{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pylab as plt\n", "import numpy as np\n", "import netCDF4 as NC\n", "from scipy.optimize import curve_fit\n", "from salishsea_tools import tidetools\n", "from salishsea_tools import viz_tools\n", "from salishsea_tools import bathy_tools\n", "import collections\n", "import pandas as pd\n", "import csv\n", "import math\n", "\n", "from __future__ import division" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "grid = NC.Dataset('/ocean/imachuca/MEOPAR/NEMO-forcing/grid/bathy_meter_SalishSea2.nc')\n", "bathy, X, Y = tidetools.get_bathy_data(grid)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Run" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/ocean/imachuca/MEOPAR/SalishSea/results/tides_test2retry/\n" ] } ], "source": [ "#path = '/data/nsoontie/MEOPAR/SalishSea/results/tides/'\n", "#path = '/ocean/sallen/allen/research/MEOPAR/myResults/'\n", "path = '/ocean/imachuca/MEOPAR/SalishSea/results/'\n", "\n", "#runname = 'corr15'\n", "#runname = 'oldtopog'\n", "runname = 'tides_test2retry'\n", "\n", "#joining the two string together\n", "name = path +runname +'/'\n", "\n", "print name" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tides_test2retry\n" ] } ], "source": [ "print runname" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Observation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we can load some observations from a text file: /data/nsoontie/MEOPAR/analysis/compare_tides/obs_tidal_wlev_const_all.csv Note: This file contains a mix of M2/K1 measurements from Foreman et al (1995), US tidal harmonics, Foreman et al (2004) and Foreman et al (2012) (for Northern tides)." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "filename = '/data/nsoontie/MEOPAR/analysis/compare_tides/obs_tidal_wlev_const_all.csv'\n", "filename = '../compare_tides/obs_tidal_wlev_const_all.csv'\n", "\n", "harm_obs = pd.read_csv(filename,sep=';',header=0)\n", "harm_obs = harm_obs.rename(columns={'Site': 'site', 'Lat': 'lat', 'Lon': 'lon', \n", " 'M2 amp': 'M2_amp', 'M2 phase (deg UT)': 'M2_pha',\n", " 'K1 amp': 'K1_amp', 'K1 phase (deg UT)': 'K1_pha'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a list of observations that we can compare with our model output. Now we have a struc object called harm_obs that contains the data printed above." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "filename = '../Idalia/other_constituents.csv'\n", "\n", "harm_other = pd.read_csv(filename,sep=',',header=0)\n", "harm_other = harm_other.rename(columns={'Site': 'site', 'Lat': 'lat', 'Lon': 'lon', \n", " 'O1 amp': 'O1_amp', 'O1 phase (deg UT)': 'O1_pha',\n", " 'P1 amp': 'P1_amp', 'P1 phase (deg UT)': 'P1_pha',\n", " 'Q1 amp': 'Q1_amp', 'Q1 phase (deg UT)': 'Q1_pha',\n", " 'S2 amp': 'S2_amp', 'S2 phase (deg UT)': 'S2_pha',\n", " 'N2 amp': 'N2_amp', 'N2 phase (deg UT)': 'N2_pha',\n", " 'K2 amp': 'K2_amp', 'K2 phase (deg UT)': 'K2_pha'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Model" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ " stations = ['PortRenfrew','SheringhamPoint','PedderBay', 'Esquimalt',\n", " 'Victoria','CloverPoint','FinnertyCove', 'FulfordHarbour',\n", " 'TumboChannel','PatosIsland','WhalerBay', 'Tsawwassen',\n", " 'Sandheads', 'PointGrey','PointAtkinson','GibsonsLanding', 'WinchelseaIs',\n", " 'HalfmoonBay','IrvinesLanding','PowellRiver', 'LittleRiver', 'Lund',\n", " 'TwinIslets','CampbellRiver','MaudeIslandE', 'NympheCove',\n", " 'SeymourNarrows','BrownBay','ChathamPoint','KelseyBay','YorkeIsland']\n", "numsta=len(stations)\n", "#again with spaces because the text file likes that\n", "stations_obs = ['Port Renfrew','Sheringham Point','Pedder Bay', 'Esquimalt',\n", " 