{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# [ATM 623: Climate Modeling](../index.ipynb)\n",
"\n",
"[Brian E. J. Rose](http://www.atmos.albany.edu/facstaff/brose/index.html), University at Albany\n",
"\n",
"# Lecture 25: Water, water everywhere! \n",
"\n",
"## A brief look at the effects of evaporation on global climate"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Warning: content out of date and not maintained\n",
"\n",
"You really should be looking at [The Climate Laboratory book](https://brian-rose.github.io/ClimateLaboratoryBook) by Brian Rose, where all the same content (and more!) is kept up to date.\n",
"\n",
"***Here you are likely to find broken links and broken code.***"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"### About these notes:\n",
"\n",
"This document uses the interactive [`Jupyter notebook`](https://jupyter.org) format. The notes can be accessed in several different ways:\n",
"\n",
"- The interactive notebooks are hosted on `github` at https://github.com/brian-rose/ClimateModeling_courseware\n",
"- The latest versions can be viewed as static web pages [rendered on nbviewer](http://nbviewer.ipython.org/github/brian-rose/ClimateModeling_courseware/blob/master/index.ipynb)\n",
"- A complete snapshot of the notes as of May 2017 (end of spring semester) are [available on Brian's website](http://www.atmos.albany.edu/facstaff/brose/classes/ATM623_Spring2017/Notes/index.html).\n",
"\n",
"[Also here is a legacy version from 2015](http://www.atmos.albany.edu/facstaff/brose/classes/ATM623_Spring2015/Notes/index.html).\n",
"\n",
"Many of these notes make use of the `climlab` package, available at https://github.com/brian-rose/climlab"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Ensure compatibility with Python 2 and 3\n",
"from __future__ import print_function, division"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Contents\n",
"\n",
"1. [Imagine a world with reduced efficiency of evaporation](#section1)\n",
"2. [Reduced evaporation experiment in a simple model with `climlab`](#section2)\n",
"3. [Reduced evaporation efficiency experiment in an aquaplanet GCM](#section3)\n",
"4. [Conclusion](#section4)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"____________\n",
"\n",
"\n",
"## 1. Imagine a world with reduced efficiency of evaporation\n",
"____________"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Recall from [last lecture](./Lecture21 -- The surface energy balance.ipynb) that the bulk formula for surface evaporation (latent heat flux) is \n",
"\n",
"$$ \\text{LE} = L ~\\rho ~ C_D ~ U \\left( q_s - q_a \\right) $$\n",
"\n",
"which we approximated in terms of temperatures for a wet surface as\n",
"\n",
"$$ \\text{LE} \\approx L ~\\rho ~ C_D ~ U \\left( (1-r) ~ q_s^* + r \\frac{\\partial q^*}{\\partial T} \\left( T_s - T_a \\right) \\right) $$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"The drag coefficient $C_D$ determines the flux for a given set of temperatures, relative humidity, and wind speed.\n",
"\n",
"Now suppose that the drag coefficient is **reduced by a factor of two** (for evaporation only, not for sensible heat flux). i.e. *all else being equal, there will be half as much evaporation*.\n",
"\n",
"Reasoning through the effects of this perturbation (and calculating the effects in models) will give us some insight into several different roles played by water in the climate system."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### In-class exercise:\n",
"\n",
"**What is the effect of the reduced evaporation efficiency on surface temperature?**\n",
"\n",
"- Form small groups.\n",
"- Each group should formulate a hypothesis about how and why the surface temperature will change when $C_D$ is reduced by a factor of 2.\n",
"- Draw a sketch of the **surface temperature anomaly** as a function of latitude.\n",
"- Be prepared to explain your sketch and your hypothesis."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"____________\n",
"\n",
"\n",
"## 2. Reduced evaporation experiment in a simple model with `climlab`\n",
"____________\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"We can use `climlab` to construct a model for the zonal-average climate. The model will be on a pressure-latitude grid. It will include the following processes:\n",
"\n",
"- **Seasonally varying insolation** as function of latitude\n",
"- RRTMG radiation, including water vapor dependence and prescribed clouds\n",
"- Fixed relative humidity\n",
"- Shortave absorption by ozone\n",
"- Meridional heat transport, implemented as a **horizontal down-gradient temperature diffusion** at every vertical level\n",
"- Sensible and Latent heat fluxes at the surface using the bulk formulas\n",
"- Convective adjustment of the **atmospheric** lapse rate (not surface)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"This model basically draws together all the process models we have developed throughout the course, and adds the surface flux parameterizations.\n",
"\n",
"Note that since we are using explicit surface flux parameterizations, we will now use the convective adjustment only on the **atmospheric** air temperatures. Previous our adjustment has also modified the **surface** temperature, which was implicitly taking account of the turbulent heat fluxes. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"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",
"import climlab\n",
"from climlab import constants as const"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def inferred_heat_transport( energy_in, lat_deg ):\n",
" '''Returns the inferred heat transport (in PW) by integrating the net energy imbalance from pole to pole.'''\n",
" from scipy import integrate\n",
" from climlab import constants as const\n",
" lat_rad = np.deg2rad( lat_deg )\n",
" return ( 1E-15 * 2 * np.math.pi * const.a**2 * \n",
" integrate.cumtrapz( np.cos(lat_rad)*energy_in,\n",
" x=lat_rad, initial=0. ) )"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"# A two-dimensional domain\n",
"num_lev = 50\n",
"state = climlab.column_state(num_lev=num_lev, num_lat=60, water_depth=10.)\n",
"lev = state.Tatm.domain.axes['lev'].points"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Here we specify cloud properties. The combination of the two cloud layers defined below were found to reproduce the **global, annual mean energy balance** in a single-column model.\n",
"\n",
"We will specify the same clouds everywhere for simplicity. A more thorough investigation would incorporate some meridional variations in cloud properties."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# Define two types of cloud, high and low\n",
"cldfrac = np.zeros_like(state.Tatm)\n",
"r_liq = np.zeros_like(state.Tatm)\n",
"r_ice = np.zeros_like(state.Tatm)\n",
"clwp = np.zeros_like(state.Tatm)\n",
"ciwp = np.zeros_like(state.Tatm)\n",
"# indices\n",
"high = 10 # corresponds to 210 hPa\n",
"low = 40 # corresponds to 810 hPa\n",
"# A high, thin ice layer (cirrus cloud)\n",
"r_ice[:,high] = 14. # Cloud ice crystal effective radius (microns)\n",
"ciwp[:,high] = 10. # in-cloud ice water path (g/m2)\n",
"cldfrac[:,high] = 0.322\n",
"# A low, thick, water cloud layer (stratus)\n",
"r_liq[:,low] = 14. # Cloud water drop effective radius (microns)\n",
"clwp[:,low] = 100. # in-cloud liquid water path (g/m2)\n",
"cldfrac[:,low] = 0.21\n",
"# wrap everything up in a dictionary\n",
"mycloud = {'cldfrac': cldfrac,\n",
" 'ciwp': ciwp,\n",
" 'clwp': clwp,\n",
" 'r_ice': r_ice,\n",
" 'r_liq': r_liq}"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYsAAAEWCAYAAACXGLsWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nO3de5xcdX3/8dd7dnMj3BISEJJAIED9BS9AF0SgikqrUi3WlgoqBUWplf6q/WkLqFWr0vKzwq/Wii0/KZeCAlKtqEXB2IAit0ShGC4SAUlIICHcIZfdnU//ON/ZOTs7s2f2Mjuz2ffz8djHnPme7znnM2dmz+d8v98zZxQRmJmZDafU7gDMzKzzOVmYmVkhJwszMyvkZGFmZoWcLMzMrJCThZmZFXKy2M5J+pikr6bpxZJCUvc4rfthSceOcJlxjaFm3ZdI+tww8z8n6QlJj433tuts612Srm/Ben9L0v3juL5h99lESJ+H/dsZQ6tJ+rSky5usu1zS+1od00g5WYyjdPDcLOl5SY9LuljSju2MKSL+NiI67oM30SQtAj4CLI2Il4zzuockwIi4IiJ+Zzy3k9b744j4jdEsK+lUST8Z75hsanCyGH9vjYgdgUOBw4BP1FZQpuX7vhVn75PYPsCmiNhQb6b3ldnwnCxaJCIeBa4DXgYDTctzJN0MvAjsJ2kXSRdJWi/p0dRN0pXq7y/pRknPpK6TqyrrlnSQpBskPZlaMB9L5Z+WdI2kyyU9C5zaoPn7Xknr0nY/kltvSdJZkn4laZOkqyXNzc0/WdKv07yPD/f6Jc2SdF6q/4ykn0iaVafeXpKuTa9ltaT35+YN6iKRdIyktbnnh0j6maTn0v6Z2SCWY4EbgL1Sq++SXGvgNEmPAD9Kdb8h6bEU802SDmriNd2Uqjyd1v/q2rN4SUdKuiMtd4ekI3Pzlkv6rKSb02u5XtK8Bq+ldh88LOmjkv47rfsqSUP2g6T/Bfwz8OoU49O52XMkfS9t+zZJS3LLvTT3Wbtf0h/ViyvVnausNb1O0lOS/iM37/3p/X0yvd97NVjHoC6YOvsxJH1Q0gMp3s9KWiLpFknPps/s9Py+kvQRSRvS5/09w8S/XNn/4E/TPvqOpN0kXZHWfYekxbn6w72n+yr7/31O0g3AvJptHZG287SkuyQd0yiujhER/hunP+Bh4Ng0vQhYBXw2PV8OPAIcBHQD04D/AP4FmA3sDtwO/Emq/3Xg42QJfSZwdCrfCVhP1qUyMz1/VZr3aaAXeFtablYquzzNXwxEWvds4OXAxlzMHwZuBRYCM1JsX0/zlgLPA69J884H+irL1tkXX06veQHQBRyZlqvE0J3q3QhckF7LwSmeN6R5lwCfy63zGGBtmp4O/Br4i7Qv/zC99s81iGdg2Zp9cVnaF7NS+XvTPp0B/ANw50hfU6p7KvCTND0XeAo4Ob33J6Xnu+U+G78CDkzv2XLg3CZfx8Nkn5u90nbuBT7QYNmBmHJllwBPAoen2K4ArkzzZgNrgPekeYcCTwAHNVj/94CrgDnpPXltKn99Wu7QtL++BNyUWy6A/XP74n2NYk51rwV2Jvtf2gosA/YDdgHuAU7J7as+4DMpnuPITtTmNIh/ObAaWJJb1y+BY9Prvwy4uMn39Bay/5EZZP8zz1H9P1wAbErxlIDfTs/n19sHnfLX9gC2p7/0j/s88DTZgewCqgeh5cBncnX3SB/0Wbmyk4D/StOXARcCC2u2cRLw8wbb/3T+nzBXVpssXpqb/3ngojR9L+lAnZ7vSXYA7gY+STqIpHmzgW3USRbpH2Az8Mo68yoxdJMl1H5gp9z8vwMuSdOX0DhZvAZYByg3/6eMPFnsN8z7uWuqs0uzrylXdirVZHEycHvNMrcAp+Y+G5/Izfsg8P0mX8fDwLtr3s9/brDsQEy5skuAr+aeHwfcl6bfAfy4pv6/AJ+qs+49gTJ1DsTARcDnc893TJ+rxen5SJPFUbnnK4Ezc8/PA/4ht68217wvG4AjGuyf5cDHa9Z1Xe75W0knD8O9p8DeZElqdm7e16j+H54J/FvNsj+gmuQG7YNO+XM31Ph7W0TsGhH7RMQHI2Jzbt6a3PQ+ZGc761NT9Gmyf8Td0/y/AgTcLmmVpPem8kVkZ6GNrBlmXr06vyY7K63E9K1cPPeSHcz3SHUGlouIF8jOhuqZR9ZSGC5O0jqfjIjnauJZ0MRr2At4NNJ/V27ZkRp4TZK6JJ2rrBvuWbIDMWSvp9nX1CjW2thqX2f+Cq0XyQ6ozRrLssMtvw/wqsrnIX0m3gXUu0BgEdl7+VSdeYNef0Q8T/bZaeZ9rufx3PTmOs/zr39TRPTlnhftn2bXPdx7uhfwVPofyc+r2Ac4oWa/Hk2WcDuWk8XEyh/Y1pC1LOal5LJrROwcEQcBRMRjEfH+iNgL+BPgAmWXF64hayY3s41GFuWm9yY7Q6/E9OZcPLtGxMzIxl/W55eTtAOwW4P1PwFsKYiTtN25knaqiefRNP0CsENuXv4gtR5YIEk1y45Ufn+9EzierNthF7IWA2RJe7jXVLTP15EdIPLyr3OijPQW02uAG2s+DztGxJ82qDtX0q515g16/ZJmk3126r3+4d7zTjLce7qebBxods28ijVkLYv8fp0dEee2NuSxcbJok4hYD1wPnCdpZ2WDy0skvRZA0gmSFqbqT5H9o/cD3wVeIunDkmZI2knSq0a4+b+WtIOywdv3kPUzQzYAeo6kfVIM8yUdn+ZdA7xF0tFpAPEzNPj8REQZ+FfgfGUD2F3KBn1n1NRbQ9Z19HeSZkp6BXAaWb85wJ3AcWng9CVkYyoVt5A19f9cUrekt5P1u4/FTmQJfBPZAetvm3xNG8m6YPZrsN7/BA6U9M4U6zvIxoC+O8Z4R+pxYGFlALgJ3yWL+2RJ09LfYcoGywdJn+fryE5q5qS6r0mzvwa8R9LBaX/9LXBbRDxcZ5t3Am9Pn8/9yT4PnajhexoRvwZWAH8jabqko8m6sCouB94q6Y3pczQzDcYvHLqZzuFk0V5/TDZQew9ZQriGalP0MOA2Sc+TDeh9KCIeSl02v0324XsMeAB43Qi3eyPZQN4y4AsRUfny2BfTtq6X9BzZYPerACJiFXAG2T/++hTvWhr7KHA3cAfZAOr/pf7n7SSyM/h1wLfI+sNvSPP+DbiLrDvoeqpJjYjYBrydrI/4KbL+9W829eobu4ysu+BRsvfk1mZeU0S8CJwD3Jy6FY7ILxQRm4C3kF2UsImsi/EtEfHEGOMdqR+RXXTxmKTCbafP2u8AJ5K9P4+RveYZDRY5mWws4j6ysYEPp/UsA/4a+Heyz86StM56/h/ZWNjjwKVUTxw6ShPv6TvJ/neeBD5F9tmqLLuGrAX7MbITjTXAX9Lhx2MN7vI1MzMbqqMzmZmZdQYnCzMzK+RkYWZmhZwszMys0HZ787R58+bF4sWL2x2GmdmksnLlyiciYn5t+XabLBYvXsyKFSvaHYaZ2aQiqe6dENwNZWZmhZwszMyskJOFmZkVmjTJQtKblP34ympJZ7U7HjOzqWRSJAtlvx73ZeDNZDfrOknS0vZGZWY2dUyKZEF2N9HVEfFguoHclWQ34jIzswkwWZLFAgb/YM9a6vxwiqTTJa2QtGLjxo0TFpyZ2fZusiQL1SkbcrvciLgwInoiomf+/CHfKWnKJTc/xHfuWldc0cxsCpksyWItg3/dbSHVX3cbV1fc9gjX/WJ9K1ZtZjZpTZZkcQdwgKR90698nUj2Iz1mZjYBJsXtPiKiT9KfAT8AuoB/Tb/cZmZmE2BSJAuAiPhPst+9NTOzCTZZuqHMzKyNnCzMzKyQk4WZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZmaFnCzMzKyQk4WZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZmaFnCzMzKyQk4WZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZmaFnCzMzKyQk4WZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZoe6J3qCkRcBlwEuAMnBhRHxR0lzgKmAx8DDwRxHxVFrmbOA0oB/484j4QStjfHZzH/euf5aukrI/qTqdL+uqmSdRKqmVoZmZtcWEJwugD/hIRPxM0k7ASkk3AKcCyyLiXElnAWcBZ0paCpwIHATsBfxQ0oER0d+K4GZN7+Inq5/gzV/88aiWlxhIGt25BNJdyj2mBFOvbEhCKigrafB6Bsq6Bs/rqlsGXV2lbF6lrARdpVLNdqplpRJ0l0pNlw3Mq1NWEkhOrmaTwYQni4hYD6xP089JuhdYABwPHJOqXQosB85M5VdGxFbgIUmrgcOBW1oR35ffeSj3rn+WcgR95aC/HNl0fwyUlVN5X7m2DPrLZfoblA1MD5RBuRz0NSwLtvb158piYF45oD/FkY8lX9ZfjrTdaMWuGhclDU0gWYJKyadOC66SDOuVVZJhM0mzqJU4pKymBdndoKzRiUJ+XYVlbrVah2lHy2KApMXAIcBtwB4pkRAR6yXtnqotAG7NLbY2lbXEork7sGjuDq1afVtExEByySfB/nwyHEhE9RPkyJJmNVHVK6uX0PLbri0bmFenrJIg+8rB1t5yYdIcrqzyGqJDc2ul1TpcQssn0nyrtV6CHEvSbNiiLQ1NkPXKhkua9VvRuRbvwOurtlpry9xqHX9tSxaSdgT+HfhwRDw7zBtbb0bdf2dJpwOnA+y9997jEeZ2QUpdTj4zbUo5l0hqE2ll3pCk2SCRtiNp1pbVa332lcts7cvHUmn1ZicWfeUy5TIDrd7sRKE8aF6nt1qrLbJqAunuKqUE2USLtlQ/QY41aRa1Wocry7daa8sqJwV77DSTObOnj/v+bEuykDSNLFFcERHfTMWPS9oztSr2BDak8rXAotziC4F19dYbERcCFwL09PR07qfYOlqpJEqIaV3tjqTzVVqtgxJIfyVBDi3rL2etv96+YFt/P1v7ymzrK9PbH2zrK7Otv5/evmBrf1a+bWB+mW2pbGu+rK9aPmi6v2bZvjJb+sps29LX7l3WcnvsPIPbPnbsuK+3HVdDCbgIuDcizs/NuhY4BTg3PX47V/41SeeTDXAfANw+cRGbFcufzQ902zXoohso669pEdRrbTTZhTbiLsZ6raUmWz/DlTWzHzq1mw9oQffZ0FbJoJZAZT0DLZx892C1621oWfXilIGy9LjfvNmt2TctWevwjgJOBu6WdGcq+xhZkrha0mnAI8AJABGxStLVwD1kV1Kd0aoroawqot6BIHVL1CkbfHDIlfVXuk2qZfmB/nplle6Q/qgtY+DsNF9WjpqLBAbKqhcE1JaNpouo9oCYL+tU1e6V5gfmG12tN727NKIr9UbcdTPaixFGGFPtfshv0xprx9VQP6H+OATAGxoscw5wTsuCytnS289jz2wZ2QFj4IA4+KyxtmxI//Eoz97GciY5uEtgmNfXuce/wYO0A2dmI+/zLZVgeqmr5iBZ6cseXFY5c6uc/dWezdU7w+uq6QcffECsX1ZK/eVDygadjVbLqvthaFlXSR7ktXHT1quhOtGpF9/OrQ8+OaHbrJz9jWSwrFFzeFpXiZnTRjEwNmwTeWzfBWnmLLPRmWdXnXjMbOI5WdTY9Pw2XrlwF9579L6DD1TNXHrY6KBa0Dz32Z+ZdTonizoWzJnF8Qe37KscZmaTjm8kaGZmhZwszMyskJOFmZkVcrIwM7NCThZmZlbIycLMzAo5WZiZWSEnCzMzK+RkYWZmhZwszMyskJOFmZkVcrIwM7NCThZmZlbIycLMzAo5WZiZWSEnCzMzK+RkYWZmhZwszMysUOHPqkp6NfBu4LeAPYHNwC+A7wGXR8QzLY3QzMzabtiWhaTrgPcBPwDeRJYslgKfAGYC35b0e60O0szM2quoZXFyRDxRU/Y88LP0d56keS2JzMzMOsawLYs6iWJUdczMbHJraoBb0hGS7pD0vKRtkvolPdvq4MzMrDM0ezXUPwEnAQ8As8jGMb7UqqDMzKyzFF4NVRERqyV1RUQ/cLGkn7YwLjMz6yDNJosXJU0H7pT0eWA9MLt1YZmZWSdpthvq5FT3z4AXgEXAH7QqKDMz6yzNfCnvEGAJsCoi7gX+puVRmZlZRyn6Ut4ngavIWhHfk/T+CYnKzMw6SlE31DuAgyPiJOAw4PTx2rCkLkk/l/Td9HyupBskPZAe5+Tqni1ptaT7Jb1xvGIwM7PmFCWLLRHxIkBEbGqi/kh8CLg39/wsYFlEHAAsS8+RtBQ4ETiI7JYjF0jqGsc4zMysQNHBf4mka9Pfd2qeXzvajUpaCPwu8NVc8fHApWn6UuBtufIrI2JrRDwErAYOH+22zcxs5IoGuI+vef6FcdruPwB/BeyUK9sjItYDRMR6Sbun8gXArbl6a1PZEJJOJ3WV7b333uMUqpmZDZssIuLG8d6gpLcAGyJipaRjmlmkTlnUqxgRFwIXAvT09NStY2ZmI9fUl/IkHQV8GtgnLSMgImK/UWzzKOD3JB1HdpvznSVdDjwuac/UqtgT2JDqryX7XkfFQmDdKLZrZmaj1OyA9UXA+cDRZFdF9aTHEYuIsyNiYUQsJhu4/lFEvBu4FjglVTsF+HaavhY4UdIMSfsCBwC3j2bbZmY2Os3e7uOZiLiupZHAucDVkk4DHgFOAIiIVZKuBu4B+oAz0v2pzMxsggybLCQdmib/S9LfA98EtlbmR8TPxrLxiFgOLE/Tm4A3NKh3DnDOWLZlZmajV9SyOK/meU9uOoDXj284ZmbWiYquhnrdRAViZmadq+jeUO+WVO/S1cr8JZKOHv+wzMyskxR1Q+1G9hsWK4GVwEayy133B14LPEG6LYeZmW2/irqhvijpn8jGJo4CXgFsJrun08kR8UjrQzQzs3YrvHQ2XaZ6Q/ozM7MpaDzvImtmZtspJwszMyvkZGFmZoWaShaS9pB0kaTr0vOl6bYcZmY2BTTbsrgE+AGwV3r+S+DDrQjIzMw6T7PJYl5EXA2UASKiD/DN/MzMpohmk8ULknYj/eiQpCOAZ1oWlZmZdZRmb1H+f8h+V2KJpJuB+cAftiwqMzPrKIXJQlKJ7BYfrwV+g+xX8u6PiN4Wx2ZmZh2imW9wlyWdFxGvBlZNQExmZtZhmh2zuF7SHwx3B1ozM9t+jWTMYjbQJ2kLWVdURMTOLYvMzMw6RlPJIiJ2anUgZmbWuZpKFpJeU688Im4a33DMzKwTNdsN9Ze56ZnA4WQ/huTf4DYzmwKa7YZ6a/65pEXA51sSkZmZdZzR3nV2LfCy8QzEzMw6V7NjFl8i3eqDLMEcDNzVqqDMzKyzNDtmsSI33Qd8PSJubkE8ZmbWgZods7i0Mi1pDrCoZRGZmVnHafbHj5ZL2lnSXLLup4slnd/a0MzMrFM0O8C9S0Q8C7wduDgifhM4tnVhmZlZJ2k2WXRL2hP4I+C7LYzHzMw6ULPJ4jNkP6u6OiLukLQf8EDrwjIzs07S7AD3N4Bv5J4/CPxBq4IyM7PO0uwA9+fTAPc0ScskPSHp3aPdqKRdJV0j6T5J90p6taS5km6Q9EB6nJOrf7ak1ZLul/TG0W7XzMxGp9luqN9JA9xvIfv29oEMvl/USH0R+H5EvBR4JXAvcBawLCIOAJal50haCpwIHAS8CbhAUtcYtm1mZiPUbLKYlh6PI/tC3pOj3aCknYHXABcBRMS2iHgaOB6ofJ/jUuBtafp44MqI2BoRDwGryW5kaGZmE6TZZPEdSfcBPcAySfOBLaPc5n7ARrLvavxc0lclzQb2iIj1AOlx91R/AbAmt/zaVDaEpNMlrZC0YuPGjaMMz8zMajWVLCLiLODVQE9E9AIvkp3xj0Y3cCjwlYg4BHiB1OXUQL2fco06ZUTEhRHRExE98+fPH2V4ZmZWq9kB7h2AM4CvpKK9yFoZo7EWWBsRt6Xn15Alj8fTdzlIjxty9fO3F1kIrBvlts3MbBSa7Ya6GNgGHJmerwU+N5oNRsRjwBpJv5GK3gDcA1wLnJLKTgG+naavBU6UNEPSvsABwO2j2baZmY1Os3edXRIR75B0EkBEbJZUr3uoWf8buELSdOBB4D1kietqSacBjwAnpG2tknQ1WULpA86IiP4xbNvMzEao2WSxTdIs0liBpCXA1tFuNCLupH431hsa1D8HOGe02zMzs7FpNll8Cvg+sEjSFcBRwKmtCsrMzDpLYbJI3U33kd1x9giyq5M+FBFPtDg2MzPrEIXJIiJC0n+k25J/bwJiMjOzDtPs1VC3SjqspZGYmVnHanbM4nXAByQ9TPYlOpE1Ol7RqsDMzKxzNJss3tzSKMzMrKMNmywkzQQ+AOwP3A1cFBF9ExGYmZl1jqIxi0vJvg9xN1nr4ryWR2RmZh2nqBtqaUS8HEDSRfg2G2ZmU1JRy6K3MuHuJzOzqauoZfFKSc+maQGz0vPK1VA7tzQ6MzPrCMMmi4jwz5eamVnTX8ozM7MpzMnCzMwKOVmYmVkhJwszMyvkZGFmZoWcLMzMrJCThZmZFXKyMDOzQk4WZmZWyMnCzMwKOVmYmVkhJwszMyvkZGFmZoWcLMzMrJCThZmZFXKyMDOzQk4WZmZWyMnCzMwKOVmYmVmhtiQLSX8haZWkX0j6uqSZkuZKukHSA+lxTq7+2ZJWS7pf0htbHd9zW/p4cOPzrHnyRR57ZgtPPL+VZ17s5YWtfWzrKxMRrQ7BzKyjdE/0BiUtAP4cWBoRmyVdDZwILAWWRcS5ks4CzgLOlLQ0zT8I2Av4oaQDI6K/FfHNnNbFjx94gtefd+Ow9bpKorskpnWVmNYlurtKTCtlj91dYnp67C5l86d1lXJ1snrTu0p0p2WmVep2i2mlbNlpaX5+G9XnlTrZctVtVuvUi6OyrWmlEqWSWrELzWw7NOHJIrfdWZJ6gR2AdcDZwDFp/qXAcuBM4HjgyojYCjwkaTVwOHBLKwL7x5MOYdW6Z+jrD3r7y/T2B33l9Nhfpq8cbOsr01cupzqV+dU6veX0mNZRWdcL2/qzdfQHveXykG1Un5cpT0DjpSQGEti07lIuoWTJpJJw8kluIFHlEtK0XLKrfV5NULV1KslwcLLN4qiuu7tUqia8rsGJdFpXiS4nPLMJMeHJIiIelfQF4BFgM3B9RFwvaY+IWJ/qrJe0e1pkAXBrbhVrU1lL7DtvNvvOm92q1TetXK4mlL7+YFt/eVBCqSatamIanLSqSS5LWIMTX29N0urrL7MtlxDzSa6S/Pr6g+d6+4bE0ds3uE5v2kb/BGQ8iZoEMnzS6i6J6d11WnRd1URZvzWYL6smrayFWLvNUk1iG7qugVZfSXSVhOSkZ52tHd1Qc8haC/sCTwPfkPTu4RapU1b3KCTpdOB0gL333nuMkbZXqSRmlLqY0a623ziIiPoJqr+a5Lalsmrrrdq6Gi5p9ZbL9PbVafWlxJjVqSTSwYny+a19Q+LozSe/mjgnwrQhSapO0urSQJIbrntxUBdm9+AENa2m/pAuzCGtt+o25s6ezm47zpiQ/WGdpx2HomOBhyJiI4CkbwJHAo9L2jO1KvYENqT6a4FFueUXknVbDRERFwIXAvT09HgUus0kMb1bTJ/EF91FREoolQQ1OKH0lcts66u26jZvK/Pitj429/azeVt/9pimX0zPt6THF7cNrbO5t58XtvWxpbfc7pc+xPTuEis/cSw7zZzW7lCsDdqRLB4BjpC0A1k31BuAFcALwCnAuenx26n+tcDXJJ1PNsB9AHD7RAdtrdVfru3WqnbB9aYDcV/N2f/AGFFuzKe2pVLbBVevznAti6Hda4PHqqrrm9hxpqEti9QSyHWPTasZVxpyQcaQlsXw40x77TKLHSdzU9fGpB1jFrdJugb4GdAH/JysNbAjcLWk08gSygmp/qp0xdQ9qf4ZrboSajKKyMYGhhxA6w2yDxqfqDlgpm6d3uHGI5oY3B/JgXwgvnKZibgauXIFW3XAvP54ROWAOb27xA6juIKt8TjJ4CvY6l/l1qgbylewWXtpe/3OQE9PT6xYsWLEy23t62fjc1vrdDHU9ovXHpRrD5i5s9phDtyNroaqrKP+QXrwQXkidBdcDdXo6qjqAXXwQbd61tvgDLfegbzwCqyaOulA3l3Kyn2gNSsmaWVE9NSWu01Z472X3MHNqzeN6zrrHey6S6U6V+Vk83eY3t3wzHLQgbLB1TWDz3qLBzgHbSO3jmrXhK/WMZvqnCxqbHh2K69YuAunHrm48dmrL4s0synGyaKOhXNm8fZDF7Y7DDOzjjF5r2k0M7MJ42RhZmaFnCzMzKyQk4WZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZmaFnCzMzKyQk4WZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZmaFnCzMzKyQk4WZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZmaFnCzMzKyQk4WZmRVysjAzs0ItSxaS/lXSBkm/yJXNlXSDpAfS45zcvLMlrZZ0v6Q35sp/U9Ldad4/SlKrYjYzs/pa2bK4BHhTTdlZwLKIOABYlp4jaSlwInBQWuYCSV1pma8ApwMHpL/adY6r3zpgPocsmlNc0cxsCulu1Yoj4iZJi2uKjweOSdOXAsuBM1P5lRGxFXhI0mrgcEkPAztHxC0Aki4D3gZc16q4P/nWpa1atZnZpDXRYxZ7RMR6gPS4eypfAKzJ1Vubyhak6dryuiSdLmmFpBUbN24c18DNzKayThngrjcOEcOU1xURF0ZET0T0zJ8/f9yCMzOb6iY6WTwuaU+A9Lghla8FFuXqLQTWpfKFdcrNzGwCTXSyuBY4JU2fAnw7V36ipBmS9iUbyL49dVU9J+mIdBXUH+eWMTOzCdKyAW5JXycbzJ4naS3wKeBc4GpJpwGPACcARMQqSVcD9wB9wBkR0Z9W9adkV1bNIhvYbtngtpmZ1aeIhkMAk1pPT0+sWLGi3WGYmU0qklZGRE9teacMcJuZWQdzsjAzs0LbbTeUpI3Ar0e5+DzgiXEMZ/wCnVEAAAXhSURBVCI59vaZzPE79vboxNj3iYgh3z3YbpPFWEhaUa/PbjJw7O0zmeN37O0xmWJ3N5SZmRVysjAzs0JOFvVd2O4AxsCxt89kjt+xt8ekid1jFmZmVsgtCzMzK+RkYWZmhaZUspD0pvSzraslnVVnvtJPt66W9N+SDm122YkwxvgfTj9Pe6ekCb8PShOxv1TSLZK2SvroSJZttTHG3un7/V3ps/Lfkn4q6ZXNLjsRxhh/p+/741Pcd6bf4Tm62WXbIiKmxB/QBfwK2A+YDtwFLK2pcxzZjQoFHAHc1uyynRx/mvcwMK+D9/3uwGHAOcBHR7Jsp8Y+Sfb7kcCcNP3mSfiZrxv/JNn3O1IdN34FcF+n7Pt6f1OpZXE4sDoiHoyIbcCVZD/nmnc8cFlkbgV2Tb+70cyyrTaW+NutMPaI2BARdwC9I122xcYSe7s1E/tPI+Kp9PRWqr8f0+793lQMw8Tfbs3E/nyk7ADMpvrDbp2w74eYSsmi0U+3NlOnmWVbbSzxQ/ZBvF7SSkmntyzK+say/9q978e6/cm030+j+hMA7d7vo4khHz9Mgn0v6fcl3