relation_resolution_VI_index.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I would like to calculate the correlation between resolution (which is determined by the `c` value in our simulations) and the VI index of the inferred MCCs - I do this by simulating ARGs with a random resolution rate (by random sampling of the `c` parameter),using TreeKnit to infer MCCs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "using TreeKnit\n",
    "using TreeTools\n",
    "using ARGTools\n",
    "using MTKTools\n",
    "using Plots\n",
    "using StatsBase"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now I add some packages for analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/MTKTools/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/MTKTools/Manifest.toml`\n"
     ]
    }
   ],
   "source": [
    "import Pkg; Pkg.add(\"Statistics\")\n",
    "using Statistics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m    Updating\u001b[22m\u001b[39m git-repo `https://github.com/diegozea/ROC.jl`\n",
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/MTKTools/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/MTKTools/Manifest.toml`\n",
      "\u001b[32m\u001b[1m    Updating\u001b[22m\u001b[39m git-repo `https://github.com/PierreBarrat/TreeAlgs`\n",
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/MTKTools/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/MTKTools/Manifest.toml`\n",
      "\u001b[32m\u001b[1m    Updating\u001b[22m\u001b[39m git-repo `https://github.com/PierreBarrat/TestRecombTools`\n",
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/MTKTools/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/MTKTools/Manifest.toml`\n"
     ]
    }
   ],
   "source": [
    "Pkg.add(url=\"https://github.com/diegozea/ROC.jl\", rev=\"master\")\n",
    "import Pkg; Pkg.add(url=\"https://github.com/PierreBarrat/TreeAlgs\")\n",
    "import Pkg; Pkg.add(url=\"https://github.com/PierreBarrat/TestRecombTools\")\n",
    "using TestRecombTools"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We first start with Kingman"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
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     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function check_VI(;repeat=500, remove=true, rec=0.1)\n",
    "    res_value = []\n",
    "    VI = []\n",
    "    for r in 1:repeat \n",
    "        trees, arg = get_trees(8, 100, remove=remove, c=rand(), ρ = rec, simtype = :kingman);\n",
    "        rand_ = sample(1:8, 2, replace=false)\n",
    "        rMCCs = MTKTools.get_real_MCCs(2, arg)\n",
    "        res = [TreeTools.resolution_value(t) for t in trees[rand_]]\n",
    "        oa = TreeKnit.OptArgs()\n",
    "        mCC = TreeKnit.runopt(oa, trees[rand_][1], trees[rand_][2]; output = :mccs)\n",
    "        push!(res_value, sum(res)/2)\n",
    "        push!(VI, TestRecombTools.varinfo_similarity(rMCCs[1], mCC))\n",
    "    end\n",
    "    return res_value, VI\n",
    "end\n",
    "\n",
    "res_value, VI = check_VI()\n",
    "plot(scatter(res_value, VI, ylabel=\"VI distance\", xlabel=\"resolution rate\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It does appear that there is a negative correlation between how resolved a tree is and the VI index. A high VI value means that there is a larger distance between the inferred and true MCCs - meaning that a lower VI for higher resolution implies better inference at higher resolution rates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-0.3017702548448867"
     ]
    }
   ],
   "source": [
    "print(cor(res_value, VI))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I want to see if the correlation (or relationship between the resolution rate and the VI distance) is in anyway effected by the recombination rate."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For recombination rate: 10^-4.0 the correlation between resolution and VI is -0.03919208381234095\n",
      "For recombination rate: 10^-3.5 the correlation between resolution and VI is 0.025917896340819962\n",
      "For recombination rate: 10^-3.0 the correlation between resolution and VI is 0.058181758810827\n",
      "For recombination rate: 10^-2.5 the correlation between resolution and VI is 0.03424333269079398\n",
      "For recombination rate: 10^-2.0 the correlation between resolution and VI is 0.006927616056905242\n",
      "For recombination rate: 10^-1.5 the correlation between resolution and VI is -0.045656206848844826\n",
      "For recombination rate: 10^-1.0 the correlation between resolution and VI is -0.060290339250754714\n",
      "For recombination rate: 10^-0.5 the correlation between resolution and VI is -0.3492982975296719\n",
      "For recombination rate: 10^0.0 the correlation between resolution and VI is -0.48546177614727465\n"
     ]
    }
   ],
   "source": [
    "ran = -4:0.5:0\n",
    "res_values = Dict()\n",
    "VI_values = Dict() \n",
    "calc_cor_values = []\n",
    "for rec_rate in ran\n",
    "    rec = 10.0^rec_rate\n",
    "    res_values[rec_rate], VI_values[rec_rate] = check_VI(;rec=rec)\n",
    "    calc_cor = cor(res_values[rec_rate], VI_values[rec_rate])\n",
    "    println(\"For recombination rate: 10^\"*string(rec_rate)*\" the correlation between resolution and VI is \"*string(calc_cor))\n",
    "    push!(calc_cor_values, calc_cor)\n",
    "end\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
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     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(scatter([round(10^e, digits=4) for e in ran], calc_cor_values, ylabel=\"correlation\", xlabel=\"recombination rate\"), xaxis= :log10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we do the same for flu"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For recombination rate: 10^-4.0 the correlation between resolution and VI is 0.04363592867152797\n",
      "For recombination rate: 10^-3.5 the correlation between resolution and VI is 0.05412942540303399\n",
      "For recombination rate: 10^-3.0 the correlation between resolution and VI is -0.0182576701809613\n",
      "For recombination rate: 10^-2.5 the correlation between resolution and VI is -0.011431055642854302\n",
      "For recombination rate: 10^-2.0 the correlation between resolution and VI is 0.017894389040268674\n",
      "For recombination rate: 10^-1.5 the correlation between resolution and VI is 0.0236148308842877\n",
      "For recombination rate: 10^-1.0 the correlation between resolution and VI is -0.02669192005535234\n",
      "For recombination rate: 10^-0.5 the correlation between resolution and VI is -0.3758219713357252\n",
      "For recombination rate: 10^0.0 the correlation between resolution and VI is -0.5136822048502426\n"
     ]
    }
   ],
   "source": [
    "function check_VI(;repeat=500, remove=true, rec=0.1)\n",
    "    res_value = []\n",
    "    VI = []\n",
    "    for r in 1:repeat \n",
    "        trees, arg = get_trees(8, 100, remove=remove, c=0.2 + 4*rand(), ρ = rec, simtype = :flu);\n",
    "        rand_ = sample(1:8, 2, replace=false)\n",
    "        rMCCs = MTKTools.get_real_MCCs(2, arg)\n",
    "        res = [TreeTools.resolution_value(t) for t in trees[rand_]]\n",
    "        oa = TreeKnit.OptArgs()\n",
    "        mCC = TreeKnit.runopt(oa, trees[rand_][1], trees[rand_][2]; output = :mccs)\n",
    "        push!(res_value, sum(res)/2)\n",
    "        push!(VI, TestRecombTools.varinfo_similarity(rMCCs[1], mCC))\n",
    "    end\n",
    "    return res_value, VI\n",
    "end\n",
    "\n",
    "ran = -4:0.5:0\n",
    "res_values = Dict()\n",
    "VI_values = Dict() \n",
    "calc_cor_values = []\n",
    "for rec_rate in ran\n",
    "    rec = 10.0^rec_rate\n",
    "    res_values[rec_rate], VI_values[rec_rate] = check_VI(;rec=rec)\n",
    "    calc_cor = cor(res_values[rec_rate], VI_values[rec_rate])\n",
    "    println(\"For recombination rate: 10^\"*string(rec_rate)*\" the correlation between resolution and VI is \"*string(calc_cor))\n",
    "    push!(calc_cor_values, calc_cor)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
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     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(scatter([round(10.0^e, digits=4) for e in ran], calc_cor_values, ylabel=\"correlation\", xlabel=\"recombination rate\"), xaxis= :log10)"
   ]
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