'Victoria','Clover Point','Finnerty Cove', 'Fulford Harbour',\n", " 'Tumbo Channel','Patos Island','Whaler Bay', 'Tsawwassen',\n", " 'Sandheads', 'Point Grey','Point Atkinson','Gibsons Landing', 'Winchelsea',\n", " 'Halfmoon Bay','Irvines Landing','Powell River', 'Little River', 'Lund',\n", " 'Twin Islets','Campbell River','Maude Island E', 'Nymphe Cove',\n", " 'Seymour Narrows','Brown Bay','Chatham Point','Kelsey Bay','Yorke Island']" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[-126.1, -122, 47, 51]" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAfcAAAJPCAYAAABhBJ2iAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXeYnGX1v+8zM9t7djfZ9J5AEgg1IOUbOgICKoigKChW\n", "RBBQQKp0CPITEFEEC4hKFRDpxWBApIcSQkJ6T7b3Mjtzfn+cd3Z2k02ySTbZknNf11wz87Z55t1J\n", "Ps8pzzmiqjiO4ziO038I9fQAHMdxHMfpXlzcHcdxHKef4eLuOI7jOP0MF3fHcRzH6We4uDuO4zhO\n", "P8PF3XEcx3H6GV0SdxFZIiIfisj7IvJWsO0rIjJHRGIistcmzv28iHwqIp+JyMXdNXDHcRzHcTon\n", "0sXjFDhEVSvabfsI+BJw98ZOEpEwcCdwBLASeFtE/qmqc7dyvI7jOI7jbIauijuAtH+jqp8CiEjn\n", "RxvTgAWquiQ49kHgRMDF3XEcx3G2E12NuSvwkoi8IyLf3YLrDwWWt3u/ItjmOI7jOM52oquW+4Gq\n", "ulpEioEXReRTVZ3VhfO8tq3jOI7j7GC6JO6qujp4LhWRxzF3e1fEfSUwvN374Zj13oaI+ATAcRzH\n", 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"source": [ "# Tidal Harmonics" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# M2\n", "M2freq = 28.984106 # degrees per hour\n", "M2freq = M2freq*np.pi/180. # radians per hour\n", "#K1\n", "K1freq = 15.041069*np.pi/180.\n", "#O1\n", "O1freq = 13.943036*np.pi/180.\n", "#S2\n", "S2freq = 30.000002*np.pi/180.\n", "#P1\n", "P1freq = 14.958932*np.pi/180.\n", "#N2\n", "N2freq = 28.439730*np.pi/180.\n", "#Q1\n", "Q1freq = 13.398661*np.pi/180.\n", "#K2\n", "K2freq = 30.082138*np.pi/180.\n", "\n", "if runname == 'corr15':\n", " K1ft = 1.050578\n", " K1uvt = 296.314842\n", " M2ft = 0.987843\n", " M2uvt = 245.888564\n", " O1ft = 1.081364\n", " O1uvt = 312.950020\n", " S2ft = 1.0\n", " S2uvt = 0.0\n", " P1ft = 1.0\n", " P1uvt = 55.79460\n", " N2ft = 0.98784\n", " N2uvt = 353.570277\n", " Q1ft = 1.081364\n", " Q1uvt = 60.631733\n", " K2ft = 1.114095\n", " K2uvt = 52.129248\n", "else:\n", " K1ft = 1.065505\n", " K1uvt = 111.481741\n", " M2ft = 0.982328\n", " M2uvt = 250.506179\n", " O1ft = 1.105495\n", " O1uvt = 142.040782\n", " S2ft = 1.000000 \n", " S2uvt = 0.000000\n", " P1ft = 1.000000\n", " P1uvt = 241.335269\n", " N2ft = 0.982328\n", " N2uvt = 205.684028\n", " Q1ft = 1.105495 \n", " Q1uvt = 97.218631\n", " K2ft = 1.159036 \n", " K2uvt = 42.361669" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# function for fit\n", "def double(x, M2amp, M2pha, K1amp, K1pha):\n", " return (M2amp*np.cos(M2freq*x-M2pha*np.pi/180.)+\n", " K1amp*np.cos(K1freq*x-K1pha*np.pi/180.))\n", "\n", "# function for fitting 3 frequencies\n", "def triple(x, M2amp, M2pha, K1amp, K1pha, O1amp, O1pha):\n", " return (M2amp*np.cos(M2freq*x-M2pha*np.pi/180.)+\n", " K1amp*np.cos(K1freq*x-K1pha*np.pi/180.)+\n", " O1amp*np.cos(O1freq*x-O1pha*np.pi/180.))\n", "\n", "# function for fitting 4 frequencies\n", "def quad(x, M2amp, M2pha, K1amp, K1pha, O1amp, O1pha, S2amp, S2pha):\n", " return (M2amp*np.cos(M2freq*x-M2pha*np.pi/180.)+\n", " K1amp*np.cos(K1freq*x-K1pha*np.pi/180.)+\n", " O1amp*np.cos(O1freq*x-O1pha*np.pi/180.)+\n", " S2amp*np.cos(S2freq*x-S2pha*np.pi/180.))\n", "\n", "# function for fitting 6 frequencies\n", "def sextuple(x, M2amp, M2pha, K1amp, K1pha, O1amp, O1pha, S2amp, S2pha,\n", " P1amp, P1pha, N2amp, N2pha):\n", " return (M2amp*np.cos(M2freq*x-M2pha*np.pi/180.)+\n", " K1amp*np.cos(K1freq*x-K1pha*np.pi/180.)+\n", " O1amp*np.cos(O1freq*x-O1pha*np.pi/180.)+\n", " S2amp*np.cos(S2freq*x-S2pha*np.pi/180.)+\n", " P1amp*np.cos(P1freq*x-P1pha*np.pi/180.)+\n", " N2amp*np.cos(N2freq*x-N2pha*np.pi/180.))\n", "\n", "# function for fitting 8 frequencies\n", "def octuple(x, M2amp, M2pha, K1amp, K1pha, O1amp, O1pha, S2amp, S2pha,\n", " P1amp, P1pha, N2amp, N2pha, Q1amp, Q1pha, K2amp, K2pha):\n", " return (M2amp*np.cos(M2freq*x-M2pha*np.pi/180.)+\n", " K1amp*np.cos(K1freq*x-K1pha*np.pi/180.)+\n", " O1amp*np.cos(O1freq*x-O1pha*np.pi/180.)+\n", " S2amp*np.cos(S2freq*x-S2pha*np.pi/180.)+\n", " P1amp*np.cos(P1freq*x-P1pha*np.pi/180.)+\n", " N2amp*np.cos(N2freq*x-N2pha*np.pi/180.)+\n", " Q1amp*np.cos(Q1freq*x-Q1pha*np.pi/180.)+\n", " K2amp*np.cos(K2freq*x-K2pha*np.pi/180.))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PortRenfrew\n", "Victoria\n", "PointAtkinson\n", "CampbellRiver\n" ] }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAsgAAAE4CAYAAABG0QXyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXm4ZVdd5/397Xk60z13qFtzyEBCiCQhA4hAESYx8IqG\n", "1nbGbtBu1AYlgtK+Cj62+NrCixMqTYuIONAOz6uCAwJB2wEUOxgICWSqVGq84xn3vPf7x9rr3lOX\n", "OueevU/lpgi/z/PUc25V3bXOOvvsvdZ3/dZ3/RbleQ6GYRiGYRiGYQTKE90AhmEYhmEYhrmUYIHM\n", "MAzDMAzDMCOwQGYYhmEYhmGYEVggMwzDMAzDMMwILJAZhmEYhmEYZgQWyAzDMAzDMAwzwkwCmYgs\n", "IvoUEd1NRPcS0dsvVsMYhmEYhmEY5omAZs2DTEROnudDItIA/G8Ad+Z5/r8vSusYhmEYhmEYZo+Z\n", 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-122.758 45.00 249.90 23.90 268.40 \n", "5 Bangor 47.748 -122.727 46.60 251.90 26.00 273.90 \n", "6 Seattle 47.605 -122.338 45.80 255.40 25.20 274.50 \n", "7 Tacoma 47.267 -122.413 45.90 255.10 25.50 277.20 \n", "8 Cherry Point 48.863 -122.758 45.60 260.00 25.60 281.40 \n", "9 Friday Harbor 48.540 -123.010 42.30 256.40 23.60 274.90 \n", "10 Hanbury Point 48.580 -123.172 43.60 253.60 23.40 271.40 \n", "11 Sidney 48.658 -123.383 44.40 255.80 24.20 275.20 \n", "12 Fulford Harbour 48.765 -123.453 43.00 257.80 23.40 277.80 \n", "13 Patos Island 48.783 -122.967 45.50 262.10 24.50 284.60 \n", "14 Tsawwassen 48.991 -123.137 47.20 261.80 25.90 282.60 \n", "15 Point Atkinson 49.334 -123.250 48.30 263.20 26.80 283.10 \n", "16 Winchelsea Islands 49.300 -124.083 47.70 263.50 27.40 286.20 \n", "17 Little River 49.744 -124.918 49.26 263.94 28.62 285.67 \n", "18 Twin Islets 50.029 -124.936 49.29 264.24 28.62 286.97 \n", "19 Campbell River 50.042 -125.247 48.46 263.74 24.60 280.57 \n", "20 Seymour Narrows 50.135 -125.347 41.27 254.54 21.28 271.47 \n", "21 Owen Bay 50.311 -125.223 38.19 251.34 20.97 267.47 \n", "22 Big Bay 50.394 -125.136 46.63 262.44 25.33 282.07 \n", "23 Chatham Point 50.332 -125.441 37.46 249.04 20.39 265.97 \n", "24 Yorke Island 50.444 -125.975 32.16 241.04 17.10 257.67 \n", "25 Alert Bay 50.588 -126.937 30.60 239.84 16.00 251.77 \n", "26 Port Hardy 50.720 -127.476 29.70 233.50 15.40 245.50 \n", "27 Montagu Point 50.639 -126.213 31.10 237.60 16.60 251.30 \n", "28 Siwash Bay 50.680 -125.763 31.30 239.40 17.10 253.20 \n", "29 Winter Harbour 50.490 -128.044 27.26 231.20 13.39 242.90 \n", "30 Bella Bella 52.177 -128.111 27.80 236.20 14.20 247.20 \n", "31 Tofino 49.144 -125.937 24.50 227.20 12.30 237.90 \n", "\n", " Q1_amp Q1_pha S2_amp S2_pha N2_amp N2_pha K2_amp K2_pha \n", "0 5.50 222.10 22.80 272.6 16.60 222.80 6.00 266.40 \n", "1 5.04 225.90 21.04 268.7 15.15 217.30 4.92 263.10 \n", "2 6.60 232.80 14.60 326.4 11.60 280.10 2.70 332.70 \n", "3 6.10 236.00 10.20 332.8 9.10 292.00 2.00 341.90 \n", "4 7.40 243.60 16.80 13.0 14.20 321.80 5.00 18.30 \n", "5 8.00 247.20 25.70 29.5 20.80 333.50 7.30 28.50 \n", "6 7.50 250.60 25.80 37.9 21.20 340.20 7.20 36.50 \n", "7 7.60 250.60 28.20 37.8 22.50 341.20 8.20 39.60 \n", "8 7.60 253.20 17.90 50.3 15.40 354.50 5.00 50.50 \n", "9 6.80 244.00 13.30 34.9 12.20 341.30 3.50 40.60 \n", "10 7.50 247.00 12.70 18.0 11.30 324.90 3.80 37.90 \n", "11 7.50 247.00 13.20 26.8 12.00 334.60 3.80 37.90 \n", "12 7.00 251.60 13.90 37.2 11.90 342.60 3.90 40.00 \n", "13 7.80 253.20 16.70 54.8 14.30 354.20 4.90 58.50 \n", "14 6.90 258.50 20.00 55.0 17.20 0.20 5.60 59.40 \n", "15 7.70 258.80 22.90 59.9 18.40 2.90 6.20 59.90 \n", "16 8.00 257.40 23.60 62.0 20.60 5.60 6.40 64.60 \n", "17 8.38 257.20 25.02 61.6 21.64 5.42 6.80 62.56 \n", "18 7.89 258.59 25.82 64.8 21.82 9.12 6.92 63.66 \n", "19 8.08 252.39 20.27 43.6 19.20 2.82 5.42 49.76 \n", "20 7.25 244.99 30.27 339.6 20.48 290.52 8.29 333.06 \n", "21 6.37 244.89 27.52 339.6 17.89 290.92 6.89 335.26 \n", "22 8.20 224.79 19.29 35.3 15.94 346.02 4.72 35.56 \n", "23 5.82 243.69 29.44 326.8 19.57 276.22 8.05 322.36 \n", "24 5.33 234.89 38.56 301.2 25.73 248.12 10.70 293.76 \n", "25 5.18 231.09 40.63 290.0 26.97 237.72 11.19 279.96 \n", "26 5.00 224.30 42.00 281.4 27.30 227.80 10.90 276.20 \n", "27 5.20 230.40 49.60 292.7 31.60 238.70 12.50 285.50 \n", "28 5.20 232.50 50.60 296.7 32.70 242.50 14.00 290.00 \n", "29 4.89 224.50 29.55 273.1 20.74 219.00 7.87 265.80 \n", "30 4.90 225.60 40.10 280.0 27.10 227.50 10.90 271.10 \n", "31 4.40 219.60 27.90 269.5 20.30 215.60 7.60 261.60 \n" ] } ], "source": [ "#allocate space for our arrays\n", "M2_amp=[]; M2_pha=[]; K1_amp=[]; K1_pha=[]\n", "O1_amp=[]; O1_pha=[]; S2_amp=[]; S2_pha=[]\n", "P1_amp=[]; P1_pha=[]; N2_amp=[]; N2_pha=[]\n", "Q1_amp=[]; Q1_pha=[]; K2_amp=[]; K2_pha=[]\n", "\n", "M2_amp_obs=np.zeros(numsta); M2_pha_obs=np.zeros(numsta)\n", "K1_amp_obs=np.zeros(numsta); K1_pha_obs=np.zeros(numsta)\n", "O1_amp_obs=np.zeros(numsta); O1_pha_obs=np.zeros(numsta)\n", "S2_amp_obs=np.zeros(numsta); S2_pha_obs=np.zeros(numsta)\n", "P1_amp_obs=np.zeros(numsta); P1_pha_obs=np.zeros(numsta)\n", "N2_amp_obs=np.zeros(numsta); N2_pha_obs=np.zeros(numsta)\n", "Q1_amp_obs=np.zeros(numsta); Q1_pha_obs=np.zeros(numsta)\n", "K2_amp_obs=np.zeros(numsta); K2_pha_obs=np.zeros(numsta)\n", "\n", "ts = 240\n", "te = ssh.shape[0]\n", "\n", " \n", "for stn in range(numsta):\n", " fT1 = NC.Dataset(name+stations[stn]+'.nc','r')\n", " time = fT1.variables[\"time_counter\"][:]/3600. # want hours not seconds\n", " ssh = fT1.variables[\"sossheig\"][:,0,0]\n", "\n", " fitted, cov = curve_fit(octuple,time[ts:te],ssh[ts:te]) \n", " if fitted[0] < 0:\n", " fitted[0] = -fitted[0]\n", " fitted[1] = fitted[1]+180\n", "\n", " M2_amp.append(fitted[0]*M2ft)\n", " pha = fitted[1]+M2uvt\n", " if pha > 360:\n", " pha=pha-360\n", " elif pha < 0:\n", " pha = pha+360\n", " if stn == 6:\n", " print pha\n", " M2_pha.append(pha)\n", "\n", " if fitted[2] < 0:\n", " fitted[2] = - fitted[2]\n", " fitted[3] = fitted[3] + 180\n", " K1_amp.append(fitted[2]*K1ft)\n", " pha = fitted[3] + K1uvt\n", " if pha > 360:\n", " pha = pha-360\n", " K1_pha.append(pha) \n", " \n", " if fitted[4] < 0:\n", " fitted[4] = -fitted[4]\n", " fitted[5] = fitted[5]+180\n", " O1_amp.append(fitted[4]*O1ft)\n", " pha= fitted[5]+O1uvt\n", " if pha > 360:\n", " pha=pha-360\n", " O1_pha.append(pha) \n", " \n", " if fitted[6] < 0:\n", " fitted[6] = -fitted[6]\n", " fitted[7] = fitted[7]+180\n", " S2_amp.append(fitted[6]*S2ft)\n", " pha= fitted[7]+S2uvt\n", " if pha > 360:\n", " pha=pha-360\n", " S2_pha.append(pha) \n", " \n", " if fitted[8] < 0:\n", " fitted[8] = -fitted[8]\n", " fitted[9] = fitted[9]+180\n", " P1_amp.append(fitted[8]*P1ft)\n", " pha= fitted[9]+P1uvt\n", " if pha > 360:\n", " pha=pha-360\n", " P1_pha.append(pha) \n", " \n", " if fitted[10] < 0:\n", " fitted[10] = -fitted[10]\n", " fitted[11] = fitted[11]+180\n", " N2_amp.append(fitted[10]*N2ft)\n", " pha= fitted[11]+N2uvt\n", " if pha > 360:\n", " pha=pha-360\n", " N2_pha.append(pha) \n", " \n", " if fitted[12] < 