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@ebolyen
Created February 20, 2018 20:50
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Phylograms that explain how UniFrac works
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{
"cells": [
{
"cell_type": "code",
"execution_count": 147,
"metadata": {},
"outputs": [],
"source": [
"import ete3\n",
"t = ete3.Tree('''\n",
"(((ASV.0:0.391136,(ASV.1:0.0604399,(ASV.2:0.218863,(ASV.3:0.608424,\n",
"(ASV.4:0.893031,ASV.5:0.576031)0.436935:0.40819)0.872759:0.121658)\n",
"0.3505:0.401645)0.378976:0.9825)0.239396:0.564658,((ASV.6:0.538317,\n",
"ASV.7:0.782699)0.274592:0.000964505,(ASV.8:0.792714,ASV.9:0.175471)\n",
"0.320609:0.953467)0.704409:0.638125)0.873953:0.184378,(((ASV.10:0.974203,\n",
"ASV.11:0.166804)0.109834:0.401525,ASV.12:0.440852)0.183618:0.391446,\n",
"((ASV.13:0.41089,ASV.14:0.833553)0.747188:0.0227456,((ASV.15:0.931635,\n",
"ASV.16:0.134271)0.233419:0.559021,(ASV.17:0.514701,(ASV.18:0.157038,\n",
"ASV.19:0.104555)0.635198:0.753448)0.863219:0.496979)0.310794:0.932324)\n",
"0.19821:0.0692488)0.120856:0.217545);\n",
"''')"
]
},
{
"cell_type": "code",
"execution_count": 148,
"metadata": {},
"outputs": [],
"source": [
"def random_df():\n",
" import pandas as pd\n",
" import random\n",
" \n",
" def random_sample_data(n, depth=300, null_proportion=0.5):\n",
" def randint():\n",
" if random.random() < null_proportion:\n",
" return 0\n",
" return random.randint(1, depth)\n",
" return [randint() for _ in range(n)]\n",
" \n",
" df = pd.DataFrame({\n",
" 'Sample1': random_sample_data(20),\n",
" 'Sample2': random_sample_data(20),\n",
" }, index=['ASV.%d' % i for i in range(20)])\n",
" return df\n",
"\n",
"def split_df():\n",
" import random\n",
" df = random_df()\n",
" df['Sample1'] = [random.randint(1, 300) for _ in range(10)] + [0] * 10\n",
" df['Sample2'] = [0] * 10 + [random.randint(1, 300) for _ in range(10)]\n",
" return df\n",
"\n",
"def shared_df():\n",
" import random\n",
" df = random_df()\n",
" df['Sample1'] = [random.randint(1, 300) for _ in range(20)]\n",
" df['Sample2'] = [random.randint(1, 300) for _ in range(20)]\n",
" return df\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 206,
"metadata": {},
"outputs": [],
"source": [
"def unifrac_tree(df, tree):\n",
" from ete3 import TreeStyle, NodeStyle, TextFace\n",
" from skbio.diversity.beta import weighted_unifrac, unweighted_unifrac\n",
" import skbio\n",
" \n",
" def make_style(color):\n",
" s = NodeStyle()\n",
" s[\"size\"] = 0\n",
" s[\"vt_line_color\"] = 'black'\n",
" s[\"hz_line_color\"] = color\n",
" s[\"vt_line_width\"] = 2\n",
" s[\"hz_line_width\"] = 2\n",
" return s\n",
" \n",
" def apply_features(node, membership):\n",
" node.add_feature('membership', membership)\n",
" for ancestor in node.iter_ancestors():\n",
" m = getattr(ancestor, 'membership', None)\n",
" if m is None:\n",
" ancestor.add_feature('membership', membership)\n",
" elif ((membership == 'both') or (m == 'both') \n",
" or (m == 'a' and membership == 'b') or (m =='b' and membership == 'a')):\n",
" ancestor.membership = 'both'\n",
" \n",
" tree = tree.copy()\n",
" a_style = make_style(\"#ff0000\")\n",
" b_style = make_style(\"#0000ff\")\n",
" shared_style = make_style(\"#7f007f\")\n",
" missing_style = make_style(\"#000000\")\n",
" \n",
" for node in tree.traverse():\n",
" node.set_style(missing_style)\n",
" \n",
" for leaf in tree.iter_leaves():\n",
" a, b = df.loc[leaf.name]\n",
" fgcolor = 'black'\n",
" if a and b:\n",
" apply_features(leaf, 'both')\n",
" fgcolor = \"#7f007f\"\n",
" elif a:\n",
" apply_features(leaf, 'a')\n",
" fgcolor = 'red'\n",
" elif b:\n",
" apply_features(leaf, 'b')\n",
" fgcolor = 'blue'\n",
" else:\n",
" pass\n",
" \n",
" a_face = TextFace(str(a), ftype='Consolas', fsize=11, fgcolor='red' if a else 'black')\n",
" b_face = TextFace(str(b), ftype='Consolas', fsize=11, fgcolor='blue' if b else 'black')\n",
" for f in [a_face, b_face]:\n",
" f.margin_left = 10\n",
" label = TextFace(leaf.name, fgcolor=fgcolor, ftype='Consolas', fsize=12)\n",
" label.margin_left = 2\n",
" label.margin_right = 5\n",
" leaf.add_face(label, 0)\n",
" leaf.add_face(a_face, 1, \"aligned\")\n",
" leaf.add_face(b_face, 2, \"aligned\")\n",
" \n",
" for node in tree.search_nodes(membership='both'):\n",
" node.set_style(shared_style)\n",
" for node in tree.search_nodes(membership='a'):\n",
" node.set_style(a_style)\n",
" for node in tree.search_nodes(membership='b'):\n",
" node.set_style(b_style)\n",
"\n",
" treenode = skbio.TreeNode.read([tree.write()], format='newick')\n",
" u_uni = unweighted_unifrac(df[df.columns[0]], df[df.columns[1]], df.index, treenode)\n",
" w_uni = weighted_unifrac(df[df.columns[0]], df[df.columns[1]], df.index, treenode, normalized=True)\n",
" \n",
" ts = TreeStyle()\n",
" for col, name in enumerate(df.columns, 1):\n",
" face = TextFace(name, ftype='Consolas', fsize=10)\n",
" face.rotation = 45\n",
" face.margin_left = -25\n",
" face.margin_bottom = 30\n",
" ts.aligned_header.add_face(face, col)\n",
" \n",
" ts.margin_bottom = 10\n",
" ts.legend_position = 3\n",
" ts.legend.add_face(TextFace(\"Unweighted UniFrac = %f\" % u_uni, ftype='Consolas', fsize=13), 0)\n",
" ts.legend.add_face(TextFace(\" Weighted UniFrac = %f\" % w_uni, ftype='Consolas', fsize=13), 0)\n",
" ts.show_scale = False\n",
" ts.draw_guiding_lines = True\n",
" ts.show_leaf_name = False\n",
" ts.scale = 60\n",
" return tree.render('%%inline', tree_style=ts)"
]
},
{
"cell_type": "code",
"execution_count": 245,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 245,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"unifrac_tree(shared_df(), t)"
]
},
{
"cell_type": "code",
"execution_count": 236,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 236,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"unifrac_tree(random_df(), t)"
]
},
{
"cell_type": "code",
"execution_count": 237,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 237,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"unifrac_tree(split_df(), t)"
]
}
],
"metadata": {
"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": "3.5.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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