{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Notebook 6: \n",
    "\n",
    "This is an IPython notebook. Most of the code is composed of bash scripts, indicated by %%bash at the top of the cell, otherwise it is IPython code. This notebook includes code to download, assemble and analyze a published RADseq data set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": []
    }
   ],
   "source": [
    "### Notebook 6\n",
    "### Data set 6 (Finches)\n",
    "### Authors: DaCosta & Sorenson (2016)\n",
    "### Data Location: SRP059199"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Download the sequence data\n",
    "Sequence data for this study are archived on the NCBI sequence read archive (SRA). Below I read in SraRunTable.txt for this project which contains all of the information we need to download the data. \n",
    "\n",
    "+ Project SRA: SRP059199\n",
    "+ BioProject ID: PRJNA285779\n",
    "+ Biosample numbers: SAMN03753600 - SAMN03753623\n",
    "+ Runs: SRR2053224 -- SRR2053247\n",
    "+ SRA link: http://trace.ncbi.nlm.nih.gov/Traces/study/?acc=SRP059199"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%%bash\n",
    "## make a new directory for this analysis\n",
    "mkdir -p empirical_6/fastq/"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### For each ERS (individuals) get all of the ERR (sequence file accessions)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    BioSample_s Library_Name_s  MBases_l  MBytes_l  \\\n",
      "0  SAMN03753617         90.o31        77        49   \n",
      "1  SAMN03753619         90.o38        84        54   \n",
      "2  SAMN03753618         90.o50        83        55   \n",
      "3  SAMN03753613         90.o53        74        46   \n",
      "4  SAMN03753601           A056        70        44   \n",
      "\n",
      "                        Organism_s       Run_s SRA_Sample_s  \\\n",
      "0                Vidua hypocherina  SRR2053224    SRS954896   \n",
      "1                      Vidua regia  SRR2053225    SRS954895   \n",
      "2                   Vidua fischeri  SRR2053226    SRS954894   \n",
      "3                 Vidua orientalis  SRR2053227    SRS954893   \n",
      "4  Lagonosticta senegala rhodopsis  SRR2053228    SRS954892   \n",
      "\n",
      "                                  Sample_Name_s isolate_s Assay_Type_s  \\\n",
      "0              Vidua hypocherina, sample 90.o31    90.o31        OTHER   \n",
      "1                    Vidua regia, sample 90.o38    90.o38        OTHER   \n",
      "2                 Vidua fischeri, sample 90.o50    90.o50        OTHER   \n",
      "3               Vidua orientalis, sample 90.o53    90.o53        OTHER   \n",
      "4  Lagonosticta senegala rhodopsis, sample A056      A056        OTHER   \n",
      "\n",
      "    ...       LoadDate_s Platform_s ReleaseDate_s SRA_Study_s  \\\n",
      "0   ...     Jun 05, 2015   ILLUMINA  Jun 24, 2015   SRP059199   \n",
      "1   ...     Jun 05, 2015   ILLUMINA  Jun 24, 2015   SRP059199   \n",
      "2   ...     Jun 05, 2015   ILLUMINA  Jun 24, 2015   SRP059199   \n",
      "3   ...     Jun 05, 2015   ILLUMINA  Jun 24, 2015   SRP059199   \n",
      "4   ...     Jun 05, 2015   ILLUMINA  Jun 24, 2015   SRP059199   \n",
      "\n",
      "              age_s  g1k_analysis_group_s  g1k_pop_code_s sex_s  \\\n",
      "0  after hatch year        <not provided>  <not provided>  male   \n",
      "1  after hatch year        <not provided>  <not provided>  male   \n",
      "2  after hatch year        <not provided>  <not provided>  male   \n",
      "3  after hatch year        <not provided>  <not provided>  male   \n",
      "4  after hatch year        <not provided>  <not provided>  male   \n",
      "\n",
      "         source_s tissue_s  \n",
      "0  <not provided>   muscle  \n",
      "1  <not provided>   muscle  \n",
      "2  <not provided>   muscle  \n",
      "3  <not provided>   muscle  \n",
      "4  <not provided>   muscle  \n",
      "\n",
      "[5 rows x 27 columns]\n"
     ]
    }
   ],
   "source": [
    "## IPython code\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import urllib2\n",
    "import os\n",
    "\n",
    "## open the SRA run table from github url\n",
    "url = \"https://raw.githubusercontent.com/\"+\\\n",
    "      \"dereneaton/RADmissing/master/empirical_6_SraRunTable.txt\"\n",
    "intable = urllib2.urlopen(url)\n",
    "indata = pd.read_table(intable, sep=\"\\t\")\n",
    "\n",
    "## print first few rows\n",
    "print indata.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def wget_download(SRR, outdir, outname):\n",
    "    \"\"\" Python function to get sra data from ncbi and write to\n",
    "    outdir with a new name using bash call wget \"\"\"\n",
    "    \n",
    "    ## get output name\n",
    "    output = os.path.join(outdir, outname+\".sra\")\n",
    "    \n",
    "    ## create a call string \n",
    "    call = \"wget -q -r -nH --cut-dirs=9 -O \"+output+\" \"+\\\n",
    "           \"ftp://ftp-trace.ncbi.nlm.nih.gov/\"+\\\n",
    "           \"sra/sra-instant/reads/ByRun/sra/SRR/\"+\\\n",
    "           \"{}/{}/{}.sra;\".format(SRR[:6], SRR, SRR)\n",
    "        \n",
    "    ## call bash script\n",
    "    ! $call "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we pass the SRR number and the sample name to the `wget_download` function so that the files are saved with their sample names. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "for ID, SRR in zip(indata.Library_Name_s, indata.Run_s):\n",
    "    wget_download(SRR, \"empirical_6/fastq/\", ID)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Read 889818 spots for empirical_6/fastq/90.o31.sra\n",
      "Written 889818 spots for empirical_6/fastq/90.o31.sra\n",
      "Read 1012887 spots for empirical_6/fastq/90.o38.sra\n",
      "Written 1012887 spots for empirical_6/fastq/90.o38.sra\n",
      "Read 998161 spots for empirical_6/fastq/90.o50.sra\n",
      "Written 998161 spots for empirical_6/fastq/90.o50.sra\n",
      "Read 862619 spots for empirical_6/fastq/90.o53.sra\n",
      "Written 862619 spots for empirical_6/fastq/90.o53.sra\n",
      "Read 792799 spots for empirical_6/fastq/A056.sra\n",
      "Written 792799 spots for empirical_6/fastq/A056.sra\n",
      "Read 833981 spots for empirical_6/fastq/A081.sra\n",
      "Written 833981 spots for empirical_6/fastq/A081.sra\n",
      "Read 809186 spots for empirical_6/fastq/A082.sra\n",
      "Written 809186 spots for empirical_6/fastq/A082.sra\n",
      "Read 939649 spots for empirical_6/fastq/A089.sra\n",
      "Written 939649 spots for empirical_6/fastq/A089.sra\n",
      "Read 1020850 spots for empirical_6/fastq/A107.sra\n",
      "Written 1020850 spots for empirical_6/fastq/A107.sra\n",
      "Read 1001743 spots for empirical_6/fastq/A145.sra\n",
      "Written 1001743 spots for empirical_6/fastq/A145.sra\n",
      "Read 729322 spots for empirical_6/fastq/A147.sra\n",
      "Written 729322 spots for empirical_6/fastq/A147.sra\n",
      "Read 834688 spots for empirical_6/fastq/A167.sra\n",
      "Written 834688 spots for empirical_6/fastq/A167.sra\n",
      "Read 709824 spots for empirical_6/fastq/A177.sra\n",
      "Written 709824 spots for empirical_6/fastq/A177.sra\n",
      "Read 935241 spots for empirical_6/fastq/A1794.sra\n",
      "Written 935241 spots for empirical_6/fastq/A1794.sra\n",
      "Read 898117 spots for empirical_6/fastq/A204.sra\n",
      "Written 898117 spots for empirical_6/fastq/A204.sra\n",
      "Read 992534 spots for empirical_6/fastq/A248.sra\n",
      "Written 992534 spots for empirical_6/fastq/A248.sra\n",
      "Read 1034739 spots for empirical_6/fastq/A328.sra\n",
      "Written 1034739 spots for empirical_6/fastq/A328.sra\n",
      "Read 927116 spots for empirical_6/fastq/JMD1249.sra\n",
      "Written 927116 spots for empirical_6/fastq/JMD1249.sra\n",
      "Read 1031674 spots for empirical_6/fastq/JMD1285.sra\n",
      "Written 1031674 spots for empirical_6/fastq/JMD1285.sra\n",
      "Read 956686 spots for empirical_6/fastq/MDS004.sra\n",