Qd8D3jvSJadaC37PYsO1MxPtI7Lz7u2yFjiBzgqItZJ2h24QdJ9EXHTuEbY2Fj2X7v3/Vi3Pyn2u6TXkR1sK/3m7d7vI4qhTvwwCfZ9RHwL+Jak1wCfBY5tdtmJNpVaFo1+urWZOs0s22pjiZ+IqDxuAL5F1tSdKGPZf+3e92Pa/mTY75JeAXwVOD4iNo1k2RYbS/yTYt9XpCS2RNK8kS47Ydo9aDJRf2StqAeBfakOGh1UU+d3GTxAfHuzy3Z4/LOBnXLTPwXe1Emx5+p+msED3G3d92OMveP3O7A3sBo4crSvu0Pjnwz7fn+qA9yHAo+m/9227/u6r6ndAUzwh+844JdkVxp8PJV9APhAmhbw5TT/bqBnuGUnS/xkV1Xclf5WtSP+JmJ/CdkZ1bPA02l6507Y96ONfZLs968CTwF3pr8Vk+wzXzf+SbLvz0yx3QncAhzdSfu+9s+3+zAzs0JTaczCzMxGycnCzMwKOVmYmVkhJwszMyvkZGFmZoWcLGzKkPQSSVdK+pWkeyT9p6QDJS2W9Itx2sapkv6pTvkMST9Mdxh9xxi3saukD+ae7yXpmrGs06yIk4VNCZJE9i3e5RGxJCKWAh8D9pigEA4BpkXEwRFxVU1sXSNc167AQLKIiHUR8YfjEKNZQ04WNlW8DuiNiH+uFETEnRHx43wlSTMlXZx+B+Hn6Z5DQ1oMkr4r6Zg0/R5Jv5R0I3BU7YbTvYkuBw5OLYsl6bcWPinpJ8AJkt4v6Q5Jd0n6d0k7pGX3kPStVH6XpCOBc8luDXGnpL/Pt4wK4v+mpO9LekDS58dz59r2byrdSNCmtpcBK5uodwZARLxc0kvJ7lp6YKPK6RbwfwP8JvAM8F/Az/N1ImKDpPeR3QrkLWk5gC0RcXR6vltE/P80/Tmym+J9CfhH4MaI+P3UAtkROAt4WUQcnOovbjL+g8laOFuB+yV9KSLydzc1a8gtC7PBjgb+DSAi7gN+DTRMFsCryLq2Nkb22wNXDVO3Vr7uyyT9WNLdwLuAg1L564GvpHj6I+KZMcS/LCKeiYgtwD3APiOI1aY4JwubKlaRnf0XqXd7aIA+Bv+/zMxNj/aeOS/kpi8B/iwiXk7WUplZd4lijeKHrEVR0Y97FmwEnCxsqvgRMEPS+ysFkg6T9NqaejeRndmTum/2Bu4n+4nOgyWVJC2iervr24BjJO0maRpwwijj2wlYn9bxrlz5MuBPUzxdknYGnkv162kUv9mYOFnYlBDZHTN/H/jtdOnsKrJbitf+TsAFQFfqDroKODUitgI3Aw+R3c33C8DP0nrXp/XcAvywUj4Kf02WeG4A7suVfwh4XYpnJdmtqjcBN0v6haS/bzJ+szHxXWfNzKyQWxZmZlbIycLMzAo5WZiZWSEnCzMzK+RkYWZmhZwszMyskJOFmZkV+h+k/2TL0u95lgAAAABJRU5ErkJggg==\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(cldfrac[0,:], lev)\n",
"plt.gca().invert_yaxis()\n",
"plt.ylabel('Pressure (hPa)')\n",
"plt.xlabel('Cloud fraction')\n",
"plt.title('Prescribed cloud fraction in the column model')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Opened data from /Users/br546577/anaconda3/envs/climlab-courseware/lib/python3.7/site-packages/climlab/radiation/data/ozone/apeozone_cam3_5_54.nc\n",
"climlab Process of type . \n",
"State variables and domain shapes: \n",
" Ts: (60, 1) \n",
" Tatm: (60, 50) \n",
"The subprocess tree: \n",
"Radiative-Convective-Diffusive Model: \n",
" Radiation: \n",
" SW: \n",
" LW: \n",
" Insolation: \n",
" WaterVapor: \n",
" Convection: \n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/br546577/anaconda3/envs/climlab-courseware/lib/python3.7/site-packages/climlab/radiation/radiation.py:156: UserWarning: Some grid points are beyond the bounds of the ozone file. Ozone values will be extrapolated.\n",
" warnings.warn('Some grid points are beyond the bounds of the ozone file. Ozone values will be extrapolated.')\n"
]
}
],
"source": [
"# The top-level model\n",
"model = climlab.TimeDependentProcess(state=state, name='Radiative-Convective-Diffusive Model')\n",
"# Specified relative humidity distribution\n",
"h2o = climlab.radiation.ManabeWaterVapor(state=state)\n",
"# Hard convective adjustment for ATMOSPHERE ONLY (not surface)\n",
"conv = climlab.convection.ConvectiveAdjustment(state={'Tatm':model.state['Tatm']},\n",
" adj_lapse_rate=6.5,\n",
" **model.param)\n",
"# Annual mean insolation as a function of latitude and time of year\n",
"sun = climlab.radiation.DailyInsolation(domains=model.Ts.domain)\n",
"# Couple the radiation to insolation and water vapor processes\n",
"rad = climlab.radiation.RRTMG(state=state, \n",
" specific_humidity=h2o.q, \n",
" albedo=0.125,\n",
" insolation=sun.insolation,\n",
" coszen=sun.coszen,\n",
" **mycloud)\n",
"model.add_subprocess('Radiation', rad)\n",
"model.add_subprocess('Insolation', sun)\n",
"model.add_subprocess('WaterVapor', h2o)\n",
"model.add_subprocess('Convection', conv)\n",
"\n",
"print( model)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Here we add a diffusive heat transport process. The `climlab` code is set up to handle meridional diffusion level-by-level with a constant coefficient."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"from climlab.dynamics import MeridionalDiffusion\n",
"\n",
"# thermal diffusivity in W/m**2/degC\n",
"D = 0.04\n",
"# meridional diffusivity in m**2/s\n",
"K = D / model.Tatm.domain.heat_capacity[0] * const.a**2\n",
"d = MeridionalDiffusion(state={'Tatm': model.state['Tatm']}, \n",
" K=K, **model.param)\n",
"model.add_subprocess('Diffusion', d)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Now we will add the surface heat flux processes. We have not used these before.\n",
"\n",
"Note that the drag coefficient $C_D$ is passed as an input argument when we create the process. It is also stored as an attribute of the process and can be modified (see below).\n",
"\n",
"The bulk formulas depend on a wind speed $U$. In this model, $U$ is specified as a constant. In a model with more complete dynamics, $U$ would be interactively calculated from the equations of motion."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"# Add surface heat fluxes\n",
"shf = climlab.surface.SensibleHeatFlux(state=model.state, Cd=0.5E-3)\n",
"lhf = climlab.surface.LatentHeatFlux(state=model.state, Cd=0.5E-3)\n",
"# set the water vapor input field for LHF\n",
"lhf.q = h2o.q\n",
"model.add_subprocess('SHF', shf)\n",
"model.add_subprocess('LHF', lhf)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### The complete model, ready to use!"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"climlab Process of type . \n",
"State variables and domain shapes: \n",
" Ts: (60, 1) \n",
" Tatm: (60, 50) \n",
"The subprocess tree: \n",
"Radiative-Convective-Diffusive Model: \n",
" Radiation: \n",
" SW: \n",
" LW: \n",
" Insolation: \n",
" WaterVapor: \n",
" Convection: \n",
" Diffusion: \n",
" SHF: \n",
" LHF: \n",
"\n"
]
}
],
"source": [
"print( model)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"
\n",
"Although this is a \"simple\" model, it has a 60 x 30 point grid and is **by far the most complex model** we have built so far in these notes. These runs will probably take 15 minutes or more to execute, depending on the speed of your computer.\n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Integrating for 1460 steps, 1460.9688 days, or 4.0 years.\n",
"Total elapsed time is 3.997347513512951 years.\n"
]
}
],
"source": [
"model.integrate_years(4.)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Integrating for 365 steps, 365.2422 days, or 1.0 years.\n",
"Total elapsed time is 4.996684391891189 years.\n"
]
}
],
"source": [
"# One more year to get annual-mean diagnostics\n",
"model.integrate_years(1.)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(2,2,figsize=(14,10))\n",
"ax = axes[0,0]\n",
"ax.plot(model.lat, model2.timeave['Ts'] - model.timeave['Ts'])\n",
"ax.set_title('Surface temperature anomaly')\n",
"ax.set_ylabel('K')\n",
"\n",
"ax2 = axes[0,1]\n",
"field = (model2.timeave['Tatm'] - model.timeave['Tatm']).transpose()\n",
"cax = ax2.contourf(model.lat, model.lev, field)\n",
"ax2.invert_yaxis()\n",
"fig.colorbar(cax, ax=ax2)\n",
"ax2.set_title('Atmospheric temperature anomaly');\n",
"ax2.set_ylabel('hPa')\n",
"\n",
"ax3 = axes[1,0]\n",
"for field in ['LHF','SHF']:\n",
" ax3.plot(model2.lat, model2.timeave[field] - model.timeave[field], label=field)\n",
"ax3.set_title('Surface heat flux anomalies')\n",
"ax3.set_ylabel('W/m2')\n",
"ax3.legend();\n",
"\n",
"ax4 = axes[1,1]\n",
"Rtoa = np.squeeze(model.timeave['ASR'] - model.timeave['OLR'])\n",
"Rtoa2 = np.squeeze(model2.timeave['ASR'] - model2.timeave['OLR'])\n",
"ax4.plot(model.lat, inferred_heat_transport(Rtoa2-Rtoa, model.lat))\n",
"ax4.set_title('Meridional heat transport anomaly');\n",
"ax4.set_ylabel('PW')\n",
"\n",
"for ax in axes.flatten():\n",
" ax.set_xlim(-90,90); ax.set_xticks(ticks)\n",
" ax.set_xlabel('Latitude'); ax.grid();\n",
" \n",
"print ('The global mean surface temperature anomaly is %0.2f K.' \n",
" %np.average(model2.timeave['Ts'] - model.timeave['Ts'], \n",
" weights=np.cos(np.deg2rad(model.lat)), axis=0) )"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"This model predicts the following:\n",
"\n",
"- The **surface temperature** warms slightly in the tropics, and cools at high latitudes\n",
"- The **atmosphere** gets colder everywhere!\n",
"- There is a substantial reduction in surface latent heat flux, especially in the tropics where it is dominant.\n",
"- There is also a substantial **increase** in sensible heat flux. This is consistent with the cooler air temperatures and warmer surface.\n",
"- Colder tropical atmosphere leads to a decrease in the poleward heat tranpsort. This helps explain the high-latitude cooling.\n",
"- Notice that the heat transport responds to the **atmopsheric** temperature gradient, which changes in the opposite direction of the **surface** temperature gradient."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Basically, this model predicts that by inhibiting evaporation in the tropics, we force the tropical surface to warm and the tropical atmosphere to cool. This cooling signal is then communicated globally by atmospheric heat transport. The result is small positive global surface temperature anomaly."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Discussion: what is this model missing?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We could list many things, but as we will see below, two key climate components that are not included in this model are\n",
"\n",
"- changes in relative humidity\n",
"- cloud feedback\n",
"\n",
"We will compare this result to an analogous experiment in a GCM."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"____________\n",
"\n",
"\n",
"## 3. Reduced evaporation efficiency experiment in an aquaplanet GCM\n",
