{ "cells": [ { "cell_type": "markdown", "id": "ab5196e9-cad0-4814-8a05-61a2b27141fa", "metadata": { "editable": true, "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": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pastas version: 1.7.0b\n", "Python version: 3.10.12\n", "NumPy version: 1.26.4\n", "Pandas version: 2.2.3\n", "SciPy version: 1.14.1\n", "Matplotlib version: 3.9.2\n", "Numba version: 0.60.0\n" ] } ], "source": [ "from platform import system as os_system\n", "from typing import Callable, List, Tuple, Union\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": {}, "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": {}, "outputs": [], "source": [ "def generate_correlated_data(\n", " N: int, sigx: float, rho: float, seed: int = 1\n", ") -> np.ndarray[float]:\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": {}, "source": [ "## Generation of synthetic head series (the truth)" ] }, { "cell_type": "markdown", "id": "f932abe4-f890-4114-a7d2-e256b0401757", "metadata": {}, "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": {}, "outputs": [], "source": [ "def gamma_tmax(A: float, n: float, a: float, cutoff: float = 0.999) -> float:\n", " \"\"\"returns time for which step function equals cutoff * A\"\"\"\n", " return gammaincinv(n, cutoff) * a\n", "\n", "\n", "def gamma_step(\n", " A: float, n: float, a: float, cutoff: float = 0.999\n", ") -> np.ndarray[float]:\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(\n", " A: float, n: float, a: float, cutoff: float = 0.999\n", ") -> np.ndarray[float]:\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": {}, "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": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Atrue = 400 # true value of A\n", "ntrue = 1.1 # true value of n\n", "ntrue = 2\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": {}, "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": {}, "outputs": [], "source": [ "def generate_heads(\n", " Atrue: float,\n", " ntrue: float,\n", " atrue: float,\n", " dtrue: float,\n", " rain: pd.Series,\n", " yearstart: pd.Timestamp,\n", " yearend: pd.Timestamp,\n", ") -> pd.Series:\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[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": {}, "source": [ "Synthetic heads are generated for the period 1990 - 2000. 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": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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\", \"1999\")\n", "#\n", "plt.figure(figsize=(10, 3))\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": {}, "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": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fit report None Fit Statistics\n", "==================================================\n", "nfev 17 EVP 100.00\n", "nobs 3652 R2 1.00\n", "noise False RMSE 0.00\n", "tmin 1990-01-01 00:00:00 AICc -228576.40\n", "tmax 1999-12-31 00:00:00 BIC -228551.60\n", "freq D Obj 0.00\n", "warmup 3650 days 00:00:00 ___ \n", "solver LeastSquares Interp. No\n", "\n", "Parameters (4 optimized)\n", "==================================================\n", " optimal initial vary\n", "rain_A 400.0 217.313623 True\n", "rain_n 2.0 1.000000 True\n", "rain_a 100.0 10.000000 True\n", "constant_d 20.0 20.901710 True\n" ] } ], "source": [ "ml = ps.Model(oseries=head)\n", "sm = ps.StressModel(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.add_stressmodel(sm)\n", "ml.solve()" ] }, { "cell_type": "markdown", "id": "b4c6a37e-3a17-4e50-bbb5-df69c94f4a05", "metadata": {}, "source": [ "### Synthetic heads that contain uncorrelated errors" ] }, { "cell_type": "markdown", "id": "b38efd84-2568-41c3-9390-2a3f19f55ff9", "metadata": {}, "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": {}, "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", "sm = ps.StressModel(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.add_stressmodel(sm)\n", "ml.solve(report=False)\n", "ml.plots.results(figsize=(12, 4));" ] }, { "cell_type": "code", "execution_count": 9, "id": "024ea1f4-f617-4ae8-b486-78ee132d756c", "metadata": {}, "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(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.add_stressmodel(sm)\n", "ml.solve(report=False)\n", "ml.plots.results(figsize=(12, 4));" ] }, { "cell_type": "markdown", "id": "14475815-a774-44f9-8952-7459ec89e4c6", "metadata": {}, "source": [ "## Perform experiments to test whether the uncertainty estimate of the parameters is reasonable" ] }, { "cell_type": "code", "execution_count": 10, "id": "fd89ad72-a894-4012-bc55-f37d2377ea21", "metadata": {}, "outputs": [], "source": [ "def model1(\n", " headseries: pd.Series, rain: pd.Series = rain, returnmodel: bool = False\n", ") -> Union[ps.Model, Tuple[np.ndarray[float], np.ndarray[float], float, float]]:\n", " \"\"\"\n", " Function that creates pastas model for given headseries, rain, a linear\n", " recharge model and a Gamma response function\n", " Returns:\n", " Optimal parameters, their estimated standard error, r-squared\n", " \"\"\"\n", " ml = ps.Model(oseries=headseries)\n", " sm = ps.StressModel(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", " ml.add_stressmodel(sm)\n", " ml.solve(report=False)\n", " if returnmodel:\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": "code", "execution_count": 11, "id": "f28b1b8c-ee4e-446f-bac7-594ef270dc5c", "metadata": {}, "outputs": [], "source": [ "def model2(\n", " headseries: pd.Series, rain: pd.Series = rain, returnmodel: bool = False\n", ") -> Union[ps.Model, Tuple[np.ndarray[float], np.ndarray[float], float, float]]:\n", " \"\"\"\n", " Function that creates pastas model for given headseries, rain, a linear\n", " recharge model, a Gamma response function, and an AR1 noise model\n", " Returns:\n", " Optimal parameters, their estimated standard error, r-squared\n", " \"\"\"\n", " ml = ps.Model(oseries=headseries)\n", " sm = ps.StressModel(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", " ml.add_stressmodel(sm)\n", " nm = ps.ArNoiseModel()\n", " ml.add_noisemodel(nm)\n", " ml.solve(report=False)\n", " if returnmodel:\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": {}, "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": 12, "id": "1038c83e-ff9a-427d-abb0-6fb6ae751137", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "def experiment(\n", " nexp: int,\n", " nparam: int,\n", " model: Callable,\n", " ptrue: np.ndarray[float],\n", " pnames: List[str],\n", " sigh: float = 0.1,\n", " rho: float = 0,\n", " parallel: bool = True,\n", "):\n", " \"\"\"\n", " nexp: number of times to run the experiment\n", " nparam: number of parameters to estimate\n", " model: model 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\", \"1999\")\n", " head_errors = [\n", " head + generate_correlated_data(len(head), sigx=sigh, rho=rho, seed=i)\n", " for i in range(nexp)\n", " ]\n", " if parallel and os_system() == \"Linux\": # Windows and MacOS do not support fork\n", " from concurrent.futures import ProcessPoolExecutor\n", "\n", " with ProcessPoolExecutor() as executor:\n", " p, sig, rsq, rmse = zip(*executor.map(model, head_errors))\n", " p = np.array(p, dtype=float)\n", " sig = np.array(sig, dtype=float)\n", " rsq = np.array(rsq, dtype=float)\n", " rmse = np.array(rmse, dtype=float)\n", " else:\n", " for i in range(nexp):\n", " p = np.empty((nexp, nparam))\n", " sig = np.empty((nexp, nparam))\n", " rsq = np.empty(nexp)\n", " rmse = np.empty(nexp)\n", " if i % 100 == 0:\n", " print(\".\", end=\"\")\n", " p[i], sig[i], rsq[i], rmse[i] = model(head_error[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": {}, "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": 13, "id": "577744e3-f278-4e94-a9d6-b32b6b1ef51c", "metadata": {}, "outputs": [], "source": [ "nexp = 1000 # 1000 runs in the experiments in this notebook" ] }, { "cell_type": "code", "execution_count": 14, "id": "5135aebe-00b4-45ec-8ddb-a8b32e8beed0", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Anad
coverage percentage94.996.496.295.2
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" ], "text/plain": [ " A n a d\n", "coverage percentage 94.9 96.4 96.2 95.2" ] }, "execution_count": 14, "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=nexp, nparam=4, model=model1, ptrue=ptrue, pnames=pnames, sigh=sigh, 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": {}, "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": 15, "id": "091720e0-39f0-4f48-9f13-b97ef408b912", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Anad
coverage percentage33.236.934.832.5
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" ], "text/plain": [ " A n a d\n", "coverage percentage 33.2 36.9 34.8 32.5" ] }, "execution_count": 15, "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=nexp, nparam=4, model=model1, ptrue=ptrue, pnames=pnames, sigh=sigh, rho=rho\n", ")\n", "coverage1" ] }, { "cell_type": "markdown", "id": "f1d1d225-537e-4bf2-a64d-a4e8f8db9118", "metadata": {}, "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": 16, "id": "ad6a3fcb-2244-4d03-b5f2-b5535656faad", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Anad
coverage percentage92.494.693.992.4
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" ], "text/plain": [ " A n a d\n", "coverage percentage 92.4 94.6 93.9 92.4" ] }, "execution_count": 16, "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 / nexp,\n", " columns=pnames,\n", " index=[\"coverage percentage\"],\n", ")" ] }, { "cell_type": "markdown", "id": "ff7153f0-6105-48dd-8859-e995e9916e81", "metadata": {}, "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": 17, "id": "6959f1f2-1e57-4ba5-91cb-aa3a7a52727d", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Anadalpha
coverage percentage94.694.793.994.290.9
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" ], "text/plain": [ " A n a d alpha\n", "coverage percentage 94.6 94.7 93.9 94.2 90.9" ] }, "execution_count": 17, "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=nexp, nparam=5, model=model2, ptrue=ptrue2, pnames=pnames2, sigh=sigh, rho=rho\n", ")\n", "coverage2" ] }, { "cell_type": "markdown", "id": "d37ce159-0ba7-4ce4-9e34-3873272462b4", "metadata": {}, "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": 18, "id": "fab8f933-05e1-4647-8de9-c72fbe824738", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 3))\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\")\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 19, "id": "daf1547a-7c32-490d-944e-3fba45ee2ff5", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 6))\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\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "18c0ed59-fcaf-4273-bce3-cda50864a6d4", "metadata": {}, "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." ] }, { "cell_type": "code", "execution_count": 20, "id": "007938ad-7a1d-4665-badc-9d4bd67d5a27", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "array([1000, 1000, 998, 1000])" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(np.abs(p1.values - p2.values[:, :-1]) < 1.96 * sig2.values[:, :-1]).sum(0)" ] }, { "cell_type": "markdown", "id": "46f95e23-7a0a-48eb-acda-1bab40d8d2d5", "metadata": {}, "source": [ "## Parameter uncertainty is larger when the correlation factor is larger" ] }, { "cell_type": "markdown", "id": "4c6c801b-d43d-4b0a-9694-808165505fbe", "metadata": {}, "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": 21, "id": "e8374abe-f157-4d45-a236-dd2a503af667", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "coverage without noise model\n" ] }, { "data": { "text/html": [ "
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Anad
coverage percentage11.920.118.410.2
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" ], "text/plain": [ " A n a d\n", "coverage percentage 11.9 20.1 18.4 10.2" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "coverage with AR1 noise model\n" ] }, { "data": { "text/html": [ "
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Anadalpha
coverage percentage89.893.090.589.777.7
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" ], "text/plain": [ " A n a d alpha\n", "coverage percentage 89.8 93.0 90.5 89.7 77.7" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigh = 0.1\n", "rho = 0.99\n", "p3, sig3, coverage3, rsq3, rmse3 = experiment(\n", " nexp=nexp, nparam=4, model=model1, ptrue=ptrue, pnames=pnames, sigh=sigh, rho=rho\n", ")\n", "print(\"coverage without noise model\")\n", "display(coverage3)\n", "#\n", "alphatrue = -1 / np.log(rho)\n", "ptrue2 = np.hstack((ptrue, alphatrue))\n", "p4, sig4, coverage4, rsq4, rmse4 = experiment(\n", " nexp=nexp, nparam=5, model=model2, ptrue=ptrue2, pnames=pnames2, sigh=sigh, rho=rho\n", ")\n", "print(\"coverage with AR1 noise model\")\n", "display(coverage4)" ] }, { "cell_type": "markdown", "id": "1f2e0e2e-1f49-4dfe-b3c2-71575dfb8a6a", "metadata": {}, "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": 22, "id": "c1de13c4-506b-482a-92ab-e22794015b2a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 3))\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\")\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 23, "id": "d9456256-5552-4601-9f30-7c8ea7dc35da", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 4))\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\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "cba022ab-0642-4b83-a9ee-2fbb7ba55c1c", "metadata": {}, "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 parameter $n$ as could also be seen from the graphs above. " ] }, { "cell_type": "code", "execution_count": 24, "id": "4b556bc6-6090-42ce-8428-98731770eab1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([985, 716, 878, 985])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(np.abs(p3.values - p4.values[:, :-1]) < 1.96 * sig4.values[:, :-1]).sum(0)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 5 }