{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Spectrally-resolved Outgoing Longwave Radiation (OLR) with `RRTMG_LW`\n", "\n", "In this notebook we will demonstrate how to use `climlab.radiation.RRTMG_LW` to investigate the clear-sky, longwave response of the atmosphere to perturbations in $CO_{2}$ and SST. In particular, we will use the new `return_spectral_olr` feature to explain the behaviour of the OLR to these changes.\n", "\n", "Originally contributed by [Andrew Williams](https://github.com/AndrewWilliams3142)" ] }, { "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", "import xarray as xr\n", "import scipy.integrate as sp #Gives access to the ODE integration package" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Set up idealized atmospheric profiles of temperature and humidity\n", "\n", "In this example, we will use a temperature profile which is a moist adiabat, pegged to an isothermal stratosphere at $T_{strat}=200 \\mathrm{K}$. We will also assume that relative humidity is fixed (a decent first-order assumption) at a constant value of $\\mathrm{RH}=0.8$, with a profile given by [climlab.radiation.water_vapor.ManabeWaterVapor](https://climlab.readthedocs.io/en/latest/api/climlab.radiation.water_vapor.html#climlab.radiation.water_vapor.ManabeWaterVapor)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from climlab.utils.thermo import pseudoadiabat\n", "\n", "def generate_idealized_temp_profile(SST, plevs, Tstrat=200):\n", " \"\"\"\n", " Generates an idealized temperature profile with specified SST and Tstrat\n", " \"\"\"\n", " solution = sp.odeint(pseudoadiabat, SST, np.flip(plevs))\n", " temp = solution.reshape(-1)\n", " temp[np.where(temp" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "state = make_idealized_column(300)\n", "\n", "# Plot the profile\n", "fig, ax = plt.subplots(dpi=100)\n", "\n", "state['Tatm'].to_xarray().plot(ax=ax, y='lev', yincrease=False)\n", "\n", "ax.set_xlabel(\"Temperature (K)\")\n", "ax.set_ylabel(\"Pressure (hPa)\")\n", "ax.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, compute specific humidity profile using [climlab.radiation.water_vapor.ManabeWaterVapor](https://climlab.readthedocs.io/en/latest/api/climlab.radiation.water_vapor.html#climlab.radiation.water_vapor.ManabeWaterVapor)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "h2o = climlab.radiation.water_vapor.ManabeWaterVapor(state=state,\n", " relative_humidity=0.8)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(dpi=100)\n", "\n", "h2o.q.to_xarray().plot(ax=ax, y='lev', yincrease=False)\n", "\n", "ax.set_xlabel(\"Specific humidity (g/g)\")\n", "ax.set_ylabel(\"Pressure (hPa)\")\n", "ax.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run the profiles through `RRTMG_LW` \n", "\n", "With $CO_{2}=280\\mathrm{ppmv}$ and all other radiatively active gases (aside from water vapour) set to zero." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "absorber_vmr = {'CO2':280/1e6,\n", " 'CH4':0.,\n", " 'N2O':0.,\n", " 'O2':0.,\n", " 'CFC11':0.,\n", " 'CFC12':0.,\n", " 'CFC22':0.,\n", " 'CCL4':0.,\n", " 'O3':0.}\n", "\n", "# RRTMG radiation\n", "rad = climlab.radiation.RRTMG_LW(state=state, specific_humidity=h2o.q, \n", " icld=0, # Clear-sky only!\n", " return_spectral_olr=False, # Just return total OLR\n", " absorber_vmr = absorber_vmr)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Field([301.06657198])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rad.compute_diagnostics()\n", "rad.OLR" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Now, wrap it all into a simple function\n", "\n", "This will make it easier to explore the behaviour of the OLR as a function of temperature and $CO_{2}$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def calc_olr(SST, CO2ppmv, return_spectral_olr=False, RH=0.8, Tstrat=200, qStrat=5e-06):\n", " # Couple water vapor to radiation\n", " ## climlab setup\n", " # create surface and atmosperic domains\n", " state = make_idealized_column(SST, Tstrat=Tstrat)\n", "\n", " # fixed relative humidity\n", " # Note we pass the qStrat parameter here, which sets a minimum specific humidity\n", " # Set RH=0. and qStrat=0. for fully dry column\n", " h2o = climlab.radiation.water_vapor.ManabeWaterVapor(state=state,\n", " relative_humidity=RH,\n", " qStrat=qStrat,\n", " )\n", " \n", " absorber_vmr['CO2'] = CO2ppmv/1e6\n", " \n", " # RRTMG radiation\n", " rad = climlab.radiation.rrtm.rrtmg_lw.RRTMG_LW(state=state, specific_humidity=h2o.q, \n", " icld=0, # Clear-sky only!