{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Budyko Transport for Energy Balance Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this document an Energy Balance Model (EBM) is set up with the energy tranport parametrized through the the **budyko type parametrization** term (instead of the default diffusion term), which characterizes the local energy flux through the difference between local temperature and global mean temperature." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$H(\\varphi) = - b [T(\\varphi) - \\bar{T}]$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "where $T(\\varphi)$ is the surface temperature across the latitude $\\varphi$, $\\bar{T}$ the global mean temperature and $H(\\varphi)$ is the transport of energy in an Energy Budget noted as:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$C(\\varphi) \\frac{dT(\\varphi)}{dt} = R\\downarrow (\\varphi) - R\\uparrow (\\varphi) + H(\\varphi)$$" ] }, { "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": [ "### Model Creation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An EBM model instance is created through" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# model creation\n", "ebm_budyko= climlab.EBM()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model is set up by default with a meridional diffusion term." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Ts: (90, 1) \n", "The subprocess tree: \n", "top: \n", " diffusion: \n", " LW: \n", " albedo: \n", " iceline: \n", " cold_albedo: \n", " warm_albedo: \n", " insolation: \n", "\n" ] } ], "source": [ "# print model states and suprocesses\n", "print ebm_budyko" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create new subprocess" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The creation of a subprocess needs some information from the model, especially on which model state the subprocess should be defined on." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# create Budyko subprocess\n", "budyko_transp = climlab.dynamics.BudykoTransport(b=3.81,\n", " state=ebm_budyko.state,\n", " **ebm_budyko.param)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the model's **whole state dictionary** is given as **input** to the subprocess. In case only the temperature field ``ebm_budyko.state['Ts']`` is given, a new state dictionary would be created which holds the surface temperature with the key ``'default'``. That raises an error as the budyko transport process refers the temperature with key ``'Ts'``." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now the new transport subprocess has to be merged into the model. The `diffusion` subprocess has to be removed." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# add the new transport subprocess\n", "ebm_budyko.add_subprocess('budyko_transport',budyko_transp)\n", "\n", "# remove the old diffusion subprocess\n", "ebm_budyko.remove_subprocess('diffusion')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Ts: (90, 1) \n", "The subprocess tree: \n", "top: \n", " LW: \n", " budyko_transport: \n", " albedo: \n", " iceline: \n", " cold_albedo: \n", " warm_albedo: \n", " insolation: \n", "\n" ] } ], "source": [ "print ebm_budyko" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model integration & Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To visualize the model state at beginning of integration we first integrate the model only for one timestep:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# integrate model for a single timestep\n", "ebm_budyko.step_forward()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following code plots the current surface temperature, albedo and energy budget:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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ebaBENvYft3YtsXVOXwE8BdjC8dbHdcByNGGcAhzx1iuBFsBsB3QCzgXOyEYM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Z1xd3dPvIaTkxPZs2fHw8MDpRQ5cuRg9+7dbN26lR07duDu7o6fn1/idYG77u/h4YGLiwtubm6J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\n8pIuo+UydiwcPmwWWq9dG8aNszoia339tUmUe/SAd9+VVtOzCggwvyBJC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# creating plot figure\n", "fig = plt.figure(figsize=(15,10))\n", "\n", "# Temperature plot\n", "ax1 = fig.add_subplot(221)\n", "ax1.plot(ebm_budyko.lat,ebm_budyko.Ts)\n", "\n", "ax1.set_xticks([-90,-60,-30,0,30,60,90])\n", "ax1.set_xlim([-90,90])\n", "ax1.set_title('Surface Temperature', fontsize=14)\n", "ax1.set_ylabel('(degC)', fontsize=12)\n", "ax1.grid()\n", "\n", "\n", "# Albedo plot\n", "ax2 = fig.add_subplot(223, sharex = ax1)\n", "ax2.plot(ebm_budyko.lat,ebm_budyko.albedo)\n", "\n", "ax2.set_title('Albedo', fontsize=14)\n", "ax2.set_xlabel('latitude', fontsize=10)\n", "ax2.set_ylim([0,1])\n", "ax2.grid()\n", "\n", "# Net Radiation plot\n", "ax3 = fig.add_subplot(222, sharex = ax1)\n", "ax3.plot(ebm_budyko.lat, ebm_budyko.OLR, label='OLR',\n", " color='cyan')\n", "ax3.plot(ebm_budyko.lat, ebm_budyko.ASR, label='ASR',\n", " color='magenta')\n", "ax3.plot(ebm_budyko.lat, ebm_budyko.ASR-ebm_budyko.OLR, \n", " label='net radiation',\n", " color='red')\n", "\n", "ax3.set_title('Net Radiation', fontsize=14)\n", "ax3.set_ylabel('(W/m$^2$)', fontsize=12)\n", "ax3.legend(loc='best')\n", "ax3.grid()\n", "\n", "\n", "# Energy Balance plot\n", "net_rad = ebm_budyko.net_radiation\n", "transport = ebm_budyko.subprocess['budyko_transport'].heating_rate['Ts']\n", "\n", "ax4 = fig.add_subplot(224, sharex = ax1)\n", "ax4.plot(ebm_budyko.lat, net_rad, label='net radiation', \n", " color='red')\n", "ax4.plot(ebm_budyko.lat, transport, label='heat transport', \n", " color='blue')\n", "ax4.plot(ebm_budyko.lat, net_rad+transport, label='balance',\n", " color='black')\n", "\n", "ax4.set_title('Energy', fontsize=14)\n", "ax4.set_xlabel('latitude', fontsize=10)\n", "ax4.set_ylabel('(W/m$^2$)', fontsize=12)\n", "ax4.legend(loc='best')\n", "ax4.grid()\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The two right sided plots show that the model is not in equilibrium. The net radiation reveals that the model currently gains heat and therefore warms up at the poles and loses heat at the equator. From the Energy plot we can see that latitudinal energy balance is not met." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we integrate the model as long there are no more changes in the surface temperature and the model reached equilibrium:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total elapsed time is 7.01111111111 years.\n" ] } ], "source": [ "# integrate model until solution converges\n", "ebm_budyko.integrate_converge()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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OJqcyoldzQorrPHuXIrhIAJ/f24wSQQE8OGoRe48luR2SUkqpC9kLdAB+AoYD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\n95CZTQHOBXrhf0VXOuc+CB1/G3g7KlFK3NpUWc1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Y9yyKxDElhLJDpeWaQygSDbnZmfxY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1s/1qYK1nEqIRQREQlx1tqV9ffrjDH/AUYCa40xnay1q40xnYB123nsFGAKQE5Ojs3deupcE+Xl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\n2pXZs2eTm5v7qya0ysrKIjMzk0WLFlGlS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# creating plot figure\n", "fig = plt.figure(figsize=(15,10))\n", "\n", "# Temperature plot\n", "ax1 = fig.add_subplot(221)\n", "ax1.plot(ebm_budyko.lat,ebm_budyko.Ts)\n", "\n", "ax1.set_xticks([-90,-60,-30,0,30,60,90])\n", "ax1.set_xlim([-90,90])\n", "ax1.set_title('Surface Temperature', fontsize=14)\n", "ax1.set_ylabel('(degC)', fontsize=12)\n", "ax1.grid()\n", "\n", "\n", "# Albedo plot\n", "ax2 = fig.add_subplot(223, sharex = ax1)\n", "ax2.plot(ebm_budyko.lat,ebm_budyko.albedo)\n", "\n", "ax2.set_title('Albedo', fontsize=14)\n", "ax2.set_xlabel('latitude', fontsize=10)\n", "ax2.set_ylim([0,1])\n", "ax2.grid()\n", "\n", "# Net Radiation plot\n", "ax3 = fig.add_subplot(222, sharex = ax1)\n", "ax3.plot(ebm_budyko.lat, ebm_budyko.OLR, label='OLR',\n", " color='cyan')\n", "ax3.plot(ebm_budyko.lat, ebm_budyko.ASR, label='ASR',\n", " color='magenta')\n", "ax3.plot(ebm_budyko.lat, ebm_budyko.ASR-ebm_budyko.OLR, \n", " label='net radiation',\n", " color='red')\n", "\n", "ax3.set_title('Net Radiation', fontsize=14)\n", "ax3.set_ylabel('(W/m$^2$)', fontsize=12)\n", "ax3.legend(loc='best')\n", "ax3.grid()\n", "\n", "\n", "# Energy Balance plot\n", "net_rad = ebm_budyko.net_radiation\n", "transport = ebm_budyko.subprocess['budyko_transport'].heating_rate['Ts']\n", "\n", "ax4 = fig.add_subplot(224, sharex = ax1)\n", "ax4.plot(ebm_budyko.lat, net_rad, label='net radiation', \n", " color='red')\n", "ax4.plot(ebm_budyko.lat, transport, label='heat transport', \n", " color='blue')\n", "ax4.plot(ebm_budyko.lat, net_rad+transport, label='balance',\n", " color='black')\n", "\n", "ax4.set_title('Energy', fontsize=14)\n", "ax4.set_xlabel('latitude', fontsize=10)\n", "ax4.set_ylabel('(W/m$^2$)', fontsize=12)\n", "ax4.legend(loc='best')\n", "ax4.grid()\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can see that the latitudinal energy balance is statisfied. Each latitude gains as much heat (net radiation) as is transported out of it (diffusion transport). There is a net radiation surplus in the equator region, so more shortwave radiation is absorbed there than is emitted through longwave radiation. At the poles there is a net radiation deficit. That imbalance is compensated by the diffusive energy transport term." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Global mean temperature\n", "We use climlab to compute the global mean temperature and print the ice edge latitude:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The global mean temperature is 10.87 degC.\n", "The modeled ice edge is at 56.0 deg.\n" ] } ], "source": [ "print 'The global mean temperature is %s degC.' \\\n", " %np.round(climlab.global_mean(ebm_budyko.Ts),2)\n", " \n", "print 'The modeled ice edge is at %s deg.' % np.max(ebm_budyko.icelat)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The temperature is a bit too cold for current climate as model parameters are not tuned. Sensitive parameters are ``a0, a2, ai`` and ``Tf`` (albedo), ``A`` and ``B`` (OLR), ``b`` (transport) and ``num_lat`` (grid resolution)." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "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 }