{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Polar amplification in simple models" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import climlab\n", "from climlab import constants as const" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## EBM with surface and atm layers" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Tatm: (90, 1) \n", " Ts: (90, 1) \n", "The subprocess tree: \n", "top: \n", " LW: \n", " SW: \n", " insolation: \n", "\n" ] } ], "source": [ "ebm = climlab.GreyRadiationModel(num_lev=1, num_lat=90)\n", "insolation = climlab.radiation.AnnualMeanInsolation(domains=ebm.Ts.domain)\n", "ebm.add_subprocess('insolation', insolation)\n", "ebm.subprocess.SW.flux_from_space = ebm.subprocess.insolation.insolation\n", "print ebm" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# add a fixed relative humidity process\n", "# (will only affect surface evaporation)\n", "h2o = climlab.radiation.ManabeWaterVapor(state=ebm.state, **ebm.param)\n", "ebm.add_subprocess('H2O', h2o)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Add surface heat fluxes\n", "shf = climlab.surface.SensibleHeatFlux(state=ebm.state, Cd=3E-4)\n", "lhf = climlab.surface.LatentHeatFlux(state=ebm.state, Cd=3E-4)\n", "# couple water vapor to latent heat flux process\n", "lhf.q = h2o.q\n", "ebm.add_subprocess('SHF', shf)\n", "ebm.add_subprocess('LHF', lhf)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 365 steps, 365.2422 days, or 1 years.\n", "Total elapsed time is 0.999336878378 years.\n" ] } ], "source": [ "ebm.integrate_years(1)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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moDFmret2BrAFCD/HKX2AKcaYbGPMbiAJa6Nw9Q9+bc0P7epBrfm8s9Y47TX/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\nA7MfdkwXzq+aRYQy+4EuXBI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xptDF8B1R6J1MROLdWR3OCTRryfCUrJ6SEzRradOuG6WU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\nhV4ppbycFnqllPJyWuiVUsrL/T+Zn6WQiTkzbwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(ebm.lat, ebm.Ts)\n", "plt.plot(ebm.lat, ebm.Tatm)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "co2ebm = climlab.process_like(ebm)\n", "co2ebm.subprocess['LW'].absorptivity = ebm.subprocess['LW'].absorptivity*1.1" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1095 steps, 1095.7266 days, or 3.0 years.\n", "Total elapsed time is 3.99734751351 years.\n" ] } ], "source": [ "co2ebm.integrate_years(3.)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# no heat transport but with evaporation -- no polar amplification\n", "plt.plot(ebm.lat, co2ebm.Ts - ebm.Ts)\n", "plt.plot(ebm.lat, co2ebm.Tatm - ebm.Tatm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Now with meridional heat transport" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Tatm: (90, 1) \n", " Ts: (90, 1) \n", "The subprocess tree: \n", "top: \n", " diffusion: \n", " LHF: \n", " SW: \n", " LW: \n", " H2O: \n", " SHF: \n", " insolation: \n", "\n" ] } ], "source": [ "diffebm = climlab.process_like(ebm)\n", "# thermal diffusivity in W/m**2/degC\n", "D = 0.6\n", "# meridional diffusivity in 1/s\n", "K = D / diffebm.Tatm.domain.heat_capacity\n", "d = climlab.dynamics.MeridionalDiffusion(K=K, state={'Tatm': diffebm.Tatm}, **diffebm.param)\n", "diffebm.add_subprocess('diffusion', d)\n", "print diffebm" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1095 steps, 1095.7266 days, or 3 years.\n", "Total elapsed time is 3.99734751351 years.\n" ] } ], "source": [ "diffebm.integrate_years(3)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(diffebm.lat, diffebm.Ts)\n", "plt.plot(diffebm.lat, diffebm.Tatm)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def inferred_heat_transport( energy_in, lat_deg ):\n", " '''Returns the inferred heat transport (in PW) by integrating the net energy imbalance from pole to pole.'''\n", " from scipy import integrate\n", " from climlab import constants as const\n", " lat_rad = np.deg2rad( lat_deg )\n", " return ( 1E-15 * 2 * np.math.pi * const.a**2 * integrate.cumtrapz( np.cos(lat_rad)*energy_in,\n", " x=lat_rad, initial=0. ) )" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the northward heat transport in this model\n", "Rtoa = np.squeeze(diffebm.timeave['ASR'] - diffebm.timeave['OLR'])\n", "plt.plot(diffebm.lat, inferred_heat_transport(Rtoa, diffebm.lat))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "## Now warm it up!\n", "co2diffebm = climlab.process_like(diffebm)\n", "co2diffebm.subprocess['LW'].absorptivity = diffebm.subprocess['LW'].absorptivity*1.1" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1826 steps, 1826.211 days, or 5 years.\n", "Total elapsed time is 8.99676981466 years.\n" ] } ], "source": [ "co2diffebm.integrate_years(5)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# with heat transport and evaporation \n", "# Get some modest polar amplifcation of surface warming\n", "# but larger equatorial amplification of atmospheric warming\n", "# Increased atmospheric gradient = increased poleward flux.\n", "plt.plot(diffebm.lat, co2diffebm.Ts - diffebm.Ts, label='Ts')\n", "plt.plot(diffebm.lat, co2diffebm.Tatm - diffebm.Tatm, label='Tatm')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Rtoa = np.squeeze(diffebm.timeave['ASR'] - diffebm.timeave['OLR'])\n", "Rtoa_co2 = np.squeeze(co2diffebm.timeave['ASR'] - co2diffebm.timeave['OLR'])\n", "plt.plot(diffebm.lat, inferred_heat_transport(Rtoa, diffebm.lat), label='1xCO2')\n", "plt.plot(diffebm.lat, inferred_heat_transport(Rtoa_co2, diffebm.lat), label='2xCO2')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Same thing but with NO EVAPORATION" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1095 steps, 1095.7266 days, or 3 years.\n", "Total elapsed time is 6.99535814865 years.\n", "Integrating for 1095 steps, 1095.7266 days, or 3 years.\n", "Total elapsed time is 11.9947804498 years.\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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J9u6SOAZufw+++6Zptb8xD56/0izbINyShLu4MOVH4dXvwr+vhZZ6mPtvuOsD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\n1JWP3Smc73xGApudm870t2A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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "diffebm2 = climlab.process_like(diffebm)\n", "diffebm2.remove_subprocess('LHF')\n", "diffebm2.integrate_years(3)\n", "co2diffebm2 = climlab.process_like(co2diffebm)\n", "co2diffebm2.remove_subprocess('LHF')\n", "co2diffebm2.integrate_years(3)\n", "# With transport and no evaporation...\n", "# No polar amplification, either of surface or air temperature!\n", "plt.plot(diffebm2.lat, co2diffebm2.Ts - diffebm2.Ts, label='Ts')\n", "plt.plot(diffebm2.lat, co2diffebm2.Tatm[:,0] - diffebm2.Tatm[:,0], label='Tatm')\n", "plt.legend()\n", "plt.figure()\n", "# And in this case, the lack of polar amplification is DESPITE an increase in the poleward heat transport.\n", "Rtoa = np.squeeze(diffebm2.timeave['ASR'] - diffebm2.timeave['OLR'])\n", "Rtoa_co2 = np.squeeze(co2diffebm2.timeave['ASR'] - co2diffebm2.timeave['OLR'])\n", "plt.plot(diffebm2.lat, inferred_heat_transport(Rtoa, diffebm2.lat), label='1xCO2')\n", "plt.plot(diffebm2.lat, inferred_heat_transport(Rtoa_co2, diffebm2.lat), label='2xCO2')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A column model approach" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Tatm: (90, 30) \n", " Ts: (90, 1) \n", "The subprocess tree: \n", "top: \n", " LW: \n", " SW: \n", " insolation: \n", "\n" ] } ], "source": [ "model = climlab.GreyRadiationModel(num_lev=30, num_lat=90, abs_coeff=1.6E-4)\n", "insolation = climlab.radiation.AnnualMeanInsolation(domains=model.Ts.domain)\n", "model.add_subprocess('insolation', insolation)\n", "model.subprocess.SW.flux_from_space = model.subprocess.insolation.insolation\n", "print model" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Convective adjustment for atmosphere only\n", "conv = climlab.convection.ConvectiveAdjustment(state={'Tatm':model.Tatm}, adj_lapse_rate=6.5,\n", " **model.param)\n", "model.add_subprocess('convective adjustment', conv)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# add a fixed relative humidity process\n", "# (will only affect surface evaporation)\n", "h2o = climlab.radiation.water_vapor.ManabeWaterVapor(state=model.state, **model.param)\n", "model.add_subprocess('H2O', h2o)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Add surface heat fluxes\n", "shf = climlab.surface.SensibleHeatFlux(state=model.state, Cd=1E-3)\n", "lhf = climlab.surface.LatentHeatFlux(state=model.state, Cd=1E-3)\n", "lhf.q = model.subprocess.H2O.q\n", "model.add_subprocess('SHF', shf)\n", "model.add_subprocess('LHF', lhf)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1095 steps, 1095.7266 days, or 3.0 years.\n", "Total elapsed time is 2.99801063513 years.\n" ] } ], "source": [ "model.integrate_years(3.)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_temp_section(model, timeave=True):\n", " fig = plt.figure()\n", " ax = fig.add_subplot(111)\n", " if timeave:\n", " field = model.timeave['Tatm'].transpose()\n", " else:\n", " field = model.Tatm.transpose()\n", " cax = ax.contourf(model.lat, model.lev, field)\n", " ax.invert_yaxis()\n", " ax.set_xlim(-90,90)\n", " ax.set_xticks([-90, -60, -30, 0, 30, 60, 90])\n", " fig.colorbar(cax)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_temp_section(model, timeave=False)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "co2model = climlab.process_like(model)\n", "co2model.subprocess['LW'].absorptivity = model.subprocess['LW'].absorptivity*1.1" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1095 steps, 1095.7266 days, or 3 years.\n", "Total elapsed time is 5.99602127027 years.\n" ] } ], "source": [ "co2model.integrate_years(3)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_temp_section(co2model, timeave=False)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Without transport, get equatorial amplification\n", "plt.plot(model.lat, co2model.Ts - model.Ts, label='Ts')\n", "plt.plot(model.lat, co2model.Tatm[:,0] - model.Tatm[:,0], label='Tatm')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Now with meridional heat tranpsort!" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true }, "outputs": [], "source": [ "diffmodel = climlab.process_like(model)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.46414342629e-07\n" ] } ], "source": [ "# thermal diffusivity in W/m**2/degC\n", "D = 0.05\n", "# meridional diffusivity in 1/s\n", "K = D / diffmodel.Tatm.domain.heat_capacity[0]\n", "print K" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Tatm: (90, 30) \n", " Ts: (90, 1) \n", "The subprocess tree: \n", "top: \n", " diffusion: \n", " LHF: \n", " SW: \n", " LW: \n", " H2O: \n", " SHF: \n", " convective adjustment: \n", " insolation: \n", "\n" ] } ], "source": [ "d = climlab.dynamics.MeridionalDiffusion(K=K, state={'Tatm':diffmodel.Tatm}, **diffmodel.param)\n", "diffmodel.add_subprocess('diffusion', d)\n", "print diffmodel" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1095 steps, 1095.7266 days, or 3 years.\n", "Total elapsed time is 5.99602127027 years.\n" ] } ], "source": [ "diffmodel.integrate_years(3)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_temp_section(diffmodel)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ZPRWjlFJeRotdKaW8jBa7Ukp5GS12pZTyMlrsSinlZbTYlVLKy2ix\nK6WUl9FiV0opL/N/1mtQPGOisXwAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the northward heat transport in this model\n", "Rtoa = np.squeeze(diffmodel.timeave['ASR'] - diffmodel.timeave['OLR'])\n", "plt.plot(diffmodel.lat, inferred_heat_transport(Rtoa, diffmodel.lat))" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true }, "outputs": [], "source": [ "## Now warm it up!\n", "co2diffmodel = climlab.process_like(diffmodel)\n", "co2diffmodel.subprocess['LW'].absorptivity = diffmodel.subprocess['LW'].absorptivity*1.1" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1095 steps, 1095.7266 days, or 3 years.