\n", " return_spectral_olr=return_spectral_olr, \n", " absorber_vmr = absorber_vmr)\n", " rad.compute_diagnostics()\n", " \n", " return rad" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Field([301.06657198])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Test this gives the same as before...\n", "calc_olr(SST=300, CO2ppmv=280).OLR" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, lets iterate over a few `(SST, CO2)` pairs" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 6.65 s, sys: 84.4 ms, total: 6.74 s\n", "Wall time: 6.76 s\n" ] } ], "source": [ "%%time\n", "\n", "n=20\n", "\n", "OLRS = np.zeros((n,n))\n", "temparray = np.linspace(280, 290, n)\n", "co2array = np.linspace(280, 1200, n)\n", "\n", "for idx1, temp in enumerate(temparray):\n", " for idx2, co2 in enumerate(co2array):\n", " OLRS[idx1, idx2] = calc_olr(temp, co2).OLR" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'SST (K)')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Un+Ojfxwf1VG28Lhn5TOYMqG1dV6zck3t18YjN88EzhjrsaOc+mIH0jcB/wh8GDgNOBz4rqRDI+L6bFyrp77IhWOkD6oUIQ6QzTlAes/hUR1lC48e2AkYqrvfzFaRkU59UTtA46qIOD/7/WZJryYdRVqLkVZPfZELx0gPOUKqywHSW46P8nN0jGooIpY3O3i0U1+QwmIdcHvDQ35HFi3tnPoiL46RHqhKhDhANnF89Jbjo9wcHt2XfTUzFzgamNl46ouIWCNpIdB4uO+upAM9oESnvnCMdJEjpFocIL3j+Cgvh0ffjHnqi+z3c0mH6d4A/JS0z8ibSNdwgxKd+sIx0iVVCBFHiAOkVxwf5eTwyNW4p76IiO9Jej/pemsXAncAb6ldu61Mp75wjHSo7BHiAHGA9ILjo3wcHsXSzKkvsnGXApeOMb8Up75wjLTJEVJuDpDucnyUi8PDisYx0qIyR4gDxAHSLY6P8nB4WBk4RlpQ1hAZ5AhxgHSH46McHB5WVo6RJjhCysUB0jnHR/E5PKxKHCNjcISUhwOkM46PYnN4WNU5RkbgCCkHB0hnHCDF5PCwQeQYaVC2EHGAWLMcH8Xj8DBLHCN17ln5DKZslfdaNGeQIsQB0h7HR/E4PsxG5hgpmUGJEAdI6xwfxeLwMGueY6QkBiFCHCCtc4AUg8PDrDOOkYJzhFg9x0cxOD4G2wMrt2WSprb0mHUrV/dobarBMVJQVY8QB0jzHCD5cniY9Z5jpGCqHCEOkOY4PvLl+DDrP8dIQThCBpsDJB8OD7NicIzkrKoR4gAZm+MjH46Papu0fCIbnpqY92pYGxwjOalihDhAxuYA6T/HR3VNWu7oqBLHSJ9VLUIcIKNzfPSXw6OaHB2DwTHSJ46QweAA6R/HR7U4OgabY6THHCHV5wDpD8dHdTg8rJFjpEeqFCEOkOEcH/3h+Cg/R4c1yzHSZY6QanKA9JbDo/wcHtYJx0iXVCVCHCCbOEB6x/FRbg4P6zbHSBdUIUQcIYkDpDccH+Xl8LB+mJD3CpTZ/Su2K3WILB6avvE2yIaWb7HxZt2xYfmUYTcrh0nLJ252s3xImiNpoaQhSUskXSlptxHG7S7paknLsrE/l/S8EcZJ0o8khaSj+vIiWuAtI20oc4CAt4KAt4B0m4OjfBwahXcIcDGwkPRZfRYwT9IeEbECQNKLgAXAF4GPAcuA3YGnRljeSUD0frXb4xhpgSOkvBwf3eX4KBeHR6FMl1R/f3VErG4cFBGH19+XNBtYAswAbsgmnwX8MCI+VDf0nsZlSXo5cAqwL/BQR2vfI46RJpU1RBwg1g2Oj/JweBTegw33zwTOaOJx22Q/HwOQNAE4AvhXSdcCrwDuBc6OiCtrD5K0JfB14AMRsbghhArDMTIOR0i5OEC6w/FRDg6PfDz85HQmbpja0mPWr9z4/9ROwFDdrM22ijRSKojzgAURcVs2eQdgK+AfgQ8DpwGHA9+VdGhEXJ+NOx+4MSKuammF+8wxMgpHSHk4QLrDAVJsDo/KGIqI5S0+5iJgL+DAumm1A1Cuiojzs99vlvRq4P3A9ZJmAa8hbTUpNMdIA0dIeThCOuP4KC6Hh9VImgvMAg6OiPqveB4F1gG3Nzzkd2yKltcALwKeaPh65juSfhYRM3uy0m1wjNR5YOW2THpa3mvRPAeItcLxUVyOD2uUfTUzFzgamBkR99bPj4g1khYCjYf77grcn/1+DvCFhvm3AicD3+/6SnfAMVJCgxYhDpD2OD6KyeFhTboYOBY4EhiStGM2fVlErMp+Pxf4pqQbgJ+S9hl5EzATICIWA4vrF5ptIfljY9zkzTFSIoMUIQ6Q9jhAisXhYR04Ifs5v2H6bOAygIj4nqT3A3OAC4E7gLdExII+rWPXOEZKYFAixAHSOsdHcTg8rJsioqljcCPiUuDSbi+33xwjBTYIEeIAaY3jozgcHzaIJE0GdgS2BB6JiMe6sVzHSAFVPUIcIK1xgOTP4WGDTNJWwF8DfwW8CphaN+9BYB7wuYhY2O5zOEYKxBFi4PgoAseHWSLpZOB04D7gatIROn8CVgHbA3sCBwH/JennwAcj4s5Wn8cxUgBVjhAHSHMcIPlxeJiN6dXAoRFx6yjzfwlcmu1I+27SBf4cI2VS1QhxgIzP8ZEfx4dZ8yLibU2OWw18ut3ncYzkwBEymBwg/efwqL4pDSdWXz/ulV6sWZK2ALaPiD81TH9pRPy2m8/lGOmjKkaIA2R0jo/+c3xUV2N0WG9JeivpInuPZWeDfW9E/CKbfTnwym4+n2OkD6oWIQ6Q0TlA+svxUT2OjsL4MPDKiHhE0j7AlyWdFRFfA7p+rhLHSA85QgaDA6Q/HB7V4/AotMkR8QhARNwk6WDgu5L+DIhuP9mE8Yf0jqQ5khZKGpK0RNKVknZrGLOVpIskPShplaTfSTphhGUdIOknklZIekLS/Oz7rr5bPDS9MiEytHyLjTdLNiyfMuxmvTFp+cRhNyuvKctHvlmhLZG0V+1ORCwFDgN2B/Ya9VFtynvLyCGkiwEtzNblLGCepD0iYkU25nzgUOA40nHOrwc+LWlRRFwFKUSAa4CzgQ8Ca4CXAxv691KqtSXE8TGco6P3HBzVMAiR8eTyaUxYN62lx2xYWcizsI/lHcC6+gkRsQb4K0kXdfvJco2RiDi8/r6k2cASYAZwQzb5AODLETE/u/85Se8D9gGuyqadD1wYEefULa7l45w7UYUQcYAM5wDpLcdHuQ1CdAyyiHhwjHn/3e3ny/VrmhFsk/2sP9f9AmCWpOcqORTYFbgWQNIOwH6kTUo3SnpY0vWSDhztSSRNlbR17Qa0XRJV+ErGX8Ns4q9fesdfu5SXv2IxSTv2cvl5f02zUXbo0HnAgoi4rW7WicDngQdJm4w2AO+pu0TyC7OfZwCnAjcD7wR+LGnPUU5LOwf4WCfrW4UAMW/96CUHRzk5NGwU8+jBviI1hYkR4CLSC23conEisD8wC7gfOJi0z8hDEXEdm7buXBIRX8p+/7Wk1wLvIoVHo7NJ4VMznRQ743KElJ8DpDccH+Xj8LAW9HSnl0LEiKS5pNg4uP57quxomE8CR0fED7LJv5G0N2kryHXAQ9n02xsW+zvgeSM9X3ba2o3n6UsbZcZX5hAZ9AhxgHSf46NcHB7Woa4fzlsv1xjJvpqZCxwNzIyIexuGTM5ujUfFrGfTFpH7gEXAbg1jdgV+1I31dISUkwOkuxwf5eHwsLLJe8vIxcCxwJHAUN0OMssiYlVELJd0PXCupFWkr2kOIe0TcgpARISkc4EzJd1C2mfkeOAlwFs7WbmyRogDxLrB8VEODg+rgrxjpHbysvkN02cDl2W/v520j8cVwPakIDkd+GxtcERcIGka6RDf7YFbgMMi4u52VsoRUi4OkO5wfBSfw8NytKaXC8/7PCPj7qwREYtJcTLeuHOAc8YbN54yhsggRogDpHOOj2JzeFiRRMQ+vVx+2zEiaWdgF2BL4BHgt9mOoaX18JPTmbhl3mvRvEGLEAdIZxwfxeb4sDLIvoXYC9iBhnOVRcTV7S63pRiR9Hzg/cBfATsz/FCfNZJ+BnwO+E5E9PVU7IPCAWLNcnwUl8PDykjS4cBXgGeMMDuAtv/SafoMrJL+HbgVeDHwUeClpDOmTgF2BN5IOlvqx0mH3+7b7krZ5gbpLKk+C2r7fIbT4vHZS60dzVxINhu3u6SrJS3Lxv5c0vPq5k+VNFfSo9mFZK+WtFObq3UR8G3g2RExoeHW0V86rWwZWQO8qHZJ4QZLgJ9ktzMlvRF4PukCeNaBQQkQ8FaQdjg6isWhYV007oVkJb2ItBHgi6Szii8jXVX3qbrlXAC8iXQwyFLgU8B/SpoREetbXKcdgPMi4uF2X9Romo6RiPiHZsZJ2joiftj+KhkMToQ4QFrj+CgWx4f1SpMXkj0L+GFEfKhu6D11j9kGeDfwjuyM5Ug6DngAeB3ZNd5a8B/ATKCtI1XH0uo+I6dGxL+NMX9r0vnr9+90xQbVIESIA6Q1DpBicHhYl0xvOOv36iYP/hh2IVlJE4AjgH+VdC3wCuBe4OyIuDIbO4N04tB5tYVExCJJtwGvpvUY+QDwbUkHkXbbWFs/MyIubHF5G7V6NM3HJS2tuwbMRpK2Ir2wrdtdmUFW9QhxgDTP8VEMjg8bzYahKbCutb/TNqzaeExH43XQziRd6HVUo1xIdgdgK+AfgQ8DpwGHA9+VdGhEXE/an3NNRDzesMiHs3mtOhZ4A7CKtIWk/hTxAfQtRt4BXC7p8bryqoXIPNIJxw5ud2UGkSPEwAGSN4eH9dFOwFDd/Wa2iox0IdnaAShXRcT52e83S3o16ajX68dYnmjvWjOfIB3Ack63j5htKUYi4j8kbQt8TdIREfHTLESuIR3qc0gvdmypoipHiANkfI6PfDk+LEdDEdH0n8DRLiQLPAqsY+SLxNaiZTEwRdJ2DVtHdgBubHnN09Gz3+zFqTtaPulZRHxB0vbAlZKOJB3KuyMpRB4a+9FW1QhxgIzPAZIPh8dgmJz9d57Q05OW9894F5KNiDWSFjLyRWLvz37/FWm/jsOAb2XLfTawJ/AhWvdl4Bjgk208dkxtnYE1Iv5V0nbAj0lXzT0kIv7UzRWrGkfI4HF85MPxUW2TB+e/75gXks1+Pxf4pqQbgJ+S9hl5E2l/DiJimaQvAp+StJS08+u/kXY+va6NdZoIfEjSG4DfsPkOrKe0sUyg9aNpvtswaS1pU9GF9XsHR8Sb212hqqlihDhARucA6T/HRzUNUHSMZtwLyUbE9yS9H5hD2nn0DuAtEbGgbvzJpK9zvgVsQdqI8DdtnGME4GXAr7Pf92yY184+KBu1umVkWcP9r3fy5FXmCBkcDpD+cXhUk8Njc81cSDYbdylw6RjznwI+mN06XadDO13GaFrdgXXcq+cOuqpFiANkc46P/nF8VIujw0bT9lV7bXNVCREHyOYcIP3h+KgOh4e1oukYkfRZ4KyIeKCJsccAkyLiik5WriwcIdXkAOk9x0f5OTqsG1rZMvIIcJukG4GrgZuARaQL8mwH7EE6tvntwJ+A/9vdVS2eKkSIA2Q4B0hvOT7KzeFhvdLKhfI+kp185d2ks7s17kk7RDpU6D0RMa/x8VXiCKkOx0fvODzKzeFhNZL+LCLu6uVztLoD6xLgbODs7EyszycdKvQocHdEdHRoTxmUPUQcIQ6QXnF8lJfDw8bxB0l/Ip3L5KfATyPivm4+Qds7sEbEE8ATXVuTgitzhDhAHCC94PgoJ4eHteGQ7DaTdJ2caZL+CPyETXHS0YlPfTTNOBwh5eUA6S7HR/k4PKwbIuJnwM+AT0iaDBxACpOZwF8BUyXdFRGNp6ZvmmNkFI6QcnKAdI/jo1wcHtYPEbEWuCG7Ls7/AG8A3gv8WSfLdYyMoKwhMqgR4gDpHgdIOTg8rN8kTQNeDRxK2iKyL3AvcD3p1PXXd7L8Vq9N8zzggaruqPrk8mlMWDct79VoiQPEOuH4KD6HR/FMGprIhLWt/R204any/p0l6XpSfNwN3EC6mvD1EfFwt56j1S0j9wLPBpZ0awWsPYMYIQ6Qzjk+is3hYQX1auAh0s6q84EbIuLRbj5BqzHS1IV7rHcGLUIcIJ1xfBSb48NKYlvgINLXM6cBX5f0B9JXM/NJW0ke6eQJvM9ICThArFmOj+JyeFhZRcQK4JrshqTppDOuHwp8CLhC0p0R0Xgy1Ka1EyPvkfTkWAMi4sI218fqDFKEOEDa5wApHoeHVdwK4LHs9jiwDti9kwW2EyPvB9aPMT8Ax0gHHCE2FsdHsTg8rOokTQD2IX1Ncyjwf4Cnka5D91Pgb7OfbWsnRvbJTgtvXTYoEeIAaY3jo1gcHzaAniDFx0OkfUROIZ119e5uPUGrMVLJQ3rzNggR4gBpjQOkGBweZgD8Ayk+/tCrJ/DRNDmqeoQ4QJrn+CgGx4fZ5iLikl4/R6sxciYw5s6rNj5HiIEDJG8OD7PxSXpeRPyxhfHPbeeieRNaHD8X2L7hiV8q6UuSviXp2FZXYJBsWD6lsiEyafnEjTcb2ZTlw2/WX5OXD7+ZWVMWSvq8pFeNNkDSNpLeK+k24M3tPEmrW0YuJu3Ackq2AjuQruS3iHSa2MskTYyIy9tZmaqqcoDY2Bwd+XBsDIapyzbfjXH9Gu/a2GW7A/8EXCNpLXAT6TP/KWA7YA/gpdn0f4iIH7XzJK3GyP7A7Lr77yQdZ7x3RKyTdCrpEB/HCI6QQeT4yIfjo9pGig7rj4h4DDhV0oeBN5LOxLoLsAXwKHAFcG1E3NbJ87QaIzuSrk9T8xrgexGxLrt/NTCnkxWqgipGiANkdA6Q/nJ4VJejYxNJc0hfebwEWAXcCJwWEXfUjbkMOL7hob+IiP0blnUAcBawH7AWuBn484hY1ez6RMRTwHezW9e1GiPLSeeovz+7/yrgi3XzA5ja+WqVV9VCxBEyMgdI/zg+qsnhMa5DSLtGLCR9Vp8FzJO0R3Z69pprGP6NxZr6hWQhcg1wNvDBbP7LgQ29W/XWtRojvwROlPReUrFNB35SN39X4IEurVupVClCHCCbc3z0j+OjWhwdm5kuDTtLxuqIWN04KCIOr78vaTawBJgB3NDw+MVjPN/5wIURcU7dtDtbXusea/Vomo8AR5I2GX0T+NeIeLxu/ttJV/EbGFU6QsZHwwznI1/6w0e5VMfUZbHZzTbzILCs7tbsrg3bZD8fa5g+U9ISSX/IjnrZoTYj+30/YImkGyU9LOl6SQd2+Bq6rqUtIxFxs6TdgVcDiyPiFw1DvgHc3q2VK7IqBYht4vDoLcdGNQx6ZEwegolrxh9Xb/2mbR87AUN1szbbKtJIaVPKecCChh1FfwR8m7TrxAuAjwM/kTQj29rywmzcGcCppH1F3gn8WNKeEVGYLSQtX5smIh4Brhpl3g86XqMSqEKIOEI2cYD0juOj/AY9PHpgKCJa/T/jImAvYNgWjYj4Zt3d2yTdRAqTI0g7mta+/bgkIr6U/f5rSa8F3kUXDzhp92RnNS3FiKT9gO3rjyOW9E7SmVmfBlwJfHCk77+qoOwR4gBJHB+94/goN4dH8UiaC8wCDo6IB8caGxEPSbofeHE26aHsZ+M3Fr8Dntel9dsROB14D+lw37a0us/IGaQ6q63Ey0hH01wHnAO8iQoe2lv2/UK8L4j3/+gV7+9RXt6/o9iUXEQ6WOQ1EXFvE495OrAzmyLkPtIJynZrGLorm46KbWZdtpV0haRHJC2SdKKkCZL+GbiHdA6ydzW7vJG0+jXN3qSdWGveTjqm+b3ZCj9A2kpyRicrVRRlDhDwlhCHR/c5OMrJoVFKFwPHkg4aGcq2QAAsi4hVkrYifdZ+hxQfuwCfJJ2I7HsAERGSzgXOlHQLaZ+R40nnLnlrC+vySeBg4MvA4aQjdA4HppHOV9LxgSutxsh2wMN19w8hHb9cs5BUZaVX1hBxgOS9BtXi+Cgfh0dlnJD9nN8wfTZwGbAeeBlph9RtSUHyU+CYiNi4g2xEXCBpGikgtgduAQ6LiLtbWJcjgNkRcZ2kTwN3AX+IiJNae0mjazVGHibtsfuApCnAK4GP1c2fTjq7W2k5QsrHAdI9jo9ycXhUV0RonPmrgDc0uaxzSLtStOs5ZPudRMQ9kp4CvtDB8jbTaoxcA5wj6TTgKGAl6UJ5NXuRLphXShuGpjCh7d1v8jGoEeIA6Q7HR3k4PCxHExi+oWE9sGKUsW1pNUY+TDpc6HrgSeD4iKg/2vpdwLwurZuNwgFinXCAFJ/DwwpGwGWSakfKTgM+K2lYkETEm9t9glZPevYIcJCkbYAnI2J9w5C3kSKlKU1eCGgr0ualo4Cnk/YOvjAiPjPC8gT8kLRjzdERcWWz61IGgxghDpDOOT6KzeFhJfDlhvtf7fYTtHzSM4CIWDbK9MbT1I6nmQsBnQ8cChxHCpHXA5+WtCgiGk++dhLpYn2VMmgR4gDpjOOj2BwfVjYRMXv8UZ1pK0a6pckLAR0AfDki5mf3PyfpfcA+1J0JVtLLgVOAfdl0jHWpDVKEOEDa5/goLoeHDQJJOwNnRkTb5xpp9aRnvTbShYAWALMkPTc7CcyhpBO2XFsbIGlL4OvAB8a5emFt/FRJW9dupKOACmOQTlLmE5G1xycaKx6fRMwG2Pak85e0LdctI/XGuBDQicDnSVc6XAdsAN4TEQvqxpwP3DjC1zajmcPwQ5ILYZACxFrj6CgWh4ZZdxUmRhjlQkCkGNmfdG7++0lngfu0pIeyE7DMAl4DvKKF5zqbFD4100mxk4tBiBAHSGscH8Xi+DDrrULEyGgXApK0Bek0tEfXXRH4N5L2Jl0O+TpSiLwIeCJtXNnoO5J+FhEzG58vu5Dfxov5NTyub6oeIQ6Q1jhAisHhYdZ/ucZI9tXMXOBoYOYIFwKanN02NExfz6b9Xc5h8zPB3QqcDHy/qyvcJY4QA8dHUTg+zMYm6bvjDNm20+fIe8vImBcCiojlkq4HzpW0ivQ1zSGkc/GfApDtsDpsp9VsS8cfm7nKYT9VOUIcIM1xgOTL4WHdMHkIJq4ef1y9CWvGH1NgI57Oo2H+Vzp5grxjZLwLAUG6MvDZwBWkPXbvB04HPtv71euOqkaIA2R8jo98OT4Gx7Qn0jk4161tPBendarxPCOSnpEmx9JuPUfe5xkZd2eNbMtHSydcaWa5/eAIGUwOkHw4PAZDLTqsvyRtSzox6THAdtm0x4FvAB+OiCc6WX7eW0YqqYoR4gAZmwOk/xwf1efwKAZJ2wP/AzyX9C3F70jXq9kd+BvgtZJeHRGPt/scjpEucoQMDsdH/zk+qsvRUXgfBdYAL4qIh+tnSPoo6QK5HyUdONIWx0gXVC1CHCAjc4D0j8OjmhwdpXUU8L7GEIG0K4WkD5H243SM5KVKIeII2ZwDpD8cH9Xj8KiUZwO/HWP+bcCOY8wfl2OkTVWJEAfIcI6P/nB8VIejYyA8CuzC6GcqfwHQ0ZE1jpEWVSFCHCDDOUB6z/FRDQ6PgXUNcJakwyJi2BlTJE0FPp6NaZtjpEmOkGpxgPSW46P8HB5W52PATcCdki4Gfp9N3wP4f8BU4B2dPIFjZByOkOpwgPSO46PcHB42loh4UNIBwKdJJyGtncsrgP8CPhARD3TyHI6RMZQ5RBwgjo9ecnyUl8PD2pFdXuXPJW0HvDibfFdEPNaN5U8Yf8jgmbR8YmlDZMrywQ6Rycs33ax7pi6LYTcrh2lPrN/sZuUgaY6khZKGJC2RdKWk3RrGXCYpGm4/r5u/vaS5ku6QtFLSHyVdKGmbdtcrIh6PiF9mt66ECHjLyDCThiYyYW15I2RQOTy6y7FRTg6NyjmEdDHZhaTP6rOAeZL2iIgVdeOuYfglU+p3MH1OdjsVuB14Pul8IM8B3tq7VW+dY6TkBjVCHCDd5QApF4dH9UXE4fX3Jc0GlgAzgBvqZq3OruE20jJuA95SN+luSacDX5U0KSLWdXm12+YYKSEHiHXK8VEeDo/KmS4Nu5br6ohY3cTjal+tNH41MlPSEuAJ4Hrg9IhYMs5ylhcpRMAxUiqDGCEOkO5wfJSDw2MgNJ447EzgjLEeoFQv5wELsq0dNT8Cvg3cTzrx2MeBn0iaMVLgSHo68BHgkrbXvkccIyUwaBHiAOmc46P4HB7lNXVZMHFKa/+PrV+zcfxOwFDdrGa2ilwE7AUcWD8xIr5Zd/c2STeRwuQI4Lv1YyVtDfyAtO/Ima2sez84RgrMEWLNcnwUm8PD6gxFRNN/20maC8wCDo6I0U7HDkBEPCTpfjYdeltbxnTSjq5PAkdHxNrWV7u3HCMFNEgR4gBpnwOkmBwe1g3ZVzNzgaOBmdl5PsZ7zNOBnYGH6qZtDVxL2gIzKyKe6s0ad8YxUiCDEiEOkPY4PorH4WE9dDFwLHAkMCSpdlXcZRGxStJWpH1NvkOKj12AT5Iuavc92LhFZB6wJXAcsHUWJwCPRERh/gA7RgpgECLEAdI6x0fxOD6sj07Ifs5vmD4buAxYD7wMeCewLSlIfgocExG1fVJmAPtlv9/VsJwXAPd1cX074hjJiQPERuIAKQ6Hh+UpIjTO/FXAG8YZM59N15EpNMdInzlCrJ7jozgcH2b5cYz0SdUjxAHSPAdI/hweZsXiGOmxKkeIA6Q5jo/8OT7Mis0x0iOOkMHmAMmPw2OwTHl8zbD7E9atGWWkFZljpMuqGiEOkLE5PvLj+BgMjdFh1eIY6aIqhogjZHQOkP5zeFSfo2MwOUa6oGoR4gAZmeOj/xwf1ebwsBrHSAccIdXnAOkvx0c1OTpsPI6RNlQpQhwgm3OA9I/jo3ocHtYOx0iLqhAiDpDNOUB6z+FRLY4O6ybHSJMcIdXi+Og9x0d1ODyGm7psPZMmt/bne91a//8wFsfIOBwh1eEA6S3HRzU4PCwPjpFRlD1CHCCJA6R3HB/l5/CwonCMNHCElJ8DpDccH+Xm8LAic4zUmTwETM17Ldoz6BHiAOk+x0d5OTysbBwjJeYAcYB0k+OjfBwdVhWOkRIa5AhxgHSP46NcHB5WZY6REhnUCHGAdIfjozwcHjZoHCMlMIgR4gDpnOOjPBwfNugcIwU2aBHiAOmcA6T4HB5mm3OMFIwDxFrh+Cg2h4dZcxwjBTFIEeIAaZ/jo7gcHmbtc4zkzBFi43GAFI/Dw6y7JuS9AoNq8vLBCJGpy2LjzZoz7Yn1w26WvymPrxl2M+s1SXMkLZQ0JGmJpCsl7TbG+EskhaSTGqbvKOlySYslrZD0v5Le2vMX0CJvGemzQQkQa56Do1gcG1YQhwAXAwtJn9VnAfMk7RERK+oHSjoK2A9YNMJyLge2AWYBjwLHAt+UtE9E/Lp3q98ax0ifVD1CHCCtcYAUg8PDiioiDq+/L2k2sASYAdxQN/25wEXAG4AfjLCoA4ATIuKX2f1PSDoZeCXgGBkUjhADx0dROD6sAKZLqr+/OiJWN/G4bbKfj9UmSJpA2vJxbkT8tmG5NQuAYyT9AHgC+EvSVdjmt7zmPeQY6ZEqR4gDpDkOkHw5PKxXpjyxhkmTWtvlcsK6jX8eH2yYdSZwxliPVaqM84AFEXFb3azTgHXAhWM8/Bjgm8DSbOxK4OiIuLvZde8Hx0iXVTVCHCDjc3zky/ExeCYtXbn5xPXNbGTI1U7AUN39Zlb4ImAv4MDaBEkzgL8DXhkRY/0F/QlgO+B1pH1GjgK+LemgiLi1tVXvHcdIlzhCBpMDJB8Oj8EyYnSU11BENP2JIWkuaefTgyOifqvKQcAOwB/rvp6ZCHxK0kkRsYukFwEfAPaMiN9mY26RdBDwt8D7O3wtXZNrjEiaA7wZeAmwCrgROC0i7qgbsxVwDqnmng7cB1wYEZ/J5m9P2sz1emBnUvldCXwkIpb143VULUQcIKNzfOTD8TEYKhYdHcm+mpkLHA3MjIh7G4ZcDlzXMO3abPqXsvtbZj83NIxbT8FO7ZH3lpFmDl06HzgUOI4UIq8HPi1pUURcBTwnu50K3A48H/hsNq2nx1I7QgaDA6T/HB/V5uhoysWkw3CPBIYk7ZhNXxYRqyJiKWk/kI0krQUW1/2D/vfAXcAlkk7Nxh8FHAb8Re9fQvNyjZEmD106APhyRMzP7n9O0vuAfYCrsp153lK3mLslnQ58VdKkiFjX+LySppL2Jq6Z3sp6VylCHCAjc4D0l+OjuhwebTsh+zm/Yfps4LJmFhARayW9kfTtwveBrUhxcnxE/LA7q9kdeW8ZabTZoUukw5JmSbqUdEKXmcCupB13xlrO8pFCJDMH+FirK+cIqTYHSH84PKrJ0dFdETHicbrjPGaXEabdyfB/sBdSYWJkjEOXTgQ+Tzocah3pu6/3RMSCUZbzdOAjwCVjPN3Z2XPVTGfzw602qkqEOECGc3z0h+Ojehwe1m2FiRFGOHQpcyKwP2lv4vuBg0n7jDwUEcN23pG0NekMdLeTdmodUXaCmdV1jxt1paoQIo6QTRwgvef4qA5Hh/VLIWJktEOXJG0BfJJ0gpbaaW5/I2lv0g6r19WNnQ5cAzyZjV/byTo5QqrDAdJbjo9qcHhYnvI+tHe8Q5cmZ7cxD0vKtohcS9raMSsinmp3ncoeIQ6QxAHSO46P8nN4WNHkvWVkvEOXlku6HjhX0irS1zSHAO8EToGNW0TmkY6nPg7YOosTgEcioulPpclDwJQuvKocOEIcIL3i+Cg3h4eVQd4x0syhS28n7XB6BbA9KUhOJ51LBNJhwPtlv9/VsJwXkM5NUlmDHiEOkO5zfJSXw8PKKu/zjIx76FJELCbFyWjz5wMtHwJVZg4QB0g3OT7KyeFhVZL3lhFrwSBHiAOkexwf5ePwsKpzjJTAoEaIA6Q7HB/l4vCwQeQYKbBBjBAHSOccH+Xh8DBLHCMF4wCxVjk+ysHhUR2THlvFpImNZ5wYx/rV448ZYI6Rghi0CHGAdMYBUmwOD7PWOEZyNkgR4gBpn+OjuBweZp1zjORkUCLEAdIex0dxOT7Mus8x0meOEBuNA6R4HB5m/eEY6ZNBiBAHSGscH8Xi8DDLj2Okx6oeIQ6Q1jhAisPxYVYcjpEecYQYOD6KwuFhVmyOkS6rcoQ4QJrjAMmf42Nw6bEn8l4Fa4NjpEuqGiEOkPE5PvLl8BhMWvp43qtgXeQY6ZAjZDA5QPLj+Bgsjo7B4BjpQNVCxAEyOsdHPhweg8PRMdgm5L0CZTR1WVQqRKY9sd4hMoIpj6/ZeLP+mLR05bCbVY+WPj7izYaTNEfSQklDkpZIulLSbmOMv0RSSDpplPmS9KNszFG9Wu92ectIC6oWILY5h0d/OTiqzZHRkUOAi4GFpM/qs4B5kvaIiBX1A7O42A9YNMbyTgIK+yHmGGmCI6S6HB/94/CoLkdH90XE4fX3Jc0GlgAzgBvqpj8XuAh4A/CDkZYl6eXAKcC+wEM9WuWOOEbGUJUIcYAM5wDpD8dHNTk8OjZdUv391RGxuonHbZP9fKw2QdIE4HLg3Ij4bcNya2O2BL4OfCAiFo80pggcIyNwhFSPA6T3HB/V4ujomQcb7p8JnDHWA5QK4jxgQUTcVjfrNGAdcOEYDz8fuDEirmp9VfvHMdKgCiHiCEkcIL3l+KgOh0dr9NgTaMKU1h6zYePfRzsBQ3WzmtkqchGwF3DgxuVJM4C/A14ZESN+cEmaBbwGeEVLK5sDx0idqcsCWvvzVRgOkMQB0juOj2pweORuKCKWNztY0lxgFnBwRNRvVTkI2AH4Y91XLxOBT0k6KSJ2IYXIi4AnGr6e+Y6kn0XEzLZfRZc5RkrOEeIA6RXHR/k5PMor+2pmLnA0MDMi7m0YcjlwXcO0a7PpX8runwN8oWHMrcDJwPe7usIdcoyU1KBHiAOk+xwf5ebwqJyLgWOBI4EhSTtm05dFxKqIWAosrX+ApLXA4oi4AyAiFgOLG8YA/HGEuMmVY6REHCAOkG5yfJSXw2MgnJD9nN8wfTZwWV/XpA8cIyUwyBHiAOkex0f5ODoGV0S0fAxutp9I15fbD46RAhvUCHGAdIfjo3wcHzaoHCMFNIgR4gDpnOOjXBweZps4Rgpk0CLEAdI5B0g5ODzMxuYYyZkDxFrh+Cg+h4dZ6xwjORmkCHGAtM/xUWwOD7PucIz02aBEiAOkPY6P4nJ4mPWOY6RPHCE2GgdIMTk+zPrHMdJjgxAhDpDWOD6Kx+Fhli/HSI9UPUIcIK1xgBSHw8OseBwjXeYIMXB8FInjw6z4HCNdUuUIcYA0xwGSP4eHrXvk0f48hya39phY26O1qQbHSIeqGiEOkPE5PvLn+Bhc65Y8kvcqWBc5RjpQxRBxhIzNAZIfh8dgcnQMBsdIG6oWIQ6Q0Tk+8uP4GCyOjsHmGGmBI2QwOEDy4fgYDI4OG4ljpAlVihAHyMgcIP3l8BgMDg9rlmNkDI6QanOA9I/jo9ocHdYpx8gIqhIhDpDhHB/94/ioJkeH9YpjpEEVQsQRsokDpD8cH9Xj8LB+cozUmbpsPUxu7UQ2ReIISRwgveXwqB6Hh+XNMVJyDpDEAdI7jo9qcXhYETlGSsoR4gDpFcdHNTg6rEwcIyUz6BHiAOk+x0f5OTys7Cbk+eSS5khaKGlI0hJJV0rarWHMVpIukvSgpFWSfifphIYxUyXNlfSopBWSrpa0U39fTe9MeXzNxtsgmrR05cabdU5LHx92s3JZt+SRzW5WPc18PjaMv0RSSDqpYXopPh/z3jJyCHAxsDBbl7OAeZL2iIgV2ZjzgUOB44D7gNcDn5a0KCKuysZcALwJeDuwFPgU8J+SZkREaQ+PGdT4AG8B6SYHR3k5NAZaM5+PAEg6CtgPWDTCci6gBJ+PucZIRBxef1/SbGAJMAO4IZt8APDliJif3f+cpPcB+wBXSdoGeDfwjoi4LlvOccADwOuAa3v9OrptUCPEAdI9DpDycXhYvSY/H5H0XOAi4A3ADxoeU5rPx7y3jDTaJvv5WN20BcAsSZeSqm8msCvwd9n8GcBkYF7tARGxSNJtwKsZ4c2WNBWYWjdpOsC6tU915UW0a8oTKULW5boW/TXpsVUbfx+k191teuyJvFfBWrDukUfzXoXKWsfa/jxHtPGYZLqk+lmrI2J1E4vY7PNR0gTgcuDciPhtw3Khjc/HvBQmRpTexfOABRFxW92sE4HPAw+SPq82AO+JiAXZ/B2BNRHR+E/Bh7N5I5kDfKxx4sLrPtn+CzAzsyLZHlje5WWuARYv4IejfbaM50nSZ1m9M4EzxnrQGJ+Pp5E+Fy8c5aHtfD7mojAxQtrMtBdwYMP0E4H9gVnA/cDBpH1GHqptdhqFGL1dzyb9h623PcO3yJTJdNIf8J2AoZzXpaz8HnbO72Hn/B52rvYedv3v84h4StILgCldXGwzW0U2+3yUNIP0DcErI6LF7TRjfj7mohAxImkuKTYOjogH66ZvAXwSODoiat+F/UbS3sCpwHXAYmCKpO0a6m8H4MaRni/bJNb4B6DbBd03dZvmhiKitK8jT34PO+f3sHN+Dzs3wlcVXRURTwF9+05/tM9H4CDS59wf617zROBTkk6KiF1o4/MxL3kf2itJFwFvBl4TEfc2DJmc3TY0TF/PpnX/FbAWOKxuuc8G9qRgb7aZmVkzmvh8vJy0tWTvutsi4FzSzqxQos/HvLeMXAwcCxwJDEmqfYe1LCJWRcRySdcD50paRfqa5hDgncApABGxTNIXSTW4lLRp7t+AW0lbTszMzMpmvM/HpaRDdTeStBZYHBF3QLk+H/OOkdrJy+Y3TJ8NXJb9/nbSPh5XkPbruB84Hfhs3fiTSTvxfAvYAvgx8DdFOoa6x1aTdoJq5rtHG5nfw875Peyc38POVeU9bObzsRml+HxU6/u9mJmZmXVPrvuMmJmZmTlGzMzMLFeOETMzM8uVY8TMzMxy5Rgpiexy0iHpgrppknSGpEWSVkmaL+mlDY8rxeWje0XScyV9VdJSSSsl3ZydubA23+/hGCRNkvQJSfdm7889kj6aXROjNsbvYR1JB0v6fvZ+RHZF1fr5XXm/JG0n6XJJy7Lb5ZK27f0r7L2x3kNJkyX9i6Rbs/dmkaSvSHpOwzIG+j0sG8dICUjaF/i/wG8aZn2IdL6VDwD7ks6291+SpteNuQA4mnSI9IHAVqTLR0/s8WrnTtJ2wH+TTvrz58AewN8DT9QN83s4ttOA95Pen91J79c/AB+sG+P3cLinAbeQ3o+RdOv9+hrpRFeHZ7e9SSfCqoKx3sMtgVcCH89+vpl08dSrG8ZdwGC/h+USEb4V+Eb6H+gPpMs9zwcuyKYLeAg4rW7sVNIH7fuy+9uQLux0TN2Y55DOYPuGvF9bH967c4CfjTHf7+H47+F/Al9smPYd4HK/h029fwEc1e0/c6QwDGC/ujH7Z9N2y/t19/I9HGXMvtm45/k9LOfNW0aK72LgB7H5RQFfQLrqYv2loVcD15MuDQ2jXD4auK1uTJXNAm6S9G1JSyT9WtJ76+b7PRzfAuC1knYFkPRy0r8yf5jN93vYmm69XweQzsT5i7oxPweWMXjvKaT4CDZt9fR7WDJ5n4HVxiDp7aTNkPuOMLt2auCHG6Y/DDy/bkwpLh/dIy8kncXwPNIFF18FXChpdUR8Bb+HzfgX0l/0v5e0nnQhrtMj4uvZfL+HrenW+7UjsGSE5S9hwN5TSdNIW0G/FpsuLuj3sGQcIwUlaWfg34HXR7pK5GgaT6HbzKWhC3f56B6ZANwUEf+U3f91tqPgCcBX6sb5PRzdMcBxpGtk/Jb0nfoFkhZFxJfrxvk9bE033q+Rxg/UeyppMvAN0v/r/6+Zh+D3sJD8NU1xzSBd5vlXktZJWke6SOCJ2e+1f1k1FvwOdfM2Xj56jDFV9hBwe8O03wHPy35fnP30ezi6c4FzIuIbEXFrRFwOnA/Myeb7PWxNt96vxcCzRlj+MxmQ9zQLkW+Rvvo6rG6rCPg9LB3HSHH9GHgZwy8PfRPpgoF7A/eQ/meqvzT0FFKw1C4NXZrLR/fIfwO7NUzblXSxRYB78Xs4ni2BDQ3T1rPp7w6/h63p1vv1P8A2kl5VN2Y/0ldqlX9P60LkxcDrIl3Btp7fw7LJew9a35q/UXc0TXb/NNIOW0eT/if7GrAImF435jPAA8BrgVeQIudmYGLer6cP79e+pL+Q/gn4M9JXDSuAv/Z72PR7eBnwIHAEsEv2Pj0C/Ivfw1Hfs63Y9A+IIF01dW82HenRlfcL+BHp8Nf9s9tvgO/n/fp7/R6Sdi+4Knt/Xk7aylS7TfF7WM5b7ivgWwv/sTaPEQFnkL6OeIq0R/6eDY+ZBswFlgIrge8DO+f9Wvr4nv0FcGv2/vwOeG/DfL+HY79/00nna7gfWAXcDXyi4S99v4fDX+vM7AO08XZZN98vYHvgq8Dy7PZVYNu8X3+v30NSFI80L4CZfg/LeVP2H8TMzMwsF95nxMzMzHLlGDEzM7NcOUbMzMwsV44RMzMzy5VjxMzMzHLlGDEzM7NcOUbMzMwsV44RMzMzy5VjxMzMzHLlGDEzM7NcOUbMKkbS0yUtkbRL3uvSDEn/IemUvNfDzPLjGDHrEUkzJH1D0iJJT0m6W9KlknatG7N3NmaxpDXZmDOyS6S3aw7pyqP3dfwi+uOfgdMlbZ33iphZPhwjZj0g6T3AL4BlwJuB3YD3kq4S+u5szGzgl8DDpKsL7w58HDiRdHXSdp53i2z5X+joBfRRRPwGuA/465xXxcxy4qv2mnWZpANJl4X/QER8ZoT52wN7AT8G3hURX26YX4uJ3SPi9y0+95uBSyLimQ3T5wO3ZXePA9YDnwE+EhEx3vy6ZdyazTseWAN8BLgCuAh4K7Ake90/yh7zPuCjpEu3b6hbn6uBxyPi+Oz+x4DXRsTBrbxeM6sGbxkx677zgOtHChGAiHgM+HfgR40hkvlp9vPlbTz3wcBNo8w7HlgH7Efa+nIy8J4W5tfGPAq8CphLCpZvAzcCrwSuBS6XtGU2/tvAM4BDawuQtB3wBlLE1PwSeJWkqc2/VDOrCseIWRdJ2h3YF7h4jDGvIG0ZGW3MFtnPNZJ2ljRf0u2SfiPpbeOswi7AolHmPQCcHBF3RMQVpJg4uYX5ALdExCci4k7gbGAV8GhEfD6b9s/A07PXVwuva4Bj65bxNuAx0pahmj8BU4Edx3l9ZlZBjhGz7npl9vNXY4x5Rfbz5nGWcTNpS8VJEbEH8DrgfElPG2PZWwBPjTLv5zH8e9n/AV4saWKT8wF+U/slItYDS0lf3dQ8nP3coW7aFcBb6rZ6/DXwjezxNauyn1tiZgPHMWLWXbUP0yfHGFM7Uma0aPhb4GcRcW9EPBQRNwNExBLSFoXtx1j2o8B2za9uy9Y23I/6aXUxU/93y/ez+0dI2hk4CPhqw3Jqr+mR7q2qmZWFY8Ssu2o7gR400szsaJdfZ3cPGWH+3wN7A383wrx9gAkR8cAYz/9rYI9R5u0/wv0767ZQjDe/LRGxCvguaYvIXwF/iIjGLUd7Ag9GxKOdPJeZldOkvFfArEoi4n8kzQM+LWkr0lcdE0j7kbwfOCEifinpGuDi7HwiNwHPIu0sehxwTET8un65kp4OfIXNdyhtdC1wtqTtIuLxhnk7SzoPuIT0VdAHgb9vYX4nriBtIXkpm28VgRRv87r0XGZWMo4Rs+6bRdrx80PAC4HVwF2kD+PbszFvAc4EPkXaafNR4CfA3o2H82b7WnwPODsibhzriSPiVkk3AX9Jiop6XyHtU/JL0uG5c4HPtTC/Ez8hfcW0G/C1+hmSpgFHk46wMbMB5POMmBWYJJE+vO+IiDOafMwbgX8D9qyd2yM7R8jNEXHSKI8Zc34vSfpb4MiIeH2/n9vMisH7jJgV2/8BjgGOknRzdnvZWA+IiB+Stoo8tx8r2AVrSV8JmdmA8tc0ZgUWEQto4x8NEfHvPVidnoiIbn0VZGYl5a9pzMzMLFf+msbMzMxy5RgxMzOzXDlGzMzMLFeOETMzM8uVY8TMzMxy5RgxMzOzXDlGzMzMLFeOETMzM8uVY8TMzMxy5RgxMzOzXP1/wX12uor82YcAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "da = xr.DataArray(OLRS, dims=['temp', 'co2'], \n", " coords={'temp':temparray, \n", " 'co2':co2array},\n", " )\n", "\n", "fig, ax = plt.subplots(dpi=100)\n", "\n", "p = da.plot.contourf(ax=ax, \n", " cmap='viridis', \n", " levels=20,\n", " add_colorbar=False)\n", "\n", "fig.colorbar(p, label=\"OLR (W m$^{-2}$)\")\n", "\n", "ax.set_xlabel(\"$CO_{2}$ (ppmv)\")\n", "ax.set_ylabel(\"SST (K)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Okay then! As expected we can see that, all else being equal, increasing CO$_{2}$ decreases the OLR, whereas increasing the SST increases the OLR in the model.\n", "\n", "So then, what do these changes look like in `wavenumber` space? We can investigate this using the new `return_spectral_olr` argument to `RRTMG_LW`!\n", "\n", "First though, let's check the model reproduces the Planck curve!" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# To do this, we'll run the model with the idealized temperature profile\n", "# but not include the effects of water vapour (i.e., set RH=0 and qStrat=0)\n", "\n", "# We've already set all other absorbing species to 0.\n", "\n", "rad1 = calc_olr(SST=300, CO2ppmv=0., RH=0., return_spectral_olr=True, qStrat=0.)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[454.81611717]\n", "[454.87164075]\n" ] } ], "source": [ "# check that the different OLRs match up...\n", "\n", "print(rad1.OLR_spectral.to_xarray().sum('wavenumber').values)\n", "\n", "print(rad1.OLR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, lets check to see if we get the familiar Planck curve" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "wavenumbers = np.linspace(0.1, 3000) # don't start from zero to avoid divide by zero warnings\n", "\n", "# Centers and Widths of the spectral bands, cm-1\n", "spectral_centers = rad1.OLR_spectral.domain.axes['wavenumber'].points\n", "spectral_widths = rad1.OLR_spectral.domain.axes['wavenumber'].delta\n", "\n", "def planck_curve(wavenumber, T):\n", " '''Return the Planck curve in units of W/m2/cm-1\n", " Inputs: wavenumber in cm-1\n", " temperature T in units of K'''\n", " \n", " # 100pi factor converts from steradians/m to 1/cm\n", " return (climlab.utils.thermo.Planck_wavenumber(wavenumber, T)*100*np.pi) \n", "\n", "def make_planck_curve(ax, T, color='orange'):\n", " '''Plot the Planck curve (W/m2/cm-1) on the given ax object'''\n", " ax.plot(wavenumbers, planck_curve(wavenumbers, T),\n", " lw=2, color=color, label=\"Planck curve, {}K\".format(T))\n", " \n", "def make_planck_feedback(ax, T, color='orange'):\n", " '''Plot the Planck spectral feedback parameter (mW/m2/cm-1/K) on the given ax object'''\n", " ax.plot(wavenumbers, (planck_curve(wavenumbers, T+1)-planck_curve(wavenumbers, T))*1000,\n", " lw=2, color=color, label=\"Planck