0:\n", " fitted[12] = -fitted[12]\n", " fitted[13] = fitted[13]+180\n", " Q1_amp.append(fitted[12]*Q1ft)\n", " pha= fitted[13]+Q1uvt\n", " if pha > 360:\n", " pha=pha-360\n", " Q1_pha.append(pha) \n", " \n", " if fitted[14] < 0:\n", " fitted[14] = -fitted[14]\n", " fitted[15] = fitted[15]+180\n", " K2_amp.append(fitted[14]*K2ft)\n", " pha= fitted[15]+K2uvt\n", " if pha > 360:\n", " pha = pha-360\n", " if pha < 0:\n", " pha = pha + 360\n", " K2_pha.append(pha) \n", "\n", " #now the observations\n", " location=stations_obs[stn]\n", " M2_amp_obs[stn]=harm_obs.M2_amp[harm_obs.site==location]/100\n", " M2_pha_obs[stn]=harm_obs.M2_pha[harm_obs.site==location]\n", " K1_amp_obs[stn]=harm_obs.K1_amp[harm_obs.site==location]/100\n", " K1_pha_obs[stn]=harm_obs.K1_pha[harm_obs.site==location]\n", " \n", " #O1/S2/P1/N2/Q1/K2 are in the other file\n", " if (harm_other.site==location).any():\n", " O1_amp_obs[stn]=harm_other.O1_amp[harm_other.site==location]/100\n", " O1_pha_obs[stn]=harm_other.O1_pha[harm_other.site==location]\n", " S2_amp_obs[stn]=harm_other.S2_amp[harm_other.site==location]/100\n", " S2_pha_obs[stn]=harm_other.S2_pha[harm_other.site==location]\n", " P1_amp_obs[stn]=harm_other.P1_amp[harm_other.site==location]/100\n", " P1_pha_obs[stn]=harm_other.P1_pha[harm_other.site==location]\n", " N2_amp_obs[stn]=harm_other.N2_amp[harm_other.site==location]/100\n", " N2_pha_obs[stn]=harm_other.N2_pha[harm_other.site==location]\n", " Q1_amp_obs[stn]=harm_other.Q1_amp[harm_other.site==location]/100\n", " Q1_pha_obs[stn]=harm_other.Q1_pha[harm_other.site==location]\n", " K2_amp_obs[stn]=harm_other.K2_amp[harm_other.site==location]/100\n", " K2_pha_obs[stn]=harm_other.K2_pha[harm_other.site==location]\n", " #Mask the arrays so that we can do statistics without the 0's throwing thigns off.\n", " O1_amp_obs =np.ma.masked_values(O1_amp_obs, 0)\n", " O1_pha_obs =np.ma.masked_values(O1_pha_obs, 0)\n", " S2_amp_obs =np.ma.masked_values(S2_amp_obs, 0)\n", " S2_pha_obs =np.ma.masked_values(S2_pha_obs, 0)\n", " P1_amp_obs =np.ma.masked_values(P1_amp_obs, 0)\n", " P1_pha_obs =np.ma.masked_values(P1_pha_obs, 0)\n", " N2_amp_obs =np.ma.masked_values(N2_amp_obs, 0)\n", " N2_pha_obs =np.ma.masked_values(N2_pha_obs, 0)\n", " Q1_amp_obs =np.ma.masked_values(Q1_amp_obs, 0)\n", " Q1_pha_obs =np.ma.masked_values(Q1_pha_obs, 0)\n", " K2_amp_obs =np.ma.masked_values(K2_amp_obs, 0)\n", " K2_pha_obs =np.ma.masked_values(K2_pha_obs, 0)\n", " \n", "print harm_other" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAzEAAAGJCAYAAAC6kL2xAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", 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"fig=tidetools.plot_scatter_pha_amp(M2_amp,M2_amp_obs,M2_pha,M2_pha_obs,'M2',figsize=(14,6),\n", " split1=split1,split2=split2, labels=labels)\n", "ax_amp,ax_pha = fig.axes\n", "min_value, max_value = ax_amp.set_xlim(0, 1.2)\n", "ax_amp.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "min_value, max_value = ax_pha.set_xlim(0, 360)\n", "ax_pha.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "\n", "#Plotting K1\n", "fig=tidetools.plot_scatter_pha_amp(K1_amp,K1_amp_obs,K1_pha,K1_pha_obs,'K1',figsize=(14,6),\n", " split1=split1, split2=split2, labels=labels)\n", "ax_amp,ax_pha = fig.axes\n", "min_value, max_value = ax_amp.set_xlim(0, 1.2)\n", "ax_amp.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "min_value, max_value = ax_pha.set_xlim(0, 360)\n", "ax_pha.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "\n", "#Plotting O1\n", "fig=tidetools.plot_scatter_pha_amp(O1_amp,O1_amp_obs,O1_pha,O1_pha_obs,'O1',figsize=(14,6),\n", " split1=split1, split2=split2, labels=labels)\n", "ax_amp,ax_pha = fig.axes\n", "min_value, max_value = ax_amp.set_xlim(0, 1.2)\n", "ax_amp.