{ "cells": [ { "cell_type": "markdown", "id": "ab5196e9-cad0-4814-8a05-61a2b27141fa", "metadata": { "editable": true, "papermill": { "duration": 0.004551, "end_time": "2026-08-06T13:39:32.822106+00:00", "exception": false, "start_time": "2026-08-06T13:39:32.817555+00:00", "status": "completed" }, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Parameter (uncertainty) estimates benchmarked with synthetic time series\n", "\n", "*Mark Bakker - Delft University of Technology*\n", "\n", "The purpose of this notebook is to demonstrate that the parameters estimated by Pastas are unbiased and that the coverage of the estimated uncertainty of the parameters is correct, i.e., the 95% confidence intervals of the estimated parameters contains the true parameter values approximately 95% of the time. \n", "\n", "All examples in this notebook use synthetic data. The true head is simulated with a known response function. The performance of Pastas is evaluated for head series with different kinds of both uncorrelated and correlated errors. The Notebook consists of the following sections:\n", "\n", "0. [Generation of the true head series.](#generation-of-synthetic-head-series-the-truth)\n", "1. [Modeling of synthetic heads that contain no errors.](#experiment-0-uncorrelated-errors-no-noise-model)\n", "2. [Modeling of synthetic heads with uncorrelated errors](#experiment-1-correlated-errors-with--no-noise-model)\n", "3. [Modeling of synthetic heads with correlated errors](#experiment-2-correlated-errors-with--with-ar1-noise-model)" ] }, { "cell_type": "code", "execution_count": 1, "id": "3f9812c4-444d-4bd4-8bb8-759ef672ec27", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T13:39:32.872863Z", "iopub.status.busy": "2026-08-06T13:39:32.872560Z", "iopub.status.idle": "2026-08-06T13:39:34.772625Z", "shell.execute_reply": "2026-08-06T13:39:34.771355Z" }, "papermill": { "duration": 1.922285, "end_time": "2026-08-06T13:39:34.773713+00:00", "exception": false, "start_time": "2026-08-06T13:39:32.851428+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pastas : 2.0.0\n", "Python : 3.13.11\n", "Numpy : 2.4.6\n", "Pandas : 3.0.3\n", "Scipy : 1.17.1\n", "Matplotlib : 3.10.9\n", "Numba : 0.65.1\n", "\n" ] } ], "source": [ "from functools import partial\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from scipy.special import gammainc, gammaincinv\n", "\n", "import pastas as ps\n", "\n", "plt.rcParams[\"figure.figsize\"] = (5, 3) # default figure size\n", "ps.show_versions()" ] }, { "cell_type": "markdown", "id": "aadbb7aa-0a38-465e-b596-45b3a92b9ee5", "metadata": { "papermill": { "duration": 0.025495, "end_time": "2026-08-06T13:39:34.802901+00:00", "exception": false, "start_time": "2026-08-06T13:39:34.777406+00:00", "status": "completed" }, "tags": [] }, "source": [ "The following function generates correlated data with an underlying standard deviation of $\\sigma_x$ and a correlation $\\rho$." ] }, { "cell_type": "code", "execution_count": 2, "id": "eb5c6d9b-6e6c-4963-bd63-8e13cbfce2a7", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T13:39:34.846718Z", "iopub.status.busy": "2026-08-06T13:39:34.845979Z", "iopub.status.idle": "2026-08-06T13:39:34.850633Z", "shell.execute_reply": "2026-08-06T13:39:34.849602Z" }, "papermill": { "duration": 0.01287, "end_time": "2026-08-06T13:39:34.852094+00:00", "exception": false, "start_time": "2026-08-06T13:39:34.839224+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "def generate_correlated_data(N, sigx, rho, seed=1):\n", " \"\"\"\n", " N: length of array of correlated data\n", " sigx: standard deviation of the correlated data\n", " rho: correlation coefficient\n", " seed: seed to be used in random number generation\n", " \"\"\"\n", " sige = np.sqrt(1 - rho**2) * sigx\n", " np.random.seed(seed)\n", " e = np.random.normal(0, sige, N - 1)\n", " x = np.zeros(N)\n", " x[0] = np.random.normal(0, sigx) # first point variance sigx\n", " for j in range(1, len(x)):\n", " x[j] = rho * x[j - 1] + e[j - 1]\n", " return x" ] }, { "cell_type": "markdown", "id": "c2addd59-9d76-4fad-b1ff-237c1157f65b", "metadata": { "papermill": { "duration": 0.002517, "end_time": "2026-08-06T13:39:34.861446+00:00", "exception": false, "start_time": "2026-08-06T13:39:34.858929+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Generation of synthetic head series (the truth)" ] }, { "cell_type": "markdown", "id": "f932abe4-f890-4114-a7d2-e256b0401757", "metadata": { "papermill": { "duration": 0.004695, "end_time": "2026-08-06T13:39:34.876110+00:00", "exception": false, "start_time": "2026-08-06T13:39:34.871415+00:00", "status": "completed" }, "tags": [] }, "source": [ "The synthetic head series are generated with a Gamma response function. The response functions are defined below for clarity (alternatively, the response function of Pastas can be used). " ] }, { "cell_type": "code", "execution_count": 3, "id": "c3ceb087-a63e-4420-90c6-3585a3b1116e", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T13:39:34.884592Z", "iopub.status.busy": "2026-08-06T13:39:34.884378Z", "iopub.status.idle": "2026-08-06T13:39:34.890800Z", "shell.execute_reply": "2026-08-06T13:39:34.888517Z" }, "papermill": { "duration": 0.012825, "end_time": "2026-08-06T13:39:34.891938+00:00", "exception": false, "start_time": "2026-08-06T13:39:34.879113+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "def gamma_tmax(A, n, a, cutoff=0.999):\n", " \"\"\"returns time for which step function equals cutoff * A\"\"\"\n", " return gammaincinv(n, cutoff) * a\n", "\n", "\n", "def gamma_step(A, n, a, cutoff=0.999):\n", " \"\"\"\n", " returns gamma step function starting at t=0 with intervals of delt = 1\n", " tmax is the time for which the step function reaches cutoff * A\n", " \"\"\"\n", " tmax = gamma_tmax(A, n, a, cutoff)\n", " t = np.arange(0, tmax, 1)\n", " s = A * gammainc(n, t / a)\n", " return s\n", "\n", "\n", "def gamma_block(A, n, a, cutoff=0.999):\n", " \"\"\"returns the gamma block response starting at t=0 with intervals of delt = 1\"\"\"\n", " s = gamma_step(A, n, a, cutoff)\n", " return np.append(s[0], s[1:] - s[:-1])" ] }, { "cell_type": "markdown", "id": "0769a93e-0362-4968-84f9-b20bde72ff68", "metadata": { "papermill": { "duration": 0.002386, "end_time": "2026-08-06T13:39:34.897239+00:00", "exception": false, "start_time": "2026-08-06T13:39:34.894853+00:00", "status": "completed" }, "tags": [] }, "source": [ "The Gamma response function requires three input arguments: A, n and a. The true values of the parameters used in this notebook are given below and the response function is drawn. The response function reflects the response to one unit of recharge during one day. For example, if the units of the recharge are mm/d, then the head response is in mm (in response to 1 mm of recharge). If the units of the recharge are m/d, then the head response is in m (in response to 1 m of recharge). " ] }, { "cell_type": "code", "execution_count": 4, "id": "6ff73d31-a015-4e27-a5d3-7ed90f2a1704", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T13:39:34.909196Z", "iopub.status.busy": "2026-08-06T13:39:34.908998Z", "iopub.status.idle": "2026-08-06T13:39:35.082454Z", "shell.execute_reply": "2026-08-06T13:39:35.081534Z" }, "papermill": { "duration": 