{ "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 15: Heat transport" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "____________\n", "\n", "\n", "## 1. Spatial patterns of insolation and surface temperature\n", "____________\n", "\n", "Let's take a look at seasonal and spatial pattern of insolation and compare this to the zonal average surface temperatures." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import xarray as xr\n", "from xarray.ufuncs import sin, cos, deg2rad, log, exp\n", "import climlab\n", "from climlab import constants as const" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Calculate daily average insolation as function of latitude and time of year\n", "lat = np.linspace( -90., 90., 500 )\n", "days = np.linspace(0, const.days_per_year, 365 )\n", "Q = climlab.solar.insolation.daily_insolation( lat, days )" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "# daily surface temperature from NCEP reanalysis\n", "ncep_url = \"http://www.esrl.noaa.gov/psd/thredds/dodsC/Datasets/ncep.reanalysis.derived/\"\n", "ncep_temp = xr.open_dataset( ncep_url + \"surface_gauss/skt.sfc.day.1981-2010.ltm.nc\", decode_times=False)\n", "ncep_temp_zon = ncep_temp.skt.mean(dim='lon')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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9Vo0b/5javKWgLuyup95Rw/7wtPrrh1+rNbv2qLLqGlVWXaNq3R61Nq9AXffq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\n497s8o8mqZ/2nSSnqJjXQuoZPc78M5HIpVKGNww1epw9t2Mo02np6l6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NGCsTJcMDwzg2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bz/4RbOnL3FjOndHnAeAOytTQn0cUKlkKOUy3hpcBsCvR1585sdvPpc+wrTRn47G87+iGhmdGtT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\nmU2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uaTBOs6HEYWDQm7GoZialDGdSynAiWpT1TbtYUbeJVQ1beWLXmwA4VBtDE/IY4sqn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\npM/Fuy9kEikamqaaeKGRpAvneeUAu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2Plnlweu7wvEYG+05s+Wrieg4WVvDnhSoL87DJX\nVtbzwpQfCQ8PYOIzo/zKcwIYy+t4+pbZ2K0u3ph7P0ktm3b/RFHkpxlL+eCRz4hOieC15c83pyyd\nBQRBYOjtg0jrnMyL17zB4wNf4N63b/3XaktUGgWXXtOVHz5ZzbIFm7nmjv489MAQ3n73Nz75bDV3\njh/g87hubeIZe2knvl22lX4dU+me0TBalhwezM29O/Lp6i1c260t7eIbPlujW6czc/NG3t24ngEJ\nST6v6cbUTiwr2sfSI3sZleg74tY7tC0Li9aw1bif3mH+65kiVPEAlNuOnLYDUe/IQSYJQiltuoPd\nTDN/RxRFTC4bJpcNUQSTy0ad00KN00JufRlV9npcoodap4U6p5ViazXlttrjxydqw7gsqj2uklou\nad+TIIUWqSAhUKEhWKFtVM74bFBuMZFbZ6TSaqHMYsLmdqGRyfGIIuUWEyuKd/PM/D2UmOsRAakg\nEKLSoJLJWZK/DwFICwpFK1eQGGCgZ1Q84WotAQoVCQFBtA+NQimVcri+FqvLSZhaS7BKA4ioZBdf\nL6G/Oy2v9vFdz2Vy2qmyWnB6PKw4cpCt5cUIgoBaJmNTWSF/FOYet5UKAukhEfSNTqRNcDj5ddW0\nD4uiZ2S8zxq2s0GYKoCn06/E3cbDt/mZfHRwObeun0mSLpx2QfF0Dk6mb3jrkxroNXN2uSgciECl\ndyFQbdtIlO7KJh9X7SjDg5uwUyiyZNccwuK20yvEf7rQvEPbkAoC1yb7XpRkl5fxZ34uj/Xsg17Z\n8AfgcLmZtmgVCSFB3NTLt4ORfbCYL5dsZmS/DPr6kWx1Ot1MnrIQi8XB69PGotf7T12qqzbzzK0f\nYayoZ8zDXUlNb9rOqsPuZPr9H7P0kz/oObILT37+ANrApulwN3NmpLRPZEbWq0y7+T3ef3AOB7fm\n8uDMO/9xM7492wqY89pi+g1vzzV3eKNeV4zoyP4Dpcz9dgMtW0TSr6/viMd91/RmQ3Y+Uz75jW+n\njkOnafhc3zOwO79s28PLv6zkm3vHNpAjlkul3NelO8/88TtrDhfQLyGxwRi9IpKI1xmYl7vNrwOR\nEZiMRqpik3F3ow6ERhqASqqlylHi18YXoihitGYSpOrSvBvWzHEcHhdl1lqqHSbKbLU4PC5EoMRa\njdXtQCZIcIsiNreDKns95bY68szl3uiBDyQIBCk0yAQpAQoNATI1HQ2JtA2Kp01gLAna0OPRg5UV\nK+kZ1rhU85lyrMjX6nLi9Hgos5gwOexsLi9ib3UFNpcLi8tJtc3irR3wg1wiIUGuoUdkPPH6INqH\nRtIxPJogpfcanB43TrcbjbzxKDlAC0NDxcBm/KOTK9HJvXNyalDDmrYKq5lyi4k6h521xflklRXy\nQfbGk9LBQlQaukbEMjyxJYPjU1GfA4dNKki4MakPI2I6sbw0m5VlOfxZlsNPhZsREIjVBNMmMPa4\nitO5Sq27GLkoHAidojVKaQTl5iWn5UAYHWUAp6x/yDLuQS7I6GDw3UjN6XGzIH8nA6PTiNT4zo+e\nsWkDAUolt7Tz7WDM3bCD/MpqZo4bhcKHopLd4WLKnGWEGXR+uwEDfDj7D3J2FzHp2VEkJYX5tbOa\n7Tx3xycUF1Tx4se3U2Mv9Gt7IjUVtUwe/Qa71u7lxmdHc8vka5FcgOoQ/8YiTzxFXu25Rhek5cWf\nnuSL5+fz9UsLOLyvmBcWPI4houm5/C6nG5nc+3zt3VLCdyu3MXBkR665cwAAdpsTmUzCg/cPIS+v\ngldfX0JCfKhPuV+VQs7zd17G+Cnf8vbclUwaf1nDc1YpeeSyPjz7/TIW79jLFR0baoxf1aoN0zet\nZ0bWBp8OhEQQGJPUnjezV1JgqiZB11A0QCaR0tGQxhbjvkZTGQVBIEgeRo2jsrHb1IBq2wbs7hJS\nNI11pWjmv47N7aTEU09W1SFsbidOj4sah5lyex2FliocHhc2t5N6p5UyWy2V9nqf4wgIKCRSXKIH\nmSBBIZERqtQTotQzLLoj0WoDOrmaeruDALmKaG0gepmKRF04SunZXaSJoojZ5cBos3Ko1khmcQFV\nNgt5ddWUmutxeNxYXM4GRcCIoFco6Bgeg0YrRy2TYVCqidZ51YZ2FpSyObeIYI2GcT06Eh8chEoq\nY/3atQzoN8DnucglUr8R+3OJy+OhzGrDaLFSUltHgEpFnKFp9WbHEEWRAmMN1VYrySHBBKrPrC/V\nuSLsaF0IQM8ob2S22mYlv76aRL2BzJICVhw5xIbSwywt2I9cIiE9JIKWQaFIBAk9ouIYHJeKtgnO\n35kQqNAwOr47o+O74xE97KguIKvqEAdNpWyqOshvJTtQSxW0CohmRExngpU62gXFn5f0vP9VLgoH\nQhAkROnGkF/7PvX23eiVTZO9rHN6C68D5I33KNhSvZ+MwCRUUt8/lFUlh6i0mRmT5Ltb9EFjFcty\nD/Jgtx4+ow81ZisfrthAr7QE+rX0nTP50cL15JcYmf74aHR+CpT/XLmHHxduYfTVXRg4wH8zGIfd\nxZT7vuBAThET37+ZDj1TWbny1A5Ewe4jTLxiGsaSap6dO4EB1/U+5THngrO1I/z3cS8Eh0IikXDr\nlLEktY3n9dtm8ED3p5n6y1MktfVdcH8iLqeblx/+ipE396a8qJp1vxzg7qeuos9Q7479nNeW4LQ7\nKSuqpv/w9jw/6Uruvu8znp/8IzPfvwWNjwhDenIUNw/rwueLsxjctQU92zV8fkd2bMM367fzzm9r\nGZyeilpx8gJJKZNxR6euTFn9J1tKiugc1TASdlViW97KXsmP+TuZkOHbge5kaMG6ymxKbVVEqf3v\nVuplQZhcNY3eqxMRRQ+5Ne+ikIYRpmnoJDVz4SOKIha3gwpbLcXWaswuO3VOK0csVeyvK8bhcVHv\nsnHYXIlb9EDW+pOOlyAQoQ5CLZWjkirQy9QkhYYTowkmXBlIiFJHhCoIhUSGIEC4KtCvWh9AZnEB\nT65bilauoEdkPIM7ZzRpF/50cLjdFNRXU2yup8pq4YiphlJzPRtKjpBXU43gBlECSqWMYLkatUOO\nQdTgdLppbdAxPKMloRoN+RU1/LbjAIeNNVzdPp3xPbsQptOe5KjvKCqhqLKeK9u14VCFkWW7D3Jz\ntw4ENhIB/zcpqqnDZHcQHxyIWu6dX0RRpNxk5s/9uQRr1EQHBWBzusgpKWNvWQWtI8NpFRHG8n0H\n+WnnHmqsNp7bvOf4mB1iokgLD8HhchMTFIBBo8Zkd1BhMlNlMoMgIJdKCddpUcllLMnZR77xr3kl\nQu9NQ+4aH4NaISc1LISYwAAEQC6TkmAIIkijRq9UIBEE9pVXUmCswaBRo5LL0MrlJIYYjr93oLwK\nwek6q/fRoFIfrxcZntSK4UmtcHs8ZJYcZl1JAetLClhRmIvT7Wbu/h0opFJ6RMYzJC6V1KAQ2oVG\nnhWHQiJI6BicRMdg7/+L0+NiTfletlXnkVmxnym7FgCglMgZEdOJTsFJdDQkopEpUUsVzVHjM+Si\ncCAA4gLGUVQ/l31Vz9M5ah5CEzpZWtze3SONrGFX3WPUOkzkm0sYmDTMr83C/GyClRr6R/kusJ61\nJQuVTOa39uHDPzdisjv4v2H9fD7oe/LL+OpXb+qSr1xzgMOHq3j9zSWkt4nh7jsH+j1Xj8fDm0/O\nY1vmAR6ddi09B/vvaXEi2//cxQtXv45CJefNlZNp1c13NOZccL4mgwvJoeh/bS+iUiJ4btSrTOgz\niYnzHqHrUN/P1zFkcimDr+rM83d+QmRcCGMe6kqfoW0x19t4+pZZGEL1XHvPIGwWOzMnL2Rii1uY\n9OwonnjyW958eykTnxnp897fMaonq7Ye4uXPlvPtS+PQ/q1oXyIR+L/h/Rk3+zu+XLeNuwY27B9x\nXXpbpm9az0dbNtN5REMHIkoTQK+IJH4qyOHhdN+/k7aB3t9fdm1uow6ESqqh2lHe6L06kWLTfOrs\n22gdOg2ppDn/9mzj8rgpslZjPxoBOFYP4Pa4EQQJbtGN1e3E5XFTZqvB6DBjdtqocVqosNfh8rjR\nylSYXFYcHm/zqlqHGbun4eJLLkhpGRCNWqYgSKFlYEQ6tsNV9O3QDbVMgVwiJVCuIVihO54qceLC\n2epyUmYxIRUkxOkDcbjdzNu/k49zskgIMPBoxz50CIs66Zhqm5UFh3J4s+8wukXG8eLGFczJ2cyD\nHXo1SQik3GJiS3kRa2tL2bk9E+vRaEGN3UaVzUKlzUKl1UyVzdJAnShYqSbQqiLaFIBGocCgUPFE\n/764PSLvrVpPelQ4GVERpIWF0DIiDJlEwjM7lnFFeivGde/E4z/+yvfbdnFv3+4AuD0epBIJy/Yc\nJEClZGTb1lSazLy3aj0b8wu5om0rn/NkU67T6XaTV1XNwYoqjBYrLrcHiUTA4nBi0KhQymSsOZjP\n9qISCmv+au6oVShwuL2pUf4IVCn5YYdXwl0ukTC4VSqhTiuxiclEBeoprKllcc4+Vh7IRS6V8ssu\n0/F7GaBSEqbT4hFFb+SizoTD7aZzXDTjunciKkDP/vJK8qqqsTidbC0sxuZ08d22XX7PRyIIPpWk\n5FIpMomA9ajjoJfLyFNoCdaoKas30SU+lr4pvhXs/i2kEgl9YxLpG5N4/DWPKLKp7Ai/Hz7I74cP\nMmnD7wBoZHKuSkknyeagi9N+PIXq30YukTEoMoNBkRk82kpkf30J9U4rvxRtZVHRFhYc2XjcVimR\nESDXEKEKJEEbRphKj0qqQCdTcdhVRGRtEfHa0GZHwwcXjQMhlwaQFvwkuyv/jxLTD0TrrznlMU6P\nV+lBLvj3mHfX5QPQNtB3zUG9086K4gOMTenoMxRb43Ty8749jM1oR7C6oZTlEWMNczfs4Kou6aRF\nNlz0uFxups5ZRnCghoev6+fzHOx2J5OnLESplPHcxFHI/DSVE0WR2S8vYvXiHdz+xDCGjG5a98nl\nX63mzfEziW0RzdRFTxOR4D816myyZcsWBg707xyda06cbM6HM9GicwrTN7zCpJHTmHjFNB6acQfD\n7xrS6DG9hmRwyyOXsXT+JgKC1RQXVDHx9o/p1KcFD0z+q8N6qw4JOOwuOnZI4PZb+/HxJ6to1zbO\nZ6dqpULGxPGXcudL3zLz+7U8cXNDudUuSbEMapPCx6uyuKZrBsF/k3XVyOXc1LYDM7I2kFdTTVJQ\nwzSlK+Lb8FTWYrKNJbQLadi9OkEbgUaqYk9dAZdG+m5yByAV5Hjwv7g4Eae7mkPVbxGk6kaktunp\nkc00xIqL13b/xKH6MkqsNVjcdtyiB61USaBCi16mQhDgQH0pdU7rqQfEGxkIVHglSQPlGhK0oSgE\nGWa3nVhNMCqpHAGBQLkGg1JLiEJPrCYYrUx1VJ1I06DoeGXRSjqH/DXfl5rr2VRWSKXVQqfwaGJ1\ngTg9bmbvyuLbfTuI0uoZldyGG1t1oNBUyw+Hcvh66HUUmmp5ZPUi/hx950lzhVomY3VRHm/2HYZH\nFBmT1pZnM5fxYIdePhcwW8qK+GT3ZqwuJ3l11eTXVf8lymo8jEyQoJHLCVSoCFapidHqaRcSQYRG\nR1JgMHFHVYhitIHIJBIKjDVEB+pRy+V8uHYTv+89RO/kePqmJHJbj07Hd/AB9pZWoFHIaR3p1ebv\nkRTHvrJKqi1WDBr18XlPEP6aA0N1WoLUKg5VeiP8vmbGab+vZnHOXoI1GoK1aipNFmpt3qLypBAD\nASolmw8XUWO1Nfr9GzRquifEclPXDkTodeQba6i2WFFIpShkUjQKOf1Tk7A5XZTXm1DKZSSFGIgN\nCiSvqpoj1bWkhgaDW2T9+g2M6NzueO+l8T3/+n+0OV1YnE50SgWKv/XjcXs81NnsGDR/pc4MbNFw\nvXCgvBKn2wOA2eGgqKaOWpuNepsdp8dDTGAA6VHh1Nns2Jwuaq02DlRU4fS4aREeSmxQINN++Y33\nV2/w3nNg1rosusbHcFnrNNyiSL3NTpBaRdvoSNpGR5y1AmiJINAjMp4ekfFM7DqQQlMduXVGFuXt\n5buD2Tjcbt789gB9oxPRyRWMTG5N/xjfIhn/FEEQaBng/T/oEpLCc21Hs7O6gEOmMiwuBzVOMzUO\nMxW2OjIr91HntHqjjEeZv/6v3h9Bcg1pAVGopQpi1MGoZQoqbHW4RQ+J2vOz7jmfXDQOBECEdiSF\n9d+QW/MuEdrhSCWN58Ide5RFRAR8P9j76o8gQSBN71thaEXRfhweNyPife/k/1FVjsvj4fYOnX2+\n//7v65FJJDwwuKfP979ZtpUDRyp49cEr0Gt9h4Onz1hOfkEF0166lrAw/xr1P3yymp8+X8uVt/bh\nmjv911GciM1i5/PnviWjTyueX/AEuqBzVyz998nmjTfeOGeffbqceK5//vnnOfvcsNgQ3l79IlOu\ne5t37plNWUEFt029vtGJevT4/qjUCkoLytm7Zi1DRnfh+vv+kmLds60Aq9lOcJg3Mjf2uh7szD7C\nzA9X0Lp1NC18yPy2S41mzCUd+G7Fdob2bEXb1IYL/AmX9ebKd75k9spNPDViQIP3b2rXnllbNvHF\njm0837+hE3JpbEsmbv6VXwv3+nQgJIKENH0sB+sbT8dzic4mN4PLr/0Ql6eeFsGTmnen/iEO0cWy\nkp1Eqw10Dk5GI1MgFSSYXXZqHGbqXTZEj0j/8DbH0w8UEhkyiZQAuRq5RHp851ojVSIVJIQq9We1\niPJATSVPrfsNnVxBsErNL3l7eKvvcPLqvLUDa8bcfZL9rqoyWgeHEasLJFYXSEpgMGuK8k/avZVL\npGhkcuocdgIUSuL0gVhcTqpsluMdiU9EIhHYbSxHLZPT0hDGNakZ9IlO5PDOXQwdOOi0awhSQoNx\ne7wLqEi9jkqTGa1CQXZxKQ9/v5gW4SH0S02iW0IsNUcX9QFHU2+jA/TklJRjPOpASI7+JgwaNQUn\npO8EqlUcrq5t+OFHaR8TeTwdyGixkBAcRKBahShCXpWRAmMNPZPiGdQimRbhoYTptEgQqLfZEUSo\ntliRySS0jAxDKpHgdLlZuyuP9IBQ+vf1RiIrakx8/cdWXlm3nCGdW3DDoJM3P5JCDETp9XyydBNL\nNu1BgRsCdzO6b7sG56uSy1D5aeoqlUhOch78kRZ+8gZh11NnnTZgQttUOvXogdXhwqBV893WbD5e\nv5mpv61sYBukVhGu11FaV0+riDASg4MI1WnpnhhH+5jIkxzFf4IgCMTpA4nTB9I/Jolnugxgzopf\nKQ9Us62imEqrhR8O5ZAREkGnsGgGx6fSLSIOlezsLE+lf0t38oXD48LktLFi3SqCWsdRYq3B5nZQ\nZqslz1SO0W5iQ+UBnB43IUodMkHqt97pf5mLyoEQBIEUw+NsK72Jovq5xAfe3qi9Uur90ds9VtRS\n3wvjXFMxsZpwv/UPvxXuI0Kto2NIw7QLu8vFqqpKBiUlkxDUsNB1f2kli3fsZXy/roQHNJRtLaqo\n5aOF6+nfKYWBnX2nDP25cg9Lft3BDWN70rWr7ygJwOolO/h42mL6Xt6OO58e0eTFkEqj5I0/JxMc\nFYRcce4k8/7Li7VjkZJzFZVQ69RM+elJ3rvvI+a+8iOVxUYenX0PMj9/eADDb+jJiuV/ULirnCtv\n/at3x4YVObzzzPfc/8JVhEUFYbc5vVK/T47gzns+ZcrUn5j1wa0+6yHuHd2HlVsP8spny/nihRsb\nRMJSwkMY1akN8zbuZFyfzkQFnZw6GK7VMSytJQt25/BYzz7oFCf/5gIVanqEJ/B70T6e9NNULkkb\nxW+lmxpNkTC7atFKT90Mzu4qo6juG6J0V6JTnB21m4uJQEHF8ksmne/TOC2CVRre6TecuKOdfsf+\nOpfN5UWsLsrjxlYdsLtdlFtMhKl1qGQyDtZW0coQhtXlRC2TkxQQTH59Nd3cscd7mEglEoKUKm/T\nsOBwFBJvMXKJqc6nA9ExLJo/R9/Z4PVq6T6fzoNHFPGIIrJGdp+lEgluj4cdxaWEaNS0j42iR2Ic\ngiBgtjuYvzUbAW8ev93lOp4KplEovKlBR+c2t8eDRColWKNmfd4RwFt7oZbLkR79/fn6FQ5Lb8mw\n9Jb+b7wPFm3YzWfLspBJpQTr1Vzdpy1toiMAyC2pYuJnS+mcFkv/9imIosiKbQcw1ll4YFQflm3Z\nzxe/b+aWIV1wezwICEgkAqt2HuJAUQWLpo7nqx+WsHl/Ia3jI2iTEHFGfaXOBQEqFQFH9xJv7NqB\nG7q0p7zejEImJVCtosJkZsvhIlYfzMdosdIpLpoNeUfIqzJiNFuZuWYjSpmUQS1SuLxNC8L1Wtwe\nEbfHQ1KIgXC9bwn5pmJQqemiDWZAnwEA2N0u5u7bwaK8vcw/kM0Xe7cRrdUzucdghsSfn1RohURG\nsFJHmETLgKiGDiN4I2oexJOk+2cw/lyd4gXBReVAABhUXTGoenK47hNi9Df+P3tnHR7lmfXh+x23\nzMQ9gRgJIbi7F4pWKBWofrVtt15qu/VtC1vXbUtlWyqUClAoFJfiFixBkhB3t8n4+/0xSWAyE0gg\ndHch93X16sW8OplXnt9zzvmds+Yse8udIalycyHhmliP6+Qai4nSenZpMtttbCs+xVVdejbPxJzJ\n6vQ0au02bunlOTf9g3U70CoU3DHaPZVIFEXe+GYjUonA43M8D5YKC6t46+3fSUwM47ZbR3hcByBl\nfxZvzPuBHgO68vjr17fbNenPSln6b3xYXwh/ZoqTVCbl4U/uwT/Mj69fXEJNWS1//+FRVB4G+qfP\nD/Iyy9i9MZU+w+LYse4oKxZt5/mPb8M3wIuF81dSnFtBbbWRhD5d+PszM3j08e945721PPPUdLf9\nadUK5s0dx7z3fmXxumTmXul+Xd83fggrDh7j0027ef7qCW7Lb+7Vh+UnjrHi5HFuTHJ/sI8LjeOl\n5LVk1VbQ1cu9s2q4JpAGu5kKSw1+SncXFYfooNiUQ3d96ylOTeTUfI6Ina6G+865bieXJn4qDX4q\nDRa7vTl1xaBQUVRfy+GyIn5OP0ppQz