{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Pluton emplacement test\n",
    "\n",
    "This Jupyter notebook employs the stochastic sampling algorithm of [Keller, Schoene, and Samperton (2018)](https://doi.org/10.7185/geochemlet.1826) as implemented in [Chron.jl](https://github.com/brenhinkeller/Chron.jl).\n",
    "\n",
    "<a href=\"https://mybinder.org/v2/gh/brenhinkeller/Chron.jl/main?filepath=examples%2FPlutonEmplacement.ipynb\" target=\"_blank\"><img src=\"https://static.mybinder.org/badge_logo.svg\" alt=\"Launch Binder notebook\" align=\"left\"></a> \n",
    "<p style=\"text-indent: 5px\">If running this notebook as an online Binder notebook and the webpage times out, click the badge at left to relaunch (refreshing will not work). Note that any changes will be lost!</p>\n",
    "\n",
    "Hint: `shift`-`enter` to run a single cell, or from the `Cell` menu select `Run All` to run the whole file. Any code from this notebook can be copied and pasted into the Julia REPL or a `.jl` script.\n",
    "***\n",
    "\n",
    "## Load required Julia packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load the Chron.jl package\n",
    "using Chron\n",
    "using Plots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "## Estimate the time of rheological lockup \n",
    "Given that the rheologically critical melt fraction ≈ 36% melt (see, e.g., [Caricchi 2007](https://doi.org/10.1016/j.epsl.2007.09.032) for experimental rheological data), which is also approximately the terminal porosity of a framework of close-packed spheres, a body of magma may be considered effectively \"emplaced\" by the time it cools to where F $\\leq$ 0.36. \n",
    "\n",
    "If we estimate the point within a MELTS zircon saturation distribution where melt fraction drops below 36%, we can use this to estimate the time by which a body of magma must have been emplaced.\n",
    "\n",
    "#### Input dataset (Try pasting in your own data here!)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Age and one-sigma uncertainty.\n",
    "ages = [101.333, 102.175, 102.074, 102.814, 102.335, 101.212, 101.398, 101.772, 102.456, 102.302, 102.039, 101.579, 102.135, 101.978, 102.325, 102.36, 101.53, 102.409, 101.277, 102.766,]\n",
    "uncert = [0.137, 0.141, 0.134, 0.149, 0.132, 0.141, 0.129, 0.129, 0.135, 0.142, 0.144, 0.128, 0.15, 0.144, 0.132, 0.13, 0.133, 0.133, 0.148, 0.14,]\n",
    "age_unit=\"Ma\"\n",
    "\n",
    "# Sort by age (just to make rank-order plots prettier)\n",
    "t = sortperm(ages)\n",
    "ages = ages[t];\n",
    "uncert = uncert[t];"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Input MELTS-derived $\\ \\mathcal{\\vec{f}}_{xtal}(t_r)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Distribution, AKA MZrn from MELTS zircon saturation (meltstzirc) calculations\n",
    "dist = [0.00102226,0.00105785,0.00109886,0.00113827,0.00118283,0.00122527,0.00127,0.00131584,0.00136402,0.00141291,0.00146517,0.00151593,0.0015771,0.00163667,0.00169765,0.00176478,0.00183148,0.00189186,0.00196526,0.00203994,0.00211244,0.00219109,0.00226588,0.00234415,0.00242908,0.00250853,0.00259262,0.00267285,0.00276366,0.00285942,0.00295,0.00304668,0.0031507,0.00324811,0.00334256,0.00345641,0.00357056,0.00368579,0.00381205,0.00393925,0.0040682,0.00420839,0.00434517,0.00448705,0.00462617,0.00478174,0.00494046,0.00509347,0.005262,0.00543599,0.00559582,0.00576977,0.00596128,0.00615107,0.00635583,0.00656449,0.00678063,0.00700385,0.00723641,0.00747424,0.00772279,0.00797097,0.00824662,0.00852537,0.00880685,0.00910631,0.00941175,0.00970515,0.0100419,0.0103883,0.0107337,0.0111116,0.0114879,0.0118724,0.0122876,0.0127015,0.0131353,0.0135732,0.0140491,0.0145477,0.0150343,0.0155732,0.0161175,0.0166661,0.0172398,0.0178859,0.018519,0.0191786,0.0198861,0.0206008,0.0213348,0.0221012,0.0228635,0.0236548,0.0244204,0.025197,0.0260081,0.0268075,0.0276271,0.0284577,0.0292575,0.0299837,0.0306664,0.0313003,0.0318339,0.0323055,0.03268,0.0329388,0.0330462,0.0330452,0.0329532,0.0326285,0.032175,0.0315716,0.0308023,0.0298608,0.0288332,0.0276613,0.0261425,0.0245284,0.0228927,0.0210703,0.0192917,0.0175039,0.015764,0.01409,0.0124369,0.0109181,0.00945112,0.00806163,0.00679755,0.00566667,0.0045914,0.0036195,0.00290947,0.00229281,0.00177751,0.0013579,0.0010393,]\n",
    "# Corresponding MELTS temperatures. \n",
    "T = [809.92,810.521,811.122,811.723,812.325,812.926,813.527,814.128,814.729,815.331,815.932,816.533,817.134,817.735,818.337,818.938,819.539,820.14,820.741,821.343,821.944,822.545,823.146,823.747,824.349,824.95,825.551,826.152,826.754,827.355,827.956,828.557,829.158,829.76,830.361,830.962,831.563,832.164,832.766,833.367,833.968,834.569,835.17,835.772,836.373,836.974,837.575,838.176,838.778,839.379,839.98,840.581,841.182,841.784,842.385,842.986,843.587,844.188,844.79,845.391,845.992,846.593,847.194,847.796,848.397,848.998,849.599,850.2,850.802,851.403,852.004,852.605,853.206,853.808,854.409,855.01,855.611,856.212,856.814,857.415,858.016,858.617,859.218,859.82,860.421,861.022,861.623,862.224,862.826,863.427,864.028,864.629,865.23,865.832,866.433,867.034,867.635,868.236,868.838,869.439,870.04,870.641,871.242,871.844,872.445,873.046,873.647,874.248,874.85,875.451,876.052,876.653,877.255,877.856,878.457,879.058,879.659,880.261,880.862,881.463,882.064,882.665,883.267,883.868,884.469,885.07,885.671,886.273,886.874,887.475,888.076,888.677,889.279,889.88,890.481,891.082,891.683,892.285,892.886,]\n",
    "# Both of the above must be in order of increasing temperature (=increasing age)\n",
    "# We are implicitly assuming a constant cooling rate by treating a \n",
    "# scaled temperature distribution as equivalent to a scaled time distribution\n",
    "\n",
    "# Plot distribution\n",
    "plot(T, dist, label=\"MELTS f_xtal\", ylabel=\"Probability Density\", xlabel=\"Temperature\", xflip=true, fg_color_legend=:white)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Run MCMC to estimate eruption age"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Configure model\n",
    "nsteps = 400000; # Length of Markov chain\n",
    "burnin = 150000; # Number of steps to discard at beginning of Markov chain\n",
    "\n",
    "# Run MCMC\n",
    "(tminDist, tmaxDist, llDist, acceptanceDist) = metropolis_minmax(nsteps,dist,ages,uncert; burnin=burnin);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Estimated lockup age:\n",
      " 102.16592593727708 +0.18860998126889683/-0.23459261427365163 Ma (95% CI)\n",
      "\n"
     ]
    },
    {
     "data": {
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "ename": "LoadError",
     "evalue": "UndefVarError: `fit` not defined",
     "output_type": "error",
     "traceback": [
      "UndefVarError: `fit` not defined",
      "",
      "Stacktrace:",
      " [1] top-level scope",
      "   @ In[5]:24"
     ]
    }
   ],
   "source": [
    "# The fraction of the way through the MELTS dist that lockup occurs\n",
    "lockup_fraction_mu = 0.2814311218465038 \n",
    "lockup_fraction_sigma = 0; #0.07475159714446021\n",
    "\n",
    "lockup_fraction = lockup_fraction_mu .+ lockup_fraction_sigma .* randn(size(tminDist))\n",
