{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 4-2: Quantile Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Why quantile regression?\n", "What if we think that the rank order of values is basically the same in two datasets, but we don’t know if they’re linearly related. We can use a quantile regression to model a relationship between two variables without needing to assume anything about the function of that relationship (linear, or otherwise).\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this example we're again considering [SWE](https://www.nrcs.usda.gov/wps/portal/nrcs/detail/null/?cid=nrcseprd1314833) measurements from two sites in California's Sierra Nevada, and want to evaluate the question:\n", "\n", "**Quantile regression**: Could we use SWE measurements at Slide Canyon to predict SWE at Blue Canyon?" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import scipy.stats as stats\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "# we will aslo need this 1d interpolation function\n", "from scipy.interpolate import interp1d" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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yearsBLC_maxSLI_max
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" ], "text/plain": [ " years BLC_max SLI_max\n", "30 2020 355 666\n", "31 2021 340 683\n", "32 2022 441 646\n", "33 2023 1082 2185\n", "34 2024 395 894" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Read in a .csv file\n", "data = pd.read_csv('../data/pillows_example_2024.csv')\n", "data.tail()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot SWE for both sites to take a look at the data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "data.plot(x='years', y='SLI_max', c='r', ax=ax, label='Slide Canyon')\n", "data.plot(x='years', y='BLC_max', c='b', ax=ax, label='Blue Canyon')\n", "\n", "ax.set_title('Timeline of Peak Snow Water Equivalent (SWE)')\n", "ax.set_xlabel('Water Year')\n", "ax.set_ylabel('Peak SWE (mm)');\n", "plt.legend(loc=\"best\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Steps to create a quantile regression model:\n", "\n", "**1)** For each of your two datasets, create an empirical CDF\n", "\n", "We can do this with a custom function like the `cunnane_quantile_array()` function below, which gives us quantile values given an array of numbers.\n", "\n", "However, in this case, we want to be able to \"look up\" any quantile value (even those that lie between data points). For this, we can use `scipy.stats.mstats.mquantiles()` instead.\n", "\n", "Review the documentation for [scipy.stats.mstats.mquantiles](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.mstats.mquantiles.html), recall that the default options give us the Cunnane plotting position. Note how the function handles quantiles as they approach 0 or 1 at the lowest and highest end of our values. How many (quantile) values should we use in the input to this function to create an empirical CDF?" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# This function should be able to accept any one-dimensional numpy array or list, of numbers\n", "# It returns two numpy arrays, one of the sorted numbers, the other of the plotting position\n", "def cunnane_quantile_array(numbers):\n", " '''This function also computes the Cunnane plotting position given an array or list of numbers (rather than a pandas dataframe).\n", " It has two outputs, first the sorted numbers, second the Cunnane plotting position for each of those numbers.\n", " [Steven Pestana, spestana@uw.edu, Oct. 2020]'''\n", " \n", " # 1) sort the data, using the numpy sort function (np.sort())\n", " sorted_numbers = np.sort(numbers)\n", " \n", " # length of the list of numbers\n", " n = len(sorted_numbers) \n", " \n", " # make an empty array, of the same length. below we will add the plotting position values to this array\n", " cunnane_plotting_position = np.empty(n)\n", " \n", " # 2) compute the Cunnane plotting position for each number, using a for loop and the enumerate function\n", " for rank, number in enumerate(sorted_numbers):\n", " cunnane_plotting_position[rank] = ( (rank+1) - (2/5) ) / ( n + (1/5) )\n", " \n", " return sorted_numbers, cunnane_plotting_position" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can create both types of quantile plots and look at them together. When building the quantile regression model, we'll use both." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "\n", "# Here we use the actual values from the dataset to create the plots\n", "BLC_ordered, BLC_quantile = cunnane_quantile_array(data['BLC_max'])\n", "SLI_ordered, SLI_quantile = cunnane_quantile_array(data['SLI_max'])\n", "plt.plot(BLC_ordered, BLC_quantile, 'o', markeredgecolor='b', markerfacecolor='None', markersize=7, label='Blue Canyon Quantile Plot from observed values')\n", "plt.plot(SLI_ordered, SLI_quantile, 'o', markeredgecolor='r', markerfacecolor='None', markersize=7, label='Slide Canyon Quantile Plot from observed values')\n", "\n", "\n", "# We can also create these by picking arbitrary quantile values, then using the scipy.stats.mstats.mquantiles function\n", "quantiles = np.linspace(0,1,100) # 100 quantile values linearly spaced between 0 and 1\n", "plt.plot(stats.mstats.mquantiles(data['BLC_max'], quantiles), quantiles, \n", " 'b.', label='Blue Canyon Quantile Plot from interpolated probabilities', alpha=0.7)\n", "plt.plot(stats.mstats.mquantiles(data['SLI_max'], quantiles), quantiles, \n", " 'r.', label='Slide Canyon Quantile Plot from interpolated probabilities', alpha=0.7)\n", "\n", "plt.ylabel('Quantile')\n", "plt.xlabel('Peak SWE (mm)')\n", "plt.xlim((0,2500))\n", "plt.ylim((0,1))\n", "plt.title('Quantiles of SWE data')\n", "plt.legend(loc=\"best\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**2)** Use the two empirical CDFs as a way of looking-up (or mapping) values from the predictor to the predictand, by matching which physical value corresponds to the same quantile.\n", "\n", "The example below does this with one data point, where we start with a value of SWE at Slide Canyon, look up its quantile, then find the corresponding SWE value at Blue Canyon." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "In the empirical Slide Canyon CDF, a value of 1023.0 mm SWE (the median) corresponds to a quantile of 0.5\n" ] } ], "source": [ "# This is our empirical cdf of the Slide Canyon data, which also includes values down to 0 and up to 1.\n", "SLI_quantile = np.linspace(0,1,100)\n", "SLI_ordered = stats.mstats.mquantiles(data['SLI_max'], SLI_quantile)\n", "\n", "# When Slide Canyon has SWE equal to it's median, how much snow can we expect at Blue Canyon?\n", "SLI_test = data['SLI_max'].median()\n", "\n", "# Create a linear interpolation object based on these values (this lets us look up any value, x, and get back the y value)\n", "f_SLI = interp1d(SLI_ordered, SLI_quantile)\n", "SLI_test_quantile = f_SLI(SLI_test)\n", "\n", "print('In the empirical Slide Canyon CDF, a value of {} mm SWE (the median) corresponds to a quantile of {}'.format(SLI_test, np.round(SLI_test_quantile,2)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualize this in a plot" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "\n", "# We can also create these by picking arbitrary quantile values, then using the scipy.stats.mstats.mquantiles function\n", "quantiles = np.linspace(0,1,100) # 100 quantile values linearly spaced between 0 and 1\n", "plt.plot(stats.mstats.mquantiles(data['BLC_max'], quantiles), quantiles, \n", " 'b.', label='Blue Canyon Quantile Plot from interpolated probabilities', alpha=0.7)\n", "plt.plot(stats.mstats.mquantiles(data['SLI_max'], quantiles), quantiles, \n", " 'r.', label='Slide Canyon Quantile Plot from interpolated probabilities', alpha=0.7)\n", "\n", "# Plot the test point value\n", "plt.plot(SLI_test,SLI_test_quantile,'D', markerfacecolor='m', markeredgecolor='k',markersize=10, label='SLI_test ({},{})'.format(SLI_test, np.round(SLI_test_quantile,2)))\n", "# Plot a line from the x-axis to the test point\n", "plt.plot([SLI_test, SLI_test], [0, SLI_test_quantile], c='m', linestyle='-')\n", "# Plot a line from the test point to the y-axis\n", "plt.plot([0, SLI_test], [SLI_test_quantile, SLI_test_quantile], c='k', linestyle='-')\n", "\n", "plt.ylabel('Quantile')\n", "plt.xlabel('Peak SWE (mm)')\n", "plt.xlim((0,2500))\n", "plt.ylim((0,1))\n", "plt.title('Quantiles of SWE data')\n", "plt.legend(loc=\"best\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that our test value corresponds to the median value at Slide Canyon, quantile value 0.5. \n", "\n", "(Yes, you would hope so, since I defined it as the median to begin with, but it's always best practice to start coding with a situation where you know the right answer.)\n", "\n", "Now, we need to take this Slide Canyon quantile value (0.5) and find the Blue Canyon SWE value that corresponds to its same quantile value (finding the Blue Canyon median in this case)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first need to create an interpolation object that lets us translate from Blue Canyon quantile values to Blue Canyon SWE values:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "In the empirical Blue Canyon CDF, a quantile of 0.5 corresponds to a SWE value of 337.9733333333333 mm SWE (the median)\n" ] } ], "source": [ "# This is our empirical cdf of the Blue Canyon data, which also includes values down to 0 and up to 1.\n", "BLC_quantile = np.linspace(0,1,100)\n", "BLC_ordered = stats.mstats.mquantiles(data['BLC_max'], BLC_quantile)\n", "\n", "# Create a linear interpolation object based on these values (this lets us look up any value, y, and get back the x value) \n", "# *note we've reversed the order of quantiles and SWE compared the the first interpolation object we created\n", "g_BLC = interp1d(BLC_quantile, BLC_ordered)\n", "\n", "# So if we look up a quantile value in our function g_BLC()\n", "BLC_test = g_BLC(SLI_test_quantile)\n", "\n", "print('In the empirical Blue Canyon CDF, a quantile of {} corresponds to a SWE value of {} mm SWE (the median)'.format(np.round(SLI_test_quantile,2), BLC_test))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualize the complete problem:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "\n", "# We can also create these by picking arbitrary quantile values, then using the scipy.stats.mstats.mquantiles function\n", "quantiles = np.linspace(0,1,100) # 100 quantile values linearly spaced between 0 and 1\n", "plt.plot(stats.mstats.mquantiles(data['BLC_max'], quantiles), quantiles, \n", " 'b.', label='Blue Canyon Quantile Plot from interpolated probabilities', alpha=0.7)\n", "plt.plot(stats.mstats.mquantiles(data['SLI_max'], quantiles), quantiles, \n", " 'r.', label='Slide Canyon Quantile Plot from interpolated probabilities', alpha=0.7)\n", "\n", "# Plot the Slide Canyon test point value\n", "plt.plot(SLI_test,SLI_test_quantile,'D', markerfacecolor='m', markeredgecolor='k',markersize=10, label='SLI_test ({},{})'.format(SLI_test, np.round(SLI_test_quantile,2)))\n", "# Plot a line from the x-axis to the test point\n", "plt.plot([SLI_test, SLI_test], [0, SLI_test_quantile], c='m', linestyle='-')\n", "# Plot a line from the test point to the y-axis\n", "plt.plot([0, SLI_test], [SLI_test_quantile, SLI_test_quantile], c='k', linestyle='-')\n", "\n", "# Plot the Blue Canyon test point value\n", "plt.plot(BLC_test,SLI_test_quantile,'D', markerfacecolor='c', markeredgecolor='k',markersize=10, label='BLC_test ({},{})'.format(BLC_test, np.round(SLI_test_quantile,2)))\n", "# Plot a line from the test point to the x-axis\n", "plt.plot([BLC_test, BLC_test], [0, SLI_test_quantile], c='c', linestyle='-')\n", "\n", "plt.ylabel('Quantile')\n", "plt.xlabel('Peak SWE (mm)')\n", "plt.xlim((0,2500))\n", "plt.ylim((0,1))\n", "plt.title('Quantiles of SWE data')\n", "plt.legend(loc=\"best\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "## Aplly to full dataset\n", "\n", "Now that we've walked through a single-point example, we can apply these steps efficiently to the whole dataset, starting from the beginning:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1) Create empirical CDFs for both data sets" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "quantiles = np.linspace(0,1,100)\n", "\n", "# This is our empirical cdf of the Slide Canyon data, which also includes values down to 0 and up to 1.\n", "SLI_ordered = stats.mstats.mquantiles(data['SLI_max'], quantiles)\n", "\n", "# This is our empirical cdf of the Blue Canyon data, which also includes values down to 0 and up to 1.\n", "BLC_ordered = stats.mstats.mquantiles(data['BLC_max'], quantiles)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2) Use the CDFs to \"look up\" SWE from Slide Canyon to predict SWE in Blue Canyon" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# Create our interpolation function for looking up a quantile given a value of SWE at Slide Canyon\n", "f_SLI = interp1d(SLI_ordered, quantiles)\n", "# Create our interpolation function for looking up SWE at Blue Canyon given a quantile\n", "g_BLC = interp1d(quantiles, BLC_ordered)\n", "\n", "# Now, we can create a prediction for every value in the Slide Canyon dataset to come up with a matching prediction for the Blue Canyon dataset\n", "BLC_predicted=g_BLC( f_SLI( data['SLI_max'] ) )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the results:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# And we can see how well this did by making a time series plot of our actual and predicted values\n", "# Original data:\n", "plt.figure(figsize=(10,5))\n", "plt.plot(data['years'],data['SLI_max'],'b-', label='Slide Canyon Observed');\n", "plt.plot(data['years'],data['BLC_max'],'r-', label='Blue Canyon Observed');\n", "\n", "# Predicted with linear regression between Slide Canyon and Blue Canyon\n", "plt.plot(data['years'],BLC_predicted,'k--', label='Blue Canyon Predicted from Quantile Regression')\n", "plt.legend()\n", "plt.title('Timeline of Peak Snow Water Equivalent (SWE)')\n", "plt.xlabel('Water Year')\n", "plt.ylabel('Peak SWE (mm)');\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare the results of the quantile regression with the results of the linear regression in the previous lab.\n", "\n", "Which do you think is the best approach here and why?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Why you should not do statistics in the absense of physically-based science (from Professor Jessica Lundquist)\n", "What you see above is that the quantile mapping forces the rank order of the predicted timeseries to match the rank order of the prectictor time series. In this particular case, that isn't always the best idea. Blue Canyon is at a much lower elevation, and in warmer winters, Blue Canyon will get rain at times when Slide Canyon gets snow. In those years, any attempt at correlation falls apart. Thus, we would want to add a predictor variable that had something about temperature or rain vs snow (which hasn't yet been provided in these examples)." ] }, { "cell_type": "code", "execution_count": null, "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }