{ "cells": [ { "cell_type": "markdown", "id": "94a4daa2", "metadata": {}, "source": [ "# Example 2: Modelling with PyTracerLab in the Bayesian Statistical Framework\n", "Here we show how to use the PyTracerLab package to perform a basic standard application of lumped parameter models (see Example 1), but with an important change. We still calibrate parameter values of the lumped parameter model from observations of tracer concentrations in an observation well, but here we perform this process in a Bayesian statistical framework using a Markov-chain Monte Carlo sampler." ] }, { "cell_type": "code", "execution_count": 1, "id": "b25444c9", "metadata": {}, "outputs": [], "source": [ "import PyTracerLab.model as ism\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from datetime import datetime" ] }, { "cell_type": "markdown", "id": "ac5cff6c", "metadata": {}, "source": [ "## 1. Load (Synthetic) Observation Data\n", "See Example 5 on how this data is generated." ] }, { "cell_type": "code", "execution_count": 2, "id": "7456a1bb", "metadata": {}, "outputs": [], "source": [ "# load input series\n", "# this would be the tracer concentration in precipitation or recharge in a\n", "# practical problem\n", "file_name = \"example_input_series_1tracer.csv\"\n", "data = np.genfromtxt(\n", " file_name,\n", " delimiter=\",\",\n", " dtype=[\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### plot input series, output series, and observations\n", "\n", "# get observation timesteps\n", "timesteps = [t.year + t.month / 12.0 for t in timestamps]\n", "\n", "# create figure\n", "fig, ax = plt.subplots(1, 1)\n", "# plot input series\n", "ax.plot(\n", " timesteps,\n", " input_series,\n", " label=\"Tracer Input\",\n", " c=\"grey\"\n", ")\n", "# plot output series\n", "ax.plot(\n", " timesteps,\n", " output_series,\n", " label=\"Tracer Output\",\n", " c=\"green\"\n", ")\n", "# plot observations\n", "ax.scatter(\n", " timesteps,\n", " obs_series,\n", " label=\"Observations\",\n", " color=\"red\",\n", " marker=\"x\",\n", " zorder=10\n", ")\n", "ax.set_xlabel(\"Time [months]\")\n", "ax.set_ylabel(\"Tracer concentration [-]\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "68d49bd6", "metadata": {}, "source": [ "## 2. Run MCMC for Model Parameters" ] }, { "cell_type": "code", "execution_count": 4, "id": "60800290", "metadata": {}, "outputs": [], "source": [ "t_half = 12.3 * 12.0\n", "lambda_ = np.log(2.0) / t_half\n", "\n", "### define model (use the same structure / units as the true model)\n", "# time step is 1 month\n", "m = ism.Model(\n", " dt=1.0,\n", " lambda_=lambda_,\n", " input_series=input_series,\n", " target_series=obs_series,\n", " steady_state_input=1., # this is the true value\n", " n_warmup_half_lives=10\n", ")\n", "\n", "# add an exponential-piston-flow unit\n", "# define the initial model parameters for inference\n", "epm_mtt_init = 12 * 40 # 1 year\n", "epm_eta_init = 1.5\n", "m.add_unit(\n", " ism.EPMUnit(mtt=epm_mtt_init, eta=epm_eta_init),\n", " fraction=.8, # 80 percent of the overall response; is the true value\n", " bounds=[(12. * 39., 12.0 * 41.), (1.4, 1.6)],\n", " prefix=\"epm\"\n", ")\n", "\n", "# add a piston-flow unit\n", "# define the true model parameters\n", "pm_mtt_init = 12 * 5 # 1 year\n", "m.add_unit(\n", " ism.PMUnit(mtt=pm_mtt_init),\n", " fraction=.2, # 20 percent of the overall response, is the true value\n", " bounds=[(12. * 4, 12.0 * 6.)],\n", " prefix=\"pm\"\n", ")" ] }, { "cell_type": "code", "execution_count": 18, "id": "432a52d0", "metadata": {}, "outputs": [], "source": [ "# create a solver\n", "solver = ism.Solver(m)\n", "# run MCMC\n", "res = solver.dream_sample(\n", " n_samples=2000, # effective samples after burn-in and thinning\n", " burn_in=2000,\n", " thin=1,\n", " n_chains=6,\n", " n_diff_pairs=2,\n", " cr=[i / 5 for i in range(1, 6)],\n", " sigma=0.01,\n", " return_sim=True,\n", " random_state=1234,\n", " set_model_state=False\n", ")" ] }, { "cell_type": "code", "execution_count": 19, "id": "7d7366fa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['epm.eta', 'epm.mtt', 'pm.mtt']\n" ] } ], "source": [ "# print order of parameters in results dictionary\n", "print(res[\"param_names\"])" ] }, { "cell_type": "code", "execution_count": 21, "id": "0d096fe3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'epm.eta': 1.0076529086527881, 'epm.mtt': 1.0087310454766107, 'pm.mtt': 1.0036605287697642}\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot chains to inspect convergence\n", "fig, ax = plt.subplots(res[\"samples_chain\"].shape[2], 1, figsize=(6, res[\"samples_chain\"].shape[2] * 1.5), sharex=True)\n", "\n", "for i in range(res[\"samples_chain\"].shape[2]):\n", " for j in range(res[\"samples_chain\"].shape[0]):\n", " ax[i].plot(res[\"samples_chain\"][j, :, i], c=\"k\", lw=.5, alpha=0.4)\n", " ax[i].set_ylabel(m.param_keys(free_only=True)[i])\n", " ax[i].set_xlim(0, res[\"samples_chain\"].shape[1])\n", "ax[-1].set_xlabel(\"Steps\")\n", "\n", "# print gelman rubin convergence statistics\n", "print(res[\"gelman_rubin\"])" ] }, { "cell_type": "code", "execution_count": 22, "id": "8f9555f2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# define true parameters\n", "epm_mtt_true = 12 * 40 # 40 years\n", "epm_eta_true = 1.5\n", "pm_mtt_true = 12 * 5 # 5 years (faster than EPM)\n", "\n", "fig, ax = plt.subplots(1, 3, figsize=(10, 3))\n", "\n", "_ = ax[0].hist(\n", " res[\"samples\"][:, 0],\n", " bins=20,\n", " density=True,\n", " label=\"EPM Eta\"\n", ")\n", "ax[0].axvline(epm_eta_true, color=\"red\", label=\"True\")\n", "ax[0].set_title(\"Posterior Density\\nEPM Eta\")\n", "ax[0].set_xlabel(\"Eta [-]\")\n", "ax[0].set_ylabel(\"Density [-]\")\n", "\n", "_ = ax[1].hist(\n", " res[\"samples\"][:, 1],\n", " bins=20,\n", " density=True,\n", " label=\"EPM MTT\"\n", ")\n", "ax[1].axvline(epm_mtt_true, color=\"red\", label=\"True\")\n", "ax[1].set_title(\"Posterior Density\\nEPM MTT\")\n", "ax[1].set_xlabel(\"MTT [months]\")\n", "\n", "_ = ax[2].hist(\n", " res[\"samples\"][:, 2],\n", " bins=20,\n", " density=True,\n", " label=\"PM MTT\"\n", ")\n", "ax[2].axvline(pm_mtt_true, color=\"red\", label=\"True\")\n", "ax[2].set_title(\"Posterior Density\\nPM MTT\")\n", "ax[2].set_xlabel(\"MTT [months]\")\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 25, "id": "d03c15a1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(12000, 600)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res[\"sims\"].reshape(-1, res[\"sims\"].shape[2]).shape" ] }, { "cell_type": "code", "execution_count": 26, "id": "2124a4e7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### plot input series, true output series, observations, and´\n", "# calibrated output\n", "\n", "# create figure\n", "fig, ax = plt.subplots(1, 1)\n", "# plot output series\n", "ax.plot(\n", " timesteps,\n", " output_series,\n", " label=\"Tracer Output\",\n", " c=\"green\",\n", " zorder=1000000\n", ")\n", "# plot calibrated results\n", "sims_ = res[\"sims\"].reshape(-1, res[\"sims\"].shape[2])[::100, :]\n", "for i in range(len(sims_)):\n", " if i < len(sims_) - 1:\n", " ax.plot(\n", " timesteps,\n", " sims_[i, :],\n", " # label=\"Calibration\",\n", " c=\"black\",\n", " alpha=0.1\n", " )\n", " else:\n", " ax.plot(\n", " timesteps,\n", " sims_[i, :],\n", " label=\"Posterior Samples\",\n", " c=\"black\",\n", " alpha=0.1\n", " )\n", "# plot observations\n", "ax.scatter(\n", " timesteps,\n", " obs_series,\n", " label=\"Observations\",\n", " color=\"red\",\n", " marker=\"x\",\n", " zorder=100000000\n", ")\n", "ax.set_xlabel(\"Time [months]\")\n", "ax.set_ylabel(\"Tracer concentration [-]\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "fd5c4fba", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "isosimpy_app", "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": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 5 }