{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Using xray to analyze Pacific SST Variability #\n", "\n", "This lesson introduces the powerful [xray](http://xray.readthedocs.org) package for analyzing multidimensional netCDF data.\n", "\n", "We will use xray to perform standard climatological analysis of tropical pacific sea surface temperature, looking for the signature of the [El Niño / Southern Oscillation (ENSO)](http://iri.columbia.edu/our-expertise/climate/enso/) phenomenon." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# import necessary modules\n", "import xray\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "\n", "Dimensions: (T: 1939, X: 180, Y: 89, zlev: 1)\n", "Coordinates:\n", " * X (X) float32 0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0 ...\n", " * zlev (zlev) float32 0.0\n", " * Y (Y) float32 -88.0 -86.0 -84.0 -82.0 -80.0 -78.0 -76.0 -74.0 ...\n", " * T (T) datetime64[ns] 1854-01-16T12:00:00 1854-02-15 ...\n", "Data variables:\n", " sst (T, zlev, Y, X) float64 ...\n", "Attributes:\n", " Conventions: IRIDL" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# the data we will use is described here\n", "# http://www.ncdc.noaa.gov/data-access/marineocean-data/extended-reconstructed-sea-surface-temperature-ersst-v4\n", "# It is stored in the IRI data library\n", "uri = ('http://iridl.ldeo.columbia.edu/SOURCES/.NOAA/.NCDC/.ERSST/'\n", " '.version4/anom/.sst/T/(days%20since%201960-01-01)/streamgridunitconvert/dods')\n", "\n", "# open xray dataset\n", "ds = xray.open_dataset(uri)\n", "ds" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEZCAYAAACaWyIJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# make an exploratory plot\n", "xray.plot.pcolormesh(ds['sst'][0,0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Niño3.4 Index ##\n", "\n", "The [Niño3.4 Index](http://www.cgd.ucar.edu/cas/catalog/climind/TNI_N34/index.html#Sec5) is a commonly used metric of ENSO variability. The recipe for calculating it is\n", "\n", "* Compute area averaged total SST from Niño 3.4 region.\n", "* Compute monthly climatology (1950-1979) for area averaged total SST from Niño 3.4 region, and subtract climatology from area averaged total SST time series to obtain anomalies.\n", "* Smooth the anomalies with a 5-month running mean.\n", "* Normalize the smoothed N3.4 by its standard deviation over the climatological period 1950-1979.\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# The Niño 3.4 Region is bounded by 120°W-170°W and 5°S- 5°N.\n", "# extract this region\n", "sst_n34 = ds.sst.sel(X=slice(190,240), Y=slice(-5,5), zlev=0).mean(dim=('X','Y'))" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# calculate monthly anomaly\n", "sst_n34_clim = sst_n34.groupby('T.month').mean('T')\n", "sst_n34_anom = sst_n34.groupby('T.month') - sst_n34_clim" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# \"smooth with 5-month running mean\"\n", "# The closest thing we can do with xray is resample to 5-month intervals,\n", "# which effectively accomplishes the same thing\n", "sst_n34_smooth = sst_n34_anom.resample('5M', 'T')" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# now normalize by standard deviation\n", "n34_index = sst_n34_smooth / sst_n34_smooth.sel(T=slice('1950','1979')).std()" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAssAAAFVCAYAAAAZjKJ1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot it\n", "fig = plt.figure(figsize=(12,5))\n", "ax = plt.subplot(111)\n", "xray.plot.plot(n34_index, ax=ax, marker='o')\n", "ax.set_xlim(['1972-01,01','2015-10-01'])\n", "ax.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PCA Analysis of Tropical Pacific SST ##\n", "\n", "Now we use a singular value decomposition to perform a [principal component analysis](http://iridl.ldeo.columbia.edu/dochelp/StatTutorial/SVD/) on the 2D sst fields." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# extract a region in space and time\n", "sst_pac = ds.sst.sel(X=slice(120,300), Y=slice(-30,30),\n", " T=slice('1950-01-1','2015-10-01'), zlev=0)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# we will NOT subtract a monthly climatology\n", "# we want to see the seasonal cycle emerge from our analysis\n", "# instead just subtract the time mean\n", "ssta_pac = sst_pac - sst_pac.mean(dim='T')" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEZCAYAAAB4hzlwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nb3jRAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# visualize the region we're working with\n", "ssta_pac[-1].plot.pcolormesh()" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-1.84986580168e-17 1.0\n" ] } ], "source": [ "# exract the raw data as numpy array and normalize\n", "a = np.ma.masked_invalid(ssta_pac.values.copy()).filled(0.)\n", "a -= a.mean()\n", "a /= a.std()\n", "print(a.mean(), a.std())" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# reshape the array to have one time dimension, one space dimension\n", "Nt, Ny, Nx = a.shape\n", "a.shape = (Nt, Ny*Nx)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(787, 787) (787, 2821) (787,)\n" ] } ], "source": [ "# perform svd analysis\n", "u, s, v = np.linalg.svd(a, full_matrices=False)\n", "print(u.shape, v.shape, s.shape)\n", "S = np.diag(s)\n", "\n", "# reshape spatial pattern\n", "sst_pat = np.reshape(v, (Nt,Ny,Nx))" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtUAAAF6CAYAAADWEaTNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKqiuUqVKlSpVqlSpUiVT/j+pzvqu+beHrgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtUAAAF6CAYAAADWEaTNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nZgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# look at first two eof patterns\n", "for n in range(2):\n", " plt.figure(figsize=(12,6))\n", " plt.subplot(211)\n", " plt.pcolormesh(sst_pat[n], cmap='RdBu_r')\n", " plt.title('PCA Component %g' % n)\n", " plt.clim([-0.1,0.1])\n", " plt.subplot(212)\n", " plt.plot(sst_pac['T'], u[:,n])\n", " " ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXgAAAEACAYAAAC57G0KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKaWAFxFJKQW8iEhK/X+fXHwwjgo3HgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# magnitude of first 10 components\n", "plt.plot(s[:10] / s.sum(),'.-')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }