{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Simulate the Sequences\n", "This notebooks reads a phylogenetic tree and simulates sequences down the tree." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "**Rule 2: Document the Process, Not Just the Results.** Here we describe the steps how to produce the dataset.\n", "\n", "**Rule 4: Modularize Code.** To keep the code clean, we have written helper functions in a separate Python script, [helper.py](./helper.py).\n", "\n", "**Rule 7: Build a Pipeline.** This notebook describes the entire workflow, and its modularity makes it easy to change models or model parameters.\n", "\n", "**Rule 8: Share and Explain Your Data.** To enable reproducibility we provide a `/intermediate_data` directory with files produced by the workflow.\n", "\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define Sequence Simulation Parameters\n", "The Jukes-Cantor (JC69) model [(Jukes & Cantor, 1969)](http://dx.doi.org/10.1016/B978-1-4832-3211-9.50009-7) does not have any parameters, as it assumes fully neutral sequence evolution. We will need to simulate a root sequence, so we will specify that we want a sequence of length *k* = 300 (similar to the length of *Alu* sequences).\n", "\n", "We will also include import statements here to keep the notebook clean and organized." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "INPUT_TREE_FILE = \"./intermediate_data/dualbirth.tre\"\n", "OUTPUT_SEQUENCE_FORMAT = 'fasta'\n", "OUTPUT_SEQUENCE_FILE = \"./intermediate_data/sequences.fas\"\n", "K = 300" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from warnings import simplefilter\n", "simplefilter(action='ignore', category=FutureWarning) # suppress SciPy warning\n", "import matplotlib.pyplot as plt\n", "from pyvolve import Evolver,Model,Partition\n", "from pyvolve.newick import read_tree\n", "from random import choice\n", "from seaborn import distplot,regplot\n", "from treeswift import read_tree_newick" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulate the Root Sequence\n", "We will be evolving a root sequence down the previously simulated phylogenetic tree, but we first need to create our root sequence. For the purposes of this notebook, we will simply randomly generate a sequence of length *k* = 300 with equal probabilities of each nucleotide." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "root_sequence = ''.join(choice('ACGT') for _ in range(K))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulate the Sequences\n", "We will now run [Pyvolve](https://github.com/sjspielman/pyvolve) to simulate the sequences. To do so, we need to perform the following steps:\n", "\n", "* Use Pyvolve to read the input tree\n", "* Create a `Model` object, which specifies the parameters of our model (JC69)\n", " * In Pyvolve, specifying a nucleotide model without any additional state frequency or transition rate information will default to the JC69 model\n", "* Create a `Partition` object, which specifies the details of the evolutionary unit (the model and the root sequence)\n", "* Create an `Evolver` object, which specifies the full details of the actual evolutionary process (the tree and the partitions)\n", "* Evolve the root sequence down the input tree" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "tree = read_tree(file='./intermediate_data/dualbirth.tre')\n", "model = Model('nucleotide')\n", "partition = Partition(models=model, root_sequence=root_sequence)\n", "evolve = Evolver(tree=tree, partitions=partition)\n", "evolve(seqfile=OUTPUT_SEQUENCE_FILE, seqfmt=OUTPUT_SEQUENCE_FORMAT, ratefile=None, infofile=None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## (Re)Load the Datasets\n", "Pyvolve automatically writes the sequences to file, so we will need to load them to be able to analyze them. Also, Pyvolve loads the simulated tree in its own format, but because we will want to use more advanced features than Pyvolve's tree class allows, we will reload the tree using [TreeSwift](https://github.com/niemasd/TreeSwift). Note that, to reduce clutter in our notebook, we have written our code to parse a FASTA file in a separate Python script containing helper functions, [helper.py](./helper.py)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from helper import read_FASTA\n", "sequences = read_FASTA(OUTPUT_SEQUENCE_FILE)\n", "tree = read_tree_newick(INPUT_TREE_FILE)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can explore the simulated sequences by printing a couple of them." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ">0\n", "CGTGCCATTTTTATTTTGGTCGCCTGTCTCCCGAGCAGAAATTAAGGACCGCATATACGATTATTAGACGCAGAATAGGAGCTCAGCTCAATTGAGGCCGCAACTTTTCGGCATTTGACAGACAGCCCTCTCACGCAAGAAAACGCTCATGGGAGCGTTTCATCCGGCCCCGAAGTTGTGGTTACTAGTCGGTCGCTTGTCCGGGCCGTTGAAGCTTCGACCCGAGTGAAGTTCCGTAGGATGCAAACTTTCCGTACTCCGGCTCCGTGGTTTATGCGACAAAGAAAAGGACTGCGTTAA\n", ">1\n", "CATGCCATTTTCTTATGCGCCGCCTATCTACAAGGCACCTATTGAGGATCGCATATACGTTTATTAGAGTCAGAGTAAGGCCGCAGGATAATTAAGGCCGCAACGTAATCGGACAATCGACCCAGCTACCTCACCCATCCAGCGGCAAATGGGACAGACAACTCCAGGCTTGGAGTTGTCACTACTATTTCGACGCTTAACTGGGCCGACGCGGACCACGCCCGAGTGTAGCCGCCTAGGTGTGACCCCCTCGGCACCACCGCTCCATAGTTAAAGCGAGGAATCAGAGAACCGCTTTTG\n", "...\n" ] } ], "source": [ "for seq in sorted(sequences.items())[:2]:\n", " print('>%s\\n%s' % seq)\n", "print('...')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compare Pairwise Distance Distributions\n", "We can compare the pairwise distance distributions between the simulated datasets. Specifically, we will show the pairwise distance distribution of leaves on the simulated tree, and we will show the pairwise Hamming and JC69-corrected distributions of the simulated sequences.\n", "\n", "For two sequences $u,v$ with true JC69 distance $d(u,v)$, the Hamming distance $h(u,v)$ is expected to be *at most* equal to $d(u,v)$, but as $d(u,v)$ increases, $h(u,v)$ will deviate further and further from $d(u,v)$. Specifically, the following relation holds in expectation:\n", "\n", "$h(u,v) = \\frac{3\\left(1+e^{-\\frac{4d(u,v)}{3}}\\right)}{4}$\n", "\n", "This is because, any time an already-mutated site mutates again, the JC69 distance increases, but this subsequent mutation is unobservable to us, so the Hamming distance does not change. An intuitive way to help internalize this phenomenon is to realize that, by definition, the theoretical maximum possible Hamming distance between two sequences is exactly 100%, whereas JC69 distance is theoretically unbounded. This relation allows for a simple correction of Hamming distances to JC69:\n", "\n", "$d(u,v) = -\\frac{3}{4}\\ln\\left(1-\\frac{4h(u,v)}{3}\\right)$\n", "\n", "Note that, to reduce clutter in our notebook, we have written our code to perform pairwise-distance-related computations in a separate Python script containing helper functions, [helper.py](./helper.py)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from helper import distance_matrix_to_list,compute_hamming_distance_matrix,compute_jc69_corrected_distance_matrix\n", "distance_matrices = dict()\n", "distance_matrices['Tree'] = tree.distance_matrix()\n", "distance_matrices['Hamming'] = compute_hamming_distance_matrix(sequences)\n", "distance_matrices['Jukes-Cantor 69 (JC69)'] = compute_jc69_corrected_distance_matrix(sequences)\n", "pairwise_distances = {k:distance_matrix_to_list(distance_matrices[k]) for k in distance_matrices}" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "colors = {'Tree':'blue', 'Hamming':'red', 'Jukes-Cantor 69 (JC69)':'green'}\n", "for k in sorted(pairwise_distances.keys()):\n", " distplot(pairwise_distances[k], kde=True, hist=False, color=colors[k], label=k);\n", "plt.title(\"Pairwise Distance Distributions\");\n", "plt.xlabel(\"Pairwise Distance\");\n", "plt.ylabel(\"Kernel Density Estimate\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also numerically compare these distributions by looking at their averages." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average Pairwise Hamming Distance: 0.321204\n", "Average Pairwise Jukes-Cantor 69 (JC69) Distance: 0.441536\n", "Average Pairwise Tree Distance: 0.407739\n" ] } ], "source": [ "for k in sorted(pairwise_distances.keys()):\n", " print(\"Average Pairwise %s Distance: %f\" % (k, sum(pairwise_distances[k])/float(len(pairwise_distances[k]))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ideally, for two entities *u* and *v*, we would want the pairwise distance between *u* and *v* to be the same whether we are comparing their sequences or comparing them on the true phylogeny. As expected, because of loss of information due to sites that mutate multiple times, the Hamming distance between any two points is significantly lower than the true phylogenetic distance, and although the JC69 correction brings these pairwise sequence distances closer to their true phylogenetic values, it's not perfect.\n", "\n", "We can observe this more closely by looking at a plot of pairwise sequence distances vs. pairwise tree distances." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for k in ['Hamming','Jukes-Cantor 69 (JC69)']:\n", " ax = regplot(x=pairwise_distances['Tree'], y=pairwise_distances[k], color=colors[k], label=k, scatter=False);\n", "regplot(x=pairwise_distances['Tree'], y=pairwise_distances['Tree'], color='black', label='True', scatter=False, line_kws={'linestyle':'--'})\n", "plt.title(\"Pairwise Sequence Distance vs. Pairwise Tree Distance\");\n", "plt.xlabel(\"Pairwise Tree Distance\");\n", "plt.ylabel(\"Pairwise Sequence Distance\");\n", "ax.legend(loc=\"best\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "**Author:** [Niema Moshiri](https://niema.net/), UC San Diego, October 2, 2018\n", "\n", "---" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.9" } }, "nbformat": 4, "nbformat_minor": 4 }