{ "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": {}, "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": {}, "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": {}, "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", "Untitled: \n", " LW: \n", " insolation: \n", " albedo: \n", " iceline: \n", " warm_albedo: \n", " cold_albedo: \n", " SW: \n", " diffusion: \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": {}, "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": {}, "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": {}, "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", "Untitled: \n", " LW: \n", " insolation: \n", " albedo: \n", " iceline: \n", " warm_albedo: \n", " cold_albedo: \n", " SW: \n", " budyko_transport: \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": {}, "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": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total elapsed time is 7.011111111111103 years.\n" ] } ], "source": [ "# integrate model until solution converges\n", "ebm_budyko.integrate_converge()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "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": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The global mean temperature is 10.87 deg C.\n", "The modeled ice edge is at 56.00 deg latitude.\n" ] } ], "source": [ "print('The global mean temperature is %.2f deg C.' %climlab.global_mean(ebm_budyko.Ts))\n", "print('The modeled ice edge is at %.2f deg latitude.' %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": {}, "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 1 }