{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Ice - Albedo Feedback and runaway glaciation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we will use the 1-dimensional diffusive Energy Balance Model (EBM) to explore the effects of albedo feedback and heat transport on climate sensitivity." ] }, { "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\n", "from climlab import legendre" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Annual-mean model with albedo feedback: adjustment to equilibrium" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A version of the EBM in which albedo adjusts to the current position of the ice line, wherever $T < T_f$" ] }, { "cell_type": "code", "execution_count": 2, "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": [ "model1 = climlab.EBM_annual( num_points = 180, a0=0.3, a2=0.078, ai=0.62)\n", "print(model1)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 450 steps, 1826.2110000000002 days, or 5 years.\n", "Total elapsed time is 5.000000000000044 years.\n" ] } ], "source": [ "model1.integrate_years(5)\n", "Tequil = np.array(model1.Ts)\n", "ALBequil = np.array(model1.albedo)\n", "OLRequil = np.array(model1.OLR)\n", "ASRequil = np.array(model1.ASR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at what happens if we perturb the temperature -- make it 20ºC colder everywhere!" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "model1.Ts -= 20.\n", "model1.compute_diagnostics()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at how we have just perturbed the absorbed shortwave:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "my_ticks = [-90,-60,-30,0,30,60,90]\n", "lat = model1.lat\n", "\n", "fig = plt.figure( figsize=(12,5) )\n", "\n", "ax1 = fig.add_subplot(1,2,1)\n", "ax1.plot(lat, Tequil, label='equil') \n", "ax1.plot(lat, model1.Ts, label='pert' )\n", "ax1.grid()\n", "ax1.legend()\n", "ax1.set_xlim(-90,90)\n", "ax1.set_xticks(my_ticks)\n", "ax1.set_xlabel('Latitude')\n", "ax1.set_ylabel('Temperature (degC)')\n", "\n", "ax2 = fig.add_subplot(1,2,2)\n", "ax2.plot( lat, ASRequil, label='equil') \n", "ax2.plot( lat, model1.ASR, label='pert' )\n", "ax2.grid()\n", "ax2.legend()\n", "ax2.set_xlim(-90,90)\n", "ax2.set_xticks(my_ticks)\n", "ax2.set_xlabel('Latitude')\n", "ax2.set_ylabel('ASR (W m$^{-2}$)')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So there is less absorbed shortwave now, because of the increased albedo. The global mean difference is:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array(-20.37046205)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "climlab.global_mean( model1.ASR - ASRequil )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Less shortwave means that there is a tendency for the climate to cool down even more! In other words, the shortwave feedback is **positive**.\n", "\n", "Recall that the net feedback for the EBM can be written\n", "\n", "$\\lambda = - B + \\frac{\\Delta <(1-\\alpha) Q >}{\\Delta }$\n", "\n", "where the second term is the change in the absorbed shortwave per degree global mean temperature change.\n", "\n", "Plugging these numbers in gives\n", "\n", "$\\lambda = - 2 + \\frac{-20.4}{-20} = -2 + 1 = -1$ W m$^{-2}$ $^{\\circ}$C$^{-1}$\n", "\n", "The feedback is negative, as we expect! The tendency to warm up from reduced OLR outweighs the tendency to cool down from reduced ASR. A negative net feedback means that the system will relax back towards the equilibrium." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's let the temperature evolve one year at a time and add extra lines to the graph:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot( lat, Tequil, 'k--', label='equil' )\n", "plt.plot( lat, model1.Ts, 'k-', label='pert' )\n", "plt.grid()\n", "plt.xlim(-90,90)\n", "plt.legend()\n", "\n", "for n in range(5):\n", " model1.integrate_years(years=1.0, verbose=False)\n", " plt.plot(lat, model1.Ts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Temperature drifts back towards equilibrium, as we expected!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What if we cool the climate **so much** that the entire planet is ice covered?" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "model1.Ts -= 40.\n", "model1.compute_diagnostics()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Look again at the change in absorbed shortwave:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array(-108.99200831)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "climlab.global_mean( model1.ASR - ASRequil )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's much larger because we've covered so much more surface area with ice!\n", "\n", "The feedback calculation now looks like\n", "\n", "$\\lambda = - 2 + \\frac{-109}{-40} = -2 + 2.7 = +0.7$ W m$^{-2}$ $^{\\circ}$C$^{-1}$\n", "\n", "What? Looks like the **positive** albedo feedback is so strong here that it has outweighed the **negative** longwave feedback. What will happen to the system now? Let's find out..." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot( lat, Tequil, 'k--', label='equil' )\n", "plt.plot( lat, model1.Ts, 'k-', label='pert' )\n", "plt.grid()\n", "plt.xlim(-90,90)\n", "plt.legend()\n", "\n", "for n in range(5):\n", " model1.integrate_years(years=1.0, verbose=False)\n", " plt.plot(lat, model1.Ts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Something **very different** happened! The climate drifted towards an entirely different equilibrium state, in which the entire planet is cold and ice-covered.\n", "\n", "We will refer to this as the **SNOWBALL EARTH**.\n", "\n", "Note that the warmest spot on the planet is still the equator, but it is now about -33ºC rather than +28ºC!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Here Comes the Sun! Where is the ice edge?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ice edge in our model is always where the temperature crosses $T_f = -10^\\circ$C. The system is at **equilibrium** when the temperature is such that there is a balance between ASR, OLR, and heat transport convergence everywhere. \n", "\n", "Suppose that sun was hotter or cooler at different times (in fact it was significantly cooler during early Earth history). That would mean that the solar constant $S_0 = 4Q$ was larger or smaller. We should expect that the temperature (and thus the ice edge) should increase and decrease as we change $S_0$. \n", "\n", "$S_0$ during the Neoproterozoic Snowball Earth events is believed to be about 93% of its present-day value, or about 1270 W m$^{-2}$.\n", "\n", "We are going to look at how the **equilibrium** ice edge depends on $S_0$, by integrating the model out to equilibrium for lots of different values of $S_0$. We will start by slowly decreasing $S_0$, and then slowly increasing $S_0$." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "model2 = climlab.EBM_annual(num_points = 360, a0=0.3, a2=0.078, ai=0.62)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "S0array = np.linspace(1400., 1200., 200)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 450 steps, 1826.2110000000002 days, or 5 years.\n", "Total elapsed time is 5.000000000000044 years.\n" ] } ], "source": [ "model2.integrate_years(5)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-70. 70.]\n" ] } ], "source": [ "print(model2.icelat)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "icelat_cooling = np.empty_like(S0array)\n", "icelat_warming = np.empty_like(S0array)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# First cool....\n", "for n in range(S0array.size):\n", " model2.subprocess['insolation'].S0 = S0array[n]\n", " model2.integrate_years(10, verbose=False)\n", " icelat_cooling[n] = np.max(model2.icelat)\n", "# Then warm...\n", "for n in range(S0array.size):\n", " model2.subprocess['insolation'].S0 = np.flipud(S0array)[n]\n", " model2.integrate_years(10, verbose=False)\n", " icelat_warming[n] = np.max(model2.icelat)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For completeness: also start from present-day conditions and warm up." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "model3 = climlab.EBM_annual(num_points = 360, a0=0.3, a2=0.078, ai=0.62)\n", "S0array3 = np.linspace(1350., 1400., 50)\n", "icelat3 = np.empty_like(S0array3)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "for n in range(S0array3.size):\n", " model3.subprocess['insolation'].S0 = S0array3[n]\n", " model3.integrate_years(10, verbose=False)\n", " icelat3[n] = np.max(model3.icelat)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure( figsize=(10,6) )\n", "ax = fig.add_subplot(111)\n", "ax.plot(S0array, icelat_cooling, 'r-', label='cooling' )\n", "ax.plot(S0array, icelat_warming, 'b-', label='warming' )\n", "ax.plot(S0array3, icelat3, 'g-', label='warming' )\n", "ax.set_ylim(-10,100)\n", "ax.set_yticks((0,15,30,45,60,75,90))\n", "ax.grid()\n", "ax.set_ylabel('Ice edge latitude', fontsize=16)\n", "ax.set_xlabel('Solar constant (W m$^{-2}$)', fontsize=16)\n", "ax.plot( [const.S0, const.S0], [-10, 100], 'k--', label='present-day' )\n", "ax.legend(loc='upper left')\n", "ax.set_title('Solar constant versus ice edge latitude in the EBM with albedo feedback', fontsize=16)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are actually up to 3 different climates possible for a given value of $S_0$!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### How to un-freeze the Snowball" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The graph indicates that if the Earth were completely frozen over, it would be perfectly happy to stay that way even if the sun were brighter and hotter than it is today.\n", "\n", "Our EBM predicts that (with present-day parameters) the equilibrium temperature at the equator in the Snowball state is about -33ºC, which is much colder than the threshold temperature $T_f = -10^\\circ$C. How can we melt the Snowball?\n", "\n", "We need to increase the avaible energy sufficiently to get the equatorial temperatures above this threshold! That is going to require a much larger increase in $S_0$ (could also increase the greenhouse gases, which would have a similar effect)!\n", "\n", "Let's crank up the sun to 1830 W m$^{-2}$ (about a 34% increase from present-day)." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 3600 steps, 14609.688000000002 days, or 40 years.\n", "Total elapsed time is 4044.99999997769 years.\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "The ice edge is at [-0. 0.]degrees latitude.\n" ] } ], "source": [ "model4 = climlab.process_like(model2) # initialize with cold Snowball temperature\n", "model4.subprocess['insolation'].S0 = 1830.\n", "model4.integrate_years(40)\n", "\n", "#lat = model4.domains['Ts'].axes['lat'].points\n", "plt.plot(model4.lat, model4.Ts)\n", "plt.xlim(-90,90)\n", "plt.ylabel('Temperature')\n", "plt.xlabel('Latitude')\n", "plt.grid()\n", "plt.xticks(my_ticks)\n", "plt.show()\n", "\n", "print('The ice edge is at ' + str(model4.icelat) + 'degrees latitude.' )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Still a Snowball... but just barely! The temperature at the equator is just below the threshold.\n", "\n", "Try to imagine what might happen once it starts to melt. The solar constant is huge, and if it weren't for the highly reflective ice and snow, the climate would be really really hot!\n", "\n", "We're going to increase $S_0$ one more time..." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 900 steps, 3652.4220000000005 days, or 10 years.\n", "Total elapsed time is 4054.999999977441 years.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model4.subprocess['insolation'].S0 = 1845.\n", "model4.integrate_years(10)\n", "\n", "plt.plot(lat, model4.state['Ts'])\n", "plt.xlim(-90,90)\n", "plt.ylabel('Temperature')\n", "plt.xlabel('Latitude')\n", "plt.grid()\n", "plt.xticks(my_ticks)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suddenly the climate looks very very different again! The global mean temperature is" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "58.171701294999124\n" ] } ], "source": [ "print( model4.global_mean_temperature() )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A roasty 60ºC, and the poles are above 20ºC. A tiny increase in $S_0$ has led to a very drastic change in the climate." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "S0array_snowballmelt = np.linspace(1400., 1900., 50)\n", "icelat_snowballmelt = np.empty_like(S0array_snowballmelt)\n", "icelat_snowballmelt_cooling = np.empty_like(S0array_snowballmelt)\n", "\n", "for n in range(S0array_snowballmelt.size):\n", " model2.subprocess['insolation'].S0 = S0array_snowballmelt[n]\n", " model2.integrate_years(10, verbose=False)\n", " icelat_snowballmelt[n] = np.max(model2.diagnostics['icelat'])\n", " \n", "for n in range(S0array_snowballmelt.size):\n", " model2.subprocess['insolation'].S0 = np.flipud(S0array_snowballmelt)[n]\n", " model2.integrate_years(10, verbose=False)\n", " icelat_snowballmelt_cooling[n] = np.max(model2.diagnostics['icelat'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we will complete the plot of ice edge versus solar constant." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure( figsize=(10,6) )\n", "ax = fig.add_subplot(111)\n", "ax.plot(S0array, icelat_cooling, 'r-', label='cooling' )\n", "ax.plot(S0array, icelat_warming, 'b-', label='warming' )\n", "ax.plot(S0array3, icelat3, 'g-', label='warming' )\n", "ax.plot(S0array_snowballmelt, icelat_snowballmelt, 'b-' )\n", "ax.plot(S0array_snowballmelt, icelat_snowballmelt_cooling, 'r-' )\n", "ax.set_ylim(-10,100)\n", "ax.set_yticks((0,15,30,45,60,75,90))\n", "ax.grid()\n", "ax.set_ylabel('Ice edge latitude', fontsize=16)\n", "ax.set_xlabel('Solar constant (W m$^{-2}$)', fontsize=16)\n", "ax.plot( [const.S0, const.S0], [-10, 100], 'k--', label='present-day' )\n", "ax.legend(loc='upper left')\n", "ax.set_title('Solar constant versus ice edge latitude in the EBM with albedo feedback', fontsize=16)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The upshot:\n", "\n", "- For extremely large $S_0$, the only possible climate is a hot Earth with no ice.\n", "- For extremely small $S_0$, the only possible climate is a cold Earth completely covered in ice.\n", "- For a large range of $S_0$ including the present-day value, more than one climate is possible!\n", "- Once we get into a Snowball Earth state, getting out again is rather difficult!" ] }, { "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 }