feedback, {}K\".format(T))\n", " \n", "def make_rrtmg_spectrum(ax, OLR_spectral, color='blue', alpha=0.5, label='RRTMG - 300K'):\n", " # Need to normalize RRTMG spectral outputs by width of each wavenumber band\n", " ax.bar(spectral_centers, np.squeeze(OLR_spectral)/spectral_widths, \n", " width=spectral_widths, color=color, edgecolor='black', alpha=alpha, label=label)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\"\"\" Plot ! \"\"\"\n", "fig, ax = plt.subplots(dpi=100)\n", "\n", "make_planck_curve(ax, 300, color='orange')\n", "make_rrtmg_spectrum(ax, rad1.OLR_spectral, label='RRTMG - 300K')\n", "ax.legend(frameon=False)\n", "\n", "ax.set_xlabel(\"Wavenumber (cm$^{-1}$)\")\n", "ax.set_ylabel(\"TOA flux (W/m$^{2}$/cm$^{-1}$)\")\n", "ax.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Now, what happens when we include $CO_{2}$?" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# Same calculation as above but with some well-mixed CO2 in the column\n", "\n", "rad2 = calc_olr(SST=300, CO2ppmv=10, RH=0., qStrat=0., return_spectral_olr=True, )\n", "rad3 = calc_olr(SST=300, CO2ppmv=280, RH=0., qStrat=0., return_spectral_olr=True, )" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(dpi=100)\n", "\n", "make_planck_curve(ax, 300, color='orange')\n", "make_rrtmg_spectrum(ax, rad1.OLR_spectral, label='RRTMG - 300K, 0ppmv CO2', color='blue')\n", "make_rrtmg_spectrum(ax, rad2.OLR_spectral, label='RRTMG - 300K, 10ppmv CO2', color='orange')\n", "make_rrtmg_spectrum(ax, rad3.OLR_spectral, label='RRTMG - 300K, 280ppmv CO2', color='green')\n", "\n", "ax.legend(frameon=False)\n", "\n", "ax.set_xlabel(\"Wavenumber (cm$^{-1}$)\")\n", "ax.set_ylabel(\"TOA flux (W/m$^{2}$/cm$^{-1}$)\")\n", "ax.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we saw before, including $CO_{2}$ in the radiative transfer calculation reduces the total OLR (i.e., the spectral integral over what we've plotted). This happens predominantly due to absorption at the center of the $15 \\mu\\mathrm{m}$ $CO_{2}$ band (around $667.5 \\mathrm{cm}^{-1}$). \n", "\n", "Note that increasing the $CO_{2}$ concentration causes a greater reduction at the center of the band, with increasing absorption at the edges (commonly referred to as the 'wings') of the band." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What about water vapour?\n", "\n", "Now, we'll redo the calculation, but include the specific humidity of water vapour in the call to `RRTMG_LW`." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# Our calc_olr() function handles water vapor by setting the RH parameter\n", "\n", "rad4 = calc_olr(SST=300, CO2ppmv=0., RH=0.8, return_spectral_olr=True, )" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(dpi=100, figsize=(7,4))\n", "\n", "make_planck_curve(ax, 300, color='orange')\n", "make_rrtmg_spectrum(ax, rad1.OLR_spectral, label=\"RRTMG - 300K, 0ppmv CO2\", color='blue')\n", "make_rrtmg_spectrum(ax, rad4.OLR_spectral, label=\"RRTMG - 300K, water vapour, 0ppmv CO2\", color='orange')\n", "\n", "ax.legend(frameon=False, loc='upper right')\n", "\n", "ax.set_xlabel(\"Wavenumber (cm$^{-1}$)\")\n", "ax.set_ylabel(\"TOA flux (W/m$^{2}$/cm$^{-1}$)\")\n", "ax.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Water vapour clearly also influences the OLR spectrum quite a bit! Two interesting things to note:\n", "\n", "Firstly, water vapour is a strong absorber at a much wider range of wavelengths than $CO_{2}$!\n", "\n", "Secondly, there is a region around 800-1500 $\\mathrm{cm}^{-1}$, where water vapour doesn't cause much absorption at all! This is the well-known water vapour *window*, and it is a region where warming can efficiently escape to space from the surface. The behaviour of these *window* region is extremely important in understanding the temperature dependence of Earth's OLR, and thus climate sensitivity (see, for example, Koll and Cronin (2018)). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## $\\textit{\"Last call for orders! The water vapour window is closing!\"}$\n", "\n", "Clausius-Clapeyron tells us that the saturation water vapor pressure of water (i.e., the water-holding capacity of the atmosphere) increases by about 6-7% for every 1°C rise in temperature. One important consequence of this is that the optical depth of water vapour increases with temperature, which causes these spectral 'window' regions to eventually become optically thick. When this happens, the OLR in these regions becomes fixed and can't increase with warming. Can we see this in our model?