{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Multitaper Spectral Analysis Class Interface\n", "\n", "The `SHWindow` class provides an interface to compute window functions that concentrate energy spatially into a given region and within a given spherical harmonic bandwidth. This allows to calculate spectral estimates localized to specific regions.\n", "\n", "To demonstrate, in this example, we will determine the spectrum of the bathymetry of Earth and compare it with that of the surface topography. To this end, we will need to generate window functions that are separately concentrated over the land and the oceans. To start, we read the topography of Earth from the example files, create masks for the oceans and land, and plot the masks:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": true, "scrolled": true }, "outputs": [ { "data": { "image/png": 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/z5awoWlLJC9LBKry/NzfXxK7KWJn6Le0HejuF242yPi2u0ZIzyJ0XbQ25HsX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\nFBd4214umUafyoMCvsj6TNH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "from __future__ import print_function # only necessary if using Python 2.x\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from pyshtools.shclasses import SHCoeffs, SHGrid, SHWindow\n", "\n", "infile = '../ExampleDataFiles/srtmp300.msl'\n", "clm = SHCoeffs.from_file(infile)\n", "topo = clm.expand(grid='DH2')\n", "\n", "land_mask = (topo.data > 0)\n", "ocean_mask = ~land_mask\n", "\n", "fig, (col1, col2) = plt.subplots(1, 2, figsize=(13, 5))\n", "col1.imshow(land_mask, extent=(0, 360, -90, 90), cmap='viridis')\n", "col1.set(xlabel='longitude', ylabel='latitude', title='land mask')\n", "col2.imshow(ocean_mask, extent=(0, 360, -90, 90), cmap='viridis')\n", "col2.set(xlabel='longitude', ylabel='latitude', title='ocean mask');" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Optimally concentrated window functions\n", "\n", "SHTOOLS provides a method to solve the so called *concentration problem*, that is, to find windows with a specified maximum spherical harmonic degree `lmax` that are optimally concentrated in the region of interest. The smaller the region, the larger `lmax` will need to be to allow for a good concentration. Because the oceans span a larger area than the land mass, the spherical harmonic bandwidth of the ocean windows `lmax_ocean` can be smaller than the spherical harmonic bandwidth of the land windows `lmax_land` while still providing the same number of well concentrated windows. \n", "\n", "Creating localization windows is easy using the `SHWwindow` method `from_mask()`. All we need to do is provide the mask, the maximum spherical harmonic bandwidth, and optionally, the number of windows to return:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true, "scrolled": false }, "outputs": [], "source": [ "lmax_ocean = 9\n", "lmax_land = 21\n", "nwins = 10\n", "\n", "ocean_windows = SHWindow.from_mask(ocean_mask, lmax_ocean, nwins)\n", "land_windows = SHWindow.from_mask(land_mask, lmax_land, nwins)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We can find out information about the windows that were created using the `info()` method, and the windows can be plotted using the `plot_windows()` method. In plotting the windows, the *loss factor* of the window is provided above each image. This is simply 1 minus the *concentration factor*, which is the proportion of the energy of the window that lies outside the region of interest. For our example, it is seen that in order to obtain 10 well localized windows with loss factors of less than 0.1%, the spectral bandwidth of the land windows needs to be more than twice as large as that of the ocean windows." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ocean windows\n", "kind = 'mask'\n", "lwin = 9\n", "nwin = 10\n", "Taper weights are not set.\n" ] }, { "data": { "image/png": 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4cqjmSep7nFDD6DPUiDYmAE4pBTsXYfitzLnKqFRUvZWatYUrG5VGnTfCEcrm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "land windows\n", "kind = 'mask'\n", "lwin = 21\n", "nwin = 10\n", "Taper weights are not set.\n" ] }, { "data": { "image/png": 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Bl2Ec7DqFUg+/8Tk+thltVAIQzPPtHgjZBegDrHJ9vxbYFHbpLqSUG4ANrr8H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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print('ocean windows')\n", "ocean_windows.info()\n", "fig, ax = ocean_windows.plot_windows(nwins)\n", "\n", "print('land windows')\n", "land_windows.info()\n", "fig, ax = land_windows.plot_windows(nwins)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The following plot shows the power spectra of all windows. In particular, it is noted that the power of the land windows extends to higher degrees than does the ocean windows. The ocean windows will thus allow for spectral estimates with lower biasses given the lower bandwidth of these windows." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true, "scrolled": true }, "outputs": [ { "data": { "image/png": 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9KiGszzzj2kFsReVYOFKqlDitZ82yN4XqpUtiPvLxkTf+3r2dXwuwJyycFTy0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\nVFriXY938Z/m/0FT5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "winpower_land = land_windows.spectra()\n", "winpower_ocean = ocean_windows.spectra()\n", "\n", "fig, ax = plt.subplots(1, 1)\n", "for itaper in range(nwins):\n", " ax.plot(winpower_ocean[:, itaper], c='blue')\n", " \n", "for itaper in range(nwins):\n", " ax.plot(winpower_land[:, itaper], c='green')\n", "\n", "ax.set(xlabel='degree l', ylabel='power per degree l', title='ocean (blue) and land (green) window power');" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## The coupling matrix\n", "\n", "We next plot the coupling matrix associated with the land and ocean windows. The coupling matrix relates the statistical expectation of the windowed power spectrum to that of the global unwindowed power spectrum. For this example, we will assume that the topography of Earth is known only to degree 60." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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D2zmUD8WLH9tD1/E9XmMIm3iVXSMjgAT4lr7BSSxiDV25g4N5QwZynC7mXN7h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\nf8JLF2MYhtGhFDPp/qSITMT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lmax_data = 60\n", "\n", "lmax_valid1 = lmax_data - lmax_ocean\n", "lmax_full1 = lmax_data + lmax_ocean\n", "fig1, ax1 = ocean_windows.plot_coupling_matrix(lmax_data, nwins, mode='full', show=False)\n", "ax1.plot([-0.5, lmax_data + 0.5], [lmax_valid1, lmax_valid1], c='red')\n", "ax1.text(1, lmax_valid1 + 3, 'affected by degrees > lmax_data', fontsize=12, color='red')\n", "ax1.set(xlim=[-0.5, lmax_data + 0.5], ylim=[lmax_full1, 0.], title='ocean coupling matrix')\n", "\n", "fig2, ax2 = land_windows.plot_coupling_matrix(lmax_data, nwins, mode='full', show=False)\n", "lmax_valid2 = lmax_data - lmax_land\n", "lmax_full2 = lmax_data + lmax_land\n", "ax2.plot([-0.5, lmax_data + 0.5], [lmax_valid2, lmax_valid2], c='red')\n", "ax2.text(1, lmax_valid2 + 4, 'affected by degrees > lmax_data', fontsize=12, color='red')\n", "ax2.set(xlim=[-0.5, lmax_data + 0.5], ylim=[lmax_full2, 0.], title='land coupling matrix');" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "deletable": true, "editable": true, "scrolled": false }, "source": [ "The above plotted coupling matrices reflects the different quality of the land and ocean spectra. The higher degree part (towards the bottom right) corresponds to a simple convolution, as it becomes asymptotically symmetric about the diagonal. The land windows (bottom) couple degrees over a wider range and therefore decrease the spectral resolution that can be achieved.\n", "\n", "It is also seen that the coupling matrix is asymmetric at the lowest degrees. Here, low input degrees map to higher output degrees. For example, the input degree 0 maps strongest to about degree 3 in the ocean case and to about degree 8 in the land case. This is a consequence of the fact that we can not estimate the global mean or very large wavelength structures from subregions that are much smaller than the feature of interest. Low degree energy maps therefore to the lowest window degrees, where they increase the overall power.\n", "\n", "A given localized spectral estimate at degree `l` contains information from the global field between degrees `l-lwin` and `l+lwin`. For this example, we assumed that the data were expanded to degree 60. The red line in these plots thus denotes the degree where the localized spectral esimates contain information from beyond the maximum degree of the data. In general, one should only interpret the localized spectrum up to a maximum degree `lmax_data - lwin`." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### Regional spectral estimates\n", "\n", "We are now in a position to compute regional power spectral estimates of the land and of the ocean topography as well as the corresponding power spectra that we would *expect* to see on land and in the ocean if Earth's topography was stationary and isotropic (which it isn't).\n", "\n", "We first calculate the global power spectrum:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "power_global = clm.spectrum()\n", "lmax_global = clm.lmax\n", "ls_global = np.arange(len(power_global))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Next, we use the methods `multitaper_spectrum()` to determine the multitaper power spectrum of the oceans and land, and then we calculate the expected spectrum if the Earth's topography was stationary and isostropic. For the later, we use the dot product of the coupling matrix and global spectrum, but we also could have used the method `biased_spectrum()` to obtain the same thing:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "power_ocean, dpower_ocean = ocean_windows.multitaper_spectrum(clm, nwins)\n", "power_land, dpower_land = land_windows.multitaper_spectrum(clm, nwins)\n", "\n", "cmatrix_ocean = ocean_windows.coupling_matrix(lmax_global, nwins, mode='valid')\n", "power_ocean_predicted = np.dot(cmatrix_ocean, power_global)\n", "ls_ocean = np.arange(len(power_ocean))\n", "\n", "cmatrix_land = land_windows.coupling_matrix(lmax_global, nwins, mode='valid')\n", "power_land_predicted = np.dot(cmatrix_land, power_global)\n", "ls_land = np.arange(len(power_land))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Finally, let's plot the masked topography of the oceans and land, and then plot the measured and predicted multitaper power spectra:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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GB46R7T3mPa4ous/TpjG93tYmMp+fE8Zr03T2D357Cw4djIa43W3i/v0PHZPj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ldSUEeAZw84Sb+eeJ/3ToykhX0dMXCMyeDcuXq63Mxo5Vm6N//jnccQfYXLj8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (col1, col2) = plt.subplots(1, 2, figsize=(10, 5))\n", "col1.imshow(-topo.data * ocean_mask, cmap='viridis', extent=(0, 360, -90, 90))\n", "col2.imshow(topo.data * land_mask, cmap='viridis', extent=(0, 360, -90, 90))\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(10, 5))\n", "ax.plot(ls_global, power_global, c='grey', alpha=0.5, lw=2, label='global')\n", "ax.plot(ls_ocean, power_ocean, '-', c='blue', label='ocean (measured)')\n", "ax.plot(ls_ocean, power_ocean_predicted, '--', c='blue', label='ocean (predicted)')\n", "ax.plot(ls_land, power_land, '-', c='green', label='land (measured)')\n", "ax.plot(ls_land, power_land_predicted, '--', c='green', label='land (predicted)')\n", "\n", "ax.legend(loc=3)\n", "ax.set(xscale='log', yscale='log', xlabel='degree', ylabel='power')\n", "ax.grid(True)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "As we should have expected, the power spectra are vastly different. For degrees greater than the window bandwidths, the observed ocean spectrum is seen to be significantly lower than that of the land spectrum up until about degree 100. The ocean spectrum has high power for degrees less than the window bandwidth because the average elevation of ocean is much less than 0. The land spectrum is entirely missing the low degree component because the land elevations don't deviate much from 0.\n", "\n", "This plot also shows that the predicted and observed spectra for the oceans and land are vastly different. This is simply a reflection of the fact that Earth's topopgraphy is not stationary and isostropic, and that there are in fact major differences between the oceans and land. \n", "\n", "We next show that the measured and expected spectra would have been more similar if the topography was in fact a stationary process. We illustrate this by replacing the observed topography of Earth with a random model that has the same expectation for the power spectrum. First, we create the new topography from random coefficients:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "np.random.seed(0) # fix seed for reproducable figure\n", "coeffs_stationary = SHCoeffs.from_random(power_global)\n", "grid_stationary = coeffs_stationary.expand('DH2')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Next, we proceed as above and calculate the relevant multitaper spectra:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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QE56bHkcKz5FiQFlXk+q6VVMvKekmJZPi6VjLPgvw6nW6cUUnqtoq26VkwlI8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\noqJiRahErKKioqKioqJiRfh/01If2ISHaE8AAAAASUVORK5CYII=\n", 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jiuM3ZoxOyh59VA9Ie9NNurrSp41h4kJC9NAiX3+tf/ak5AzgmQnP8M22b7j2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "power_ocean, dpower_ocean = ocean_windows.multitaper_spectrum(coeffs_stationary, nwins)\n", "power_land, dpower_land = land_windows.multitaper_spectrum(coeffs_stationary, nwins)\n", "\n", "cmatrix_ocean = ocean_windows.coupling_matrix(lmax_global, nwins, mode='valid')\n", "power_ocean_predicted = np.dot(cmatrix_ocean, power_global)\n", "ls_ocean = np.arange(len(power_ocean))\n", "\n", "cmatrix_land = land_windows.coupling_matrix(lmax_global, nwins, mode='valid')\n", "power_land_predicted = np.dot(cmatrix_land, power_global)\n", "ls_land = np.arange(len(power_land))\n", "\n", "fig, (col1, col2) = plt.subplots(1, 2, figsize=(10, 5))\n", "col1.imshow(grid_stationary.data * ocean_mask, cmap='viridis')\n", "col2.imshow(grid_stationary.data * land_mask, cmap='viridis')\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(10, 5))\n", "\n", "ax.plot(ls_global, power_global, c='grey', alpha=0.5, lw=2, label='global')\n", "ax.plot(ls_ocean, power_ocean, '-', c='blue', label='ocean (measured)')\n", "ax.plot(ls_ocean, power_ocean_predicted, '--', c='blue', label='ocean (predicted)')\n", "ax.plot(ls_land, power_land, '-', c='green', label='land (measured)')\n", "ax.plot(ls_land, power_land_predicted, '--', c='green', label='land (predicted)')\n", "\n", "ax.legend(loc=3)\n", "ax.set(title='regional spectra of a stationary random model', xscale='log', yscale='log', xlabel='degree', ylabel='power')\n", "ax.grid(True)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "In this case, the regional estimates of the stationary model resemble closely the predicted ones. The lowest degrees are more sensitive to fluctuations of the random model given that these spectral estimates where constructed based on a smaller number of localized coefficients.\n", "\n", "To compare global, ocean and land spectra, the coupling matrix can be *inverted* to remove the bias. In the case of the stationary model, we expect to retrieve the same original input power spectrum, because apart from random fluctuations, the differences of the power spectra are entirely due to the window effects. In the case of the real non-stationary topography of the Earth on the other hand, we would get three power spectra that correspond to equivalent stationary global models that have the observed regional spectra. This inversion, however, has to be done with care, because the coupling matrix is singular." ] } ], "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": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 0 }