0.180654, "end_time": "2026-08-06T13:39:35.083320+00:00", "exception": false, "start_time": "2026-08-06T13:39:34.902666+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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YLnsNtCHhM14ccDwAty2iBefNm2f0O0Qyw3pA+3FugIsb7mhDUC4ImZY/RJLifCOyMzU1Nduy3k8oUZfIt+aKhdDDioS3Avu9X/ukFsGJ9tKCBi8nhbFfXMsQYUMLEOcB1ru5dkOcH3g8EAUKNyy6JGkvSwXVRol7CC++uI8Kijlz5qj6MRcrkB24lhFBDCPD8FoyHCXIltCiLEDQXoSLBIEO8K1rI/PgIY3RePAdHghomwF44MANg3YrPBzQLw/uOGxrb0Cs4GqFWw5BJRAEjJaCB31kZGSO9oG3aVgMaKODOxp98dD+8t5772VpTzIEbTq42XEzwwqDew+igYc3zp0G3Nd4wCDcHi8rEBS0AeMNF2Jors0LwUQIBkJXAFg0yEtuQZ3CkwCLEO2dCO9HXaIfHyxu1LPWTw11j76ryAvEDEFM6Mto2u8V4gmXLB6ksMDx0ES7FkLmNRcZ3GU4D7CKEeADSxPlR1syXrZy2/8ND2G8sMA9jK4rOM946cBLCR7UAGWB9f3CCy8oSxjrUXdw4aEu0WZm+DJkDk0EYS1AcDVwL+Ca0Pp43s/9jTzivOD8oI0NXTGQ8guuG5QR1x26e+Eaz65NNrceJ7wIoFkFgV/wJiBgB8cwHNoS69GFBd0ltOA3nFNcS6hrBDtpHoT8tFHC+4LjQoizs6LxYjdlyhS1rPUJRl4QlIZkGJwHcL+hDvHSmpvxdmFkwJ2PcwMXvNY9RPOa2Bybxtw6KWfOnNENGTJEV6NGDZ2vr6/qqlGnTh0VPn7gwAGjbS9fvqx7/PHHVcg9QqH79Omjuj6YhnRr3UMMu1FoofBFixbNkgeEpSPMXcOwW4S5kPfdu3cbrTd3vOXLl+saNWqkylSlShXdJ598ovvll19yFL6t5RNdPLp06aLz8/NT4eM4Tnp6utG25sLZ9+3bp8Ly0e0Bv33ooYd027dvNxvqPmzYMF358uVVyDtC9HHsGzduWDwP7777rlr/7bffZluG7H6rgS4mTzzxhOqG4ePjo0L3EXK/fv169T3C/EeOHKkLDQ1VXVtwPrD83Xffma27PXv2qK4HON/Yl7m8RUVF6QYOHKi6uKC8DRs2VHVqiNY9xFy3D8NzjXOE7hu4VpE3XI+tWrXSzZ8/3+y5QH1gG+SvevXquhdffFHlOSegOwiOjfxrbN26Va1r165dlu1Nu4cA1D+6e6DchuXI7p7Qrun7ga4u6LaEOsL2WheP3Nwr2eXj559/Vl2JcH3gPGOfpvnCNYRjX7hwwei3Wnce3HcFwahRo9T+Dh06lO022rUjZpJpfYBp06ap7/CsyC3IB841rifcvxMmTFDnyx66h7jhj63FmhBi3J0IXS5y2t5KCClc2EZJCCGEWIBCSQghhFiAQkkIIYRYgG2UhBBCiAVoURJCCCEWoFASQgghFnC5AQcw3BeGB0Nn7MIcBosQQoh9g96RGAgEA3xYGlvY5YQSImk6yj8hhBDX5dKlS/oR08zhckKpDeuFE3O/KYEsgSHnMNwchnYrqFH3rQ3LYB84Qz04SzlYBteqh7i4OGU43W+4R5cTSs3dCpHMr1Bi4F/sw5EfCiyD7XGGenCWcrAMrlkPbvdphmMwDyGEEGIBCiUhhBBiAQolIYQQYgEKJSGEEGIBCiUhhBBir0KJWcQbNWqkj0ANCwtTs2NbYsGCBVKnTh3x9fWVhg0bysqVK62WX0IIIa6HTYUSHTwnTZoke/fulT179sjDDz8svXr1kqNHj5rdfvv27dKvXz8ZNGiQ7N+/X3r37q2SPUxwe+BSjLzw80556vvtsuJQpK2zQwghpICwaT/Kxx57zOjzxIkTlZW5Y8cOqV+/fpbtJ0+eLN26dZORI0eqzxMmTJC1a9fKt99+K9OmTRNbcfl2gjz/0065m5ymPu+5eFsu3KwtQx+qYbM8EUIIKRjsZsCB9PR05VaNj49XLlhzhIeHy4gRI4zWde3aVZYuXZrtfpOTk1UyHIlB69CKlFe03+L/5HWnlEg2Kh8gTSoFyszwCPls9UmpUdpPHq5dWuwVwzI4KiyD/cC6sA9YDzknp88+m89HefjwYSWMSUlJUqxYMZkzZ4706NHD7Lbe3t4yc+ZM5X7V+O6772T8+PESFRVl9jfjxo1T35uC42Dkh/ySki7yvz0ekpzhJm/UT5PqASKLzrvLlmvu4u+lk/cap4uf3byOEEII0UhISJBnn31WYmNjLY7UZvNHeO3ateXAgQMqowsXLpQBAwbI5s2bpV69egWy/9GjRxtZodrYfhhDML9D2MHtW7xGU0nedUjKFveVYX3bqaGQOqZlSM+p2+XcjQQ57lFNPuhRR+wRrQydO3d26CHHWAb7gHVhH7Aeco7mYbwfNhdKWIk1amS25TVr1kx2796t2iKnT5+eZduQkJAsliM+Y312+Pj4qGQKhKEgxOHAlbvqf1j1UqosmfsWGd+rgbzw8y75Y/cleaV9dalQIv/Wa2FRUOfClrAM9gPrwj5gPdyfnD733O1xvkjDNkVD4KJdv3690TpYE9m1aVqDQ1di1f9mlUsYrW9Xs7S0qV5KUtN1MnXjGRvljhBCSH6xqVDCLbplyxa5cOGCaqvE502bNslzzz2nvu/fv79apzF8+HBZtWqVfPHFF3LixAnV/ohuJcOGDbNZGc5ej1f/a5fJOk3LW51rqf8L9lyWS7cSrJ43QgghDi6U0dHRSgzRTtmxY0fldl29erVqMwMRERESGflvn8Q2bdqoIJwffvhBQkNDVZsmIl4bNGhgk/wnp4tExiap5eqli2X5vkWVktK2RpCkZejk120XbJBDQggh+cWmbZQ///yzxe9hXZrSp08fleyB65kaKSWLekuJopntk6YMbldVtp65IfP3XJK3OtcUf1/HbgskhBBXw+7aKB2JmJTMyT7LBfpmu037WqWlRnAx1c9y3u5LVswdIYSQgoBCmQ/iUjL/l/HPXijRXWRQ26pqecb2C5KWnpGfQxJCCLEyFMoCsCiDA7IXSvB4k/LKPXv5dqKsPxGdn0MSQgixMhTKArAoQ+4jlL5eHtKneQW1/MeuiPwckhBCiJWhUOaDO/eGCSztn3VAA1P6taik/m8+dV0Nok4IIcQxoFDmg8S0TNdrQJH7Bw9XCSoqD9QoJRhZdz6DegghxGGgUOaDxPTM/znt8tGvZaZVOW/PJQb1EEKIg0ChzAdJ94QywDdn3VG71AuRUkW9JSouWTYwqIcQQhwCCmU+SEzLnUXp7ekuT90L6plL9yshhDgEFMo8kpGh+9eizEEbpUbf5hX1QT3RcfeG9iGEEGK3UCjzSHxKuujkXjBPLoalq1a6mJppJD1DJ0sPXMnr4QkhhFgJCmUeuZOU2TfEy8NNfDxzdxqfapbpfl2497LoEAZLCCHEbqFQ5pF4TB0iIsV8PNUwdbnhkUZllbieirorh+/NZ0kIIcQ+oVDmkZR7Y7Z6e+T+FMJV261BiN6qJIQQYr9QKPNI6j2hhOs1L2ju12UHrkpS6r2oIEIIIXYHhTKPpKZnti165cGiBG2qB0nZ4r4Sm5gq649zoHRCCLFXKJR5JC1Dsyjzdgo93N3kiabl1fLCvZynkhBC7BUKZT4tSs88ul7Bk00z3a/sU0kIIfYLhTKPpKblz6LU+lQ2r1xCMnQii/ezTyUhhNgjFMp8Rr3mNZhH48l7QT2L2KeSEELsEgplHkmDGZhPi9KwT+XpaPapJIQQe4RCaaPuIYZ9KrvWD9FblYQQQuwLCqWNuoeYc78uO3hVktPYp5IQQuwJCmW+Lcr8n8K2NYKkTICPxCSkykbOU0kIIXaFTYXy448/lhYtWoi/v78EBwdL79695eTJkxZ/M2PGDDW2qmHy9fUVm3UPcc+f61XrU9m7idanktGvhBBiT9hUKDdv3ixDhw6VHTt2yNq1ayU1NVW6dOki8fHxFn8XEBAgkZGR+nTx4kWxmUWZy5lDsuOpe30qN52Mlpt3kwtkn4QQQvJPzmccLgRWrVqVxVqEZbl371558MEHs/0drMiQkMwAmPuRnJyskkZcXJz6D1FGyivJKWnqv6ebLl/70ahS0lcalQ+QQ1fiZPG+S/JiWGUpbLR8F0T+bQXLYD+wLuwD1kPOyemzz6ZCaUpsbOaUUyVLlrS43d27d6Vy5cqSkZEhTZs2lY8++kjq16+frXt3/PjxWdavWbNG/Pz88pzXkxGwJN0l8soVWbmyYIagq+XtJofEQ2ZuPiHBt4+KtYA17+iwDPYD68I+YD3cn4SEhBxsJeKms5OZgyF6PXv2lJiYGNm6dWu224WHh8vp06elUaNGSlg///xz2bJlixw9elQqVMh0X97PoqxYsaLcuHFDuXDzyierTshP2yKkf6sK8sGj9aQguJ2QIg98ulm1f/45NEzqhPhLYb9N4Wbq3LmzeHl5iSPCMtgPrAv7gPWQc6AHQUFBSkss6YHdWJRoqzxy5IhFkQRhYWEqabRp00bq1q0r06dPlwkTJmTZ3sfHRyVTIAz5EYcMXWYQj4+XZ4GJTHBxL+lYp4ysOnpNlh28Jg0rWrasC4r8ngt7gGWwH1gX9gHr4f7k9LlnF91Dhg0bJn/99Zds3LjRrFV4v4I2adJEzpw5I47aPcRcn8qlB65K2r1jEEIIsR02FUp4fSGSS5YskQ0bNkjVqlVzvY/09HQ5fPiwlC1bVqxJSgHMHmKODrVLS6mi3nLjbrJsOX29QPdNCCHEwYQS7tbZs2fLnDlzVF/Ka9euqZSYmKjfpn///jJ69Gj95w8//FAF4pw7d0727dsnzz//vOoeMnjwYJvMR+ldwBYlLNRejTP7VC5in0pCCHFtofz+++9VI2qHDh2URailefPm6beJiIhQfSU1bt++LS+//LJql+zRo4dqjN2+fbvUq1cwATU5JTVNG8KuYC1K8GSzTKFceyxKYhJSCnz/hBBCco5Ng3lyEnC7adMmo89fffWVSrZGsygxqk5BU79ccRXxeuLaHfnzUKS80Lrw+1QSQgix42AeR+TeLFvi7lbwQgmeMpinkhBCiO2gUOaTQtJJ1U4Ja/XApRg5E323cA5CCCHkvlAo80hhj9NQ2t9HOtQqrZYX7aNVSQghtoJCmUc0mSwkg9KoT+WSfVckXfP1EkIIsSoUyjyiNygLy/cqIh3rBkvxIl5yLS5Jtp+9UWjHIYQQkj0UynxSmBalj6eHPBaaOZACg3oIIcQ2UCjtnKeaVVT/Mf7rnSTHnQ6LEEIcFQplPoN5CtHzqgitUFyqly4qSakZsvLwvwMvEEIIsQ4UynwH8xSuUmKSai2oh0PaEUKI9aFQ5pPCtijB403Kq+PsunBLIm7mbKJRQgghBQOFMo9Yc7rrssWLSNsaQWqZfSoJIcS6UCjziO6e89UKBqXxkHb7LksG+1QSQoh9C+WsWbPkgQcekHLlyqkprsDXX38ty5YtE1ezKK3hegVd6oWIv6+nXL6dKNvP3rTOQQkhhOReKDE11ogRI9QUVzExMWriZBAYGKjE0vWwjlIW8faQ3vfmqfxjd4RVjkkIISQPQjllyhT58ccf5f333xcPDw/9+ubNm8vhw4dd5pzaYkC5Z1pm9qlcc/Sa3LybbIMcEEKI65FroTx//rw0adIky3ofHx+Jj48Xl8HKrldtnspGFYpLarqOQT2EEGKvQlm1alU5cOBAlvWrVq2SunXriqtg7WAejWdaVFL/5+6+VOgzmBBCCBHxzO1JQPvk0KFDJSkpST2od+3aJX/88Yd8/PHH8tNPP7ncObWmRQl6Ni4n/7fimJy7Hi+7zt+SVtVKWTcDhBDiYuRaKAcPHixFihSR//3vf5KQkCDPPvusin6dPHmyPPPMM+JyUa9WtimL+XhKz9ByyqJEolASQogddg957rnn5PTp03L37l25du2aXL58WQYNGiSuhC2dns+0zHS/YuzX2AQOlE4IIXYllImJicqSBH5+fuozuoWsWbNGXAlr96M0HSi9Toi/JKdlyJL9l62fAUIIcSFyLZS9evWS3377TS2jH2XLli3liy++UOvRx9LVsIFOqoHS+92zKhnUQwghdiaU+/btk3bt2qnlhQsXSkhIiBqdB+L5zTffiKtFvdrEpBRRgw/4eLrLiWt35MClGJvkgRBCXIFcCyXcrv7+/moZ7tYnnnhC3N3dpXXr1vrh7HIKImVbtGih9hccHCy9e/eWkydP3vd3CxYskDp16oivr680bNhQVq5cKVbHxj0zivt5ySMNy6rlubsu2TYzhBDixORaKGvUqCFLly6VS5cuyerVq6VLly5qfXR0tAQEBORqX5s3b1ZdTXbs2CFr166V1NRUtT9LAxds375d+vXrp4KH9u/fr8QV6ciRI2Kb+ShtR79Wme7X5QevSmwig3oIIcQuhHLMmDHyzjvvSJUqVaRVq1YSFhamty7NjdhjCQxS8OKLL0r9+vUlNDRUZsyYIREREbJ3795sf4NuKN26dZORI0eqAQ4mTJggTZs2lW+//VZsgY08r4rmlUtI7TL+kpiaLov2MqiHEELsoh/lU089JW3btpXIyEglbhodO3aUxx9/PF+ZiY2NVf9LliyZ7Tbh4eFq0ANDunbtqqxccyQnJ6ukERcXp/7DekXKKxkZGZn/09PztZ/88mzLCjL2z+MyK/yCPNeivLi751y5tXzbMv/5hWWwH1gX9gHrIefk9NnnprOTcdAgPD179lSRtFu3bs12O29vb5k5c6Zyv2p89913Mn78eImKisqy/bhx49R3psyZM0d1b8krU466y5k4dxlQM12aBtnuFCani3yw10OS091kSN10qRNoF9VJCCF2jzZoDow0S02HubYo0X44adIkWb9+vWqX1CwrjXPnzuUpw2irRDujJZHMC6NHjzayQGFRVqxYUbWF5rZN1ZDZV3eJxMVIo0YNpUfjzEmVbcVht+Mya+clOa0LkRE9muTqbQptw507dxYvLy9xRFgG+4F1YR+wHnKO5mEslCHsEITzwgsvSNmyZVWfvvwybNgw+euvv2TLli1SoYJl0UF3FFPLEZ+x3hyY1QTJFAhDfsRBK7enh6fNRWbAA1WVUG44eV2i49OkfGCRXP0+v+fCHmAZ7AfWhX3Aerg/OX3u5Voo//77b1mxYoU88MADkl/g9X399ddlyZIlsmnTJjUzyf1A8BCs2TfffFO/DlaRFlRk9ahXW4a93qNGsL+0qV5Ktp+9Kb/vuCjvdqtj6ywRQojrRr2WKFHCYrBNbt2ts2fPVu2F6EuJcWORMCyeRv/+/ZX7VGP48OEqWhajAZ04cUK1Qe7Zs0dZpdbETpp29fQPq6z+z9t9SZLT0m2dHUIIcV2hRHcMdBHRxnvNDxjyDo2oHTp0UG5cLc2bN0+/DbqLIMJWo02bNkpYf/jhBxV1i9GBEPHaoEEDcWU61S0jZYv7ys34FDVYOiGEkIIh165XWHJnz56VMmXKqL6Upj5eDHFXkFYZXLKm9OnTRyV7oCDaaAsCTw93ebZlJfli7Sn5LfyiPN7EtgFGhBDiskKJUXCI4XyU9gOm3/pmw2nZHxEjhy/HSsMKxW2dJUIIcT2hHDt2bOHkxMGwrxbKTEr7+0iPhmVl2YGr8uu28/Jl38a2zhIhhLjmxM0Aw8whEAcJY666Gprb2E48r3oGta2qH/81Ki7J1tkhhBDXsygxyMAzzzyj2g4DAwPVOoym89BDD8ncuXOldOnS4kq42ZXzVaRRhUBpUaWE7L5wW34LvyAju7KrCCGEWNWiRL/HO3fuyNGjR+XWrVsqYUQdjHDwxhtviKtgT/0os7Mqf98ZIYkp7CpCCCH5IddCiT6MGFsVM3do1KtXT6ZOnaoGI3AV7KwbpRGd64VIxZJFJCYhVRbt46wihBBiVaHE2K7mhv3BOtNxX50Z3T2b0g4NSvFwd5OBbTKtyl+2nZeMDDtWdUIIcTahfPjhh9XoOFevXtWvu3Llirz11ltqqi2Xwx6VUkSeblFR/H085dz1eNl0KtrW2SGEENcRSkyQjPZIDDZQvXp1lTBGK9ZNmTJFXAatH6U9NlKKSDEfT+nboqJa/nnreVtnhxBCXCfqFVNUYfSddevWqbFWAdorO3XqJK6EIzgzX3yginK9bjtzU45ejZX65TgAASGEFLpQalYU5jBEclXscWQeUyqU8FMDEPx1KFKmbz4n3/TL+VyVhBBC8jHgAKa5evTRR/WuVyzDwnRF7NTzqufV9tXV/78OXZWIm/kfyJ4QQlyNXAsluoZ069ZNTYuFoB6kgIAA6dGjh+oi4irYc9SrIQ3KF5cHa5UWBL7+8M9ZW2eHEEKc3/X60UcfyVdffWU0/yMGGsBEzvgOc0y6Avbcj9KUIe2ry5ZT12X+nssyvGMtNSYsIYSQQrIoMVwdLEpTunTpouaWdLk2Snv3vYpI62olpXHFQElJy1CDpRNCCClEoezZs6csWbIky/ply5aptkpXw/5lMlPMh3TIbKucFX5R4pJSbZ0lQghxXtcrhqubOHGiGhQ9LCxMrduxY4ds27ZN3n77bfnmm2/02zrz2K86R1JKDGtXt4zUCC4mZ6LvypydEfogH0IIIQUslD///LOUKFFCjh07ppIGZhLBd4ZWjDMLpUM1UsJ14O6mxPGdBQfVAAQvtqkiHrbOFCGEOKNQnj/PNi6j2UMcxaSE2zy0nHy55qRcjU2S+XsuSb/m5W2dJUIIcd6JmzXS09PlwIEDcvv2bXFFHCCWR4+3p7sMeaiGWv5u41lJTuUUXIQQUuBC+eabb+pdrBDJBx98UJo2baqGtkO7pavgCCPzmOPp5hWkbHFfuRaXJAv2XbF1dgghxPmEcuHChRIaGqqW//zzT7lw4YIa8xWzh7z//vvicgMOOJhS+nh6yGv3ImCnbTkvaa4zMxohhFhHKG/cuCEhISFqeeXKldKnTx+pVauWvPTSS3L48GFxFRwslifLFFwhAb4SFZcs4dEOpvSEEGLvQlmmTBkV7Qq366pVq/QDoyckJIiHh+vFUTpSMI+RVflQplW57oq7JNOsJISQghPKgQMHytNPPy0NGjRQXUC06bV27twpderUydW+tmzZIo899piUK1dO7Wvp0qUWt0cbKLYzTdeuXRObRb06nk4qnm5eUcoE+EhMipssZFslIYQUnFCOGzdOfvrpJ3nllVfUIAM+PpnjhsKaHDVqVK72FR8fr9o7czuY+smTJyUyMlKfgoODxdo4susV+Hp5yH/aVVXL07ecl+Q0RsASQkiBzUf51FNPqf9JSUn6dQMGDMj1frp3765SboEwYoAD2+LgSgmrsll5mbz2uETGJsnvOyLkpbaZwkkIISQfQom2ScwSMm3aNImKipJTp05JtWrV5IMPPpAqVarIoEGDpLBp3LixJCcnK/cvLFzMXJId2A5JIy4uTv1PTU1VKb8WZUZ6er72Y0vcJUO6VciQeec8ZMqG0/J44xAp5pOndyeboZ17R60DZymDs5SDZXCtekjN4f7ddLrcORE//PBDmTlzpvr/8ssvy5EjR5RQzps3T77++msJDw/PU4bR1ojB1nv37m3R5Yp2yubNmyvxgwt41qxZqn0UfTnNASEdP358lvVz5swRPz8/ySsT93tIdJKbvFE/TaoHiMOSrhOZdCCzLN0qpEv3io5vKRNCSE5AEOqzzz6rZr7CvMoFJpQ1atSQ6dOnS8eOHdXkzQcPHlRCib6UGCQ9ryP05EQozdG+fXupVKmSEsycWpQYHAHdXCydmPvR6at/5OKtRJn1YhNpXb20OCJ4m1q7dq2klw+VEQuPSlFvD1k/op2UKuotjlYGRF97eXmJI+IMZXCWcrAMrlUPcXFxEhQUdF+hzLWf7cqVK0osTcnIyLCJy6Vly5aydevWbL9HsJEWcGQITn7+KiAz3NXT09NhHwoajzQsJ7+GX5bDV2Llh38uypjH6omjkf/6tD3OUAZnKQfL4Br14JXDfbvnZZqtf/75x+yIPU2aNBFrg3Fmy5YtK7bCQXuHZJlZ5N1utdXy7B0X5fLtBFtniRBC7IZcW5RjxoxREa6wLGFFLl68WLUd/vbbb/LXX3/lal93796VM2fOGM1MAuErWbKkcqeOHj1aHQf7BmgDrVq1qtSvX19F3KKNcsOGDbJmzRqx3RB2ziCVIm1rBEmb6qVk+9mb8vW60/J5n8xhCgkhxNXJtUXZq1cvNcbrunXrpGjRoko4jx8/rtZpo/TklD179igrVLNER4wYoZaxT4A+khEREfrtU1JS1OTQDRs2VG2TaB9FPtBeam0cdVD07IDgv9stc8CIRfsuy7GrmdHBhBDi6uTKokxLS1NdQzCuKxpa80uHDh3EUizRjBkzjD6/++67KtkDzhgb2rhioDzSqKysOBQp/7fimPw+uJXTWMyEEGIVixKBK59++qkSTHIPJ9ORUd3qqHkr4YJddzza1tkhhBDHc73Czbl58+bCyY0jcc8SdjKdlIol/WTQvRF6Plp5XFI4YDohxMXJdTAPhpzDmK6YUqtZs2aqndKQnj17iivw76DoziaVouarXLDnkpy/ES+zdlzUCychhLgiuRbK1157Tf3/8ssvs3wH0cAQd66Aow+Kbgl/Xy95u0ttGb34sExed0qeaFJeSjjQIASEEGJT1yu6hGSXXEUkDXE+e/LfabjqhPhLXFKafL3ulK2zQwghjiOUxDnmo7wfHu5uMubRzBF6Zu+MkBPX2F2EEOKaUCjziNatxc1pbUqRNjWCpHuDEEnP0MkHS49Y7MpDCCHOCoUyj7iKZHzwaD3x8/aQ3Rduy6J9V2ydHUIIsToUynzirK5XjXKBReSNjjXV8scrj0tsguPONUgIIXmBQplXXMWkFJGXHqgqNYKLyc34FPlszQlbZ4cQQuxPKDFnV06Tq+DswTyGYKSeCb0aqOXfd0bIocsxts4SIYTYVz/KwMDAHHesd5UuIq4W2BJWvZT0alxOlh24Kv9bekSWvPaAiowlhBBnJ0dCuXHjRv3yhQsX1Mg8L774ooSFhal14eHhMnPmTPn444/F1XDmqFdT3u9RVzaciJZDl2Pl123nZXC7arbOEiGE2IdQYkorjQ8//FCNytOvXz+jYesw9dUPP/yg5qp0BVzJ9aoRHOCrxHLU4sPy+ZqT0rleGalcyngIQ0IIEVcP5oH12Lx58yzrsW7Xrl3iKjjbfJQ5pW+LimqC56TUDBm16LDLuaAJIa5HroWyYsWK8uOPP2ZZ/9NPP6nvXAWdK4W9GoC26klPNBJfL3cJP3dT5u6+ZOssEUKIfQ2K/tVXX8mTTz4pf//9t7Rq1UqtgyV5+vRpWbRokbgaruR61ahUyk/e6VJb/m/FcfloxXF5qHawhBT3tXW2CCHEPizKHj16KFFEu+StW7dUeuyxx+TUqVPqO9dzvbqgUorIwAeqSmjFQLmTnCbvL6ELlhDivOTaogQVKlSQiRMnFnxuHBHX1EnVNeTTJxvJY1O2yvoT0TJ/zyXp26KSrbNFCCH2IZQgISFBIiIiJCUlxWh9o0aNxBVgDItI7RB/ebtLLfn47xMy/s9j0rpaKUbBEkKcjlwL5fXr12XgwIGqjdKVBxxwcYNSD/pSwqLcdf6WjJh/UOa90lo8PTgyIiHEecj1E+3NN9+UmJgY2blzpxQpUkRWrVqlBhuoWbOmLF++XFwt6jWnIxY5swv2iz6hUszHU/ZevC3Tt5yzdZYIIcS2QrlhwwY14AD6Tbq7u0vlypXl+eefl08//dSlRuZx1X6U5qhY0k/G9ayvlr9ae0qOXIm1dZYIIcR2QhkfHy/BwcFquUSJEsoVCzAyz759+8RVcMWReSzxZNPyapLntAydvDF3v8Qnp9k6S4QQYhuhrF27tpw8eVIth4aGyvTp0+XKlSsybdo0KVu2bK72tWXLFtW1pFy5csqFuXTp0vv+ZtOmTdK0aVPx8fGRGjVqyIwZM3JbBFIIoP4mPt5QygT4yLnr8fLB0iMctYcQ4ppCOXz4cImMjFTLY8eOVUE9lSpVkm+++UY++uijXFunENupU6fmaPvz58/LI488Ig899JAcOHBAtZcOHjxYVq9eLTZzvdKi1FOyqLd880wTwaQii/dfkQV7L1u9XgghxOZRr2iP1GjWrJlcvHhRTpw4ocQyKCgoV/vq3r27SjkFVmvVqlXliy++UJ/r1q0rW7duVaMFde3aVWwSzMNWSiNaVSslIzrXks/XnJIxy45I44qBUquMv1XrhhBC7KIfJfpPwsKrXr26coVaAwzI3qlTJ6N1EEhYltmRnJyskoY2uXRqaqpK+bUo09LS8rUfW6Llu6Dz//IDlSX87E3ZdvamvDZ7ryx6tZX4eef5UrNJGayJM5TBWcrBMrhWPaTmcP+eeRlo4PXXX1ddQgCGrqtWrZpaV758eTVXZWFx7do1KVOmjNE6fIb4JSYmqu4qpiASd/z48VnWr1mzRvz8/PKcl/Q0D2VPbtu2VU46+DCna9euLfB9dgsUOezlIWeux8vgaevkueoZheqmLowyWBtnKIOzlINlcI16SEhIKByhHD16tBw8eFAF1XTr1k2/HpbeuHHjClUo8wLyO2LECP1niCpmOenSpYsEBATkeb+j9qwXyUiXtm3bSrXgvO/HluBtChdi586dxcvLq8D3XzX0lvT/dY/svu4u3VrWk/6tKzlcGayBM5TBWcrBMrhWPcTd8zAWuFAiMnXevHnSunVro8729evXl7Nnz0phEhISIlFRUUbr8BmCZ86aBIiORTIFJz9/FZDpe/Xy8nTYh0LBnQvztK1VRkZ3rysTVx6Xj/4+KfXLB6ph7hypDNbEGcrgLOVgGVyjHrxyuO9cR72i36TWj9I0grWwR6kJCwuT9evXG63DWwfW26wfJYN5LDK4XVXp1bicpGfoZOjv++RKTKI1qocQQgqMXAslRuRZsWKF/rMmjpi4ObeCdffuXdXNAwkgOAjLGGxdc5v2799fv/2rr74q586dk3fffVdF2n733Xcyf/58eeutt3JbDGLliZ7rlQ2Qm/Ep8uqsvZKU6lrjARNCHJtcu17RVxJdOo4dO6YiPidPnqyWt2/fLps3b87Vvvbs2aP6RGpobYkDBgxQAwmgv6YmmgBdQyDSEEYcF9N9QaCt3TUEsB9lzini7SHTX2gmPb/dKoevxMqoRYfkq76NXX6cXEKIkwolgldg9U2aNEkNW4foUXQPQdcNfM4NHTp0sDh6i7lRd/Cb/fv3i6351/VKcjoe7NRnm0r/X3bJ0gNX1XRcb3WuxZNHCLF78tS5DX0nf/zxR3FlNIF39dlDckObGkHyf70byKjFh2Xy+tNSqaSfPNmsgq2zRQghBSOUOQ2jzU+XC+L8PNOykly8lSDfbzoroxYfkvIlihRaJCwhhFhVKAMDAy1aT7Cw8L2rTdxMcs/ILrUl4maCrDgcKf+ZtVcWDWkjNYKL8VQSQhxbKDdu3Ggkij169FCBNBiNxxVhME/eccdkz0+HytXYRNkfESMDftklC4eESdni5vvCEkKIQwhl+/btjT57eHioQQcwfJ0rwmCe/OHr5SE/9W8ufaaFy7kb8fLCz7tk/n/C1AwkhBDi0P0oSSaWonVJzihVzEdmDW4lZYv7ypnouzLw111ylxM+E0LsDAplPmHUa/4oH1hEZg1qKSX8vOTg5Vj5z6w9kpzGdm5CiJMIpSuLBF2vBUeNYH+ZMbClFPX2kG1nbqqh7lLSMgrwCIQQYoU2yieeeMLoc1JSkhpSrmjRokbrFy9eLK4Ag3kKltCKgfJj/+YycMZuWXc8WobO2acGKPD2pNODEGJbcvwUKl68uFF6/vnnpVy5clnWE5KfAQl+GtBciePaY1EybA4tS0KIA1mUv/76a+HmxEFxXedz4dCuZmkVDTv4tz2y5liUvP7HPvn22abi5UHLkhBiG/j0yW/Eqwu30xYWD9YqrdywsCxXH41SgxJwxhFCiK2gUOYBI50swMog/9K+Vmn54YVm4uPpLhtORKvB1OOSUnmKCCFWh0KZB9iD0jp0qB0sswa1En8fT9l1/pY8++MOuXk32UpHJ4SQTCiU+YSe18KlZdWS8scrraVUUW85ciVO+kwPlysxiYV8VEII+RcKZT7bKN3ofC10GpQvLgteDZNyxX3l3PV4efK77XLsas5msyGEkPxCocyn65UWpXWoVrqYLLw3y8i1uCTpM227bDwRbaWjE0JcGQplHuAwr7ahXGARNSVXm+qlJD4lXQbN3C2zd0bYKDeEEFeBQplPGPVqXYoX8VLD3T3dvIJk6ETG/3VCFp93l3R8IISQQoBCmQd0Bs5Xul6tD/pXfvJkIxnZtbb6vPmau7z02165FZ9ig9wQQpwdCmW+Xa+0KW0BBuQf+lAN+aZvI/F218n2s7fksSlb5fDlWJvkhxDivFAo8wktStvSvUGIvNUwXSqX9FPdRp6ctl0W7r1s41wRQpwJCiVxeMr5iSx+tZV0rBOspud6Z8FBGb34sCSmcF5LQkj+oVDmAQ5hZ38EFPFS48O+1amWsvL/2BUhPb/dKscj2d+SEOIEQjl