\n", "\n", "To do this, we'll run the model again at 280K, 300K and 320K, with a varying water vapour profile. We should see that the OLR in this window region eventually saturates to a constant value." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "SSTcolors = {320: 'green',\n", " 300: 'orange',\n", " 280: 'blue',\n", " } \n", "\n", "rad = {}\n", "for SST in SSTcolors:\n", " rad[SST] = calc_olr(SST=SST, CO2ppmv=0., RH=0.8, return_spectral_olr=True, )" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\"\"\" Plot ! \"\"\"\n", "fig, ax = plt.subplots(dpi=100, figsize=(7,4))\n", "\n", "for SST in SSTcolors:\n", " make_planck_curve(ax, SST, color=SSTcolors[SST])\n", " make_rrtmg_spectrum(ax, rad[SST].OLR_spectral,\n", " label=\"RRTMG - {}K, water vapour, no CO2\".format(SST), \n", " color=SSTcolors[SST])\n", "\n", "ax.set_xlim(0, 4000)\n", "ax.legend(frameon=False, loc='upper right')\n", "\n", "ax.set_xlabel(\"Wavenumber (cm$^{-1}$)\")\n", "ax.set_ylabel(\"TOA flux (W/m$^{2}$/cm$^{-1}$)\")\n", "ax.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Nice!\n", "\n", "We can clearly see from this plot that the OLR in the water vapour windows saturates between 300K and 320K\n", "\n", "To make this more quantitative, lets consider the 'spectral' feedback parameter $\\lambda_{\\nu}$ for each SST, which is defined as the change in OLR per degree of warming, which we calculate as: \n", "\n", "$$\\lambda_{\\nu} = \\frac{\\mathrm{OLR}_{\\nu}(\\mathrm{SST}+1)- \\mathrm{OLR}_{\\nu}(\\mathrm{SST})}{1\\mathrm{K}}$$\n", "\n", "Hence, because OLR eventually becomes decoupled from the SST at high enough temperatures, we should expect the feedback parameter to rapidly decline (eventually to zero) in these window regions." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "feedback = {}\n", "for SST in SSTcolors: \n", " # Calculate perturbation (+1K) state diagnostics\n", " rad_p1 = calc_olr(SST=SST+1, CO2ppmv=0., RH=0.8, return_spectral_olr=True, )\n", " # Calculate spectral feedback parameter\n", " feedback[SST] = (rad_p1.OLR_spectral-rad[SST].OLR_spectral)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## At low temperatures, the feedback parameter in the window region is close the the Planck feedback, indicating efficient emission to space from these wavenumbers." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\"\"\" Plot ! \"\"\"\n", "fig, ax = plt.subplots(dpi=100, figsize=(7,4))\n", "\n", "SST=280\n", "make_planck_feedback(ax, SST, color=SSTcolors[SST])\n", "make_rrtmg_spectrum(ax, feedback[SST]*1000,\n", " label=\"RRTMG - {}K, water vapour, no CO2\".format(SST), \n", " color=SSTcolors[SST])\n", "\n", "ax.set_xlim(0, 4000)\n", "\n", "ax.set_ylim(-0.5, 6)\n", "ax.legend(frameon=False, loc='upper right')\n", "\n", "ax.set_xlabel(\"Wavenumber (cm$^{-1}$)\")\n", "ax.set_ylabel(r\"$\\lambda_{\\nu}$ (mW/m$^{2}$/cm$^{-1}/K$)\")\n", "ax.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### At higher temperatures, water vapour becomes optically thick in the window region, causing the OLR to become less sensitive to changes in surface temperature. As such, the feedback parameter reduces rapidly." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\"\"\" Plot ! \"\"\"\n", "fig, ax = plt.subplots(dpi=100, figsize=(7,4))\n", "\n", "SST=300\n", "make_planck_feedback(ax, SST, color=SSTcolors[SST])\n", "make_rrtmg_spectrum(ax, feedback[SST]*1000,\n", " label=\"RRTMG - {}K, water vapour, no CO2\".format(SST), \n", " color=SSTcolors[SST])\n", "\n", "ax.set_xlim(0, 4000)\n", "ax.set_ylim(-0.5, 6)\n", "ax.legend(frameon=False, loc='upper right')\n", "\n", "ax.set_xlabel(\"Wavenumber (cm$^{-1}$)\")\n", "ax.set_ylabel(r\"$\\lambda_{\\nu}$ (mW/m$^{2}$/cm$^{-1}/K$)\")\n", "ax.grid()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\"\"\" Plot ! \"\"\"\n", "fig, ax = plt.subplots(dpi=100, figsize=(7,4))\n", "\n", "SST=320\n", "make_planck_feedback(ax, SST, color=SSTcolors[SST])\n", "make_rrtmg_spectrum(ax, feedback[SST]*1000,\n", " label=\"RRTMG - {}K, water vapour, no CO2\".format(SST), \n", " color=SSTcolors[SST])\n", "\n", "ax.set_xlim(0, 4000)\n", "ax.set_ylim(-1, 6.5)\n", "ax.legend(frameon=False, loc='upper right')\n", "\n", "ax.set_xlabel(\"Wavenumber (cm$^{-1}$)\")\n", "ax.set_ylabel(r\"$\\lambda_{\\nu}$ (mW/m$^{2}$/cm$^{-1}/K$)\")\n", "ax.grid()" ] } ], "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": "3.9.4" } }, "nbformat": 4, "nbformat_minor": 4 }