    "lockup_dist = tmaxDist .* (1 .- lockup_fraction) .+ tminDist .* lockup_fraction\n",
    "\n",
    "# Print results\n",
    "AgeEst = nanmean(lockup_dist)\n",
    "AgeEst_sigma = nanstd(lockup_dist)\n",
    "AgeEst_025CI = nanpctile(lockup_dist, 2.5)\n",
    "AgeEst_975CI = nanpctile(lockup_dist, 97.5)\n",
    "print(\"\\nEstimated lockup age:\\n $AgeEst +$(AgeEst_975CI-AgeEst)/-$(AgeEst-AgeEst_025CI) $age_unit (95% CI)\\n\\n\")\n",
    "\n",
    "# Plot results\n",
    "h = histogram(lockup_dist,nbins=100,label=\"Posterior distribution\",xlabel=\"Lockup Age ($age_unit)\",ylabel=\"N\",fg_color_legend=:white)\n",
    "# plot!(h,[wx,wx],collect(ylims()),line=(3),label=\"Weighted mean age\",legend=:topleft)\n",
    "savefig(h, \"histogram.pdf\")\n",
    "display(h)\n",
    "sleep(0.5)\n",
    "\n",
    "# Print out histogram\n",
    "edges = range(minimum(lockup_dist),maximum(lockup_dist),length=101) # Vector of bin edges\n",
    "hobj = fit(Histogram,lockup_dist,edges,closed=:left) # Fit histogram object\n",
    "print(\"Histogram N:\\n $(hobj.weights)\\n\\nHistogram bin centers:\\n $(cntr(edges))\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
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      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Plot eruption age estimate relative to rank-order plot of raw zircon ages\n",
    "h = plot(ylabel=\"Age (Ma)\", xlabel=\"N\", legend=:topleft, fg_color_legend=:white)\n",
    "plot!(h,1:length(ages),ages,yerror=uncert*2,seriestype=:scatter, label=\"Observed ages\")\n",
    "plot!(h,[length(ages)],[AgeEst],yerror=2*AgeEst_sigma, label=\"Bayesian lockup age estimate\",color=:red)\n",
    "plot!(h,collect(xlims()),[AgeEst,AgeEst],color=:red, label=\"\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "## Getting your data out\n",
    "Acccessing the command line with Julia's `;` command-line mode, we can use the unix command `ls` to see what's on the local filesystem and look for any files we have written"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Chron1.0Coupled.ipynb\n",
      "Chron1.0Coupled.jl\n",
      "Chron1.0CoupledConcordia.ipynb\n",
      "Chron1.0CoupledConcordia.jl\n",
      "Chron1.0CoupledSystematic.jl\n",
      "Chron1.0DistOnly.ipynb\n",
      "Chron1.0DistOnly.jl\n",
      "Chron1.0Radiocarbon.ipynb\n",
      "Chron1.0Radiocarbon.jl\n",
      "Chron1.0StratOnly.ipynb\n",
      "Chron1.0StratOnly.jl\n",
      "ConcordiaExampleData\n",
      "DenverUPbExampleData\n",
      "EruptionDepositionAgeDemonstration.ipynb\n",
      "EruptionDepositionAgeDemonstration.jl\n",
      "FCT\n",
      "Manifest.toml\n",
      "MyData\n",
      "PlutonEmplacement.ipynb\n",
      "Project.toml\n",
      "archive.tar.gz\n",
      "ffsend\n",
      "histogram.pdf\n"
     ]
    }
   ],
   "source": [
    "; ls"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you're running in a Binder notebook, you can use a utility called `ffsend` to upload and transfer any files that you want. Edit the cells below to specify "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Download prebuilt ffsend linux binary\n",
    "download(\"https://github.com/timvisee/ffsend/releases/download/v0.2.46/ffsend-v0.2.46-linux-x64-static\", \"ffsend\")\n",
    "\n",
    "# Make ffsend executable\n",
    "run(`chmod +x ffsend`);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/bin/bash: ./ffsend: cannot execute binary file\n"
     ]
    }
   ],
   "source": [
    "; ./ffsend upload histogram.pdf"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.9.2"
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