1jwqP5a6+hGBQqai1mzHYbapkcg1JFvdWCzeFAKXU69skl\nUnRyJccqSkj0DaSkoY4QrRcWh+McZ+OclMqrrOZESRlbc4vZunojZXX1GK026sxmSmrrKayppVdo\nMD/cccNZ9/Vj8lHyq2qYN34kcomEWwefnqH/avcBfj6YwktTx6OSycirrKZXaDCCACW19QQbnOJf\n3vg36ernQ73FmRKskEo5XlzKkK4d1xdIFEV6RYfy8UOz8Ddo2XQwnR82H2REUjQOh4MjmYX0jwvH\nuzFKn1NSxanCCiYNiKd/t3CKq2r5fe8Jbpk4AIkgND+b6xrMaFTOiQpvjZx4rTc7U7NJ7BLU7nMs\nrKhhR0oWDRYbE/rGEezbem1lRyIIAkFnTEAGeelaFWh1ZjP7cvL5IyObFUeOsTr1pOu+gPigAJQy\nKcFeOoZFd2FCfAz+uvPPPFBKZdyW2J/bEvtTZzWzszCHt5K3c9eGpQwOjuCOxAGMDou6aBGJ80UQ\nBKStZKZcLvx3/SJ/El0aazDGAAAgAElEQVQMd3Ow+HaK61ectRYiXONUvznG4x4FhCiKFJsqGebv\n2Xt+X1kuRpuVsaGexcfio4cJVCgZHukeqzxWUMKG1AzuHz/Eo93bHwdPsf1QJg/dMJogP/cHkd3u\n4NX5KwD4+9PTW617KMgu56W/fEVgqDfPfXRrc98Au81OfY0R/Z/0kDsbl5pw8IQgCBddRAiCwM3P\nX4dPsDfv3beQpya9zD9WPN1q2plEKuGJN2/g7ad/pCC7HGOdiQ9+fYS8UyW8/9wvDJ3Qg8Fju5PQ\npwv3TXuLfiPiuHnucL76ehsDB0QxcYL7fTG6Xywj+0SzcNlOJg6Kd7t2Q330XDsgiZ/3HuWuMYMI\n9XGNBPQNDiHez5/vjx72KCBGhcRAMmwrOuVRQAQonTPFZeZqjwKixJSL0V5LF+3Zu3lb7TUU1P5I\noHYqanlng8TLGVEUUUilJJcWIJdIifX2I0Trxc7CHN4fM51IL29mr/qOaL0P0XofdhXlUtZgxFup\nxi46sNjszc40TRGDsRHR7CvOZ0hwJOtz0vFXa0ho0eegusHEbykn2JWZQ2Z5JfUWKwXVNS41BV6F\n5QR6aVHL5ehVSvpGhDLdW4+/1j2ScSYH8wpZfyKDl6aOR+MhsiziTO1VyGQkhgTyy6FUpvSIJ7O8\nEhERrUJBrcnMgdwCRsdFER8YwJWJ3Zjz1RJkEgmhBq/mAWxHPN8FQSAy0Lv5Geqr16BVKXA4HOxP\nyyOruJJbJvbnw+XbAagxmqg3Wega7HxGhPjqkUkl1BpNeGmc71tRFBFxWk0DKOVS1FI5OSWtO7R9\nsHw7BzPysVjthPh6cTCjwLmtQkZe6emUrU9X7uS60b2pqm+guKKOBosVL7USi81Og9mCRCJh6uDu\nJEQEoNeoEIFao5nDmYXUN1iQSJxBnt4xofSKCkHeyvu9veiUSsbERTMmLpqnJo4itaiE6gYzUomA\nRBBIzitkX44zBfRoYQlrjqfz4uqNDOoSzoT4GPpGhJIY7KzTUMtlKNs56NfJlUyMjGNUWBSLjiXz\nReo+7tm4lAC1lulRCQwL6cLw0C5/Sr+JTs7NZSkgfFRD0cq7kVf7LSG6a1t9gHkrAvBRBJFZl8Iw\n/2luy+ttJqyiDV+F53SHHcVZyAQJgwPcBUJmVSV7CvK4NjjUY3Ti44278VIpuXmEe1GqyWLlzW83\nER3mx/UTPPeN+Oa7HaSk5vO3p2cQHOy5D0BdTQMv3P0loijy4sLb0fs4B5LmBjMvXvsGCAKBEf6M\nvWE4VvPFtYdryeUgGlryZ0Ukpt0zES9fHfPnvstjY59n/ppn8Qn07Gke2sWflxbegVqrRBRF0o7m\nsfLbnUy9aSi9Bkejbex23mtwDAZfHXNvGsaBA1m8+/5aknqEExLifu09Nmcs1z/zb979YQuv3ud+\nX901ZhA/7zvKZ1v28txV412WCYLA7B49eXnrJo6Xlbpt21XnQ4hGz+7SHObGuUc4DHLnNV5jrff4\nfTPrnU4o0brWm80BFNb9jF00Eqm//azrdfK/T25tNcFaXau1BIIgOIumj+xhdHgUeoWSQI2O3v7B\n6BXOwWf/wDBSykt4csBoVmefZEt+JrHeflSaGjAonQPW1IoSjleUck1sD+bG9+X7EweZ9du3eEmV\nDDCE8fr6bRRW1yIRBDLKKsivqnYW13rriQ/0R6dUcJV3dyJ9vIkP8if76BEmTxjv8ZzPRnFtHQvW\nb2VI1wgaLFa2ZWQT4a1naXIqRpuVapOJ8jojN/bpxe7jOURovJA5BIa9+THeSjXDAsN55F/LyS6r\nwqIVKR1US4S/N74oiffyI8Tbix5hgSzZcgiz1Ya5ohZDej4ZBWWUVNUjl0koqqzFX69lRFIUiV2c\nxb5Wu53C8loiA1vva9P0DD18qhCVQo5cJuVIZhG3TByA5QyLU4VMislibW5cqW2MMpitds6c0lDJ\nZTSYnZETUXQKgab6EFF0RmnPJKuoAodDRKOUczKvjLiwAAxaFRabjdmjejOsR1dkUgnzF2/kyzV7\nMWhVhPjq0akVFFTUoJRJUSsVlFXX8Y9v17fp91LIpHjr1DSYrfhrZWSaNUQG+NAzOoRA7/NPN5JL\npfQOc82uGBoVCQxu/P4iaaXl/JZygjXH0prrLNRyGQ1WG3KJhKlJ8UxMiGNkTJd2iQmlVMadSQO5\nNbEf2wqy+TJ1P9+dOMQXqftRSmVMiIjhkb4jPDbA6+TP47IUEIIgEO51EycqXqDWcgS90nOOG0BX\nbXdO1hzwmO9otDsdINRSz8XL+0pz6ekb4tH3eNnxVCSCwDAf9xsgvbic9Snp3DtuMF4q9xSTb1fv\np7Csho+enOUxsnDseAGLvtnOhPE9GD/Oc88Lu83Oqw9+Q2FuOa98eSdhXU+nIX300Jd0SYzg1peu\n57tXfmbnr3tpkNQzYvhw1LqL34TlchQPLWn6G1wsITH6uqFo9GpevOZ1Hhv9HAvWPUdAuOeHsUqj\naD6nXetTSegTSdKAqGbxsHD+StJT8ggIMSCVSnj6qencdfcXvLZgJW+/eRNSqWtKXGiAgVumDmLh\nsp3MGpdLvwTXGfwQby+u6pfI0v0p/GX8EAK8XCMkM7ol8Nq2LSw7cYwhLc5VEAQG+EewpzTb43dR\nSpwzVxYPlp0AWfWpeMv98VEEelwOzt+koHYxBmXfNveU6eR/gxqLmV2FOWzMy6CwvpZT1RXk1lXz\n3eTrGRbiPhHU9F747vghwnR67uwxEIBRYVEsTU9hV1EuY8KiqLdaCNXpkUkkXB3Tg0+O7GHh0T30\nCQjl/t5DEUWRugYzh/ML2XY4u9F6tBoBgQpMZFONWiGji48PDlEkxt+XKxJiuTKxG92DAzw+M4uP\nt+62JwgCdoeDytoGjGYLGqWCgvIa9p3MZXdOLodLisgvqWLJrsPIRIGGUjMNgh1BAjhAsMKB7afv\nMRFneksRDSw/VklEgDfhAd6czCvl1W83nPsPvykdaHJrAh+dmhqjiYWrdiOTSFApZNSbLcilUna+\n98BZ3xHbU7JYt/8k791/FQfS8/l1ZwoDuoWzPSWL7OJKftxyiKGJXZDJpNTUmwjx1SOXSSmvMeLd\n+H5r+hsF+3qRVVwJgESAwvIaIgK8m8+1JW/c45662cSPy/bxyivOrIABfbvwyj+vpKaqgbUbU7Ba\n7XiHaxg5NI6IcF9EUeRYVjGpGUXUmy0YDGp0GiWJXYLw02sRRaeN7d4TuRw+VUB1vQmFTMq2Qyd5\nf9n25mNGh/gyvEcUMaF+aJRy7HaRED89PaOCL/g9KwgC3QL96RbozyNjh5NfVcO+nHxSiorxUTtt\nZJcdTmXZ4WMYVEp6hYUQavBicve4Nr/X5BIpY8OjGRsejdluY29xHutz0vkp/Sirs08yIrQrfQJC\n6O0fTKJvECHa/3zGxOXEZSkgAIJ000irnE9h3c9nFRCRmgSSKzdTbinEX+nq7CKc4dPUEpvDwdHK\nQm6McY8giKLIryeOMyQ8Ah8P4uLLP/ahksuYO8y9NqKkspavftvDuAFxDOge6bbcZLLy2oKV+Pt5\n8eBfW7fsXPjaSpK3p/Hwq9fRa/Dp/hQ2qw2r1Ub3IXGoNEpueWE2m3/YwablW9mzKpnRs9vmRX4+\ndAoHdy6mkBg4qQ/z1/ydv019jUdHP8frG54nuKv7wLnpHCpKajh+MIdH5l+Hl7cGq8XG5wt+o6K0\nlmc/uhWtl9O2MTjIwAN/ncj8f65kyY97uPGGlsN8uHnKAFb8cZS3vtvMVy/McbMTvGPUAH7ed5Rv\ndyTz8CTX+h0/jYbhEV347eQJBnd1Tw/s7RvKipwUShucxatn0iQcPDnziKJIdv0JonRn731Sbd6P\n0ZZFguHus67XyX83tRYzh8oKSSkv5lBZEScry8ioLkcE9AolXfU+9PIP5rbE/sQY3NPhwHlvHCgp\n4N/H9jOlazxfpR6gzFTP7LheXB3bg3/s2chbB7YxLKQLc+L7cCC3gKySSmIEXwwKFaYSG48s+Y20\n0vJmS9IAnYZ+4aFc37cnIQavZotOrUJ+zmekxWqjtLqerOJK9mSWc6x2B8np+VTUGqmqMyGKItX1\nJvQaJTVGs8feAt46NT30PtgaRORSCQqZlF5DuhEV4kdpVZ1zAs7fgEohw0enoaquAW+dmjqTmQCD\nlm7hgcgaJw0cDpGs4goq6xrQa1R4a1XklVVTUWMkKsQXrUrB8jWbSOrVi4gAb4J9vHCIIkq5jJp6\nEztSs0jLL8NksaFTK4gI9PY4899EdnElX63dyxPXj8Vbp0atkNM9MpCl24/iaExJstkdGHRqooJ9\nWbv/JPERgVTWGnE4HM3n3fR37hLkg1wm5WBGPjkVRo4UVvLs3Iku67QFq9VOUmIYfXtFEuDvxdsf\nrmXL1hOMGBJLRJgvdXUmMrJKWbc5lWum98PboOFESiGbNqVSWVXP+DHdufL6oSgVp4dsKmSM6xNL\nbX4tfxwoomdiOH8ZGcuI0SPIK6vmUEYBWw6fYvHmg1htrrbU0SG+qBVybHYHPl5qJIKE0uo6wgO8\nmTSgGyOTolEr25cmFOatJ8xbz8xep5vUPjNpDHuy8vjlUArZFVUk5xXww4EjBKqV9CiuYVh0JJMS\n4lxqNFpDKZUxIrQrI0K78kCfYXyeso91OWlsK8hqvo57+QczN74PV8f2+K/oYH6pc9kKCJnEiwDN\nBIrrVxPn+zckrfR6iNQ43VXyjGluAsJL7swjrbTWuW2XVVeByW4j0du92Op4WSnZ1VXc038gNHph\nN1FaU8fKg8eZPagXPlr32f6Pf96B3SHyQCs9Hz7/cgt5eRW8seAGdDrPkZE1P+5l+dfbueq2EUy6\nbqDLMplcxrAZA9myZAdhcSHE9O7KhLmjOJx8mC0/7WT0bM9e5BdKp3g4OxerRiJpRHf+uf45np78\nj2YRERbr2RTAN1CPl7eaRe+sZcz0Pnz9zlpie4Qx98GJBIQ0zco5z3PihB7s2JnGl19tZfDgaKKj\nXIWJSiHnr9eN5O8fr2LV9lSmj3Stl+ji78P4xFh+2H2Ye8YOdutO/djQ4UglEoqOuDdfivd2Hutk\ndambgCgxO2cTm2ohzqTaWk6traL5nm+NorpfkQhqArWTz7peJ/9d1FnNbCvIZmNuBmlV5aSUFze7\nB0V6edPN24/p0QkMDAxnQFC4m59/a2TVVOIQReqsFmyOGhJ9A/FWqojwMvD6kClsOJnBrsxcRm1e\niNFqBZw++YFeWnw1GtRyGRMTYokL8KNveChJoUEe01o9sftYNhuS0zlVVE5eaTUlVa7vIkHIoXtk\nEF0Cfegd47RV1WtU1BhNeGvV+Bu0aNUK6hss+Ou1DIiPwNCKHfj5IJEIRIe4RjYDWqTVdAvWMyyx\nq9u2eq2KyQMTmDzQbZFHaupNzF+8kd7RoYT66jmRW0K38ADe/svM5nXGzfuYG8c5J+amDOrOq9+t\n5773fsFis/HAVc6Jiup6Ew98sJSvn7wRf72WR68dxcvfrsfcUM8tk4cR4ntuh7aWyOVSunc7/Vzt\n2sWf8oo6vHQqJjfWipWU1fLWB2spKKyiuqaBg4dzePi+CcTFBPHMS7+wY3c6Y0cm4HCIiKKIVCph\nydK95ORVMGNKHzZtPU6p2sS0qWq8dWqSugYzZ3w/rDY7hRW1mCxWBEHgSGYhv+0+hkohQyaVUFnb\ngN3hIMjHi5SsIjYdTEchkzK4eySzR/ehW7g/GqUChVzaXBTfVhRSKSNiujAixhm9M9ts/HrkOD/s\n2E1meSWb0k7xyprNRPn5cPuQfszo2b1N9rF+Kg1P9B/FE/1HUW+1kFpRwoGSfJZmpPLE9t95/9BO\nZsf1ZGpUAtGtiP9OLpzLVkAABGmnUVy/ksqGnfhpPPc9CFRFIBeU5BnT6ePjuo5KqsBPYSDf6J6L\nnVlbDkCM3j0tZO2pdARgQnQsR8v2uCz7Yfdh7A6Hx+hDWm4pv21PYc6k/oQFuOesHzmayy9L9zFz\nRj/69evq8fscS87mg+d/oe/wOO58cqrHdRIGx5F5OIftS512l7F9oug3PYnf528jeeMR+o47e354\ne+gUDm3nYkUj4gfG8s8Nz/PkxJd5bMzzvLHxBcK7ufdRAHjy7Zv4fMFv7N1ynHEz+zLj5uEez9Ph\ncPDwg5M4ciSXBa//xofv3eKWbjdxcDzfrz3AJ7/sYOLgeFQtRMItw/uyPiWdFQePMXuQa5QwKdAp\nzIs9XD9NxdM59ZUMx9XrO9fo7DAd6qETdV5DGgDhZxEQDtFGqXEN/ppxyCR/Xs+TTs6fTXmn+PrY\nAbYXZmOx2zEoVPTwC2RuQh/GhseQ6Bfo0R61rVwT24NrYp1Rq6bOyN/uOcTh/CI2nsxABCJ8DMzo\n1Z3hUZH0DA0m0Evb7iZeDoeIXXTQYLKSkl3MrztTWLPvBDq1kpgQXwYnRBLmbyDAoCUy0IeskylM\nuWKcm/i+VDmaXcTBjHzsDpF9J3Px0qi488rBJHV19qUxW23MHd8Ps9WGUi4jMtCbx64bQ0lVHX56\nDQkRzokHg1bFp49cBzifZT26BrP4b3PZvHkzY0Zc2LvPbncglUpIOVbAyGFxKJVyDh7JYc/+LHLy\nyumREEr3+BC+/2kP8XHBBPg7U3KUChn19WbAKcqaXgH7krOZODaRUcO6IREElq3cTlFxNcFBp8cH\ncpnUpW4kLsyfa1r5HnaHgwNp+Ww+lMH6Ayd54IOlzcs0Sjnj+sRy9Yie9I4Oba4faQ9KmYzr+iYR\nUF3GmDFjSC8tZ0t6JqtTT/Lcbxv4YOsunpwwiqk94ts8NtDKFQwMCmdgUDh3Jw1iY14GnxzZw5vJ\n23gzeRtBGh2jwqK4J2lQZ81EB3NZCwhf9XCkgpYS49pWBYREkBKi7kpBQ4bH5eGaAPIb3AVEkdHZ\nVCRM6z7Q35qdRe+gEPw1ri8tURTZkJrByG5RdPF3nyH96Kdt6NRKbps+2G2Z2Wzl9TdXExRk4O47\nx3g818qyWl55YBH+QQaefmcO0hYDOofDgUQiwT/Ul0FT+rLz132sX7SVnGP52H1tlOaWoVS33pW7\nPXQKh/PnYgiJ2D5RvLHxeeaNf5HHx73AG5te9LieRCLhrqenY7fZm6+fpuum6ZyO7s1kySebCIn0\nY3hiOCt3nOSHJbuZc9Mwt+/xwPWjuPe1JSxZf5BbprhONfbrGka3YH9+2HWY6wb2bPM1E6ByDuzL\nTO6F0vnGUgKVPh77thQYM5AgJVjVegenKtMerI4qgjRXtulcOvnPIIoiu4py+eTIHjbnnyJMq+fm\nhL6Mj4hhUFDEWXsgtJfyeiPrT6TzY/JRjhQUN3/urVZx74jBXNM7kUjf1gt/Pe6zpp7tKVn8ceQU\n2cWVZBVVYmth4yqTSrh32lBuu2IACg89XWoL0i8b8QAwLLErO997sNXlaqWcOya72jPHhfkTF+Y+\nmaA6I1WopKyWysp6du0voqh8Dzv3ZFBUUkNUpB9JieFMntADfz8vRFGkssqIr4/niYUm8fD2h+sI\nDPBixBCny6OXTkWAvxfHThQQFuqDIAgUlVQTGx2IprH+TKNRNEd3hUab2dpaE1KpQFhj9Deqqz8m\nk43aOpOLgGgPUomEgfERDIyP4K9XDWdDchoNJisNFivZJZWs3nOclbuP4afXEOKrZ2yfGK4e3rO5\ndqS9xAb4ERvgxx1D+rM7O49/rt/KY0tXs/Z4OgtmTmp3MztBEBgfEcv4iFgK6mpYm5NGcmkBK04d\n46e0IzzRfzT39hzUOf7oIC5rASERFPipR1Nm3IQoOhAEzy+VUHU0Byo34RAdSFqsE6r2Z2eZexpF\ntcWZz6qXu95YdRYLh4uL+MsAdxEgCAKL77uRKqPJbdnhtAK2H8rk/lkj0HsIMX/9zXby8ip4fcEN\nqD0M8m1WZ9F0XXUDb//4V7y8neKlMLMYva8OrUGLRCLBZrUhk8uIHxiL2ktN5uFsFi9YBkqRUbOG\nkji0fc19PH3HTjqGjhYSUT278PrGF5g3zvnf7PlTWl1XKpNSVV5HXbWR8GjnzF11RT2bfk1m4/L9\nXDFrIPG9I5n/8Lf0TQjl62+2M3JEPJGRrjNA/eLDGdarK1//tpdrxvZCpz5tGiAIAtcP7sXLyzeS\nWlBCj7C2ea/LJVKUUhn1NovbsvyGMsI8RB8AChpOOSOOktZFcplxIxJBia+69b4qnfznaLBZeSd5\nO8tPpVJkrMNfpWFe/1Hc1WNgm1OSzn0MOyuOHOdQfiG7snJJL3XWTUT7+fL0FaPpFxFKXIBfuwc/\neaVVrNiVyqaD6c2Cwd+gJTEyiGE9uqJSyJFKBJRyGd3CA+gZFdLsHvSfwm53ipomo4TaWhN5hZVo\nNQqOnSiiqLiaK8YlEtKKE2BHIIoi+5Kz2ZecRYCfjr69u9A10o+ikmpycivYsTudA4dyKK+sw2q1\nI5dJ8fXV0i0miIrKeowNFvz9vLDbHchkEmKjA8nMLqO8oh5EkeNpRTgcTc/YHCLCfEjqHkpaRgk7\n957ii2+2ER8XTFl5LXV1Zlb//LDHc5RKJXzw6QZq60zcecvIZqERExVITFQgQwdG885H6xjUPwqp\nVIJCLmuONBgbLKhVrjUwDSaLs+t6k8kFAlarA6WyY4Z1aoWcaYNdTSIevXY0mw9lsPtYNjmlVby/\nbDuf/raLgfGR3DSuL4MTIs/rHS8IAkO6RvDjHTfy5a4DvLHhD0RR5N1Z09qczteSUJ3e2V+C/pSb\njDy3cx0L9m9hTc5J7u815D/WpO5S4rIWEAB+mtGUGFdRa0lFr/TczyFY1RWLw0SlpQQ/ZbDLshCV\nH1XWOhpsZtSyMwc/zv+LLQqsDxYVYhdFBoS6d6YGUMplBBncC4oWLtuJr17D7InuqU2nMktY8uMe\nJl3Rk/6tpC79+83VHN2bybw3biAqwZmLufDJbzi8NZWopEgsZgvzvrwfmVyGzWpDKpMSmRBGZEIY\ng6f1Z+O6jUyZeWGzrp3i4eLQkfURUUmR/HO9MxLxzWPLGDp8qMfCaoCDO9KoLKttFhBLv9xKTnoJ\nD/7jWmJ7hAMQ3zuS7gO6kl5QwVvv/M7bb97kdh3cffUwbnvxO5asO8gdM1yF9ZTe8Sz4bQvL96e2\nWUDYHQ4sdhtKifvjraChjJEBnk0TCk1ZxHl5tkVuorxhCz6qIUglF9+NrJO2I4oii44n897BHZSZ\njEyMjOXxyG5Mi4pH1QGe8ceLS1lx5DjZFVVsPJmBXTyMWi6jX0QoVyZ2Y3y3GOKD/Nv8jKs3WVi3\n/6SzQNhq5XhOCcdyShAEGNgtgtG9YpjYvxuxof7nlSrSElEUGwfI5xZRlVX1KBUyqmsaKCqpIaFb\nML+uOsSylcnY7HaCAw2EBBsor6jneFohiJDQLYTQYANbtp+kuqbBZX+LFu9k9jUDuWPu8ObjN82e\ny+RS7A6R3LwK6oxm8gsqqak1sW1nGjqdil6JYQzsH0VkuG9jaqTIkdQ8ysvrGDo4hqrqBl5asILU\n4wVIJQL2xoF+k5sTgEIuZfDAaIYOikEhlzprAoqrOXayCF9vDb4+OkrLapHJJJjNNnbsziAwwIuI\nMGcq5I3XDiI2OpCqymzGjR2Ft+F05kBBYRUr1xwm5Vg+cTFBDOznmjLZhCAIfPHNNuqNFp58eDLK\nxgJli9XWHD2SSiUUldRgs9mJDPMlv7Cyub9Dbl4FQY1RhaYohMGgoaKiHlXjvuqMZqRSCZoOyhLw\nhFalYOrg7kwd7CyUTs8v45dtR9h0KJ373vsFmUSCn0FDr+hQQv30XD08ichAnzbvXyqRcOewAUgl\nAvPXbWXh9r3cM+LcTT3PhZ9Kw/tjZjAy7TAfH97N3RuW8u7o6cyI7n7ujTtplU4B0TiTWNGwrVUB\nEaRyuh0Vm3LcBESwyvmQKTJVEKU7XSTlo2gssDYbCdacLrpKKXWGuHsFtb2T5dGMQnanZPPA7JFu\nzggOh8jb76xBp1Ny7z2eO1Lv2pDCz59vZepNQxk30+kKtXPFPvatPcgbG1/AVG/mq+d+4L7+T/LO\ntpddrFozj+YQlRSJxnBhA6ZO8XBx6UgREd2rCwvWPcsjo55l3vgXeXvrS/iHueeOjpl+Wsx+8foq\njuw5xfMf34a3nw6b1c7JI7lIpBKGjk1EYtDw5turWbP2CJMnuQ7gE6OCGd47iu/X7ueGK/o2d34F\n0KtVjE6I4vcjJ3ly2ug25Y1XmI2InE5lasJoM1FjqydY7f5d6m011Nmqzpq+ZLTm0GDLIUJ/6znP\noZM/j635mTy69TfKTEaGhUTyUZ/hDArumOZ+uZXVvLdlB78eOY5MIkGrkDM6xJ+7J42jd1hIu2ZH\nU7KKWLn7GClZRRzPKcHmcKBWytEo5UQEePPgVSOYPDChwzsUHziUzTsfraewqIqkxDB0WhVKpQyT\n2YqXToXVamfY4FgEAdZuTGHH7gwkEqF51l0qlWC3O+jbKxJ/Px3FJTXs2Z9JUKCeEUPikMulpB4v\nYP/BLAb2i+LKCUlYbQ6iuvhh0Gv4fNEffLtkF/uSs9BqFOQXVFFcWoMgNL4XRBGHuNflnAP8vZBK\nJWzZdqL5s5BgA6IIRcXOhmw6nRKJ4KwHePi+iUyd1JPaWhNbtp+ksrKeoEA9Xbv4Exnui96r7e+v\n6poGvHQqN+G2eXOxi3gACA3x5u7bPBuanElWThnfLN5JcJCBp1/8BVEUufWmYezck4GxwYq3Xk1e\nYSVXjOuBTqtk6KAYFryzmtQTBZhMVjRqBZHhzrFG07tUqXD+hnWNtRFbtp0gwF+NVyvfddfeDFKO\nFdCjeyhDBsZ4XKe9xIb588T1Y3nompGs23+S9IIyThVWcCynmE0H0/l2/QGmDO7OTeP60i084Nw7\nbOS2wf3Yl5PPJ9v3cl3fJHzP0fiwLUgEgRu69eaq6ERuWfsjj2xdSXZNJUNCIhkQGNY5RjkPLnsB\noZD6o5V3o9K0i1lKqOcAACAASURBVK7c63GdQJXzZVRqzgVc1XBQo4AobiEgAtTOwUuJqc5FQGRU\nVhCg0eKtavsD7d8r96DXqrh2XG+3ZWvWHiElNZ95j03BoHffZ3F+JW8+sYS4pDDufua0R3Vw1wCS\nhifg5aPDy0fH41/cx3v3f8bDI57lzc0vovPWsnPFPkpyyohKcreLbSudN+WfR0emNMX2ieKGBdNZ\n8tRvPDHxZd7c/GKrzeZEUcTUYGHeGzfg7afDZLRQkF3GxuXJBIZ4o/fRcuXkXqxZe4RPFm5i+LBu\neHm5puHdPm0wd76ymF+3HuWGK1ytjyf37Ma6o+kkZxcwICr8nOdeYnI60bR0YCo2OR2YmkS/6za5\nwOnJAk9UmnYBzkaUnfznMdlsrMo6wVM7fida78vTA8dwdUyP8055OJPSunre3byDXw6mIJNKuGvY\nAO4cNhBvtYrNmzfTN9yzyYAnLFYb7/zyB4s3H0StlNMtzJ+5E/oxrm8cPboEdegz8kRaEV9+s42U\n4wUo5LBhWxXbdqURFuLN5Ik9Sc8oprLKSEODBalUQnVNA3K5lHWbUgFnwe0tNwxFIhHQapUE+Hux\n/2A2wwbFMHRQzFnP1Waze4xwPPPYVAYPiObTL7dgNlvpkRjK1TF9sVjs2Ox2MjIyGTqkNwa9mshw\nX1RKOf7+XsikEgqLq9mfnEVxSQ3ZueXYHSJ3zB1BYIAXv605jMMhMmf2EGKinINTP18d10x3t05v\nD57eoxdK10h/Vix5EIvFWaNQb7QQFKBHFCG/oJJ6o5l+vbswZWJPpFIJwUEGxo5M4MOFm0AUefzB\nSXg1uire/dDXvP/PG1Eq5dx160je/3QDBr2GujoTIwb6uVi9NmG22Hj+1V8xmZ0uYL4+WhRyKQa9\nmqTEcGpqGxg2KIaxoxLO63pUymVMG+Ka7lRaXcdnq/awYlcKa/ef4LNHZ5PYpW0Tp4Ig8MjY4WxJ\n+4ZX127h9asmd9h9opLJ+XLiLB77YxVvJm+DZJgYGcvbo6aik7v33eqkdS57AQHgoxpMQd1POEQr\nEsE93K2SatDLfSk157stC1Q5w3OlZtf29gEq5+ClZSFncV0doV5tn2HKLa7kj4MZ3D5tsMvMLEB9\nvZnPPt9MYmIYk65wd1WwWe0seOQ7HA6Rp9+di0IpY9XC9UQmhuMX6kPm0Rz2rE5m0JXOmeQHP7yT\nDx/6guUf/s6cv11Ln7E9zrtxXKdw+M/RUUIirHsQL694imeufIVnrnyFNzY+j9bgXiAoCAI5acVs\n+e0QQ8Ynkp1WzJ5Nx/AN8GLOgxOb86Mf/OtE7r3/3/z76z944H7XHiW94kLpHRfK4nXJXDehj0uk\nYUS3rsgkEraeyGyTgChtFBD+qpYWrk7L5ECle0i91Jzn3EbpObUQnAXUCok/Gnn0Oc+hk4vL/uJ8\nHtq6kry6avoEhPDlhFn4tGNS5mysP5HBvGWrsdrszBnYhzuHDmiTT31LTBYb6w+c5IfNB0nJLubG\nsX24b8bwDqtbMFtsLP8tmfRTJWi1SrZuP0lZeR2+PlpGDe/G4SOnOJFWxDXT+/F/N49Ao/E8OLLb\nHRxNzUelkhMR7uuWAjN2ZEKbzuds6VHjR3dn/GjP6SKbN9sZM8Z9cgwgJMjAtMmel/Xtdf4TW/8J\ntBolWo0SH+/Tz1BfH22r32PGlD7MmOKeUvnOa9c3p0ANHRSLRqOksrKe0BBvigpOuK0PIJUIfP7B\nrRgMGtZvSiUtoxib3UF2bjmr1x1pFpE//bqf3kkR3D53uMfC/PYQYNDx9I3juHPKIG5Z8D23/XMx\nVwzoxn0z3J37PBEb4Mc9IwbxwdZd+GrV3Dt8UIdEIsDp3PTxuKtIrypnY24GC/Zv4bpV3/P5+GsI\n1bXfpvdypVNAAAZVP/JqF1FnOY5e6dnezF8ZRpkHAeGr8EIqSJr95ZvXb0yfKG8hIBpsNjTtKK77\nccMhpBIJs8a7P0S//W4HlVVGXv3HdR7zZL99fx3HkrN56p2bCIn0Y+P321j63ipeWDqPkKggZj8+\nk9fmvMu8L+9n2EynA86gKf1IXn8YoFM8/I/TEWlNvUYl8vzPj/PsjAU8O3MBr63+G0q1+0Dkybdv\n4u2nfuTYgWxiEkPpMzSWK2Y5r6mmnN3Y2CCmTunD8l8PMGNaX7p0cS1mvuGKfjz94Up2HMpkZN/T\nIXadSkmvyGB2pTujBHaHA6vDjoCA3cP3axLt/i1SmEpMTpEfqHIv6CwzFyAXFBjkngusAapNBzCo\n+nde3/9hTlVXcPPaJfipNHw67mrGhEd3WIH076kneeSXVfQICeTNq6fQpZ3uSQA5JVV8snInWw5n\nYDRbCfc38NodU5g08MIMKM6kqtrI868u5+CRXAx6NSazlT49I5k1sz9TruiFQa922o6OGXPOfUml\nEnr37JiUr04uPmcKQYlEcBEgrQkImUxKeGNNx9UeIjR2u4OlK5NZuuIA3/24m+KSGp55bEqbambO\nRYBBx6Inb+LLNXtYtiOFQxkF3DW8beLv/lFDyK+q4avdyaSVlPPl3Gsv+HzOJNbbj1hvP+J9A7h/\n03Km/voVC8dfzYCgc09UddIpIAAwKJ0z8NXmg60KCD9FCCnVO90+lwgSfBV6ys3VLp/7Kp1Kudxs\ndPlcLZNRa3Z3h/GE2WJj1fYUxvSPxb9F852i4mp+XrqPKyYmER/v3viryUpz4rUDGD21Dzt+3ctX\nz//AP9c9R1CXACqKKhkyrT+PfHoPb9/9MVWlNXQbEM3WJTuanTXOh87B1X8XHSEiBk7uy1OLHuDV\nm97llRvf4fmfHnezAPbx9+LJt29E0TgzJm8Mo7fsWn77rSPZuDGVTz/bzCsvz3LZx+i+Mfh7a1m6\n+YiLgAAY0DWcz7fu5WRZGfuLCjhZXobFbqe8qAhL+klGRHTBS+l8sZabnPecv9JVQJSZq5Eg4CN3\njwCWmwvxVYa4uaw1YbaVYrLnE6685Zx/r3Mh2gvAvB0cFSANA+UoBEnnrFdbWJOdxkNbViCXSPj+\nyhsI152fXWVLHKLIj8lHeHHVRnqHBfPFnGvRnIcF6qaD6Tz779+RCAKTBsZz5cAE+seFX9BzURRF\nsnMrkMsl1Neb2X8wm8U/76W+3szf501j4tjEc++kk07OglQqYdbM/sya2Z9vl+zi039v5VRWKY8/\nMImkxNajsm3F36Bl3uyxXDmoO/e88xMfbkxj/NjR54zGSQSB+TMnERvgx+sb/mBnZg5Dozo+8jQ6\nLIpl027mzvU/85dNy1k187bmNPROWqdTQABKaTAKiT+1Znc71iZ8FUEY7bWY7PWopK4Xlr/SQLml\nxuUzjUyBSiqjooWA0CuV5Ne6rtsaWw9mUFNvZuYod1Hz1dfbALjDQwGXsc7EG08sJjDMh3v/PgOA\nusp6jDUNKFRy8k4W8M69n2K32ek/sTcTbh7NyX0ZnNybTn1tA88teaxN53cmncLhv5eOEBFjrh9O\ndVktHzzwOe/c+ymPLrzX7TfXNhbvnXmslut4e2u44frBfP7lVo4ezSMp6fRMj0wmZcqwRL79fR8V\nNUZ89afD1QmhAVjkDh5fu5qewcEMj4hEIkhIrq5h6bFUfk5N4ekRo4jx9aPCbEQplaFp4b5TZqnG\nV6FHKnGfVSu3FLl1mj+TWssRgFaNFtqC6KhDrH0VGn4GF3c2Fej+Atq7EYSOmUm/FFmXk8Z9m5bR\nyz+ED8bMIKwDUw3mr9vCV7uTGdQlnH9dP6Nd4sHucLBm3wkWbzrI0awiukcG8uY9My64GHr77nR+\nXLqPvPwKSstdO0z36hHOw/dNbM7976STjmLO7CFEhPvy0WebeOip73n8gUnERAdisdhI6n5hYiKp\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e4NrsKmVfFin7sph9zxi3wmm73c78ue9xcm8GjvPoLt0pHC5Pzud3/8s7txM/MIY37viI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\nHIi64fE43aU7BuyWMOpHNCl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,6))\n", "\n", "ax1 = fig.add_subplot(121)\n", "CS = ax1.contour( days, lat, Q , levels = np.arange(0., 600., 50.) )\n", "ax1.clabel(CS, CS.levels, inline=True, fmt='%r', fontsize=10)\n", "ax1.set_title('Daily average insolation', fontsize=18 )\n", "ax1.contourf ( days, lat, Q, levels=[-100., 0.], colors='k' )\n", "\n", "ax2 = fig.add_subplot(122)\n", "CS = ax2.contour( (ncep_temp.time - ncep_temp.time[0])/const.hours_per_day, ncep_temp.lat, \n", " ncep_temp_zon.T, levels=np.arange(210., 310., 10. ) )\n", "ax2.clabel(CS, CS.levels, inline=True, fmt='%r', fontsize=10)\n", "ax2.set_title('Observed zonal average surface temperature', fontsize=18 )\n", "\n", "for ax in [ax1,ax2]:\n", " ax.set_xlabel('Days since January 1', fontsize=16 )\n", " ax.set_ylabel('Latitude', fontsize=16 )\n", " ax.set_yticks([-90,-60,-30,0,30,60,90])\n", " ax.grid()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "This figure reveals something fairly obvious, but still worth thinking about:\n", "\n", "**Warm temperatures are correlated with high insolation**. It's warm where the sun shines.\n", "\n", "More specifically, we can see a few interesting details here:\n", "\n", "- The seasonal cycle is weakest in the tropics and strongest in the high latitudes.\n", "- The warmest temperatures occur slighly NORTH of the equator\n", "- The highest insolation occurs at the poles at summer solstice." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "The local surface temperature does not correlate perfectly with local insolation for two reasons:\n", "\n", "- the climate system has heat capacity, which buffers some of the seasonal variations\n", "- the climate system moves energy around in space!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A reminder: the climate system is made of fluids, and they move!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take another look at the animation of Sea Level Pressure from the CESM simulation:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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3rVgaDBlBByDvBpW5vDHMLe3iM1wRnTnAUdbHkPbSrXJsrp7G2XpZHXpIo+Sb8HJ5LwPj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\nG853DceXGtAb2HdpS4X6WdDergfZWu0NOquhVgC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"text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo('As85L34fKYQ')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From your reading, what are various mechanisms by which the climate system moves energy from one part of the planet to another?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "____________\n", "\n", "\n", "## 3. Energy budget of an isolated column\n", "____________\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For most of this course we have been thinking about **global averages**.\n", "\n", "We've been working with an enerby budget that looks something like this:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![column sketch](http://www.atmos.albany.edu/facstaff/brose/classes/ENV415_Spring2018/images/column_sketch.pdf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When we start thinking about regional climates, we need to modify our budget to account for the **additional heating or cooling** due to **transport** in and out of the column:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![column sketch 2](http://www.atmos.albany.edu/facstaff/brose/classes/ENV415_Spring2018/images/column_sketch2.pdf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Conceptually, the additional energy source is the difference between what's coming in and what's going out:\n", "\n", "$$ h = \\mathcal{H}_{in} - \\mathcal{H}_{out} $$\n", "\n", "where $h$ is a **dynamic heating rate** in W m$^{-2}$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### The top-of-atmosphere imbalance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the TOA fluxes ASR and OLR as a function of latitude. We can look at both observational values (we'll use the NCEP Reanalysis) and modeled values from the CESM." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Get TOA radiative flux data from NCEP reanalysis\n", "# downwelling SW\n", "dswrf = xr.open_dataset(ncep_url + '/other_gauss/dswrf.ntat.mon.1981-2010.ltm.nc', decode_times=False)\n", "# upwelling SW\n", "uswrf = xr.open_dataset(ncep_url + '/other_gauss/uswrf.ntat.mon.1981-2010.ltm.nc', decode_times=False)\n", "# upwelling LW\n", "ulwrf = xr.open_dataset(ncep_url + '/other_gauss/ulwrf.ntat.mon.1981-2010.ltm.nc', decode_times=False)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "ASR_ncep = dswrf.dswrf - uswrf.uswrf\n", "OLR_ncep = ulwrf.ulwrf" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "ASR_ncep_zon = ASR_ncep.mean(dim=('time','lon'))\n", "OLR_ncep_zon = OLR_ncep.mean(dim=('time','lon'))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# same thing from CESM control simulation\n", "datapath = \"http://ramadda.atmos.albany.edu:8080/repository/opendap/Top/Users/BrianRose/CESM_runs/\"\n", "endstr = \"/entry.das\"\n", "atm_control = xr.open_dataset( datapath + 'som_control/som_control.cam.h0.clim.nc' + endstr, decode_times=False)\n", "atm_2xCO2 = xr.open_dataset( datapath + 'som_2xCO2/som_2xCO2.cam.h0.clim.nc' + endstr, decode_times=False)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "ASR_cesm = atm_control.FSNT\n", "OLR_cesm = atm_control.FLNT" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "ASR_cesm_zon = ASR_cesm.mean(dim=('lon','time'))\n", "OLR_cesm_zon = OLR_cesm.mean(dim=('lon','time'))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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zeIJly+Dvv9VMEWtUERmp2qBTJ9Uo06ZplVgHf/1VgOnT1U9bt24aCuzjo46R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\nr/ekp6dz5swZ2rVrl1e2YcMG0r0ozm3evJnRo0czZ84ctmz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ticks = [-90, -60, -30, 0, 30, 60, 90]\n", "fig, ax = plt.subplots()\n", "ax.plot(ASR_ncep_zon.lat, ASR_ncep_zon, color='b', linestyle='-', label='ASR (NCEP)')\n", "ax.plot(ASR_cesm_zon.lat, ASR_cesm_zon, color='b', linestyle='--', label='ASR (CESM)')\n", "ax.plot(OLR_ncep_zon.lat, OLR_ncep_zon, color='r', linestyle='-', label='OLR (NCEP)')\n", "ax.plot(OLR_cesm_zon.lat, OLR_cesm_zon, color='r', linestyle='--', label='OLR (CESM)')\n", "ax.set_ylabel('W/m2')\n", "ax.set_xlabel('Latitude')\n", "ax.set_xlim(-90,90); ax.set_ylim(50,310)\n", "ax.set_xticks(ticks);\n", "ax.set_title('Annual mean radiation at the top of atmosphere')\n", "ax.legend(); ax.grid();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "We find that **ASR does not balance OLR in most locations**. \n", "\n", "Across the tropics the absorbed solar radiation exceeds the longwave emission to space. The tropics have a **net gain of energy by radiation**.\n", "\n", "The opposite is true in mid- to high latitudes: **the Earth is losing energy by net radiation to space** at these latitudes." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "There are two locations where ASR = OLR, near about 35º in both hemispheres. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The CESM simulation agrees fairly well (not perfectly) with the observations here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The idea of looking at this imbalance is this:\n", "\n", "**If we assume that the climate system is near equilibrium everywhere, then the local radiative imbalance must be compensated by heat transport!**" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "____________\n", "\n", "\n", "## 4. The energy budget for a zonal band\n", "____________\n", "\n", "Let’s now consider a thin band of the climate system stretching from latitude $\\phi$ to $\\phi + \\delta \\phi$, and write down a careful energy budget for it." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Let $\\mathcal{H}(\\phi)$ be the total rate of northward energy transport across the latitude line $\\phi$, measured in Watts (usually PW)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The dynamic heating rate looks like\n", "\n", "$$ h = \\frac{\\text{transport in} - \\text{transport out}}{\\text{area of band}} $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The transport into the band is $\\mathcal{H}(\\phi)$, and the transport out is just $\\mathcal{H}(\\phi + \\delta \\phi)$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "The surface area of the latitude band is\n", "\n", "$$ A = \\text{Circumference} ~\\times ~ \\text{north-south width} $$\n", "\n", "$$ A = 2 \\pi a \\cos \\phi ~ \\times ~ a \\delta \\phi $$\n", "\n", "$$ A = 2 \\pi a^2 \\cos⁡\\phi ~ \\delta\\phi $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So we can write the heating rate as\n", "\n", "\\begin{align*}\n", "h &= \\frac{\\mathcal{H}(\\phi) - \\mathcal{H}(\\phi+\\delta\\phi)}{2 \\pi a^2 \\cos⁡\\phi ~ \\delta\\phi} \\\\\n", " &= -\\frac{1}{2 \\pi a^2 \\cos⁡\\phi} \\left( \\frac{\\mathcal{H}(\\phi+\\delta\\phi) - \\mathcal{H}(\\phi)}{\\delta\\phi} \\right)\n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Writing it this way, we can see that if the width of the band $\\delta \\phi$ becomes very small, then the quantity in parentheses is simply the derivative $d\\mathcal{H}/d\\phi$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "The **dynamical heating rate** in W m$^{-2}$ is thus\n", "\n", "$$ h = - \\frac{1}{2 \\pi a^2 \\cos⁡\\phi } \\frac{\\partial \\mathcal{H}}{\\partial \\phi} $$\n", "\n", "which is the **convergence of energy transport** into this latitude band: the difference between what's coming in and what's going out." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Calculating heat transport from the steady-state energy budget\n", "\n", "If we can **assume that the budget is balanced**, i.e. assume that the system is at equilibrium and there is negligible heat storage, then we can use the budget to infer $\\mathcal{H}$ from a measured (or modeled) TOA radiation imbalance." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "$$ \\frac{\\partial \\mathcal{H}}{\\partial \\phi} = 2 \\pi ~a^2 \\cos⁡\\phi ~ \\left( \\text{ASR} - \\text{OLR} \\right) = 2 \\pi ~a^2 \\cos⁡\\phi ~ R_{TOA} $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now integrate from the South Pole ($\\phi = -\\pi/2$):\n", "\n", "$$ \\int_{-\\pi/2}^{\\phi} \\frac{\\partial \\mathcal{H}}{\\partial \\phi^\\prime} d\\phi^\\prime = 2 \\pi ~a^2 \\int_{-\\pi/2}^{\\phi} \\cos⁡\\phi^\\prime ~ R_{TOA} d\\phi^\\prime $$\n", "\n", "$$ \\mathcal{H}(\\phi) - \\mathcal{H}(-\\pi/2) = 2 \\pi ~a^2 \\int_{-\\pi/2}^{\\phi} \\cos⁡\\phi^\\prime ~ R_{TOA} d\\phi^\\prime $$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Our boundary condition is that the transport must go to zero at the pole. We therefore have a formula for calculating the heat transport at any latitude, by integrating the imbalance from the South Pole:\n", "\n", "$$ \\mathcal{H}(\\phi) = 2 \\pi ~a^2 \\int_{-\\pi/2}^{\\phi} \\cos⁡\\phi^\\prime ~ R_{TOA} d\\phi^\\prime $$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "This is an integral of the radiation imbalance weighted by cosine of latitude. In other words, this is **proportional to the area-weighted global average energy imbalance**.\n", "\n", "We started by assuming that this imbalance is zero.\n", "\n", "If the **global budget is balanced**, then the physical boundary condition of no-flux at the poles is satisfied." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "____________\n", "\n", "\n", "## 5. Observed and modeled poleward heat transport\n", "____________\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "Here we will code up a function that performs the above integration." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "def inferred_heat_transport(energy_in, lat=None, latax=None):\n", " '''Compute heat transport as integral of local energy imbalance.\n", " Required input:\n", " energy_in: energy imbalance in W/m2, positive in to domain\n", " As either numpy array or xarray.DataArray\n", " If using plain numpy, need to supply these arguments:\n", " lat: latitude in degrees\n", " latax: axis number corresponding to latitude in the data\n", " (axis over which to integrate)\n", " returns the heat transport in PW.\n", " Will attempt to return data in xarray.DataArray if possible.\n", " '''\n", " from scipy import integrate\n", " from climlab import constants as const\n", " if lat is None:\n", " try: lat = energy_in.lat\n", " except:\n", " raise InputError('Need to supply latitude array if input data is not self-describing.')\n", " lat_rad = np.deg2rad(lat)\n", " coslat = np.cos(lat_rad)\n", " field = coslat*energy_in\n", " if latax is None:\n", " try: latax = field.get_axis_num('lat')\n", " except:\n", " raise ValueError('Need to supply axis number for integral over latitude.')\n", " # result as plain numpy array\n", " integral = integrate.cumtrapz(field, x=lat_rad, initial=0., axis=latax)\n", " result = (1E-15 * 2 * np.math.pi * const.a**2 * integral)\n", " if isinstance(field, xr.DataArray):\n", " result_xarray = field.copy()\n", " result_xarray.values = result\n", " return result_xarray\n", " else:\n", " return result" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Let's now use this to calculate the total northward heat transport from our control simulation with the CESM:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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8SnnblgPZrEnN5MLEdojotWW+IjQokAcn92FXxnFmLtrldByFi4+ZiTVnzwQ2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\nkL115ittSgVSjTFL7f/nYBWzgyLS2hi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(ASR_cesm_zon.lat, inferred_heat_transport(ASR_cesm_zon - OLR_cesm_zon))\n", "ax.set_ylabel('PW')\n", "ax.set_xticks(ticks)\n", "ax.grid()\n", "ax.set_title('Total northward heat transport inferred from CESM control simulation');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "The total heat transport is very nearly symmetric about the equator, with poleward transport of about 5 to 6 PW in both hemispheres.\n", "\n", "The transport peaks in magnitude near 35º latitude, the same latitude where we found that ASR = OLR. This is no coincidence!\n", "\n", "Equatorward of 35º (across the tropics) there is **net heating by radiation** and **net cooling by dynamics**. The opposite is true poleward of 35º." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Atmospheric and oceanic components of the heat transport, from observations" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Discuss. What do you see here?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "____________\n", "\n", "\n", "## 5. Parameterizing the heat transport for simple models\n", "____________" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The most important role for heat transport by winds and ocean currents is to more energy from where it’s WARM to where it’s COLD, thereby reducing the temperature gradient (equator to pole) from what it would be if the planet were in radiative equilibrium everywhere with no north-south motion." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the basis for the **parameterization of heat transport** often used in simple models: modeling heat transport as a **diffusion** process." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We're basically going to assume that motion is random stirring, which acts to conduct heat like a metal rod stuck in a fire.\n", "\n", "We will use this analogy to build a simple parameterize to represent the net, statistical effect of all the north-south motion of air and water" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The temperature diffusion parameterization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The temperature gradient is the rate of change of temperature with distance. In simple models we usually limit ourselves to the average temperature of latitude bands, so the gradient refers to the north-south direction, $\\partial T/\\partial \\phi$.\n", "\n", "This measures how quickly the temperature decreases as we move northward\n", "(negative in NH, positive in SH)\n", "\n", "In any conduction or diffusion process, the flux (transport) of a quantity is always DOWN-gradient (from WARM to COLD)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So our parameterization will look like\n", "\n", "$$ \\mathcal{H}(\\phi) \\propto -\\frac{\\partial T}{\\partial \\phi} $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "More specifically we'll write\n", "\n", "$$ \\mathcal{H}(\\phi) = -2 \\pi ~a^2 \\cos\\phi D \\frac{\\partial T}{\\partial \\phi} $$\n", "\n", "Where $D$ is some positive number, the *thermal diffusivity of the climate system*. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because this is a parameterization, we have just introduced a parameter $D$. We need to choose a value for $D$. We will do this by matching to observations. In other words, we will **tune our model** to get the correct result." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will do this in more detail next time. But let’s take a quick look at numbers:\n", "\n", "Observed surface temperatures (zonal, annual means):\n", "\n", "- $T_s = 20^\\circ$C at 30$^\\circ$ latitude\n", "- $T_s = 0^\\circ$C at 60$^\\circ$ latitude" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solving for $D$:\n", "\n", "$$ D = -\\frac{\\mathcal{H}(\\phi)}{2 \\pi ~a^2 \\cos\\phi ~\\frac{\\partial T}{\\partial \\phi}} $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plug in numbers for mid-latitudes:\n", "\n", "gives about $D = 1$ W m$^{-2}$ $^\\circ$C$^{-1}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next time we will use this parameterization to build a simple Energy Balance Model that represents the equator-to-pole temperature gradient." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "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 }