"____________\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The model is the familiar CESM but in simplified \"aquaplanet\" setup. The surface is completely covered by a shallow slab ocean.\n",
"\n",
"This model setup (with CAM4 model physics) is described in detail in this paper:\n",
"\n",
"> [Rose, B. E. J., Armour, K. C., Battisti, D. S., Feldl, N., and Koll, D. D. B. (2014). The dependence of transient climate sensitivity and radiative feedbacks on the spatial pattern of ocean heat uptake. Geophys. Res. Lett., 41, doi:10.1002/2013GL058955](http://onlinelibrary.wiley.com/doi/10.1002/2013GL058955/abstract;jsessionid=D32402F77E96A1F42972A200BF6FC535.f03t01)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Here we will compare a control simulation with a perturbation simulation in which we have once again **reduced the drag coefficient by a factor of 2**.\n"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"# Load the climatologies from the CAM4 aquaplanet runs\n",
"datapath = \"http://ramadda.atmos.albany.edu:8080/repository/opendap/latest/Top/Users/BrianRose/CESM_runs/\"\n",
"endstr = \"/entry.das\"\n",
"ctrl = xr.open_dataset(datapath + 'aquaplanet_som/QAqu_ctrl.cam.h0.clim.nc' + endstr, decode_times=False).mean(dim='time')\n",
"halfEvap = xr.open_dataset(datapath + 'aquaplanet_som/QAqu_halfEvap.cam.h0.clim.nc' + endstr, decode_times=False).mean(dim='time')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"lat = ctrl.lat\n",
"lon = ctrl.lon\n",
"lev = ctrl.lev"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"TS_anom = halfEvap.TS - ctrl.TS\n",
"Tatm_anom = halfEvap['T'] - ctrl['T']"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Temperature anomalies"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The global mean surface temperature anomaly is 4.38 K.\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, (ax1,ax2) = plt.subplots(1,2,figsize=(14,5))\n",
"ax1.plot(lat, TS_anom.mean(dim='lon')); ax1.set_title('Surface temperature anomaly')\n",
"cax2 = ax2.contourf(lat, lev, Tatm_anom.mean(dim='lon'), levels=np.arange(-7, 8., 2.), cmap='seismic')\n",
"ax2.invert_yaxis(); fig.colorbar(cax2,ax=ax2); ax2.set_title('Atmospheric temperature anomaly');\n",
"for ax in (ax1, ax2):\n",
" ax.set_xlim(-90,90); ax.set_xticks(ticks); ax.grid();\n",
" \n",
"print ('The global mean surface temperature anomaly is %0.2f K.' %((TS_anom*ctrl.gw).mean(dim=('lat','lon'))/ctrl.gw.mean(dim='lat')))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"In this model, reducing the evaporation efficiency leads to a **much warmer climate**. The largest warming occurs in mid-latitudes. The warming is **not** limited to the surface but in fact extends deeply through the troposphere.\n",
"\n",
"Both the spatial pattern and the magnitude of the warming are completely different than what our much simpler model predicted.\n",
"\n",
"Why?"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Compute all the terms in the TOA and surface energy and water budget anomalies\n"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"energy_budget = {}\n",
"for name, run in zip(['ctrl','halfEvap'],[ctrl,halfEvap]):\n",
" budget = xr.Dataset()\n",
" # TOA radiation\n",
" budget['OLR'] = run.FLNT\n",
" budget['OLR_clr'] = run.FLNTC\n",
" budget['ASR'] = run.FSNT\n",
" budget['ASR_clr'] = run.FSNTC\n",
" budget['Rtoa'] = budget.ASR - budget.OLR # net downwelling radiation\n",
" # surface fluxes (all positive UP)\n",
" budget['LHF'] = run.LHFLX\n",
" budget['SHF'] = run.SHFLX\n",
" budget['LWsfc'] = run.FLNS\n",
" budget['LWsfc_clr'] = run.FLNSC\n",
" budget['SWsfc'] = -run.FSNS\n",
" budget['SWsfc_clr'] = -run.FSNSC\n",
" budget['SnowFlux'] = ((run.PRECSC+run.PRECSL)\n",
" *const.rho_w*const.Lhfus)\n",
" # net upward radiation from surface\n",
" budget['SfcNetRad'] = budget['LWsfc'] + budget['SWsfc'] \n",
" budget['SfcNetRad_clr'] = budget['LWsfc_clr'] + budget['SWsfc_clr'] \n",
" # net upward surface heat flux\n",
" budget['SfcNet'] = (budget['SfcNetRad'] + budget['LHF'] + \n",
" budget['SHF'] + budget['SnowFlux'])\n",
" # net heat flux in to atmosphere\n",
" budget['Fatmin'] = budget['Rtoa'] + budget['SfcNet'] \n",
" # hydrological cycle\n",
" budget['Evap'] = run['QFLX'] # kg/m2/s or mm/s\n",
" budget['Precip'] = (run['PRECC']+run['PRECL'][:])*const.rho_w # kg/m2/s or mm/s\n",
" budget['EminusP'] = budget.Evap - budget.Precip # kg/m2/s or mm/s\n",
" energy_budget[name] = budget"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"# Here we take advantage of xarray!\n",
"# We can simply subtract the two xarray.Dataset objects \n",
"# to get anomalies for every term\n",
"# And also take the zonal averages for all anomaly fields in one line of code\n",
"anom = energy_budget['halfEvap'] - energy_budget['ctrl']\n",
"zonanom = anom.mean(dim='lon')"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Energy budget anomalies at TOA and surface"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, (ax1,ax2) = plt.subplots(1,2,figsize=(14,5))\n",
"ax1.plot(lat, zonanom.ASR, color='b', label='ASR')\n",
"ax1.plot(lat, zonanom.OLR, color='r', label='OLR')\n",
"ax1.plot(lat, zonanom.ASR_clr, color='b', linestyle='--')\n",
"ax1.plot(lat, zonanom.OLR_clr, color='r', linestyle='--')\n",
"ax1.set_title('TOA radiation anomalies')\n",
" \n",
"ax2.plot(lat, zonanom.SWsfc, color='b', label='SW')\n",
"ax2.plot(lat, zonanom.SWsfc_clr, color='b', linestyle='--')\n",
"ax2.plot(lat, zonanom.LWsfc, color='g', label='LW')\n",
"ax2.plot(lat, zonanom.LWsfc_clr, color='g', linestyle='--')\n",
"ax2.plot(lat, zonanom.LHF, color='r', label='LHF')\n",
"ax2.plot(lat, zonanom.SHF, color='c', label='SHF')\n",
"ax2.plot(lat, zonanom.SfcNet, color='m', label='Net')\n",
"ax2.set_title('Surface energy budget anomalies')\n",
"\n",
"for ax in [ax1, ax2]:\n",
" ax.set_ylabel('W/m2'); ax.set_xlabel('Latitude')\n",
" ax.set_xlim(-90,90); ax.set_xticks(ticks);\n",
" ax.legend(); ax.grid();"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Dashed lines are **clear-sky** radiation anomalies.\n",
"\n",
"Looking at the TOA budget:\n",
"\n",
"- Reducing evaporation efficiency leads to very large increase in ASR, especially in mid-latitudes\n",
"- This increase is almost entirely due to clouds!\n",
"- Accompanied by a (mostly) clear-sky OLR increase, consistent with the warmer temperatures.\n",
"\n",
"This is very suggestive of an important role for **low-level cloud changes**. [Why?]"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"From the **surface budget**:\n",
"\n",
"- Notice that the **decrease in evaporation is much weaker** than we found in the simple model.\n",
"- Here, the decreased evaporation **efficiency** is competing against the **warmer temperatures** which tend to strongly increase evaporation, all else being equal.\n",
"- The surface (ocean) gains a lot of excess heat by solar radiation.\n",
"- As noted from the TOA budget, this is **due to changes in cloudiness**.\n",
"- The clear-sky SW anomaly is actually positive, consistent with a warmer, moister atmosphere (but this effect is small).\n",
"- The LW anomaly is positive, indicating increased radiative cooling of the surface.\n",
"- This is also largely a cloud effect, and consistent with a **decrease in low-level cloudiness**. [Why?]\n",
"- As in the simple model, there is an **increase in the sensible heat flux** (though weaker).\n",
"- According to bulk formula, should be driven by one or both of\n",
" - increased wind speed\n",
" - increased air-sea temperature difference"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Vertical structure of relative humidity and cloud changes"
]
},
{
"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": [
"fig, ax = plt.subplots()\n",
"ax.plot(lat, HT['total'], 'k-', label='total', linewidth=2)\n",
"ax.plot(lat, HT['dse'], 'b', label='dry')\n",
"ax.plot(lat, HT['latent'], 'r', label='latent')\n",
"ax.set_xlim(-90,90); ax.set_xticks(ticks); ax.grid()\n",
"ax.legend(loc='upper left'); ax.set_ylabel('PW'); ax.set_xlabel('Latitude')"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"____________\n",
"\n",
"\n",
"## 4. Conclusion\n",
"____________\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"We have forced a climate change NOT by adding any kind of radiative forcing, but just by changing the efficiency of evaporation at the sea surface.\n",
"\n",
"The climate system then find a new equilibrium in which the radiative fluxes, surface temperature, air-sea temperature difference, boundary layer relative humidity, and wind speeds all change simultaneously. "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Reasoning our way through such a problem from first principles in practically impossible. This is particularly true because in this example, the dominant driver of the climate change is an increase in SW absorption due to a substantial decrease in low-level clouds across the subtropics and mid-latitudes.\n",
"\n",
"A comprehensive theory to explain these cloud changes does not yet exist. **Understanding changes in low-level cloudiness under climate change is enormously important** -- because these clouds, which have an unambiguous cooling effect, are a key determinant of climate sensitivity. There is lots of work left to do."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Water is intimately involved in just about every aspect of the planetary energy budget. Here we have highlighted the role of water in:\n",
"\n",
"- Cooling of the surface by evaporation\n",
"- Water vapor greenhouse effect\n",
"- Poleward latent heat transport\n",
"- Cloud formation"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"
\n",
"[Back to ATM 623 notebook home](../index.ipynb)\n",
"