\n", "Total elapsed time is 8.9940319054 years.\n" ] } ], "source": [ "co2diffmodel.integrate_years(3)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# With transport, get polar amplification...\n", "# of surface temperature, but not of air temperature!\n", "plt.plot(diffmodel.lat, co2diffmodel.Ts - diffmodel.Ts, label='Ts')\n", "plt.plot(diffmodel.lat, co2diffmodel.Tatm[:,0] - diffmodel.Tatm[:,0], label='Tatm')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Rtoa = np.squeeze(diffmodel.timeave['ASR'] - diffmodel.timeave['OLR'])\n", "Rtoa_co2 = np.squeeze(co2diffmodel.timeave['ASR'] - co2diffmodel.timeave['OLR'])\n", "plt.plot(diffmodel.lat, inferred_heat_transport(Rtoa, diffmodel.lat), label='1xCO2')\n", "plt.plot(diffmodel.lat, inferred_heat_transport(Rtoa_co2, diffmodel.lat), label='2xCO2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Same thing but with NO EVAPORATION\n" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Tatm: (90, 30) \n", " Ts: (90, 1) \n", "The subprocess tree: \n", "top: \n", " diffusion: \n", " SW: \n", " LW: \n", " H2O: \n", " SHF: \n", " convective adjustment: \n", " insolation: \n", "\n" ] } ], "source": [ "diffmodel2 = climlab.process_like(diffmodel)\n", "diffmodel2.remove_subprocess('LHF')\n", "print diffmodel2" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1095 steps, 1095.7266 days, or 3 years.\n", "Total elapsed time is 8.9940319054 years.\n" ] } ], "source": [ "diffmodel2.integrate_years(3)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1095 steps, 1095.7266 days, or 3 years.\n", "Total elapsed time is 11.9920425405 years.\n" ] } ], "source": [ "co2diffmodel2 = climlab.process_like(co2diffmodel)\n", "co2diffmodel2.remove_subprocess('LHF')\n", "co2diffmodel2.integrate_years(3)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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TplaXNEstdxHZUJbTwl4t1113HYODgxw7doxDhw6xb98+HnzwwVaXBSjcRUSW7dy5c/T1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\ncBcRiSCFu4hIBP1/fnMWLsqSCfgAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# With transport and no evaporation...\n", "# No polar amplification, either of surface or air temperature!\n", "plt.plot(diffmodel2.lat, co2diffmodel2.Ts - diffmodel2.Ts, label='Ts')\n", "plt.plot(diffmodel2.lat, co2diffmodel2.Tatm[:,0] - diffmodel2.Tatm[:,0], label='Tatm')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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2IgUs37idLtmLOFT1OiSqnO04SlmjxX6JnFVakFL7Rm50z2LK3CW24yjg0MLR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\nnH9fGRFZKCI78/+N84Oc9c7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Rtoa = np.squeeze(diffmodel2.timeave['ASR'] - diffmodel2.timeave['OLR'])\n", "Rtoa_co2 = np.squeeze(co2diffmodel2.timeave['ASR'] - co2diffmodel2.timeave['OLR'])\n", "plt.plot(diffmodel2.lat, inferred_heat_transport(Rtoa, diffmodel2.lat), label='1xCO2')\n", "plt.plot(diffmodel2.lat, inferred_heat_transport(Rtoa_co2, diffmodel2.lat), label='2xCO2')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Warming effect of a DECREASE IN EVAPORATION EFFICIENCY\n", "\n", "Take a column model that includes evaporation and heat transport, and reduce the drag coefficient by a factor of 2.\n", "\n", "How does the surface temperature change?" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1826 steps, 1826.211 days, or 5.0 years.\n", "Total elapsed time is 10.9954435714 years.\n" ] } ], "source": [ "diffmodel3 = climlab.process_like(diffmodel)\n", "diffmodel3.subprocess['LHF'].Cd *= 0.5\n", "diffmodel3.integrate_years(5.)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Reduced evaporation gives equatorially enhanced warming of surface\n", "# and cooling of near-surface air temperature\n", "plt.plot(diffmodel.lat, diffmodel3.Ts - diffmodel.Ts, label='Ts')\n", "plt.plot(diffmodel.lat, diffmodel3.Tatm[:,0] - diffmodel.Tatm[:,0], label='Tatm')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Same calculation in a two-layer EBM" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1826 steps, 1826.211 days, or 5.0 years.