16lSpUqWK+Pr6SqtWrWTXrl3ZbjtjxgzVPmWY8DtrwmAe+8Td3U2Gd6ops15qJaX9feR09F3pNXWb/BZ+wXgge0IIcSShnDdvnowYMULGjh0r+/btk9DQUOnatatER2ffmTwgIEAiIyP16eLFiza0KBnMY2+0rRkkq4a3k4dql1au2DHLjsrLv+2V63c4TiwhpBDnoywsvvzyS3n55Zdl4MCB6vO0adNkxYoV8ssvv8ioUaPM/gZWZEhISI72n5ycrJJGXFymKy41NVWlvJCamvbvchr24yGOiFb+vJ4Hey5DgI+7TH+usczcESGfrj4l645Hyd6vbsmYR+rIIw1D1DVkLzhDPThLOVgG16qH1Bzu301nQ59USkqK+Pn5ycKFC6V379769QMGDJCYmBhZtmyZWdfr4MGDpXz58pKRkSFNmzaVjz76SOrXr2/2GOPGjZPx48dnWT9nzhx17LyQlC7y312Z7xiftUwTb8fUSZfhSrzI72c85EpCpjg2KpkhfapmSIC3rXNGCLElCQkJ8uyzz0psbKzyVNqlUF69elUJ3vbt2yUsLEy//t1335XNmzfLzp07s/wmPDxcTp8+LY0aNVKF+/zzz2XLli1y9OhRqVChQo4syooVK8qNGzcsnhhL3ElKk6YTN6jl/e89KMWKWLeNtCDfptauXSudO3cWLy8vceYypKZnyLTN5+W7zeckLUMnJfy85L3utaVXaFmbW5fOUA/OUg6WwbXqIS4uToKCgu4rlDZ3veYWCKqhqLZp00bq1q0r06dPlwkTJmTZ3sfHRyVTcPLzWgGeBr0OvLy8HfahUBDnwlHKgK9GdK0j3RqWU91HjkXGychFR2Thvqvyf70bSM0y/lbNr7PWg7OUg2VwjXrwyuG+bRrMAyX38PCQqKgoo/X4nNM2SBS0SZMmcubMmULKJXEm6pULkGXDHpB3u9UWXy932Xn+lnSf/I9M+vuEJKT82/ZMCCF2IZTe3t7SrFkzWb9+vX4d2h3x2dBqtER6erocPnxYypYtK9aC/SgdGy8Pd3mtQw1ZN6K9dK5XRrlip20+K52/3CJ/HbrKriSEEPvqHoKuIT/++KPMnDlTjh8/LkOGDJH4+Hh9FGz//v1l9OjR+u0//PBDWbNmjZw7d051J3n++edV9xAE+FgNw+4h9hM8SXJJhRJ+apCCn/o3l/KBRdQQeMPm7Jcnvt8uey/e4vkkhNhHG2Xfvn3l+vXrMmbMGLl27Zo0btxYVq1aJWXKlFHfR0REiLv7v3p++/Zt1Z0E25YoUUJZpAgGqlevnm0GHLDaUUlh0aleGXmgRpD8sOWcTN9yVvZHxMiT34dLj4Yh8t9udaRyqaI8+YS4MDYXSjBs2DCVzLFp0yajz1999ZVKhBQkRbw91Kg+/VpWlC/XnpL5ey7JysPXZO2xKOnboqKaqaRs8SI86YS4IDZ3vToiRm2U9L06FcEBvjLpyUay4o120q5mkKSm62T2jghp/+kmGbvsiETFJdk6i4QQK0OhzAOGHU/penVO6pYNkFmDWskfL7eWllVLSkp6hswMvyjtPt0o45YflasxibbOIiHESlAo84DhGA00KJ2bsOqlZN4rrWXO4FbSokoJNXbsjO0X5MFPN8qIeQc4OwkhLoBdtFESYs/Avd6mRpASza1nbsh3G89K+Lmbsnj/FZUerFVaXn2wmvqernhCnA8KZX5drzQpXQbUdbuapVU6eClGRcn+fSRStpy6rlKdEH95Iayy9G5cXor68NYixFmg6zUPcGpDEloxUKY+11Q2vtNB+odVVqP8nLh2R95fckRafbRexiw7Iqei7vBEEeIE8LU3H/0o3YxsS+KKoI/lh70ayIjOtWTh3svy+84IOX8jXn4Lv6hSyyol5almFaRHo7JSjFYmIQ4JhZKQAiDQz1sGt6smLz1QVbafvSmzdlyQdcejZdeFWyqNWX5EutUPkSebVZA21YPEw53x0oQ4ChTKvEBDkmSDu7ubtK0ZpFJkbKIs3ndFFu27LOeux8vSA1dVCgnwlV6Ny8kjjcpKw/LFeS4JsXMolPnQSdoExBIYyQcj+rzWobocuBSjBPPPg5FyLS5Jpqvh8s5JhRJFpGu9YAm4Y9ztiBBiP1Ao84D+eUalJDmMlm1SqYRKHzxaTzYcj5a/DkXKhhPRcvl2ovy87aK6Fede+ke6NQiRh+sEq0EOfDw9eH4JsQMolIRYEYhf94ZlVUpMSZdNJ6Plr4NXZe2xSImMTZJft11Qqai3hxqoHaL5UJ1gKRPgy3oixEZQKPMV9UpI/gZih2B2qhMkS/+8LEWrN5dNp2/IxpPX5fqdZFlzLEolUL9cgLS9N+hBiyol2U+TECtCocwDbEoiBY23h0jnesHSI7S8ZGTo5OjVOOWa3XAyWg5djlGfkdCu6enupvpxtqleSgln00olxNeLblpCCgsKZR5gEyUp7MjZhhWKq4Spv27cTZZ/Tl+X8LM3VdcTtGvuvXhbpSkbzoi3h7s0KB+gBLNZ5RLStHIJumoJKUAolITYOUHFfOTxJhVUApduJdwTzRtKOKPvJMu+iBiVftp6Xm1TPrCIEsymlQKlUYVAqVvWX/y8ebsTkhd45+QBLYyfbZTEFlQs6afS0y0qqmvx4s0E2ReRaWFCLE9ei5MrMYkq/XnwqvoNxjeoGlRUGpQvrto765fL/I+BEgghlqFQ5gF2DyH21PWkSlBRlZ5ommlx3k1OU4O271PCeVu1bcLqPHs9XqVlBzLFU7M8a4f4S83gYlIjuJjULOOv/nO4PUL+hUKZD2hREnsEIoeuJUga0XeSlGAeuxonR67EquWIWwl6yxOBQ4ZAQJVwBheTaqWLSZVSflKplJ8aRIHD7xFXg0JJiAsQ7O8rwbV95aHawfp1sYmpciIyTk5H35XTUXcy/0ffVV1TNAHdfOq60X4QOFShZBGpUqqoVC7lJ5VL+knloKJSIbCIlC7KxwlxTnhl5wF2DyHOQPEiXtKqWimVDIlJSJEz0XflVBSE845cuBEvF28lqCCilPQMNW4tkjn8PDzk+3PbpXwJPykXWETKBvoq61QtF/eV0v4+HHGIOBwUyjzAAQeIM4MAn+ZVSqpkSHqGTq7GJCqX7YWb8RJxM/M/golgfd5JSpOEdDc5EXVXpez37yWli/ko0VTp3nJwAJYzxTSomLfKB928xB6gUOYBBvMQVwSipUXcGrZ/aty6kyjz/1ojNUNbStSdVCWqV2MT1X8MzxcZk6Qs0piEVJXg5rWEm5tIgK+XlCwK0fSSEn7e95KXlCj67zIEtURRL/H39VLts/4+nqovKiFOJZRTp06Vzz77TK5duyahoaEyZcoUadmyZbbbL1iwQD744AO5cOGC1KxZUz755BPp0aOHWBveioT8i7+vp5T1E3mwZpB4eXllOTXoyoJ2UbSBqnQ38z8icvXr7q2/FZ+iXkixPVJuUYLpqyUvk/+eSoDxv6i3pxT18ZAi3p7i5+0h3u46iU4UiYpLkoCiIn5eHuLp4c5qdnFsLpTz5s2TESNGyLRp06RVq1by9ddfS9euXeXkyZMSHPxv4IHG9u3bpV+/fvLxxx/Lo48+KnPmzJHevXvLvn37pEGDBlbJMydDIiRvXVlg/SGhG4ol0mB5JsLyTJFb8alyOyFFbsenyO0EbZ3BckKKxCakKtcvLFatiwxSZGxeaspTJh7Yov/k7emuRBSi6eeTKahFsOztoYYORPLxdM9MhsueHuLjZbCsvjdYNvjey0NLbkqY8d/L3Z2WsZ1gc6H88ssv5eWXX5aBAweqzxDMFStWyC+//CKjRo3Ksv3kyZOlW7duMnLkSPV5woQJsnbtWvn222/Vb60BBxwgpHCBWGBEIqTckJSargTzTlKmcBoux5lZF5+SJgkp6Sol3luOTUiS1Aw3ybj3RpySlqFSjOTess0v8CBnEVF3N/HydFdj/mrfeUJY723j4SZy64a7rIw9IN5enuozXNEebvi9m7i7uSk3Ov5jH2r53vdY1pL2vbv6LtP17uHuLjCwtX3ok8FnfAe3Of5npsyXpH/XZX52N9gG3xn+Jj09TaISRc7fiBdvLy+z2+D3eOnCi4xTC2VKSors3btXRo8erV/n7u4unTp1kvDwcLO/wXpYoIbAAl26dKnZ7ZOTk1XSiIuLU/9TU1NVygupqWkGy9a/eQoKLe8sA+vBWa4nDA0f6Osugb4Q2NyJrJZ3vHjjGaRz85CE1HQDIU2XRIPPSClp6ZKclpElqfWppuuxfdZ12A6WcGp6Vl8VxFrbNne4y5Hbxn1jHQ9P+ejANotbLPpPK2lUoXiej5DTa9WmQnnjxg1JT0+XMmXKGK3H5xMnTpj9DdoxzW2P9eaAi3b8+PFZ1q9Zs0b8/PzylG+86eDUoY0SN5WjwzLYB85QD85SjnXr1ln8Hvd+0XvJ7Jdoos3aTGsRtMlCDuE9hmYapWzXuUkafndvHfQUy2kG26n93tu3Tr/OTX3OMPnO8DP+67cXS99lWt9awrYqacv3WZeRk+2y2SZ8+za5XEzyTEJCgmO4XgsbWKuGFigsyooVK0qXLl0kICAgT/tMSEmT6g1uyoF9e6Vz585mAxccAe3tmWVgPfB64j3his+muHseRrsWyqCgIPHw8JCoqMzJaTXwOSQkxOxvsD432/v4+KhkCk5+XiuguJeXPFi7jNw9m7/92Assg33gDPXgLOVgGVyjHrxyuG+bxj17e3tLs2bNZP369fp1GRkZ6nNYWJjZ32C94fYAbx7ZbU8IIYTkB5u7XuEWHTBggDRv3lz1nUT3kPj4eH0UbP/+/aV8+fKqrREMHz5c2rdvL1988YU88sgjMnfuXNmzZ4/88MMPNi4JIYQQZ8TmQtm3b1+5fv26jBkzRgXkNG7cWFatWqUP2ImIiFCRsBpt2rRRfSf/97//yXvvvacGHEDEq7X6UBJCCHEtbC6UYNiwYSqZY9OmTVnW9enTRyVCCCGksOHYTIQQQogFKJSEEEKIBSiUhBBCiL23UVoTbZzWnHY0tdQhFqM6YD+O2meMZbAPnKEenKUcLINr1UPcPR3QdCE7XE4o79y5o/5jdB5CCCHkzp07Urx49mPGuunuJ6VOBgY0uHr1qvj7+6sR7POKNhTepUuX8jwUnq1hGewDZ6gHZykHy+Ba9aDT6ZRIlitXzqgbori6RYmTUaFChQLbHyrRUR8KGiyDfeAM9eAs5WAZXKceiluwJDUYzEMIIYRYgEJJCCGEWIBCmUcwI8nYsWPNzkziKLAM9oEz1IOzlINlsA987OxacrlgHkIIISQ30KIkhBBCLEChJIQQQixAoSSEEEIsQKEkhBBCLEChzANTp06VKlWqiK+vr7Rq1Up27dol9sKWLVvkscceUyNNYOQhTGptCGK3MEl22bJlpUiRItKpUyc5ffq00Ta3bt2S5557TnX0DQwMlEGDBsndu3etVoaPP/5YWrRooUZPCg4Olt69e8vJkyeNtklKSpKhQ4dKqVKlpFixYvLkk09KVFSU0TaY9PuRRx4RPz8/tZ+RI0dKWlqaVcrw/fffS6NGjfQdpsPCwuTvv/92mPybY9KkSeqaevPNNx2qHOPGjVP5Nkx16tRxqDKAK1euyPPPP6/yiXu3YcOGsmfPHoe5t6tUqZKlHpBw7u2+HhD1SnLO3Llzdd7e3rpffvlFd/ToUd3LL7+sCwwM1EVFRdnFaVy5cqXu/fff1y1evBjRzLolS5YYfT9p0iRd8eLFdUuXLtUdPHhQ17NnT13VqlV1iYmJ+m26deumCw0N1e3YsUP3zz//6GrUqKHr16+f1crQtWtX3a+//qo7cuSI7sCBA7oePXroKlWqpLt7965+m1dffVVXsWJF3fr163V79uzRtW7dWtemTRv992lpaboGDRroOnXqpNu/f786L0FBQbrRo0dbpQzLly/XrVixQnfq1CndyZMnde+9957Oy8tLlckR8m/Krl27dFWqVNE1atRIN3z4cP16RyjH2LFjdfXr19dFRkbq0/Xr1x2qDLdu3dJVrlxZ9+KLL+p27typO3funG716tW6M2fOOMy9HR0dbVQHa9euVc+ojRs32n09UChzScuWLXVDhw7Vf05PT9eVK1dO9/HHH+vsDVOhzMjI0IWEhOg+++wz/bqYmBidj4+P7o8//lCfjx07pn63e/du/TZ///23zs3NTXflyhWdLcANhjxt3rxZn2eIzoIFC/TbHD9+XG0THh6uPuMmcnd31127dk2/zffff68LCAjQJScn26AUOl2JEiV0P/30k8Pl/86dO7qaNWuqB1v79u31Quko5YBQQhzM4Shl+O9//6tr27Zttt874r09fPhwXfXq1VXe7b0e6HrNBSkpKbJ3717l0jAcOxafw8PDxd45f/68XLt2zSj/GOcQ7mMt//gPl0zz5s3122B7lHPnzp02yXdsbKz6X7JkSfUfdYBpeAzLAVdapUqVjMoB11SZMmX023Tt2lUNtnz06FGr5j89PV3mzp0r8fHxygXraPmHOwzuLsP8AkcqB1yQaI6oVq2acj3ChedIZVi+fLm6J/v06aNcjk2aNJEff/zRYe/tlJQUmT17trz00kvK/Wrv9UChzAU3btxQDz3DigL4jIvU3tHyaCn/+I8b0RBPT08lUrYoI2Z7QZvYAw88IA0aNNDn0dvbW930lsphrpzad9bg8OHDqq0Fo4u8+uqrsmTJEqlXr57D5B9A4Pft26fajU1xlHJALGbMmCGrVq1SbccQlXbt2qlZIxylDOfOnVN5r1mzpqxevVqGDBkib7zxhsycOdMh7+2lS5dKTEyMvPjii/q82XM9uNzsIcSxgDVz5MgR2bp1qzgatWvXlgMHDiiLeOHChTJgwADZvHmzOAqY4mj48OGydu1aFbjmqHTv3l2/jAArCGflypVl/vz5KujFEcALIyzBjz76SH2GRYn7Ytq0aeq6cjR+/vlnVS+w8h0BWpS5ICgoSDw8PLJEYuFzSEiI2DtaHi3lH/+jo6ONvkdUGaLlrF3GYcOGyV9//SUbN240mhoN+YDrBm+klsphrpzad9YAb8g1atSQZs2aKYssNDRUJk+e7DD5hzsM10LTpk2V5YEEof/mm2/UMt7mHaEcpsBqqVWrlpw5c8Zh6gKRrPBGGFK3bl29C9mR7u2LFy/KunXrZPDgwfp19l4PFMpcPvjw0Fu/fr3Rmx4+o+3J3qlataq6oAzzD/8+2ie0/OM/LlY8JDU2bNigyok3cWuAOCSIJFyVODbybQjqwMvLy6gc6D6Ch4ZhOeD6NHwwwDJCWLzpA8da4BwmJyc7TP47duyo8gCrWEuwatDGpy07QjlMQXeIs2fPKvFxlLpA04NpF6lTp04py9iR7m3w66+/Khcw2r017L4eCjVUyEm7hyCSbMaMGSqK7JVXXlHdQwwjsWwJIhQROo2E6v3yyy/V8sWLF/Uh5MjvsmXLdIcOHdL16tXLbAh5kyZNVBj61q1bVcSjNbuHDBkyRIW5b9q0ySicPCEhQb8NQsnRZWTDhg0qlDwsLEwl01DyLl26qC4mq1at0pUuXdpqIf2jRo1SUbrnz59X5xmfEV24Zs0ah8h/dhhGvTpKOd5++211LaEutm3bproXoFsBoqkdpQzonuPp6ambOHGi7vTp07rff/9d5+fnp5s9e7Z+G0e4t9PT09W5RhSvKfZcDxTKPDBlyhRVoehPie4i6JNkL6BPEgTSNA0YMEB9j1DsDz74QFemTBkl+B07dlT9/Ay5efOmunmKFSumQq8HDhyoBNhamMs/EvpWauDmf+2111SXCzwwHn/8cSWmhly4cEHXvXt3XZEiRdSDEQ/M1NRUq5ThpZdeUv3ecI3gZsZ51kTSEfKfU6F0hHL07dtXV7ZsWVUX5cuXV58N+x86QhnAn3/+qYQC922dOnV0P/zwg9H3jnBvr169Wt3Lpvmy93rgNFuEEEKIBdhGSQghhFAoCSGEkLxBi5IQQgixAIWSEEIIsQCFkhBCCLEAhZIQQgixAIWSEEIIsQCFkhBCCLEAhZIQG4Ephnr37m2z8//CCy/oZ6PIjipVqsjXX39tlfxgUGwcb8+ePVY5HiE5hdNsEVIIYDJaS4wdO1bNJJI5Yp/1OXjwoKxcuVLNcWhPkw6888478t///tdocGxCbA2FkpBCIDIyUr88b948GTNmjNHsD5jQGclWTJkyRfr06WPTPJgDM5O8/fbbasb6+vXr2zo7hCjoeiWkEMCUR1oqXry4sjAN10GgTF2vHTp0kNdff13efPNNKVGihJrv8ccff5T4+HgZOHCg+Pv7q/kt//77b6NjYQJfTIKLfeI3cKneuHEj27ylp6eriaQfe+wxo/WYvgjrMJkxpm36/fffs/z2yy+/lIYNG0rRokWlYsWK8tprr6lpqwDyiSmPsG/T2eyx/Z07d5R7FVOoYYorTAaNaaIwV6cGyo0ppebOnZuHs05I4UChJMSOmDlzppogfNeuXUo0hwwZoiy/Nm3ayL59+6RLly5KCBMSEtT2mF/w4YcfVjPeo21v1apVajLbp59+OttjHDp0SGJjY9V8koZAuC9duqQmyobYfffdd1km+nV3d1cTN8PiQ14xn+G7776rvoMYPvPMM2q+QUPw+amnnlJCj98uX75c5s+fryxsiDHaJQ1p2bKl/PPPP/k+l4QUGIU+PwkhLg6mB8P8mqZg6jPMGWg4hVXbtm2N5t8rWrSo7oUXXtCvw7RDuG3Dw8PV5wkTJqj5+Qy5dOlStlMZgSVLlug8PDzUtEwa2Ba/wbyHGsePH1frvvrqq2zLtmDBAl2pUqX0nzHPIfZ99epV9TkqKkrNo4j5IMHrr7+ue/jhh42ObcrkyZN1VapUyfZ7QqwNLUpC7IhGjRrplz08PKRUqVLK1akB1yrQLD0E5cAC1No8kerUqaO+O3v2rNljJCYmio+Pj1HA0fHjx8XT01PNNK+B/QQGBhr9dt26ddKxY0cpX768shBh3d68eVNv4cIaRNsirE0we/Zs5V598MEH9VbrgQMHpHbt2vLGG2/ImjVrsuQPrl9tf4TYAxRKQuwILy8vo88QM8N1mrhlZGSo/2gfRLsixMcwnT59Wi9OpsC1CyFCe2FuuHDhgjz66KNKzBctWiR79+6VqVOnqu8M9zV48GCZMWOG3u2K9lUt302bNpXz58/LhAkTlGDDRQy3rCG3bt2S0qVL5ypvhBQmFEpCHBgID9oL0c6HQB/DhDZDczRu3Fj9P3bsmJH1mJaWpsRPA22IaAPVwHcQ6C+++EJat24ttWrVkqtXr2bZ//PPPy8XL15U7ZE4xoABA4y+R8BP3759VaASIoIhuhBHw+AktLkSYi9QKAlxYIYOHapEpl+/frJ7927lbl29erWy4hDdag5YaxDYrVu36tfBFdqtWzf5z3/+Izt37lSiCMsQblANiG9qaqrqWnLu3DmZNWuWTJs2Lcv+Ebn6xBNPyMiRI1XwUYUKFYyiZv/44w85ceKEnDp1ShYsWKCigA1dvAjkwe8IsRcolIQ4MOXKlZNt27YpUYS4oD0T3UsgPIhQzQ6IoGn3D7hJsb/27dsroXvllVckODhY/31oaKgSuk8++UQaNGigfm/YtcOQQYMGKXfsSy+9ZLQe7Zqffvqpirht0aKFcudi4AMtr+Hh4Soi19QdS4gtcUNEj01zQAixOmgfhBUJ12dYWFiB7x/W5ltvvaVcsxhxJ6fAJQtBfu+99wo8T4TkFY7MQ4gLApfqb7/9ZnFggryAICGMSjRp0iTlxs2NSMIChUUMgSXEnqBFSQgpMMaNGycTJ05UEbfLli2zuyHyCMkLFEpCCCHEAgzmIYQQQixAoSSEEEIsQKEkhBBCLEChJIQQQixAoSSEEEIsQKEkhBBCLEChJIQQQixAoSSEEEIke/4fsDjSHQteY9gAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Atrue = 400 # true value of A\n", "ntrue = 1.1 # true value of n\n", "atrue = 100 # true vale of a\n", "dtrue = 20 # base level of heads\n", "ptrue = np.array([Atrue, ntrue, atrue, dtrue]) # array with true parameter values\n", "pnames = [\"A\", \"n\", \"a\", \"d\"] # names of parameters\n", "hblock = gamma_block(Atrue, ntrue, atrue)\n", "tmax = gamma_tmax(Atrue, ntrue, atrue)\n", "plt.plot(hblock)\n", "plt.xlabel(\"Time (days)\")\n", "plt.ylabel(\"Head response\")\n", "plt.title(f\"Gamma block response with tmax={tmax:.0f} d\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "id": "30e1dfd2-801d-431f-931b-09f5c8fd1a9c", "metadata": { "papermill": { "duration": 0.003864, "end_time": "2026-08-06T13:39:35.090351+00:00", "exception": false, "start_time": "2026-08-06T13:39:35.086487+00:00", "status": "completed" }, "tags": [] }, "source": [ "### Create synthetic observations\n", "Rainfall is used as input series to create a synthetic head series.\n", "The generated head series is purposely not generated with convolution so that it is clear how the head is computed. The computed head at day 1 is the head at the end of day 1 due to rainfall during day 1." ] }, { "cell_type": "code", "execution_count": 5, "id": "b30dc11f-9760-4f19-801e-a0d7d2440a80", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T13:39:35.101362Z", "iopub.status.busy": "2026-08-06T13:39:35.101173Z", "iopub.status.idle": "2026-08-06T13:39:35.105027Z", "shell.execute_reply": "2026-08-06T13:39:35.103781Z" }, "papermill": { "duration": 0.010443, "end_time": "2026-08-06T13:39:35.105822+00:00", "exception": false, "start_time": "2026-08-06T13:39:35.095379+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "def generate_heads(Atrue, ntrue, atrue, dtrue, rain, yearstart, yearend):\n", " \"\"\"yearstart and yearend are strings\"\"\"\n", " step = gamma_block(Atrue, ntrue, atrue)[\n", " 1:\n", " ] # start head computation at end of first day\n", " lenstep = len(step)\n", " h = dtrue * np.ones(len(rain) + lenstep)\n", " for i in range(len(rain)):\n", " h[i : i + lenstep] += rain.iloc[i] * step\n", " head = pd.Series(index=rain.index, data=h[: len(rain)]).loc[yearstart:yearend]\n", " return head" ] }, { "cell_type": "markdown", "id": "5095827c-bd17-47db-9ebc-feea7cd32fbf", "metadata": { "papermill": { "duration": 0.002967, "end_time": "2026-08-06T13:39:35.111779+00:00", "exception": false, "start_time": "2026-08-06T13:39:35.108812+00:00", "status": "completed" }, "tags": [] }, "source": [ "Synthetic heads are generated for the period 1990 - 1995. Computations start in 1980 as a warm-up period. The series with daily rainfall starts in 1980." ] }, { "cell_type": "code", "execution_count": 6, "id": "32f53cc2-f750-45ab-81c6-235bc22e5b39", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T13:39:35.119111Z", "iopub.status.busy": "2026-08-06T13:39:35.118927Z", "iopub.status.idle": "2026-08-06T13:39:35.350665Z", "shell.execute_reply": "2026-08-06T13:39:35.349297Z" }, "papermill": { "duration": 0.236722, "end_time": "2026-08-06T13:39:35.351752+00:00", "exception": false, "start_time": "2026-08-06T13:39:35.115030+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rain = (\n", " pd.read_csv(\"../examples/data/rain_260.csv\", index_col=0, parse_dates=[0]).squeeze()\n", " / 1000\n", ")\n", "head = generate_heads(Atrue, ntrue, atrue, dtrue, rain, \"1990\", \"1994\")\n", "\n", "plt.figure(figsize=(10, 3), layout=\"tight\")\n", "plt.plot(head, \"k.\", label=\"head\", markersize=1)\n", "plt.legend(loc=0)\n", "plt.ylabel(\"head (m)\")\n", "plt.xlabel(\"time (years)\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "id": "8eb98054-48b5-412c-947c-3bd2c64779d2", "metadata": { "papermill": { "duration": 0.004527, "end_time": "2026-08-06T13:39:35.359989+00:00", "exception": false, "start_time": "2026-08-06T13:39:35.355462+00:00", "status": "completed" }, "tags": [] }, "source": [ "### Synthetic heads that contain no errors.