      "Written 956686 spots for empirical_6/fastq/MDS004.sra\n",
      "Read 1220879 spots for empirical_6/fastq/MDS054.sra\n",
      "Written 1220879 spots for empirical_6/fastq/MDS054.sra\n",
      "Read 1064587 spots for empirical_6/fastq/MDS065.sra\n",
      "Written 1064587 spots for empirical_6/fastq/MDS065.sra\n",
      "Read 741675 spots for empirical_6/fastq/NKK511.sra\n",
      "Written 741675 spots for empirical_6/fastq/NKK511.sra\n",
      "Read 1079701 spots for empirical_6/fastq/SAR6894.sra\n",
      "Written 1079701 spots for empirical_6/fastq/SAR6894.sra\n",
      "Read 22318476 spots total\n",
      "Written 22318476 spots total\n"
     ]
    }
   ],
   "source": [
    "%%bash\n",
    "## convert sra files to fastq using fastq-dump tool\n",
    "## output as gzipped into the fastq directory\n",
    "fastq-dump --gzip -O empirical_6/fastq/ empirical_6/fastq/*.sra\n",
    "\n",
    "## remove .sra files\n",
    "rm empirical_6/fastq/*.sra"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total 1668628\n",
      "-rw-rw-r-- 1 deren deren 69481962 Nov 23 13:13 90.o31.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 75367262 Nov 23 13:13 90.o38.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 76680615 Nov 23 13:13 90.o50.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 66086600 Nov 23 13:13 90.o53.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 62055035 Nov 23 13:13 A056.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 64828556 Nov 23 13:13 A081.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 63527984 Nov 23 13:13 A082.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 73811356 Nov 23 13:13 A089.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 79426948 Nov 23 13:13 A107.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 78226977 Nov 23 13:13 A145.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 56867082 Nov 23 13:13 A147.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 67136950 Nov 23 13:13 A167.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 54625508 Nov 23 13:13 A177.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 68861314 Nov 23 13:13 A1794.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 70348288 Nov 23 13:13 A204.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 72142052 Nov 23 13:14 A248.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 73305922 Nov 23 13:14 A328.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 70371041 Nov 23 13:14 JMD1249.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 77220081 Nov 23 13:14 JMD1285.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 76259313 Nov 23 13:14 MDS004.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 87175055 Nov 23 13:14 MDS054.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 83991953 Nov 23 13:14 MDS065.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 57656728 Nov 23 13:14 NKK511.fastq.gz\n",
      "-rw-rw-r-- 1 deren deren 83176262 Nov 23 13:14 SAR6894.fastq.gz\n"
     ]
    }
   ],
   "source": [
    "%%bash\n",
    "ls -l empirical_6/fastq/"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Merge technical replicates\n",
    "This study includes several technical replicates per sequenced individuals, which we combine into a single file for each individual here. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Make a params file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pyRAD 3.0.63\n"
     ]
    }
   ],
   "source": [
    "%%bash\n",
    "pyrad --version"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\tnew params.txt file created\n"
     ]
    }
   ],
   "source": [
    "%%bash\n",
    "## remove old params file if it exists\n",
    "rm params.txt \n",
    "\n",
    "## create a new default params file\n",
    "pyrad -n "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Note: \n",
    "The data here are from Illumina Casava <1.8, so the phred scores are offset by 64 instead of 33, so we use that in the params file below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%%bash\n",
    "## substitute new parameters into file\n",