\n", "Total elapsed time is 8.99676981466 years.\n" ] } ], "source": [ "diffebm3 = climlab.process_like(diffebm)\n", "diffebm3.subprocess['LHF'].Cd *= 0.5\n", "diffebm3.integrate_years(5.)" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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BTM1N9tleeRoADmhuc/FhQQUvLt7C4k3VxIQF8ZPjMrn8hEwSo0KdLk8pdRDt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\nUcoP6Vh8pZTyUxoASinlpzQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Reduced evaporation gives equatorially enhanced warming of surface\n", "# and cooling of near-surface air temperature\n", "plt.plot(diffebm.lat, diffebm3.Ts - diffebm.Ts, label='Ts')\n", "plt.plot(diffebm.lat, diffebm3.Tatm[:,0] - diffebm.Tatm[:,0], label='Tatm')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pretty much the same result." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Some stuff with Band models" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Put in some ozone\n", "import netCDF4 as nc\n", "\n", "datapath = \"http://ramadda.atmos.albany.edu:8080/repository/opendap/latest/Top/Users/BrianRose/CESM_runs/\"\n", "endstr = \"/entry.das\"\n", "\n", "ozone = nc.Dataset( datapath + 'som_input/ozone_1.9x2.5_L26_2000clim_c091112.nc' + endstr )\n", "\n", "# Dimensions of the ozone file\n", "lat = ozone.variables['lat'][:]\n", "lon = ozone.variables['lon'][:]\n", "lev = ozone.variables['lev'][:]\n", "\n", "# Taking annual, zonal average of the ozone data\n", "O3_zon = np.mean( ozone.variables['O3'],axis=(0,3) )" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Tatm: (96, 26) \n", " Ts: (96, 1) \n", "The subprocess tree: \n", "top: \n", " LW: \n", " H2O: \n", " convective adjustment: \n", " SW: \n", " insolation: \n", "\n" ] } ], "source": [ "# make a model on the same grid as the ozone\n", "model1 = climlab.BandRCModel(lev=lev, lat=lat)\n", "insolation = climlab.radiation.AnnualMeanInsolation(domains=model1.Ts.domain)\n", "model1.add_subprocess('insolation', insolation)\n", "model1.subprocess.SW.flux_from_space = model1.subprocess.insolation.insolation\n", "print model1" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Set the ozone mixing ratio\n", "O3_trans = np.transpose(O3_zon)\n", "# Put in the ozone\n", "model1.absorber_vmr['O3'] = O3_trans" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'Q': 341.3,\n", " 'abs_coeff': 0.0001229,\n", " 'adj_lapse_rate': 6.5,\n", " 'albedo_sfc': 0.299,\n", " 'timestep': 86400.0,\n", " 'water_depth': 1.0}" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model1.param" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Convective adjustment for atmosphere only\n", "model1.remove_subprocess('convective adjustment')\n", "conv = climlab.convection.ConvectiveAdjustment(state={'Tatm':model1.Tatm}, **model1.param)\n", "model1.add_subprocess('convective adjustment', conv)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Add surface heat fluxes\n", "shf = climlab.surface.SensibleHeatFlux(state=model1.state, Cd=0.5E-3)\n", "lhf = climlab.surface.LatentHeatFlux(state=model1.state, Cd=0.5E-3)\n", "# set the water vapor input field for LHF process\n", "lhf.q = model1.q\n", "model1.add_subprocess('SHF', shf)\n", "model1.add_subprocess('LHF', lhf)" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [], "source": [ "model1.step_forward()" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 365 steps, 365.2422 days, or 1.0 years.\n", "Total elapsed time is 1.00207478763 years.\n" ] } ], "source": [ "model1.integrate_years(1.)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 365 steps, 365.2422 days, or 1.0 years.\n", "Total elapsed time is 2.00141166601 years.\n" ] } ], "source": [ "model1.integrate_years(1.)" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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KwveNTZ35B0A9NGV9HbZav2u+0OslhTD1g18G5+tt72r7jvnCHp5UwieFD4Km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\ncv8fLDJL1azBYcgAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_temp_section(model1, timeave=False)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [], "source": [ "co2model1 = climlab.process_like(model1)\n", "co2model1.absorber_vmr['CO2'] *= 2" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1095 steps, 1095.7266 days, or 3.0 years.\n", "Total elapsed time is 4.99942230115 years.\n" ] } ], "source": [ "co2model1.integrate_years(3.)" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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HEwdD0gvA/XW3o0tHAU/V3Ygupdbm1NoL3uZReLuZHdbPC0i6leLvruJg4OXS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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_temp_section(co2model1, timeave=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Model gets very very hot near equator. Very large equator-to-pole gradient." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Band model with heat transport and evaporation" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Tatm: (96, 26) \n", " Ts: (96, 1) \n", "The subprocess tree: \n", "top: \n", " diffusion: \n", " LHF: \n", " SW: \n", " LW: \n", " H2O: \n", " SHF: \n", " convective adjustment: \n", " insolation: \n", "\n" ] } ], "source": [ "diffmodel1 = climlab.process_like(model1)\n", "# thermal diffusivity in W/m**2/degC\n", "D = 0.01\n", "# meridional diffusivity in 1/s\n", "K = D / diffmodel1.Tatm.domain.heat_capacity[0]\n", "d = climlab.dynamics.MeridionalDiffusion(K=K, state={'Tatm': diffmodel1.Tatm}, **diffmodel1.param)\n", "diffmodel1.add_subprocess('diffusion', d)\n", "diffmodel1.absorber_vmr['CO2'] *= 4.\n", "print diffmodel1" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1095 steps, 1095.7266 days, or 3.0 years.\n", "Total elapsed time is 4.99942230115 years.\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "diffmodel1.integrate_years(3.)\n", "plot_temp_section(diffmodel1, timeave=False)" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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uyKFDMUq10Ny1e6isbeDKM7rZjqKaaVBiB64ZlsT/Lc1lbV6p7TitzlXTHWcBS4FeIpIv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\nb2dAAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Rtoa = np.squeeze(diffmodel1.timeave['ASR'] - diffmodel1.timeave['OLR'])\n", "plt.plot(diffmodel1.lat, inferred_heat_transport(Rtoa, diffmodel1.lat))" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(diffmodel1.lat, diffmodel1.Ts-273.15)" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 1826 steps, 1826.211 days, or 5 years.\n", "Total elapsed time is 9.99884460229 years.\n" ] } ], "source": [ "# Now double CO2\n", "co2diffmodel1 = climlab.process_like(diffmodel1)\n", "co2diffmodel1.absorber_vmr['CO2'] *= 2.\n", "co2diffmodel1.integrate_years(5)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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VNcr7MGzKZuZvOwFtRsCQnyAnHb7sAItGQtYFo6P+hRR2IYq6cAwOLGdWfjsG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\nnrTM44MfVpKbbzU6kcNI3L6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# No polar amplification in this model!\n", "plt.plot(diffmodel1.lat, co2diffmodel1.Ts - diffmodel1.Ts, label='Ts')\n", "plt.plot(diffmodel1.lat, co2diffmodel1.Tatm[:,0] - diffmodel1.Tatm[:,0], label='Tatm')\n", "plt.legend()\n", "plt.figure()\n", "Rtoa = np.squeeze(diffmodel1.timeave['ASR'] - diffmodel1.timeave['OLR'])\n", "Rtoa_co2 = np.squeeze(co2diffmodel1.timeave['ASR'] - co2diffmodel1.timeave['OLR'])\n", "plt.plot(diffmodel1.lat, inferred_heat_transport(Rtoa, diffmodel1.lat), label='1xCO2')\n", "plt.plot(diffmodel1.lat, inferred_heat_transport(Rtoa_co2, diffmodel1.lat), label='2xCO2')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [default]", "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": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 0 }