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Ice thickness inversion with frontal ablation: a case study
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
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\" align=\"left\">"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Ice thickness inversion with frontal ablation: a case study"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this notebook we are illustrating how OGGM searches for a frontal calving flux which is compatible with mass conservation, ice thickness estimation based on Glen's flow law, and the calving parameterization of [Oerlemans and Nick (2005)](https://www.cambridge.org/core/journals/annals-of-glaciology/article/minimal-model-of-a-tidewater-glacier/C6B72F547D8C44CDAAAD337E1F2FC97F).\n",
"\n",
"For more details, see [Recinos et al. (in review)](https://www.the-cryosphere-discuss.net/tc-2018-254/)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Set-up"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These are the usual OGGM workflow commands."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import seaborn as sns\n",
"sns.set_context('notebook')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import geopandas as gpd\n",
"import matplotlib.pyplot as plt\n",
"import oggm\n",
"from oggm import cfg, utils, workflow, tasks, graphics\n",
"from oggm.core import inversion"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"2019-06-10 11:21:46: oggm.cfg: Using configuration file: /home/bea/Hackathon/oggm/oggm/params.cfg\n"
]
}
],
"source": [
"cfg.initialize(logging_level='WORKFLOW')\n",
"cfg.PATHS['working_dir'] = utils.gettempdir(dirname='OGGM-Calving', reset=True)\n",
"cfg.PARAMS['border'] = 10"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pick a glacier "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we experiment with Leconte glacier (`RGI60-01.03622`). But you can try with other glaciers as well!"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"2019-06-10 11:21:52: oggm.workflow: init_glacier_regions from prepro level 3 on 1 glaciers.\n",
"2019-06-10 11:21:52: oggm.workflow: Execute entity task gdir_from_prepro on 1 glaciers\n",
"2019-06-10 11:21:52: oggm.workflow: Multiprocessing: using all available processors (N=4)\n"
]
}
],
"source": [
"gdir = workflow.init_glacier_regions(['RGI60-01.03622'], from_prepro_level=3)[0]"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"graphics.plot_centerlines(gdir, use_flowlines=True);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Let's first see the results of the inversion without calving:**"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"graphics.plot_inversion(gdir);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The basic principles"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We use a simple calving law borrowed from [Oerlemans and Nick (2005)](https://www.cambridge.org/core/journals/annals-of-glaciology/article/minimal-model-of-a-tidewater-glacier/C6B72F547D8C44CDAAAD337E1F2FC97F), which relates the frontal calving flux $q_{calving}$ to the frontal ice thickness $H_f$, the water depth $d$ and the terminus width $w$\n",
"\n",
"$$q_{calving} = k H_f d w$$\n",
"\n",
"With $q_{calving}$ in km$^3$ yr$^{-1}$, $k$ a calibration parameter (default 2.4 yr$^{-1}$) and $d =$ $H_{f}$ - $E_{t}$ ($E_{t}$ being the free board).\n",
"\n",
"As explained in [Recinos et al. (in review)](https://www.the-cryosphere-discuss.net/tc-2018-254/), ice conservation methods applied to tidewater glaciers *must* take into account this mass-flux at the terminus, otherwise the ice thickness is underestimated. In fact, the default OGGM ice thickness inversion procedure assumes an ice flux of zero at the terminus: "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'flux': -0.0,\n",
" 'width': 775.0304918212076,\n",
" 'thick': 0.0,\n",
" 'water_depth': -84.02454858723632,\n",
" 'free_board': 84.02454858723632}"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Default calving flux:\n",
"inversion.calving_flux_from_depth(gdir)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, `flux` is the calving flux ($q_{calving}$) in km$^3$ yr$^{-1}$, `free_board` is the height of ice above water ($E_{t}$, i.e. above 0 m a.s.l), `thick` the frontal ice thickness ($H_{f}$) in m (equal to zero per construction in OGGM), `water_depth` the water depth in m (negative here because of the zero ice thickness and a terminus elevation equal to the freeboard imply a positive bedrock elevation), `width` the front width in m.\n",
"\n",
"Now let's see how this calving flux would change if we increase the ice thickness (while keeping the free board fixed, because this is the only thing we know \"for sure\": the surface elevation at the terminus.):"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"df = []\n",
"for thick in np.linspace(0, 500, 51):\n",
" # This function simply computes the calving law\n",
" df.append(inversion.calving_flux_from_depth(gdir, thick=thick))\n",
"df = pd.DataFrame(df).set_index('thick')"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df[['flux']].plot();\n",
"plt.ylabel('Calving flux (km$^3$ yr$^{-1}$)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The flux is zero as long as the ice isn't thick enough to reach water, after which the water depth is positive and calving occurs. The calving flux varies with $H$ as a polynomial of degree 2.\n",
"\n",
"We don't know which is the **real** value of the calving flux at this glacier. From here, let's make some very coarse assumptions:\n",
"- the Oerlemans and Nick calving law is perfectly exact\n",
"- the tuning parameter $k$ is known\n",
"- our glacier is in equilibrium (a fundamental assumption necessary for mass-conservation inversion)\n",
"- ice deformation at the glacier terminus follows Glen's flow law\n",
"\n",
"Under these assumptions, we are now going to show, that there is **one and only one** value for the frontal thickness which complies with *both* the calving law and the ice thickness inversion model of OGGM.\n",
"\n",
"To test this hypothesis, we are going to compute a calving flux (from the calving law) for a range of frontal ice thicknesses, then give this flux back to the OGGM inversion model, which will use this flux to compute the frontal ice thickness according to the physics of ice flow (see the [documentation](https://docs.oggm.org/en/latest/inversion.html) or [Recinos et al. (in review)](https://www.the-cryosphere-discuss.net/tc-2018-254/) for more info). Let's see how this works:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"df = []\n",
"for thick in np.linspace(0, 500, 51):\n",
" # This function simply computes the calving law\n",
" out = inversion.calving_flux_from_depth(gdir, thick=thick)\n",
" out['thick (prescribed)'] = out.pop('thick')\n",
" \n",
" # Now we feed it back to OGGM\n",
" gdir.inversion_calving_rate = out['flux']\n",
" \n",
" # The mass-balance has to adapt in order to create a flux\n",
" tasks.local_t_star(gdir) \n",
" tasks.mu_star_calibration(gdir)\n",
" tasks.prepare_for_inversion(gdir)\n",
" v_inv, _ = tasks.mass_conservation_inversion(gdir)\n",
" \n",
" # Now we get the OGGM ice thickness \n",
" out['thick (oggm)'] = inversion.calving_flux_from_depth(gdir)['thick']\n",
" \n",
" # Add sliding (the fs value is outdated, but still)\n",
" v_inv, _ = tasks.mass_conservation_inversion(gdir, fs=5.7e-20)\n",
" out['thick (oggm+sliding)'] = inversion.calving_flux_from_depth(gdir)['thick']\n",
" \n",
" # Store\n",
" df.append(out)\n",
" \n",
"df = pd.DataFrame(df)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We've got:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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KHemHjlfWOlbtPYTNbmgVFc6kvq2Z0CuRkd3iGtXYDl/ST9XPKtYjqe/CThXrkQwfPrzy0lZFraRly5Z89tlnTJo0iaKiIu67775fHd+vXz8+//zzyufjxo3jmWeeISsri9atW/PWW29V1oLGjh3LBx98wFVXXYXNZmPOnDmV63jUVlZf27Ztq6wFKVUXYwxbMo8wf0sW87ceZHtWIQDdEqK5dXQyE3olMrB9C0JD9JKVt2ki8bNAWY+kb9++PPvss0ycOBERITk5mZkzZwIwbdo0NmzYQO/evYmLizupllNbWX0YY1i4cCEPPfTQKR2vGoeycjur9x5i/taDzN+SRWZBMSECQzu15K8X9GJCr8QGPx1JINL1SBox5/VI6lJYWEhMTAwlJSVcdNFFXHHFFdxyyy11lrnq+++/Z/bs2cyaNeuU3oun6fckcBwrsbF0Rw7ztx5k4fZsCorKiAgLYXT3eM7pncjZvRJpGVV393nlGl2PRNVLfdYjmTBhAiUlJRQXFzNhwgSmTp3qUpmrjhw5wt///vd6H6captyjJfyw7SDztxxk2a5cSm12WjRrwoReiZzTJ5FR2t5xasrL4OhBOHIACjOhMAuOZELhAet25ACkZdT7tFojUaoa+j3xvYzDx/l+y0G+35zF6n2HMMaaCPGcPomc07s1QzudRlioDlatljFQXOBIBvuthOCcICqSxLEcoMrf/JAmENMGmreBmNakHo+i840zQGsktTPGaJ9xVaOG+uMqEO3OOcp3m7P4bnMWm/YXANCzdQx3je/GuX0SdXwHgN1uJYDCTCs5ON8qtx2AsmO/PrZZK4hpayWJNgNOPI5x3Jq3haYtwXk2idRUYEa9Qmx0iSQyMpK8vDxatWqlX1D1K8YY8vLyTuqmrDynoqfV91us5LEz+ygAA9u3YPqknpzXp3XjaiyvSBJHMqyEULC/ymNHsrBXGQIQEnYiGST2hW7nWEmheduTk0VYhE/eRqNLJElJSWRkZJCTk+PvUFSAioyMPGl0vnKP3W74Je2wVfPYkkXG4SJCBIZ1bsW1wztyTp/EhjmflTFQdBgK0qEgo5okkWHVJOxlJx8XGmElhNgk6DjCkSDanahBNG8HUfEn1yL8rNElkiZNmlT0SFBKeUm53bBq7yG+3XyA7zZnkV1YQnhoCCO7xXH3+G6c3SuBVtG++bXsNWVFJxJCQcUt3dpW8dxWdPIxoeEnkkH74ScSRvN2Jx43awVBdrWk0SUSpZR32Mrt/Lz3EN9sOsD3W7LIPVpKZJMQxvVI4Ly+rRnXMyF4pl43Bo4fgoI0yE8/kSTy004kieO5vz4uurWVDBJ7Q/dzrccViSI2CZrFBVRNwlM0kSilTllZuZ2fdudVJo/Dx8to2iSU8b0SOL9vG8b2iCcqIgD/zNjLra6vBemORFGRMNJPJI6qjddNoqBFeyshtB0Ese0gtv2JZBHTFsIa53iWAPwXVkoFslKbnR935/LNxgPM33qQgqIyosJDObtXIuf3a82Y7gn+n4bdboejWVYNIj8N8vedeHx4n5UoqrZNNGtlJYa4btD1bOtxi/aO+w7Q9LSgu+TkK5pIlFJ1Kiu38+OuXL7eaNU8jhTbiIkIY0LvRCb1bc3o7vFENvFh8jAGjuVaCeJwqnVzThoFGVBeevIxUQlWQmg3GPpc4kgQHU/UMsIbUW8xD9NEopSqlq3czso9h5i3MZPvtmSRf7yMmIgwJvZJ5IJ+bRjZLY6IMC8mj9LjTonCce/8vOqlp6h4K1G0GQC9JjuSREdrW2wShDfzXqyNnM8TiYg8CjwG9DPGbBaR4cBMoCmQClxrjMl27FtjmVLK8yp6W83bmMl3m7PIO1ZKVHgoE3pbycOjNQ9jrDEUh/bC4b1V7lPhWJX/6k2i4LSOcFon6DzGuq943qKD1ij8yKeJREQGA8OBfY7nIcBsYKoxZrmI/BV4FriptjJfxqxUQ2e3G9amHWbehky+2ZxFTmFJZYP55P5tGNsj4dSTR7nNasCuLlEcToXSo047i9W7qWVn6H6OI1F0tmoVp3WCqDhtowhQPkskIhIBvA5MARY7Np8OFBtjljuez8CqedxUR1nVc7cAWlTZrCPKlKqBMYbN+4/w5Yb9zNt4gAMFxUSEhTC+ZwIX9G/D+J4Jrk+KWG6zej3l7YFDFbfd1v3hfSc3aodGWEmhZWfoNMq6P62zdd+ig89GYivP8mWN5AlgtjEm1Wlqkg44aicAxphcEQkRkZa1lRljDlU59z3Ao94NX6ngtzvnKF+uz+SrDZnsyT1Gk1BhdLd4pk/qydm9EomuqauuvdyqWeTtgrzd1q0iaeTvO3kKjyZR0CoZEvtAr4usJNEy2UoYMW0a5DiKxs4niURERgBDgOleeomXgXerbEsClv16V6Ual8z8Ir7akMmXGzLZknkEERjeuRW3jk5mUt/WtGjmGPtgDBzNcSQL55sjaZSXnDhpeLSVHFr3s3pAtUyGll2s++gEvQTVyPiqRjIG6AXsddRGkoDvgVeAjhU7iUgcYDfGHBKRtJrKqp7cGJMP5Dtv0wkZVWOWd7SEbzYd4MsNmaxOPQzAgPYtePjC3lzYuyWJtkzIXQ9rdkDuTsjbaSWN4oITJwlpYiWGVl2h20TrvuKmyUI58UkiMcY8i9VQDoCIpAIXAluB20RkpKMtZBow17HbWqBpDWVKqSqKSsuZvzWLz9ftZ+nOXJrbCxjbKp/f9TvK6dG5xB5LhV92wA+pYOwnDmyeBK26QL8roFU3R7LoYo2zCNURAqpufv2WGGPsInIdMFNEInF08a2rTCllsdnKWbN5K+vXruTQvs10tKfzhyYHeL3ZfprZCuAYsBOrkTuumzXGou/lENfdet6qK0RE+/ttqCDnl0RijOnk9HgF0K+G/WosU6pRsdutxu6cFEzOdg7v28jx/VtpcWwvwznOcIAQsEXGEprYG4kfCvE9TiSM2PYQ4udpS1SDpfVWpQKJMdaa2tlbIXub0/32ypHcApSbWNJNErtaTCS+ywC69T6d8Da9CYuK17YL5XOaSJTyl6J8K1Ec3OJIFo7EUXyi34i9WTw5TZNZ22QCy47HscOeRGyHvkw8vSfn921DbLMgmZZdNWiaSJTytnKbNUDv4GYraVTcCtJP7BMRCwm9oM+llMf3ZGNpWz7eF82nKSWUHLKTHB/FZROSuHNQO9q1aICrCaqg5nIiEZForNHj+caYo3Xtr1SjVHQYsjZZt4NbrOSRvf3EGIyQMKvdosNwSLzZWm87oTc0b8v2g4X8d20Gn/+QSU5hCS2a2bhqaHt+MziJAUmx2qVdBaxaE4mI9AVuBy7AGtMhgHF03/0WmGmM2eTtIJUKOMZYU5VnbYKsjdb9gY3WVCEVohOt0d3DbrMSRmIfK4k4TQOSe7SEL9Zn8t+1y9l64AhhIcK4nglcNjiJcT3jvTu7rlIeUmMiEZH/AL2B/2B1u90GFAIxWIMLxwAfiMhWY8zVPohVKf+w261LU5nr4cD6E4mj6LBjB7G60SYNgaE3WaO9W/e3Bu1Vo6zczqLt2cxdm8Gi7dnY7Ib+SbE8Nrk3Fw1sR8uoxrnKngpetdVIZhtj5lWz/TCwwnF7RkQu9EpkSvlD1aSRuR4ObIDSQqs8NMJaj7vXRVbCaDPAujTlwliMHQcLmbsmnc/W7Sf3aClx0RHcNLIzl5+eRPfEGC+/MaW8p8ZEUkMSOeX9lAo4xlgTDu5fC/t/gcx11uWpiqQRFmldkhpwFbQZCG0HQnxPCHW9p1RBURlfbchk7toMNqTnExYinN0rgStOb8+YHvE0CdUJDFXwq09j+yhgEHDSTy9jzNOeDkoprziWB5m/OBKH43Y8zyoLjbBqGAOuthJGm4HWgL56JI0Kdrthxe485q5N57vNWZTY7PRsHcNfL+jFJYPaERetU6WrhsWlRCIirwJXYs2mW+RUZLwRlFJus5VabRnpqyBjtZU08itWJRCrZtF9krV+d7vTrYbwU0gazrIKipm7Jp05a9LJOFxE88gwrhzSniuGJNGvnfa6Ug2XqzWS3wJ9jTGZ3gxGqVNWmOVIGqsgfbV1maqiy23zdlayGHKTdd92IER4pk3CVm5nUUoO/1mVxqKUbOwGzuzSigfO7cG5fVp7bllapQKYq4kkHSipcy+lfMFebo0AT1sJaT9ZiaOi221ouNUAPvQWaD8Uks6A2HYeDyEt7zhz1qQxd00G2YUlxMdEMG1MF64a2p6OrXTtcNW4uJpIbgbeEpGPgIPOBcaYpR6PSilnZcVW20baT7DvJ6vmUeJYNyOmDbQ/A4bdbt23GeC15VpLbOV8v+Ugc1an8eOuPEIExvVI4OozOjCuRzxh2nCuGilXE8npwCRgNL9uI+ng6aBUI1dyFNJXQupyq9axfy2Ul1plcT2sFfk6ngkdRljrfHu57WFf3jE+XJXGJ2syyDtWStJpTfnjxO5cMaQ9rWMjvfraSgUDVxPJ08BkY8wCbwajGqnSY5D+M+xdZiWPzF+sNcBDwqwaxhm3WUmjw3CIivNJSGXldn7Yls0HP+9j2c5cQkOEib0SuWZYB0Z2jSMkRBvOlargaiI5BuglLOUZthKrppG6zEoe+9eCvQwk1OpFdebd0GkktB/m80WX9ucXMWdVGv9ZnU52YQltYiO5b2J3rhransTmWvtQqjquJpJHgJdF5Akg27nAGOc1O5Wqht0O2Vtg9yLYsxj2rQBbkZU42g6CEXdA51HQfrhfVuuz2w1LduTwwc/7WLg9GwOM7R7P08M6MlbbPpSqk6uJ5N+O+9udtglWG4n2b1S/VrAf9iyyksfeJXAsx9oe3xNOvwGSx1ntHJHN/RZi/vFSPl6TzuyVaaQdOk5cdAS/H9uVq4a2p33LZn6LS6lg42oi6ezVKFTwKy+zLlft+h/sXGDVQACiEqyk0WUcJI+F5m39GSUAm/cX8N6KVL7ckEmJzc4ZnVryp/N6cE7v1oSHae1DqfpyKZEYY/bVvZdqdI5kwq4FsHM+7FkCJUcgpInVKD7xCehytjViPABGdJfYyvlm0wHe/2kf69LyadoklMtOT+L6ER3p2dp/tSKlGoLappF/EXjOGJNVyz6tgT8ZY+7zRnAqwBhjzYSb8i2kfG1NpQ7WyPE+l0K3cyB5jMdGjXvCgYIiZq/cx39WpZN3rJTkuCgendyby05PonmkLlOrlCfUViNJAVaJyDZgieN5xXok3YGxQA/gSS/HqPzJVmr1rkr5xkogR/aDhFg9qiY8ZiWPhN4BUeuoYIzhl7TD/PvHVL7bnIUxhrN7JXL9iI6c1UW77irlabVNIz9TRP4NXIw1GPESrKV2DwMbgRnAV8YYmy8CVT5Uesy6XLX1S9j5P2ta9bCm0PVsGPcQdD/PZ+M56qPUZufrTZm882MqGzMKaB4Zxs0jO3Pd8I7aeK6UF9XaRmKMKQM+cdxUQ1ZyFHZ8B1u/sJKHrQii4qHvpdDjfKuhvElTf0dZrdyjJXz4cxqzVu4jp7CELvFR/O2SvvxmUDuiIlxeKUEpdYr0f1ljVnLUuly19XOr0dxWbK0zPuha6H2x1T03JHB7d287cIS3l+/ly/WZlJbbGdM9nhsv78TobvF6+UopH9JE0tiUl8HuhbDxY9j+tVXziGkDg2+w5rBqPyygk4cx1uDB/1u2l+W7cmkWHspVQ9tzw5md6Jrg+8GMSilNJI2DMdbiThs/hi2fWqsCNj0NBk6Bflc6kkdgj58osZXzxbpM/m/5HnYcPEpi8wj+fF5PrjmjA7HNtPeVUv6kiaQhK8iA9R9at8N7rTXIe0yC/ldZYzzCwv0dYZ0OHyvlg5/38d5PVvtHz9YxvHjlAC7s31YHDyoVIFxdarc3kGeMOSgi0cADgB143hhz3JsBqnqylVpdddfNgl0/AAY6jYLRD0CvyX6dkqQ+0vKO89ayPcxdm05xmdX+ceuVyZzVtZUuWatUgHG1RvIR1prtB4EXsMaPFAMzgeu8E5qql+zt8Mt7sHGOdemqeTsreQy8BloGzww3WzILmLFkD19vzCQsJISLB7blllHJ9GgdOIMclVInczWRdDLGpIj1U/A3QG+sBa72uvpCIvI51pxdduAocJdjQWLsAAAgAElEQVQxZr2IdAfeA1oBecD1xpidjmNqLFNAuc0aYb7qLWvQYEgT6Hk+DLremtsqgBvNnRlj+GlPHm8u3s2ynblER4Rx6+hkbj6rMwk6dbtSAc/VRFIsIjFYCSTNGJMrImFAff6X32CMKQAQkYuxZhQejDWw8XVjzGwRuRarljPecUxtZY3X0Wyr9rHmHWukeWx7a5T5oOsCcqBgTex2w/ytWby5eDcbMgqIi47gT+f14LfDOhLbVBvQlQoWriaSD4GFWNOjvObYNph61EgqkohDLGAXkQTHeSY6tn8EvCYi8VjT1FdbZozJcT63iLTAGnXvLMnV2ILGgY3w02uw+VNrIajkcXD+C9D93KCpfYA1Av3zdfuZsXQ3e3KO0aFlM566tC+XDU4isknwvA+llMXV2X/vFZFzgDJjzCLHZjtwb31eTET+DzgHK0mcB7QH9htjyh2vUy4imY7tUktZTpVT3wM8Wp9YgoYx1noeP/7TGv8RHg1DboSht0J8d39HVy/FZeXMXZPOjCV72J9fRJ+2zXl1yiAm9W2ti0cpFcRc7v5rjJlf8VhEkoFcY8ya+ryYMeYWx/HXAc8DD9fn+Fq8DLxbZVsSsMxD5/e9cps14nzFK9aMu1EJcPYjMOQmawxIEDleauPDn9P419I9ZBeWMKhDC568pC9je8RrDyylGgBXu/9+BLxqjFkhIjcCb2BdmrrbGPN2fV/UGDNLRP4FZADtRCTUUeMIBdoC6Vg1kprKqp4vH8ivEnN9wwoM5Tar59XS5+BwKrTqCpNfscZ+NAmuhufC4jLe/2kfby/fy6FjpYxIbsXLVw1kRBftwqtUQ+JqjeRs4AbH4/uACVh/uD8H6kwkjrEnpxlj0h3PJwOHsNZ/Xw9MAWY77tdVtIGISI1lDU65DTZ/Akv+Dof2QJsBcNVs6HFBwI86r6qgqIx/L9/LOz/u5UixjTHd47lrfFeGdGrp79CUUl7gaiIJN8aUikg7oKUx5kcAEUl08fgoYK6IRAHlWElksjHGiMg04D0ReQRrivrrnY6rraxhsJdbjedLnoW8XZDYD67+0JpxN8h+tR8pLuOd5an83/I9FBbbmNg7kbvGd6V/UtV+EEqphsTVRLJeRB4EOgJfAziSyhFXDjbGHASG11C2HRhW37IGYfcimP9XOLgZEvrAlbOg54VBVwM5WmLj3R/38tayvRQUlTGhVyL3TOhG33ax/g5NKeUDriaSm4G/AWVY06MAjAA+8EZQDV5OCsx/GHZ+Dy06wGVvQ5/fBF0COVZi472fUnlr6R4OHy/j7J4J3DOhO/2SNIEo1Zi42v13N3BNlW264FV9HcuFxc9YAwnDo2DiE3DG7UHXiF5cVs6sn/bx5pLdHDpWytge8dwzoTsD2+slLKUaI1d7bQlwC3A1EG+M6S8io4HWxpiPvRlgg2C3w/rZVi2kpNDqwjt2elCNQgcoK7czd00Gr/ywk6wjxYzqFse9E7szuENwdUdWSnmWq5e2nsAaYf4y1rQlYHXdfQnQRFKb7O0w715IWwEdzoQLX4KEnv6Oql7sdsO8TQd4cX4KqXnHGdyhBS9fPZDhya38HZpSKgC4mkimAoMcc2y96di2F0j2SlQNQVkxLHsBlr9sXca66DUY+NugagcxxrA4JYfnvk9h24Ej9Gwdw9s3DGF8zwQdB6KUquRqIgnFmrEXwDjuo522KWeZ6+HT2yA3BfpfDec8CdHx/o6qXtbuO8yz325jdephOrRsxstXDeSiAW11LXSl1K+4mki+AV4UkXuhss3kb8BX3gosKNnLrTmxFj1ttX9c+yl0PdvfUdVLau4x/v7ddr7dnEV8TARPXtKXq4a2p4nOhaWUqoGrieQ+rHVBCoAmWDWR+TTEAYKn6vA++Gya1RbS+2K48GVoFjwjuQ8dK+WVH3Yye+U+wsNCuGdCN24dlUxUhK7GrJSqnavdf48Alzqmfe8IpBtjsrwaWTDZNg8+/501U+8lM2DA1UEzKr24rJx3fkzljUW7OFZq4+ozOnDPhG4kxARXl2SllP+cys/NPKCZYwZgjDF7PBtSELHbYfHTsPR5aDsYrngHTuvk76hcYozhyw2Z/P3b7WQWFDOhVwLTJ/Wka4IuaauUqh9Xx5GchzU5Y5sqRQarIb7xKcqHT2+FnfNh4LVwwT+CZmDhhvR8npi3lbX7DtO3XXP+caU1I69SSp0KV2skr2M1rr9njCnyYjzBIWcHfHQ15O+zVigcektQXMrKPlLMc9+n8MnaDOKiI3ju8v5cPjhJe2IppdziaiI5DZhpjDF17tnQZayBDy6HkDC4YR50HOHviOpUXFbOv3/cy+sLd1FWbpg2pgt3jOtCTKSui66Ucp+rieRt4Ebg316MJfDt+gHmXGeNCbnuc2jZ2d8R1emHbQd5/KutpB06zsTeifzl/F50iovyd1hKqQbE1UQyHLhbRKYDJ/XWMsaM9nhUgWjzp9Ygw/iecO1/IcbVpVj8I/3QcR7/agsLtmXTLSGa2TcPY2S34JrbSykVHFxNJP/nuDVO62bDF3dChxEw5SNoGriz3JbYyvnXkj28tmgXoSHCg5N6ctPIzjqgUCnlNa4mkk+NMYVVN4pIBw/HE3i2fA5f3gVdxlkrFzZp6u+IarR0Rw6PfrmFvbnHOL9fax6+sDdtYgM3XqVUw+BqIvlaRCYaY0oqNjjGkfwABH5Dwana9QP89xZIGmqtnx6gSST7SDGPf7WVrzcdoHNcFO/fdAajuwfX3F5KqeDlaiL5GfhcRCYbY2wi0h1YgDW9fMOUvgrmXAvxPeCaOdYMvgHGbjfMWZPO099so8Rm548Tu3PbmGQiwhrn0B6llH+4OkXKAyLyFvCRiDwOfAc8ZIx536vR+UvebquLb0xruO4zaBp4CzftzjnKg59uYtXeQwxPbsnTl/YjOT7a32EppRqh+kyRchvwEbAKuNEYM8c7IflZ6TGrJiIhVhKJTvB3RCcptdmZsWQ3ry3cRWSTEP5+WT+uHNJe1wdRSvlNjYlERJZxYu2RCuHAceAOEbkDGlj3X2Pgqz9A9jari2+AzZu1MSOfB+ZuJOVgIRf0b8Ojk3vr5IpKKb+rrUbS+Lr7rvoXbJoL4x8OqHVESmzlvPrDLt5cspu46HD+7/ohTOgd2ONYlFKNR42JxBjzni8D8bv01fD9Q9DjfBh5n7+jqbR5fwH3z93A9qxCLhucxCMX9ia2mU5topQKHK7O/vsK8B9jzAqnbWcCVxpj7vFWcD5jK4Evfg8xbeGSNwNiXfVSm53XFu3ijUW7aBkVzts3DOHsXloLUUoFHlcb26cA91fZthb4HAj+RLLsH5C7A37734AYtb4ru5A//Gc9WzKPcOmgdjw6uTctmoX7OyyllKqWq4nEAFV/podWsy34ZG+DZS9Cvyuh2wS/hmKMYfbKfTz59TaiIsKYed3pnNuntV9jUkqpuriaSJYBT4rIn4wxdhEJAR5zbA9e9nJr+pOIGDjvGb+Gknu0hD99spGF27MZ3T2eF67orz2ylFJBwdVE8gdgHnBARPYBHYADwGRvBeYT62ZBxmq49F8Q5b+ZcRelZPPA3A0cKbbx6OTe3DCiky42pZQKGq6ObM8QkcHAMCAJSAdWGWPs3gzOq2wlsOR5SDoD+l/plxBKbXb+/t123l6+l56tY/jgluH0aK1rpiulgovLI9sdSeMnL8biW+tmwZEMuPhVvyyTm3H4OHd+uI716flMPbMT0yf1JLKJzpGllAo+tY1s32aM6eV4nM6vR7kDYIypcyp5EWkFzAK6AKXATuB2Y0yOiAwHZgJNgVTgWmNMtuO4GsvcUlZsNbC3Hw7J49w+XX0t2HqQP87dgN1uePO3g5nUr43PY1BKKU+prUZyq9Pja918HQM8Z4xZDCAizwPPisitwGxgqjFmuYj8FXgWuMnRoF9tmZuxwC/vw5H9cMkbPq2NlJXbef77FP61dA992zXn9WsG07FV4M0qrJRS9VHbyPblTo+XuPMixphDwGKnTSuB3wGnA8VOrzUDq+ZxUx1lJxGRFkDVASBJ1QZjK4HlL0LHs6DzmFN4N6cmu7CYOz74hdWph7lueEf+ckEvvZSllGoQXB3ZHg5MBQYCJ81Vboy5vj4v6Khp/A74Eqv31z6nc+WKSIiItKytzJGYnN0DPOpSACnfQuEBuOg1n9VG1qfnM23WWgqKynhlyiAuGtDWJ6+rlFK+4Gpj+3vAAOAr4KCbr/kqcBR4DbjUzXNVeBl4t8q2JKob57L+A2jezlo61wc+XpPOXz/bTELzCP77uzPp3ba5T15XKaV8xdVEch7Q2RiT786LicgLQDdgsmNgYxrQ0ak8DrAbYw7VVlb1vI64Toqt2vU5CrNg1wIYeS+EePeyUlm5nb/N28r7P+1jZNc4Xp0yiNOidJoTpVTD4+oUJ2lAhDsvJCJPY7V7XOK09vtaoKmIjHQ8nwbMdaHs1Gz4Dxg7DLjGrdPUpeB4Gde/vYr3f9rHbaOTeffGoZpElFINVm3df8c7PX0f+EJE/kmVS1vGmIV1vYiI9AEeBHYAKxy1hb3GmEtF5DpgpohE4uji6zivvaayU2IMrP/Q6vIb1/WUT1OXtLzj3PjuKtIPFfHilQP4zeDq2/yVUqqhqO3S1tvVbHu6ynMDJNf1IsaYLUC1LduOqen71bes3vavhdwUmPyKR05XnbX7DnPb+2soN4ZZN5/BsORWXnstpZQKFLV1/+3sy0C8btuXENIE+lzildPP25jJfR9voG1sJP+eOpTk+Oi6D1JKqQbApTYSEfmihu2fejYcL9q7DJKGQGSsx0/99vK93PnhOvq3i+XT35+lSUQp1ai42theU1/ZsR6Kw7uKC+DAeug82qOnNcbwwvcp/G3eVib1bc3sW4bRUhvVlVKNTK3df0XkCcfDcKfHFZJxGjAY0PatsHprdRrlsVOW2w0Pf7GZD39OY8oZ7Xnykn6E6tTvSqlGqK5xJO0d9yFOj8FqZE/HWtwq8O1dBqERkDTUI6crtdm59+P1fL3xAL8b24U/nduj+nErSinVCNSaSIwxNwKIyApjzFu+CckLUpdC+zOgifsrDpbYyvnd7F9YuD2bh87vyW2ju3ggQKWUCl4utZEEdRIpyoesTR6ZoLHEVs60WWtZuD2bpy7tq0lEKaWox8JWQStjtXXf2b32kYoksiglh6cv7cc1w+pchkUppRoFV3ttBa+DWyAkDNoOPuVTaBJRSqmaNfxEUpABLTpA2Kl1y7WV27nrw3WaRJRSqgYuJxIRmSgib4vIV47nQ6rMxxWYCjLgtE6ndKgxhgc/3cT8rQd5bHJvTSJKKVUNV0e23wW8ibXWesWoviLgSS/F5TkF6XDaqc328uy325m7NoO7z+7G1LMa1owxSinlKa7WSO4BJhhjngXsjm3bgR5eicqTSo6cUo1kxpLdzFy6h+uGd+TeCd08H5dSSjUQriaSGKwBiGANRgRoApR6PCJvaFm/2sSXGzJ59tvtTB7Qlscv6qODDZVSqhauJpKlwPQq2+4GFnk2HC+pR41kXdph7p+7gTM6teSFK/oTotOeKKVUrVwdR3IX8JWI3ArEiEgKUAhc6LXIPMnFRLI/v4hb319LYvMIZlx3OhFh3l2OVymlGgKXEokx5oCIDAWGYq2jng6sMsbYaz8yAESeBhExde52rMTGLe+toaSsnI9u1Vl8lVLKVS4lEhEZCOQZY1YBqxzb2otIS2PMBm8G6LYW7evcxRjD9E83kZJ1hLenDqVbYt2JRymllMXVNpLZWI3rzsKBWZ4Nxwti614zffbPaXy1IZM/ntODcT0SfBCUUko1HK4mkg7GmD3OG4wxu4FOHo/I02Jrr5Fsyijgb19tZWyPeH43RidhVEqp+nI1kWSIyEmTVTmeZ3o+JA+rpUZSUFTG7z9cS1x0OC9dOVB7aCml1ClwtdfWS8AXIvIcsBvoAtwPPOWtwDymljXaH/1iMwfyi5lz+whO08Z1pZQ6Ja722npLRPKBm7FWSkwH/miM+cSbwXmEVN+F97vNWXy+PpN7JnTj9I6n+TgopZRqOFxej8QYMxeY68VYvCPk14kk72gJf/lsE33bNeeOcV39EJRSSjUctSYSV2b3NcYs9Fw4XhB68ls0xvDwF5spLLbx4RUDaRLa8GfSV0opb6qrRvJ2HeUGSPZQLN4hJ7/FH7Zl882mLB44twc9Wut4EaWUcleticQYE/xzpztd2iouK+fxeVvomhDNbaMDO/8ppVSwaPhrtjslkn8t3UP6oSI+uGWYXtJSSikPafh/TUOsXJlx+DivL9rFBf3acFbXOD8HpZRSDUfDTySONpIX5+9ABB66oJefA1JKqYbFJ4lERF4Qkb0iYkSkr9P27iLyk4jscNx3c6WsXkJC2ZVdyOfr93PDiE60a9HUA+9IKaVUBV/VSD7HWut9X5XtM4DXjTHdgdeBmS6WuS40jJcW7KRpk1Bu17m0lFLK43zS2G6MWQ6ctGStiCQAg4GJjk0fAa+JSDwgNZUZY3Kqnl9EWgAtqmxOAth7qISvNxZy57iuusaIUkp5gT97bbUH9htjygGMMeUikunYLrWU/SqRAPcAj1b3Ip+vP0B0RCK3jtLuvkop5Q0NpbH9ZaBzldsogKW7D3PlkPbENqu6nIpSSilP8GeNJB1oJyKhjhpHKNDWsV1qKfsVY0w+kO+8reIyWok9hBvO7OjFt6GUUo2b32okxphsYD0wxbFpCrDOGJNTW1l9X2dIcjwdW0V5ImSllFLV8FX331dEJAOrAXyBiGxxFE0D7hKRHcBdjue4UOaySf3qXmpXKaXUqfNVr627gbur2b4dGFbDMTWW1Uef9i3dPYVSSqlaNJTG9ho1bxrp7xCUUqpBa/CJhJCG/xaVUsqf9K+sUkopt2giUUop5RZNJEoppdyiiUQppZRbNJEopZRyiyYSpZRSbtFEopRSyi2aSJRSSrlFE4lSSim3aCJRSinlFk0kSiml3KKJRCmllFs0kSillHKLJhKllFJu0USilFLKLZpIlFJKuUUTiVJKKbdoIlFKKeUWTSRKKaXcoolEKaWUWzSRKKWUcosmEqWUUm7RRKKUUsotmkiUUkq5RROJUkopt2giUUop5RZNJEoppdyiiUQppZRbNJEopZRyS8AnEhHpLiI/icgOx303f8eklFLqhIBPJMAM4HVjTHfgdWCmn+NRSinlJMzfAdRGRBKAwcBEx6aPgNdEJN4Yk+O0XwugRZXDk3wTpVJKNW4BnUiA9sB+Y0w5gDGmXEQyHdtznPa7B3jUD/EppVSjF+iJxFUvA+9W2ZYELPN9KEop1bgEeiJJB9qJSKijNhIKtHVsr2SMyQfynbeJiO+iVEqpRiygG9uNMdnAemCKY9MUYJ1z+4hSSin/CvQaCcA04D0ReQQ4DFzv53iUUko5CfhEYozZDgzzdxxKKaWqF9CXtpRSSgU+TSRKKaXcoolEKaWUWwK+jcQNoQAZGRn+jkMppYKG09/MUFePEWOMd6LxMxE5D/jW33EopVSQGmWMWe7Kjg25RrLHcT8GSPNnIC6oGIU/Cgj0KlQwxQrBFa/G6h3BFCv4P95QoA2w2tUDGnIiKXXcpxljUv0ZSF2cRuFnaKyeFUzxaqzeEUyxQsDEu7s+O2tju1JKKbdoIlFKKeUWTSRKKaXc0pATST7wOFVmBQ5QGqv3BFO8Gqt3BFOsEHzxNtzuv0oppXyjIddIlFJK+YAmEqWUUm4JukQiIt1F5CcR2eG471bNPqEi8rqI7BaRXSJyiytlARrvYyKSLSLrHbfX/RzrOSKyRkRKROQFV99HAMYaaJ/rwyKyRUQ2ishaETnXqayZiMxxfKbbReRCb8XqoXjfFZEMp8/2L36O9UZHnOtFZJOI3O1UFmjf2dpi9dl3tt6MMUF1AxYC1zoeXwssrGaf64HvsRJlPNbo0E51lQVovI8BLwTQZ9sVGAg8WTUuX362Hog10D7Xc4FmjscDsBpamzqePwK85XjcDcgCogM43neBOwPos23OifbgGGAf0D9Av7O1xeqz72y935u/A6jnP0SC4wsb6nge6ngeX2W/r4HLnZ6/BjxQV1mAxuuTL4+rsTrt/6u4fPXZeijWgPxcHfsIUAAkOZ5vAYY4lc8DrgjgeN/FB4nkFGNNBDKBfoH8na0hVp98Z0/lFmyXttoD+40x5QCO+0zHdmcdsDJ5hTSnfWor8zRPxAtwtaO6O19ERvg51tr46rP1RKwQuJ/r9cBuY0zFPEuB+J11VjVegPscl2Y+F5Fe/o5VRC4SkS1Yn+PzxphNjqKA+87WEiv45jtbb8GWSBqjGUBnY0x/4HngCxFp5eeYGoKA/FxFZAzwN2CKv2NxRQ3x/gXoaozpB3wKfCciLk9J7g3GmC+NMX2A7sB1ItLDn/HUppZYA/I7C8GXSNKBdhVfSsd9W8d2Z2lAR6fnHZz2qa3M09yO1xiTZYwpczz+n2N7Xz/GWhtffbZuxxqIn6vjF+Zs4BJjTIpTUSB+Z2uM1xiz3xhjdzx+H4jGmtHWb7E6xZYGrAIqOiwE7He2aqw+/M7WW1AlEmNMNrCeE79+pgDrjDE5VXadC9wqIiEiEg9cAnziQlnAxSsi7Sp2EpGBQCcgBQ+rR6y18cln64lYA+1zFZGhwBys6/W/VDnNXOB2x37dgKHAd56O1VPxVvlszwXKgf1+jLWX0+M4YBxQcbkooL6ztcXqq+/sKfF3I019b0BP4Gdgh+O+h2P7NzgaJLEast7Emgp5N3Cb0/E1lgVovO8Bm4ENWOsDnO/nWEdi9Ww5AhQ6Hp/r68/WA7EG2ue6GsjB+mNTcatoZI3C+oO3C+sPx8UB8J2tLd4FWH/8NmCtqzHcz7G+hNVhYb0jprucjg+072xtsfrsO1vfm06RopRSyi1BdWlLKaVU4NFEopRSyi2aSJRSSrlFE4lSSim3aCJRSinlFk0kSiml3KKJRKlGREQSRWSFiCwRkYUi0sbLrxcrIqtE5KiIBMQobOV5mkiUalxygZHGmDHA+8DNXn6948AFeGn2CBUYNJGooCAiqSIywcV9t4jIWC/E0MOxoFChiNxdn5hO4bWeEZF7nJ575LWMMeXGMQ8W1noXW9w9Zx2vV2ZqmLrGUVPp483XV76hiUT5lIhcI9aqhUdF5ICIfCsiIz35GsaYPsaYxZ48p8OfgEXGmBhjzCteOD8Ajjmfrgdmeun8A0XkZ+BOoOq8Xr70AvCEH19feYgmEuUzInIf8DLwNNaiPR2AN4CL/RlXPXTEy7/gHaYC3xhjirxxcmPMemPMMOBh4EF3ziUiYSLSWkQWV3NrXcfhXwLjXNhPBThNJMonRCQW69fnHcaYT40xxxyXPb4yxjzg2Ge6WGtnF4rIVhG5tIZz/VlEPqmy7Z8i8orjceVlIMfj+x2LARWItfZ5pNNxg0VkneM15zrKn6zmNRdizcT6mqM21b2afYyIdHV6/q6IPCkiXUTkkIgMdmxvKyI5tVx+mwQsqeWz7CUie0VkitN7fMDxHo+JyNuORvVvHe9rgYic5tg33OlUBVhtGFXP/4CI/LfKtldE5J9Or/dnEdkIHANyjTFjq7ll1fQeAIwxxcBarGV7VRDTRKJ8ZQQQCXxWyz67gVFALPA4MLuGXkX/Ac4XkRioXNvhSuDDGs57JXAe0Bnoj/WLv+KP6mdYS8O2BD4Cqk1expjxWDPZ3mmMiTbG7KjlfVQ9djfwZ8f7aQa8A7xXy+W3ftQwPbgjGX2PNSvsR05FlwETsRZDmgx8CzyEtQ55CHC3Y7+BIrJURBYB92AtkFTVbOA8EWnheM0w4GqsxvkKU7Aa0VsYY2w1v3sQkW+Ac4C3RGRqleJtWGu+qyAW5u8AVKPRCuuXa41/dIwxc52ezhGRB4EzgC+q7LdPRH7B+qP/PjAeOG6MWVnDqV8xxmQCiMhXwEDH9uFY/wdeMdY02J+KyKr6v7W6GWPeEpHJWNOHG+CiWnZvgTXtfVWjsHpZXVtNEnrVGHMQQESWAdnGmHWO558BZzviWAWMriPWAyKyFLgCeAsrCecaY9Y67faKMcalBaCMMefXUlwIeLULsvI+rZEoX8kD4hy/bqslItc7ekXli0g+1upvcTXs/iEnFgm6hpprIwDOl1iOY63YB9YKdfvNyWspeGvlQbD+KPfF+qNfUst+h7F6VFU1DVhRQ03moNPjomqeR1M/7wHXOh5fC8yqUu6pzykGyPfQuZSfaCJRvvITUIK1At2viEhHrD+0dwKtjDEtsBbxkRrONxcYKyJJWDWT2hJJTQ5gLX/q/BrtT+E8FY4DzZyeVzYii0g0VkeDt4HHRKRlLefZiHWJqqppQAcRecmNGF31OdDfMYjwQuCDKuWeWsioF9ZCTSqIaSJRPmGMKQAeAV4XkUtEpJmINBGRSSLyHNYqgAZr1T1E5EZqWY/aMTZhMVZ7w15jzLZTCOsnrGVg73T0ProY61LaqVoPXCMioSJyHjDGqeyfwBpjzC3A18CMWs7zTZVjKxRiXWYaLSLPuhFnnRwN4Z9gJehVxlo/3KMcnR5OB/7n6XMr39JEonzGGPMP4D7gr1gJIx2rBvK5MWYr8A+sP+4HsRqcf6zjlB8CEzi12gjGmFLgN1jtDvlYl3DmYdWcTsUfsBq684HfYv2qx5GgzgN+59jvPmCwiPy2hvO8j9WZoGk1MedjNapPEpG/nWKcrnoP69+h6mUtT5kMLK5ov1LBS5faVcqJY6DeDGPMO36O42msBvOX/RhDB2A70NoYc8QL5/8ZuNkYs9nT51a+pYlENWoiMgarq20uVi1iBpBsjDng18D8TERCgBeB5saYm/wdjwps2v1XNXY9gI+x2mj2AJdrEpEorMuL+7AuySlVK62RKKWUcos2tiullHKLJhKllFJu0USilFLKLZpIlNT60QYAAAArSURBVFJKuUUTiVJKKbdoIlFKKeUWTSRKKaXcoolEKaWUWzSRKKWUcsv/A+L66QPjgCzJAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df[['flux', 'thick (prescribed)', 'thick (oggm)']].plot(x='flux');\n",
"plt.xlabel('Calving flux (km$^3$ yr$^{-1}$)');\n",
"plt.ylabel('Ice thickness (m)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We already know that the calving law relates the thickness to the flux with a root of degree two (blue curve). Now, what explains the shape of **the orange curve**?. It is Glen's flow law, which relates ice thickness to the flux with a 5th degree root (assuming n=3). This is the reason why there is one (and only one) non-zero solution to the problem of finding a calving flux which is compatible with both the calving law and the physics of ice deformation (under our simplified framework of course).\n",
"\n",
"Note that adding sliding doesn't change the problem (we still solve a polynome of degree 5 in OGGM, [with a new term in degree 3](https://docs.oggm.org/en/latest/ice-dynamics.html)):"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df[['flux', 'thick (prescribed)', 'thick (oggm)', 'thick (oggm+sliding)']].plot(x='flux');\n",
"plt.xlabel('Calving flux (km$^3$ yr$^{-1}$)');\n",
"plt.ylabel('Ice thickness (m)'); "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Finding the optimum frontal thickness "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are several ways to find this \"optimal\" thickness, where mass-conservation inversion and the calving law are compatible. In OGGM, we implement an iterative procedure converging to this value in a few iterations:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"df = inversion.find_inversion_calving(gdir)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"f, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 5))\n",
"df[['calving_flux']].plot(ax=ax1);\n",
"ax1.set_ylabel('Flux (km$^3$ yr$^{-1}$)');\n",
"df[['mu_star']].plot(ax=ax2, color='C1');\n",
"ax2.set_ylabel('$\\mu^*$ (mm mth$^{-1}$ K$^{-1}$)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The procedure starts with an arbitrary initial water depth (1/3 the terminus elevation, or at least 10 m), then iteratively feeds the calving flux back to the mass-conservation inversion function of OGGM, which adapts the mass-balance model to cope with a non-zero ice flux at the front. In order to do that, the temperature sensitivity $\\mu^*$ has to be reduced (per construction, the original $\\mu^*$ is defined such that the flux at the front is zero).\n",
"\n",
"Convergence is reached when the OGGM flux equals the calving law flux within 0.1%:"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"At convergence:\n",
"calving_flux 0.214284\n",
"mu_star 78.328327\n",
"calving_law_flux 0.214698\n",
"width 775.030492\n",
"thick 384.342108\n",
"water_depth 300.317560\n",
"free_board 84.024549\n",
"Name: 10, dtype: float64\n"
]
}
],
"source": [
"print('At convergence:')\n",
"print(df.iloc[-1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Testing consistency"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will know put the final thickness estimated in the calving law to demontrate we obtained the same flux."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"thick = df['thick'][10]"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'flux': 0.21469835906298157,\n",
" 'width': 775.0304918212076,\n",
" 'thick': 384.34210821448397,\n",
" 'water_depth': 300.31755962724765,\n",
" 'free_board': 84.02454858723632}"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"out = inversion.calving_flux_from_depth(gdir, thick=thick)\n",
"out"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Sensitivity to the initial guess "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The method always converges, regardless of the starting water depth:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"df = pd.DataFrame()\n",
"df['wd_001'] = utils.find_inversion_calving(gdir, water_depth=1)['calving_flux']\n",
"df['wd_100'] = utils.find_inversion_calving(gdir, water_depth=100)['calving_flux']\n",
"df['wd_200'] = utils.find_inversion_calving(gdir, water_depth=200)['calving_flux']\n",
"df['wd_300'] = utils.find_inversion_calving(gdir, water_depth=300)['calving_flux']\n",
"df['wd_400'] = utils.find_inversion_calving(gdir, water_depth=400)['calving_flux']\n",
"df['wd_500'] = utils.find_inversion_calving(gdir, water_depth=500)['calving_flux']"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.iloc[1:].plot();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This converges because the solution is unique."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### What if it \"overshoots\"? "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For some glaciers, the calving flux given by the calving law is larger than can be explained by climate alone, i.e. even without melt, the computed flux is larger than total accumulation over our glacier. This can happen for several reasons:\n",
"- precipitation is underestimated\n",
"- the flux is overestimated because of uncertainties in k and the terminus geometry\n",
"- the equilibrium assumption is not valid\n",
"- ...\n",
"\n",
"Let's simulate this case on our glacier, here by setting an unrealistically large calving $k$:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"cfg.PARAMS['k_calving'] = 10 # default is 2.4"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"2019-02-27 15:25:36: oggm.core.climate: MassBalanceCalibrationError occurred during task local_t_star on RGI60-01.03622: mu* out of specified bounds: -20.03\n"
]
}
],
"source": [
"df = utils.find_inversion_calving(gdir)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"f, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 5))\n",
"df[['calving_flux']].plot(ax=ax1);\n",
"ax1.set_ylabel('Flux (km$^3$ yr$^{-1}$)');\n",
"df[['mu_star']].plot(ax=ax2, color='C1');\n",
"ax2.set_ylabel('$\\mu^*$ (mm mth$^{-1}$ K$^{-1}$)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If this happens during the iteration, OGGM is going to set $\\mu^*$ to zero and computes the corresponding flux (the maximal physically possible value). In this case, the calving law and OGGM disagree:"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"At iteration stop:\n",
"calving_flux 1.553626\n",
"mu_star 0.000000\n",
"calving_law_flux 2.156726\n",
"width 775.030492\n",
"thick 571.201615\n",
"water_depth 487.177067\n",
"free_board 84.024549\n",
"Name: 6, dtype: float64\n"
]
}
],
"source": [
"print('At iteration stop:')\n",
"print(df.iloc[-1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Discussion "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We have shown that under certain assumptions, our method converges to an ice thickness consistent with the calving law. Of course, there are many uncertainties involved, and it is not our attempt to find the \"true\" calving flux here. See [Recinos et al. (in review)](https://www.the-cryosphere-discuss.net/tc-2018-254/) for our motivations and a discussion about why it is crucial to include frontal ablation in regional ice thickness estimates."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## What's next?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You have several options from here:\n",
"- return to the [OGGM documentation](https://docs.oggm.org)\n",
"- explore other tutorials on the [OGGM-Edu](https://edu.oggm.org) platform."
]
}
],
"metadata": {
"celltoolbar": "Raw Cell Format",
"hide_input": false,
"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": "3.6.5"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": false,
"sideBar": true,
"skip_h1_title": true,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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