{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# ENV/ATM 415: Climate Laboratory\n", "\n", "[Brian E. J. Rose](http://www.atmos.albany.edu/facstaff/brose/index.html), University at Albany\n", "\n", "# Lecture 17: Ice-albedo feedback and Snowball Earth in the EBM" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Contents\n", "\n", "1. [Review of the 1D EBM](#section1)\n", "2. [Interactive snow/ice line in the EBM](#section2)\n", "3. [Solving the EBM with variable snow/ice line in CLIMLAB](#section3)\n", "4. [Polar-amplified warming in the EBM](#section4)\n", "5. [A different kind of climate forcing: changing the solar constant](#section5)\n", "6. [The large ice cap instability](#section6)\n", "7. [The Neoproterozoic Snowball Earth](#section7)\n", "8. [Computing the complete hysteresis curve for the 1D diffusive EBM](#section8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "____________\n", "\n", "\n", "## 1. Review of the 1D EBM\n", "____________" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Last time we derived the equation for the one-dimensional EBM with diffusive heat transport:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$C \\frac{\\partial T}{\\partial t} = (1-\\alpha) ~ Q - \\left( A + B~T \\right) + \\frac{D}{\\cos⁡\\phi } \\frac{\\partial }{\\partial \\phi} \\left( \\cos⁡\\phi ~ \\frac{\\partial T}{\\partial \\phi} \\right)$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have chosen the following parameter values, which seems to give a reasonable fit to the observed **annual mean temperature and energy budget**:\n", "\n", "- $A = 210 ~ \\text{W m}^{-2}$ (emission at 0$^\\circ$C)\n", "- $B = 2 ~ \\text{W m}^{-2}~^\\circ\\text{C}^{-1}$ (increase in emission per degree, related to net longwave climate feedback)\n", "- $D = 0.6 ~ \\text{W m}^{-2}~^\\circ\\text{C}^{-1}$ (thermal diffusivity of the climate system)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We looked at the adjustment of this model to equilibrium, with annual mean insolation $\\overline{Q(\\phi)}$ and specified albedo $\\alpha(\\phi)$ (giving a reasonable fit to observations).\n", "\n", "We also tuned the diffuvisity $D$ so that our annual mean solution has a reasonable pole-to-equator temperature gradient and peak poleward heat transport.\n", "\n", "Actually for the new version of this model with interactive ice line, we are going to reduce the diffusivity down to $D = 0.55 ~ \\text{W m}^{-2}~^\\circ\\text{C}^{-1}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "____________\n", "\n", "\n", "## 2. Interactive snow/ice line in the EBM\n", "____________" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What we want to do today is introduce another process into our model: an **interactive snow and ice line**. \n", "\n", "The idea is simply that, as the climate gets warmer, the snow and ice will retreat poleward, and the planetary albedo will decrease (or vice-versa)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We modeled this in the zero-dimensional model by using a kind of ramp function for the global mean albedo as a function of global mean temperature." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, since our model resolves temperature at each latitude, we want to do something more physical: *suppose that the surface is covered in ice and snow wherever the temperature is below some threshold $T_f$.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Temperature-dependent ice line\n", "\n", "Let the surface albedo be larger wherever the temperature is below some threshold $T_f$:\n", "\n", "$$\\alpha\\left(\\phi, T(\\phi) \\right) = \\left\\{\\begin{array}{ccc} \n", "\\alpha_0 + \\alpha_2 P_2(\\sin\\phi) & ~ & T(\\phi) > T_f & \\text{(no ice)} \\\\\n", "a_i & ~ & T(\\phi) \\le T_f & \\text{(ice-covered)} \\\\\n", "\\end{array} \\right.$$\n", "\n", "where $P_2(\\sin\\phi) = \\frac{1}{2}\\left( 3\\left(\\sin\\phi\\right)^2 - 1 \\right)$ is called the *second Legendre Polynomial* (just a mathematically convenient description of a smooth variation between the equator and pole)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Empirically, we follow classic work by Budyko and set the threshold temperature\n", "\n", "$$T_f = -10^\\circ\\text{C}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is known as a \"step function\" formula, because the value of $\\alpha$ steps or jumps up to a higher value as we cross the ice line." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "____________\n", "\n", "\n", "## 3. Solving the EBM with variable snow/ice line in CLIMLAB\n", "____________" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "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": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Ts: (180, 1) \n", "The subprocess tree: \n", "Untitled: \n", " LW: \n", " insolation: \n", " albedo: \n", " iceline: \n", " warm_albedo: \n", " cold_albedo: \n", " diffusion: \n", "\n" ] } ], "source": [ "# for convenience, set up a dictionary with our reference parameters\n", "param = {'D':0.55, 'A':210, 'B':2, 'a0':0.3, 'a2':0.078, 'ai':0.62, 'Tf':-10.}\n", "model1 = climlab.EBM_annual( num_lat=180, D=0.55, A=210., B=2., Tf=-10., a0=0.3, a2=0.078, ai=0.62)\n", "print(model1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because we provided a parameter ai for the icy albedo, our model now contains several sub-processes contained within the process called albedo. Together these implement the step-function formula above.\n", "\n", "The process called iceline simply looks for grid cells with temperature below $T_f$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'timestep': 350632.51200000005, 'S0': 1365.2, 'A': 210.0, 'B': 2.0, 'D': 0.55, 'Tf': -10.0, 'water_depth': 10.0, 'a0': 0.3, 'a2': 0.078, 'ai': 0.62}\n" ] } ], "source": [ "print(model1.param)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Ts: (180, 1) \n", "The subprocess tree: \n", "Untitled: \n", " LW: \n", " insolation: \n", " albedo: \n", " iceline: \n", " warm_albedo: \n", " cold_albedo: \n", " diffusion: \n", "\n" ] } ], "source": [ "# A python shortcut... we can use the dictionary to pass lots of input arguments simultaneously:\n", "\n", "# same thing as before, but written differently:\n", "model1 = climlab.EBM_annual( num_lat=180, **param)\n", "print(model1)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def ebm_plot(e, return_fig=False): \n", " templimits = -60,32\n", " radlimits = -340, 340\n", " htlimits = -6,6\n", " latlimits = -90,90\n", " lat_ticks = np.arange(-90,90,30)\n", " \n", " fig = plt.figure(figsize=(8,12))\n", "\n", " ax1 = fig.add_subplot(3,1,1)\n", " ax1.plot(e.lat, e.Ts)\n", " ax1.set_ylim(templimits)\n", " ax1.set_ylabel('Temperature (deg C)')\n", " \n", " ax2 = fig.add_subplot(3,1,2)\n", " ax2.plot(e.lat, e.ASR, 'k--', label='SW' )\n", " ax2.plot(e.lat, -e.OLR, 'r--', label='LW' )\n", " ax2.plot(e.lat, e.net_radiation, 'c-', label='net rad' )\n", " ax2.plot(e.lat, e.heat_transport_convergence(), 'g--', label='dyn' )\n", " ax2.plot(e.lat, e.net_radiation.squeeze() + e.heat_transport_convergence(), 'b-', label='total' )\n", " ax2.set_ylim(radlimits)\n", " ax2.set_ylabel('Energy budget (W m$^{-2}$)')\n", " ax2.legend()\n", " \n", " ax3 = fig.add_subplot(3,1,3)\n", " ax3.plot(e.lat_bounds, e.heat_transport() )\n", " ax3.set_ylim(htlimits)\n", " ax3.set_ylabel('Heat transport (PW)')\n", " \n", " for ax in [ax1, ax2, ax3]:\n", " ax.set_xlabel('Latitude')\n", " ax.set_xlim(latlimits)\n", " ax.set_xticks(lat_ticks)\n", " ax.grid()\n", " \n", " if return_fig:\n", " return fig" ] }, { "cell_type": "code", "execution_count": 6, "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)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Diagnostics in this model are mostly on the latitude axis, e.g.:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Field([[ 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66.36917797],\n", " [ 66.15142124],\n", " [ 65.97923958],\n", " [ 65.84761924],\n", " [ 65.76244835],\n", " [ 65.71797553]])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model1.ASR" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is a built-in utility to take properly area-weighted global averages!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This gives us the net global energy imbalance:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array(0.025896043544140022)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "climlab.global_mean(model1.ASR - model1.OLR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is also a built-in diagnostic net_radiation that has the same information (i.e. ASR - OLR):" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array(0.025896043544140022)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "climlab.global_mean(model1.net_radiation)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since it's not fully equilibrated yet, we can run it out a little longer:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 450 steps, 1826.2110000000002 days, or 5 years.\n", "Total elapsed time is 9.999999999999863 years.\n", "1.281586409838575e-05\n" ] }, { "data": { "image/png": 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YCPwrAO1UWWVljknLtvFS9hoWbNxDnVoR3HFGJlec2lC3HoqIBEFirUjuGtCC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\nD2MvbMq1iXV55of1vPbLJqYtT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Integrate out to equilibrium.\n", "model1.integrate_years(5)\n", "# Check for energy balance\n", "print(climlab.global_mean(model1.net_radiation))\n", "f = ebm_plot(model1)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-70., 70.])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# There is a diagnostic that tells us the current location of the ice edge:\n", "model1.icelat" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This model is tuned up to reasonable \"present-day\" conditions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "____________\n", "\n", "\n", "## 4. Polar-amplified warming in the EBM\n", "____________" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Add a small radiative forcing\n", "\n", "The equivalent of doubling CO2 in this model is something like \n", "\n", "$$A \\rightarrow A - \\delta A$$\n", "\n", "where $\\delta A = 4$ W m$^{-2}$.\n", "\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "210" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model1.subprocess['LW'].A" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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+ERxYZPRP8atdbPMXfx4hMT2Ll4dF4+EmPzqV3YtDmuPqonhtgZkTuEoZh/yy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\nMo89aK37aK1bmPkoqdgDJAH1i9wOBU5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "deltaA = 4.\n", "\n", "# This is a very handy way to \"clone\" an existing model:\n", "model2 = climlab.process_like(model1)\n", "\n", "# Now change the longwave parameter:\n", "model2.subprocess['LW'].A = param['A'] - deltaA\n", "# and integrate out to equilibrium again\n", "model2.integrate_years(5, verbose=False)\n", "\n", "plt.plot(model1.lat, model1.Ts, label='model1')\n", "plt.plot(model2.lat, model2.Ts, label='model2')\n", "plt.legend(); plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**The warming is polar-amplified**: more warming at the poles than elsewhere.\n", "\n", "Why?\n", "\n", "Also, the current ice line is now:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-90., 90.])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model2.icelat" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is no ice left!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's do some more greenhouse warming:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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d1mJqqONDI58wNjamYsWKzzZ8Tg4ePEidOk9P0KdvXoUmuaQjeS623djGtqBt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\nYMbQltL9UghhNZV83JjzZCu8TC48NmMb+2MT7R1SLmUq4Z+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model3 = climlab.process_like(model1)\n", "model3.subprocess['LW'].A = param['A'] - 2*deltaA\n", "model3.integrate_years(5, verbose=False)\n", "\n", "plt.plot(model1.lat, model1.Ts, label='model1')\n", "plt.plot(model2.lat, model2.Ts, label='model2')\n", "plt.plot(model3.lat, model3.Ts, label='model3')\n", "plt.xlim(-90, 90)\n", "plt.grid()\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the ice-free regime, there is no polar-amplified warming. A uniform radiative forcing produces a uniform warming." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "____________\n", "\n", "\n", "## 5. A different kind of climate forcing: changing the solar constant\n", "____________" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Historically EBMs have been used to study the climatic response to a change in the energy output from the Sun.\n", "\n", "We can do that easily with climlab:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1365.2" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = climlab.EBM_annual( num_lat=180, **param )\n", "# The current (default) solar constant, corresponding to present-day conditions:\n", "m.subprocess.insolation.S0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What happens if we decrease $S_0$?" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 450 steps, 1826.2110000000002 days, or 5.0 years.\n", "Total elapsed time is 5.000000000000044 years.\n" ] }, { "data": { "text/plain": [ "array(0.025896043544140022)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# First, get to equilibrium\n", "m.integrate_years(5.)\n", "# Check for energy balance\n", "climlab.global_mean(m.net_radiation)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-70., 70.])" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m.icelat" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Now make the solar constant smaller:\n", "m.subprocess.insolation.S0 = 1300." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 900 steps, 3652.4220000000005 days, or 10.0 years.\n", "Total elapsed time is 14.999999999999647 years.\n" ] }, { "data": { "text/plain": [ "array(-0.0001337941330478994)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Integrate to new equilibrium\n", "m.integrate_years(10.)\n", "# Check for energy balance\n", "climlab.global_mean(m.net_radiation)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-54., 54.])" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m.icelat" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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hbasR8JWZtfKu8iiH2bz7IPd/tpJPlm6jYe0YHr6gI0MzG+s+AhGpsro3S+Sj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\nFPP8/ELa1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ebm_plot(m)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "A much colder climate! The ice line is sitting at 54º. The heat transport shows that the atmosphere is moving lots of energy across the ice line, trying hard to compensate for the strong radiative cooling everywhere poleward of the ice line." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "____________\n", "\n", "\n", "## 6. The large ice cap instability\n", "____________" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What happens if we decrease $S_0$ even more?\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 450 steps, 1826.2110000000002 days, or 5.0 years.\n", "Total elapsed time is 19.99999999999943 years.\n" ] }, { "data": { "text/plain": [ "array(-5.137889634153139)" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Now make the solar constant smaller:\n", "m.subprocess.insolation.S0 = 1200.\n", "# First, get to equilibrium\n", "m.integrate_years(5.)\n", "# Check for energy balance\n", "climlab.global_mean(m.net_radiation)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 900 steps, 3652.4220000000005 days, or 10.0 years.\n", "Total elapsed time is 30.000000000000693 years.\n" ] }, { "data": { "text/plain": [ "array(-1.258386048474319e-06)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m.integrate_years(10.)\n", "# Check for energy balance\n", "climlab.global_mean(m.net_radiation)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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mvY1s2NPA1uomtlY1sa26ia3VTSzdWsO+htaD3pOaGKIgI8kLFDKSKchIIjct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\nC4nFY0y6ZRJb2rZQ317vDrF+xcFXcONxN9Icbibvp7aDbsA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A653DrzfGHNfTcb2ZNGmS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\nk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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ebm_plot(m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Something very different happened! Where is the ice line now?" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-0., 0.])" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m.icelat" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Now what happens if we set $S_0$ back to its present-day value?" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating for 450 steps, 1826.2110000000002 days, or 5.0 years.\n", "Total elapsed time is 35.0000000000016 years.\n" ] }, { "data": { "text/plain": [ "array(0.007900514407965633)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Now make the solar constant smaller:\n", "m.subprocess.insolation.S0 = 1365.2\n", "# First, get to equilibrium\n", "m.integrate_years(5.)\n", "# Check for energy balance\n", "climlab.global_mean(m.net_radiation)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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trWFTWS2b99ZS7e8yCJAYF8OI3FTOKMxl9IA0igakM2ZAGnlpCVpWWETkE0qM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\nVRH5M/CsMWZD8qAz4dGx2CGEr2LXOegXtm3bxvv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issgYM31P53e1xmAUEEl5HgVGG2Oa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\nIUoMREREJESJgYiIiIT8f/GIsGOKzJtOAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ebm_plot(m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Is this the same climate we started with?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is an example of a **hysteresis** in the climate system: the state of the climate depends on its history!\n", "\n", "- A global cooling caused snow and ice to expand to the equator\n", "- External conditions (i.e. the solar constant) returned back to its present-day value\n", "- The climate stayed cold and completely ice-covered.\n", "\n", "If the oceans froze over and the Earth were covered in ice and snow today, it would remain that way!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "____________\n", "\n", "\n", "## 7. The Neoproterozoic Snowball Earth\n", "____________" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Geologic Time Scale\n", "\n", "First, some information on the nomenclature for Earth history:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![GeoTimeScale](http://www.atmos.albany.edu/facstaff/brose/classes/ENV415_Spring2018/images/GeoTimeScale2009.pdf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Walker, J. and Geissman, J. (2009). Geologic time scale. Technical report, Geological Society of America." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The long view of glacial epochs on Earth:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Hoffman et al. (2017), Science Advances 3:e1600983, doi:10.1126/sciadv.1600983" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Extensive evidence for large glaciers at sea level in the tropics \n", "\n", "Evidently the climate was **very cold** at these times (635 Ma and 715 Ma)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![HoffmanLi](http://www.atmos.albany.edu/facstaff/brose/classes/ENV415_Spring2018/images/Hoffman_Li_2009.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Hoffman, P. F. and Li, Z.-X. (2009). A palaeogeographic context for Neoproterozoic glaciation. Palaeogeogr. Palaeoclimatol. Palaeoecol., 277:158–172." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Snowball Earth hypothesis\n", "\n", "Various bizarre features in the geological record from 635 and 715 Ma ago indicate that the Earth underwent some very extreme environmental changes… at least twice. The **Snowball Earth hypothesis** postulates that:\n", "\n", "- The Earth was completely ice-covered (including the oceans)\n", "- The total glaciation endured for millions of years\n", "- CO$_2$ slowly accumulated in the atmosphere from volcanoes\n", "- Weathering of rocks (normally acting to reduce CO$_2$) extremely slow due to cold, dry climate\n", "- Eventually the extreme greenhouse effect is enough to melt back the ice\n", "- The Earth then enters a period of extremely hot climate." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The hypothesis rests on a phenomenon first discovered by climate modelers in the Budyko-Sellers EBM: **runaway ice-albedo feedback** or **large ice cap instability**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "____________\n", "\n", "\n", "## 8. Computing the complete hysteresis curve for the 1D diffusive EBM\n", "____________" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "The calculations in this section may take a long time to complete, depending on the speed of your computer.\n", "
" ] }, { "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 $S_0$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$S_0$ 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": 29, "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 = climlab.EBM_annual(num_lat = 360, **param)\n", "S0array = np.linspace(1400., 1200., 200)\n", "model2.integrate_years(5)\n", "icelat_cooling = np.empty_like(S0array)\n", "icelat_warming = np.empty_like(S0array)\n", "# 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)\n", "# For completeness -- also start from present-day conditions and warm up.\n", "model3 = climlab.EBM_annual(num_lat=360, **param)\n", "S0array3 = np.linspace(1350., 1400., 50)\n", "icelat3 = np.empty_like(S0array3)\n", "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": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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8Wsh8lZJyvEAPeS9fvjzR0dFMmzaNNm3aEBsby6JFi9i6dSvh4eGMGTOGlStX\nUrVqVRITE0lLS8uaNiIiItu8XM8nDQkJyfas0pCQENLT03Ms271MaGgo6enpWV2nSimlSqG+feGT\nT/wyK3MOnH+fX2ZVIo3JvJWrb+wR6DB8VqzJmzFmk4i8DHwHpAK/ADkzkVyISH+gP0Dt2rWzHs7u\nUqVKFVJSUvwWb0ZGRoHn16pVK0aPHs1bb71FTEwMQ4cOJS4ujt27dxMeHk5ISAhbt25l7ty5XH75\n5aSkpGCMITU1NSsBy8jI4OjRo6SkpHDs2DHS09Oz4nAfB3gtc/LkSdLS0jjnnHPYunUr69ev5/zz\nz+eDDz7IVs7f9U9LS8uxTUqq1NTUUlOXM1GW6691Twp0GAETjPU/dOgQgNe4mq9fj1x4ITv8cErM\n/PQ1wFf8M/MKauJ7o0VpUeecVkG37fNS7LcKMcZMBaYCiMgLwC5gj4jUcVrd6gD/y2XaycBkgPj4\neJOQkJBt/KZNmwrUUpaflJSUAs+va9eujBkzhi5duhAREUF4eDidOnWiTZs2tGjRgssvv5wGDRrQ\nrl07wsLCiIqKQkSIjIzMWlZoaCgRERFERUVRqVIlypUr53Uc4LVMhQoVCAsLo1atWkycOJHu3btT\no0YNWrZsyZ49e3yuU0HrHxYWRrNmzQqyuoKW6yKQsqos11/rnhDoMAImGOvfpEkTgNzjataMmBEj\nCr2cyTMfhN/hoUffp3Zk7ULPr6QJxm2fl2JP3kSkljHmfyJyHtANaA3UB/oBLzn/vyjuuPylS5cu\nnDp1Kuv9li1bsl5Pnz7d6zTJycnZ3rtn/wkJCdl2KPdxqampXsu8+eabWa87derE5s2bMcZw//33\nEx8f73tllFJKBdQHH3yQ+8iUFPBTg0Vquv0+qRpeIm/2UOYE4j5vn4rIRuBL4H5jzEFs0naFiPwG\nXOG8V34wZcoU4uLiiImJ4fDhwwwYMCDQISmllPIHPyZvR04dIbJCJBVCK/hlfqpoBaLbtL2XYfuB\nLsUdS1kwdOhQhg4dGugwlFJKnYEhQ4YAMM7zKjxjbPJWubJflpOSnkK18Gp+mZcqevp4LKWUUipI\nrc3thqVHj9oEzk8tb5q8lSz6eCyllFKqpHHdCcCP3aaavJUcmrwppZRSJc2RI/a/H7tNq4bpxQol\nhSZvSimlVEmjLW9lmiZvJVibNm0CHYJSSqkidNFFF3HRRRflHOFqefND8maM0XPeShi9YCHIZGRk\nEBoa6lOkwklwAAAgAElEQVTZ5cuXF3E0SimlAinX51G7Wt780G167NQx0k26Jm8liLa8+dErr7zC\n+PHjAXuLjs6dOwOwYMEC+vTpw8CBA4mPjycmJoZhw4ZlTRcdHc2IESNo164dH3/8MQkJCQwdOpQO\nHTpw8cUXs3LlSrp160bDhg15+umns6aLjIwETt8Zunv37jRu3Jg77rgj67mmc+fOpXHjxrRr147B\ngwdz/fXXF9fqUEopVVT82G164PgBAE3eSpBS2/I2ZN4Q1v6dyyXWPvJsBYs7O45xV+f+xPsOHTow\nduxYBg8ezKpVqzhx4gSnTp1i6dKltG/fnh49elCtWjUyMjLo0qUL69atIzY2FrCPllq6dCkAkyZN\nokKFCnz//fe8/vrr3HTTTaxevZpq1apxwQUXMHToUKpXr55t2WvWrGHDhg3UrVuXtm3bsmzZMuLj\n4xkwYADff/899evXp7cfnn+nlFKq+PTv3x/w0gLnx25TTd5KHm1586MWLVqwevVqUlJSqFixIq1b\nt2bVqlUsWbKE9u3bM2fOHJo3b06zZs3YsGEDGzduzJq2V69e2eZ14403AnDppZcSExNDnTp1qFix\nIg0aNGDnzp05lt2yZUvq1atHSEgIcXFxJCcns3nzZho0aED9+vUBNHlTSqkSZsuWLdkes5jFj92m\nmryVPKW25S2vFjJfFfTB7OXLlyc6Oppp06bRpk0bYmNjWbRoEVu3biU8PJwxY8awcuVKqlatSmJi\nImlpaVnTRkREZJtXxYoVAQgJCcl67Xqfnp6eY9nuZUJDQ0lPT8/qOlVKKVXKpKRASAiEhxd6Vpq8\nlTza8uZnHTp0YMyYMXTo0IH27dszadIk4uLiOHLkCBEREVSpUoU9e/bwzTffFHksjRs3Ztu2bVkP\nvp89e3aRL1MppVQxOHLEdpmKFHpWruRN7/NWcpTalrdAad++PaNGjaJ169ZEREQQFhZG+/btadq0\nKc2aNSMmJoYGDRrQtm3bIo8lPDycCRMmcPXVV1OjRg1atmxZ5MtUSilVDPz4XFNteSt5NHnzsy5d\nunDq1Kms9+7nKkyfPt3rNK6WMZekpKSs1wkJCSQkJHgdl5qa6rXMm2++mfW6U6dObN68GWMM999/\nP/Hx8b5XRimlVEDFxcV5H5GS4rcb9B44foDyUp5K5Sv5ZX6q6GnyVspNmTKFGTNmcPLkSZo1a8aA\nAQMCHZJSSikfjRuXy/nbrm5TPziYdpCo8lGIH7pgVfHQ5K2UGzp0KEOHDg10GEoppfzJz92mUeX8\nkwiq4qEXLCillFJBqk+fPvTp0yfnCD93m1Yu559EUBUPbXlTSimlgtSuXbu8j/Bjt+mB4weIKq8t\nbyWJtrwppZRSJY2fu0215a1k0eRNKaWUKkmM8Xu3aWS5SL/MSxUPTd5KqXHjxnHs2DGfyiYkJLBq\n1aoijkgppZRfHD8OGRl+Sd5OpJ/g6KmjVC6vLW8liSZvAZCRkVHkyyhI8qaUUio4tW7dmtatW2cf\n6Mfnmh5MOwigV5uWMJq8+VlycjKNGzemX79+xMbG0r17d44dO0Z0dDQjRoygXbt2fPzxx2zdupWr\nr76aFi1a0L59ezZv3gzAxx9/TJMmTWjatCkdOnQAbLL36KOPctlllxEbG8vbb78N2Bv2JiQk0L17\ndxo3bswdd9yBMYbx48fz119/0alTJzp16pQjxuPHj3PbbbcRGxtLr169OH78eNa4gQMHEh8fT0xM\nDKNGjQJgwYIF3HLLLVllvvvuO7p161Zk61AppZT14osv8uKLL2Yf6Ere/NDydvC4Td605a1kKdVX\nm7o/dcClZ8+eDBo0iGPHjnHttdfmGJ+YmEhiYiL79u3jlltuITQ0NGuc+9MN8vLrr78ydepU2rZt\ny913382ECRMACAsLY+nSpYB9EsOkSZNo2LAhP/74I4MGDWLhwoWMGDGC//znP5xzzjkcOnQIgKlT\np1KlShVWrlzJiRMnaNu2LVdeeSUAa9asYcOGDdStW5e2bduybNkyBg8ezKuvvsqiRYuoUaNGjvgm\nTpxIpUqVWLduHevWraN58+ZZ40aNGkW1atXIyMggISGBdevW0blzZ+6//3727t1LzZo1mTZtGnfd\ndZdP60IppZSfHTli//sheXM9Gktb3koWbXkrAueee27Ws0v79OmTlbD16tULsI+1Wr58OT169CAu\nLo4BAwawe/duANq2bUtiYiJTpkzJ6l799ttvee+994iLi6NVq1bs37+f3377DYCWLVtSr149QkJC\niIuLy/GoLW++//77rPsGxcbGEhsbmzVuzpw5NG/enGbNmrFp0yY2btyIiNC3b18++OADDh06xIoV\nK7jmmmv8s7KUUkrl6tZbb+XWW2/NPtCP3aau5E1b3kqWUt3ylldLWaVKlfIcX6NGDebOnUvUGfyy\n8XzEiOt9REQEAJmZmZx11lmsXbs2x7STJk3ixx9/5OuvvyYuLo61a9dijOGNN97gqquuylY2KSmJ\nihUrZr0PDQ0lPT09xzw/++wznnvuOQDeeecdrzECbN++nTFjxrBy5UqqVq3KHXfcQVpaGgB33XUX\nN9xwA2FhYfTo0YNy5Ur1rqOUUkFh//79OQf6sdtUW95KJm15KwI7duxgxYoVAHz00Ue0a9cu2/jK\nlStTv359Pv74YwCMMfzyyy8AbN26lVatWjFixAhq1KjBzp07ueqqq5g4cWLWA++3bNnC0aNH84wh\nKiqKFOcDfsstt7B27VrWrl1LfHw8HTp0YObMmQCsX7+edevWAXDkyBEiIiKoUqUKe/bs4bvvvsua\nX926dalbty4jR44kMTGxkGtIKaXUGdNu0zJPk7cicPHFFzNjxgxiY2M5cOAAAwcOzFFm5syZTJ06\nlaZNmxITE8MXX3wBwKOPPsqll15KkyZN6NChA02bNuXee+/lkksuoXnz5jRp0oQBAwZ4bWFz179/\nf6655hqvFywMHDiQ1NRUYmNjeeWVV2jZsiUATZs2pVmzZsTExHD33Xdz+eWXZ5vujjvu4Nxzz+WS\nSy4501WjlFKqsPzcbSoIEeUiCj0vVXy076sIhISEMGnSpGzDPM9Fq1+/PvPmzcsx7b/+9a8cw0SE\nF154gRdeeCHb8ISEhGwXZbz55ptZrx944AEeeOABr/GFh4cza9Ysr+OmT5+e9TolJSVbt/HSpUu5\n7777vE6nlFKqmPi527RqeFVCRNtyShJN3pRPWrRoQUREBGPHjg10KEopVWZ06dIl50BXt2lE4VvL\nDqQdoFp4tULPRxUvTd78LDo6mvXr1wc6DL9bvXp1oENQSqky55lnnsk50PVorJDCt5YdPH5Qk7cS\nSNtJlVJKqZLEz8811eSt5Cl1yZsxJtAhlEm63pVSyv+uueaanPfVPHLEL8nbXyl/8fuB36lZqWah\n56WKV6lK3sLCwti/f78mEsXMGMP+/fsJCwsLdChKKVWqHD9+PNsjDAHb8lbIK01TTqRw/YfXczLj\nJA+1fqhQ81LFr1Sd81avXj127drF3r17/TK/tLS0Mp2QFKT+YWFh1KtXr4gjUkopVdhu0/TMdHp+\n0pN1e9bxZe8viTs7jqTNSf6LTxW5UpW8lS9fnvr16/ttfklJSTRr1sxv8ytpynr9lVIqKB05Ag0a\nnNGkxhgGfT2Ieb/P4+3r3+aahvqow5KoWJM3EWkEzHYb1AB4FjgLuA9wNZk9aYyZW5yxKaWUUiVC\nIbpNX1r6ElN+nsIT7Z6gf4v+fg5MFZdiTd6MMb8CcQAiEgr8CXwG3AW8ZowZU5zxKKWUUsHs+uuv\nzznwDLtNP/zvhzy58El6N+nNyM4j/RCdCpRAdpt2AbYaY/7w9pB0pZRSqqx75JFHcg48g6tNFycv\n5q4v7qLD+R2YdtM0faJCCRfIrXcb8JHb+3+IyDoReVdEqgYqKKWUUiponTgBp04VqNt0095N3Dz7\nZhpUbcDnvT6nYrmKRRigKg4SiNtqiEgF4C8gxhizR0RqA/sAAzwP1DHG3O1luv5Af4DatWu3yO35\nnP6SmppKZGRkkS4jmJXl+pflukPZrr/WvWzWHYKz/kOGDAFg3LhxAJQ/fJi2N9/Mbw88wJ/duuU7\n/YGTBxj08yBOZp7krWZvUSe8jtdywVj34lQc9e/UqdNqY0y8X2ZmjCn2P+Am4NtcxkUD6/ObR4sW\nLUxRW7RoUZEvI5iV5fqX5bobU7brr3Uvu4Kx/h07djQdO3Y8PWDrVmPAmGnT8pwuPSPdTFk9xdQa\nXctUGlXJrPxzZZ7lg7Huxak46g+sMn7KowLVbdobty5TEXH/KXALUPoeDqqUUkoVVkqK/Z9Ht+ni\n5MXET4nnvi/vo2G1hiy9aynxdf3T4KOCQ7FfsCAilYArgAFug18RkThst2myxzillFJKwenkzcsF\nC8mHknnk20f4dNOnnFflPGbdOoueMT3RiwJLn2JP3owxx4DqHsP6FnccSimlVInyww8wdKh9Xbdu\ntlHbDm6j9dTWpJ5M5flOz/Nw64cJLx8egCBVcShVT1hQSimlSpOePXvCoUNw553w/vtQpw588AHE\nxGSV2X9sP9fOvJb0zHRW919N4xqNAxixKg6avCmllFLB6MQJBh05Ai+8YG8P8sQT9s+ty/T4qePc\nPPtmkg8lM//O+Zq4lRGavCmllFLBxBj48kt46CGObd0K111HpddfhwsucCti+HTTpzz63aMkH0pm\ndvfZtDuvXQCDVsVJb7GslFJKBYtNm+Dqq+Gmm6BCBa6NjeXa1NRsidua3WvoNKMTPT7uQVSFKBbc\nuYCeMT0DGLQqbpq8KaWUUoF26BAMGQKXXgo//gjjxsEvv0DV0w8c2pO6h/v+fR8tJrdgw94NTLxu\nIj8P+JnO9TsHMHAVCNptqpRSSgVKRgZMnQpPPQX798N998HIkVCzZlaRTJPJK8teYeT3Izmefpyh\nlw/lmY7PcFbYWQEMXAWSJm9KKaVUICxZAg8+CGvWQLt2MH48NGvGjsM7eObzfvy8+2e2/bWNUxmn\nWDJ/CTdcdANjrhzDRdUvCnTkKsA0eVNKKaWK086d8M9/wqxZUK8efPQR9OrF0VPHeHnRs4xePhqA\nqy64ir/L/42UF2b2mckVF1wR4MBVsNDkTSmllCoOx4/DmDHw4ov2itJnnoHHHiOzUjgz133A4wse\n56+Uv+jdpDcvdX2J86qcx/S06QCauKlsNHlTSimlisKuXfZctuXL7fuDB+15bd27w+jREB3Nip0r\nGPLREH768yfi68Yzp/sc2p7XNmsWiYmJgYldBTVN3pRSSil/Sks73cKWkQE33AAVKkC5cpCYCJ06\nsfPwTh779HY+Wv8RdSLrMP2m6fRt2pcQyX4TiH379gFQo0aNAFREBStN3pRSSil/MAY++wwefhiS\nk6FbN5vE1a+fVeTYqWO8kjScV5a9QqbJ5Kn2T/F4u8eJrBDpdZbdu3cHICkpqRgqoEoKTd6UUkqp\nwlq/3l45unAhNGkCCxZA5878fuB3Hp/TnR92/QBAyskUjpw4Qs+Ynrzc9WWiz4oObNyqRNLkTSml\nlCoIY2D+fPj9d/t+3TqYPBmqVIE334QBAzicfpSR3z7K6z++TsVyFel2cTfKh5SnXEg57rj0Dtqf\n3z6wdVAlmiZvSimllK82bLBPQpg///SwkBD4v/+DESPIqHoW7655l6cXPc3eo3tJjEtkVOdR1Imq\nE7iYVamjyZtSSimVn4MHYdgwmDABoqLsDXV79AARCA+HypVJSk5iyMdD+GXPL7Q7rx1zb59Li7ot\nAh25KoU0eVNKKaU8bdoE8+bZLtIjR2x36MGD0L8/PP88J6tWZvb62ew9theAJTuW8PnmzzmvynnM\n7j6bHpf0QEQKHcbAgQMLPQ9V+mjyppRSSrkcOgTDh9tkLSPj9PCOHeH11zGxsXz929c8POthtuzf\nkjU6onwEIzuN5KHWDxFePtxv4fTq1ctv81Klh8/Jm4hEAPcAHYDqQH9jzG8ichuw1hizuYhiVEop\npYrG5s3wyCOwcCHtMzNtwpaRYR8Q/8wzULmy7RqNimLD/zbw0Myr+XbrtzSq3oiven+VdeFBWLkw\nKoRW8Ht4O3fuBODcc8/1+7xVyeVT8iYi5wJJQD1gM9AEiHJGdwK6AvcWQXxKKaWU/x0+DM89B2+8\nAZUqwT338OfevZxXvz707ImJi+OLX79gw7YNAGw7uI0Zv8wgqmIUr131Gvdfdj/lQ8sXeZh9+/YF\n9D5vKjtfW97GAieAhsBfwEm3cYuB4f4NSymllCoCGRkwbRo8+STs2wf33AOjRkGtWmxLSuK8hARW\n/rmSIdPasXzn8qzJyoWUY0CLATzX6TlqVNKnHajA8jV5uwLbTbpDREI9xv0JnOPfsJRSSik/OHwY\nnn8e3nrLPrbKpW1b+OYbaHH6atB9J/aR+HkiM36ZQa2IWrxzwzv0ie1DiIQQIiGEhnh+/SkVGL4m\nbxWAlFzGVQFO+SccpZRSqhC2bIGPPoJTp+DkSZgxA/buhd694cILbZnYWPvoKudq0LT0NMYuH8vI\nn0aSKZn8s80/earDU1SuWDmAFVEqd74mb+uAW4F5XsZdA6z2W0RKKaVUQR05YlvYXn/dJm6hTitZ\nmzbw9dcQH5/rpOmZ6by18i0uq3YZ03pP44JqFxRT0EqdGV+Tt9HAJ849az50hl0iIjdhr0C9sQhi\nU0oppfKWmWlb1554AvbsgbvughdegLPP9nkWkRUiWTdwHet/Wh90idvDDz8c6BBUEPIpeTPG/EtE\nBgEvAXc7g9/DdqX+wxjjrUVOKaWU8q+UFJg40SZqAEuWwMqVcPnl8OWXcNllZzTbYL0I4YYbbgh0\nCCoI+XyfN2PMJBF5H2gN1AL2A8uNMbmdC6eUUkoVzvHj9kIDY+Crr+Cxx+DvvyEy0o6vVQvefx9u\nv90+Y7SU+fXXXwFo1KhRgCNRwaRAT1gwxhwF5udbUCmllCqMlBTb/fnqq/bCA5dWreCLL6Bly8DF\nVowGDBgA6H3eVHa5Jm8i0qEgMzLGfF/4cJRSSpVJ27bZ7tCjR20r2xdfwO7dcMcdp7tCzzsPbrqp\nVLawKVUQebW8JQHGeS1ur3OjN8BRSilVMKmp8OKLMHasTdqqVLHDGzWCf/3LnsumlMomr+Stk9vr\ns4A3gPXALGAPUBvoDcQA9xdVgEoppUohY+DDD+Gf/4S//oI+feCll+Acvee7UvnJNXkzxix2vRaR\n6cC3xhjP55e+JyJTgW7Al0USoVJKqZLv6FEYPx5++82+37ABfvrJ3n/tk0+gdevAxqdUCeLrBQs3\nAT1zGTcb2xqnlFJKWYcOwf799vWPP9qrRHftgnr17JMNIiNh6lRITNRz2PLw9NNPBzoEFYR8Td5C\ngAuB77yMa4ie76aUUgrg2DHb/Tl6dPZniTZvbh9b1a5d4GIrgbp27RroEFQQ8jV5+xp4UUT2Af8y\nxmQ4D6i/FRgJfFVUASqllApiO3bYRG3fPvt+2TLYuRN69YLrrrPDqlaFa645/cgq5bO1a9cCEBcX\nF+BIVDDxNXkbDJyL7SJNF5GDQFVn+qXOeKWUUqXdH3/Ye7AZY68Gffll+/q88+z4Bg3ggw+gQ4Hu\nNqVyMWTIEEDv86ay8/XxWPuA9iJyBXA5UAfYDawwxhTopr0ichbwDtAEe/uRu4FfsYlhNJAM9DTG\nHCzIfJVSShWhnTvtlaGzPE5x7tnTtry5kjelVJEr6BMWvsP7eW8F8TowzxjTXUQqAJWAJ4EFxpiX\nRORx4HHgsUIuRyml1JlatgzefNM+niozE+bPty1sTz0Fri68+vWhRYvAxqlUGVSg5K2wRKQy0AFI\nBDDGnAROishNQIJTbAb2BsGavCmlVHHIzIR164javBkqVLBJ20cfQc2aULeuLdOtG4waBeefH9hY\nlVK+JW8ikkk+T1gwxvhyJmoDYC8wTUSaAquBB4Haxpjdznx2i0gtX+JSSilVSMuXw+DBsHo1WW1o\nFSvCM8/Y23tERAQyOqWUF2JMfk+9AhEZTs7krTpwJVARmG6Mec6H+cQDPwBtjTE/isjrwBHgAWPM\nWW7lDhpjqnqZvj/QH6B27dotZnmee+FnqampREZGFukygllZrn9ZrjuU7fqX6rpnZnL2t99SMykJ\nycgg5MQJzvrvfzlRowbJfftyOCqKsLAwjl54ISdq1gx0tMUuGLf9+vXrAWjSpEmRLicY616ciqP+\nnTp1Wm2MiffHvHxK3nKd2N4u5Evs0xfG+VD+bOAHY0y087499vy2C4EEp9WtDpBkjGmU17zi4+PN\nqlWrzjh2XyQlJZGQkFCkywhmZbn+ZbnuULbrX6rqnpoKa9bYc9UOH4bnn4eVK+Gii6BaNVuma1fb\nwhYZWbrqfgbKcv3Lct2heOovIn5L3gp1zptzv7cJwJtAvsmbMeZvEdkpIo2MMb8CXYCNzl8/4CXn\n/xeFiUsppcq0zEx4/314/HH4++/Tw+vWtcNvv12falBCLF++HIA2bdoEOBIVTPxxwUJFoFoByj8A\nzHSuNN0G3IV9gsMcEbkH2AH08ENcSilV9vz4oz2H7aefoGVLmDQJoqJsshYfbx9LpUqMJ598EtD7\nvKnsfL1gwdsNfCpg79X2EuBz/6UxZi3grdmwi6/zUEophW1hW7HCdo8aY+/BNmMGnH22/d+nj7aw\nKVUK+dryloz3q00F2Arc76+AlFJK+WDlStvC9sMPp4dVqGDPX3vqKdvappQqlXxN3u4mZ/KWBvwB\nrDTGZPg1KqWUUqcZAx9+CBMnwokTkJFhL0SoXRsmTwbXlYjnn3/6vmxKqVLL18djTS/iOJRSSrkc\nPQqLFkF6uk3Wxo+392OLiTl9k9xrr7WPq6pcObCxKqWKna/nvG0DbjHG/OJlXBPg38aYBv4OTiml\nyhTXeWuPPgp//nl6eO3a8O670K+fnsNWxowbl++NHFQZ5Gu3aTT2qlJvwgB9XopSShXU0aPwyivw\n2Wf24oOjRyE5GZo3h3fesRceADRsqE86KKPiXM+RVcpNQW4VktvdfOOBQ36IRSmlSredO2HpUvv6\nwAF46SXYtQs6d4aqVUEEnn4aEhMh1JcnDqrSbv78+QB07do1wJGoYJJr8iYiQ4GhzlsDfCkiJz2K\nhWPv8Va0z6lSSqmS7Ngx28L28suQlnZ6eLNm9kKE9u0DF5sKaiNHjgQ0eVPZ5dXytg1Y4Lzuh72X\n216PMiewT0d4x/+hKaVUCbVzJzzxhL0HG8DBg/avVy97K49Kley5aw0aaAubUqrAck3ejDFf4Dym\nSkQARhhjthdTXEopVXKsWgXr1tnXW7fCa6/Ziw9uvNHee618edsV2qFDQMNUSpUOvt4q5K6iDkQp\npUqcXbvs7To++ij78J49bTfp+Xotl1LK//I65+1Z4B1jzF/O67wYY8zz/g1NKaWCzPLltttz61b7\nfv9+2/35zDNw1122C7RiRXtrD6WUKiJ5tbwNB+YBfzmv82IATd6UUqVHZib8+9/w11/2/bJl9uKC\nunXhuuvslaFRUfDAAxAdHdBQVen19ttvBzoEFYTyOuctxNtrpZQq9X74wT43dOXK08MqVrTPDH38\ncYiMDFxsqkxp1KhRoENQQcjXJyycB+w2xpzyMq4cUNcYs8PfwSmlVJHLzIT334fnn4f9+2mbng6p\nqbaF7b334KqrbLmICL1Rrip2X375JQA33HBDgCNRwcTXm/RuB1oDP3kZ19QZrte7K6VKlh9/tC1s\nP/0El10G113Hnl27qNeqFQwapC1sKuDGjh0LaPKmsvM1eZM8xpUHMv0Qi1JKFY/du23353vv2UdQ\nzZgBffpASAi/JyVRLyEh0BEqpVSu8rra9Czs0xNczhERz4fPh2Nv4Pt3EcSmlFL+sXIlPPTQ6XPY\nTp2CcuXslaNPPWUvPFBKqRIir5a3B4Fh2CtJDfBJLuXEKaeUUoFnjH3Q+8aN9v3mzTBzpr19xz/+\nYZO2ChXgzjvhwgsDG6tSSp2BvJK3z4FkbHL2LjAS2OpR5gSw0RizrkiiU0qp/Bhz+vXq1fDgg/Z+\nbC4VK8Kjj9oHvleuXPzxKaWUn+V1q5BfgF8ARMQAXxlj9hdXYEoplSdj7JMNnngCdrhd7F6rFkyd\nmnUOGyL6/FBVYr3//vuBDkEFIV8fjzWjqANRSqk8HTsG77wDe/bY94sX2xvnNm9un24gAlWqwN13\nawubKjXOPffcQIeggpCvV5siIk2Ae4BGQJjHaGOM6eLPwJRSCrAtbLNn267PXbvsOWtgW9imTDn9\nWCqlSqHZs2cD0KtXrwBHooKJrzfpbQUsxp4D1xBYB1QFzgN2Ab8XUXxKqbJszRp7DtuSJdCsmX08\nVfv2gY5KqWIzceJEQJM3lZ2vLW8vAP8C+gKngHuMMT+LSGfgfezFDEopdeZcV4kuXWrf795tW9yq\nV4fJk213qLawKaWUz8lbLPZ+bq7LukIBjDELRWQk8CLQyv/hKaVKrYwMOHTIvt6+HR55xJ7HFh5u\nu0bLlbOtbsOGwVlnBTZWpZQKIr4mb+WBo8aYTBE5ANRxG/cr0MTvkSmlSidj4JNP7Dlsf/xxenj1\n6jBpEtx7r7awKaVUHnxN3rYC5ziv1wF3i8hXzvu70CcsKKV8sW6dfZbo4sUQGwuvvWYTtYoVoUcP\nqFo10BEqpVTQ8zV5+xJIAD7Env/2NXAEyAAigcFFEZxSqgQzBv7+23aPpqXBq6/C22/bBG3iRNvC\nVs7nC96VKpM++SS3hxupsszX+7wNd3s9X0QuB24FKgHzjDHfFk14SqkS6b//teerLVp0elhoKNx/\nPwwfDtWq5TqpUuq0GjVqBDoEFYTO6GevMWYNsMbPsSilSiJj4Isv7J8xkJICn39uLzIYNcrejw2g\nbVu4+OLAxqpUCTN9+nQAEhMTAxqHCi7aZ6GUOnMbNtgWtgULoEYNiIiwTzoYNMi2sFWvHugIlSrR\nNCoKCBkAACAASURBVHlT3uSavInIdk7fGiQ/xhhzgX9CUkoFvYMH7S08Jkywj6J64w34v//Tc9iU\nUqoY5HWkXYzvyZtSqjTbuNFeGXrkiO0aXbjQJnADBsCIEbbVTSmlVLHINXkzxiQWYxxKqWB08KDt\n/nzrLahUCc5x7hjUqhW88AI0bRrQ8JRSqizSPg6lVE4ZGfa2Hk8/Dfv3Q//+8PzzULNmoCNTSqky\nLyDJm4iEAquAP40x14vIdKAjcNgpkmiMWRuI2JQqkw4dgpdfthcgAJetW2efftC+PYwfD3FxAQ5Q\nqbJp7ty5gQ5BBaFAtbw9CGwCKrsNe9QYo3cjVKo4ZWTAu+/CU0/Bvn32qQchIaRHRsKsWdCzp716\nVCkVEJUqVQp0CCoIhRT3AkWkHnAd8E5xL1sp5WbpUrjsMtsl2qgRrF4Na9fCzz+z5s03oVcvTdyU\nCrAJEyYwYcKEQIehgkwgWt7GAf8EojyGjxKRZ4EFwOPGmBPFHplSpVVmJkybBh9/bFvbjh2D5cuh\nXj346CNN1JQKUnPmzAFg0KBBAY5EBRMxpvjuBiIi1wPXGmMGiUgC8Ihzzlsd7MPtKwCTga3GmBFe\npu8P9AeoXbt2i1mzZhVpvKmpqURGRhbpMoJZWa5/aap75fXrafjGG0Rt2cLR884jPcr+bjoYH8+O\nXr3IDA/PMU1pqn9Bad3LZt0hOOs/ZMgQAMaNG1ekywnGuhen4qh/p06dVhtj4v0yM2OMT3/AOcCr\n2AsNtgFNnOFDgFY+zuNFYBeQjE3WjgEfeJRJAL7Kb14tWrQwRW3RokVFvoxgVpbrXyrqvnOnMbff\nbgwYc845xsycaUxmpk+Tlor6nyGte9kVjPXv2LGj6dixY5EvJxjrXpyKo/7AKuNjzpXfn0/nvIlI\nDPBfoC/wF3A+tpUM5/WDPiaKTxhj6hljooHbgIXGmD5OyxsiIsDNwHpf5qeU8iItzT5TtFEj+PRT\nezHC5s1w++3aNaqUUqWAr+e8jcVeHXoVkAacdBu3HHi5kHHMFJGagABrgf8r5PyUKnuMsQ+Ef/hh\n2L4dunWDMWOgfv1AR6aUUsqPfE3e2gG9jTGpzj3a3O0Bzi7ogo0xSUCS87pzQadXSrlxf0B8TAzM\nnw9dugQ6KqVUISUlJQU6BBWEfE3eMvMYVwM47odYlFK+MAb+/W8YOxaOHrXv163TB8QrpVQZ4et9\n3n4C7splXE9gmX/CUUrlaeNGuOoquPlm+PtvqFvXPm/0wQdhyxb4xz80cVOqFBkzZgxjxowJdBgq\nyPh6lH8emC8i3wIfAgboKiIPArcAHYooPqUU2MdXDR8Ob74JUVHw+uswcCCULx/oyJRSReirr74C\n4JFHHglwJCqY+NTyZoxZjL0KtD7wLvbCgpeA9sDNxpgfiyxCpcqyjAyYPBkaNrTPGL33XtvCNniw\nJm5KKVVG+dy/Yoz5GvhaRC4EagH7jTG/FllkSpV1S5bYJG3tWn1AvFJKqSwFfrapMeZ3Y8xyTdyU\nKiI7d8Jtt0GHDrB/v31A/OLFmrgppZQCfGx5E5E78xidCRwG1hhjdvklKqXKouPHYfRoeOklewXp\ns8/CY49BpUqBjkwpFSDhXh5fp5Sv3abTsRcpgD3fzcV9WKaIzAbuMv/f3r2HyVFXCR//Hu4LKAGR\niIBc5KIuajR5EFBxUJCL4A0UeREVfTauihoVXwFhF0XFdd9dUVZuuoiKCCgLi0KA5RLuqAFDwNVA\nDChRARPlEsCJxPP+UTXSDNOT7s50V/X09/M8/XR3VXXXOV3TM2d+py6ZjSfxlTSezOJKCEccAb/+\nNbztbUURt+WWVUcmqWKzZ8+uOgTVUKtt01cCvwb+A3gN8ILy/mTgN8AbgKMojjw9bsKjlCar+fPh\nta8tCrYNNoCrr4bzzrNwkyQ11erI2xHAOZl5dMO0O4HrIuIRYGZmviUingkcAhw91ptIKi1dWrRF\nTz0VpkyBk0+Gf/gHz9Em6SmOP/54AI499tiKI1GdtDrytidwZZN5VwEj1+G5FthsVYOSJrXTTitO\n/XHaafDBD8JddxXnbLNwkzTKlVdeyZVXNvvzq0HVavG2HJjeZN50nrxQ/WrAo6salDRpffWrxeWr\npk0rTgFy0kmw0UZVRyVJ6iOt/qv/feAzEbEC+AHwAMW53t5GsY/bGeVy0wBPISKN5aKLYNYseNOb\nigMUVl+96ogkSX2o1eLt48AzgC+Vt0ZnA58oH98B3DQxoUmTyA03wMEHw/Tp8N3vWrhJkjrWUvGW\nmY8D74yIzwKvADYFfg/8ODPvbFju4q5EKfWr+++Ho4+Gb36zOIL0hz+E9darOipJfeJZz3pW1SGo\nhtraQ7os1O5c6YKS4NZb4XWvg0cfhU98Ao45pjgdiCS16Pzzz686BNVQ0+ItIp7Xzhtl5m9WPRxp\nkrj3XthvP3jGM+Dmm2GHHaqOSJI0SYw38nYPT15BoRXuxCMBPPJIUbgtW1bs62bhJqlDRx11FAAn\nnHBCxZGoTsYr3t7Lk8Xb2sAxwMPAecD9wHOAt1McyHB8F2OU+scTT8BBB8HPfw4XXwwvfnHVEUnq\nYzfd5DGAerqmxVtmnjnyOCJOBG4F3pKZ2TD9s8CFwIu6GKPUHzLhox+F2bOLE/DutVfVEUmSJqFW\nT9J7MHBaY+EGUD4/Ffg/Ex2Y1He+8pXiMlef/CTMnFl1NJKkSarV4m194NlN5m0CeO4DDbb58+Hj\nH4cDDoAvfrHqaCRJk1irpwqZA3whIn6RmT8dmRgROwGfL+dLg+uCC4r7U06B1Vr9n0iSxrf55ptX\nHYJqqNXi7XDgCuDmiLiX4oCFqcAWwN3lfGlwzZ4NO+0Ez242QC1J7TvrrLOqDkE11NIQQWbeDbwA\n+EfgSmBpef9+4IWZeU+3ApRq7w9/gJ/8BPbdt+pIJEkDoOUrLGTmX4CvlzdJIy6/vDjSdJ99qo5E\n0iQza9YsAE488cSKI1GdtHV5rIh4CbAb8CyKo0/vi4htgfsz85FuBCjV3uzZRbt0+vSqI5E0ycyb\nN6/qEFRDLRVvEbE2cBbwViAoTt77Q+A+4EsU1zs9sksxSvW1YgVcemnRMvVABUlSD7T61+bzwB7A\noRQHKkTDvNmAZyPVYJo7F5YudX83SVLPtNo2PRg4JjPPjojR1zC9G9hqQqOS+sXs2cWI2+tfX3Uk\nkqQB0Wrx9izgF03mrUZx7VNp8Fx9NcyYARttVHUkkiah7bffvuoQVEOtFm93A7sAV40xbydgwYRF\nJPWThx6CLbesOgpJk9Tpp59edQiqoVb3efs2cGREHAKsVU7LiNgd+BhwRjeCk2pveBjWduBZktQ7\nrRZvXwIuBr4D/LGcdj3FVRcuzcyTuhCbVH/Ll1u8SeqamTNnMnPmzKrDUM201DbNzBXAOyLiaxRH\nlm5CcZWFSzPzmi7GJ9Xb8DCstdbKl5OkDtx5551Vh6AaauskvZl5HXBdl2KR+o9tU0lSj/X0rKIR\nsU5E/CQibouIn0fEZ8rpW0fEjyPirog4NyIcylB/sG0qSeqxXp8Sfhh4bWa+FJgG7B0ROwP/Anw5\nM7cD/gS8r8dxSZ2xbSpJ6rGeFm9ZWFY+XbO8JfBa4Afl9G8Bb+5lXFJHMm2bSuqqadOmMW3atKrD\nUM1EZvZ2hcUVGm4BtgW+BvwrcHNmblvO3wKYnZk7jvHamcBMgKlTp04/55xzuhrrsmXLWH/99bu6\njjob5PxbyT2eeILX7Lkni973Pn7zznf2KLLecNub+yAa5PwHOXfoTf677777LZk5YyLeq60DFiZC\neeTqtIiYAlwAvHCsxZq89nTgdIAZM2bk0NBQt8IEYM6cOXR7HXU2yPm3lPuyYhB5mx12YJtJ9jm5\n7YeqDqMSg5w7DHb+g5w79F/+bRVvEfESYDeKy2Wdlpn3RcS2wP2Z+Ug775WZD0bEHGBnYEpErJGZ\nTwCbA79r572kSgwPF/e2TSV1yTvLUf2zzjqr4khUJy3t8xYRa0fE94GfAV8F/gl4bjn7S8CnW3yf\nZ5cjbkTE3wF7UFwz9WrgwHKxdwP/3WoCUmWWLy/uLd4kdcnixYtZvHhx1WGoZlo9YOHzFIXWocBU\nIBrmzaY4cW8rNgWujoj5wE+B/8nMHwGfAj4eEQspRvX+s8X3k6ozMvLm0aaSpB5qtW16MHBMZp5d\nHnDQ6G5gq1beJDPnAy8bY/oiigvcS/3DtqkkqQKtjrw9i6K92ew9/OulwWPbVJJUgVZH3u4GdgGu\nGmPeTsCCCYtI6he2TSV12S677FJ1CKqhVou3bwNHR8Q9wH+V0zIidgc+Bhw38aFJNWfbVFKXnXDC\nCVWHoBpqtW36JeBi4DvAH8tp1wNXAJdm5kldiE2qN9umkqQKtDTyVp5Y9x0R8TWKI0s3AZZSFG7X\ndDE+qb5sm0rqsgMOOACA888/v+JIVCdtnaQ3M68DrutSLFJ/sW0qqcuWLl1adQiqoVZP0rtfRBze\nZN6HImLfiQ1L6gO2TSVJFWh1n7djgfWazPu7cr40WGybSpIq0Grx9gLg1ibz5jH2xeWlyc22qSSp\nAq3u87YasH6Tec8A1pyYcKQ+YttUUpe97nWvqzoE1VCrxdttwCHABWPMOwSYP2ERSf3CtqmkLjv2\nWPdK0tO1Wrz9G3B+RHwf+DqwGNgMmAm8BXhbd8KTasyRN0lSBVo9z9sFEfFR4PPAW8vJASwDPpKZ\n/9X0xdJk5T5vkrpsn332AWD27NkVR6I6afk8b5l5UkScCexKcaH6JcCNmbmsS7FJ9TY8DKutBquv\nXnUkkiapxx9/vOoQVEPtnqT3EeCyLsUi9Zflyx11kyT1XNPiLSK2aeeNMnPRqocj9ZHhYYs3SVLP\njTfythDINt7L3pEGy/CwR5pKknpuvOLtsJ5FIfUj26aSumy//farOgTVUNPiLTO/1ctApL5j21RS\nlx1xxBFVh6AaavXyWJJGs20qSaqAxZvUKdumkrpsaGiIoaGhqsNQzVi8SZ1y5E2SVAGLN6lT7vMm\nSaqAxZvUKdumkqQKWLxJnbJtKkmqQFuXx5LUwLappC57+9vfXnUIqiGLN6lTtk0lddkHP/jBqkNQ\nDdk2lTpl21RSlz322GM89thjVYehmnHkTeqUbVNJXbbvvvsCMGfOnGoDUa048iZ1yrapJKkCFm9S\np2ybSpIqYPEmdcq2qSSpAhZvUidWrChuFm+SpB7zgAWpE8uXF/e2TSV10Xve856qQ1ANWbxJnRge\nLu4deZPURRZvGktP26YRcUZEPBARdzRMOy4ifhsR88rbvr2MSerIyMibxZukLlqyZAlLliypOgzV\nTK/3eTsT2HuM6V/OzGnl7ZIexyS1b2TkzbappC468MADOfDAA6sOQzXT0+ItM68F/tjLdUpdYdtU\nklSRuhxtenhEzC/bqhtWHYy0UrZNJUkViczs7QojtgJ+lJk7ls+nAkuABI4HNs3M9zZ57UxgJsDU\nqVOnn3POOV2NddmyZay//vpdXUedDXL+K8t9/bvuYsbMmdxx/PEsedWrehhZb7jtzX0Q1TH/WbNm\nAXDiiSd2dT11zL2XepH/7rvvfktmzpiI96r8aNPMvH/kcUR8HfjROMueDpwOMGPGjBwaGupqbHPm\nzKHb66izQc5/pbmvsw4AO06fDpPwM3LbD1UdRiUGOXeoZ/5TpkwB6Hpcdcy9l/ot/8qLt4jYNDN/\nXz59C3DHeMtLtWDbVFIPfOADH6g6BNVQT4u3iPgeMARsHBGLgX8GhiJiGkXb9B7g/b2MSeqIR5tK\n6oGDDjqo6hBUQz0t3jLz4DEm/2cvY5AmhEebSuqBe++9F4Atttii4khUJ5W3TaW+ZNtUUg8ceuih\nQLFPljSiLqcKkfqLbVNJUkUs3qRO2DaVJFXE4k3qhG1TSVJFLN6kTtg2lSRVxAMWpE7YNpXUA5/4\nxCeqDkE1ZPEmdcK2qaQe2H///asOQTVk21TqxMjI25prVhuHpEltwYIFLFiwoOowVDOOvEmdGB4u\n9neLqDoSSZPY+99fXHTI87ypkSNvUieWL7dlKkmqhMWb1ImRkTdJknrM4k3qxPCwI2+SpEpYvEmd\nsG0qSaqIByxInbBtKqkHjjnmmKpDUA1ZvEmdsG0qqQf22GOPqkNQDdk2lTph21RSD8ybN4958+ZV\nHYZqxpE3qRO2TSX1wKxZswDP86ancuRN6oRtU0lSRSzepE7YNpUkVcTiTeqEbVNJUkUs3qRO2DaV\nJFXEAxakTtg2ldQDX/jCF6oOQTVk8SZ1wrappB7Yddddqw5BNWTbVOqEbVNJPXDjjTdy4403Vh2G\nasaRN6kTy5c78iap644++mjA87zpqRx5kzrhyJskqSIWb1K7Mj1gQZJUGYs3qV1/+Utxb9tUklQB\nizepXcPDxb0jb5KkCnjAgtQuizdJPXLiiSdWHYJqyOJNatfy5cW9bVNJXTZt2rSqQ1AN2TaV2uXI\nm6QeueKKK7jiiiuqDkM148ib1C6LN0k98rnPfQ6APfbYo+JIVCeOvEntsm0qSaqQxZvULkfeJEkV\nsniT2mXxJkmqUG2Kt4jYOyIWRMTCiDiy6nikpmybSpIqVIsDFiJideBrwJ7AYuCnEXFRZv5vtZFJ\nY3DkTVKPnHbaaVWHoBqqRfEG7AQszMxFABFxDvAmoLLibdZhD3HDNVuz3npLqgqhco8+Orj5j5v7\nwy8ArobD/x7W72lYPfPgg9OYMqXqKKph7lVHUZ165r9DT9ZSz9x7Z+ONt2VoqOooWleX4m0z4N6G\n54uBV4xeKCJmAjMBpk6dypw5c7oW0IO3JuvdHV17/36wXtUBVKiV3B9+7HH++sSKrsdShRUrVvDg\ngw9WHUYlzH0wc4d65v/QQ7MB2GCDfbq6njrm3ksbbLC8qzXFRKtL8TZWlZRPm5B5OnA6wIwZM3Ko\ni2Xy0OX3M/fCC5kxY0bX1lF3c+fOHdj8V5r7hhvCNpv0LqAemzNnDt38ftWZuQ9VHUZl6pj/0FDR\nNp0z5+CurqeOuffSnDnz+ir/uhRvi4EtGp5vDvyuolgKU6eybIcdYPr0SsOo0rJHHhnY/Ac5d0lS\nvdXlaNOfAttFxNYRsRbwDuCiimOSJEmqnVqMvGXmExFxOHAZsDpwRmb+vOKwJEmSaqcWxRtAZl4C\nXFJ1HJIkSXVWm+JNkiQ91Xe+852qQ1ANWbxJklRTW2yxxcoX0sCpywELkiRplHPPPZdzzz236jBU\nM468SZJUU6eccgoABx10UMWRqE4ceZMkSeojFm+SJEl9xOJ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KiiNOT6I4dcYnaShOViHe\nsdwH/IZitO0iiqNxnwvsl5m3lMt8g+L8Yl+gOP3KDxteP9GfwXjreorMvKdcZv8mi1xLMer2lFOJ\nlAcn3FTOa2d/tzp4A8U+deMe/CJpbFHs5ytJqkpEvIdi5HDTZkfoTiYRMRtYkpmHrnRhSU9j8SZJ\nFSv3+7sdOCMzJ3UrMSKmUVywfsfMXFh1PFI/sm0qSRUrW6DvpTjwYLJ7DsVJji3cpA458iZJktRH\nHHmTJEnqIxZvkiRJfcTiTZIkqY9YvEmSJPURizdJkqQ+YvEmSZLURyzeJEmS+ojFmyRJUh/5/8+5\nzSo13en2AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "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);" ] }, { "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?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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 35% increase from present-day)." ] }, { "cell_type": "code", "execution_count": 31, "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", "The ice edge is at [-0. 0.] degrees latitude.\n" ] }, { "data": { "image/png": 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AEy9obzuOqgGd46L485mt+GTxNlZlHbYdR1UzLRrKo2ak72Zexj7uPS+JRjono9a4f2gS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\nVhXAMnOK36/H39z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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "my_ticks = [-90,-60,-30,0,30,60,90]\n", "\n", "model4 = climlab.process_like(model2) # initialize with cold Snowball temperature\n", "model4.subprocess['insolation'].S0 = 1830.\n", "model4.integrate_years(40)\n", "plt.plot(model4.lat, model4.Ts)\n", "plt.xlim(-90,90); plt.ylabel('Temperature'); plt.xlabel('Latitude')\n", "plt.grid(); plt.xticks(my_ticks)\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": 32, "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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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model4.subprocess['insolation'].S0 = 1840.\n", "model4.integrate_years(10)\n", "plt.plot(model4.lat, model4.Ts)\n", "plt.xlim(-90,90); plt.ylabel('Temperature'); plt.xlabel('Latitude')\n", "plt.grid(); plt.xticks(my_ticks);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suddenly the climate looks very very different again! The global mean temperature is" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array(57.73355447082798)" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model4.global_mean_temperature()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A roasty 58ºC, and the poles are above 20ºC. A tiny increase in $S_0$ has led to a very drastic change in the climate." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we will complete the plot of ice edge versus solar constant." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true }, "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.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.icelat)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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6dCkZGRkApKWlMXfuXAAmTZpEjRo1mDNnDvfccw9nnXUWixYtokGDBhx++OGM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\n2LYvABsD+099OJIktbdm6QAkSZrGDgO+m5lvadl2EfCl0t82R8TszHy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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure( figsize=(18,6) )\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);" ] }, { "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": { "collapsed": true }, "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": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 1 }