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "min_value, max_value = ax_pha.set_xlim(0, 360)\n", "ax_pha.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "\n", "#Plotting S2\n", "fig=tidetools.plot_scatter_pha_amp(S2_amp,S2_amp_obs,S2_pha,S2_pha_obs,'S2',figsize=(14,6),\n", " split1=split1, split2=split2, labels=labels)\n", "ax_amp,ax_pha = fig.axes\n", "min_value, max_value = ax_amp.set_xlim(0, 1.2)\n", "ax_amp.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "min_value, max_value = ax_pha.set_xlim(0, 360)\n", "ax_pha.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "\n", "#Plotting P1\n", "fig=tidetools.plot_scatter_pha_amp(P1_amp,P1_amp_obs,P1_pha,P1_pha_obs,'P1',figsize=(14,6),\n", " split1=split1, split2=split2, labels=labels)\n", "ax_amp,ax_pha = fig.axes\n", "min_value, max_value = ax_amp.set_xlim(0, 1.2)\n", "ax_amp.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "min_value, max_value = ax_pha.set_xlim(0, 360)\n", "ax_pha.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "\n", "#Plotting N2\n", "fig=tidetools.plot_scatter_pha_amp(N2_amp,N2_amp_obs,N2_pha,N2_pha_obs,'N2',figsize=(14,6),\n", " split1=split1, split2=split2, labels=labels)\n", "ax_amp,ax_pha = fig.axes\n", "min_value, max_value = ax_amp.set_xlim(0, 1.2)\n", "ax_amp.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "min_value, max_value = ax_pha.set_xlim(0, 360)\n", "ax_pha.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "\n", "#Plotting Q1\n", "fig=tidetools.plot_scatter_pha_amp(Q1_amp,Q1_amp_obs,Q1_pha,Q1_pha_obs,'Q1',figsize=(14,6),\n", " split1=split1, split2=split2, labels=labels)\n", "ax_amp,ax_pha = fig.axes\n", "min_value, max_value = ax_amp.set_xlim(0, 1.2)\n", "ax_amp.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "min_value, max_value = ax_pha.set_xlim(0, 360)\n", "ax_pha.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "\n", "#Plotting K2\n", "fig=tidetools.plot_scatter_pha_amp(K2_amp,K2_amp_obs,K2_pha,K2_pha_obs,'K2',figsize=(14,6),\n", " split1=split1, split2=split2, labels=labels)\n", "ax_amp,ax_pha = fig.axes\n", "min_value, max_value = ax_amp.set_xlim(0, 1.2)\n", "ax_amp.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)\n", "min_value, max_value = ax_pha.set_xlim(0, 360)\n", "ax_pha.plot([min_value, max_value], [min_value, max_value], color='red',lw=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Statistics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some other things we will look at are\n", "\n", "$R = \\frac{A_m}{A_o}$, the ratio of modelled to observed amplitude and \n", "\n", "$\\Delta \\phi = \\phi_m - \\phi_o$, the difference betwen modelled and observed phase." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# mean error (absolute value)\n", "def mean(diff):\n", " return np.mean(abs(diff))\n", "\n", "# rms error\n", "def rms(diff):\n", " return np.sqrt(np.mean(diff**2))\n", "\n", "# complex difference\n", "def complex_diff(Ao,go,Am,gm):\n", " #calculates complex differences between observations and model\n", " #Ao, go - amplitude and phase from observations\n", " #Am, gm - amplitude and phase from model\n", " D = np.sqrt((Ao*np.cos(np.pi*go/180)-Am*np.cos(np.pi*gm/180))**2 + \n", " (Ao*np.sin(np.pi*go/180)-Am*np.sin(np.pi*gm/180))**2)\n", " return D" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#R\n", "R_M2 = M2_amp/M2_amp_obs\n", "R_K1 = K1_amp/K1_amp_obs\n", "#delta phi (adjust so between -180, 180)\n", "Dphi_M2 = M2_pha-M2_pha_obs; \n", "Dphi_M2 = Dphi_M2 -360*(Dphi_M2>180) + 360*(Dphi_M2<-180)\n", "Dphi_K1 = K1_pha-K1_pha_obs\n", "Dphi_K1 = Dphi_K1 -360*(Dphi_K1>180) + 360*(Dphi_K1<-180)\n", "#Complex differences\n", "D_M2= complex_diff(np.array(M2_amp_obs),np.array(M2_pha_obs), np.array(M2_amp),np.array(M2_pha))\n", "D_K1= complex_diff(np.array(K1_amp_obs),np.array(K1_pha_obs), np.array(K1_amp),np.array(K1_pha))\n", "D_O1= complex_diff(np.ma.array(O1_amp_obs),np.ma.array(O1_pha_obs), np.ma.array(O1_amp),np.ma.array(O1_pha))\n", "D_S2= complex_diff(np.ma.array(S2_amp_obs),np.ma.array(S2_pha_obs), np.ma.array(S2_amp),np.ma.array(S2_pha))\n", "D_P1= complex_diff(np.ma.array(P1_amp_obs),np.ma.array(P1_pha_obs), np.ma.array(P1_amp),np.ma.array(P1_pha))\n", "D_N2= complex_diff(np.ma.array(N2_amp_obs),np.ma.array(N2_pha_obs), np.ma.array(N2_amp),np.ma.array(N2_pha))\n", "D_Q1= complex_diff(np.ma.array(Q1_amp_obs),np.ma.array(Q1_pha_obs), np.ma.array(Q1_amp),np.ma.array(Q1_pha))\n", "D_K2= complex_diff(np.ma.array(K2_amp_obs),np.ma.array(K2_pha_obs), np.ma.array(K2_amp),np.ma.array(K2_pha))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Saving Results" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(numpy.ndarray, list, numpy.ndarray)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(D_M2), type(M2_amp), type(np.array(M2_amp))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [], "source": [ "outfile = runname+'.csv'\n", "\n", "with open(outfile, 'wb') as csvfile:\n", " writer = csv.writer(csvfile, delimiter=',')\n", " writer.writerow(['Station Name', \n", " 'M2(Amp)', 'M2(Pha)', 'M2(D)', \n", " 'K1(Amp)', 'K1(Pha)', 'K1(D)',\n", " 'O1(Amp)', 'O1(Pha)', 'O1(D)',\n", " 'S2(Amp)', 'S2(Pha)', 'S2(D)',\n", " 'P1(Amp)', 'P1(Pha)', 'P1(D)',\n", " 'N2(Amp)', 'N2(Pha)', 'N2(D)',\n", " 'Q1(Amp)', 'Q1(Pha)', 'Q1(D)',\n", " 'K2(Amp)', 'K2(Pha)', 'K2(D)'])\n", " for stn in range(numsta):\n", " location = stations_obs[stn]\n", " writer.writerow([stations_obs[stn], \n", " M2_amp[stn], M2_pha[stn], D_M2[stn], \n", " K1_amp[stn], K1_pha[stn], D_K1[stn],\n", " O1_amp[stn], O1_pha[stn], D_O1[stn],\n", " S2_amp[stn], S2_pha[stn], D_S2[stn],\n", " P1_amp[stn], P1_pha[stn], D_P1[stn],\n", " N2_amp[stn], N2_pha[stn], D_N2[stn],\n", " Q1_amp[stn], Q1_pha[stn], D_Q1[stn],\n", " K2_amp[stn], K2_pha[stn], D_K2[stn]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "load csv files that can be created by code above" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tides_test2retry= pd.read_csv('tides_test2retry.csv', na_values=['--'])\n", "tides_test = pd.read_csv('tides_test.csv', na_values=['--'])\n", "oldtopog = pd.read_csv('oldtopog.csv', na_values=['--'])\n", "corr15 = pd.read_csv('corr15.csv', na_values=['--'])" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "['Station Name',\n", " 'M2(Amp)',\n", " 'M2(Pha)',\n", " 'M2(D)',\n", " 'K1(Amp)',\n", " 'K1(Pha)',\n", " 'K1(D)',\n", " 'O1(Amp)',\n", " 'O1(Pha)',\n", " 'O1(D)',\n", " 'S2(Amp)',\n", " 'S2(Pha)',\n", " 'S2(D)',\n", " 'P1(Amp)',\n", " 'P1(Pha)',\n", " 'P1(D)',\n", " 'N2(Amp)',\n", " 'N2(Pha)',\n", " 'N2(D)',\n", " 'Q1(Amp)',\n", " 'Q1(Pha)',\n", " 'Q1(D)',\n", " 'K2(Amp)',\n", " 'K2(Pha)',\n", " 'K2(D)']" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vars_cols = list(tides_test.columns.values)\n", "vars_cols" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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Station NameM2(Amp)M2(Pha)M2(D)K1(Amp)K1(Pha)K1(D)O1(Amp)O1(Pha)O1(D)...P1(D)N2(Amp)N2(Pha)N2(D)Q1(Amp)Q1(Pha)Q1(D)K2(Amp)K2(Pha)K2(D)
0 Port Renfrew 0.817966 231.700873 0.166260 0.466202 249.164056 0.041722 0.308096 231.342385 0.030778... 0.030804 0.156462 210.229591 0.019625 0.050599-134.445596 0.000364 0.029756 229.383933 0.029505
1 Sheringham Point 0.581797 246.834627 0.179513 0.547756 257.059732 0.042449 0.350949 237.794760 NaN... NaN 0.115458 227.846566 NaN 0.057137 230.969453 NaN 0.013808 231.168925 NaN
2 Pedder Bay 0.327215 280.613457 0.159069 0.623370 266.587078 0.026576 0.386244 246.178001 NaN... NaN 0.072804 623.742276 NaN 0.060895 239.808689 NaN 0.009892 23.186452 NaN
3 Esquimalt 0.333019 294.011136 0.143995 0.639732 267.055657 0.012138 0.391354 245.724712 NaN... NaN 0.076632 -84.623244 NaN 0.061439 240.115392 NaN 0.009831 61.947266 NaN
4 Victoria 0.331820 298.329456 0.116218 0.651849 267.370314 0.032160 0.399084 247.131954 0.029427... 0.018671 0.077399 278.790760 0.023616 0.062777 240.884808 0.005565 0.012672 50.204416 0.019318
\n", "

5 rows × 25 columns

\n", "
" ], "text/plain": [ " Station Name M2(Amp) M2(Pha) M2(D) K1(Amp) K1(Pha) \\\n", "0 Port Renfrew 0.817966 231.700873 0.166260 0.466202 249.164056 \n", "1 Sheringham Point 0.581797 246.834627 0.179513 0.547756 257.059732 \n", "2 Pedder Bay 0.327215 280.613457 0.159069 0.623370 266.587078 \n", "3 Esquimalt 0.333019 294.011136 0.143995 0.639732 267.055657 \n", "4 Victoria 0.331820 298.329456 0.116218 0.651849 267.370314 \n", "\n", " K1(D) O1(Amp) O1(Pha) O1(D) ... P1(D) N2(Amp) \\\n", "0 0.041722 0.308096 231.342385 0.030778 ... 0.030804 0.156462 \n", "1 0.042449 0.350949 237.794760 NaN ... NaN 0.115458 \n", "2 0.026576 0.386244 246.178001 NaN ... NaN 0.072804 \n", "3 0.012138 0.391354 245.724712 NaN ... NaN 0.076632 \n", "4 0.032160 0.399084 247.131954 0.029427 ... 0.018671 0.077399 \n", "\n", " N2(Pha) N2(D) Q1(Amp) Q1(Pha) Q1(D) K2(Amp) K2(Pha) \\\n", "0 210.229591 0.019625 0.050599 -134.445596 0.000364 0.029756 229.383933 \n", "1 227.846566 NaN 0.057137 230.969453 NaN 0.013808 231.168925 \n", "2 623.742276 NaN 0.060895 239.808689 NaN 0.009892 23.186452 \n", "3 -84.623244 NaN 0.061439 240.115392 NaN 0.009831 61.947266 \n", "4 278.790760 0.023616 0.062777 240.884808 0.005565 0.012672 50.204416 \n", "\n", " K2(D) \n", "0 0.029505 \n", "1 NaN \n", "2 NaN \n", "3 NaN \n", "4 0.019318 \n", "\n", "[5 rows x 25 columns]" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "corr15.head()" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ 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sharex=True)\n", "\n", "for N in np.arange(len(comps_all)):\n", " comp_one = comps_all[N]\n", " for comp, n in zip(comp_one, np.arange(len(comp_one))):\n", " axs[N,n].plot(tides_test2retry[comp], '.-k', label='tides_test2retry')\n", " axs[N,n].plot(tides_test[comp], '.-b', label='tides_test')\n", " #axs[N,n].plot(oldtopog[comp], '.-g', label='oldtopog')\n", " #axs[N,n].plot(corr15[comp], '.-r', label='corr15')\n", " axs[N,n].set_title([comp][0])\n", " axs[N,0].set_ylim(0.0,1.2)\n", " axs[N,1].set_ylim(-500,700)\n", " axs[N,2].set_ylim(0.0,0.6)\n", "axs[0,2].legend(bbox_to_anchor=(0.4, 1.3), ncol=1)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Difference: tidal analysis with ssh anomaly forcing and without\n" ] }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAABJ0AAAOoCAYAAAB7oIXXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", 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np.arange(len(comps_all)):\n", " comp_one = comps_all[N]\n", " for comp, n in zip(comp_one, np.arange(len(comp_one))):\n", " axs[N,n].plot(tides_test2retry[comp] - tides_test[comp], '.-k') \n", " axs[N,n].set_title([comp][0])\n", " #axs[N,0].set_ylim(0.0,1.2)\n", " #axs[N,1].set_ylim(-500,700)\n", " #axs[N,2].set_ylim(0.0,0.6)\n", "axs[0,2].legend(bbox_to_anchor=(0.4, 1.3), ncol=1)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Very small differences (typically less than a cm amplitude change for M2/K1). Largest differences in the Johnstone Strait region. M2 complex diffences change by less than 2 cm. K1 is less than 5 mm. M2 phase is well behaved, but up to 1 degree difference in Johnstone Strait." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }