{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "The seasonal cycle of surface temperature" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Look at the observed seasonal cycle in the NCEP reanalysis data.\n", "\n", "Read in the necessary data from the online server.\n", "\n", "The catalog is here: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "import ClimateUtils as clim\n", "import orbital\n", "import ebm\n", "import netCDF4 as nc\n", "\n", "datapath = \"http://ramadda.atmos.albany.edu:8080/repository/opendap/latest/Top/Users/Brian+Rose/CESM+runs/\"\n", "endstr = \"/entry.das\"" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "ncep_url = \"http://www.esrl.noaa.gov/psd/thredds/dodsC/Datasets/ncep.reanalysis.derived/\"\n", "ncep_air = nc.Dataset( ncep_url + \"pressure/air.mon.1981-2010.ltm.nc\" )\n", "ncep_Ts = nc.Dataset( ncep_url + \"surface_gauss/skt.sfc.mon.1981-2010.ltm.nc\" )\n", "lat_ncep = ncep_Ts.variables['lat'][:]; lon_ncep = ncep_Ts.variables['lon'][:]\n", "Ts_ncep = ncep_Ts.variables['skt'][:]\n", "print Ts_ncep.shape" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(12, 94, 192)\n" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load the topography file from CESM, just so we can plot the continents." ] }, { "cell_type": "code", "collapsed": false, "input": [ "topo = nc.Dataset( datapath + 'som_input/USGS-gtopo30_1.9x2.5_remap_c050602.nc' + endstr )\n", "lat_cesm = topo.variables['lat'][:]\n", "lon_cesm = topo.variables['lon'][:]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make two maps: one of annual mean surface temperature, another of the seasonal range (max minus min)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "maxTs = np.max(Ts_ncep,axis=0)\n", "minTs = np.min(Ts_ncep,axis=0)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = figure( figsize=(16,6) )\n", "\n", "ax1 = fig.add_subplot(1,2,1)\n", "cax1 = ax1.pcolormesh( lon_ncep, lat_ncep, mean(Ts_ncep, axis=0), cmap=plt.cm.seismic )\n", "cbar1 = colorbar(cax1)\n", "ax1.set_title('Annual mean surface temperature (degC)', fontsize=14 )\n", "\n", "ax2 = fig.add_subplot(1,2,2)\n", "cax2 = ax2.pcolormesh( lon_ncep, lat_ncep, maxTs - minTs )\n", "cbar2 = colorbar(cax2)\n", "ax2.set_title('Seasonal temperature range (degC)', fontsize=14)\n", "\n", "for ax in [ax1,ax2]:\n", " ax.contour( lon_cesm, lat_cesm, topo.variables['LANDFRAC'], [0.5,0.5], colors='k');\n", " ax.axis([0, 360, -90, 90])\n", " ax.set_xlabel('Longitude', fontsize=14 ); ax.set_ylabel('Latitude', fontsize=14 )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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m5gCArKwsSCQSmJiY4Nq1a5gxYwZMTEwwYsQILFiwoJQ5U8oLOjZ/OKjMHwYq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\neF0Cr/qFCm4+eslM/qSquWnaHzBsayHaj1VPY5rYUNehxbBN9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W83eOF+qJ0uf8dZm/VT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XM0OILvZhLrC5/BWDyelvq87PsnJJKytFbcTuJGl/0yxUuw7OMp+xeC5u8Y/KAsKtLy27VL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\nJI22DTxv8r7k8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1BHPDYDL1NZOhsYYsMIo2U1/XBvJIc1kuXKy6qT6hpsawpYZAXsLjlM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\nmHyMA9osJjGrxWKw+BIiFsEXMFl9B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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make a contour plot of the zonal mean temperature as a function of time of year" ] }, { "cell_type": "code", "collapsed": false, "input": [ "[-65,-55,-45,-35,-25,-15,-5,5,15,25,35,45,55,65]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "[-65, -55, -45, -35, -25, -15, -5, 5, 15, 25, 35, 45, 55, 65]" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "arange(-65,75,10)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "array([-65, -55, -45, -35, -25, -15, -5, 5, 15, 25, 35, 45, 55, 65])" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "Tmax = 65; Tmin = -Tmax; delT = 10\n", "clevels = arange(Tmin,Tmax+delT,delT)\n", "\n", "fig_zonobs = figure( figsize=(10,6) )\n", "ax = fig_zonobs.add_subplot(111)\n", "cax = contourf( arange(12)+0.5, lat_ncep, transpose(mean( Ts_ncep, axis=2 )), levels=clevels, \n", " cmap=plt.cm.seismic, vmin=Tmin, vmax=Tmax )\n", "ax.set_xlabel('Month', fontsize=16)\n", "ax.set_ylabel('Latitude', fontsize=16 )\n", "cbar = colorbar(cax)\n", "ax.set_title('Zonal mean surface temperature (degC)', fontsize=20)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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aX6NqHDO5BmOHiIjMUmM8cJaHzGHskMtxQ0SkHmp9vTJ6qDzGDrmUUjY+ShmH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\n1asBmJ/tkSTJlcMmIiIiFXPpbqzdu3d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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Exploring the amplitude of the seasonal cycle with an EBM" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are looking at the 1D (zonally averaged) energy balance model with diffusive heat transport. The equation is" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$C \\frac{\\partial T(\\phi,t)}{\\partial t} = \\big(1-\\alpha\\big) Q(\\phi,t) - \\Big(A+B T(\\phi,t) \\Big) + \n", "\\frac{K}{\\cos\\phi} \\frac{\\partial}{\\partial \\phi} \\bigg( \\cos\\phi \\frac{\\partial T}{\\partial \\phi} \\bigg)$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and the code in `ebm.py` solves this equation numerically." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One handy feature of the EBM code: the function `integrate_years()` automatically calculates the time averaged temperature. So if we run it for exactly one year, we get the annual mean temperature saved in the field `T_timeave`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will look at the seasonal cycle of temperature in three different models with different heat capacities (which we express though an equivalent depth of water in meters):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "model1 = ebm.EBM_seasonal()\n", "model1.integrate_years(1, verbose=True)\n", "\n", "water_depths = array([2., 10., 50.])\n", "\n", "num_depths = water_depths.size\n", "Tann = empty( [model1.num_points, num_depths] )\n", "models = repeat(ebm.EBM_seasonal(), num_depths )\n", "\n", "for n in range(num_depths):\n", " models[n] = ebm.EBM_seasonal()\n", " models[n].set_water_depth(water_depths[n])\n", " models[n].integrate_years(20., verbose=False )\n", " models[n].integrate_years(1., verbose=False)\n", " Tann[:,n] = models[n].T_timeave" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Integrating for 90 steps or 1 years.\n", "Total elapsed time is 1.0 years.\n" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "All models should have the same annual mean temperature:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot(models[0].lat, Tann)\n", "xlim(-90,90)\n", "xlabel('Latitude')\n", "ylabel('Temperature (degC)')\n", "title('Annual mean temperature in the EBM')\n", "legend( water_depths.astype(str) )\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ddFZaWoqSkpJPni8pKan0eULExf/nteh7Nw7tTjSuu5VxpW3H9oj6bgP6/L0C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\njENOTk4sOjpaOJ2ZmcnMzMxYamoqCwk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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is no automatic function in the `ebm.py` code to keep track of minimum and maximum temperatures (though we might add that in the future!)\n", "\n", "Instead we'll step through one year \"by hand\" and save all the temperatures." ] }, { "cell_type": "code", "collapsed": false, "input": [ "Tyear = empty([model1.num_points, model1.num_steps_per_year, num_depths])\n", "for n in range(num_depths):\n", " for m in range(model1.num_steps_per_year):\n", " models[n].step_forward()\n", " Tyear[:,m,n] = models[n].T" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make a figure to compare the observed zonal mean seasonal temperature cycle to what we get from the EBM with different heat capacities:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = figure( figsize=(20,10) )\n", "\n", "ax = fig.add_subplot(2,num_depths,2)\n", "cax = contourf( arange(12)+0.5, lat_ncep, transpose(mean( Ts_ncep, axis=2 )), levels=clevels, \n", " cmap=plt.cm.seismic, vmin=Tmin, vmax=Tmax )\n", "ax.set_xlabel('Month')\n", "ax.set_ylabel('Latitude')\n", "cbar = colorbar(cax)\n", "ax.set_title('Zonal mean surface temperature - observed (degC)', fontsize=20)\n", "\n", "for n in range(num_depths):\n", " ax = fig.add_subplot(2,num_depths,num_depths+n+1)\n", " cax = contourf( 4*arange(models[n].num_steps_per_year), models[n].lat, Tyear[:,:,n], levels=clevels, \n", " cmap=plt.cm.seismic, vmin=Tmin, vmax=Tmax )\n", " cbar1 = colorbar(cax)\n", " ax.set_title('water_depth = ' + str(models[n].water_depth) + ' meters', fontsize=20 )\n", " ax.set_xlabel('Days of year', fontsize=14 )\n", " ax.set_ylabel('Latitude', fontsize=14 )\n", "\n", "#fig.set_title('Temperature in seasonal EBM with various water depths', fontsize=14)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Skho1aqTly5erV69euuqqqxQZGalBgwapTp06fumPvuwTJXH33Xfr3//+tz77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\niQoKCtSvXz89+OCDk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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Which one looks more realistic? Depends a bit on where you look. But overall, the observed seasonal cycle matches the 10 meter case best. The effective heat capacity governing the seasonal cycle of the zonal mean temperature is closer to 10 meters of water than to either 2 or 50 meters." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Making an animation of the EBM solutions" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fpath = '/Users/Brian/Dropbox/PythonStuff/ebm_seasonal_frames/'\n", "\n", "fig = figure( figsize=(20,5) )\n", "#for m in range(model2.num_steps_per_year):\n", "for m in range(1):\n", " thisday = m * models[0].timestep / clim.seconds_per_day\n", " Q = orbital.daily_insolation( models[n].lat, thisday )\n", " for n in range(num_depths):\n", " c1 = 'b'\n", " ax = fig.add_subplot(1,num_depths,n+1)\n", " ax.plot( models[n].lat, Tyear[:,m,n], c1 )\n", " ax.set_title('water_depth = ' + str(models[n].water_depth) + ' meters', fontsize=20 )\n", " ax.set_xlabel('Latitude', fontsize=14 )\n", " if n is 0:\n", " ax.set_ylabel('Temperature', fontsize=14, color=c1 )\n", " ax.set_xlim([-90,90])\n", " ax.set_ylim([-60,60])\n", " for tl in ax.get_yticklabels():\n", " tl.set_color(c1)\n", " grid()\n", " \n", " c2 = 'r'\n", " ax2 = ax.twinx()\n", " ax2.plot( models[n].lat, Q, c2)\n", " if n is 2:\n", " ax2.set_ylabel('Insolation (W m$^{-2}$)', color=c2, fontsize=14)\n", " for tl in ax2.get_yticklabels():\n", " tl.set_color(c2)\n", " ax2.set_xlim([-90,90])\n", " ax2.set_ylim([0,600])\n", " \n", " filename = fpath + 'ebm_seasonal' + str(m).zfill(4) + '.png'\n", " #fig.savefig(filename)\n", " #fig.clear()\n", " show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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FniChGFG1alUsXLgw0fixZcsW7NmzBxUrVgQQex5du3YtwfMoV65cOHXqFI4dO4Znnnkm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\ny/btQIECq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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "The seasonal cycle for a planet with 90\u00ba obliquity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The EBM code uses our familiar `orbital.py` code to calculate insolation, and therefore it's easy to set up a model with different orbital parameters. Here is an example with **very** different orbital parameters: 90\u00ba obliquity. We looked at the distribution of insolation by latitude and season for this type of planet in the last homework." ] }, { "cell_type": "code", "collapsed": false, "input": [ "model_highobl = ebm.EBM_seasonal()\n", "orb_highobl = orbital.lookup_parameters()\n", "orb_highobl['obliquity'] = 90.\n", "orb_highobl['ecc'] = 0.\n", "print orb_highobl\n", "model_highobl.make_insolation_array( orb = orb_highobl )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "{'long_peri': array(281.37), 'ecc': 0.0, 'obliquity': 90.0}\n" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Repeat the same procedure to calculate and store temperature throughout one year, after letting the models run out to equilibrium." ] }, { "cell_type": "code", "collapsed": false, "input": [ "Tann_highobl = empty( [model_highobl.num_points, num_depths] )\n", "models_highobl = repeat(model_highobl, num_depths )\n", "\n", "for n in range(num_depths):\n", " models_highobl[n] = ebm.EBM_seasonal()\n", " models_highobl[n].set_water_depth(water_depths[n])\n", " models_highobl[n].make_insolation_array( orb = orb_highobl )\n", " models_highobl[n].integrate_years(40., verbose=False )\n", " models_highobl[n].integrate_years(1.)\n", " Tann_highobl[:,n] = models_highobl[n].T_timeave\n", "\n", "Tyear_highobl = empty([model_highobl.num_points, model_highobl.num_steps_per_year, num_depths])\n", "for n in range(num_depths):\n", " for m in range(model_highobl.num_steps_per_year):\n", " models_highobl[n].step_forward()\n", " Tyear_highobl[:,m,n] = models_highobl[n].T" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Integrating for 90 steps or 1.0 years.\n", "Total elapsed time is 41.0 years.\n", "Integrating for 90 steps or 1.0 years." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Total elapsed time is 41.0 years.\n", "Integrating for 90 steps or 1.0 years." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Total elapsed time is 41.0 years.\n" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "And plot the seasonal temperature cycle same as we did above:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = figure( figsize=(20,5) )\n", "Tmax_highobl = 125; Tmin_highobl = -Tmax_highobl; delT_highobl = 10\n", "clevels_highobl = arange(Tmin_highobl, Tmax_highobl+delT_highobl, delT_highobl)\n", "\n", "for n in range(num_depths):\n", " ax = fig.add_subplot(1,num_depths,n+1)\n", " cax = contourf( 4*arange(models_highobl[n].num_steps_per_year), models_highobl[n].lat, Tyear_highobl[:,:,n], \n", " levels=clevels_highobl, cmap=plt.cm.seismic, vmin=Tmin_highobl, vmax=Tmax_highobl )\n", " cbar1 = colorbar(cax)\n", " ax.set_title('water_depth = ' + str(models_highobl[n].water_depth) + ' meters', fontsize=20 )\n", " ax.set_xlabel('Days of year', fontsize=14 )\n", " ax.set_ylabel('Latitude', fontsize=14 )\n", "\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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AYMaMcowfXx7/d3GxxThBAKqPpaiqUl2MBGnrvzTSnfcy1b6GnEq415DE6X7y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\nsptwnJ0HAGe5nbXhJKMuW/82AJBEhxyIgxUjjmzmm/sdJWEDyY5g8tV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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the temperature range is much larger than for the Earth-like case above (but same contour interval, 10 degC)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Why is the temperature so uniform in the north-south direction with 50 meters of water?\n", "\n", "To see the reason, let's plot the annual mean insolation at 90\u00ba obliquity, alongside the present-day annual mean insolation:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "lat = linspace(-90, 90, 181)\n", "days = linspace(1.,50.)/50 * clim.days_per_year\n", "Q_present = orbital.daily_insolation( lat, days )\n", "Q_highobl = orbital.daily_insolation( lat, days, **orb_highobl )\n", "Q_present_ann = mean( Q_present, axis=1 )\n", "Q_highobl_ann = mean( Q_highobl, axis=1 )" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "plot( lat, Q_present_ann, label='Earth' )\n", "plot( lat, Q_highobl_ann, label='90deg obliquity' )\n", "grid()\n", "legend(loc='lower center')\n", "xlabel('Latitude', fontsize=14 )\n", "ylabel('W m$^{-2}$', fontsize=14 )\n", "title('Annual mean insolation for two different obliquities', fontsize=16)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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qMHX162JLny3Y3X83FogXoPeu3khJS1G6DlXqgygPMHvKF2XbM0eSg1/jfkWr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\n3rRIRPD19UWLFi1knNizZ88AcKtSb9++HR4eHgA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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Though this is a bit misleading, because our model prescribes an increase in albedo from the equator to the pole. So the absorbed shortwave gradients look even more different." ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }