{ "cells": [ { "cell_type": "markdown", "id": "computational-poverty", "metadata": {}, "source": [ "**Developed by:** [Georgii Bocharov](https://github.com/georgebv)\n", "\n", "**E-Mail:** bocharovgeorgii@gmail.com\n", "\n", "**pyextremes:** https://github.com/georgebv/pyextremes\n", "\n", "# Introduction\n", "This notebook demonstrates multiple common methods used to assist when selecting optimal threshold value for the peak-over-threshold extreme value extraction method.\n", "\n", "# Set up the environment\n", "First, we need to setup the environment. Let's import the `pyextremes` library:" ] }, { "cell_type": "code", "execution_count": 1, "id": "historic-vermont", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pyextremes 2.0.1\n" ] } ], "source": [ "import pyextremes\n", "print(\"pyextremes\", pyextremes.__version__)" ] }, { "cell_type": "markdown", "id": "abstract-discharge", "metadata": {}, "source": [ "Now, let's import other packages required for this notebook:" ] }, { "cell_type": "code", "execution_count": 2, "id": "controlled-stuart", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "markdown", "id": "serious-czech", "metadata": {}, "source": [ "# Load the data\n", "Data used in this tutorial was obtained from the New York City [the Battery](https://tidesandcurrents.noaa.gov/stationhome.html?id=8518750) tidal station. Data for this station was extracted using the [coastlib](https://github.com/georgebv/coastlib) library which provides an interface to the [NOAA CO-OPS API](https://tidesandcurrents.noaa.gov/api/). Let's load it and pre-process (discussed in more detail in [this tutorial](https://nbviewer.jupyter.org/github/georgebv/pyextremes-notebooks/blob/master/notebooks/EVA%20basic.ipynb))." ] }, { "cell_type": "code", "execution_count": 3, "id": "passive-testimony", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Date-Time (GMT)\n", "1926-11-20 05:00:00 -0.411120\n", "1926-11-20 06:00:00 -0.777120\n", "1926-11-20 07:00:00 -1.051120\n", "1926-11-20 08:00:00 -1.051121\n", "1926-11-20 09:00:00 -0.808121\n", "Name: Water Elevation [m NAVD88], dtype: float64" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = (\n", " pd\n", " .read_csv(\"../../data/battery_wl.csv\", index_col=0, parse_dates=True, squeeze=True)\n", " .sort_index(ascending=True)\n", " .astype(float)\n", " .dropna()\n", " .loc[pd.to_datetime(\"1925\"):]\n", ")\n", "data = data - (data.index.array - pd.to_datetime(\"1992\")) / pd.to_timedelta(\"365.2425D\") * 2.87e-3\n", "data.head()" ] }, { "cell_type": "markdown", "id": "expired-combination", "metadata": {}, "source": [ "# Mean residual life plot\n", "The mean residual life plot should be approximately linear above a threshold for which the Generalized Pareto Distribution model is valid. The strategy is to select the smallest (largest for `extremes_type=\"low\"`) threshold value immediately above (below for `extremes_type=\"low\"`) which the plot is approximately linear." ] }, { "cell_type": "code", "execution_count": 4, "id": "committed-annual", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function plot_mean_residual_life in module pyextremes.tuning.threshold_selection:\n", "\n", "plot_mean_residual_life(ts: pandas.core.series.Series, thresholds=None, extremes_type: str = 'high', alpha: float = 0.95, figsize: tuple = (8, 5)) -> tuple\n", " Plot mean residual life for given threshold values.\n", " \n", " The mean residual life plot should be approximately linear above a threshold\n", " for which the Generalized Pareto Distribution model is valid.\n", " The strategy is to select the smallest (largest for extremes_type='low')\n", " threshold value immediately above (below for extremes_type='low')\n", " which the plot is approximately linear.\n", " \n", " Parameters\n", " ----------\n", " ts : pandas.Series\n", " Time series of the signal.\n", " thresholds : array-like, optional\n", " An array of thresholds for which the mean residual life plot is plotted.\n", " If None (default), plots mean residual life for 100 equally-spaced thresholds\n", " between 90th (10th if extremes_type='low') percentile\n", " and 10th largest (smallest if extremes_type='low') value in the series.\n", " extremes_type : str, optional\n", " high (default) - extreme high values\n", " low - extreme low values\n", " alpha : float, optional\n", " Confidence interval width in the range (0, 1), by default it is 0.95.\n", " If None, then confidence interval is not shown.\n", " figsize : tuple, optional\n", " Figure size in inches in format (width, height).\n", " By default it is (8, 5).\n", " \n", " Returns\n", " -------\n", " figure : matplotlib.figure.Figure\n", " Figure object.\n", " axes : matplotlib.axes._axes.Axes\n", " Axes object.\n", "\n" ] } ], "source": [ "help(pyextremes.plot_mean_residual_life)" ] }, { "cell_type": "code", "execution_count": 5, "id": "grave-boards", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pyextremes.plot_mean_residual_life(ts=data)" ] }, { "cell_type": "markdown", "id": "motivated-scholar", "metadata": {}, "source": [ "Mean residual life plots are notoriously hard to interpret. Threshold selection should never be based soleley on this plot and considerable amount of experience is required to develop intuition required to read such plots. The plot above indicates that the region of thresholds where the linearity condition is approximately met appears to lie in the 1.2 to 1.6 range.\n", "\n", "# Parameter stability plot\n", "The parameter stability plot shows shape and modified scale parameters of the Generalized Pareto Distribution (GPD). Both shape and modified scale parameters should be approximately constant above a threshold for which the GPD model is valid. The strategy is to select the smallest (largest for `extremes_type=\"low\"`) threshold value immediately above (below for `extremes_type=\"low\"`) which the GPD parameters are approximately constant." ] }, { "cell_type": "code", "execution_count": 6, "id": "excessive-funds", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function plot_parameter_stability in module pyextremes.tuning.threshold_selection:\n", "\n", "plot_parameter_stability(ts: pandas.core.series.Series, thresholds=None, r: Union[str, pandas._libs.tslibs.timedeltas.Timedelta] = '24H', extremes_type: str = 'high', alpha: Union[float, NoneType] = None, n_samples: int = 100, figsize: tuple = (8, 5)) -> tuple\n", " Plot parameter stability plot for given threshold values.\n", " \n", " The parameter stability plot shows shape and modified scale parameters\n", " of the Generalized Pareto Distribution (GPD).\n", " Both shape and modified scale parameters should be approximately constant above\n", " a threshold for which the GPD model is valid.\n", " The strategy is to select the smallest (largest for extremes_type='low')\n", " threshold value immediately above (below for extremes_type='low')\n", " which the GPD parameters are approximately constant.\n", " \n", " Parameters\n", " ----------\n", " ts : pandas.Series\n", " Time series of the signal.\n", " thresholds : array-like, optional\n", " An array of thresholds for which the mean residual life plot is plotted.\n", " If None (default), plots mean residual life for 100 equally-spaced thresholds\n", " between 90th (10th if extremes_type='low') percentile\n", " and 10th largest (smallest if extremes_type='low') value in the series.\n", " r : str or pandas.Timedelta, optional\n", " Duration of window used to decluster the exceedances.\n", " By default r='24H' (24 hours).\n", " extremes_type : str, optional\n", " high (default) - extreme high values\n", " low - extreme low values\n", " alpha : float, optional\n", " Confidence interval width in the range (0, 1).\n", " If None (default), then confidence interval is not shown.\n", " n_samples : int, optional\n", " Number of bootstrap samples used to estimate\n", " confidence interval bounds (default=100).\n", " Ignored if `alpha` is None.\n", " figsize : tuple, optional\n", " Figure size in inches in format (width, height).\n", " By default it is (8, 5).\n", " \n", " Returns\n", " -------\n", " figure : matplotlib.figure.Figure\n", " Figure object.\n", " axes : matplotlib.axes._axes.Axes\n", " Axes object.\n", "\n" ] } ], "source": [ "help(pyextremes.plot_parameter_stability)" ] }, { "cell_type": "code", "execution_count": 7, "id": "sharing-africa", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " (,\n", " ))" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pyextremes.plot_parameter_stability(ts=data)" ] }, { "cell_type": "markdown", "id": "together-dealing", "metadata": {}, "source": [ "The parameter stability plot shown above indicates the distribution gets unstable after threshold value of 1.6, which indicates that threshold higher than 1.6 do not provide sufficient number of exceedances. The region of stability appears to be confined in the 1.2 to 1.6 range of threshold values.\n", "\n", "# Return value stability plot\n", "The return value stability plot shows return values for given return period for given thresholds. The purpose of this plot is to investigate statibility and sensitivity of the Generalized Pareto Distribution model to threshold value. Threshold value selection should still be guided by the mean residual life plot and the parameter stability plot. This plot should be used as additional check.\n", "\n", "See https://docs.scipy.org/doc/scipy/reference/stats.html for a full list of supported distributions." ] }, { "cell_type": "code", "execution_count": 8, "id": "fourth-patient", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function plot_return_value_stability in module pyextremes.tuning.threshold_selection:\n", "\n", "plot_return_value_stability(ts: pandas.core.series.Series, return_period, return_period_size: Union[str, pandas._libs.tslibs.timedeltas.Timedelta] = '1Y', thresholds=None, r: Union[str, pandas._libs.tslibs.timedeltas.Timedelta] = '24H', extremes_type: str = 'high', distributions: List[Union[str, scipy.stats._distn_infrastructure.rv_continuous]] = ['genpareto', 'expon'], alpha: Union[float, NoneType] = None, n_samples: int = 100, figsize: tuple = (8, 5)) -> tuple\n", " Plot return value stability plot for given threshold values.\n", " \n", " The return value stability plot shows return values for given return period\n", " for given thresholds.\n", " The purpose of this plot is to investigate statibility and sensitivity of the\n", " Generalized Pareto Distribution model to threshold value.\n", " Threshold value selection should still be guided by the mean residual life plot\n", " and the parameter stability plot. This plot should be used as additional check.\n", " \n", " Parameters\n", " ----------\n", " ts : pandas.Series\n", " Time series of the signal.\n", " return_period : number\n", " Return period.\n", " Given as a multiple of `return_period_size`.\n", " return_period_size : str or pandas.Timedelta, optional\n", " Size of return period (default='1Y').\n", " If set to '30D', then a return period of 12\n", " would be roughly equivalent to a 1 year return period (360 days).\n", " thresholds : array-like, optional\n", " An array of thresholds for which the mean residual life plot is plotted.\n", " If None (default), plots mean residual life for 100 equally-spaced thresholds\n", " between 90th (10th if extremes_type='low') percentile\n", " and 10th largest (smallest if extremes_type='low') value in the series.\n", " r : str or pandas.Timedelta, optional\n", " Duration of window used to decluster the exceedances.\n", " By default r='24H' (24 hours).\n", " extremes_type : str, optional\n", " high (default) - extreme high values\n", " low - extreme low values\n", " distributions : list, optional\n", " List of distributions for which the return value curves are plotted.\n", " By default these are \"genpareto\" and \"expon\".\n", " A distribution must be either a name of distribution from with scipy.stats\n", " or a subclass of scipy.stats.rv_continuous.\n", " See https://docs.scipy.org/doc/scipy/reference/stats.html\n", " alpha : float, optional\n", " Confidence interval width in the range (0, 1).\n", " If None (default), then confidence interval is not shown.\n", " n_samples : int, optional\n", " Number of bootstrap samples used to estimate\n", " confidence interval bounds (default=100).\n", " Ignored if `alpha` is None.\n", " figsize : tuple, optional\n", " Figure size in inches in format (width, height).\n", " By default it is (8, 5).\n", " \n", " Returns\n", " -------\n", " figure : matplotlib.figure.Figure\n", " Figure object.\n", " axes : matplotlib.axes._axes.Axes\n", " Axes object.\n", "\n" ] } ], "source": [ "help(pyextremes.plot_return_value_stability)" ] }, { "cell_type": "code", "execution_count": 9, "id": "different-cruise", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pyextremes.plot_return_value_stability(\n", " ts=data,\n", " return_period=100,\n", " return_period_size=\"365.2425D\",\n", " thresholds=np.linspace(1.2, 1.6, 50),\n", " r=\"24H\",\n", " extremes_type=\"high\",\n", " distributions=[\"genpareto\", \"expon\"],\n", " alpha=0.95, # Set to None to get faster results\n", " n_samples=100,\n", ")" ] }, { "cell_type": "markdown", "id": "clinical-composer", "metadata": {}, "source": [ "The plot above indicates that extreme values above the threshold value of 1.45 appear to be constant for both distributions.\n", "\n", "**CAUTION:** while it may be tempting to select a threshold value which gives return value desired for a particular analysis outcome, it is not a sound analysis procedure and some may call it (for a good reason) \"cooking the books\"." ] }, { "cell_type": "code", "execution_count": null, "id": "interpreted-sydney", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 5 }