    "sed -i '/## 1. /c\\empirical_6/           ## 1. working directory ' params.txt\n",
    "sed -i '/## 6. /c\\CCTGCAGG,AATTC         ## 6. cutters ' params.txt\n",
    "sed -i '/## 7. /c\\20                     ## 7. N processors      ' params.txt\n",
    "sed -i '/## 9. /c\\6                      ## 9. NQual             ' params.txt\n",
    "sed -i '/## 10./c\\.85                    ## 10. clust threshold  ' params.txt\n",
    "sed -i '/## 12./c\\4                      ## 12. MinCov           ' params.txt\n",
    "sed -i '/## 13./c\\10                     ## 13. maxSH            ' params.txt\n",
    "sed -i '/## 14./c\\empirical_6_m4          ## 14. output name      ' params.txt\n",
    "sed -i '/## 18./c\\empirical_6/fastq/*.gz ## 18. data location    ' params.txt\n",
    "sed -i '/## 29./c\\2,2                    ## 29. trim overhang    ' params.txt\n",
    "sed -i '/## 30./c\\p,n,s                  ## 30. output formats   ' params.txt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==** parameter inputs for pyRAD version 3.0.63  **======================== affected step ==\r\n",
      "empirical_6/           ## 1. working directory \r\n",
      "./*.fastq.gz              ## 2. Loc. of non-demultiplexed files (if not line 18)  (s1)\r\n",
      "./*.barcodes              ## 3. Loc. of barcode file (if not line 18)             (s1)\r\n",
      "vsearch                   ## 4. command (or path) to call vsearch (or usearch)    (s3,s6)\r\n",
      "muscle                    ## 5. command (or path) to call muscle                  (s3,s7)\r\n",
      "CCTGCAGG,AATTC         ## 6. cutters \r\n",
      "20                     ## 7. N processors      \r\n",
      "6                         ## 8. Mindepth: min coverage for a cluster              (s4,s5)\r\n",
      "6                      ## 9. NQual             \r\n",
      ".85                    ## 10. clust threshold  \r\n",
      "rad                       ## 11. Datatype: rad,gbs,pairgbs,pairddrad,(others:see docs)(all)\r\n",
      "4                      ## 12. MinCov           \r\n",
      "10                     ## 13. maxSH            \r\n",
      "empirical_6_m4          ## 14. output name      \r\n",
      "==== optional params below this line ===================================  affected step ==\r\n",
      "                       ## 15.opt.: select subset (prefix* only selector)            (s2-s7)\r\n",
      "                       ## 16.opt.: add-on (outgroup) taxa (list or prefix*)         (s6,s7)\r\n",
      "                       ## 17.opt.: exclude taxa (list or prefix*)                   (s7)\r\n",
      "empirical_6/fastq/*.gz ## 18. data location    \r\n",
      "                       ## 19.opt.: maxM: N mismatches in barcodes (def= 1)          (s1)\r\n",
      "                       ## 20.opt.: phred Qscore offset (def= 33)                    (s2)\r\n",
      "                       ## 21.opt.: filter: def=0=NQual 1=NQual+adapters. 2=strict   (s2)\r\n",
      "                       ## 22.opt.: a priori E,H (def= 0.001,0.01, if not estimated) (s5)\r\n",
      "                       ## 23.opt.: maxN: max Ns in a cons seq (def=5)               (s5)\r\n",
      "                       ## 24.opt.: maxH: max heterozyg. sites in cons seq (def=5)   (s5)\r\n",
      "                       ## 25.opt.: ploidy: max alleles in cons seq (def=2;see docs) (s4,s5)\r\n",
      "                       ## 26.opt.: maxSNPs: (def=100). Paired (def=100,100)         (s7)\r\n",
      "                       ## 27.opt.: maxIndels: within-clust,across-clust (def. 3,99) (s3,s7)\r\n",
      "                       ## 28.opt.: random number seed (def. 112233)              (s3,s6,s7)\r\n",
      "2,2                    ## 29. trim overhang    \r\n",
      "p,n,s                  ## 30. output formats   \r\n",
      "                       ## 31.opt.: maj. base call at depth>x<mindepth (def.x=mindepth) (s5)\r\n",
      "                       ## 32.opt.: keep trimmed reads (def=0). Enter min length.    (s2)\r\n",
      "                       ## 33.opt.: max stack size (int), def= max(500,mean+2*SD)    (s3)\r\n",
      "                       ## 34.opt.: minDerep: exclude dereps with <= N copies, def=1 (s3)\r\n",
      "                       ## 35.opt.: use hierarchical clustering (def.=0, 1=yes)      (s6)\r\n",
      "                       ## 36.opt.: repeat masking (def.=1='dust' method, 0=no)      (s3,s6)\r\n",
      "                       ## 37.opt.: vsearch max threads per job (def.=6; see docs)   (s3,s6)\r\n",
      "==== optional: list group/clade assignments below this line (see docs) ==================\r\n"
     ]
    }
   ],
   "source": [
    "cat params.txt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Assemble in _pyrad_\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%%bash\n",
    "pyrad -p params.txt -s 234567 >> log.txt 2>&1  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%%bash\n",
    "sed -i '/## 12./c\\2                    ## 12. MinCov           ' params.txt\n",
    "sed -i '/## 14./c\\empirical_6_m2       ## 14. output name      ' params.txt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%%bash\n",
    "pyrad -p params.txt -s 7 >> log.txt 2>&1  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Results\n",
    "We are interested in the relationship between the amount of input (raw) data between any two samples, the average coverage they recover when clustered together, and the phylogenetic distances separating samples.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Raw data amounts\n",
    "The average number of raw reads per sample is 1.36M."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "count        24.000000\n",
      "mean     609459.416667\n",
      "std      114564.902701\n",
      "min      472250.000000\n",
      "25%      531561.250000\n",
      "50%      593659.500000\n",
      "75%      648491.250000\n",
      "max      961219.000000\n",
      "Name: passed.total, dtype: float64\n",
      "\n",
      "most raw data in sample:\n",
      "18    JMD1285\n",
      "Name: sample , dtype: object\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "## read in the data\n",
    "s2dat = pd.read_table(\"empirical_6/stats/s2.rawedit.txt\", header=0, nrows=25)\n",
    "\n",
    "## print summary stats\n",
    "print s2dat[\"passed.total\"].describe()\n",
    "\n",
    "## find which sample has the most raw data\n",
    "maxraw = s2dat[\"passed.total\"].max()\n",
    "print \"\\nmost raw data in sample:\"\n",
    "print s2dat['sample '][s2dat['passed.total']==maxraw]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Look at distributions of coverage\n",
    "pyrad v.3.0.63 outputs depth information for each sample which I read in here and plot. First let's ask which sample has the highest depth of coverage. The std of coverages is pretty low in this data set compared to several others. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "summary of means\n",
      "==================\n",
      "count    24.000000\n",
      "mean     38.139250\n",
      "std       5.881965\n",
      "min      28.454000\n",
      "25%      33.512000\n",
      "50%      37.240000\n",
      "75%      41.636500\n",
      "max      53.215000\n",
      "Name: dpt.me, dtype: float64\n",
      "\n",
      "summary of std\n",
      "==================\n",
      "count     24.000000\n",
      "mean     112.613125\n",
      "std       46.878437\n",
      "min       70.168000\n",
      "25%       85.451500\n",
      "50%       96.007500\n",
      "75%      121.462750\n",
      "max      241.616000\n",
      "Name: dpt.sd, dtype: float64\n",
      "\n",
      "summary of proportion lowdepth\n",
      "==================\n",
      "count    24.000000\n",
      "mean      0.458336\n",
      "std       0.074790\n",
      "min       0.308587\n",
      "25%       0.416855\n",
      "50%       0.463149\n",
      "75%       0.526700\n",
      "max       0.572036\n",
      "dtype: float64\n",
      "\n",
      "highest coverage in sample:\n",
      "11    A167\n",
      "Name: taxa, dtype: object\n"
     ]
    }
   ],
   "source": [
    "## read in the s3 results\n",
    "s6dat = pd.read_table(\"empirical_6/stats/s3.clusters.txt\", header=0, nrows=25)\n",
    "\n",
    "## print summary stats\n",
    "print \"summary of means\\n==================\"\n",
    "print s6dat['dpt.me'].describe()\n",
    "\n",
    "## print summary stats\n",
    "print \"\\nsummary of std\\n==================\"\n",
    "print s6dat['dpt.sd'].describe()\n",
    "\n",
    "## print summary stats\n",
    "print \"\\nsummary of proportion lowdepth\\n==================\"\n",
    "print pd.Series(1-s6dat['d>5.tot']/s6dat[\"total\"]).describe()\n",
    "\n",
    "## find which sample has the greatest depth of retained loci\n",
    "max_hiprop = (s6dat[\"d>5.tot\"]/s6dat[\"total\"]).max()\n",
    "print \"\\nhighest coverage in sample:\"\n",
    "print s6dat['taxa'][s6dat['d>5.tot']/s6dat[\"total\"]==max_hiprop]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "41.6207345663 129.154402626\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "## print mean and std of coverage for the highest coverage sample\n",
    "with open(\"empirical_6/clust.85/A167.depths\", 'rb') as indat:\n",
    "    depths = np.array(indat.read().strip().split(\",\"), dtype=int)\n",
    "    \n",
    "print depths.mean(), depths.std()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot the coverage for the sample with highest mean coverage\n",
    "Green shows the loci that were discarded and orange the loci that were retained. The majority of data were discarded for being too low of coverage. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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       "<toyplot.canvas.Canvas at 0x7ffa547d04d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import toyplot\n",
    "import toyplot.svg\n",
    "import numpy as np\n",
    "\n",
    "## read in the depth information for this sample\n",
    "with open(\"empirical_6/clust.85/A167.depths\", 'rb') as indat:\n",
    "    depths = np.array(indat.read().strip().split(\",\"), dtype=int)\n",
    "    \n",
    "## make a barplot in Toyplot\n",
    "canvas = toyplot.Canvas(width=350, height=300)\n",
    "axes = canvas.axes(xlabel=\"Depth of coverage (N reads)\", \n",
    "                   ylabel=\"N loci\", \n",
    "                   label=\"dataset6/sample=A167\")\n",
    "\n",
    "## select the loci with depth > 5 (kept)\n",
    "keeps = depths[depths>5]\n",
    "\n",
    "## plot kept and discarded loci\n",
    "edat = np.histogram(depths, range(30)) # density=True)\n",
    "kdat = np.histogram(keeps, range(30)) #, density=True)\n",
    "axes.bars(edat)\n",
    "axes.bars(kdat)\n",
    "\n",
    "#toyplot.svg.render(canvas, \"empirical_6_depthplot.svg\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Print final stats table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\r\n",
      "\r\n",
      "13093       ## loci with > minsp containing data\r\n",
      "13093       ## loci with > minsp containing data & paralogs removed\r\n",
      "12864       ## loci with > minsp containing data & paralogs removed & final filtering\r\n",
      "\r\n",
      "## number of loci recovered in final data set for each taxon.\r\n",
      "taxon\tnloci\r\n",
      "90.o31 \t6706\r\n",
      "90.o38 \t6694\r\n",
      "90.o50 \t6490\r\n",
      "90.o53 \t7132\r\n",
      "A056   \t5731\r\n",
      "A081   \t7098\r\n",
      "A082   \t7229\r\n",
      "A089   \t6918\r\n",
      "A107   \t6255\r\n",
      "A145   \t6608\r\n",
      "A147   \t6797\r\n",
      "A167   \t6015\r\n",
      "A177   \t7009\r\n",
      "A1794  \t4790\r\n",
      "A204   \t6040\r\n",
      "A248   \t6077\r\n",
      "A328   \t5912\r\n",
      "JMD1249\t7054\r\n",
      "JMD1285\t6707\r\n",
      "MDS004 \t7271\r\n",
      "MDS054 \t5489\r\n",
      "MDS065 \t6500\r\n",
      "NKK511 \t7033\r\n",
      "SAR6894\t4845\r\n",
      "\r\n",
      "\r\n",
      "## nloci = number of loci with data for exactly ntaxa\r\n",
      "## ntotal = number of loci for which at least ntaxa have data\r\n",
      "ntaxa\tnloci\tsaved\tntotal\r\n",
      "1\t-\r\n",
      "2\t-\t\t-\r\n",
      "3\t-\t\t-\r\n",
      "4\t1345\t*\t12864\r\n",
      "5\t844\t*\t11519\r\n",
      "6\t886\t*\t10675\r\n",
      "7\t658\t*\t9789\r\n",
      "8\t695\t*\t9131\r\n",
      "9\t878\t*\t8436\r\n",
      "10\t998\t*\t7558\r\n",
      "11\t455\t*\t6560\r\n",
      "12\t567\t*\t6105\r\n",
      "13\t1175\t*\t5538\r\n",
      "14\t847\t*\t4363\r\n",
      "15\t268\t*\t3516\r\n",
      "16\t205\t*\t3248\r\n",
      "17\t209\t*\t3043\r\n",
      "18\t223\t*\t2834\r\n",
      "19\t232\t*\t2611\r\n",
      "20\t281\t*\t2379\r\n",
      "21\t361\t*\t2098\r\n",
      "22\t498\t*\t1737\r\n",
      "23\t674\t*\t1239\r\n",
      "24\t565\t*\t565\r\n",
      "\r\n",
      "\r\n",
      "## nvar = number of loci containing n variable sites (pis+autapomorphies).\r\n",
      "## sumvar = sum of variable sites (SNPs).\r\n",
      "## pis = number of loci containing n parsimony informative sites.\r\n",
      "## sumpis = sum of parsimony informative sites.\r\n",
      "\tnvar\tsumvar\tPIS\tsumPIS\r\n",
      "0\t623\t0\t2713\t0\r\n",
      "1\t903\t903\t2414\t2414\r\n",
      "2\t1025\t2953\t1969\t6352\r\n",
      "3\t1095\t6238\t1452\t10708\r\n",
      "4\t1069\t10514\t1073\t15000\r\n",
      "5\t1013\t15579\t757\t18785\r\n",
      "6\t1002\t21591\t628\t22553\r\n",
      "7\t900\t27891\t499\t26046\r\n",
      "8\t745\t33851\t424\t29438\r\n",
      "9\t697\t40124\t284\t31994\r\n",
      "10\t610\t46224\t222\t34214\r\n",
      "11\t545\t52219\t160\t35974\r\n",
      "12\t510\t58339\t110\t37294\r\n",
      "13\t438\t64033\t73\t38243\r\n",
      "14\t372\t69241\t36\t38747\r\n",
      "15\t271\t73306\t22\t39077\r\n",
      "16\t240\t77146\t14\t39301\r\n",
      "17\t200\t80546\t9\t39454\r\n",
      "18\t173\t83660\t2\t39490\r\n",
      "19\t113\t85807\t0\t39490\r\n",
      "20\t103\t87867\t1\t39510\r\n",
      "21\t73\t89400\t0\t39510\r\n",
      "22\t55\t90610\t0\t39510\r\n",
      "23\t29\t91277\t1\t39533\r\n",
      "24\t22\t91805\t1\t39557\r\n",
      "25\t15\t92180\t0\t39557\r\n",
      "26\t8\t92388\t0\t39557\r\n",
      "27\t8\t92604\t0\t39557\r\n",
      "28\t4\t92716\t0\t39557\r\n",
      "29\t0\t92716\t0\t39557\r\n",
      "30\t2\t92776\t0\t39557\r\n",
      "31\t1\t92807\t0\t39557\r\n",
      "total var= 92807\r\n",
      "total pis= 39557\r\n",
      "sampled unlinked SNPs= 12241\r\n",
      "sampled unlinked bi-allelic SNPs= 10885\r\n"
     ]
    }
   ],
   "source": [
    "cat empirical_6/stats/empirical_6_m4.stats\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "17797       ## loci with > minsp containing data\n",
      "17797       ## loci with > minsp containing data & paralogs removed\n",
      "17477       ## loci with > minsp containing data & paralogs removed & final filtering\n",
      "\n",
      "## number of loci recovered in final data set for each taxon.\n",
      "taxon\tnloci\n",
      "90.o31 \t6934\n",
      "90.o38 \t7055\n",
      "90.o50 \t6786\n",
      "90.o53 \t7440\n",
      "A056   \t6719\n",
      "A081   \t7315\n",
      "A082   \t7503\n",
      "A089   \t7430\n",
      "A107   \t6794\n",
      "A145   \t7235\n",
      "A147   \t7216\n",
      "A167   \t7098\n"
     ]
    }
   ],
   "source": [
    "%%bash\n",
    "head -n 20 empirical_6/stats/empirical_6_m2.stats"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Infer ML phylogeny in _raxml_ as an unrooted tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%%bash\n",
    "## raxml argumement w/ ...\n",
    "raxmlHPC-PTHREADS-AVX -f a -m GTRGAMMA -N 100 -x 12345 -p 12345 -T 20 \\\n",
    "                      -w /home/deren/Documents/RADmissing/empirical_6/ \\\n",
    "                      -n empirical_6_m4 -s empirical_6/outfiles/empirical_6_m4.phy\n",
    "                      "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%%bash\n",
    "## raxml argumement w/ ...\n",
    "raxmlHPC-PTHREADS-AVX -f a -m GTRGAMMA -N 100 -x 12345 -p 12345 -T 20 \\\n",
    "                      -w /home/deren/Documents/RADmissing/empirical_6/ \\\n",
    "                      -n empirical_6_m2 -s empirical_6/outfiles/empirical_6_m2.phy\n",
    "                      "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "This is RAxML version 8.0.16 released by Alexandros Stamatakis on March 21 2014.\n",
      "\n",
      "With greatly appreciated code contributions by:\n",
      "Andre Aberer      (HITS)\n",
      "Simon Berger      (HITS)\n",
      "Alexey Kozlov     (HITS)\n",
      "Nick Pattengale   (Sandia)\n",
      "Wayne Pfeiffer    (SDSC)\n",
      "Akifumi S. Tanabe (NRIFS)\n",
      "David Dao         (KIT)\n",
      "Charlie Taylor    (UF)\n",
      "\n",
      "\n",
      "Alignment has 83996 distinct alignment patterns\n",
      "\n",
      "Proportion of gaps and completely undetermined characters in this alignment: 50.46%\n",
      "\n",
      "RAxML rapid bootstrapping and subsequent ML search\n"
     ]
    }
   ],
   "source": [
    "%%bash \n",
    "head -n 20 empirical_6/RAxML_info.empirical_6_m4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%%bash \n",
    "head -n 20 empirical_6/RAxML_info.empirical_6_m2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot the tree in R using `ape`\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%load_ext rpy2.ipython"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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KHj58KBAIgoODzc3N6QwUGxsbHBxMCKmsrDQwMOgcjPLz8z09PQ8dOuTg4HDgwAFfX9+K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\nMAIWAACAwghYAAAACiNgAQAAKOz/AelUAMU9rUh/AAAAAElFTkSuQmCC\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R -h 800 -w 800\n",
    "library(ape)\n",
    "tre <- read.tree(\"empirical_6/RAxML_bipartitions.empirical_6\")\n",
    "ltre <- ladderize(tre)\n",
    "\n",
    "par(mfrow=c(1,2))\n",
    "plot(ltre, use.edge.length=F)\n",
    "nodelabels(ltre$node.label)\n",
    "\n",
    "plot(ltre, type='u')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Get phylo distances (GTRgamma dist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1] 0.04078121\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "mean(cophenetic.phylo(ltre))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Translation to taxon names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   Library_Name_s                        Organism_s\n",
      "0          90.o31                 Vidua hypocherina\n",
      "1          90.o38                       Vidua regia\n",
      "2          90.o50                    Vidua fischeri\n",
      "3          90.o53                  Vidua orientalis\n",
      "4            A056   Lagonosticta senegala rhodopsis\n",
      "5            A081                  Vidua paradisaea\n",
      "6            A082                      Vidua obtusa\n",
      "7            A089                    Vidua macroura\n",
      "8            A107          Lagonosticta rhodopareia\n",
      "9            A145              Lagonosticta larvata\n",
      "10           A147                    Vidua macroura\n",
      "11           A167    Lagonosticta senegala rendalli\n",
      "12           A177                  Vidua chalybeata\n",
      "13          A1794             Anomalospiza imberbis\n",
      "14           A204            Lagonosticta rufopicta\n",
      "15           A248                 Lagonosticta rara\n",
      "16           A328     Lagonosticta sanguinodorsalis\n",
      "17        JMD1249                Vidua purpurascens\n",
      "18        JMD1285                  Vidua chalybeata\n",
      "19         MDS004                    Vidua raricola\n",
      "20         MDS054               Clytospiza monteiri\n",
      "21         MDS065    Lagonosticta rubricata congica\n",
      "22         NKK511                  Vidua interjecta\n",
      "23        SAR6894  Lagonosticta rubricata rubricata\n"
     ]
    }
   ],
   "source": [
    "print pd.DataFrame([indata.Library_Name_s, indata.Organism_s]).T"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}