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Last active March 30, 2017 15:10
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ghgforcing - LCA discussion forum presentation
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"source": "from __future__ import division\n%matplotlib inline\nimport matplotlib.pyplot as plt\nimport seaborn as sns\nimport pandas as pd\nimport numpy as np\nfrom ghgforcing import CO2, CH4\nfrom IPython.core.interactiveshell import InteractiveShell\nInteractiveShell.ast_node_interactivity = 'last_expr'",
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"cell_type": "code",
"source": "sns.set_context('talk', font_scale=1.5)",
"execution_count": null,
"outputs": []
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{
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"cell_type": "markdown",
"source": "# Dynamic LCA \n## ghgforcing - an open source Python package\n"
},
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"slideshow": {
"slide_type": "fragment"
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"cell_type": "markdown",
"source": "### 64<sup>th</sup> LCA Discussion Forum<br>March 30, 2017"
},
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"metadata": {
"slideshow": {
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"cell_type": "markdown",
"source": "### Greg Schivley - Carnegie Mellon University <img src=\"https://www.dropbox.com/s/9vbc3nto55iz3cm/Greg_1.jpg?raw=1\" alt=\"Greg\" width=\"200\" height=\"210\" align=\"right\">"
},
{
"metadata": {
"slideshow": {
"slide_type": "slide"
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},
"cell_type": "markdown",
"source": "# Introduction"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "- How (almost) everyone in LCA calculates climate impacts"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "- Why you might want to do something different"
},
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"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "- What you can do with the ghgforcing Python package"
},
{
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"cell_type": "markdown",
"source": "# Most LCA studies use GWP for climate impacts "
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"slide_type": "skip"
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"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "df = pd.DataFrame(columns=['Percent of Studies*', 'Method'])",
"execution_count": null,
"outputs": []
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"cell_type": "code",
"source": "df['Percent of Studies*'] = [98, 2]\ndf['Method'] = ['GWP', 'Anything else']\nsns.barplot(x='Method', y='Percent of Studies*', data=df)\nplt.ylabel('Percent of Studies*'),\nsns.despine()",
"execution_count": null,
"outputs": []
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "<img src=\"https://www.dropbox.com/s/odezulv9ql8kdh9/Percent%20of%20studies2.png?raw=1\"/>"
},
{
"metadata": {
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"cell_type": "markdown",
"source": "\\*Based on 8 years of experience as an LCA consultant"
},
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"metadata": {
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},
"cell_type": "markdown",
"source": "## Why?"
},
{
"metadata": {
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"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "- Multiplication is easy"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "- It’s good enough for everyone else"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "- Aren't all emissions are constant or in a single pulse?*"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "- GHGs are the easy impact category - don’t make my life more difficult!"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "\\*Unfortunately not"
},
{
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"cell_type": "markdown",
"source": "# Emissions happen over time and might be variable"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Life cycle methane emissions from a natural gas power plant"
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "<img src=\"https://www.dropbox.com/s/yczhd3moqqlwqih/Methane%20emissions.png?raw=1\"/>"
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "# Biogenic uptake and emissions happen at different times"
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "<img src=\"https://www.dropbox.com/s/1qzkqu8mkl984jd/Bio%20emissions.png?raw=1\"/>\n <p style=\"font-size:15px\">Cherubini, F., Guest, G. & Strømman, A. Application of probablity distributions to the modelleing of biogenic CO2 fluxes in life cycle assessment. Global Change Biology 4, 784–798 (2012).</p>"
},
{
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"cell_type": "markdown",
"source": " <p style=\"font-size:15px\">Cherubini, F., Guest, G. & Strømman, A. Application of probablity distributions to the modelleing of biogenic CO2 fluxes in life cycle assessment. Global Change Biology 4, 784–798 (2012).</p>"
},
{
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"cell_type": "markdown",
"source": "# GWP is just a ratio of cumulative radiative forcing"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "## My solution: directly compare forcing and cumulative forcing"
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "# Basic math to calculate radiative forcing"
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "## Every emission decays according to a response function"
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "<img src=\"https://www.dropbox.com/s/hvvo8evkut8hauv/IRF.png?raw=1\"/>"
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "## Mass of a species in the atmosphere is calculated using a convolution of the emission and response functions"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "$$RF(t)=RE \\int_{0}^{t} g(t')y(t-t')dt'$$"
},
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"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"cell_type": "markdown",
"source": "# ghgforcing"
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},
"cell_type": "markdown",
"source": "- An open-source Python package\n - github.com/gschivley/ghgforcing\n - `pip install ghgforcing`\n"
},
{
"metadata": {
"slideshow": {
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}
},
"cell_type": "markdown",
"source": "- Calculates RF, CRF, and temperature for CO<sub>2</sub> and CH<sub>4</sub>"
},
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"metadata": {
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}
},
"cell_type": "markdown",
"source": "# Code has been used in several papers"
},
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"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "<img src=\"https://www.dropbox.com/s/i6f5xidfkkm0hbw/Journal%20paper%201.png?raw=1\"/>"
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "<img src=\"https://www.dropbox.com/s/i2py5tan39cfiad/Journal%20paper%202.png?raw=1\"/>"
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "<img src=\"https://www.dropbox.com/s/cdf6bkyyzada6ja/Journal%20paper%203.png?raw=1\"/>"
},
{
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"cell_type": "markdown",
"source": "# Basic use and parameters"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "- Array of `emissions` \n- Array of `time` (same length as `emissions`)\n- `kind` of calculation (RF, CRF, or temp)\n"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "Functions return results on annual basis over length of time array\n"
},
{
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"cell_type": "markdown",
"source": "# Examples"
},
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"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "## 1 kg generic emission every year for 50 years"
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"source": "end_time = 100\ntstep = 0.1\n\n# Define time array\ntime = np.linspace(start=0, stop=end_time, num=int(end_time/tstep))\n\n# Define emission array\n# Same size as time, all values = 1\nemission = np.ones_like(time)\n\n# Set second half = 0\nemission[500:] = 0",
"execution_count": 192,
"outputs": []
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "## Forcing from 50 kg/yr CO<sub>2</sub> and 1 kg/yr CH<sub>4</sub>"
},
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"slide_type": "fragment"
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"cell_type": "code",
"source": "from ghgforcing import CO2, CH4\n\nco2_rf = CO2(emission * 50, time, tstep=0.1, kind='RF')\n\nch4_rf = CH4(emission, time, tstep=0.1, kind='RF')",
"execution_count": 193,
"outputs": []
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "# Basic results are returned as a numpy array"
},
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"slide_type": "fragment"
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"collapsed": false,
"scrolled": false
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"cell_type": "code",
"source": "co2_rf[:50]",
"execution_count": 194,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "array([ 8.78000000e-15, 9.33203779e-14, 1.72715592e-13,\n 2.47903274e-13, 3.19629894e-13, 3.88490311e-13,\n 4.54959119e-13, 5.19415501e-13, 5.82162926e-13,\n 6.43444773e-13, 7.03456711e-13, 7.62356517e-13,\n 8.20271863e-13, 8.77306484e-13, 9.33545076e-13,\n 9.89057174e-13, 1.04390024e-12, 1.09812208e-12,\n 1.15176282e-12, 1.20485642e-12, 1.25743188e-12,\n 1.30951424e-12, 1.36112533e-12, 1.41228440e-12,\n 1.46300857e-12, 1.51331325e-12, 1.56321245e-12,\n 1.61271899e-12, 1.66184474e-12, 1.71060073e-12,\n 1.75899733e-12, 1.80704429e-12, 1.85475088e-12,\n 1.90212591e-12, 1.94917779e-12, 1.99591461e-12,\n 2.04234412e-12, 2.08847380e-12, 2.13431087e-12,\n 2.17986230e-12, 2.22513484e-12, 2.27013503e-12,\n 2.31486922e-12, 2.35934357e-12, 2.40356404e-12,\n 2.44753645e-12, 2.49126643e-12, 2.53475948e-12,\n 2.57802093e-12, 2.62105596e-12])"
},
"metadata": {},
"execution_count": 194
}
]
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"cell_type": "code",
"source": "plt.plot(co2_rf, label='50kg CO2')\nplt.plot(ch4_rf, label='1kg CH4')\nplt.legend(); sns.despine(); plt.ylabel(r'$W \\ m^{-2}$'); plt.xlabel('Year')",
"execution_count": 195,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "<matplotlib.text.Text at 0x1224d3990>"
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"metadata": {},
"execution_count": 195
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"output_type": "display_data",
"data": {
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19bm/51jG+Y7s0HPmtEml1vDuxgiik+tasDzzYAB9vDrm6llvS3ci\nM84Sm995A+VlOjoKBvrbMdDfjqy8MvaEJbH/RApFpdWcvJjNyYvZWJsZMTLQjVGBrtjKXctb3m23\n3Ya9vT3Lli3jxIkTuLm5kZWVxb59+zA0NOSFF17Qdomdhgx5X4UMeQttis6N56PjX5JdlguAr1V3\n5g5+TBbdtIBGo2HND2fYfSwJgBnjehJ6h5d2i2qBM1kXefO3lQB8PvFduhreWo3Ba2pVhJ3N5Jdj\nSfU7GwEoFNDfx5bRQW4E9rCXuZa3sMzMTNauXcvRo0dRKpWYmZkxePBg5s2bh6enp7bL6zTkDqUQ\n7VCtWsXW8z+z/eJeNBoNugodpvQaz71+o6WnZAttPRhbHybH39adScM79g8UL0t3FCjQoCEuP4l+\nDj21XdJNpa+ny7D+zgzr70xqdgn/+yOZgydTKS6rJjJaSWS0ErOuBgwPcGFkoCvuDt20XbK4yRwc\nHFi8eLG2y+j0JFAK0c5klebw4bH1xBckA+DUzZ4nB8/oFCt4te3gydQGjctnTejV4edPGRt0wamb\nPWnFmcTkJd5ygfLvXOxMmTWhF4/d488f57PYezyZqJgcikqr+fFwPD8ejsfL2YyRg1wZFuAsfS2F\naEUSKIVoR46nRrLmxAYqaioBuMf7Dh7qMxEDWXTTYlExSlZ+dwoAf3dLnusAjcuvlZeVO2nFmR26\nwXlr0tfTJaSvEyF9ncjKK+PgyVQOnEhBWVBBXFoRcWln+eyn8wzuac+dA10I8LOV3XiEaCEJlEK0\nAzWqGjae3s7u2EMAmBqY8GTQjFv6blNrSswo4u0vT6BSa3C27cr/zRqMYQdoXH6tfKw8+DUxjNj8\nJDQaTYe/69qa7K1MeGiMHw+O8uVsfC77w1M4diaD6lp1/TaPZl0NGNbfmTsHuODpbCZ/fkLcAAmU\nQmiZsjSXFWGfEZ9fN8TtZ+3J08GzsDK20HJlnUNOQQWLPj1ORVUtFqaGLHo8uNMNdXpZ1rUOKqsu\nJ7NUKYu2mqCjo6Cvtw19vW34V2gfjp7O4FBEKucT8igqrWbnkQR2HknA2bYrwwc4c3t/Z+ytbq0F\nTkK0hARKIbToVOY5VoZ9TllNBQAT/cfwQK/x6Eo7oFZRWlHDos/CyC+uxMhAl9dmB3XKBtguZg4Y\n6hlSVVtFbG6iBMqrMOmiz5ggN8YEuZGVV8ahiDQOnUwlM6+MNGUpG3dfYuPuS/i7WzJ8gDND+zhi\n1tVQ22UL0a5JoBRCCzQaDT9d2se3Z3agQUNXAxMWDJ5OgGMvbZfWadTUqnj7i3BSskrQ0VHwn2mD\n8HI213ZZbUJXRxcvSzfOK2OIzU/kdo8gbZfUYdhbmTB1tC8PjvLhUlIBv0amciQqg5Lyai4m5XMx\nKZ9Ptp+ln48Nw/o7E9TLHmMjfW2XLUS7I4FSiJusuraatSc2cjTlBFC3483CkH9hY9J4azBxY9Rq\nDR9ujuJsfF3/zvn39WWAX+e+a+dl6V4XKGVhzg1RKBT4e1ji72HJ4xN7Exmt5LeINI6fz6K6RkXE\nJSURl5QY6OkwsIcdw/o7M9DfrlPNxRWiJSRQCnET5Zbn8+7RdSQUpAAQ7DKAuYGPYqQnw2mtacPu\ni/x2Kg2AB0f5Mnqwm5YranuXt2BMKUynqrZatuNsAT1dHQJ72BPYw57yyhrCz2fx26l0TkUrqa5V\nc+xMJsfOZGJkoEtgT3tC+joxwM8WAwmX4hYmgVKImyQmN4Hlv6+jqLIYBQoe7D2Bif5jZEVpK9t9\nLJGtB2MBGDHIhYfG+Gq5opvjcqBUadQkFqTgZ9Nxd/9pT4yN9Bk+wIXhA1woKa/m2JkMDp9K51x8\nLpXVKg6fSufwqXS6GOoxuJc9IX0c6e8r4VLceiRQCnEThKdF8eHxz6lR1dBFz4gng2Yw0KmPtsvq\ndMIvZLH2hzMA9POxYcH9/W6ZwG7RxQxrY0tyy/OJzUuSQNkGTI0NGBPkzpggdwqKKzl2NpMjUelc\nSMyjoqqWXyPS+DUijS6GugzqYc/QPo4E+NliZCA/akXnJ9/lQrSx3TGH+PLUFjRosDG25KVhC3A2\nc9B2WZ1ObGoB72w4iVoD7g7deGnaoFuuWbW3lQe55flE58UznpHaLqdTs+hmxNihHowd6kFeUQXH\nzmRy9HQ6F5Pyqaj6686loYEuA/xsCe7tyCB/O0y6yIIe0TlJoBSijag1ajae3s7P0fsB8LBw4aXb\n5mPexUzLlXU+2fnlLFn/B1XVKqzNjFj0eNAtuRLX17o7YakRROfES4Pzm8jKrAvjb+vO+Nu6k19c\nSdiZDH4/k8n5hFyqqlX1cy71dOt6YQb3dmRwT3vMTWXutOg8JFAK0QaqVTWs/uMrwlIjAOhn34Pn\nhjyOkb6RlivrfErLq1n0aRiFJVUYG+nx+uPBWJl10XZZWuFv4w1AUVUJWaU5OJjaarmiW49lNyPG\nhnRnbEh3CkuqCDuXyfGzmZyOzaFWpalfLb56a90WoEG9HBjcyx5H667aLl2IFpFAKUQrq6ip5L9H\nPuZCTt3CkDs9hjB74EPoSbPyVldTq+LNL8JJU5aiq6PgpWmDcHfopu2ytMbVzJEuekZU1FZyKSdO\nAqWWmZsacnewO3cHu1NaUcOJC1mEnc0k4pKS6hoVFxLzuZCYz+c7z+Nqb8rgnvYE9XLAy9kcnU6y\nz7y4dUigFKIVlVaV8fbhj4jLTwJgSq/xTO5xtww9tgG1WsMHm09xPiEPgAX396Ofz60doHR1dPGx\n9uB01kUu5cZzR/ch2i5J/KlrF33uGODCHQNcqKyuJSomh+PnMgk/n01JeTUpWSWkZJWw5UAsFqaG\nBPasa1vUx9taFvWIDkG+S4VoJUWVxbz560qSi9JRoGDWgAcZ7TVM22V1Whv3XOTwqXQAHhrty8hA\nVy1X1D74WnvVBcqcOG2XIpphZKBHUC8Hgno5oFKpuZCUz/FzmfxxLovs/HIKSqrYezyZvceTMdDX\npZ+3DYN62DGoh90tO51DtH8SKIVoBXnlBbzx64dklGSjUCiYHziNYe6DtV1Wp7X3eBJbDvw5pWCg\nCw+OvjV6TV4LP2tPADJLlRRWFmNudOtOAegIdHV16O1pTW9Pa2ZP6EVKdgnh57P443wWMSkFVNeo\nCL+QRfiFLAC6O5nVhUt/O7xdLGRoXLQbEiiFaKHs0hyW/PohOWV56Oro8nTQTIJcArRdVqcVcSmb\nj7fV9Zrs6219S/WavBbeVh7oKnRQadRE58Yz2Lm/tksS10ihUOBm3w03+27cP8KHgpJKTl7I5sTF\nbE5FK6msVpGQXkRCehHf7YvBrKsBAb62DPS3o7+vLabGsjuS0B4JlEK0QFaJkkWHVpBfUYi+rj7/\nHvIEAY69tF1Wp5WYUcR/vz6BWq3B1d6U/0wLRF/v1uo1eTWGegZ0t3AlNj+JSzkSKDsyC1MjRg12\nY9RgN2pqVZyNz+PEhSzCL2SjzC+nqLSaQxFpHIpIQ0cBvm6WDPCzJcDPFk8nWdgjbi4JlELcIGVZ\nHot//YD8ikIM9Qx5MWQuvexk6LWt5BZWsPiz41RUqbAwNeT12UF0lSbRTfK18aoLlLkyj7Kz0NfT\nJcDXlgBfW56YqCFNWUrEpWxOXszmfEIetSoNF5PyuZiUz8Y9lzDrakB/X1sG+NnR38cGs67S81K0\nLQmUQtyAvPIClhxaQV55AYa6Brw8bH59D0DR+sora1j82XHyiioxMtDltdlB2FoYa7usdsvP2pOf\no/eTWJBKZW0VRnoSJjoThUKBi50pLnamTLzdi/LKGk7H5tT3uMwtrKCotLp+K0iFAjydzOjva0t/\nX1v83Czlzr5odRIohbhOBRVFLDn0AcqyPPR19XnhtrkSJttQrUrNf78+SVJmMToKeOHRgXg5m2u7\nrHbt8sIctUZNbF4ive38tFyRaEvGRvoE93YkuLcjGo2G1OwSIi4pibyk5FxCHrUqNXFpRcSlFbHl\nQCxdDHXp7WlDP5+6L2fbrjIPWbSYBEohrkNxZQlv/PohmaVK9HT0WDh0jvywbkMajYa1P5whMloJ\nwBOT+jCoh72Wq2r/uhmZ4mRqT3pJFpdy4uR79BaiUChwte+Gq303Jg33orKqlnMJeURG1wXM9JxS\nKqoarhy3NjOin48t/Xxs6ONtjYWp7Oglrp8ESiGuUWlVGW/8+iFpxZnoKnR4dshs+jn01HZZndoP\nh+LYezwZgIm3ezJ2qIeWK+o4fG086wJlbry2SxFaZGSox0B/Owb62wGgzC/nVIySUzE5nInNoaS8\nhtyiSvafSGH/iRQA3B260dfbhr7e1vTsboWxkcxVFlcngVKIa1BdW81/j3xc17RcoeCp4JkMcuqr\n7bI6taOn0/ly1wUAgns7MGOchPfr4WftycGE34nJS0SlVqErW38KwNbSmDFB7owJckel1pCQXkhU\nTA5RMTlcSMynVqUmKbOYpMxifjwcj66OAh9XC/p4WdPX2wZfNwsM9OV7STQmgVKIq1CpVXxw/HOi\n8xIAmDfoMYJdBmi5qs7tUlI+738bCYCPqznPPRQgLVCuk5+NFwBVtVUkF6bR3dJNyxWJ9kZXR4G3\niwXeLhbcP8KHyupaLiTmcyY2h6jYHBLSi1Cp/1o9/t3+GAz0dPD3sKS3V10zdm8XC1ngIwAJlEJc\nkUajYX3EZk6mnwbg4T6TuN0jSMtVdW6ZuWW88fkf1NSqsbU05tWZg2Uv4xtgZ2KNhZEZBZVFXMyJ\nk0AprsrIQK++NRFAcVk1Z+NzORObw5m4XNKUpVTXqjkdm8vp2FwADA108Xe3pI+XNb26W+PlYi4B\n8xYln9JCXMG2C7+wP+EoAHd738EEv1FarqhzKymvZvFnxykuq8akiz6LZgfJAoEbpFAo8LXx5Hhq\nJJdy4xnrO0LbJYkOppuJAUP7ODK0jyMAeUUVnI3L5cyfX9n55VRVq+qHzOHPgOlmSS9PK3p5WuPj\nao6+ngyR3wokUArRjAPxR/n+3M8ABLsMYFr/+6S1RhuqqVWz9MsTpOeUoquj4OXpg3CxM9V2WR2a\nn/VfgVKj0cj3r2gRK7MuDB/gwvABLkDdAp+z8bl1X3G5KAsq6gLmn0PmAAZ6Ovi4WdCzuxW9ulvh\n52aJkaFEj85I/laFaEJExlk+jdgEQE9bHxYMnoaOQoZx2opGo+GjLVGcja8bRltwfz/6eNlouaqO\nz8+6bh5lUWUx2aU52Jvaarki0ZnYWhozwtKVEYNcAcjOL+dcfC7n4vM4l5BLVl451bXquv+Oz+M7\n6uZtejqb0cPD6s8vS9nFp5OQQCnEPyQXpvFB2HrUGjVuZk4sHPov9HWlbUZb+n5/DAdPpgLwwEgf\nRga6armizsHN3IkuekZU1FZyKTdeAqVoU3aWxtj9LWDmFFRwPjGP8wl1X6nZJajUGmJSColJKWTH\nb3UtrVzsutaHS393K+ytjOVuegckgVKIvymuLOGdI2uoqq3CwsiMl4YtwNigi7bL6tR+i0xj455L\nAAzr58TDd0kT7taiq6OLj7UHp7MucjEnjuEewdouSdxCbCy6MNzCmeEBzgAUlVZxITGPcwl5XEjM\nJyG9CLVaQ2p2KanZpfU9Z81NDfF3t/wzYFrS3UkW+nQE7TpQJicns3LlSsLCwiguLsbW1pa77rqL\nBQsWYGx89X189+7dy7p160hMTKRr167cc889PP3009d0rbj11Kpqeff3deSU56Ovq8/CkH9haSxb\n/LWlC4l5fLD5FAD+7pY8/WB/uTPRynytvTiddZFLOXHaLkXc4sy6GtZvEQlQUVVLdHI+5xPyuZCY\nR0xKAZXVKgpLqgg7m0nY2Uygbh6ml4s5/u6W+Llb4udmibmpDJO3N+02UCqVSqZMmUJJSQkjR47E\nycmJyMhI1q9fT0REBBs2bMDAwKDZ67du3corr7yCp6cnDz/8MHFxcXz55ZecO3eOr776Cj29dvvW\nhRZoNBo+jdhUv6vI3EGP4mXlrt2iOrnM3DLe+iKcWpUaBysTXpkRKA2T20CPP/eZzyxVkl9eKL8k\niXaji6Hen1s+1k3FUKnUJGYUcyEpj4uJ+VxIzCe/uJLqWjUX/vzvy+ytjPFzs8TXzQJfNws8HM3Q\n05W7mNrUblPVsmXLKCwsZN26dQwfPhyo+6G/aNEiNm/ezLZt25g6dWqT15aWlrJ06VJ8fHzYsmUL\nRkZ1bUdWrlzJ6tWr2bFjB/fdd9/NeiuiA/gl5iCHEo8BENrjLkLcBmm5os6t9G/tgbp20ee12YNl\nYn4b8bZyR19XnxpVDeeU0QxzH6ztkoRokq5u3Z1ILxdzJtzmiUajIaewgkt/Nla/lJRPQkYxarWG\nrLxysvLK+TUyDQADfV28nM3wcbWoD5rW5jJd6WZql4FSo9Fw9OhRevfuXR8moa6v2rx589i8eTNH\njhxpNlDu3LmT0tJSZs2aVR8mAebMmcNXX33Ftm3bJFCKelGZ5/n69DYABjn1ZUqv8VquqHOrqVWz\n9Ku/twcKxNlW2gO1FX1dffysu3M2O5rzyhgJlKLDUCgU2FoYY2thzLD+dfMwK6tqiU0r5FJSPtHJ\nBUQnF1BYWkV1jepvdzHrRposuxnh62aBt4s5vm4WeDmby77kbahdBsqqqirmzp2LtbV1o2P6+nXf\nDOXl5c1eHxERAcCgQQ3vMhkaGtKnTx/++OMPqqurrzhkLm4NWaU5fBC2Ho1Gg5uZE08Oni7tgdqQ\nRqNhzbbTnIm73B6oL729Gv87F62rp63vn4EyWtulCNEiRoZ69Pas2/YR6j5TsvPLuZRcQExKAdHJ\ndYt9alUa8osrG8zFVCjA2dYUH1fzP7ecNMfDsZs0Xm8l7TJQGhkZMWPGjCaPHThwAAAvL69mr09N\nTUVfXx8HB4dGx5ycnFCpVKSnp+Ph4dE6BYsOqbq2mvd//4TymgpMDUx44ba5GOnLrixtaduhOPaF\npwBw/whvRgbKdoA3Qy9bXwCUZXkoy/KwNbHSckVCtA6FQoG9lQn2Vib1q8mra1QkZBQRk1zwZ4ui\nAjLzytBoIDW7hNTsEg6cqGtTpqerg7tjN7xdzPFxMcfLxQIX267oynzM69YuA2Vz8vPzWblyJQqF\ngsmTJzd7XmFhISYmJujoNP6GMDWtG1orKSlpszpFx/DFqS0kFaahQMGTQTOxkR+yber30xl8tesC\nAEP7OvLIXf5arujW0d3SDUM9Q6pqqzifHY1t9yHaLkmINmOgr4ufW91q8MuKy6qJTS2oC5mphcSm\nFlBUWk2tSk1caiFxqYXs/tv1nk5mdfM5nc3wdDbH2dYUXR3pQHElHSZQlpWVMXfuXJRKJdOnT8ff\nvzFjFNMAACAASURBVPkfRrW1tc0OZ18eMq+urm6TOkXH8FvicQ78uUf35J730M+hh5Yr6txiUgp4\n/9u6qSi+rhY8OzUAHflwvmn0dHTxt/YkKusC55Ux3CGBUtxiupkYMMDPjgF+dkDdUHlOQQWxqXV3\nMOPSColLK6S8spbqGhUX/1wIdJmhgS7dHc3wdDbDy9kcT2dzuZP5Dx0iUBYXFzNnzhyioqIYNmwY\nCxcuvOL5RkZGzc6xrPl/9u48PMrq/P/4eyaTfSMJCYTsEJYkhCXsqwgICAKCKCoiilWqtG61rdr+\n2lq1Vlu1VbSoVdQqoCzihrKLyk4CCSQhCYSQfYPs+8w8vz+GRPkCGkKSMzO5X9fFpc7wzHyikbnz\nnHPuu6kJQHpRdmHZ5Xm8Fb8agNgeA1gQPVNxIvtWXFbLM+8coNFoxt/HlT8sHYmztAfqdDEB/Tla\nmMLx4jSZ6y26PJ1OR4CvGwG+bowbbOmLaTZrFJytIeP8HcuTueVk5pVT12CiofHiItPJYFku7xPU\njd5B3vQO8iY80KvLtj+z+oKypKSEpUuXkp6ezvjx43n11Vd/toekl5cX2dnZl/xDs3mpu3npW3Qt\ndU31vLT3LRpNTfi6duOh0UsvuTVCtI/a+iaefvsAZVUNuDob+PM9o/HxlH2qKgzsYdlHea6unMLq\nEgJlDKMQF9DrdQT5exDk79GyH9Nk1sgvqeZUbjkncyvOF5kV1DUYaTSaW8ZI/vg1QgI8zheY3egd\n5EVEL2883ez/ELBVF5T5+fksWbKE7Oxspk2bxosvvtiqk9nh4eEkJCRQXFxMjx49LnguNzcXFxeX\nSx7YEfZN0zRWHvqA/KoiHHR6Hh7zC7xc5AeLjmIya/zjg3iyCirR6+D3dw4nLNBLdawuK6JbCG6O\nrtQ21ZFcnCYFpRCt4KDXEdLDk5AenkwaFgJY7mQWnqvhVG4Fp3LLLX/Nq6CqthGzWeNMYRVnCqvY\nFZ/b8jr+Pq707uVNRC9vInpZiswevm52tfXHagvKyspK7rnnHrKzs5k/fz7PPPMMDg6tu40cFxfH\nxo0biY+PZ+bMH5YzGxoaSEpKYuDAgTIppwvakfk9+3Is+/gWDZ7PAP8+ihPZt3c+P87h1CIA7r0x\ntmXvklBDr9cT5R9JfP4xjhelMbXPBNWRhLBJer2OXt096NXdgwlDggDLDYvS8noy8yx3ME/lVZCZ\nX0FJWR0AJWV1lJTVcSC5sOV1XJ0NhAd6EX6+wIwI9CK0p6fN9sq02qrqr3/9K5mZmcyaNYu//e1v\nV7TfZ+rUqfztb39j5cqVTJo0qWW/5BtvvEFNTQ0333xzR8UWViq/qoj3jqwHYHjQYGb1m6w4kX37\nau9pPvs2E4BZ4yK4YXxvxYkEWNoHxecfI7kkQ/ZRCtGOdDod/j6u+Pu4MmrgDyug1bWNnM6vJDO/\ngsw8y6/c4iqMJo26BuNF+zLBMlYyPNCLsEAvS8EZ6EVgdw+rP2VulQXlqVOn+OKLLyybZgMCWLFi\nxUW/JzAwkAULFpCamsr27duJiopi6tSpAPj4+PDoo4/yzDPPMG/ePKZOncqpU6fYtWsXo0eP5oYb\nbujsL0koZDSbeHXfKhpMjfi4ePPLEXfIB2kHOpJWzMpPjgEQNyCAe+cOVJxINIs534+yor6SvMpC\ngr1l648QHcnDzYnYyO4XDHBoMprJLa7idH4Fp/Mrycqv5HRBBRXVlu4zzWMl9x//4W6mk0FPSE9P\nwnpaCsywnl6EBXri6+ViNZ9nVllQ7t+/H03TAFi1atUlf09cXFxLQblixYqWwrHZ4sWL8fT05J13\n3uH999/H39+fpUuXsnz5clnu7mLWJ3/BqbIzANw/8k68nD0UJ7JfOUVVPP/+IcxmjdCenvzujuHS\nVsOKhHbrhaeTO1WNNRwvTpOCUggFHA3683spvS94vKyqnqz8SrIKKjmdX8GZgiqyi6owmsw0Gs3n\n92xWXHCNh6sjYYFeLJzaj6H91e6L1mnNlZu4pNzcXKZMmcKOHTsIDg5WHUdcoRMlJ/nzrpfQNI3r\n+17L3XG3qI5ktyqqG/jtK99RcLYGbw8nXnzoGnr4Snsua/PPPW9wMPcoI4OH8Ni4ZarjCCF+gslk\nJr+0hqwCS6F5pqCSM4WVFJ69sDXi0H7+/HWZ2v6ycqtO2K3axjpe3b8KTdMI8Qpk0aAbVUeyW01G\nM8+9d4iCszUYHPQ8eddIKSat1MCA/hzMPUpKcQZmzSyz64WwYg4O+pZT5s0HgADqG4xkF1WRXVhJ\n0bk6xg5Sv9ogBaWwW28nrKWk9hwGvYFfj16Kk8H++4CpoGkar69PJDnzLAAPLhxCdISMsbRWzXO9\nqxtryC7PI9wnRHEiIcSVcnE20C/Uh36hPqqjtJAfTYVd2psdz3dnDgJwW+xcwn1ku0JH+eSbk2w/\nlA3ALVP7ce0wKVCsWZBXT7xdLP1AjxenK04jhLAXUlAKu1NZX8XbCWsBy92YWf2lRVBH2X+8gHe/\nTAFg3KBeLJo+QHEi8XN0Oh0xAf0ASC5OU5xGCGEvpKAUduedIx9T1VCNi8GZ+0culj1iHSQzr4IX\nP4xH0yAy2JuHbxtqV1Mf7NnA8wVlSkkGJrNJcRohhD2QT1phVw7nJbI3+zAAtw+6EX932cvXEcoq\n63n6nQPUN5rw9XLhj0tH4eIkW7JtRfM+yrqmejLLshWnEULYAykohd2oaazlrcNrAIjyj2Ra5ETF\niexTY5OJZ1cdpLS8DidHB/64dCR+3q6qY4kr0MPDv+WHrcTCFMVphBD2QApKYTf+d3QDZfUVODo4\nsmzEHbLU3QE0TeOVj46Sll0GwCO3DaVviPWcMhSto9PpGNwjCoDEAikohRBXTz5xhV1IKkxl5+m9\nANwScwO9PHsoTmSfPt6Rzu4juQAsmjGA8YODfuYKYa0GB0YDkHEui5rG2p/53UII8dOkoBQ2r76p\nnjcOfwhAb59Qbug/RXEi+7Q3KZ8PvjoBwMQhQSyc2k9xInE1YgMGoNfpMWtmjstpbyHEVZKCUti8\ntcc+o6TmLA46PfePXIyD3kF1JLtzKrecl9YkANAvtBsP3joUnU5OdNsyNydX+vpFALLsLYS4elJQ\nCpt2uiyHr05+A8C86BmEdZMG5u2trLKeZ945QEOjCT9vF/5w9yicHaVotweDe1qWvRMLU9A0TXEa\nIYQtk4JS2CyzZubt+LVomkZPD3/mRc1QHcnutJzorqg/f6J7FL5eLqpjiXYyuKflYE5J7TkKqooU\npxFC2DIpKIXN+ub0ftLPZgKwNG4hjg6OihPZF03TeHXdDye6H70tjsjgbopTifbUxycMDyd3AI5K\n+yAhxFWQglLYpOqGGj5M+gSAkcFDGBIYoziR/dmw6yTfxFtOdN8+fQDjBvdSnEi0N71eT2wPy7jM\npMJUxWmEELZMCkphk9Ye+4yqhmqcHBy5a8jNquPYnQPHC3h/s+WO1fjBvbj1OjnRba+a91EmF6fT\nZGpSnEYIYaukoBQ2J/PcGbad+g6Am6Jn0t3dV3Ei+5JVUMk/fzSj+yE50W3XmvdRNpgaSSs9pTiN\nEMJWSUEpbIpZM/Pf+LVoaPTy7MHs/lNVR7IrFdUNP5rR7SwzursAPzcfgr0CATgqy95CiDaSglLY\nlF2Zezl5LguwHMQxOEix016ajGaee+8QxedqcTTo+cPdo2RGdxfx4/ZBQgjRFlJQCptR3VjD6qRN\nAIwOiWPQ+aU6cfU0TeONT5JIzjwLwIO3DKFfqMzo7iqaC8oz5bmU11UoTiOEsEVSUAqbsTHla6oa\na3B2cOLOITepjmNXNu85zZb9ZwC46dpIJg0LUZxIdKZo/8iWtltJRScUpxFC2CIpKIVNKKou4euM\nbwCYPeA6urvJQZz2kphewpufHgdgRHQPFs+MVpxIdDYngxPR/pGA9KMUQrSNFJTCJqxO+hSj2Ug3\nFy/myEGcdpNfWs3f3z+E2awR2tOTxxYNw0EvJ7q7okE9LD9IJBWmYNbMitMIIWyNFJTC6qWXZrIv\nJx6AW2Pn4OIoo//aQ219E8+8c5DquiY83Rz5f0tH4eYi04a6qub2QZUN1WSV5SpOI4SwNVJQCqum\naRrvH90AQKh3EJPCxyhOZB9MZo1/fhhPTlEVer2Ox5eMoKefu+pYQqEQ7174ulpGax4tTFacRghh\na6SgFFZtf25Cy7zuxUPmo9fLt2x7+PDrVA6lFAFw39yBDIr0V5xIqKbT6RgaOBCA+PxjitMIIWyN\nfDoLq9VkamJ1oqVN0OCe0S2tTcTV2Z2Qy7odGQBMHx3GzHERihMJazGsVywAJ89mUVFfqTiNEMKW\nSEEprNaWk7spqilFp9OxePB81XHswsmccl756AgA0RG+LJs3SMYqihaxPQbg6OCIhsaRAln2FkK0\nnhSUwipVN9SwIXkzANdGjCW0W5DiRLavrLKeZ1cdoNFoxt/HlSeWjMTRIH8EiB84G5yIDegPwOH8\nJMVphBC2RD5NhFXadGIrNU11ODs4sXDgbNVxbF6T0cRz7x2itKIeJ0cH/nj3KLp5OquOJazQsF6D\nAEgqTKXJ1KQ4jRDCVkhBKaxOeV0FX2fsAmBW/8n4uHorTmTbNE3jPxuSSM06B8DDtw6ld5D8OxWX\n1ryPst7YQEpJhuI0QghbIQWlsDqbUrfQaGrCzdGVG6SJ+VXbvOc02w5mA3DL1H5MGCLbB8Tl+bp1\nI6KbZfRmfJ6c9hZCtI4UlMKqnK0tY+up7wCY3X8qHk7SG/FqHDtZ2jJWcWR0TxZNH6A4kbAFw4Is\ndynj85PQNE1xGiGELZCCUliVjSlfYTQb8XRyZ2a/yarj2LSic7U8955lrGJIDw9+sygOvYxVFK3Q\nvI+ypPYcORX5itMIIWyBFJTCahRXl7Lz9F4A5kZNw1VGLLZZfYORZ1cdoKq2EXdXR/54t4xVFK0X\n4ROCj4tln600ORdCtIYUlMJqrE/ZjMlswtvFi+mRk1THsVmapvGvj45wOr8SvQ5+d8dwevl7qI4l\nbIhep2doL5maI4RoPSkohVXIryri26wDAMyLmo6zwUlxItu1fmcGexIty5RLZsUQNyBAcSJhi4af\nP+2dcfa0TM0RQvwsKSiFVVh//EvMmhk/Vx+m9pmgOo7NOpxaxP++SgXgmqHBzJvUR3EiYatie0TJ\n1BwhRKtJQSmUy6nIZ0/2YQDmRc/AyUH2+rVFXkk1//zgMJoGvYO8+dUtg2WsomizH0/NkWVvIcTP\nkYJSKLc+eTMaGv7ufkyOGKs6jk2qrW/i2VUHqKk34u3hxB/uHomLk0F1LGHj4s4veycWpsjUHCHE\nT5KCUiiVX1XE/pwEAG6Kvh6DgxRBV8ps1nhpdQI5RdXo9Tp+f+cIAnzcVMcSdkCm5gghWksKSqHU\nZ6lb0dDwc/VhYtgo1XFs0tptaRxILgTg3rkDie3TXXEiYS/83Hxkao4QolWkoBTKnK0tY/cZy8nu\nG/pPkbuTbbDvWAFrtqYBcN3IUGaNi1CcSNibYUGWJueH8hIxa2bFaYQQ1koKSqHM52nbMZlNeDq5\nM6XPeNVxbE5OURUvr4kHoH+oD7+cP0gO4Yh2Nyp4CABn68o4de6M4jRCCGslBaVQorKhmh2nvgfg\n+n6TcTE4K05kW2rqLIdw6hpM+Hg688RdI3BydFAdS9ihUO8gAj0svUyb9zsLIcT/JQWlUOKr9F00\nmBpxMTgzo+81quPYFLNZ48XV8eSV1GBw0PH4khH4ebuqjiXslE6nY1TIUAAO5B5B0zTFiYQQ1uiq\nC8qmpiby8/PbI4voIuqa6vk6YxcA0yIn4uHkrjiRbVmzNY1DKUUA3HdjLNERfooTCXs3KthSUBbX\nnCWrPFdxGiGENfrJgvLDDz9k6tSpDBo0iDlz5rBp06aLfk9KSgpTpkzpsIDC/mw79R01TXU46g3M\n6iffO1di37EC1m774RDOjDHhagOJLqG3Tyj+br4AHMiVZW8hxMUuW1B++eWXPP300wwePJiHHnqI\n0NBQnnjiCR588EEaGho6M6OwI42mJr5I2w7ANRFj8HH1VpzIdvzfQzj33ySHcETn0Ol0LXcp9+fI\nsrcQ4mKXLSjffvttli5dyosvvsg999zDihUreOedd4iPj+fOO++krKysM3MKO7H79H7K6yvR6XTM\nHXCd6jg248eHcLqdP4TjaJBDOKLzNO+jzK8qIreyQHEaIYS1uWxBefr0aa655sLDEmPGjOGjjz6i\nsrKSW2+9lZycnA4PKOyH2WzmsxNbARgXMpweHv6KE9kGs1nj5TUJ5JXU4KDX8fidcghHdL6+fhEt\nKwoHco8oTiOEsDaXLSjd3d0veRcyODiYtWvX4uPjw8KFCzl2rOOnJyQnJxMdHc3evXtb9fsPHTpE\n//79L/lr8eLFHZxWXM7h/CSKakoBmBs1TXEa2/HxjvQLJuHE9JZDOKLz6XV6RgZZelLuz5GCUghx\nocuOJomJiWH79u3MmDHjoue8vb159913efDBB3nmmWc6dB9XaWkpDz/8MCaTqdXXpKenA3Dbbbfh\n53fhh29QUFC75hOttzl9JwCxPfoT1i1YcRrbcDi1iNVbTgAweXgIM2USjlBodEgcW07uJrsij4Kq\nYgI9A1RHEkJYicsWlHPnzuX999+nvLycbt26XfS8i4sL//nPf/jLX/7Cnj17OiTcyZMneeCBB8jO\nzr6i69LS0tDpdDz22GN4eHh0SDZxZU6X5ZBSkgHATDnZ3Sr5pdX884PDaBr0CfbmgQWD5RCOUCqq\neyRezh5UNlRzIPcIN0ZNVx1JCGElLrvkPXPmTNauXXvJYrKZg4MDTz/9NDt37mz3YK+99hrz58+n\nqKiIuLi4K7o2IyODXr16STFpRZrvTvb08GdoYIziNNavrsHI31YdpKbeiJe7E08uGYmzTMIRiun1\neka0LHtL+yAhxA+sdlLOqlWriIqKYsOGDYwdO/aKrs3IyKBv374dlExcqfK6CvZkHwZgZr/J6HVW\n+21nFTRN45WPjnCmsAq9Dn63eDgBvm6qYwkB/NDkPLMsm+Kas4rTCCGsxRV/smdmZhIVFdURWS7w\n8ssvs3btWiIjI6/ouoKCAqqqqnB2duaxxx5j/PjxDBkyhLvvvpvExMQOSit+ytZT32E0G3FzdGVS\n+GjVcazept2n+D7RMn1qyawYBveV0/DCegzs0R93J8sPOAfltLcQ4rw23SrqjKa2EyZMaNN+seYD\nOVu2bKGgoIA5c+YwceJEDh48yB133MG+ffvaO6r4CY2mJra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v7Df5y3nSb1KIjhIT0J/w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\no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6mhQ4c6KrwOqbS0lPnz55Oens7MmTN58skncXNza9SnR48edO/enW+//bbJ/fVbMChv\nbWfGjBnNboOxYcMGsrKyWLRoEQEBAcqTg3l6ejJo0CCOHDlCbm5uo62DSkpKyMrKYsiQIcqTA3Xp\n0gWA06dPN2mz2+1kZ2cTHBysHDmRy8nFwIED8fT0bNe8acrbgaZNm0ZZWRkrV65suGa1Wnnttdfw\n8/MjPj7egdF1PE888QSpqalMnTqVpUuXNikm6yUkJJCamsqHH37YcO3cuXO88847hIeHM2rUqPYK\nucOZOXMmixcvbvJRvw3G3Xffze233w4oT442e/Zsamtr+etf/0ptbW3D9RdeeIHq6mqmT58OKE+O\nEhYWRnR0NDt37mxyDvTy5cspKSlp+BmkHDmPS82Fr68vkydP5ssvv2y08XxycjIff/wxo0aNanbb\nwpbQWd4OZLfbufnmmzl06BATJ04kMjKSbdu2kZaWxlNPPcWsWbMcHWKHkZKS0rCf4e23397kuS+A\n7t27M2vWLMrKypgxYwZZWVn8+te/Jjg4mH/+858UFRXx6quvMnbs2PYOv8O79dZb2bNnT6OzvJUn\nx6qtrWXhwoXs2LGDQYMGMWrUKA4fPszevXsZPXo0q1atwtXVVXlyoKSkJG677Taqq6uZNGkSoaGh\nHDp0iG+//ZYBAwbwzjvvYDablSMHePnll1m+fHmTs7wvJxeZmZlcd911VFRUMG3aNDw9Pdm4cSM1\nNTWsXbuWAQMGtGrMKigdrKysjBdeeIEtW7ZgtVrp3bs3//Vf/6XRyXb2zjvv8MQTT1y0T1xcHGvX\nrgXqnj969tln2blzJ9XV1URHR3PPPfcwevTo9ghXfqC5ghKUJ0ez2WysWrWK9evXN0yhJiQksGjR\nooYVq6A8OVJqairLly9n9+7dWCwWQkJCiI+PZ9GiRQ17G4Jy1N4uVFDC5eUiNTWVv/3tb+zZswdX\nV1diY2N54IEHGDhwYKvHrIJSRERERFpEz1CKiIiISIuooBQRERGRFlFBKSIiIiItooJSRERERFpE\nBaWIiIiItIgKShERERFpERWUIiIiItIiKihFRFrJn/70J/r37098fDxVVVUX7fvkk0/Sv39/brzx\nRmpqatopQhGRtqGCUkSklTz00EOEhYVx+vRp/vd///eC/b755hvefvttzGYzf8ja4lAAAATISURB\nVPvb3y54bryIyJVCBaWISCvx9fVl2bJluLq68uabb3LgwIEmfaxWK4888giGYfDYY48RFhbmgEhF\nRFqXCkoRkVZ01VVXcccdd1BbW8vDDz/cZOp72bJlZGZmMnXqVKZPn+6gKEVEWpcKShGRVnbvvfcS\nFRXVZOp79+7drFu3jh49erBkyZIm93366afceuutXHXVVcTGxpKQkMDKlSuprq5u0regoIBnn32W\nhIQEhg0bxuDBgxk3bhz3338/ycnJjfo+++yz9O/fn+3bt3PXXXcRExPD1VdfzebNm1v/zYtIh+Ri\nGIbh6CBERH5qjh8/zqxZszAMg/Xr19OrVy+uvfZasrOzWb16NcOHD2/U/8knn2T16tUEBwczYcIE\n/P392b17N8eOHWP48OG88cYbeHp6ApCbm8v1119PXl4e48ePp2/fvlRWVrJnzx5OnjyJ2Wxm8+bN\ndO3aFagrKFeuXElwcDABAQFcc801nDhxgqVLlzb0ERFpCXdHByAi8lM0YMAAFi9ezPPPP8/jjz9O\nXFwcmZmZ3HXXXU2KyW3btrF69WquuuoqXnvtNcxmMwCGYbBkyRLWrl3L8uXLeeCBBwBYsWIFubm5\nPPbYY9xyyy0Nr2MYBgsXLmT79u1s2bKF2267rUlc7733Hr6+vm34zkWkI9KUt4hIG7nzzjsZNmwY\nBw4c4PXXXycmJobFixc36ffOO+8A8MgjjzQUkwAuLi78/ve/x8PDg/fee4/6CaVp06bx+OOPM3v2\n7Eav4+LiwtVXXw3UTYn/0MSJE1VMikib0AiliEgbcXNzY9myZUyZMgWom3p2d2/6bTcxMRGAzz77\njO3btzdpN5vNFBYWkpGRQXh4OMOHD2f48OGUl5dz9OhR0tPTyczMJDk5mW+++QaA2traJq8TERHR\niu9OROQ7KihFRNpQr169Gj5vrqCrqanBYrEA8Morr1z0tYqLiwkPD8disfDcc8+xYcMGKioqgLot\niwYNGkR0dDS7du2iucfjvb29W/BOREQuTAWliIgDubm54eXlRW1tLQcPHrykTc4feOABduzYwaRJ\nk7j55pvp169fw+KaN998k127drV12CIijaigFBFxsIEDB7J//36OHTvG4MGDG7XZbDaee+45goKC\nmDt3LhaLhR07dtCzZ09WrFiBi4tLo/4nT54EaHaEUkSkrWhRjoiIg91www0ALFmyhOLi4kZty5cv\nZ9WqVezcuRNPT088PDxwcXGhrKyM0tLSRn23b9/Oxo0bAZrdu1JEpK1ohFJExMGmT5/OV199xYcf\nfsivfvUrJkyYQKdOndi/fz8HDhwgODiYv/zlLwD4+fkRHx/PJ598wowZM5g0aRLu7u4kJSWxZ88e\ngoODycvLo6ioyMHvSkQ6EhWUIiJOYNmyZYwZM4b333+frVu3Yrfb6datG3PnzmX+/PmNNiBfunQp\nERERfPLJJ6xbtw4/Pz9CQ0N58MEHmT17NmPHjuWLL76guroaDw8PB74rEekodFKOiIiIiLSInqEU\nERERkRZRQSkiIiIiLaKCUkRERERaRAWliIiIiLSICkoRERERaREVlCIiIiLSIiooRURERKRFVFCK\niIiISIuooBQRERGRFlFBKSIiIiIt8v8BQ/alQMhfJXkAAAAASUVORK5CYII=\n",
"text/plain": "<matplotlib.figure.Figure at 0x1229bbb50>"
},
"metadata": {}
}
]
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "## Cumulative forcing from 50 kg/yr CO<sub>2</sub> and 1 kg/yr CH<sub>4</sub>"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
},
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "co2_crf = CO2(emission * 50, time, tstep=0.1, kind='CRF')\n\nch4_crf = CH4(emission, time, tstep=0.1, kind='CRF')",
"execution_count": 196,
"outputs": []
},
{
"metadata": {
"trusted": true,
"collapsed": false,
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "code",
"source": "plt.plot(co2_crf, label='50kg CO2')\nplt.plot(ch4_crf, label='1kg CH4')\nplt.legend(); sns.despine()\nplt.ylabel(r'$W \\ m^{-2} \\ y$'); plt.xlabel('Year')",
"execution_count": 197,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "<matplotlib.text.Text at 0x122494f90>"
},
"metadata": {},
"execution_count": 197
},
{
"output_type": "display_data",
"data": {
"image/png": 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j5eVFt27dmD17NrNnz6Zly5a5z5T+8MMPhIeH39Jxe/fuTWhoKEuWLMHHx4eh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\nQ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"text/plain": "<matplotlib.figure.Figure at 0x121761890>"
},
"metadata": {}
}
]
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "## Temperature change from 50 kg/yr CO<sub>2</sub> and 1 kg/yr CH<sub>4</sub>"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
},
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "co2_temp = CO2(emission * 50, time, tstep=0.1, kind='temp')\n\nch4_temp = CH4(emission, time, tstep=0.1, kind='temp')",
"execution_count": 198,
"outputs": []
},
{
"metadata": {
"trusted": true,
"collapsed": false,
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "code",
"source": "plt.plot(co2_temp, label='50kg CO2')\nplt.plot(ch4_temp, label='1kg CH4')\nplt.legend(); sns.despine()\nplt.ylabel(u'\\u00b0 $C$'); plt.xlabel('Year')",
"execution_count": 199,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "<matplotlib.text.Text at 0x1021ba510>"
},
"metadata": {},
"execution_count": 199
},
{
"output_type": "display_data",
"data": {
"image/png": 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Dhw6le/funDhxgrVr13LixAnWr1+PlZUVeXl5ANjZ3diyYmNjA0BBQUGV9/j666/55ptv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\nKSIiIiI2p5ApIiIiIjb3/4ETiEVUpRm7AAAAAElFTkSuQmCC\n",
"text/plain": "<matplotlib.figure.Figure at 0x118eaefd0>"
},
"metadata": {}
}
]
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "# Support for irregular timeframes"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
},
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "years = np.array([2000, 2010, 2015, 2020, 2025, 2050])\n\nemission_irregular = np.array([-10, 2, 5, 20, 0, 0])",
"execution_count": 200,
"outputs": []
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
},
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "co2_rf = CO2(emission_irregular, years,\n interpolation='linear')\nplt.plot(range(2000, 2051), co2_rf)\nplt.ylabel(r'$W \\ m^{-2}$'); plt.xlabel('Year')\nsns.despine()",
"execution_count": 201,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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7BhDbLYBgf09NPJQmdfqg2qNHD/bu3UteXh4RERH1zmVnZ+Pl5WWbaNWjRw/2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\nAAAASUVORK5CYII=\n",
"text/plain": "<matplotlib.figure.Figure at 0x11ff92f90>"
},
"metadata": {}
}
]
},
{
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"cell_type": "markdown",
"source": "# Other calculation features"
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "## Methane with or without\n- Climate-carbon feedbacks\n- Decomposition to CO<sub>2</sub>"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "cc-feedbacks<br> | CH<sub>4</sub> → CO<sub>2</sub><br> | Equivalent 100-yr GWP<br>\n:---:|:---:|:---:\n✕ | ✕ | 28\n✕ | ✓ | 30\n✓ | ✕ | 34\n✓ | ✓ | 36"
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "# How different can CH<sub>4</sub> results be?"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
},
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "ch4_low = CH4(emission, time, cc_fb=False, decay=False)\n\nch4_high = CH4(emission, time, cc_fb=True, decay=True)",
"execution_count": 202,
"outputs": []
},
{
"metadata": {
"trusted": true,
"collapsed": false,
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "code",
"source": "plt.plot(ch4_low, label='Low')\nplt.plot(ch4_high, label='High')\nplt.legend(); sns.despine()\nplt.ylabel(u'$W \\ m^{-2}$'); plt.xlabel('Year')",
"execution_count": 203,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "<matplotlib.text.Text at 0x11b913250>"
},
"metadata": {},
"execution_count": 203
},
{
"output_type": "display_data",
"data": {
"image/png": 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ff85f/vIXNmzYwOLFP12numvXLkpKSvjFL35hwur6Z5YjlOZERijFaNLQ3sRb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\niR1/5o0j/6bT1KV2PCHOIgWlizFbzNSZywAYMihJ5TRCCOG4dG5aHlq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PUFTZwuufZHKy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\nRU5ErkJggg==\n",
"text/plain": "<matplotlib.figure.Figure at 0x1217a0590>"
},
"metadata": {}
}
]
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "## Uncertainty\n- Radiative efficiencies\n- Methane indirect effects\n- Methane lifetime\n- Fraction methane to CO<sub>2</sub>\n- Climate-carbon feedbacks\n- CO<sub>2</sub> response function\n"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "Return ± 1-sigma, or full monte carlo results"
},
{
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"cell_type": "markdown",
"source": "# Output basic uncertainty"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
},
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "co2_rf_uncertainty = CO2(emission, time, tstep=0.1, \n kind='RF', runs=1000)",
"execution_count": 204,
"outputs": []
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
},
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "co2_rf_uncertainty.head()",
"execution_count": 205,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": "<div>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>mean</th>\n <th>-sigma</th>\n <th>+sigma</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>1.728314e-16</td>\n <td>1.607377e-16</td>\n <td>1.849250e-16</td>\n </tr>\n <tr>\n <th>1</th>\n <td>1.808620e-15</td>\n <td>1.679025e-15</td>\n <td>1.938216e-15</td>\n </tr>\n <tr>\n <th>2</th>\n <td>3.327154e-15</td>\n <td>3.081241e-15</td>\n <td>3.573068e-15</td>\n </tr>\n <tr>\n <th>3</th>\n <td>4.770111e-15</td>\n <td>4.407597e-15</td>\n <td>5.132625e-15</td>\n </tr>\n <tr>\n <th>4</th>\n <td>6.158589e-15</td>\n <td>5.677846e-15</td>\n <td>6.639333e-15</td>\n </tr>\n </tbody>\n</table>\n</div>",
"text/plain": " mean -sigma +sigma\n0 1.728314e-16 1.607377e-16 1.849250e-16\n1 1.808620e-15 1.679025e-15 1.938216e-15\n2 3.327154e-15 3.081241e-15 3.573068e-15\n3 4.770111e-15 4.407597e-15 5.132625e-15\n4 6.158589e-15 5.677846e-15 6.639333e-15"
},
"metadata": {},
"execution_count": 205
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": false,
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "code",
"source": "plt.plot(co2_rf_uncertainty['mean'])\nplt.fill_between(range(101), co2_rf_uncertainty['+sigma'],\n co2_rf_uncertainty['-sigma'],\n alpha=0.3)\nplt.ylabel(r'$W \\ m^{-2}$'); plt.xlabel('Year')\nsns.despine()",
"execution_count": 206,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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dUmg4laJRATv2dKF7OB4EP3ZxJT62pjIjg2CBSYsllfkX3ETPQHhuNlcQh7sm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\nlAAAAABJRU5ErkJggg==\n",
"text/plain": "<matplotlib.figure.Figure at 0x12174b790>"
},
"metadata": {}
}
]
},
{
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"cell_type": "markdown",
"source": "# Caution with pulse emissions!"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "- ghgforcing was designed for continuous emissions\n- 1 kg at every timestep over a year is interpreted as 1 kg for the year\n- A pulse in the first step will be 1/tstep too small!"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "## ➞ Change tstep or multiply a pulse emission by 1/tstep\n"
},
{
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"cell_type": "markdown",
"source": "# easyghg if you don’t want to use Python"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "- Basic Excel interface\n- Uses ghgforcing for calculations"
},
{
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"cell_type": "markdown",
"source": "- github.com/gschivley/easyghg\n - Needs to be fixed after recent updates to xlwings \n - Let me know if this is something you’d like to use\n"
},
{
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"cell_type": "markdown",
"source": "<img src=\"https://www.dropbox.com/s/0ib4eoypa4bmpaz/easyghg.png?raw=1\"/>"
},
{
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"cell_type": "markdown",
"source": "# Contribute to development or log an issue\n- github.com/gschivley/ghgforcing\n- github.com/gschivley/easyghg"
},
{
"metadata": {
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