\n", "In this first test, it is demonstrated that Pastas finds the correct parameters back" ] }, { "cell_type": "code", "execution_count": 7, "id": "ebb82d71-32dc-4eb5-9a6b-c94de3e3ad53", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T13:39:35.370089Z", "iopub.status.busy": "2026-08-06T13:39:35.369887Z", "iopub.status.idle": "2026-08-06T13:39:35.566518Z", "shell.execute_reply": "2026-08-06T13:39:35.565806Z" }, "papermill": { "duration": 0.201772, "end_time": "2026-08-06T13:39:35.567212+00:00", "exception": false, "start_time": "2026-08-06T13:39:35.365440+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fit report None Fit Statistics\n", "====================================================\n", "nfev 10 EVP 100.00\n", "nobs 1826 R2 1.00\n", "noise False RMSE 0.00\n", "tmin 1990-01-01 00:00:00 AICc -114181.35\n", "tmax 1994-12-31 00:00:00 BIC -114159.33\n", "freq D Obj 0.00\n", "freq_obs None ___ \n", "warmup 3650 days 00:00:00 Interp. No\n", "\n", "Parameters (4 optimized)\n", "====================================================\n", " optimal initial vary\n", "rain_A 400.0 217.313623 True\n", "rain_n 1.1 1.000000 True\n", "rain_a 100.0 10.000000 True\n", "constant_d 20.0 20.885570 True\n" ] } ], "source": [ "ml = ps.Model(oseries=head)\n", "ps.StressModel(ml, rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.solve()" ] }, { "cell_type": "markdown", "id": "b4c6a37e-3a17-4e50-bbb5-df69c94f4a05", "metadata": { "papermill": { "duration": 0.003109, "end_time": "2026-08-06T13:39:35.573522+00:00", "exception": false, "start_time": "2026-08-06T13:39:35.570413+00:00", "status": "completed" }, "tags": [] }, "source": [ "### Synthetic heads that contain uncorrelated errors" ] }, { "cell_type": "markdown", "id": "b38efd84-2568-41c3-9390-2a3f19f55ff9", "metadata": { "papermill": { "duration": 0.004366, "end_time": "2026-08-06T13:39:35.581710+00:00", "exception": false, "start_time": "2026-08-06T13:39:35.577344+00:00", "status": "completed" }, "tags": [] }, "source": [ "Uncorrelated errors with $\\sigma=0.1$ are added to the synthetic heads." ] }, { "cell_type": "code", "execution_count": 8, "id": "be173697-346c-4a92-a0bb-a0e7c5e0acb9", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T13:39:35.590775Z", "iopub.status.busy": "2026-08-06T13:39:35.590369Z", "iopub.status.idle": "2026-08-06T13:39:36.670011Z", "shell.execute_reply": "2026-08-06T13:39:36.668698Z" }, "papermill": { "duration": 1.084502, "end_time": "2026-08-06T13:39:36.670910+00:00", "exception": false, "start_time": "2026-08-06T13:39:35.586408+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head_error = head + generate_correlated_data(len(head), sigx=0.1, rho=0, seed=1)\n", "ml = ps.Model(oseries=head_error)\n", "ps.StressModel(ml, rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.solve(report=False)\n", "\n", "_ = ml.plots.results(figsize=(12, 4))" ] }, { "cell_type": "code", "execution_count": 9, "id": "024ea1f4-f617-4ae8-b486-78ee132d756c", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T13:39:36.687255Z", "iopub.status.busy": "2026-08-06T13:39:36.686931Z", "iopub.status.idle": "2026-08-06T13:39:37.562033Z", "shell.execute_reply": "2026-08-06T13:39:37.561000Z" }, "papermill": { "duration": 0.884609, "end_time": "2026-08-06T13:39:37.563196+00:00", "exception": false, "start_time": "2026-08-06T13:39:36.678587+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head_error = head + generate_correlated_data(len(head), sigx=0.1, rho=0.9, seed=1)\n", "ml = ps.Model(oseries=head_error)\n", "sm = ps.StressModel(ml, rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.solve(report=False)\n", "\n", "_ = ml.plots.results(figsize=(12, 4))" ] }, { "cell_type": "markdown", "id": "14475815-a774-44f9-8952-7459ec89e4c6", "metadata": { "papermill": { "duration": 0.003754, "end_time": "2026-08-06T13:39:37.570724+00:00", "exception": false, "start_time": "2026-08-06T13:39:37.566970+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Perform experiments to test whether the uncertainty estimate of the parameters is reasonable" ] }, { "cell_type": "code", "execution_count": 10, "id": "16e611c6", "metadata": {}, "outputs": [], "source": [ "def build_model(head, rain=rain, return_model=False, add_noise_model=False):\n", " \"\"\"\n", " Function that creates pastas model for given headseries, rain, a linear\n", " recharge model and a Gamma response function and possibly an AR(1) noise model.\n", "\n", " Returns:\n", " Optimal parameters, their estimated standard error, r-squared\n", " \"\"\"\n", "\n", " ml = ps.Model(oseries=head)\n", " ps.StressModel(ml, rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", " if add_noise_model:\n", " ps.ArNoiseModel(ml)\n", " ml.solve(report=False)\n", " if return_model:\n", " return ml\n", " return (\n", " ml.parameters[\"optimal\"].values,\n", " ml.parameters[\"stderr\"].values,\n", " ml.stats.rsq(),\n", " ml.stats.rmse(),\n", " )" ] }, { "cell_type": "markdown", "id": "35aa618c-e9b2-4911-9e52-ec2a6b1df94e", "metadata": { "papermill": { "duration": 0.004381, "end_time": "2026-08-06T13:39:37.612155+00:00", "exception": false, "start_time": "2026-08-06T13:39:37.607774+00:00", "status": "completed" }, "tags": [] }, "source": [ "A numerical experiment is conducted to test whether the Pastas estimates the uncertainty of the parameters correctly. In the experiment, the synthetic head consists of the true head plus an error. Different errors are generated every time. A pastas model is created of the synthetic head series with the introduced error and it is determined whether the true parameters are within the 95% confidence interval of the estimated parameters. The experiment consists of 1000 runs of heads with different random errors. " ] }, { "cell_type": "code", "execution_count": 11, "id": "1038c83e-ff9a-427d-abb0-6fb6ae751137", "metadata": { "editable": true, "execution": { "iopub.execute_input": "2026-08-06T13:39:37.622083Z", "iopub.status.busy": "2026-08-06T13:39:37.621874Z", "iopub.status.idle": "2026-08-06T13:39:37.627843Z", "shell.execute_reply": "2026-08-06T13:39:37.626877Z" }, "papermill": { "duration": 0.012282, "end_time": "2026-08-06T13:39:37.628700+00:00", "exception": false, "start_time": "2026-08-06T13:39:37.616418+00:00", "status": "completed" }, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "def experiment(nexp, nparam, model_func, ptrue, pnames, sigh=0.1, rho=0.0):\n", " \"\"\"\n", " nexp: number of times to run the experiment\n", " nparam: number of parameters to estimate\n", " model_func: function to call (as defined above)\n", " ptrue: array with true values of the parameters\n", " sigh: standard deviation of the errors in the synthetic head\n", " rho: correlation between the errors in the synthetic head\n", " Returns:\n", " p: DataFrame with estiamted parameters for each nexp runs\n", " sig: DataFrame with estimated standard error for each nexp runs\n", " coverage: DataFrame with 1 row and nparam columns with the coverage\n", " of each parameter\n", " \"\"\"\n", " head = generate_heads(Atrue, ntrue, atrue, dtrue, rain, \"1990\", \"1994\")\n", " head_errors = [\n", " head + generate_correlated_data(len(head), sigx=sigh, rho=rho, seed=i)\n", " for i in range(nexp)\n", " ]\n", "\n", " p = np.empty((nexp, nparam))\n", " sig = np.empty((nexp, nparam))\n", " rsq = np.empty(nexp)\n", " rmse = np.empty(nexp)\n", " for i in range(nexp):\n", " if i % 100 == 0:\n", " print(\".\", end=\"\")\n", " p[i], sig[i], rsq[i], rmse[i] = model_func(head_errors[i])\n", " print(\"\\n\")\n", "\n", " coverage = (np.abs(p - ptrue) < 1.96 * sig).sum(0)\n", " p_df = pd.DataFrame(p, columns=pnames)\n", " sig_df = pd.DataFrame(sig, columns=pnames)\n", " cov_df = pd.DataFrame(\n", " coverage[np.newaxis, :] * 100 / nexp,\n", " columns=pnames,\n", " index=[\"coverage percentage\"],\n", " )\n", " return p_df, sig_df, cov_df, rsq, rmse" ] }, { "cell_type": "markdown", "id": "08ac7d5e-409b-4018-baa0-5793f8a567b0", "metadata": { "papermill": { "duration": 0.004513, "end_time": "2026-08-06T13:39:37.637126+00:00", "exception": false, "start_time": "2026-08-06T13:39:37.632613+00:00", "status": "completed" }, "tags": [] }, "source": [ "### Experiment 0. Uncorrelated errors, no noise model\n", "The coverage is pretty good and close to 95% for all parameters. This shows the standard error estimation in `pastas` is correct when the residuals are uncorrelated." ] }, { "cell_type": "code", "execution_count": 12, "id": "577744e3-f278-4e94-a9d6-b32b6b1ef51c", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T13:39:37.648883Z", "iopub.status.busy": "2026-08-06T13:39:37.648675Z", "iopub.status.idle": "2026-08-06T13:39:37.653111Z", "shell.execute_reply": "2026-08-06T13:39:37.650889Z" }, "papermill": { "duration": 0.012796, "end_time": "2026-08-06T13:39:37.654004+00:00", "exception": false, "start_time": "2026-08-06T13:39:37.641208+00:00", "status": "completed" }, "tags": [ "parameters" ] }, "outputs": [], "source": [ "NUMBER_EXPERIMENTS = 1000 # 1000 runs in the experiments in this notebook" ] }, { "cell_type": "code", "execution_count": 13, "id": "5135aebe-00b4-45ec-8ddb-a8b32e8beed0", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T13:39:37.662735Z", "iopub.status.busy": "2026-08-06T13:39:37.662455Z", "iopub.status.idle": "2026-08-06T13:39:41.547765Z" }, "papermill": { "duration": 3.594899, "end_time": "2026-08-06T13:39:41.252606+00:00", "exception": false, "start_time": "2026-08-06T13:39:37.657707+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n" ] }, { "data": { "text/html": [ "
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coverage percentage95.894.695.295.4
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" ], "text/plain": [ " A n a d\n", "coverage percentage 95.8 94.6 95.2 95.4" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# no correlation between errors, no noise model\n", "sigh = 0.1\n", "rho = 0\n", "p, sig, coverage, rsq, rmse = experiment(\n", " nexp=NUMBER_EXPERIMENTS,\n", " nparam=4,\n", " model_func=partial(build_model, add_noise_model=False),\n", " ptrue=ptrue,\n", " pnames=pnames,\n", " sigh=sigh,\n", " rho=0,\n", ")\n", "coverage # number of estimates in 95% uncertainty interval (out of 1000)" ] }, { "cell_type": "markdown", "id": "3dceee4f-bc83-4c2c-b96d-c9e6b9d73b38", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "source": [ "### Experiment 1. Correlated errors with $\\rho=0.9$, no noise model\n", "The first set of experiments are for the case that the standard deviation of the error is $\\sigma=0.1$ and the correlation between errors from one day to the next is $\\phi=0.9$ ($\\alpha\\approx 9.5$ d). \n", "\n", "The coverage is not very good, as expected. The coverage is low, because the standard error is estimated too low when there is large autocorrelation in the residuals. " ] }, { "cell_type": "code", "execution_count": 14, "id": "091720e0-39f0-4f48-9f13-b97ef408b912", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n" ] }, { "data": { "text/html": [ "
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Anad
coverage percentage34.640.938.434.7
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" ], "text/plain": [ " A n a d\n", "coverage percentage 34.6 40.9 38.4 34.7" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# correlation between errors, no noise model\n", "sigh = 0.1\n", "rho = 0.9\n", "p1, sig1, coverage1, rsq1, rmse1 = experiment(\n", " nexp=NUMBER_EXPERIMENTS,\n", " nparam=4,\n", " model_func=partial(build_model, add_noise_model=False),\n", " ptrue=ptrue,\n", " pnames=pnames,\n", " sigh=sigh,\n", " rho=rho,\n", ")\n", "coverage1" ] }, { "cell_type": "markdown", "id": "f1d1d225-537e-4bf2-a64d-a4e8f8db9118", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "source": [ "In fact, the standard error estimate is approximately 4 times too small for this case. As shown below, when the standard error is 4 times larger, the coverage is reasonable. " ] }, { "cell_type": "code", "execution_count": 15, "id": "ad6a3fcb-2244-4d03-b5f2-b5535656faad", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/html": [ "
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Anad
coverage percentage93.397.394.893.1
\n", "
" ], "text/plain": [ " A n a d\n", "coverage percentage 93.3 97.3 94.8 93.1" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coverage1a = (np.abs(p1.values - ptrue) < 1.96 * (4 * sig1.values)).sum(0)\n", "pd.DataFrame(\n", " coverage1a[np.newaxis, :] * 100 / NUMBER_EXPERIMENTS,\n", " columns=pnames,\n", " index=[\"coverage percentage\"],\n", ")" ] }, { "cell_type": "markdown", "id": "ff7153f0-6105-48dd-8859-e995e9916e81", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "source": [ "### Experiment 2. Correlated errors with $\\rho=0.9$, with AR1 noise model\n", "The coverage is much better now as the AR1 noise model is doing a good job. Only the coverage of the $\\alpha$ parameter of the noise model is on the low side. " ] }, { "cell_type": "code", "execution_count": 16, "id": "6959f1f2-1e57-4ba5-91cb-aa3a7a52727d", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n" ] }, { "data": { "text/html": [ "
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Anadalpha
coverage percentage94.694.094.194.689.9
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" ], "text/plain": [ " A n a d alpha\n", "coverage percentage 94.6 94.0 94.1 94.6 89.9" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# correlation between errors, AR1 noise model\n", "sigh = 0.1\n", "rho = 0.9\n", "alphatrue = -1 / np.log(rho)\n", "ptrue2 = np.hstack((ptrue, alphatrue))\n", "pnames2 = pnames + [\"alpha\"]\n", "p2, sig2, coverage2, rsq2, rmse2 = experiment(\n", " nexp=NUMBER_EXPERIMENTS,\n", " nparam=5,\n", " model_func=partial(build_model, add_noise_model=True),\n", " ptrue=ptrue2,\n", " pnames=pnames2,\n", " sigh=sigh,\n", " rho=rho,\n", ")\n", "coverage2" ] }, { "cell_type": "markdown", "id": "d37ce159-0ba7-4ce4-9e34-3873272462b4", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "source": [ "## Parameters are estimated correctly when no noise model is added\n", "In Experiments 1 and 2, the parameters were estimated for synthetic head data with correlated errors in two ways. First, a `pastas` model was used without a noise model and second a `pastas` model as used with a noise model. It was shown that the `pastas` model without a noise model did a poor job in estimating the standard error of the parameters, as expected. But this does not mean that the estimated parameters themselves were biased. On the contrary, the following two graphs demonstrate that the estimated parameters with or without a noise model are essentially similar. The first graph shows a histogram of parameter $A$ with and without the noise model. Note that the two histograms pretty much overlap. The second graph plots the estimated values of $A$ with a noise model vs. the estimated values of $A$ without a noise model. These values plot almost on a straight 45$^\\circ$ line, which indicates that the values of $A$ only differ slightly with or without a noise model." ] }, { "cell_type": "code", "execution_count": 17, "id": "fab8f933-05e1-4647-8de9-c72fbe824738", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 3), layout=\"tight\")\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1)\n", " plt.hist(p1.iloc[:, i], bins=20, density=True)\n", " plt.hist(p2.iloc[:, i], bins=20, density=True, alpha=0.5)\n", " if i == 1:\n", " plt.legend([\"w/o noise model\", \"w/ noise model\"], bbox_to_anchor=(1.05, 1))\n", " plt.title(pnames[i], fontsize=\"small\")" ] }, { "cell_type": "code", "execution_count": 18, "id": "daf1547a-7c32-490d-944e-3fba45ee2ff5", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 6), layout=\"tight\")\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1, aspect=1)\n", " plt.plot(p1.iloc[:, i], p2.iloc[:, i], \".\", markersize=1)\n", " plt.xlabel(\"w/o noise model\")\n", " plt.ylabel(\"w/ noise model\")\n", " plt.title(pnames[i], fontsize=\"small\")" ] }, { "cell_type": "markdown", "id": "18c0ed59-fcaf-4273-bce3-cda50864a6d4", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "source": [ "The ultimate test to determine whether parameters estimated without a noise model are not significantly different from parameters estimated with a noise model is to check whether the parameters estimated without a noise model are within the 95% confidence interval of the parameters estimated with the noise model. The estimates values of $n$ are outside the 95% confidence interval more than 300 times out of 1000. That is quite a bit and is an indication that $n$ cannot be estimated very accurately for this dataset. " ] }, { "cell_type": "code", "execution_count": 19, "id": "007938ad-7a1d-4665-badc-9d4bd67d5a27", "metadata": { "editable": true, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "parameters without noise model within 95% confidence interval with noise model\n", "A, n, a, d\n" ] }, { "data": { "text/plain": [ "array([1000, 662, 965, 1000])" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(\"parameters without noise model within 95% confidence interval with noise model\")\n", "print(\"A, n, a, d\")\n", "(np.abs(p1.values - p2.values[:, :-1]) < 1.96 * sig2.values[:, :-1]).sum(0)" ] }, { "cell_type": "markdown", "id": "46f95e23-7a0a-48eb-acda-1bab40d8d2d5", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "source": [ "## Parameter uncertainty is larger when the correlation factor is larger" ] }, { "cell_type": "markdown", "id": "4c6c801b-d43d-4b0a-9694-808165505fbe", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "source": [ "The experiments are repeated for the case that the standard deviation of the error is still $\\sigma=0.1$ but the correlation between errors from one day to the next is increased to $\\phi=0.99$ ($\\alpha\\approx 99.5$ d). The coverage of the estimated parameter uncertainty is somewhat smaller than 95% when using the AR1 noise model. " ] }, { "cell_type": "code", "execution_count": 20, "id": "e8374abe-f157-4d45-a236-dd2a503af667", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n", "Response tmax for 'rain' > than calibration period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n", "Response tmax for 'rain' > than calibration period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "." ] }, { "name": "stderr", "output_type": "stream", "text": [ "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than calibration period.\n", "Response tmax for 'rain' > than warmup period.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "coverage without noise model\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ " A n a d\n", "coverage percentage 13.3 25.3 15.7 10.4" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n", "coverage with AR1 noise model\n" ] }, { "data": { "text/html": [ "
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Anadalpha
coverage percentage86.794.589.386.671.7
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" ], "text/plain": [ " A n a d alpha\n", "coverage percentage 86.7 94.5 89.3 86.6 71.7" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigh = 0.1\n", "rho = 0.99\n", "p3, sig3, coverage3, rsq3, rmse3 = experiment(\n", " nexp=NUMBER_EXPERIMENTS,\n", " nparam=4,\n", " model_func=partial(build_model, add_noise_model=False),\n", " ptrue=ptrue,\n", " pnames=pnames,\n", " sigh=sigh,\n", " rho=rho,\n", ")\n", "print(\"coverage without noise model\")\n", "display(coverage3)\n", "alphatrue = -1 / np.log(rho)\n", "ptrue2 = np.hstack((ptrue, alphatrue))\n", "p4, sig4, coverage4, rsq4, rmse4 = experiment(\n", " nexp=NUMBER_EXPERIMENTS,\n", " nparam=5,\n", " model_func=partial(build_model, add_noise_model=True),\n", " ptrue=ptrue2,\n", " pnames=pnames2,\n", " sigh=sigh,\n", " rho=rho,\n", ")\n", "print(\"coverage with AR1 noise model\")\n", "display(coverage4)" ] }, { "cell_type": "markdown", "id": "1f2e0e2e-1f49-4dfe-b3c2-71575dfb8a6a", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "source": [ "### It is sometimes difficult to estimate the parameters when the correlation $\\phi$ is very large.\n", "The difficulty lies in the model when no noise model is used. It seems the wrong optimal is sometimes found and it is more difficult to estimate $n$. This requires further investigation. " ] }, { "cell_type": "code", "execution_count": 21, "id": "c1de13c4-506b-482a-92ab-e22794015b2a", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 3), layout=\"tight\")\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1)\n", " plt.hist(p3.iloc[:, i], bins=20, density=True)\n", " plt.hist(p4.iloc[:, i], bins=20, density=True, alpha=0.5)\n", " if i == 1:\n", " plt.legend([\"w/o noise model\", \"w noise model\"], bbox_to_anchor=(1.05, 1))\n", " plt.title(pnames[i], fontsize=\"small\")" ] }, { "cell_type": "code", "execution_count": 22, "id": "d9456256-5552-4601-9f30-7c8ea7dc35da", "metadata": { "editable": true, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 4), layout=\"tight\")\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1, aspect=1)\n", " plt.plot(p3.iloc[:, i], p4.iloc[:, i], \".\", markersize=1)\n", " plt.title(pnames[i], fontsize=\"small\")\n", " plt.xlabel(\"w/o noise model\")\n", " plt.ylabel(\"w/ noise model\")" ] }, { "cell_type": "markdown", "id": "cba022ab-0642-4b83-a9ee-2fbb7ba55c1c", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "source": [ "The parameters estimated without a noise model are sometimes significantly different from parameters estimated with a noise model. Below, it is computed how many times the parameters estimated without a noise model are within the 95% confidence interval of the parameters estimated with the noise model. The largest deviation is indeed for the parameters $n$ and $a$ as could also be seen from the graphs above. " ] }, { "cell_type": "code", "execution_count": 23, "id": "4b556bc6-6090-42ce-8428-98731770eab1", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "array([948, 233, 752, 952])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(np.abs(p3.values - p4.values[:, :-1]) < 1.96 * sig4.values[:, :-1]).sum(0)" ] } ], "metadata": { "kernelspec": { "display_name": "defaultInterpreterPath: 3.13.11.final.0", "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": "3.13.11" }, "mystnb": { "execution_mode": "off" }, "papermill": { "default_parameters": {}, "duration": 10.192449, "end_time": "2026-08-06T13:39:42.277205+00:00", "environment_variables": {}, "exception": null, "input_path": "/home/vonkm/repos/pastas/doc/benchmarks/pastas_uncertainty_benchmark.ipynb", "output_path": "/home/vonkm/repos/pastas/doc/benchmarks/pastas_uncertainty_benchmark.ipynb", "parameters": {}, "start_time": "2026-08-06T13:39:32.084756+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }