c72cb7e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count       40.000000\n",
       "mean      4284.875000\n",
       "std       2283.446284\n",
       "min        818.000000\n",
       "25%       2326.000000\n",
       "50%       4425.000000\n",
       "75%       5663.250000\n",
       "max      12199.000000\n",
       "dtype: float64"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.sum(axis=1).describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f9e1b2fe",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(40, 222)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6b21734f",
   "metadata": {},
   "outputs": [],
   "source": [
    "taxa = pd.read_csv('../holmes-taxonomy-features.csv', index_col=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "19486e0b",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "val=-2\n",
    "(df.iloc[:, val] > 0 ).sum() ## this is a feature present in one sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8b19a135",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Kingdom             Bacteria\n",
       "Phylum          P:Firmicutes\n",
       "Class           C:Clostridia\n",
       "Order        O:Clostridiales\n",
       "Family     F:Lachnospiraceae\n",
       "Genus                Blautia\n",
       "Species              Blautia\n",
       "Name: 4465907, dtype: object"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "taxa.loc[int(df.iloc[:, val].name)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b53bd528",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False    29\n",
       "True     11\n",
       "Name: PretermBirth, dtype: int64"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "md.PretermBirth.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "faeb858b",
   "metadata": {},
   "outputs": [],
   "source": [
    "sh_alphas = [shannon(x) for x in df.values]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d8f85025",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4465907"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "int(df.iloc[:, val].name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "771957c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Kingdom             Bacteria\n",
       "Phylum          P:Firmicutes\n",
       "Class           C:Clostridia\n",
       "Order        O:Clostridiales\n",
       "Family     F:Lachnospiraceae\n",
       "Genus                Blautia\n",
       "Species              Blautia\n",
       "Name: 4465907, dtype: object"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "taxa = pd.read_csv('../holmes-taxonomy-features.csv', index_col=0)\n",
    "taxa.loc[int(df.iloc[:, val].name)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "513c2c67",
   "metadata": {},
   "outputs": [],
   "source": [
    "pr = pearsonr(md.PretermBirth, sh_alphas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "8c0a3c3d",
   "metadata": {},
   "outputs": [],
   "source": [
    "mw = mannwhitneyu( np.array(sh_alphas)[md.PretermBirth], \n",
    "                   np.array(sh_alphas)[md.PretermBirth==False]\n",
    "                 )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "e2cbca63",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 259.2x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12 * .3,7))\n",
    "sns.boxplot(x = md.PretermBirth, \n",
    "            y=sh_alphas, \n",
    "            fliersize=0\n",
    "           )\n",
    "\n",
    "\n",
    "ax=sns.swarmplot(x = md.PretermBirth, \n",
    "              y=sh_alphas, \n",
    "              size=5, \n",
    "              color='black'\n",
    "              )\n",
    "add_15_percent_to_top_ylim(ax)\n",
    "plt.ylabel('Shannon diversity')\n",
    "plt.xlabel('Preterm Birth')\n",
    "plt.title('Alpha diversity is associated with preterm birth\\n'+\\\n",
    "#           'Pearson R = {:.2f}, p = {:.1e}, '.format(*pr)+\\\n",
    "          'Mann Whitney U p = {:.1e}'.format(mw.pvalue)\n",
    "          )\n",
    "\n",
    "plt.savefig('plots/Fig-2-vaginal-shannons.pdf', \n",
    "            dpi=900, \n",
    "            bbox_inches='tight', \n",
    "            format='pdf'\n",
    "            )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "029d6a96",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 259.2x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12 * .3,7))\n",
    "sns.boxplot(x = md.PretermBirth, \n",
    "            y=sh_alphas, \n",
    "            fliersize=0\n",
    "           )\n",
    "\n",
    "\n",
    "ax=sns.swarmplot(x = md.PretermBirth, \n",
    "              y=sh_alphas, \n",
    "              size=5, \n",
    "              color='black'\n",
    "              )\n",
    "add_15_percent_to_top_ylim(ax)\n",
    "plt.ylabel('Shannon diversity')\n",
    "plt.xlabel('Preterm Birth')\n",
    "plt.title('Alpha diversity is associated with preterm birth\\n'+\\\n",
    "#           'Pearson R = {:.2f}, p = {:.1e}, '.format(*pr)+\\\n",
    "          'Mann Whitney U p = {:.1e}'.format(mw.pvalue)\n",
    "          )\n",
    "ax.set(\n",
    "       yticklabels=[], \n",
    "       xticklabels=[])\n",
    "plt.xlabel(None)\n",
    "plt.ylabel(None)\n",
    "plt.title(None)\n",
    "plt.savefig('plots/Fig-2-vaginal-shannons-no-axes.pdf', \n",
    "            dpi=900, \n",
    "            bbox_inches='tight', \n",
    "            format='pdf'\n",
    "            )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c3a29713",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/george/opt/anaconda3/envs/pl2/lib/python3.6/site-packages/seaborn/categorical.py:1296: UserWarning: 44.8% of the points cannot be placed; you may want to decrease the size of the markers or use stripplot.\n",
      "  warnings.warn(msg, UserWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 259.2x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12 * .3,7))\n",
    "sns.boxplot(x = md.PretermBirth, \n",
    "            y=rescale(df.values)[:, val], \n",
    "            fliersize=0\n",
    "           )\n",
    "\n",
    "\n",
    "ax=sns.swarmplot(x = md.PretermBirth, \n",
    "              y=rescale(df.values)[:, val], \n",
    "              size=5, \n",
    "              color='black'\n",
    "              )\n",
    "add_15_percent_to_top_ylim(ax)\n",
    "plt.ylabel(\"Blautia's relative abundance\")\n",
    "plt.xlabel('Preterm Birth')\n",
    "\n",
    "\n",
    "plt.savefig('plots/Fig-2-Blautia-RA.pdf', \n",
    "            dpi=900, \n",
    "            bbox_inches='tight', \n",
    "            format='pdf'\n",
    "            )\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "89f6bb9d",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/george/opt/anaconda3/envs/pl2/lib/python3.6/site-packages/seaborn/categorical.py:1296: UserWarning: 44.8% of the points cannot be placed; you may want to decrease the size of the markers or use stripplot.\n",
      "  warnings.warn(msg, UserWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 259.2x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12 * .3,7))\n",
    "sns.boxplot(x = md.PretermBirth, \n",
    "            y=rescale(df.values)[:, val], \n",
    "            fliersize=0\n",
    "           )\n",
    "\n",
    "\n",
    "ax=sns.swarmplot(x = md.PretermBirth, \n",
    "              y=rescale(df.values)[:, val], \n",
    "              size=5, \n",
    "              color='black'\n",
    "              )\n",
    "add_15_percent_to_top_ylim(ax)\n",
    "plt.ylabel(\"Blautia's relative abundance\")\n",
    "plt.xlabel('Preterm Birth')\n",
    "\n",
    "ax.set(\n",
    "       yticklabels=[], \n",
    "       xticklabels=[])\n",
    "plt.xlabel(None)\n",
    "plt.ylabel(None)\n",
    "plt.title(None)\n",
    "plt.savefig('plots/Fig-2-Blautia-RA-no-axes.pdf', \n",
    "            dpi=900, \n",
    "            bbox_inches='tight', \n",
    "            format='pdf'\n",
    "            )\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "7d21183a",
   "metadata": {},
   "outputs": [],
   "source": [
    "X_clr = clr(rescale(df.values) + pseudocount)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "e776138e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.18150397270671612, 0.262342321146711)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pearsonr(md.PretermBirth, X_clr[:, -1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "2f9b9409",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "MannwhitneyuResult(statistic=79.0, pvalue=0.007691745083457951)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mannwhitneyu(np.array(X_clr[:, val])[md.PretermBirth], \n",
    "             np.array(X_clr[:, val])[md.PretermBirth==False]\n",
    "             )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "2e543d8a",
   "metadata": {},
   "outputs": [],
   "source": [
    "pr = pearsonr(md.PretermBirth, X_clr[:, val])\n",
    "mw = mannwhitneyu( np.array(X_clr[:, val])[md.PretermBirth], \n",
    "                   np.array(X_clr[:, val])[md.PretermBirth==False],\n",
    "            )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "02cc63d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 259.2x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12 * .3,7))\n",
    "sns.boxplot(x = md.PretermBirth, \n",
    "            y=X_clr[:, val], \n",
    "            fliersize=0\n",
    "           )\n",
    "\n",
    "\n",
    "ax=sns.swarmplot(x = md.PretermBirth, \n",
    "              y=X_clr[:, val], \n",
    "              size=5, \n",
    "              color='black'\n",
    "              )\n",
    "add_15_percent_to_top_ylim(ax)\n",
    "plt.ylabel(\"Sparse feature's centered log ratio \")\n",
    "plt.xlabel('Preterm Birth')\n",
    "plt.title('CLR transform of a sparse feature\\nis associated with preterm birth\\n'+\\\n",
    "#           'Pearson R = {:.2f}, p = {:.1e}, '.format(*pr)+\\\n",
    "          'Mann Whitney U p = {:.1e}'.format(mw.pvalue)\n",
    "          )\n",
    "\n",
    "plt.savefig('plots/Fig-2-vaginal-clr.pdf', \n",
    "            dpi=900, \n",
    "            bbox_inches='tight', \n",
    "            format='pdf'\n",
    "            )\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "07d9b25f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 259.2x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12 * .3,7))\n",
    "sns.boxplot(x = md.PretermBirth, \n",
    "            y=X_clr[:, val], \n",
    "            fliersize=0\n",
    "           )\n",
    "\n",
    "\n",
    "ax=sns.swarmplot(x = md.PretermBirth, \n",
    "              y=X_clr[:, val], \n",
    "              size=5, \n",
    "              color='black'\n",
    "              )\n",
    "add_15_percent_to_top_ylim(ax)\n",
    "plt.ylabel(\"Sparse feature's centered log ratio \")\n",
    "plt.xlabel('Preterm Birth')\n",
    "plt.title('CLR transform of a sparse feature\\nis associated with preterm birth\\n'+\\\n",
    "#           'Pearson R = {:.2f}, p = {:.1e}, '.format(*pr)+\\\n",
    "          'Mann Whitney U p = {:.1e}'.format(mw.pvalue)\n",
    "          )\n",
    "ax.set(\n",
    "       yticklabels=[], \n",
    "       xticklabels=[])\n",
    "plt.xlabel(None)\n",
    "plt.ylabel(None)\n",
    "plt.title(None)\n",
    "plt.savefig('plots/Fig-2-vaginal-clr-no-axes.pdf', \n",
    "            dpi=900, \n",
    "            bbox_inches='tight', \n",
    "            format='pdf'\n",
    "            )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "0c5600b5",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "8576776d",
   "metadata": {},
   "outputs": [],
   "source": [
    "pr = pearsonr(sh_alphas, X_clr[:, val])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "93bc2960",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,8))\n",
    "ax=sns.scatterplot(x = sh_alphas, \n",
    "                y=X_clr[:, val], \n",
    "                color='black',\n",
    "#                 fliersize=0\n",
    "               )\n",
    "\n",
    "\n",
    "lr = LinearRegression()\n",
    "sns.lineplot(x = sh_alphas, \n",
    "             y=lr.fit(np.array(sh_alphas)[:, np.newaxis], \n",
    "                                    X_clr[:, val])\\\n",
    "                         .predict(np.array(sh_alphas)[:, np.newaxis]), \n",
    "             color='red',\n",
    "             linewidth=5, \n",
    "             ax=ax\n",
    "               )\n",
    "plt.title('Alpha diversity is associated with the compositional\\ntransformation of a sparse feature\\n'+\\\n",
    "          'Pearson R = {:.2f}, p = {:.1e}, '.format(*pr)\n",
    "         )\n",
    "plt.xlabel('Shannon diversity')\n",
    "    \n",
    "plt.ylabel(\"Sparse feature's centered log ratio\")\n",
    "\n",
    "plt.savefig('plots/Fig-2-vaginal-shannon-clr-scatter.pdf', \n",
    "            dpi=900, \n",
    "            bbox_inches='tight', \n",
    "            format='pdf'\n",
    "            )\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "25e1b9b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bv7/jSB98YDYMlZWZ1nsd8ZvfNK177rtvp9Y9N5VOt1ESjVq7i3q7K53qnZSdfhynqSPNnDlz4taRZksdc2bOnOlIcrKzs50pU6Z0qJvOFn31lePcfrvjHH644/j9Heo2tG7XXZ1Vp5/u1M+Z4zh1dZ362Vv5z4sYo9buot7uSqd6J2WnH6lpre2II46I21rblh7kX7BggQKBgIqLixv71zZ8rlMP+ffpI40bZ27ZrlhhzuU86SSpWzfrIQLffqsdHnlE/sJCObvsIp1+uvT00+boMgBAwnh+N8iWHuSfPn267r//fmVkZMTvIf8dd2za5FNba5rDn322OafTkm/VKmnGDKmoyByOffzx0kMPmUOzAQCu8nxgbqljzqpVqzRw4EAdf/zxsW3J15KsLHMSygMPSN9+K82bJ02YIO2zj/0Y69dLzz5rQjcYlA45RLr5ZqmiIrZzBQBskecDs6U2dX379lX//v073cKu3fx+aeBAaepU6YsvpC+/1IorrtBbfr/qbcdwnOahu/fe0vjx0ttvm4OzAQAxl7Bdsm5qrWNOMhz03LBj+LKxYzVk/XoV+f0anpmpTNvDsTfVs6e5dTtqlAIjRyqSJjvbEi2ddhEmA+rtrnSqd1J2+kFzvwju7Gz5X3vNPLIye7a0cmW7x1wrqdsJJ5jHVY47zqyDIi743XYX9XZXOtWbwEx19fXSO+809bn98sv2j+H3S4ce2vS85557xn6eaYzfbXdRb3elU72TsjUe2iEjw4TdLbdIlZXSwoXSTTeZtVDbJgfRqPTGG9Lll0uhkNSvnzRxovTuu+ZzVkO00U4QADyMwExFDZt85s0zu24feMDccu3a1X6ML74wG48GDjTnhZ5zjvT882Y37hY0rLMWFBSosLBQBQUFKi0tJTQBpA1uyXrJ2rXSyy+b27bPPiutWtX+MbbZRjrmGHPbdsQIaYcdJEmVlZUqKChIzpNlkgC/2+6i3u5Kp3pzSzZddOsmnXii9Mgj0rJlOlwynYf69LEfY80a6amnpOJis+O2sFC6806t/vDD+DV5AIAUkLDTShBnmZl6XZJuv1267TZpwYKmTUPvv283Rn29afNXXq6Bkj7x+VTmOHpG0ofqWJOHZHiMBwA6gr9U6cDnk/bbT5o0SXrvPXMk2X33Sccea44as/Qrx9E1kj6QtMTn06eHHaZQdbVk+bwo66AAUllarGF69aqmrZ/Lqt4//SS9+KK58nzuOen779s/kW23lYYNM+uew4dL2223xS/z8jpoOq3xJAPq7a50qndar2F69aomZj9X9+7SySebg61XrJBefVW6+GKpd2/7MX78UZo50xywvdNO0lFHSffcIy1Z0uzLttQIP9HroKnwqEwqzBFICx05E6yjWnm7uKmoqGg877LhFQgEnIqKCtfnEks2P1en6h2NOs7HHzvOddc5zgEHdOhsT0cy33vddY7z8cdOxcKFCflv0dK5q1s6K7Wj56HG63c7lnOMJzfOtt1UIv6WpLN0qndr2ef5wJwzZ06zP9ANrzlz5rg+l1iy+bliWu+vv3ace+5xnKOOcpzMzA6FZ7R3b+fLYcOcY7t0cTJd+uPfWuDE8h9T8frdToV/8CUi1NPpD3gySKd6J+0B0m7Y0vFecTnCy2Wu/1y77y5dcIF5zrO2Vnr8cWnMGLN+acm3eLFCL7ygF37+Weu22UbLhg5VUX29/HE8HHtLB4g3HBKejLeIN5cKc2ytxoCXeD4wWzreK65HeLkgoT/XdtuZsHz8cdMU/uWX5Zx3ntbtuKP1EFutWaNtZ8+Wf8wYs+45bJj0t7+ZHbwx1FrgpMI/plJhjqkQ6kBMdOSytKNaebu4cnt9xS1t/Vxu1ruiosIJZGU5B0jOdZLzcUfXPCXHOfBAx7nxRsf57DOzltrZebVwS5M1zNhIxG3jRP0tSVfpVO+0XsNMZ27We0trqjmS8+UFFzhOYaHjZGR0LDz79HGcceMcp7zccTZubPe82gqcWP1jKp61jtUc4/UPR9YwvS+d6t1a9qXFc5jpys16t/mM5XffmebuZWXmuc81a9r/JjvsYJrMjxolHX206XtrwY3ncJP9d7vhMaSGtcaGW/hFRUUxqYXbzzone729Jp3qzXmYacrNerfrD/L69dKcOSY8Z82SOrLW1bWrNHSoCc/jj5d69YrND9JByf677bWmEcleb69Jp3q3ln30kkVM+P1+FRUVKT8/v+2rjKwss8ln2DDp3nul+fOb+twuWGD3hhs2mM5Ezz1nWv8ddFDT4dh7721/TmiaaG1jTioGJpAInt8lC/f4/X7l5eXpiCOOUF5ent0tOb9f+s1vpMmTpc8/lxYtMs3iDzvMfM6G40jvvCNddZW0775SXp50xRXSm2+aBvJIid22QLIjMFOc59qm9e0rXXaZNHeutHy5OarsxBOlrbe2H6OqSrr1VmnwYCkYlM4801y9rlsXt2knO68+XgW4iTXMFNbWuqGn6h2JSK+8YoJv9mzT97a9AgHT57Zh3XPnnWM2vVSotZcOIUiFentJOtWbTT8J4MYfp7Y2cni23vX10rvvNq17Vla2fwyfTzrkEOmEE0yAdvJKy7O1TlLU213pVO+0Pq0kEdw6ISVtO6xkZJiwu/lmqaLCvG6+2XzMdrOP40hvvWXWOvfay6x9TpggzZsnpfptbQBxQWDGgVu9Nb20kaNTa7F5edKVV5oADIelhx4yt1yzsuzHWLiwKXR33VX605/MDtz169v/wwDwJAIzDty68vPKRo6YXpHvsov0xz+a5ztra6Wnn5ZOP930q7W1fLn04IOmScJOO0knnSSVlEirVrV/PgA8gzXMOHDzIfHW1kpTpd6u1Ku+Xnr77aZ1z0WL2j9GRoY0aFDT8559+jR+KlVq7RXU213pVG/WMF3m5pVfh559TDKuXJFnZJjHTG69VfryS9MgYcoU0/DAVn29edzlssvM4y/5+dLVV0vvvy/aJADeR6efOGhX1xs0rsVufoUZt7VYn89s8tl3X9PsIBw2j6qUlUmvvmq6CNn4/HPzmjxZSyTpvPPMlWdhoWndB8BT+AseJ1648nNLwtdig8GmTT61tdKTT0pjx0o9elgPsZtkzvMcNsw83zl6tPTYY9Lq1XGbNgB3sYbpYalU76R8qL6uzrTXa1j3rK5u/xiZmabNX8O6Z+/esZ9nkovHf9tU+t32gnSqN40LkoibwUC9Y8hxzO3XhvCcP79j4/z61yY4TzhB2n9/zzeJj9exYvxuuyud6k1gJol4n0m4uXSvd1wtXWoeXSkrM0eVbdzY/jH22EMaOdIE6OGHS1ttFft5Jli8dkDzu+2udKo3u2SThFsNDeCC7Gzp/POll16SVq7U7yTplFOk7bazH+Prr6V77jH9bXfeWTr1VGnmTOnHH+M1a9elbTcqeBKB6SL+eHjUdtvpX5L0z3+apvD//rd04YXS7rvbj/HDD9Ljj0tjxphmCcccY84KXbo0XrN2hZe6UQEEpov445EGunSRhg6V7r5bWrxY+vBD6dprzXqlrY0bpZdfli64wITugAHSDTdIn35q1lJTSMJ3QAMxxBqmi1jD9C6rWi9e3LTuOXeu2YXbXjk5TTtuBw82u3CTHLtkU1861btTm34QW9nZ2SouLm78BSwpKdHSFL/thvbbXtIwSaP++3+37cAY30l6VlKZpJckrY3V5ACwSzbdUG/3dKrWGzZI5eXmynPWLOmbb9o/Rteu0pFHNh2O7fHb/Pxuuyud6s0uWSCZde3atMlnyRLp/felSZOk/fazH2PDBun556VzzjHHkw0cKE2dKn3xRcqtewLJisAEkonPZzb53Hij9Nln0ldfSbffbp7TbM+637vvShMnSv36mQOyL79ceuMN00AeQIcQmEAy69NHGjfO3LJdsUKaMUMqKpK6dbMfY9Ei6bbbTIu+Xr2kM86QnnlGWsuqJ9AeBCaQKnbcUSoulp56yjSJf/ZZ6eyzzaHZtmprpUcekU480TzvOXKk9Pe/mzAG0CoCM8VFo1FVVlaqvLxclZWVikajiZ4S3JCVJY0YIT3wgPTtt9K8edKECdI++9iPsX69OdbsrLPMleehh0q33CJVVsZv3kAKIzBTWMNznQUFBSosLFRBQYFKS0sJzXTj9zff5PPll9K0adKgQfbN3R1Hevttafx4ae+9zWv8ePMxfp8ASTxWktLaamxNvd2TtLVeudLcui0rM92DNmvNaKVnT/OoyqhRpovRZt2qEiFp6+1R6VRvHivxKHrTok0779y0yae21gTnmWeaj9tascKsc44cadY9TzzRrIPW1sZr1kBSIjBTGL1p0S5bb920ySccNodjX3GFeezE1rp1JnzPOMNsNjrsMLMDd9GiuE0bSBYEZgqjsTU6LCOj+SafhQulm24ya6G2657RqHm28/LLpVDIPPM5caL03nuse8KTWMNMca01tqbe7vFUrZctM7tnZ80yR5Vt2ND+MYLBpsOxhwwx3YxiyFP1TgHpVO9ONV8nMFMX9XaPZ2u9dq3ZLPTMM2bz0HfftX+MbbaRjj3WhOeIEVKPHp2elmfrnaTSqd5s+gHQMd26mU0+M2ZIy5ebjkPjxpkORLbWrJGefFIaO9ZsNhoyRLrrLqmmJl6zBuKCwARgJzPT9LS9/Xazyeezz0zP2wMPtB+jvl6aM0e69FIpN9ccrH3tteag7TS5gkHqIjABtJ/PZ05TmTTJbPJZulS67z5z67VLF/txPvlEuv56qX9/qXdv6cILzbrpzz/Hb+5ABxGYADpvt92kc8+VXnjBNEuYOVM69VRp++3tx1iyRPrrX6Wjjza3bk85Rfq//5N++CFu0wbag8AEEFvbbiuNHi099phpevDKK9JFF0l77GE/xo8/mrA85RQTnkcfbcJ0yZL4zRtoA4EJIH622ko68kjpf//XbPL56CPpf/5HKiiwH2PjRnOb9sILTej2769rJHM7l3VPuIjABOAOn6/5Jp/Fi6W77zb9aTMz7cf58ENdL5mx+vSRLrlEeu01E6xAHBGYABJjjz2aNvmsXCn985/S734nde9uP0ZNjbl6PfJI06rvtNOkJ56QfvopbtNG+iIwASTe9ts3bfKprZVeekk6/3yzmcjW6tVm3XT0aNMkftgw6f77zXmhQAwQmACSS5cuzTf5vP++dPXVUn6+/Rg//yy9+KLZubvbbtJBB0mTJ0uff866JzqMwAQ8LhqNqrKyUuXl5aqsrEytA8Z9PmnAAOmGG6RPP5X+8x/pjjs0RzIN5G29915T6IZC0p//LL3+ulRXF6+Zw4MITMDDotGoSktLVVBQoMLCQhUUFKi0tDS1QnNTubnSpZdqiGQeWSkpkU46ybTws/XVV6Zb0eGHS716SaefLj39tOmbC7SC5useRr3dk6y1rqysVEFBQbODxgOBgD766CPl5eUlcGad84t6r19vdsqWlZlTVpYta/+gWVlmx+6oUdLxx5tNRJCUvL/f8UDzdSBNhcPhZmEpSZFIROFwOEEzipOsLGn4cLPJ55tvpHfeka66Stp3X/sx1q83J7KcfbY5nuyQQ6Sbb5YqKuI3b6QUAhPwsGAw2HjAeINAIKBgMJigGbnA7zebfKZMkRYskKqqpFtvlQYPNp+z4TjSvHnShAnSPvtIeXnSlVdKb71lGsgjLRGYgIeFQiGVlJQ0hmYgEFBJSYlCoVCCZ+aiPfds2uSzbJn08MPSCSdIm/1DolVffilNmyYNGmSuPv/4R3Prd7Ord3gba5geRr3dk8y1jkajqqqqUjgcVjAYVCgUkt/2SitJxaTekYjpc1tWJs2ebTYRtVcgYB6BGTVKOu440/fWg5L59zvWWss+AtPDqLd7qLW7Yl7v+nrp3XdNeJaVSZWV7R/D7zfrnqNGmZeHruLT6febTT8A0JqMjOabfBYulG66STr4YPMsqI1oVHrzTemKK6S99pL69ZMmTjRBnKqP8aAZAhMANrf33tL48dLbb0vhsPTgg+aWa1aW/RhffCFNnSoNHChlZ0vnnCM9/7zZjYuURGACQGt22UU66yyzzllbK5WWSn/4g7TjjvZjhMPSAw9II0aYPre//a306KPSd9/FZcop3d0piRGYAGCrWzfpxBOlRx4xO27nzpUuu0zq29d+jLVrpaeekoqLpZ49pcJC6c47perqmEzRc92dkgibfjyMeruHWrsr6ertOOYWbMOmoffe69g4+flNm4b697dfP91EPLo7JV2944hNPwAQTz5f800+33wj/e1v5oixLl3sx/nsM+nGG6UDD5R2390ccfbSS+b0FUtp090pAQhMAIi1XXdt2uRTW2sOtT7tNKlHD/sxvvlGuu8+6dhjzbrn735nDtn+/vtWvy0tuzu5hMAEgHjq3r1pk8/y5aZJ/CWXSO1Z6vrpJ+lf/5J+/3vTHGHoUOnuu6Wvv/7Fl9LdKX5Yw/Qw6u0eau0uT9Tbccwt2IZ1zw8+6Ng4++/ftO65//6Szxfz7k6eqLclOv2kKertHmrtLk/We8kS05+2rEwqL5c2bmz/GHvs0RSehx0mbbVVTKbmyXq3gE0/AJDsdt9duuAC6eWXpZUrpccfl8aMkbbd1n6Mr782t2qHDjWPrPz+99LMmdKPP8Zv3mmEwASAZLPddiYsH3/chOfLL5sw3X13+zG+/95sEhozxmwaOuYY6d57paVL4zZtryMwASCZdekiHXWUdM890uLFZq3zL3+Rfv1r+zE2bmweugMGSDfcIH36qVlLhRUCEwBShc8nHXCAdN110scfm+5Ad90lDRliGsjb2jR0+/aVLr1UmjNHqquL18w9gcAEgFSVkyNdfLH06qvm1u0//iGdfLK0zTb2Y2wauj17mpZ9Tz0lrVkTt2mnKgITALygRw+zyedf/zLNEl54QTr3XNNEwdbq1eZ50d/+1qx7jhghPfCAesVv1imFwAQAr+na1XQIuu8+87jKe+9JkyZJ++1nP8aGDaZT0TnnKCyZY8qmTjU9c9N03ZPABAAv8/tNb9obbzSNEr76Srr9dunww83nbL37rumV26+fOSD78sulN96Q6uvjN/ckQ2ACQDrp00caN840R1ixQpoxQyoqMkeX2Vq0SLrtNtMcoVcv6YwzpGeekdati9eskwKBCQDpascdmzb51NZKzz4rnX22OTTbVm2tOR/0xBPNeCNHSn//uwljjyEwAQBSVlbjJh99+600b540YYK0zz72Y6xfL82eLZ11lrnyPPRQ6ZZbpMrK+M3bRQQmAKA5v7/ZJp+QJE2bJg0aZH+oteNIb78tjR8v7b23eY0fbz4WjcZz9nFDYAIAWrVIatrks2yZueU6cqS02bmbraqsNFebhx4qBYPmKnT2bGmzw66TGYEJALDXs6d05pnmVJXaWrPZ54wzzDmdtlasaArdnXYy658zZpjxkhiBCQDomK23NkeJTZ8uhcPmCvTyy6X2HFa9bp0J3dNPN5uNDj/cPPby1VfxmnWHEZgAgM7LyDBrnNOmmduvX3xh1kAHDrRf94xGpddfl/78Z2nPPU2jhUmTTOOFJFj3JDABALHl85ndtRMmmN22335rdt+OGGG6ENlasECaMkU66CApO9u0+nvhBdOFKAEITABAfPXqZZ7vfPZZs0751FPm+c8ddrAfIxyW7r9fGj7crHuefLJpNr96dfzmvRkCEwDgnm22MZ2FZsyQli83HYfGjTMdiGytWSM9+aQ0dqzZbHTuudLatXGbcgMCEwCQGJmZTZt8Fi0yvW5vvNH0vrVVX2+uPG+5JX7z/C8CEwCQeD5f800+S5ea01aOPVbq0qXt7583L+5TJDABwIOi0agqKytVXl6uyspKRZNgl2m77LZb0yaflSulmTOlU0+Vtt9+y18/YEDcp0RgAoDHRKNRlZaWqqCgQIWFhSooKFBpaWnqhWaDbbeVRo+WHnvMND145RXp4ovN8549ephGCpMmxX8eTguqq6sdSbx48eLFK8VeEydOdAKBQLOPBQIBZ+LEiQmfW6q8qqurf5GLmWpDdXW1cnJy2voyKz6fT06antSdCNTbPdTaXdS7deXl5ZoyZUqzj0UiER111FGaPHlyu8dLp3rX1NQoNzd3i5/jliwAeEwwGFRgs8bogUBAwWAwQTPyBgITADwmFAqppKSkMTQDgYBKSkoUak+PV/xCm7dkAQCpxe/3q6ioSPn5+QqHwwoGgwqFQvL7uUbqDAITADzI7/crLy9PeXl5iZ6KZxCYAOBx0WhUVVVVXG12EhUDAA/z3DOZCURgAoCHVVVVqbi4WJFIRJJ5vKS4uFhVVVUJnlnqITABwMPC4XBjWDaIRCIKh8MJmlHqIjABwMN4JjN2CEwA8DCeyYwddskCgIfxTGbsEJgA4HE8kxkb/BMDAAALBCYAABYITAAALBCYAABYIDABALBAYAIAYIHABADAAoEJAIAFAhMAAAsEJgAAFghMAAAsEJgAAFggMAEAsEBgAgBggcAEAMACgQkAgAUCEwAACwQmAAAWCEwAACwQmAAAWCAwAQCwQGACAGCBwAQAwAKBCQCABQITAAALBCYAABYITAAALBCYAABYIDABALBAYAIAYIHABADAAoEJAICFzERPAACA9opGo6qqqlI4HFYwGFQoFJLfH99rQK4wAQApJRqNqrS0VAUFBSosLFRBQYFKS0sVjUbj+r4EJgAgpVRVVam4uFiRSESSFIlEVFxcrKqqqri+L4EJAEgp4XC4MSwbRCIRhcPhuL4vgQkASCnBYFCBQKDZxwKBgILBYFzfl8AEAKSUUCikkpKSxtAMBAIqKSlRKBSK6/uySxYAkFL8fr+KioqUn5/v6i5ZAhMAkHL8fr/y8vKUl5fn3nu69k4AAKQwAhMAAAsEJgAAFghMAAAsEJgAAFggMAEAsEBgAgBggcAEAMACgQkAgAUCEwAACwQmAAAW2uwlm5ubG9M39Pl8MR0PraPe7qHW7qLe7qLeFoFZXV2tnJycmLyZz+eT4zgxGQtto97uodbuot7uSqd619TUtHihyC1ZAAAstHiFWVdXJ0launRpTN+wpqYmpuOhddTbPdTaXdTbXelS74bMa8jATfmcFq6z33zzTQ0ePDi+MwMAIAm98cYbGjRoULOPtRiY69ev1/z589WrVy9lZnLONADA++rq6rRs2TINGDBAWVlZzT7XYmACAIAmbPoBAMACgQkAgAUCEwAACwQmAAAW/h8PN7dWlIEbZAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,8))\n",
    "ax=sns.scatterplot(x = sh_alphas, \n",
    "                y=X_clr[:, val], \n",
    "                color='black',\n",
    "#                 fliersize=0\n",
    "               )\n",
    "\n",
    "\n",
    "lr = LinearRegression()\n",
    "sns.lineplot(x = sh_alphas, \n",
    "             y=lr.fit(np.array(sh_alphas)[:, np.newaxis], \n",
    "                                    X_clr[:, val])\\\n",
    "                         .predict(np.array(sh_alphas)[:, np.newaxis]), \n",
    "             color='red',\n",
    "             linewidth=5, \n",
    "             ax=ax\n",
    "               )\n",
    "plt.title('Alpha diversity is associated with the compositional\\ntransformation of a sparse feature\\n'+\\\n",
    "          'Pearson R = {:.2f}, p = {:.1e}, '.format(*pr)\n",
    "         )\n",
    "plt.xlabel('Shannon diversity')\n",
    "    \n",
    "plt.ylabel(\"Sparse feature's centered log ratio\")\n",
    "\n",
    "ax.set(\n",
    "       yticklabels=[], \n",
    "       xticklabels=[])\n",
    "plt.xlabel(None)\n",
    "plt.ylabel(None)\n",
    "plt.title(None)\n",
    "plt.savefig('plots/Fig-2-vaginal-shannon-clr-scatter-no-axes.pdf', \n",
    "            dpi=900, \n",
    "            bbox_inches='tight', \n",
    "            format='pdf'\n",
    "            )\n",
    "plt.show()\n",
    "\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "pl2",
   "language": "python",
   "name": "pl2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.15"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}