{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "*This notebook contains material from [Controlling Natural Watersheds](https://jckantor.github.io/Controlling-Natural-Watersheds);\n", "content is available [on Github](https://github.com/jckantor/Controlling-Natural-Watersheds.git).*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [USGS Surface Water Daily Data](http://nbviewer.jupyter.org/github/jckantor/Controlling-Natural-Watersheds/blob/master/notebooks/A.07-USGS_Surface_Water_Daily_Data.ipynb) | [Contents](toc.ipynb) | [Rule Curves for Rainy and Namakan Lakes](http://nbviewer.jupyter.org/github/jckantor/Controlling-Natural-Watersheds/blob/master/notebooks/A.09-Rule_Curves_for_Rainy_and_Namakan_Lakes.ipynb) >

\"Open

\"Download\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Stage-Volume Relationships for Rainy and Namakan Lakes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Stage-Volume relationships expresses the relationship between lake surface elevation and the amount of water stored in the lake. For most flow and rule curve calculations, the most important feature of the stage-volume relationship is the change in lake volume associated with a change in lake volume.\n", "\n", "This notebook displays stage-volume relationship data for Rainy Lake and Namakan Reservoir obtained from\n", "\n", ">Thompson, A.F. (2013). Rainy and Namakan Hydrologic Response Model Documentation. Prepared for the Evaluation of the International Joint Commission 2000 Order for Rainy and Namakan Lakes and Rainy River.\n", "\n", "The data is fitted to a polynomial function to create a dictionary of interpolation functions \n", "\n", "```\n", "volume[key]()\n", "```\n", "\n", "and differentiated to create a dictionary of area functions \n", "\n", "```\n", "area[key]()\n", "```\n", "\n", "These are pickled and stored in the data directory in files of the same name." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initialization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Initilization of the graphics system and computational modules used in this IPython notebook." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Display graphics inline with the notebook\n", "%matplotlib inline\n", "\n", "# Standard Python modules\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import os\n", "import datetime\n", "import seaborn as sns\n", "sns.set_context('talk')\n", "\n", "# Modules to display images and data tables\n", "from IPython.display import Image\n", "from IPython.core.display import display\n", "\n", "# Data directory\n", "dir = '../data/'\n", "img = '../images/'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Stage-Volume Data - Thompson" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following data is extracted from Tables 1 and 2 of the Thompson report. Evidently these data were extracted from a 1932 stage/volume curve derived from earlier hydrographic measurements of the lakes.\n", "\n", "The data is stored here in a dictionary constructed as key, dataframe pairs. (this is the old data. We want to add a new data set, then compare new versus old estimates of area as function of lake level.)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data = {}\n", "\n", "data['Rainy Lake'] = pd.DataFrame(\n", " [[335.0, 112.67],\n", " [336.0, 798.00],\n", " [336.5, 1176.42],\n", " [337.0, 1577.25],\n", " [337.5, 2002.06],\n", " [338.0, 2450.57],\n", " [339.0, 3416.85],\n", " [340.0, 4458.97]],\n", " columns = ['stage','volume'])\n", "\n", "data['Namakan Reservoir'] = pd.DataFrame(\n", " [[337.0, 65.33],\n", " [338.0, 259.95],\n", " [338.5, 364.20],\n", " [339.0, 475.58],\n", " [339.5, 592.46],\n", " [340.0, 712.28],\n", " [340.5, 836.56],\n", " [341.0, 966.17],\n", " [341.5, 1099.79],\n", " [342.0, 1239.68],\n", " [343.0, 1540.75]],\n", " columns = ['stage','volume'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Everything from this point on should be automatic and require no editing." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAn8AAAGNCAYAAABg/Bd0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.cm as cm\n", "colors = dict(zip(data.keys(),cm.rainbow(np.linspace(0, 1, len(data)))))\n", "\n", "plt.figure(figsize=(10,6))\n", "axes = plt.subplot()\n", "for key in data.keys():\n", " data[key].plot(\n", " x = 'stage', \n", " y = 'volume', \n", " kind='scatter', \n", " color = colors[key],\n", " s=50, marker='d', \n", " ax = axes)\n", "\n", "plt.xlabel('Stage [m]')\n", "plt.ylabel('Volume [million m^3]')\n", "plt.title('Stage-Volume Relationship - Thompson')\n", "plt.legend(data.keys(),loc='upper left')\n", "plt.xlim([334,344])\n", "plt.ylim([0,5000]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Stage-Volume Data - Morin" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data['Rainy Lake - Morin'] = pd.DataFrame(\n", " [[335.5, 7194.67197, 719.271],\n", " [336.0, 7570.67329, 770.153],\n", " [336.5, 7957.68641, 794.916],\n", " [337.0, 8358.73022, 833.198],\n", " [337.5, 8779.56914, 919.860],\n", " [338.0, 9244.10878, 966.400],\n", " [338.6, 9826.74905, 1011.093],\n", " [339.3, 10533.87720, 1048.357]],\n", " columns = ['stage','volume', 'area'])\n", "\n", "dV = 7570.67329 - 798.0\n", "data['Rainy Lake - Morin']['volume'] += -dV\n", "\n", "data['Namakan Reservoir - Morin'] = pd.DataFrame(\n", " [[337.0, 65.33],\n", " [338.0, 259.95],\n", " [338.5, 364.20],\n", " [339.0, 475.58],\n", " [339.5, 592.46],\n", " [340.0, 712.28],\n", " [340.5, 836.56],\n", " [341.0, 966.17],\n", " [341.5, 1099.79],\n", " [342.0, 1239.68],\n", " [343.0, 1540.75]],\n", " columns = ['stage','volume'])" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(334, 344)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAn8AAAGNCAYAAABg/Bd0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.cm as cm\n", "colors = dict(zip(data.keys(),cm.rainbow(np.linspace(0, 1, len(data)))))\n", "\n", "plt.figure(figsize=(10,6))\n", "axes = plt.subplot()\n", "for key in data.keys():\n", " data[key].plot(\n", " x = 'stage', \n", " y = 'volume', \n", " kind='scatter', \n", " color = colors[key],\n", " s=50, marker='d', \n", " ax = axes)\n", "\n", "plt.xlabel('Stage [m]')\n", "plt.ylabel('Volume [million m^3]')\n", "plt.title('Stage-Volume Relationship - Thompson')\n", "plt.legend(data.keys(),loc='upper left')\n", "plt.xlim([334,344])\n", "#plt.ylim([0,5000]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fitting the Stage-Volume Relationship" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Numpy provides functions to fit data to a polynomial of arbitrary degree, and to create a 1d interpolation based on the result." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Rainy Lake \n", " 2\n", "45.37 x - 2.975e+04 x + 4.876e+06\n", "\n", " Namakan Reservoir \n", " 2\n", "10.14 x - 6653 x + 1.09e+06\n", "\n", " Rainy Lake - Morin \n", " 2\n", "45.84 x - 3.006e+04 x + 4.924e+06\n", "\n", " Namakan Reservoir - Morin \n", " 2\n", "10.14 x - 6653 x + 1.09e+06\n" ] } ], "source": [ "volume = {}\n", "\n", "for key in data.keys():\n", " volume[key] = np.poly1d(np.polyfit(data[key]['stage'],data[key]['volume'],2))\n", " print(\"\\n\",key,\"\\n\",volume[key])" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAn8AAAGNCAYAAABg/Bd0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nERER2RCGPyIiIiIb8n9dZwehqmBX4QAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,6))\n", "\n", "axes = plt.subplot()\n", "for key in data.keys():\n", " data[key].plot(\n", " x = 'stage', \n", " y = 'volume', \n", " kind='scatter', \n", " color = colors[key],\n", " s=50, marker='d', \n", " ax = axes)\n", " h = np.linspace(data[key]['stage'].min(),data[key]['stage'].max())\n", " plt.plot(h,volume[key](h),color=colors[key])\n", "\n", "plt.xlabel('Stage [m]')\n", "plt.ylabel('Volume [million m^3]')\n", "plt.title('Stage-Volume Relationship')\n", "plt.legend(data.keys(),loc='upper left')\n", "plt.xlim([334,344])\n", "plt.ylim([0,5000]);\n", "\n", "plt.savefig('../images/Stage-Volume.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Stage-Area Relationships" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The stage-area relationship expresses the dependence of lake area on lake elevation. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Rainy Lake \n", " \n", "90.73 x - 2.975e+04\n", "\n", " Namakan Reservoir \n", " \n", "20.29 x - 6653\n", "\n", " Rainy Lake - Morin \n", " \n", "91.68 x - 3.006e+04\n", "\n", " Namakan Reservoir - Morin \n", " \n", "20.29 x - 6653\n" ] } ], "source": [ "area = {}\n", "for key in data.keys():\n", " area[key] = volume[key].deriv()\n", " print(\"\\n\",key,\"\\n\",area[key])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(334, 344)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAn8AAAGNCAYAAABg/Bd0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQcsHuIaQAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,6))\n", "\n", "axes = plt.subplot()\n", "for key in data.keys():\n", " h = np.linspace(data[key]['stage'].min(),data[key]['stage'].max())\n", " plt.plot(h,area[key](h),color=colors[key])\n", "\n", "plt.xlabel('Stage [m]')\n", "plt.ylabel('Area [km^2]')\n", "plt.title('Stage-Area Relationship')\n", "plt.legend(data.keys(),loc='upper left')\n", "plt.xlim([334,344])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Save Results" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pickle\n", "\n", "with open(dir + 'area.pkl', 'wb') as handle:\n", " pickle.dump(area, handle)\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "with open(dir + 'area.pkl', 'rb') as handle:\n", " area = pickle.load(handle)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sample Use Cases" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: What is the Area of Rainy Lake at the Emergency High Water Level?\n", "\n", "Under the emergency high water level for Rainy Lake under the 2000 Rule Curve is 337.5 meters." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'Namakan Reservoir': poly1d([ 20.28853147, -6652.59327511]),\n", " 'Namakan Reservoir - Morin': poly1d([ 20.28853147, -6652.59327511]),\n", " 'Rainy Lake': poly1d([ 90.73298003, -29751.96877493]),\n", " 'Rainy Lake - Morin': poly1d([ 91.68112663, -30055.98839021])}" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "264.781529137\n", "Area of area at Emergency High Water = 906.705177419 km^2\n" ] } ], "source": [ "file = open(dir + 'area.pkl', 'rb') \n", "area = pickle.load(file)\n", "file.close()\n", "\n", "display(area)\n", "\n", "h_ehw = 337.90\n", "a_ehw = area['Rainy Lake'](h_ehw)\n", "\n", "h_nl = 340.95\n", "a_nl = area['Namakan Reservoir'](h_nl)\n", "print(a_nl)\n", "print('Area of area at Emergency High Water =', a_ehw, 'km^2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Example: How much water is in Rainy Lake between the EHW and AGO levels?" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "ename": "UnicodeDecodeError", "evalue": "'ascii' codec can't decode byte 0xe9 in position 4: ordinal not in range(128)", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mUnicodeDecodeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mfile\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdir\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;34m'volume.pkl'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'rb'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mvolume\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpickle\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mload\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfile\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mfile\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mdisplay\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mvolume\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mUnicodeDecodeError\u001b[0m: 'ascii' codec can't decode byte 0xe9 in position 4: ordinal not in range(128)" ] } ], "source": [ "file = open(dir + 'volume.pkl', 'rb') \n", "volume = pickle.load(file)\n", "file.close()\n", "\n", "display(volume)\n", "\n", "h_ehw = 337.75\n", "h_ago = 337.90\n", "\n", "v_ehw = volume['Rainy Lake'](h_ehw)\n", "v_ago = volume['Rainy Lake'](h_ago)\n", "\n", "print('Volume of Rainy lake between EHW and EGO =', v_ago-v_ehw, 'million m^3')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: How long to drain Rainy Lake from AGO to EHW levels?\n", "\n", "Assuming a net outflow of 1000 cubic meters/sec," ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'v_ago' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mdv\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mv_ago\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mv_ehw\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0;36m1.0e6\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mdt\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdv\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;36m1000.0\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;36m86400.0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'Time to empty ='\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdt\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'days'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mNameError\u001b[0m: name 'v_ago' is not defined" ] } ], "source": [ "dv = (v_ago - v_ehw)*1.0e6\n", "dt = dv/1000.0/86400.0\n", "\n", "print('Time to empty =', dt, 'days')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: How much area is added to Rainy Lake between low and high water levels?" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Area of Rainy lake increases by 10.682% between low and high water of the 2000 rule curve order.\n" ] } ], "source": [ "lrc = 336.80\n", "urc = 337.75\n", "\n", "a = 100*(area['Rainy Lake'](urc) - area['Rainy Lake'](lrc))/area['Rainy Lake'](lrc)\n", "\n", "print(\"Area of Rainy lake increases by {:4.3f}% between low and high water of the 2000 rule curve order.\".format(a))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Area of Rainy lake increases by 21.871% between low and high water of the 2000 rule curve order.\n" ] } ], "source": [ "lrc = 336.80\n", "urc = 338.745\n", "\n", "a = 100*(area['Rainy Lake'](urc) - area['Rainy Lake'](lrc))/area['Rainy Lake'](lrc)\n", "\n", "print(\"Area of Rainy lake increases by {:4.3f}% between low and high water of the 2000 rule curve order.\".format(a))" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [USGS Surface Water Daily Data](http://nbviewer.jupyter.org/github/jckantor/Controlling-Natural-Watersheds/blob/master/notebooks/A.07-USGS_Surface_Water_Daily_Data.ipynb) | [Contents](toc.ipynb) | [Rule Curves for Rainy and Namakan Lakes](http://nbviewer.jupyter.org/github/jckantor/Controlling-Natural-Watersheds/blob/master/notebooks/A.09-Rule_Curves_for_Rainy_and_Namakan_Lakes.ipynb) >

\"Open

\"Download\"" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }