{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Boursiac et al. 2022\n", "\n", "- The purpose of this notebook is to reproduce most of the figures and tables of the paper: Yann Boursiac, Christophe Pradal, Fabrice Bauget, Mikaƫl Lucas, Stathis Delivorias, Christophe Godin, Christophe Maurel, Phenotyping and modeling of root hydraulic architecture reveal critical determinants of axial water transport, Plant Physiology, 2022;, kiac281, https://doi.org/10.1093/plphys/kiac281\n", "- The main parameters are pass to the python scripts via a yaml file by command line\n", "- the scripts may have some command line arguments, for example: '-o' to give the name of an ouput file when it may have one, '-op' to specify if parameters adjustment must be performed, etc. \n", "- due to very long run time, especially for the adjustment on cut and flow experiments, some figures are simply from csv files containing results\n", "- however an example, figure 2-B, is given with a reasonable run time of about 20 minutes, other adjustment may then be tried by changing the architecture file name in the yaml file\n", "- still to get reasonable run times, some shortest sets of data have been used (e.i. for Figure 5 and supplemental figure 8), but the full set may be used by uncommenting a line in the python script)\n", "\n", "**Remark:** this is the python 3 HydroRoot version, unfortunately its generator uses random.randint() that is known to give different results with the same seed between python 2 and 3 (see for instance this __[issue](https://github.com/python/cpython/issues/53271)__). Therefore, that python 3 notebook cannot reproduce exactly the same architectures with a given seed than the architectures in Boursiac2022 where results were obtained with a python 2 version. That may explain slightly different results ." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Python 3.9.13 | packaged by conda-forge | (main, May 27 2022, 16:58:50) \n", "[GCC 10.3.0] on linux\n" ] } ], "source": [ "import sys; print('Python %s on %s' % (sys.version, sys.platform))\n", "sys.path.extend(['../../src'])\n", "import time\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "#plt.ion()\n", "# to display inline plots in the notebook\n", "%matplotlib inline\n", "# to be able to use the plantGL viewer in 3D\n", "# %gui qt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 1-B:\n", "- see end of simulation_fig-1B-3C-6E-7B.py to adjust picture size, and visual radius of the root\n", "- '--prop' argument allows to specify the property to display, here the order of the root is proposed to reflect the paper's figure. But other properties may be displayed as, for example: j the radial flux, J_out the axial flux, psi_in the hydrostatic pressure inside the xylem vessels." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plant-01.txt 1.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%run simulation_fig-1B-3C-6E-7B.py parameters_fig-1B.yml --prop order" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2-A" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "draw = pd.read_csv(\"data_figures/fig_2-A.csv\", sep =';')\n", "fig = {}\n", "ax5 = {}\n", "ax6 = {}\n", "\n", "fig = plt.figure()\n", "ax5 = fig.add_subplot(111, label = \"1\")\n", "draw.plot.line('Time (sec)', 'FLOW (?L.s-1)', color = 'black', ax = ax5)\n", "ax5.set_title('figure 2-A')\n", "ax5.set_ylabel('J uL/s')\n", "ax6 = fig.add_subplot(111, label = \"2\", frame_on = False)\n", "ax5.get_legend().remove()\n", "draw.plot.line('Time (sec)', 'Pressure (kPa)', ax = ax6, color = 'pink')\n", "ax6.yaxis.tick_right()\n", "ax6.yaxis.set_label_position('right')\n", "ax6.set_ylabel('dP (kPa)')\n", "ax6.get_xaxis().set_visible(False)\n", "ax6.tick_params(axis = 'y', color = \"pink\")\n", "ax6.get_legend().remove()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2-B: \n", "- run the adjustment of K and k see file parameters_fig-2-B.yml for the initial guesses of these parameters\n", "- run time is around 20 minutes\n", "- the '-op' argument allows to run the adjustment of the parameters K and k. Without this argument, a direct simulation with parameter values from parameters_fig-2-B.yml is run\n", "- add '-o' as argument followed by a file name to save results in a csv" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Simulation runs: 1\n", "#############################\n", "finished minimize ax, ar fun: 4.8828008046912096e-05\n", " hess_inv: <2x2 LbfgsInvHessProduct with dtype=float64>\n", " jac: array([ 9.02094015e-06, -6.94380674e-07])\n", " message: 'CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL'\n", " nfev: 36\n", " nit: 10\n", " njev: 12\n", " status: 0\n", " success: True\n", " x: array([0.61020848, 5.7837016 ])\n", "*******************************************************************************\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/fabrice/miniconda2/envs/hydroroot39/lib/python3.9/site-packages/scipy/optimize/_optimize.py:284: RuntimeWarning: Values in x were outside bounds during a minimize step, clipping to bounds\n", " warnings.warn(\"Values in x were outside bounds during a \"\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "finished minimize Kx fun: 6.945937548233918e-10\n", " jac: array([-5.90800684e-05, -1.71418864e-04, -2.71816317e-04, -7.61970134e-04,\n", " -9.92031455e-04, -2.77793934e-04, -1.11403983e-04, -8.61957204e-04,\n", " -2.27564250e-04])\n", " message: 'Optimization terminated successfully'\n", " nfev: 253\n", " nit: 24\n", " njev: 24\n", " status: 0\n", " success: True\n", " x: array([0.00047371, 0.00019327, 0.00052036, 0.0003354 , 0.00046673,\n", " 0.0024571 , 0.00343671, 0.00274265, 0.00127265])\n", "Simu, 601.5049667084518 1.3327101531260848e-10 601.9238958820997 dk0 = 0.17550165253334504 dKx = 3.5815476958462954e-06\n", "finished minimize Kx fun: 1.0235507517735802e-10\n", " jac: array([-3.34248816e-05, -2.14819139e-05, 1.49795231e-05, 2.73097200e-05,\n", " -2.85809820e-04, -1.19857727e-04, -3.73311087e-05, -1.57034561e-04,\n", " -4.76678046e-05])\n", " message: 'Optimization terminated successfully'\n", " nfev: 14\n", " nit: 1\n", " njev: 1\n", " status: 0\n", " success: True\n", " x: array([0.00047375, 0.00019329, 0.00052034, 0.00033537, 0.00046702,\n", " 0.00245722, 0.00343675, 0.00274275, 0.00127275])\n", "Simu, 601.9238958820997 6.476142797028783e-11 601.8151154233923 dk0 = 0.011833188196598624 dKx = 1.209471709773737e-13\n", "finished minimize Kx fun: 4.931767039832394e-11\n", " jac: array([-1.06116688e-05, -1.15462435e-05, 2.78035686e-05, 1.31006780e-04,\n", " -1.18955535e-05, -2.77397304e-05, -7.21262385e-06, -4.01540455e-06,\n", " -4.24142322e-06])\n", " message: 'Optimization terminated successfully'\n", " nfev: 14\n", " nit: 1\n", " njev: 1\n", " status: 0\n", " success: True\n", " x: array([0.00047377, 0.00019331, 0.00052029, 0.00033515, 0.00046704,\n", " 0.00245727, 0.00343676, 0.00274276, 0.00127276])\n", "Simu, 601.8151154233923 3.8185516152392346e-11 601.8742881856912 dk0 = 0.0035014157980804137 dKx = 5.564586359734789e-14\n", "200703-YBFB-Col-2-cut-n-flow-archi2.txt 0.1628 60.18742881856912 3.3767 0.0010193143665442083 0.05319875980456216\n", "200703-YBFB-Col-2-cut-n-flow-archi2.txt 0.101 60.18742881856912 3.0607 0.0009138448179777508 0.05489893643554122\n", "200703-YBFB-Col-2-cut-n-flow-archi2.txt 0.0691 60.18742881856912 2.0475000000000003 0.000599681468547903 0.060604958118612946\n", "200703-YBFB-Col-2-cut-n-flow-archi2.txt 0.0464 60.18742881856912 1.1485 0.00033029649584700766 0.08379669344259685\n", "running time is 1214.3885786533356\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%run adjustment_K_and_k.py parameters_fig-2-B.yml -op" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2-C\n", "- Because the total run time of the 10 adjustments is high (at least 20 min per plant) only the plot of the final results is displayed from a csv file\n", "- however the user may reproduce them by changing the input_file name in parameters_fig-2-B.yml keeping the same initial guesses for k and K. These files are located in the folder data and contain the following string: 160316#2, 2020-01-19-9h06, 15012020-1045, 200219-ybfb-col, 200619-ybfb-col-1, 200619-ybfb-col-2, 200702-ybfb-col-1, 200703-ybfb-col-2, 200703-ybfb-col-3, 200724-ybfb-col-1" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'fig-2-C')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "draw = pd.read_csv(\"data_figures/fig_2-C.csv\", sep =',', dtype ='float')\n", "ax = draw.plot('x K median', 'mediancurve from cut and flow measurements',color='m')\n", "draw.plot('x K median', 'median -t*SE', color='m', ax=ax, style='--')\n", "draw.plot('x K median', 'median + t*SE', color='m', ax=ax, style='--')\n", "for i in range(0,20,2):\n", " color = (1.0-float(i)/40.0,0.35,0.35)\n", " draw.plot.scatter(i,i+1, ax = ax, color = color, edgecolor = color)\n", "ax.set_ylim(0.0, 6.0)\n", "draw.plot('dist. From tip (m)', 'K lowess from Poiseuille\\'s law on xylem', color='k', ax=ax)\n", "draw.plot('dist. From tip (m)', 'Unnamed: 31', color='k', ax=ax, style='--')\n", "draw.plot('dist. From tip (m)', 'Unnamed: 32', color='k', ax=ax, style='--')\n", "ax.get_legend().remove()\n", "ax.set_ylabel('K')\n", "ax.set_title('fig-2-C')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 2-D" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'fig-2-D')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAEICAYAAABYoZ8gAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAAsTAAALEwEAmpwYAAAWc0lEQVR4nO3de5BlZX2v8ecrECCCgmHAEZFRBIWgDsmIeDCmASF4icIptUJyDCTiaCpGjEZjpRKVaJUm0Wg4xsug4MQQDV6IhDtBCJejaAMDMjIekDNcdGCaeDyCIDjwO3/sNdLOdPfe3dNrb3rW86na1eu+frtq93ev9e613pWqQpLUHY8bdQGSpOEy+CWpYwx+SeoYg1+SOsbgl6SOMfglqWMMfnVOkmcluS7JvUkeSfJXo65JGiaDX130TuCyqtq5qh5XVe+by0aSHJLk4iQ/TDKR5ItJFs+w/FjzRXNf87ozyZlJnj/ndyLNgcGvLtobWD0P29kVWAEsabZ5L3B6n3V+UFU7ATsDhwBrgCuSHDEP9UgDiXfuqkuSfA34TeBnwAbgbODWqvrLZv47gT8FCng3cCqwb1XdMsC2fw34z6raeZr5Y8A/V9VTN5n+MeCQqlo2x7clzYpH/OqUqjocuAJ4c3Pk/dDGeUmOBt4GvAR4Jr0viNl4MXM7k/gK8GtJHj+HdaVZM/ilR70WOL2qVlfV/cDJg66Y5Ln0zhDeMYf9/gAIsMsc1pVmzeCXHvUU4I5J4z8fTvK0ST/K3jd5pSTPBM4HTqqqK/otP4U96TUt/Wg+3oTUz7ajLkB6DFkHTG5/32vjQFXdDuy06QpJ9gb+A3hfVX2u3/LTOBa4tqp+Mpeipdky+KVHnQmcluRzwG30mm6mlWRP4GvAP1bVJ2ezoyShd4ZxYvN65ZwqlubAph6pUVXnA6cAlwK3AF9vZj04zSonAs8A3jOLZp2nNMvcB3wLeA4wVlUXbfEbkAbk5ZzSNJLsD9wIbF9VG0ZdjzRfPOKXJklybJJfSrIr8DfAvxv62toY/NIveiMwAXwPeBj4o9GWI80/m3okqWM84pekjlkQl3PutttutWTJklGXIUkLyjXXXHNPVS3adPqCCP4lS5YwPj4+6jIkaUFJcttU023qkaSOMfglqWMMfknqGINfkjqmteBPskOSbya5PsnqJCc309+b5PtJVjWvl7VVgyRpc21e1fMgcHhV3ZdkO+DKJOc38z5SVR9qcd+SpGm0FvzVuyV4Y0+F2zUvbxOWpBFrtY0/yTZJVgHrgYur6upm1puT3JDktKYzrKnWXZ5kPMn4xMREm2VKUqe0GvxV9XBVLaX3VKODkxwIfALYB1hK74lHH55m3RVVtayqli1atNmNZ5KkORrKVT1V9SPgMuDoqrq7+UJ4BDgVOHgYNUianbGxMcbGxkZdhlrQ5lU9i5Ls0gzvCLwEWJNk8aTFjqX3oAtJ0pC0eVXPYmBlkm3ofcGcWVXnJPlckqX0fuhdS6//c0nSkLR5Vc8NwEFTTH9dW/uUJPXnnbuS1DEGvyR1jMEvSR1j8EtSxxj8ktQxBr8kdYzBL0kdsyAeti5tLZY8bW9uu+P2UZcxK0lGXcKs7L3X01h7+5TPGFfD4JeG6LY7bqcu+9aoyxjI2Em9m+ov+4dPjbiS2cnY80ddwmOeTT2S1DEGvyR1jMEvSR1j8EtSxxj8ktQxBr8kdYzBL0kdY/BLUscY/JLUMd65K2lKC+2OXQ3OI35J6pjWgj/JDkm+meT6JKuTnNxMf1KSi5Pc3Pzdta0aJEmba/OI/0Hg8Kp6HrAUODrJIcC7gEuqal/gkmZckjQkrQV/9dzXjG7XvAp4FbCymb4SOKatGiRJm2u1jT/JNklWAeuBi6vqamCPqloH0Pzdvc0aJEm/qNXgr6qHq2op8FTg4CQHDrpukuVJxpOMT0xMtFajJHXNUK7qqaofAZcBRwN3J1kM0PxdP806K6pqWVUtW7Ro0TDKlKROaPOqnkVJdmmGdwReAqwBzgaObxY7HvhqWzVIkjbX5g1ci4GVSbah9wVzZlWdk+TrwJlJXg/cDrymxRokSZtoLfir6gbgoCmm/xdwRFv7lSTNzDt3JaljDH5J6hiDX5I6xuCXpI4x+CWpYwx+SeoYg1+SOsbgl6SOMfglqWMMfknqGINfkjrG4JekjjH4JaljDH5J6hiDX5I6xuCXpI4x+CWpYwx+SeoYg1+SOsbgl6SOMfglqWNaC/4keyW5NMlNSVYnOamZ/t4k30+yqnm9rK0aJEmb27bFbW8A3l5V1ybZGbgmycXNvI9U1Yda3LckaRqtBX9VrQPWNcP3JrkJ2LOt/UmSBjOUNv4kS4CDgKubSW9OckOS05LsOs06y5OMJxmfmJgYRpmS1AkDBX+SxyU5KMnLkxyeZI9Bd5BkJ+DLwFur6sfAJ4B9gKX0zgg+PNV6VbWiqpZV1bJFixYNujtJUh8zNvUk2Qf4c+AlwM3ABLADsF+S+4FPASur6pFp1t+OXuifUVVfAaiquyfNPxU4Zx7ehyRpQP3a+N9P7wj9jVVVk2ck2R34XeB1wMpNV0wS4DPATVX195OmL27a/wGOBW6ce/mSpNmaMfir6rgZ5q0HPjrD6ofS+1L4dpJVzbS/AI5LshQoYC3wxoGrlSRtsYGv6klyIHAAvaYeAKrqn6ZbvqquBDLFrPNmU6AkaX4NFPxJ3gOM0Qv+84CXAlcC0wa/JOmxadDLOV8NHAHcVVV/ADwP2L61qiRJrRk0+B9ortzZkOQJwHrgGe2VJUlqy6Bt/ONJdgFOBa4B7gO+2VZRkqT29A3+JIuA0wCq6pNJLgCeUFU3tF2cJGn+zdjUk+REYDXwP4E1SV5ZVWsNfUlauPod8b8V+NWqmkjyDOAM4OzWq5Iktabfj7sPVdUEQFXdilfySNKC1++I/6lJTpluvKre0k5ZkqS29Av+d2wyfk1bhUiShqNfXz2bdb4mSVrY+nXLPOMPuVX1yvktR5LUtn5NPS8E7gA+T+/pWVN1uiZJWkD6Bf+TgSOB4+j1vX8u8PmqWt12YZKkdsx4OWdVPVxVF1TV8cAhwC3AZUn+ZCjVSZLm3SBdNmwPvJzeUf8S4BTgK+2WJUlqS78fd1cCBwLnAydXlY9JlKQFrt8R/+uAnwD7AW/pPUYX6P3IW1X1hBZrkyS1oN91/IP21y9JWiD69c45nuQfkhydZIeZlpUkLQz9jugPAc6i97zd/0xyXpKTkuzXemWSpFb0u5xzQ1VdVlXvqqoXAK8H7gXen+S6JB+fbt0keyW5NMlNSVYnOamZ/qQkFye5ufm767y+I0nSjGbVhl9V64DPAicCv06vf/7pbADeXlX70ztz+OMkBwDvAi6pqn2BS5pxSdKQDBT8Sf4lyROSPB74DvBdeqF+1XTrVNW6qrq2Gb4XuAnYE3gVsLHzt5XAMXMvX5I0W4Me8R9QVT+mF9LnAU+jd6nnQJIsAQ6i19/PHs2Zw8YziN2nWWd58+Py+MTExKC7kiT1MWjwb5dkO3rB/9Wq+hlQg6yYZCfgy8Bbmy+PgVTViqpaVlXLFi1aNOhqkqQ+Bg3+TwFrgccDlyfZG+gb4s2XxZeBM6pqYzcPdydZ3MxfDKyfbdGSpLnrdx3/C5Okqk6pqj2r6mVVVcDtwGF91g3wGeCmqvr7SbPOBo5vho8Hvjr38iVJs9XviP944JokX0hyQpInQ6+vhqra0GfdQ+n9DnB4klXN62XAB4Ejk9xMr8vnD27he5AkzUK/LhveBJDk2cBLgc8meSJwKXABcFVVPTzNulcy/YNbjphzxZKkLTJQG39Vramqj1TV0cDhwJXAa+hdpSNJWkAGvoErya5JngvsD9wFnF5Vy1qrTJLUir4PYgFI8j7gBOBW4JFmctE7+pckLSADBT/wWmCfqnqozWIkSe0btKnnRmCXFuuQJA3JoEf8HwCuS3Ij8ODGiVX1ylaqkiS1ZtDgXwn8DfBtHm3jlyQtQIMG/z1VdUqrlUiShmLQ4L8myQfodbcwuann2laqkiS1ZtDgP6j5e8ikaV7OKUkL0EDBX1UzdsgmSVo4ZvXoRUnSwmfwS1LHGPyS1DF9gz/Ji5M8qxl+UZI/S/Ly9ktbuMbGxhgbGxt1GZI0pRl/3E3yUeBgYNskF9LrR/984E+TjFXVO9ovUZI0n/pd1XMkcCCwI/B9YM+quj/JB4HrAINfkhaYfk091Txjd3JXzDTj/j4gSQtQvyP+c5NcAewAfBo4M8k3gN8ELm+7OEnS/Ov3zN0/T/LC3mB9I8k+wLH0vgS+NIwCJUnzq++du1X19UnD30uypqrOabcsSVJb5tJO/9eDLJTktCTrmz78N057b5LvJ1nVvF42h/1LkrbAXII/Ay73WeDoKaZ/pKqWNq/z5rB/SdIWmEvwv3GQharqcuCHc9i+JKlFAwV/kl9O8ldJTq2qbybZN8kr5rjPNye5oWkK2nWGfS5PMp5kfGJiYo67kiRtatAj/tPpPYDlhc34ncD757C/TwD7AEuBdcCHp1uwqlZU1bKqWrZo0aI57EqSNJVBg3+fqvpb4GcAVfUAg7f1/1xV3V1VD1fVI8Cp9LqDkCQN0aDB/1CSHWnu3G2u539w5lU2l2TxpNFjgRunW1aS1I5BH734HuACYK8kZwCHAifMtEKSzwNjwG5J7my2MZZkKb0vkLUM+EOxJGn+DProxYuTXEvvmbsBTqqqe/qsc9wUkz8z+xIlSfNp0CN+quq/gHM3jid5dlWtaaUqSVJrtqSHzYvmrQpJ0tD0exDLKdPNAnaZ92okSa3r19TzB8DbmfoKnqna8CVJj3H9gv9bwI1V9b82nZHkva1UJElqVb/gfzXw06lmVNXT578cSVLb+j2IxU7WJGkrM+NVPUn+PclvJ9luinnPSPLXSf6wvfIkSfOtX1PPG4C3AR9N8kNggt7zd5cA3wM+VlVfbbVCSdK86tfUcxfwTuCdSZYAi4EHgP9dVfe3X54kab7N5s7dtfT615EkLWBbcueuJGkBMvglqWMGffTir08x7bfnvxxJUtsGPeI/NclzNo4kOQ74y3ZKkiS1adAfd18NfCnJ7wEvAn4fOKq1qiRJrRn0QSy3Jvkd4N+AO4CjmufuSpIWmH7dMn+b5jm7jScB2wBXJ6GqnttmcZKk+dfviP8VQ6lCkjQ0/e7cvW1YhUiShsPr+CWpYwbusmG2kpxGr6lofVUd2Ex7EvCv9Dp5Wwu8tqr+b79tXX/99SRpq9TWLKSa99hjD+66665RlyFpCNo84v8scPQm094FXFJV+wKXNON9bdiwYX4r02buvvvuUZcgaUhaC/6quhzY9EEurwJWNsMrgWPa2r8kaWqtNfVMY4+qWgdQVeuS7D7dgkmWA8uHVpkkdcSwg39gVbUCWAGQpPosLkka0LCv6rk7yWKA5u/6Ie9fkjpv2MF/NnB8M3w84GMbJWnIWgv+JJ8Hvg48K8mdSV4PfBA4MsnNwJHNuCRpiFpr46+q46aZdURb+5Qk9eedu5LUMQa/JHWMwS9JHWPwS1LHGPyS1DEGvyR1jMEvSR1j8EtSxxj8ktQxBr8kdYzBL0kdY/BLUscY/JLUMQa/JHWMwS9JHWPwS1LHGPyS1DEGvyR1jMEvSR1j8EtSxxj8ktQx245ip0nWAvcCDwMbqmrZKOqQpC4aSfA3Dquqe0a4f0nqJJt6JKljRhX8BVyU5Joky6daIMnyJONJxodcmyRt1UbV1HNoVf0gye7AxUnWVNXlkxeoqhXACoAkNYoiJWlrNJIj/qr6QfN3PXAWcPAo6pCkLhp68Cd5fJKdNw4DRwE3DrsOSeqqUTT17AGclWTj/v+lqi4YQR2S1ElDD/6quhV43rD3K0nq8XJOSeoYg1+SOsbgl6SOMfglqWMMfknqGINfkjrG4JekjjH4JaljDH5J6hiDX5I6xuCXpI4x+CWpYwx+SeoYg1+SOsbgl6SOMfglqWMMfknqGINfkjrG4JekjjH4JaljDH5J6piRBH+So5N8N8ktSd41ihokqauGHvxJtgH+EXgpcABwXJIDhl2HJHXVKI74DwZuqapbq+oh4AvAq0ZQhyR10rYj2OeewB2Txu8EXrDpQkmWA8ub0fuA77ZfWqftluSeURfRBRl7/qhL2Nr5WX7U3lNNHEXwZ4pptdmEqhXAivbLEUCS8apaNuo6pC3lZ7m/UTT13AnsNWn8qcAPRlCHJHXSKIL/W8C+SZ6e5JeA3wHOHkEdktRJQ2/qqaoNSd4MXAhsA5xWVauHXYc2Y7OathZ+lvtI1WbN65KkrZh37kpSxxj8ktQxBv8Ck+ThJKuS3Jjki0l+eYZlXznfXWIk+fTGO62TrE2yWzN833zuRwtbkicn+UKS7yX5TpLzkuw3w/JvnemzvIW1jCU5Z5p5v5FkdfM/tX+SG9uo4bHG4F94HqiqpVV1IPAQ8KbpFqyqs6vqg/O586o6saq+M5/b1NYlSYCzgMuqap+qOgD4C2CPGVZ7K9BK8Pfxe8CHqmop8MAI9j8SBv/CdgXwzCRPSvJvSW5I8o0kzwVIckKSjzXDr2nOEq5PcnkzbZskf5fkW826b2ym/8IRUpKPJTmhGb4syYw3xyR5x6RtntzOW9dj2GHAz6rqkxsnVNUqYJupPldJ3gI8Bbg0yaWbbizJkiRXJLm2ef23ZvpY83n8UpI1Sc5ovnQ2dgS5JsmVwH+fqsgkJwKvBd6d5IxN5u2Q5PQk305yXZLDmunnTfr/ui7Ju5vh9zXbWxBGceeu5kGSbel1dHcBcDJwXVUdk+Rw4J+ApZus8m7gt6rq+0l2aaa9Hvh/VfX8JNsDVyW5aAvrOgrYl16fTAHOTvLiqrp8S7arBeVA4JpBF66qU5K8DTisqqbqamE9cGRV/TTJvsDngY0HHwcBv0rvJtCrgEOTjAOnAocDtwD/Os1+P53kRcA5VfWlJEsmzf7jZpnnJHk2cFHTVHU58BtJ1gIbgEOb5V8E/POg73nUPOJfeHZMsgoYB24HPkPvQ/c5gKr6GvArSZ64yXpXAZ9N8gZ6908AHAX8frO9q4FfoRfaW+Ko5nUdcC3w7HnYprptO+DUJN8GvkivV9+NvllVd1bVI8AqYAm9z9z/qaqbq3e9+lwCefL/1BrgNmA/emfZL27mnwvs1Pw2saSqFkx/Yh7xLzwPNO2RP7fx9HYTv3CDRlW9KckLgJcDq5IspXdE/idVdeEm23sRv3hQsMMs6gvwgar61CzW0dZlNfDqKaZvYIDPVZJjgfc0oycCrwDuBp7XrP/TSYs/OGn4YR7NtClvUEpyIb3fGsaraqamman+p6DX88Ay4FbgYmA34A3M4gznscAj/q3D5fR+pCLJGHBPVf148gJJ9qmqq6vq3cA99PpLuhD4oyTbNcvsl+Tx9I5uDkiyfXPmcMQsarkQ+MMkOzXb3DPJ7lv07rTQfA3Yvjm7BCDJ8+mdaU73uboX2Bmgqs5qLmBYWlXjwBOBdc1R/et49Ix1OmuApyfZpxk/buOMqvqtZrv92uMn/0/tBzwN+G7Tlfwd9H4b+Aa9M4A/a/4uGB7xbx3eC5ye5AbgfuD4KZb5u6Z9NMAlwPXADfROja9tzhomgGOq6o4kZzbzb6bXbDOQqrooyf7A15sTkfuA/0GvnVYdUFXVHLV/NL3LiX8KrKV35c50n6sVwPlJ1lXVYZts8uPAl5O8BrgU+Emf/f80vW7dz02ve+Yr6f3uMBsfBz7ZNC9tAE6oqo1nF1cAR1TV/UmuoNfR5IIKfrtskKSOsalHkjrG4JekjjH4JaljDH5J6hiDX5I6xuCXpI4x+CWpY/4/QF8yGZZbjrAAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "barwidth = 0.4\n", "cut_n_flow = [9.86, 47.68, 71.43, 21.97, 60.15, 34.16, 10.19, 23.42, 26.62, 22.17]\n", "se1 = np.std(cut_n_flow)/np.sqrt(len(cut_n_flow))\n", "poiseuille = [3.39, 7.08, 8.7, 5.59, 13.12, 8.3, 19.22, 22.13, 12.76, 4.03]\n", "se2 = np.std(poiseuille)/np.sqrt(len(poiseuille))\n", "plt.bar(0.2, np.mean(poiseuille), width = barwidth, color = 'black', edgecolor = 'black', yerr=se1, label = 'poiseuille')\n", "plt.bar(1.0, np.mean(cut_n_flow), width = barwidth, color = 'pink', edgecolor = 'black', yerr=se2, label = 'cut_n_flow')\n", "plt.xlim(0,1.5)\n", "plt.xticks([0.4, 1.2], ['Poiseuille', 'Cut-and-flow'])\n", "plt.ylabel('k (1e-8 m/s/MPa)')\n", "plt.title('fig-2-D')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Table 1:\n", "- add argument '-o' followed by a file name to save results to a csv file" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Simulation runs: 10\n", "#############################\n", "plant-10.txt plant total length (m) surface (m2) k (10-8 m/s/MPa)\n", "0 plant-01.txt 1.6260 0.000463 3.393467\n", "1 plant-02.txt 1.8761 0.000518 7.081622\n", "2 plant-03.txt 1.5992 0.000448 8.699297\n", "3 plant-04.txt 0.7099 0.000220 5.586774\n", "4 plant-05.txt 1.8824 0.000510 13.124087\n", "5 plant-06.txt 1.1174 0.000336 8.298469\n", "6 plant-07.txt 2.1262 0.000603 19.224790\n", "7 plant-08.txt 2.1082 0.000605 22.132164\n", "8 plant-09.txt 1.1336 0.000360 12.764829\n", "9 plant-10.txt 0.7824 0.000259 4.029486\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%run simulation_table-1.py parameters_table-1.yml" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 3-A and 3-B" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'fig-3-B')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df3a = pd.read_csv(\"data_figures/fig-3-A.csv\", sep =',', dtype ='float')\n", "df3a.iloc[:,range(0,43,2)]=df3a.iloc[:,range(0,43,2)]/1000\n", "ax = df3a.plot.scatter(0,1,marker='o',color='black',edgecolor ='black')\n", "for i in range(2,26,2):\n", " df3a.plot.scatter(i,i+1,marker='o',color='black',edgecolor ='black',ax=ax)\n", "for i in range(26,43,2):\n", " df3a.plot.scatter(i,i+1,marker='o',color='white',edgecolor ='grey',ax=ax)\n", "# ax.set_xlim(0,0.16)\n", "ax.set_ylim(0,80)\n", "ax.set_ylabel('Number of lateral roots')\n", "ax.set_xlabel('distance to tip (m)')\n", "ax.set_title('fig-3-A')\n", "df3b = pd.read_csv(\"data_figures/fig-3-B.csv\", sep =',', dtype ='float')\n", "df3b.iloc[:,[0,2]]=df3b.iloc[:,[0,2]]/1000\n", "ax = df3b.plot.scatter(1,0,marker='o',color='black',edgecolor ='black')\n", "df3b.plot.scatter(3,2,marker='o',color='white',edgecolor ='black',ax=ax)\n", "ax.set_xlim(0,110)\n", "ax.set_ylim(0,0.14)\n", "ax.set_ylabel('Lateral root length (m)')\n", "ax.set_xlabel('relative distance to tip (%)')\n", "ax.set_title('fig-3-B')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 3-C\n", "- see end of the script simulation_fig-1B-3C-6E-7B.py to adjust picture size, and visual radius of the root\n", "\n", "**Remark:** this is the python 3 HydroRoot version, unfortunately its generator uses random.randint() that is known to give different results with the same seed between python 2 and 3 (see for instance this __[issue](https://github.com/python/cpython/issues/53271)__). Therefore, that python 3 notebook cannot reproduce exactly the same architectures with a given seed than the architectures in Boursiac2022 where results were obtained with a python 2 version. That may explain slightly different results ." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10318687 1.0\n" ] }, { "data": { "image/png": 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\n", 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\n", 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UFEnI6IhEFvqq/MrKNnT7mC6YedyolzpOrHyA/LB1PSXF4MjoKEQW+nd5n8o2VNJ8aUGni4icq/hgVQP01AvHk/7MuoGSYkBkdOgiC31X3r3CDY2TQ8s6f8vHWedUNUA/mHo86YPWTVXdEBSLjA5XZKFL5ecr3FBJepl0WKehqCTJh1vnVjhAO48n/al1a4U3BEUho0MUWWih/HTFGyppU5fv+yDr7yoZoBnv3fsea1klNwQFIqPDElnoWnlD5RsaWeib3W/m11tfrEOAvMparji98huCkSGjQxFZ6Cb54co3tM2v6mlDvK/1jUqWdMY8pF5p3aU4tXobgkKQ0fxFFlou/7QODY0Phhb3cXvvZZ1fsZJ2nHXUd1r3KH6jShuCopDRnEUWWqXyTFqcai95bX/b4pb1/YqVtCMvt35f8ZHKbwiGjYzmKbLQg/KymjQ0TgitGeQHvdlaVKWSPrHLfn2bx60HFKdUZkNQCDKam8hCa+UbatJQSXqVvGTAzfGj1o2KV1QjQJfPPn/zLW+W1ip+pRobgkKQ0XxEFnpCXlyjhnbwfF+39gPW/kNak6HoOCC9x/bN1kbF8ZQUnZHRHEQW2iJfXquGxqmhi1MX4rsch1ejPnNf3s5Lra2K91VjWzBiZDRVZKGWfEmtGipJ8+WtOWyUb3Y9xnG+wdpN8a46bAvyRUZz4PPr1tA4OXT7lE+fTWvH2Yr/Wo36zH0he19v7aXKTbSKYSOjSSILT9StoZL0MnnFlO1ambQwn2Sdq1hQ9vr0ctl6X2e9YgTrgioho4OLLPRbRa/EkDy988PYM7Q2dXk+osITQc3ga/wbEVlEFvEbXOkeZHRgkYV+Rz6phkPRyEJTN2uVPG5Jas1LWazfYX2m7CVd322/vu1ie+xRTdh3jGCdUHpkdBCRhX5PPr6GDW3z3pObFq8I3fPCV1Mj6Dda/1Tqkl7Zw359m69yjMe9Pd8eNUZG+xZZ6GPysfV8/sQpoeumfL56x1BU0m9uTT9f3vtZXy11SdXbgFSSr3S8v9QbgtEgo/2JLPRH8lH1bKgk7S0/NGVO+F+cPh1ny/peckn3sf6jvCXt5Y2mF3ih4+SSbghGhoz2IbLQn8hH1LahcULooS638bPWRckl3c26pLwl7cuylyt+rQ4bgoGR0V5FFvqEfHhtGypJr5L+tvutvC2HCHqLtbC8Je1xv17S3bZ/6PhASTcEI0BGexJZ6Bz5sFo3VJJ6fb3CW6xLk0u6wVqieEPpAjRh39Lnj/gHlLS5yGh3kYU+Lb+t5g2Nj4S+38ft/bT1w+SSrrH2SFnAsAzyFvyfMqVeQ5HRLiIL/aP8ppo3VJJ2lzf3OUPzJutHySW923FYHerj460zFR+sw7agL2R0LpGFviT/Uv0bGstCdw3yg96Yw0ucvs1xTB3q46OtsxQfqsO2oHdkdFaRhb4284ifuvKh9h2DztC8wboquaTX1eTIIb/XOlPx4ej9TSpUHRntLLLQt+WXNKKh6fyYtTj5bfdzanLhIx9p/R+NbSt6PTAqZLSDyEIXyPNp6BStMWlsju97rXVNUkl9lHV2eQ+B6osPd23+VUBXZHSmyEKXys/R0J0iCz3V/WZ+xPqx4vSEkh5q/VVdSnqI9Zdc7L4RyOg0kYUWyk/T0Om2SPts7OWG/rl1Q1pJ32x9ti4lPdj6DCWtPzK6U2Sh6+QNNHSaODX6ukSK11g3pZX0NdZX6lLSt1h/X4Epq5GCjE6KLHTTtFk5oB2HzfbL91u3pJX0Zda/16Wkb7A+R0nrjIxK7VjcLv+Uhk4TWWiJ/PpBHhbfZ92WVtLdrQvrUtLXWl+gpLVFRhVZaNX0Sw+h/bCskdcM/rD4Hmt5Wkm3W5fXpaT7e9n8mmwLZmh6RiMLPSgvo6HTxB6hx+QlUx+WrdLu/S7Hd1t3pJX0Ces6xTvrUJ+7bf1fSlpDjc5oZKG18g00dBcny1fl87B4hbVCcVpCSR/y1EvsVZpfZX2ZktZNczMaWegJeTENnSlOD30izwX6DmtVWknvcRxSk/T45dbXKWmtNDSjkYW2yJfT0JkiC31HPjrnR8bLrXvTSvoTx5E1SY/3tv6NktZHEzMaWailvo6FbIjIQvcM6yxY32bdl1bSJfW5hJz3YO++PhqX0fYfrs+noTPFB6M1Jt86xEfGt1oPKG5JaMdZil+vSXr8cutrlLQOGpdRSZ6goR209h7Fvfgm+90JB1EdV5/pSyT5Jda/1mdzGqtZGY0s9FtFr0QpxUei2wWIdlNrrhmeRsbvtj5Vn/T4RdZ36rM5zdSgjEYW+h35JIaiM0UWOk/qegGiTWV5tvtA67yyrEw6z7O+W5/NaaCmZDSy0O/Lx9PQmSILXdHbxaZ+oaXSTEXsA6wv1Sc9ft66uD6b0zSNyGhkoT+Uj6GhM0UWukN+vNdHxhe5PE91/2KtXlj0VusH9dmcRql/RiMLfVw+kobOFMeE7pfv6vORSb6AXY78olrtDvup+swh0Cg1z2hkoT+R30tDO3mpvLTvR8YbXJ4XSdXeHf5hidYnkZ+wFtVncxqizhmNLHSmfDgN7aA9SB+Mf2htzXVt0niTtVhxbE3S40etaylpldQ2o5GFPiUfSkM7iCz0ZfnEhOM3L3bKvE2581rr50WvRH78sHUDJa2MemY0stDfyAfS0A4iC10lvzz5wbmkXM9z3+d4e4nWJ5EftG4p1yOM2dQwo5GFPiu/gYZ2EB8OLZMf6//Bae074wveaj1Zrue573AcUaL1SeR7reXleoTRUd0yGlnon+XX0NAO4sTQk/Kqvh+cyEI/7PB1X2ZtyWHFcuQbHSfWpztead1FScuuVhmNLPR1+RU0dBavHGQy5smGfmBTx+/6EqdM2jQUZyk+WLJVSuA7rNWUtNTqk9HJiTL3pqGdtY9bGOSnLpM3zfmo/vbAKzUUPtE6q1bd8W3W/bXaopqpSUYjC31PnkdDO4ss9K2+j1uYbOiTXX7K46V72P3eWk0EJclLrZ/VaovqZMxzz0ZRBZGFvi9vrvyGDElkoUXyo0mPT8QHpJfYE3mtFQYQx4f2Y6bH0qn8aDSy0JU0dFZxSmh1akNREl5srWdMWjqVz6gn7PU0YnZj8m08PvXhK62NlLRcKp9RzCGy8KU0tG78I+tpSloiZLS2Igv9RdErgeHwpdZ2SloWZLSeIgt9W34rQ9Ha8oWWKGkpkNEaitNDS4d1nWSUR/ste0paODJaN7EgtF6+n4Y2AiUtAzJaO/MGOeOzBy8ewjKRA0paODJaK+0r96FpKGmxyGh9TM4QyJX7GomSFoiM1kRkof9khsBGo6RFIaN1EKeFVsjP0NCm43T7QpDRyotTQ8/Kt/P8gSR5wgxIR4yMVt98+SIaip0o6YiR0WqLLPTJkdzTf87X5rGR3BNyQElHiYxWWGShr8mHjGQo+qGW9m6N4o6QlzN4u2lEyGhVRRZaLL+E3Xl05nFT0tEgo5UUC0I/k9fSUMyFko4GGa2mefL1NBTdUdIRIKPVE1lweCB6R0mHjYxWTGShzxS9EqgaSjpUZLRKIgudL7+xiKHonRztVG2UdHjIaGXE6aFb5VYBDY0jQgdztFPlUdIhIaPVEKeGNsr3FNHQE8M38lJsTVDSYSCjFTFfvryIhp4SOnf0d4sh8rj1u5Q0T2S0AiIL/VFB93uufBxD0brxcdYfUtLckNGyiyz0BfmIUbcsstA58uE0tJ58pPXHlDQfZLTUIgtdJr+yiIb+nfw2Glpnfo/1SUqaAzJaXnFaaLX8ZBEN/aL8ehpafz7EOpuSpiKjpebbimjoN+R9aWhT+GDrLylpEjJaUpGFv1tEQyfkvWhos/gt1t9Q0sGR0TJqv71TwJ1+XxYNbSK/wTqPkg6IjJZOZKFvjfrtnchCi+TNc97pWs4HrTMfYH2ekg6CjJZLnB76sbznaBu6b2ip/Gi3O93vufh1nmN15v2tL1LSvpHREokFobXyz0e+W/0q+f7e7pRX0OrO+1r/j99yf8homcyTrxn520qHh+/q9U59kPVZnmM155daX+e33AcyWhaRhX5n5Hd6XPjm/sLt11jf4DlWc97b+ha/5V6R0VKILPT38vGjfUn01wY8HsB7Wd/jOVZz3tMyv+WekNHiRRa6SH7daBu6IHS2fFLvd/q89OwLn/hZayHPsZrzmHUBv+XuyGjB4vTQcnnbyN9WOld+Xz932pqnf9lz6he8wbop55VC2fg562JK2gUZLVKcGnpaXlnAEe9+e/93+j+3zlzITx2H8ASrOW+1fkBJ50JGCzVf/n61zxryTxzH8gSrOT9lXUFJZ0VGCxNZ6M+KXolc/LXiFJ5gNefHrUWUtDMyWozIQl+R31WNoWhkobtm/a6PtT7NE6z+/Kh1Hb/oDshoASILLZRfVo2GTrpkrm/6nUxs0Qh+yLqRX/RMZHTU4rTQT+UNlWqopE88N/f3fQAnETaCH7Bu4Rc9DRkdud3km6rW0N74pdYET7D6873Wcn7RO5HRkYosPFHBhp7R6w0t60c8werPK627+EVPIqOjE1nor4peiYF4vI/0e6O1ZHjrgrLwHdZqSiqR0ZGJLPQf8psrOBRtWzFP6nXaZq9xHMyzq/58m3U/JSWjIxGnh5bKu1W2oZIO2tjXzX1nlTcWPfNS62dNLykZHbpYEFrf87zIpRS/1OgnCebm661HGl1SMjp88+SrqtzQA0OLil4JlJuvsdY3t6RkdLgiC32s6JVItFp+S4X/GcBo+EprY0NLSkaHKLLQ5+WjKtygODB0RdErgYrwj6ynm1hSMjoskYUulfevcEMl6eq+pnZG0/lSa1vjSkpGhyJOC90lP13tAMXLovL/DGDkfJHValZJyWj+4tTQNvmOagco3hlaWPRKoJp8vqUGlZSMDsF8+ZJqN1SSbpQPn7oVW9Tao7CVQdW0T3puSEnJaM4iC/150SuRLF4bun6Xr3JdZfSjOSUlo3mKLPQN+R3VHorGW0OLOp1H/99blBR9aUhJyWhuIgstlveqdkMl6d5Zz/33Xqak6EsTSkpG8xGnhdbIayvf0DgodPlcN6Ck6FftS0pGc7KbvKTyDZXkFe56oCglRb/qXVIymoPIQr9d9EqMFiVFvyo5YXlvyGiqyEJ/K59Y2z+R2VBS9MsTruUfDBlNElnou/J/aUBDW/vt+jVKir6dUcM/GDI6uDg9dKv8fP0bGkeHft75W5QUffG461dSMjqgWBDaKN9T/4ZK0n7Sax+b7ZuUFH2pX0nJ6KDmyZc3oqGRhbptKCVFX2pWUjI6iMhCf1L0SoxEHBh6RN69+z8YlBR9qVNJyWjfIgt9aca0HfX1DvmaXreUkqIvtSkpGe1PZKEfyb/YiIZGFrqsvx+hpOjLZEmvrPYfDBntQ5wWWi1vbERDJelReVPfG0tJ0RePu8M8OJVCRnsVp4ael2+r9u+7L1404MZSUjQKGe3ZfPl7DWpoIkqK5iCjPYkrQ39R9EoUbM9+f4CSoiHIaE88br+VoWjfKCmagIxiuCgpao+MYugoKeqNjGIUKClqjIxiRCgp6oqMYnQoKWqJjKK7WJFb+Cgp6oeMogfbJb1YrbFcFkZJUTNkFD3YLknanFv7KCnqhIyiB9skSS9pSYoPUVJgGjKKHmyb/L8nrBfntlRKinogo+jBszs/zPcauZQUNUBG0b8v5Bk+SoqqI6PoIu6eGTi/0lqR511QUlQaGUU32zp8zbfnPN8VJUV1kVF0s12jucYDJUVFkVF04XdZklrzR3FflBQVREbRXWShPx3RfVFSVM4ohhiotMhC50l/2xrZPXova2Jk9wakYjSKuUQW+rp8ABdQAWbFaBSziitDL5b3pqHAXMgoZuVx65miVwIoPXbqASAJGQWAJGQUAJKQUQBIQkYBIAkZRR/iSU4uAmYio+jHI0WvAFA+ZBT9WKPYwoAUmIaMog8et9YXvRJAyZBR9GlN0SsAlAwZRZ82KzawXw/sREbRu+fV3q9/uOgVAcqEjMMtKG4AAAPWSURBVKJnrXmTHzyieIYBKTCJjKJn6xRvCbUHpOuKXhmgNMgoerbfczp0x8cPFrkiQKmQUfTj+cn/+1jHOvbrAYmMoj8/Vpy2o54/L3RNgNIgo+iDH/bOP5kNik0MSAEyin6tUBy7440mTrEHyCj65dutV+/45EHFZgakaDoyit60xqRnJz9+dMqRTxuLXCmgDLgyKHoz9twLGfWiKZdcXiO9ppg1AkqC0SjSPKV4nP16NBoZRRKPWw8VvRJAocgokj3CXM5oNDKKVB631ha9EkBxyCjywFzOaDAyihz4GMej7NejocgocsIp9mgqMoqcrFc8xYAUTURGkQ9OsUdjkVHk50HFkwxI0ThkFLnxSdbmolcCGDkyilxx5BOah4wiV5sUT7Bfj2Yho8gTp9ijgcgo8vawYisDUjQIGUWPnpLGerkdV7FH05BRDMEDRa8AMEJkFPnzMY7H2K9HU5BRDAen2KMxyCiG4zEuGoqmIKMYCk6xR3OQUQzNA1ztDo1ARjEsPsnaWvRKAMNHRjFE3t/dbwRUHBkFgCRkFACSkFEASEJGASAJGQWAJGQUAJKQUQBIQkbRoy3S7kWvA1BGZBS9+V/7Fb0GQEmRUfTmK2uLXgOgpMgoACQhowCQhIwCQBIyCgBJyCgAJCGjAJCEjAJAEjIKAEnIKAAkIaMAkISMAkASMgoAScgoACQhowCQhIwCQBIyCgBJyCgAJCGjAJCEjAJAEjIKAEnIKAAkIaMAkISMAkASMgoAScgoACQhowCQhIwCQBIyCgBJyCgAJCGjAJCEjAJAEjIKAEnIKAAkIaMAkISMAkASMgoAScgoACQhowCQhIwCQBIyCgBJyCgAJCGjAJCEjAJAEjIKAEnIKAAkIaMAkISMAkASMgoAScgoACQhowCQhIwCQBIyCgBJyCgAJCGjAJCEjAJAEjIKAEnIKAAkIaMAkISMAkASMgoAScgoACQhowCQhIwCQBIyCgBJyCgAJCGjAJCEjAJAkvlFrwCqwb666FUASorRKAAkIaMAkISMAkASMgoAScgoACQhowCQhIwCQBIyCgBJyCgAJCGjAJCEjAJAEjIKAEnIKAAkIaMAkISMAkASMgoAScgoACQhowCQhIwCQBIyCgBJyCgAJCGjAJCEjAJAEjIKAEnIKAAkIaMAkISMAkASMgoAScgoACQhowCQhIwCQBIyCgBJyCgAJCGjAJCEjAJAEjIKAEnIKAAkIaMAkISMAkASMgoAScgoACQhowCQhIwCQBIyCgBJyCgAJCGjAJCEjAJAEjIKAEnIKAAkIaMAkOT/A4zoVM+lPWeJAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%run simulation_fig-1B-3C-6E-7B.py parameters_fig-3C.yml --prop order" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 4-A" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'fig-4-A')" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df4a = pd.read_csv(\"data_figures/fig-4-A.csv\", sep =',', dtype ='float')\n", "df4a.iloc[:,[0,3,6]]=df4a.iloc[:,[0,3,6]]/1e3\n", "ax=df4a.plot(0,'all intercepts 1',color='orange')\n", "df4a.plot(0,'all intercepts 2',color='blue',ax=ax)\n", "df4a.plot(3,'discrete plant 3',color='blue',style='--',marker='o',ax=ax)\n", "df4a.plot(3,'discrete plant 4',color='green',style='--',marker='o',ax=ax)\n", "df4a.plot(6,'max sim',color='grey',ax=ax)\n", "df4a.plot.area(6,'max sim',ax=ax,color='grey')\n", "ax.legend().remove()\n", "ax.set_title('fig-4-A')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 4-B" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'fig-4-B')" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df4b = pd.read_csv(\"data_figures/fig-4-B.csv\", sep =',')\n", "df4b.iloc[:,[0]]/=1e3\n", "ax=df4b.plot(0,'all intercepts',color='orange')\n", "df4b.plot(0,'intercepts order 2',color='purple',ax=ax)\n", "df4b.plot(0,'intercepts order 1',color='green',ax=ax)\n", "df4b.plot(0,'intercepts order 0',color='blue',style='--',ax=ax)\n", "ax.legend().remove()\n", "ax.set_title('fig-4-B')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 4-C" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'fig-4-C')" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df4c = pd.read_csv(\"data_figures/fig-4-C.csv\", sep =',')\n", "ax=df4c.plot.scatter('simulated plant id','total length simulated (m)',color='grey')\n", "df4c.plot.scatter('plant id','total length (m)',color='pink',marker='s',edgecolor='pink',ax=ax)\n", "ax.set_title('fig-4-C')" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "### Figure 5 and supplemental figure 8:\n", "- the set of generated architecture has 9520 records, to reduce the run time the data set can be read every nth records using the '-n' arguments. For example with n=10 the run time is around 15 min against 10 times more for the complete set (n=1)\n", "- the figures may slightly differ from the paper see remarks\n", "\n", "**Remark:** this the python 3 HydroRoot version, unfortunately its generator uses random.randint() that is known to give different results with the same seed between python 2 and 3 (see for instance this __[issue](https://github.com/python/cpython/issues/53271)__). Therefore, that python 3 notebook cannot reproduce exactly the same architecture with a given seed the architectures in Boursiac2022. That may explain that results are slightly different." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Simulation runs: 952\n", "#############################\n", "runs done 100.0 %%running time is 1012.5213372707367\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%run simulation_fig-5_sup-fig-8.py parameters_fig-5_sup-fig-8.yml -n 10" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 6-A and supplemental figure 4\n", "- run times: few minutes\n", "- add '-o name_of_results_file.csv' as argument, to save results in a csv file named name_of_results_file.csv\n", "\n", "**Remark:** this the python 3 HydroRoot version, unfortunately its generator uses random.randint() that is known to give different results with the same seed between python 2 and 3 (see for instance this __[issue](https://github.com/python/cpython/issues/53271)__). Therefore, that python 3 notebook cannot reproduce exactly the same architecture with a given seed than the architectures in Boursiac2022. That may explain results slightly different" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Simulation runs: 256\n", "#############################\n", "100" ] }, { "data": { "image/png": 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\n", 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TfcY4hgJr496vC/dl1UZEKoFjgXnhrsGqWgcQ/j0g2YeLyGUiskBEFriqz2IYhl98rL8d9RiHZVW1RZLsSwyotNtGRHoDjwDfU9UPs/lwVb1LVUep6ihXASHDMPziY8BzXSLEdcaSZVW1ZR0wLO79wcCGTNuISAmB0pisqo/GtXlfRIaEbYYA9Y7lNgwjT/gY8KJeBt1HeRDfWVU+Fcd84HARGSEipcCFwPSENtOBr0rAGGCrqtaF2VaTgNdV9eYk51wavr6UIP5hGEYR4CPwXAhl0H30V1VVxcKFC7n11ltZuHBhh2e2JyVZ4MPVRpBmuxJ4C/hhuO8K4IrwtRBkXr0FvAqMCvefQuCyWgosDrfx4bH9CLKp3gz/DkwnhwXHDaMw8BEoVlWdOHFimz4nTpwYGRl9XbOLJANSBMe9Ko6obKY4DMMv9fX1Wltbm/NgV1tbq/369WsziPbt21dra2tzks3lwOxaxihfcyrFYTPHDcPICdeVZ+Mn1gE0NzdHKsZRCMHxQs6qMgyjyPGRPqsJPv7E99niowy6r+C4q0B2IWdVGYZR5PiY09CrV682+8rLy3N6Uva1qFFMoeWq2MB9INt3VlUPJ70YhtElKQS3TQxXA318ddwY1dXVjB07Nuf1PUpLS9m5c2dO63vEqKqqYuzYsaxevZrKykpnSgPM4jAMIwdcp8/6sA5cl0F3bWX5cPf5xhSHYRgdxvWs7Bgu3UBRD477CmS7TFpIxBSHYRgdxtfTtyvrAPwGx13ED3y453xbMaY4DKML4qpsuev0WR9P3z7cXy6D2T4C2b7TcS04bhhdDNeBWJfps4UQHAf332FVVRUjR450tpCT73TcvM/q7ozNZo4bRkDUZ1Grui0PoloYJUJcr0ES32ffvn2dlxwxV5VhdCGiHij2EWyP+voZvuIRVVVVrFmzhmeffZY1a9Y4LXJoisMwuhCuYxJRXyQJoj/XxHc8wgdpFYeIdBORY0XkHBE5Q0QGd4ZghmH4QR3GJKK+SBJEv0SIr3hEXtJxReQwEbkLWAX8EqgCvg3MFpG5IvJ1ETGLxTAKCNclPaK+SFI8MQWZi6KMEemsKlU2vbuAv/7ha9zw+Sb69nCfjtteVtVPgTuAyzXhmxaRA4CLgEuAB5xIYhiGd1y7qgphkaRCKBHS4fIgqrBjLWxeAJsWwOaFsHkB++3czJRvwc7d8Lc3YO2mvQrdhRJOqThUNeW3oKr1wO9y/nTDMNLS0NDgtN6QS1dVLMZx22237dmXS4zDxyAfs4riFWYug2h8MDvWZ64yZoQqNK1voyDYvAA+2hgclx7Q/xMw7Hy2lX6csy/6b+av+oidu4PDnVodV0QuEJE+4ev/FpFHReQ4J59uGEa7uPZTu3ZVuY5xFEJw3IeMSX/nHRtg3XRY+iN44Rx4bAg8Pgxe+gIs/wU0bYChn4cT/gBnzYMvbYOzF8GJd9Pn2B/wnRvuo3uJn+q4aedAAEvDv6cALwETgHnpzovSZvM4jELEx3yBqM/j8L2Mai5zGnzJWF9fr8MGlenZn0JvOB+dfjW64XZUJ4fblG6qT/6L6j++pvrG71Ub/qG6a0fGfeeyMiMp5nFkMnO8Jfx7DnCHqj4hIjc60FmGYbSDaxcLuHct+aoDVV1dTbdu3WhtbXXypOxyZna8jCUlJezatSs7GXfvgM2LYFMtbKqlz4aXePd3gWuutRVe3wAvvFHCp8+9kuEjz4cBn4IeFR2W1Yv7LJk2id+AJ4E7gbeA/kBPYEm686K0mcVhFCL19fVaWlra5sm2tLQ0UhaH6t6n+YqKCieznqdMmaJlZWVaUVGhZWVlTmdRu5yZndHTfMsu1c1LVN+8W3XuN1Wf+pTqlO57rYnHDtHm2efqdef10FOPRHuXubOyMpaxHcjB4vgSMA74japuEZEhwDVu1ZdhGMlQh4Fs8GPFxMuVq3w+guOdFsxWhe1r9lgSbKoNgtgtO4LjJf1hv9Ew9Nzg734nQPmB9AQ+0VDD76qrKSktoVyytGBS4GNxqD0k0ybhj78AuIVAaZSlalcIm1kcRiHiow5U1Os2+bhmH31OmTJFD9q/TM8/qZf+7wU9dN3kY1UfHrTXkqjpqfrMGNX5V6q+/WfVrStVW1vb7TNX6yCxLxe/Cx2wOMYQBMTHAT8WkU3ATGCGqq50o7YMw0iF6zkX4D7G4dqC8TEvxEmfrS2wdRlsnEvzuuc5vu4h1t8SWFetrfDG+sXsd8KXKRt6amBN9PsEdC9N02lbXMYjfFmWMdqbx7EbeCHcCF1UZwM/FZGPAXNV9ds5S2AYRkrUsasqVfrsDTfcEImB3kdwvEPB7OaNsGkubPxHsG2aD7sbAejevT9v1Xfnvhd3M28VLHgHpKQPzz77fU44/IQOy+lyvo7vsuoZr8ehqnXAvcC9InIz8IgTCQyjyHA1AMTmXGzdunXPvtici6hYCK4tmBgxBZmroozRblZV627Y8mqgKBpCRdG4Kjgm3aH/p2DEpbD/GNj/JLY09eGLX6+kqWn3ni7KyW1Qdh2PyDnzKx3J/FfpNuDdjpyXr81iHEZn4TJ7pxCyqqLeX4z43+WQA8r0xclXq/7zWtXZ/6o6tdfe2MQjg1VfPE/1tV+qvv+i6q7t7fYXxXkhiX3nK6sqGZKDrjKMosRH9o46dlVFPcbh3DevrWx+5yXm/ulS7vraLk46vInDBgP8Fn29BzLgWDjsG3usCSqGg6Qf3jpcWyoJPuMRvuZxtFcdd2CKbT8yVBwiMk5EVojIKhG5NslxEZFbw+NL40uZiMi9IlIvIssSzrlRRNaLyOJwG5/F9RqGN1KVnMil8qzL8iAQ/TLoOfe3ewe8/yIs+xk8Px4eHsjAuadxy1d28ZljYPEa+MFkOOvXvVh46HMwrhZG3QKVVdC7MiOl4Rrvy7z6IJkZEj7VvAO8Hf7dZ0t1Xtz53QkmDR4KlAJLgKMT2owHZhAoojHElTIBTgWOA5YlnHMj8IN0nx+/mavK6AyWL1/ext0Q25YvX96h/ny4MHylprqeAJixG2jHe6rvPqK68Puqz4xWndJjr9vpyWNU512uWxffpkcO6xnppV5dur7i6XRXlaqOyFEnjQZWqerbACIylaDO1fK4NhOAB0MB54pIfxEZoqp1qvo3EanMUQbD6DQaGxspLy9v43IoKyujsbGxQ/35CDwXQhn0lIFsVfhwBTS8DBv/DvUv7w1id+sZpMEedQ0MOjlwO/UcCEBf4IabBjoLFPtwSbp0fcXIywRA1TZP/vtsGZz3b8A9ce8vAW5LaPMkcErc+znAqLj3lSS3OFYDSwmyvAak+PzLCCYxLjjkkEM6pG0NIxtcB7N9BU0nTpzYps+JEyd2uC+fJUwG7ddXT/uXUv3n5CrVFz6v+vB+e62Jh/cPgtjLf61a/4rq7uaMZHUxwc6H1eaafE4AjBFfXqSMwJJYCJyR5rxkzsLEx5FM2iRyB/CTsN1PgN8C/75PJ6p3AXcBjBo1yk1On2GkQR0Gs30ETV3P43Aq4+7tbFk1gzXTv8qMq3dz4mFNlJUC1LD7g8PoMXRCYE0MOgX6HJ6XeAT4s9pczuPwPQEw7Xocqnpu3HYm8C/A+xn0vQ4YFvf+YGBDB9okyvO+qraoaitwN4EiM4y84zqY7WOAcr2WRE4y7voQ1j8Ni6+FmSfBX/rTf9EF/GD8bspL4bbZcN7NcNh/9uafQ2tgzCQ47N+h7xFZKw2X65o4X+rVsXzQCQH3ZGZIexuBlfBqBu16EATXR7A3OH5MQptzaBscr004Xsm+rqohca//A5iaThYLjhvt4cqF4WPehUu3UkxGX66ltIHd5k2qax9XXfAfqjOOD9aZmIxqTYnqzE+r/vM6/WD5VB3Uv8ypfL5cfi7vm6iuQUIKV1UmiuL3wK3hdhvwMvDndOeF544HVhJkV/0w3HcFcIXuVUK3h8dfpW18owaoA3YRWCbV4f4/hW2XAtPjFUmqzRSHkQrXE/ZKSkraDAAlJSWRi3G4zoJSDTLK7r///rYZZDveU13zF9X5E1Wf+kTbAoCzT1NdcoNq3Zx9Jtm5zjCKekzCp3z5nAC4IO71bqBGVf+ewXmo6tPA0wn7/hj3WoHvpDg3afhfVS/J5LMNIx2us2Nclwjx6adWdZcFFcveGT6oByeOaOaHl53K4X3Xw4dvBA269wpiE5/8MhwQFgHs3jNlfy4XXYLoxyR8upXytpBTMWxmcRjJqK2tTfpEn8uyp1HPqnLaZ1O9bl16t979ze664jfssSi23I02zxyr+tpNqg1zVVt2ZtWtj0WXXFsxhTKPI1fI1lUF/BU4FyhJcuxQ4H+Bf091fpQ2UxxGMnxM2HPpqlJ1H+PIyS3y0RbVtdNVF3yvjetpyz3oE99HvzcOPbYS7d+vT+TWHI/1HeWYhMv1OFyRSnG056r6JvB94HcishloIEjHrSSISdymqk900NAxjLzjesKea1eV69RZyNItsnsHbHwF3nsO3n8ONs8HbYXuZUFK7Keq+KDnsRwy8gs0bt+7Yl95+e4Ou1l8p5G6wJeMPtxKLlN825BMmyRuBMriJGAk0CuTc6K0mcVhJCPqriVfQdOUwfGWnar1L6su/d+gamxNaWBVTOmhOutk1SX/o/re8/tMtiuESrGukyB8WUUucXHNdDSrqhg2UxxGMqLuWvI5iJaVlWmf3r10zBGlumjyRarPjVOdVhG6n0T16eNUF/1Adf3Tqju3pe0zaVZVDvK59PfnNQU5T/ieOZ73Qb0zNlMcRjJ8BMddD1CuYxwb18zXiZ8t0YevQjfdyZ44xa7Hj1Ct/U5QMLB5U1Z9+ghmu/T3+7LcXMckonjNpjiMosHVP5jr4LjrAcqJItr5oeraJwKlMP3wPYpizS3oPd9EL/o0esSw3pFSlrF+XQ2iheBacq18825xAF8AeqZrF+XNFEfx4PIfLJnFUVZWFpl03A4popbdqhtrVV/9qersU/eWGZ/aS/X5c3Tbgp/pJyvdlRj3WaY9yum4LinWmeP3AWsIZmyfA/RId07UNlMcxYGPZUpdB8fzMnN8+1rVVZNUX/py2wqyTx8XLI/63nNtAtpRDmYXQjqu6/6Kcua4qn5dREqAs4GLgD+IyGxV/Ua6cw3DJT7SIIP/jdTvs5XPZTpurJhedXU13bp1o7W1NSimN6AXbJgBdbPgvVmwNVzipnwIHPQ5GHIWHDgWyg5I2q/LmdnxMrpY66JQllF1udZFUc8cB0oIJgQ+CjRkel4UNrM4ioNIuILSyOcje6esrKeO+XiZXn9eD62bfMzeNNmpZapzzlJd/hvVD15VbW3NuE/XriBXWVWFEI/oSlla5OCqGgfcD7wLPEBQuLCg3FWmOIoDH66gyFaz3blNtyy7X++9vLuu+z173E9LbxLd/vK3VDfMUt21I+tufQ56US+/EXXXUiHNHM9EcdQQLPFamq5tVDdTHMWBj/TZSFWz/fBN1dd/pzrnzD1WxZZ70IeuRC89FR3SP/cBqhCsrFi/LgfRrjgB0AWpFEfKGIeIbAu/FAE+B6jsXTzlI/aWSp/TnivMMFzRu3fvNr5vgKamJnr37t2h/vJezbZlJzS8BOufgg1PwbaVwf6+R8IR32VLxckcMuoitjXGl/PIzfft2p9eCOU3XFdBdh3X8YmvkiMpFYeq9kl1TES6E6wEODn8axjeaWxs3POPGqOkpKTDtaUqKyv3UUTNzc0dHkQzGpSb3oMNTweKom427N4G3XrC4NPhiO/C0PHQ+1AA+gN33nXvvsHxHAdkl4Ne1EuWgx/lVlVVxdixY/3UgXKEywB+Ipmsx7EPqtoCLBGR3zuRwjAyoHfv3m2UBgSDVEctDnCbVZU0C+qeuxkk78DS2wJlsXlh0LjXwVB5ERx0Dhx4BvSoSCtjLrLFE+WsKnA/4PlSbt4ylhzg2srah2T+q2LbLMZRHLiesOdr8tqg/j31K6f21Ae/3U2bJvcNCwV2CwoFLvu56uYlGWVAFULBv3hZo1yyPKpZS/FYyZGIbaY48ofr0hGRrWa7o04/XPRrnXltN/3oAVQnoxv/iNZ8t7tuXXKHavPGrLv0odiiHtiN8mQ4nxRayZFuudsshpGcmpoahg8fzplnnsnw4cOpqanJuc/gXk79PhsGDRpEdXV1m33V1dWZm/IfvgnLfwWzPg2PHUSf16/hY4PhlmfglB/DAd+Cyx+oYMVHx0PP/bKWz4eLJebvjyfm78+FhoYG5s+fT0NDQ079+J4Md8IJJzgNuru45ni30tatW2lqaqK6ujqnfmMuxPLycvr27Ut5ebnbAH4ybVJsm1kcnY+PJ9u8V7NtbVXdOF918Q9Vnzy6bWmPV3+im95+UcvLyyI9Mawrz+NwieuaaVG1sjBXldGZuB7kVfNUzbZlp2rds6rzJ6o+dnAYr+iu+uzpqm/cotq4pk2frsugq7pd60I12rWq4vuNqlupkOpz5YopDqNTcT3Iq/qpZpv0H7buHdV3H1X9+yWqfxmwt7zHixNU37o/ZbyiEJ7m42WN8ixqH0T5mqNqZaVSHBbjMLwQm3MRTy5zLiDwf7e0tLTZ19ra2mH/d3yMY7/ecOmpMPdXBzLoxaPgpfNhw5Mw9Fz4f4/CFzfCqY/DoZemjFe4jh/48H27xmdMwiUu420+rrmqqoo1a9bw7LPPsmbNGmfzLXxhisPwgo85F+A2OL5x/evw5p3MuR7evwPuvxwGspqmgy6GM+bA+e/DSQ/AsC+0O88ihq9Z2fG4CGS7HES9B2Ed4FoB+7pm18F7ryQzQ4ptM1dV51NbW5u0DlTe6yw1b1JddY/qnDO1dXJ31cnoG79Gf3oBevwItG/fPpFxOfhwfRVKTCKKcxp8yhhV6Oh6HIbREXxYHB0uEbLrQ1j3BKyZFqxf0boLKkbQVPkdzvj6ncxb+dGepuXlu3N2OUR5VnYh1JaymeMFQDJtUmybWRydjw+LI6tqtju3qb5To/rieao1PYMA92PDVBdeHSytGs7cdp0FFeW1LlSjncGj2rVnjkcR8pFVRbCWxwpgFXBtkuMC3BoeXwocF3fsXqAeWJZwzkBgNvBm+HdAOjlMcXQ+vrKq2nU57NqhuuZh1ZcuUJ1aHiiLR4eozr9Stf7vqq0tbforhLTKQll/O8oZS65lLCQKbh4H0J2g9PqhQCmwBDg6oc14YEaoQMYA8+KOnQocl0Rx/CqmhIBrgZvSyWKKI3NcDgA+LI7EgblfnzLdsuxB1ZerVKdVBMri4UGqtd9Sfe8F1Zbd7crocpAqlLUuYn27GkRtrYto4uJ3yYfiOAmYGff+OuC6hDZ3AlVx71cAQ+LeVyZRHHvaAEOAFelkMcWRGS4HAB8Wh2rgWurRHR33KfS+y9HtD4TLqP5loOrcb6jWzVZt2ZVRX1G3OAphjkRXWkbVN67ruhVqraqhwNq49+vCfdm2SWSwqtYBhH8PSNZIRC4TkQUisiBKee9RxXXKYmNjI+Xl5W32lZWVdXwehyofrJrFMU13UHc7zPhPOO94eGReC1uPrYHz34MT74YDx0K3zHI+4tMqKyoqck6rdJ2m6XOOhKs6Sz5ShgttToMLXNd185XKHcOn4pAk+xKT7jNp0yFU9S5VHaWqo7ps5kMWpLqhOnqjOZust2M9LL8JnjqGAbWf5dJTWnh2GXz+tzD42zDxzxWsbDwMupWk7ysFwYNVbnNCYlRVVbFw4UJuvfVWFi5cmNOg52u+QNQnw0FhzGmIcpFD7xMzk5khLjbMVVVQuHYt5bSe967tqu9MVp1zVrCOxWRUZ52sHy76rR440F0RwUIJZkfRhRFPV3QtFUKRQxe/C3mIcfQA3gZGsDc4fkxCm3NoGxyvTTieTHH8mrbB8V+lk8UUR3pcB7OzLnLY2qr6/t9U51arTusTps8eorr4v1W3rtzTzGX6bCEFs13RlSfDRXWxqSgnQXS64gg+k/HASoLsqh+G+64ArghfC3B7ePxVYFTcuTVAHbCLIPZRHe7fD5hDkI47BxiYTg5THOlxbXFk3N+2t1WX3qj6xKGBsphWofrKparvPVdw6bOFMCgXgnLzQdQthKhabXlRHFHZTHGkZ+bMmUkH+pkzZ3aov3Yr2e7cqrpqkursU8M1LUT12TNU33ogmLjXTp++/mErKioimUpaKPM4XBNlZVkoZVtckEpxWJFDwwuJwfFuAqcfuZtPbLsJHj0Q5lVDUx188qcwYTV8Zg4c+lUoSV2SxFfAL/j/yD047jqY7as6btSzlqKeYWRFDjGLwwjwFRw/bDD68y+ja3+P6mS0ZVo/1XmXq9a/sqfsRza4jHFE/cmxEOZxxIhq/MBXn7F+o2YhuAazOIz2cLp+Rututix7gBn/qay6Ga45B5asga/dXc6i4U/C6D/CoJNAkmVjp6ahoYFJkya12Tdp0qQOP4H7znXPla641oWP38QsBA8k0ybFtpnFkR4nFseODapL/3fPEqvrfo/+zxfQIf3dPOUVQhZUV1t/u1DiB7G+i91CcA0WHDfao8PpuK2tQQbUSxeoTukRBLvnnKn67mN65cRvO3MrqUZ/DkIhuUSi7E6LurLsSpjiKFJcDQBZWxwffaD6xi2qfz0yrBU1IChZHs658F0e20UWVIwoD6I+KISihGYdRINUisNiHAVMzLd8+umn5+xbzjjGsXkhzPsGPDYUFl4FJf1gzP1w3no47jfQ93DAb/wguJ9zz4JyTSHEJGwZVcMJybRJsW3FaHHU19draWlpmye90tLSDj+htWtx7Nqh+tZ9qs+MDqyLqb2CSrSbFnaafLE+u2JMwpZRNfIF5qoqLjpjwt4xh5Rq3VMXBW6oyQRuqTduDdxUacipVlU7MkY9OB7rN4prXcRk64ozx7sqvkqOmKvKAPZO2OveDc4bBTOvhWW/2MngrQ/BgWfCZ56Hc5bDx78Lpf3T9rd69Wp69erVZl95eXlOrirXriBf7jRXbhYfEwB9uZaM3HFVbTeG64mUbUimTYptK0aLw/mEvbp39Htnd9N3fofqZHTNLegN53fThrWvdqy/AgiOR93isGVUo01XsCwxi6O4WLt2bVb7U9K8EZbeSP8XRvJ/X2ll7SaYcDMc+h/w6xk9eaeuqUPyuV4kKZ7gfs49OO7j6bsQ1rqArhl8dvlE7/J39mFZep/cmkybFNtWjBbHtGnTkloc06ZNy6yDxtWq878bBLonox8+ebqedLg7C0Y1eIoqKyvTiooKLSsri8xTVLJ+o1ouw+Y0uCHKKcg+LEuzOIyk9O/fP6v9e/hgKbzyFZh+GLx5Bwz/EpzzGm8ccBOL17lb6jX2FNXc3Mz27dtpbm6O/lNUjtgyqu5waR24fqJ3/Tv7sCy9x7KSaZNi24rR4sgqxtHaqvreC6rPnb13zYuF31fdvnZPk670FBVPlJ9Euyqu/f2FkI3ny7IsyIWcorIVo+LIKB23tUX13UdVnzkxUBgPD1J99SeqzZuS9lkIlWejXiKkq7qWouzuK5TfOYoJC6Y4iox2FcfuZtVV96j+9eOBwnh8hOqK24OJfCnw8c/lUhElyhrlrKUoDgCJRDUjKMrrbydSCL9zrpjiKDKSuar6lKPvPX+16qMHBQrj6ZGq79SotuxK218hmPPxfUf16bYQiLJ7rhDum65EKsVhwfECJb621OB+8PMvw7u3wuANv4W+R8LpM2HcIqi8ELr1SNtfZWUlTU1tU2+bm5sjN7nOZRpkoUyG60qBYp+/SVdMQfZGMm1SbFuxWhxD+qO3fw1tug9t+RP60JXo2/MzTMdNwHWJkELxVcf6jeqTaFcMFMf6jepv0pXALI784+zJcdeH9Fv9a1bdDN84HR58GY68Bi6+o4SNOqJDXbouEeLjyTHqJUJc42NimOvUT6uO20VJpk2KbYuCxRGbDFdeXt7xyXC7PwrWwHh4f9XJ6JTvoIce4KjkiKcnx+XLl+v999+f00RC3zK6JurBewsUG5mCBcfzR319vfbo0aPNANCjR4/M/8laW4Ig9xOHBkHvZ8/QZX+7f59BtKysLKdBxXUWlGs3S3yfUU13jXLgObFvG+iNdJjiyCM5lQepm6M64/hAYTz1SdX1M1RbW52vd9GVs2OinKUVdUVpFDepFIfFODqBVatWZbUfCEqDPD8envsMNNcHq+yNWwQHjQMRIFD68SS+zwbX8QOf5UFc+r9dZmlZyRGjq5A+T9PImQMOOCDz/dvfhaU3wDsPBsuyjvxVsAZG97I2zWLB7K1bt+7ZFwtmd2RAdR00LbRlVGOpyNXV1YwdOzYS32GMQYMGWZDYiBRmcXQCffv2Tb9/5wfwz/+Evx4Ba6bCUVfD59+Co6/ZR2mA+3kXrsug+8zHd5WdVkhzEAwjSnhVHCIyTkRWiMgqEbk2yXERkVvD40tF5Lh054rIjSKyXkQWh9t4n9fggnYr2bY0w+u/CarVvv4bGP5lOHclHPtr6Dmw3X5duqoS+3DRlw83S9TXuzDXktElSBb4cLEB3YG3gEOBUmAJcHRCm/HADECAMcC8dOcCNwI/yEaWfAfHk5UH6Sbo+pd+ofrYIUHg+7lxqpsXZ9xnoUzkcokFnw2jcyEPwfHRwCpVfVtVdwJTgQkJbSYAD4YyzgX6i8iQDM8tGBJX5fvsJ2HRz+Cgd6+DskFwxhw4fQYM+FTGfRZKiRCX5TIs+GwY0cCn4hgKxI+Y68J9mbRJd+7E0LV1r4gMcCeyH7Zs2QLAx4fA7Ovgmf+CPuXwj25Xwmdr4cAzOtSvOnRV+XDbuHQr+ZIRbJayUby4fHCLx6fikCT7Eke2VG3aO/cO4DBgJFAH/Dbph4tcJiILRGSB6y8tW/r368P3x8Pin8NxlXDlg3DkD2DbwHNAOvYTRL1EiI9yGRZ8NqKE60HZdX+uH9zakMx/5WIDTgJmxr2/Drguoc2dQFXc+xXAkEzODfdXAsvSyZLXGMfWlbr98eNUJ6OPfx8d3M/Net5RLy7nq1yGSxmN6OLjN47qGiQ++vO95rhPxdEDeBsYwd4A9zEJbc6hbXC8Nt25wJC48/8DmJpOlrwojtYW1TduVZ1arjunVOhXTkmzWl8H8LFQUpRnURvRJcqDsus+C6HKgqsHt05XHMFnMh5YSZAh9cNw3xXAFeFrAW4Pj78KjGrv3HD/n8K2S4Hp8Yok1dbpimPb26qzTwuzpc7WF56enLTkSC6KI+rrb8f3ZxlL0SOqA30hlON3bU37sM4L1uKI0tZpiqO1VXXlHarTKlSn9QmWb21tTZqOm6urqlDScc2tlDuuv8MoD/Q+BtGo/6/4+t9z8eBmisM3jWtU54wNrIw5Y4P3IbW1tc4r2RbCP2xXJapP8zHZonzfFILFoeremvZlned6L5ri6AAZfemtraqrJqk+1DewNFbeEexL6MdlJdsYsZutoqIick+OhURUB/oo+759yuhjEC2ENUiiaJ2b4siSjBZe2r5O9fnxgZUx+7QgtpEE18uyJspYUVHR8cWhEvorhJhEVxnoo+z7jqcQBmVffRY7pjiyIO3CS62tqm8/qPpQf9Wp5UH2VGtLyv4KZQCI9Rvlf66uNNBH2fedTNYo3zdGxzDFkQXtLry0o071xQmBlTHrZNUP30zbnw9XVaHEJFwOKF1xoI+q79voGqRSHFZWPQlLlixJur/1nSnw1DGw4Rk49rfwmRehz8cy6jP4DVK/z5ZCWO/C9cxV17WqXH+HPma2+6qlZWVWjJxIpk2KbcvW4rjqqqvaPDXu3wd96EoCK+OZ0apbXs+qP1/WQZRdDl01OyYmpz3NG8UA5qrKnOuvv37PwPSFUej7f0Cb70efufk01ZZdWfWl6i+rKtZ3FAPFXVFZGkaxkUpx2NKxSRgxYgQAv7kYrh4PC9+BM34O3/vRxdCtY19Z8Bukft9RXC0rWijLqFZVVTF27FhWr15NZWWlk2u3pVkNIzssxpGE2JKus5bC//wFxvwIXluXegnYdLiuZBtPV1xG1fzzhpFfzOJoh1mvBluu+Hr6rqmpobq6mtLSUnbu3MmkSZM6HDz1tYyqa+vAMIz8YxZHJ+Dj6dv1ehe+LASzDgyj+DCLo5Ooqqpi5MiR1NbWMnr0aI466qic+ou5luKXj425ljo6SJuFYBhGJpjiSEL//v2z2p8JLt1K4HcZVVMYhmG0h7mqkjBs2LCs9qfDllE1DKOYMIsjCY2NjZSUlLBr1649+0pKSmhsbOxQfz7cSmCuJcMw8oMpjiT07t27jdKAwA3Uu3fvDvXnszyIuZYMw+hszFWVhMbGRsrLy9vsKysr67DFYW4lwzCKCbM4klBZWUlLS0ubfa2trTanwTAMA1McKfFRIsTcSoZhFAPmqkqCzxIhhmEYhY4pjiQUwloXhmEY+cIURxIsmG0YhpEai3GkwILZhmEYyTHF0Q4WzDYMw9gXc1UZhmEYWWGKwzAMw8gKUxyGYRhGVnhVHCIyTkRWiMgqEbk2yXERkVvD40tF5Lh054rIQBGZLSJvhn8H+LwGwzAMoy3eFIeIdAduB84GjgaqROTohGZnA4eH22XAHRmcey0wR1UPB+aE7w3DMIxOwqfFMRpYpapvq+pOYCowIaHNBOBBDZgL9BeRIWnOnQA8EL5+ADjP4zUYhmEYCfhMxx0KrI17vw44MYM2Q9OcO1hV6wBUtU5EDkj24SJyGYEVA9AoIis6chEe2B/YmG8h0mAy5k7U5YPoyxh1+aD4ZRyebKdPxSFJ9iVWCkzVJpNz20VV7wLuyuaczkBEFqjqqHzL0R4mY+5EXT6IvoxRlw+6row+XVXrgPi1Vg8GNmTYpr1z3w/dWYR/6x3KbBiGYaTBp+KYDxwuIiNEpBS4EJie0GY68NUwu2oMsDV0Q7V37nTg0vD1pcATHq/BMAzDSMCbq0pVd4vIRGAm0B24V1VfE5ErwuN/BJ4GxgOrgB3A19s7N+z6l8BDIlINvAtc4OsaPBE591kSTMbcibp8EH0Zoy4fdFEZxcUCRYZhGEbXwWaOG4ZhGFlhisMwDMPIClMcDsmgxMrFYWmVpSLyioh8Ku7YahF5VUQWi8iCPMl3mohsDWVYLCI3ZHpuJ8p4TZx8y0SkRUQGhsc64zu8V0TqRWRZiuNZl9HJg4z5vg/TyReF+zCdjPm+D4eJyPMi8rqIvCYiVyVp4+9eVFXbHGwEQfy3gEOBUmAJcHRCm08DA8LXZwPz4o6tBvbPs3ynAU925NzOkjGh/bnAc531HYafcSpwHLAsxfHxwAyCuUhjYr9xZ32HGcqYt/swQ/nyeh9mImME7sMhwHHh6z7AyiT/z97uRbM43JG2xIqqvqKqH4Rv5xLMT4mMfJ7O9SljFVDjQY6UqOrfgM3tNOlIGZ1OlTHP92Em32EqIvMdJpCP+7BOVReFr7cBrxNU3IjH271oisMdqcqnpKKa4GkghgKzRGShBOVS8iXfSSKyRERmiMgxWZ7bWTIiIr2AccAjcbt9f4eZkE0ZHR/fYbZ09n2YKfm8DzMmCvehiFQCxwLzEg55uxdt6Vh3ZFwmRUROJ/iHPSVu98mqukGC2luzReSN8KmnM+VbBAxX1UYRGQ88TlC5OOcSMBmSzeecC/xdVeOfCn1/h5ngrYyOa/J0H2ZCvu/DbMjrfSgivQmU1vdU9cPEw0lOcXIvmsXhjkxKrCAinwTuASao6qbYflXdEP6tBx4jMCc7VT5V/VBVG8PXTwMlIrJ/Jud2loxxXEiCe6ATvsNM6EgZnU4nj/dhWiJwH2ZD3u5DESkhUBqTVfXRJE383Ys+AzhdaSOw3t4GRrA34HRMQptDCGbJfzphfwXQJ+71K8C4PMh3IHsnhY4mmJkvmZzbWTKG7foR+J8rOvM7jPusSlIHds+hbUCyNptr6yQZ83YfZihfXu/DTGTM930Yfh8PAr9rp423e9FcVY7QzEqs3ADsB/xBRAB2a1C1cjDwWLivBzBFVZ/Jg3z/BnxLRHYDTcCFGtxp7ZWA6WwZAb4AzFLV7XGne/8OAUSkhiDrZ38RWQf8CCiJk68jZXQ6W8a83YcZypfX+zBDGSGP9yFwMnAJ8KqILA73XU/wUOD9XrSSI4ZhGEZWWIzDMAzDyApTHIZhGEZWmOIwDMMwssIUh2EYhpEVpjgMwzCMrDDFYRiGYWSFKQ7DMAwjK0xxGEYnIiKPh8XvXhORy0RkuIi8KSL7i0g3EXlJRM7Kt5yG0R42AdAwOhERGaiqm0WkHJgP/CvBDORxBNVNP6aql+dTRsNIhykOw+hERORGAkUBQS2kz6rqXBGZCXwMGKnB+gqGEVmsVpVhdBIichowFjhJVXeIyAtAWbimQ2wxpd6AKQ4j0pjiMIzOox/wQag0jiSoWApwEzAZWAPcDXwuT/IZRkaYq8owOgkR6UmwKNFQYAUwCHieYN3vk1W1RUQeBf6qqvflTVDDSIMpDsMwDCMrLB3XMAzDyApTHIZhGEZWmOIwDMMwssIUh2EYhpEVpjgMwzCMrDDFYRiGYWSFKQ7DMAwjK/4/UFaSBwVUpWoAAAAASUVORK5CYII=\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%run simulation_fig-6A_sup-fig-6.py parameters-fig-6A_sup-fig-6.yml" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 6-B and 6-C\n", "- For run time purpose, the results in the saved notebook have been obtained with less ax and k values than for the paper\n", "- run time with these parameters: 30 to 40 minutes\n", "- run time with the full set of roots, ax and k: several hours\n", "- the range of ax and k may be changed in parameters-fig-6-B-C.yml. The k value is changed by the intermediary of the factor radfold\n", "- add '-o name_of_results_file.csv' as argument, to save results in a csv file named name_of_results_file.csv\n", "\n", "**Remark:** this is the python 3 HydroRoot version, unfortunately its generator uses random.randint() that is known to give different results with the same seed between python 2 and 3 (see for instance this __[issue](https://github.com/python/cpython/issues/53271)__). Therefore, that python 3 notebook cannot reproduce exactly the same architectures with a given seed than the architectures in Boursiac2022 where results were obtained with a python 2 version. That may explain slightly different results ." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Simulation runs: 29750\n", "#############################\n", "fig-6-B: runs done 100.0 %%%running time is 2062.3160173892975\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%run simulation_fig-6-B-C.py parameters-fig-6-B-C.yml -o fig-6-C-B.csv" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 6-D\n", "- simulations duration: few minutes" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Simulation runs: 20\n", "#############################\n", "figure 6-D\n", "00Simulation runs: 20\n", "#############################\n", "figure 6-D\n", "00" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%run simulation_fig-6D.py parameters_fig-6D_sup-fig-7.yml" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 6-E:\n", "- see end of simulation_fig-1B-3C-6E-7B.py to adjust picture size, and visual radius of the root" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plant-1.txt 0.125\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "plant-1.txt 1.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "plant-1.txt 2.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%run simulation_fig-1B-3C-6E-7B.py parameters-fig-6E_sup-fig-4C.yml --prop j" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 7-A" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df7a = pd.read_csv(\"data_figures/fig-7-A.csv\", sep =',')\n", "ax=df7a.plot('dist to base (m)','n Col0',color='black')\n", "df7a.plot('dist to base (m)','95 - Col',color='black',ax=ax)\n", "df7a.plot('dist to base (m)','95 + Col',color='black',ax=ax)\n", "ax.fill_between(list(df7a.loc[:,'dist to base (m)']),list(df7a.loc[:,'95 - Col']),list(df7a.loc[:,'95 + Col']), color='grey')\n", "df7a.plot('dist to base (m)','esk1-5',color='blue',ax=ax)\n", "df7a.plot('dist to base (m)','95 - esk1-5',color='blue',ax=ax)\n", "df7a.plot('dist to base (m)','95 + esk1-5',color='blue',ax=ax)\n", "ax.fill_between(list(df7a.loc[:,'dist to base (m)']),list(df7a.loc[:,'95 - esk1-5']),list(df7a.loc[:,'95 + esk1-5']), color='grey')\n", "df7a.plot('dist to base (m)','95 - esk1-1',color='green',ax=ax)\n", "df7a.plot('dist to base (m)','95 + esk1-1',color='green',ax=ax)\n", "ax.fill_between(list(df7a.loc[:,'dist to base (m)']),list(df7a.loc[:,'95 - esk1-1']),list(df7a.loc[:,'95 + esk1-1']), color='green', alpha=0.5)\n", "ax.set_title('fig-7-A')\n", "ax.set_ylim(0,35.0)\n", "ax.legend().remove()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 7-B" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plant-1.txt 1.0\n" ] }, { "data": { "image/png": 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hN+a88XFyJbAD2BC1L108lVgoox3IM7vR7FizJDmVHO6DzzAY+QTgWCAxC5zK431gC3hKZXeWxqHvvwYPzufInNTPRerpJQDhvSf2MP2YPdcQr4Vffwywh4m7cjYVDMLn5oo+zwTy48KSbiBezl99pJ98lPwI6AWOjgqlLp6KI2W0o3hml5n1AqPI+am7McEsc2uBg4G1QUNT40P5ZGWn86ebfwmOuyPiR0FGEw9h5S8AfzDS93+mwq4seGZpCe04A/AE6ZnxyMzeZ2f9uxg82lTWutSLzcu0jyuJqbCr83c9kewnTy45s4kunkptlNEO4ZkFk4CMybpNb54FT1JuBoZ8BduBIbMw5cTwRxETKkex6wz3YAWCEfY5EunRoPNwgJ+6dfUDmGd8O3WzPhf7GEyal74iYScYgNl5Fyh+lnOYGWl8aoBXkN3ZwAiza8z88+DvCbsi4u2PkTOBm8r1MX3xVLPzSSW0wHJ7C37D+6Kuk5pn+D/wfmsAdv8V/C+Gx6FHwPoBBGfZ5Zhn+DH8e5G4D+gt8po9DN8F1qPvKOwEeByRBBDerPeBy81GZ8/KfAyGLzG+SgDbAP9EJAs+CIfR1lr6PwPFrAI2hv8QeKKfefEJZsv2wV6w3QHk/sOZS84FesxuNnu43MXlYPTV0WaXm+1TsCmRgDLa3nqzn1jPYp7hH8CLmbwYdrSxn4lZFpzL+6nC4uIyGzfP8CB4JJMEFlrhhdHQfOBi7NgHuyB3zTsAwC5fgJ+7gGg/ie+b/atxLIPbTXacsS9/4/4QlD21f5H0zIK5n88wHI1w6EJwbGtnGyfxBLMRZnsB2UkNHve6wWxQBWUMHpESKUYn9e2tsKHHmH3ODLeAFxKAfc784bATLH099EAfWB+upFTGRHBQ6mVrIn6eAGx/wxfBpxn8m1R0GGku9hA/gl2TOlkeA2SOK0MbgUrWs1sH7A0gtUpKzh2nSbQLbTY5gXyaTJJzUif+wan6Y2QfMvNLidRGGe00p/sY+oWsW+pEYhbWnJjzGj5fwen8mcZlWS9bX+R1I8DHMy/Lyeg2ABE398PPcDbxs3Ckp38b7GB7Nvc/Cc8GT46+Waako1PL7QUJzr93P5F2eeaPswqSOgzYpeR9J5GylNGOYp7hS5ly2bHm/1/4J2bWVTbP8McKtnOj4Z6sP66IPqMf4AP35nxnCLLGzk+FXVXq/gyPY2YFp4cjpiwBwHfLF38jAKAv/ecvw27IKulo2vURW85LqkjNlNHOYZ7hdvCzmYYigS3AityXrfjvFWznbvDcrH59WORlL4GHFs0c3yN2xczUxEvRrzmIiT8CAD9LLIx8STikqcQHfpb0zN4ig78pLyBug92UVdLHy2xhlm4ciQNltEOYZ/gBeHqqoccYEmAfBwMHZr2GSZa+bWOe4W/gsNysFAx1Ms+wEni53McahK3A0X9f6iXcLXVNcyyA8KmnQKa/fylzah8cA48ntwVDoM4lboddlzkWLttikZopo53APMPPwOPCcZR2jGEXsI+e2ZLs17wPpJZELupVcJfc+Uk32ba7c3d3vGEDMBn4oPD9n8j7cz+ZtXJTtGXBlKP3YU7u4qJT0qs27Zp/+yhPetr89LQpPJO4E+9lDaTPu2wqEhdltO2ZZ/htePzomSWmALsAvwaAXuC19OnqTgRDNUs0zc4xvl9wersKq/K+czT4HNGXP5Ipzw0V37cJ51WZgVlkkcGpKD2AdH5qCmoAU1NJ5ZncCSS2IHhwfgUQPNClG0oSL2W0vZln+Au4H4Pn6BOTgYHAa+FdpuzHmdK3jIodjdrNhrujfrAqXMYufNkNxqdoQw3zyny2GQgfsmcP1wHXlYsX59FOseFfhg3LvDJnnuZvlzqcXJh65UHA4tTXk0l/MOx66yfHk0ky8X8xA7gqdYiqpIo7ZbSNBWvKc1d6ZguBQb3AIGATODTnwC3xLrA9cy8oMqPmGf4NPDvqiC9rqJONNHwdAPAu2FPqMusVlnqy/moDsO9XsCtwTslmeWZ8i/hqzrWCMVkF50nEu0VLOpPhwlCvksPypnT6XubePUfwlH/AXn640MhCYKSSKm6U0XZlnuF5+CMx0qwXOGYyMAA4FBHjmQ4HR2ViFN2+h8HDop6G2mDpsaDmGX4PXkAAmANEXh/ww2ubC4B+kosZPhL6bwDwBnlakVplFq9/kzgP9pkid/bfLHVq/25WOvfK+v7KfwF+mFXSzxK3hjmeSj5S8AS9eipVUUbbknmGl+FfibeBR8jhk4FBYB/xSP5wd/MMb+a8tzCjdrjRj87TR/8r3GCwnXAVT1gwVjOiyIXPbw7K+dM0cl7Z4e7fBQ4r+sMS99zTt6SSWWPylwH7A+u+D9yVmY2U5xNfzT+wfSXV06nAZTpElYopo+0nmPtu54XoBaaQdpQFDbVDLO90HgB2YM05Od/I65ydb1wU3VDPbI9/DPeIdVkj4fvCtmYfjfbmTl0S+aR/jxmAGeTsIn+18NZQD/HdzGR3CwqzO7roqf3i3BcvAA4GADxPbvln4KeZ8aQ8l/h69HYWkmNSSZ0LXKekSknKaJsxz7AWvcDDZD9pZ5l/JthHu9jwH1Ev/kb+dCFvZN8v8orcVgKC5UXDJ4Q2gqNTd6v2NqRGUWUXuZ8cHqxhX8R0YGjq6/xp8QAAb2V9zQvo7xlOwDyt4MVcV/TU/vWsF3tm08gPU31/gtz5LeBnsJGpkp5NfKPMKKiZ5BOppGYPn1JSJU0ZbSfmGdZjypDwWM/OMqxNPU6ejDqd3wb/FxGzLmVecA84PCJJntlsYPivgJ2wa43PZr1mXmZH5caDAgA2hf/3tH8sM5dSX+5opySJezLJy1Pi1P6D3FWqXgoW0Qt2AfjfBO7OKumZxJ2VjiedlOppL7BSF1IlRRltG+YZNoDPM7uhnE8AiQngAQWF2gk+RuSs7JFrFHhwdNeS5GwSK4B7c2bIt30N87P3UIHpsKstSRb/HBn5lwIWAn+E3WyrIi+n3hudv8Ilmtel3j4jWMTpa8AvM+vf8WTih9WNzO8nx6WSOlPDp7qeMtoGPDPzDBvB51Jn1lkNtYsMD+a/xTzDKABIkr2RE5Ieadxe7kHy7wL/mvudJeBF5W765+KS1DT4xY6KS7y3h9gAPIn9t0f99CDio+j8LQc8sw9T9cyeNHoCuQ7wb809Jj2Wlcy3H2ku+WwqqQs17V5XUkZbnWeW8IGNSJ9ZZzfUM8Pfoiaj2w7uLFpJG2F8p0xDw0Gpn8m51Jh9KIoKj0aRmhy83HqfkXgIcQDSa+Hl//SZ6L9F8LzAS0WuIYwmNwM8lPg1bGRqEadhxK9cnxYNhk+5bEHakTLa0sL7PB9lNfTMTEMDhSfmdrNlDxTN/6ln+Lcy+zXP0AfuyNnIUuRP3pyfUf+A0ptdXGa3RTwKLmXRZP9DdPvS1wEi2/0UOdKMBxL3I7EzNULgAOJ3eu5eqqaMtrQkOfyjzDGXnWVYl2moXRTxC2+eRc0YkvXTX4GnlTpiMs+wBPhD/vcP/X7+YW/2Sb15hjtLbBXs4eF3YEQNB6Rn0wZbX5Eg8kJiWkT7XkwNHQ3+uBW4Jvftc4PnpvYjfgek7hdxL+JBlVSqo4y2NPu88emIc3kEj6g/FPWeHeEUJNEej7oZledD8DXio9xPsm9mnFNa+gjRPMO3gB9FXcJEatQUgI8xgbyshquHz+D42QBg50eVdEH03yj7efyZqbWY0manHlvi3kz8BosABH8cRIzK3IASKUsZbV12rfGp6IYCGDwWPIR5Q4jMs7zp6HN++inj1nKXRK8yvkTbYPl3hGZHXIHdmd7pt8BTi295WmrZpS0AMIb8fJUlZQ/xEgDg+9HH4JHjn9LP43tmkY8DvEKuTR2THvHvSPjh/Cb+TcDzOVPoi5SgjLYou87SI40KG2oXWriIcfZbPMO2otPR2yWG+8rt9MbUENGVOdG0IRauQZ9rHGme4Y6SDQW4NHyyHqmj1adquA8zE8sB/37g27DLogLHiJPxjeUW/hxDBgNbuTf9BI7xETy55F8F/xOwa1VSKU8ZbUV2vfGJkg19KOruvB8OFI3YYDCBU7EVktOvSa+/lPc40uLUjCSFb7k9+0rrgMLXhFIredvCGsPEHh78jfALfDPzqGjmBYmIqZ2D9UXSo/o/G3UU/DR5oxmCyP8a5tlM8iPgLcDfTavdSXnKaMuxGwxfSn1d0FDPDDMiZmMyzzCpyAY9w2/Ak8s1dDT4ydRrNuf+eEGRt9yeWbYk5CdK7AUo8TBAeekHrsL1mQsWqouc2nlzalT/HOCQIlueDXhmo0j/i8D9MM+eIYMD6F7gRo2rl5KU0dZiNxi+lppUKXdsU3AreSGAR6PeuQPFZhjB0/kzkObv1DO8k3lQ3VYbdmT9dIBhddRbvlnQ0HLYU9GzTCVsA+wkA8BTiXujbgT9IP+ANH2Lv8S6dX3kovTEKPuGw55mkknyDGAg0At8XjGVIpTRFmI3Gv45XNrTzsyMbQoCOhNIksfcFXFubp7htiLbPM64qVxDl4KTs16zPHcXBTeXwoaeEbXZl2BXRLVmPawvc5epZn2Af3z4NYcRf8p/6J7HEe/nlDR7fZES3iDXpIZwcS/iT+FGkuRy4AzgKbIXuFwxlQLKaKuwmwx3hdcZ0w0NAhrO2EbaXjbl9oI3BneWoiaut0stWJSplNXgy7nvzRpjb/uGC+Hl7O62Ig0F0ONj76jvT0M4bb5bRucE8wkcnnqIc3fimZy1lIGI8V4RU+1FeYHcnj4m3S0zgHQC2Qt4ZmcAo8le4BI9QS9ZlNGWYCMNd4PHZhrqn4Z0QMPXfNbwZNSbd0bfWTLP8Ityt5WuMY7NPdLcYjmlm5N7y94z3BI9KRQAvFP0wiiXh0/Wby43WqAij2dteTMxKX9wUt74p1mp9UXeKdfTx7JO/DmIeAjmWTBeKpmKbD/5UmqeJxEoo63Abjb8e3h7J3hOaetpyA4oALvc8CdM/23+HEjBk+8R2/QM94MnlmzoSMMdBd9dA16SCvd+hndzt3lLyS4f6QPAcxG30QFgADyzVYDNdzqIex/wfwzbK7MRLiH6C143LufUPgjo5CoHWnEAkUTCxxVmntlA4O2sEEeORZUupIw2mXmGB8EhOXPfPVb4+/kKeBR3FL5/O6LX/3gO3LfcJdEHwPMLXrMs6+vF4HnMvL50QwMfJriB+FrRn79a2Yx5Jbwa/AfmcdjJWSWdQTsr94B0Zc5HjZzmKlLetFUEMQr7+EiSi4GjAKSuVtfw4aUjKaPNZJ7hMfAT+fOH5r/sgvB0Pn/9jyJTkNgJxg3lGvpqkc5uyPp6ftbrK2kogP13AOVe6XZ5NMAeYnzud96kXVDq1D44ui97Jr694MSf2xkscP86mSRnpb6vkkpAGW0a8wxjwG3lGnqVbTssf915lJyChLPLNfQ98P2I13iWtQ7ooHCcUxUNxcdA8bvia5F4AUA8GQWAabAjckP2PdjFud+5L3/8U9kz8YhTgVSCg27OIRNfQG/WbNDS5ZTR5jDP8Aq4tkxDAfh7YVTkb37pKUiK7fdMwzJwUvQbEz/OyuVMsIfVNBTwB+Mng4v+dBpwPoBa5m+OxB7iiYLv3JnzqCiHEFvjmbEpu6Ts4fC/x75+mSdNpUsoo01gnmE6+EHmnlKxhto50b//OQ9uVmUIOLH4b/7S1Pb3tXD0ZeUNDdy2udhPuDL1ZH18eCptn9wT8B7ijpx7XHy86tIVm9s0p6QXE1/UlHoCKKONZ55hfmr9j+A5pb4iDb3K/CNQuBZxOFC04HnQ8ru+1jim5LvSDZwL3IeqG1pW6pl7mxdffUbBTskt6cXEv+YOgSqykHIxhZdH03JKOoL4kkoqymhjmWd4H5ye/5xSIc8MY4HItYiLT0FSZtffL/mC1Rbcw7L9DLfWoaEp7o+E5m9tQsE3TyZ+mQkczyZmV9G7x0uequeU9LPErSppt1NGGydYYj64oFmioZ7ZzWaJt+HfkDP6KMXDloEAABuWSURBVLORN2ra9V/LTGeXmRzvc7U01DzDcwBgL1bQlKKn/jXphR1ZME3JYcSfsxatK3nbrVo5JT2f+KpK2tWU0QYJlpgPzqkjGxoMRbzIrBfYZQPwWwCYWHhYtANcXH3g3gIHlnvX0tSLaz4OvWop/N2m3F/8Bathl8fwZH2ewntN4fcHE8/BbkyVtPjS9oUqXK0vLOm5rPa6gXQSZbQR0kvMo8g9Jc9sFpAkx5P9JMaAZ0RMqBHMCVL1rhcXvfyaY0fYUCcPYniJZZenI7zLFPEggROeTBsSNSv+R8SUrCn1Hqs0diUujwbeSn0R/PfP/zn8hErapZTRugsb+lypsU1Jck762fnhhtHwzB4rfO5zG3hWFceJto9hJfh6+bfYcgvuKeGTbpdE/8uOEkvC8cPUmvX18CjstKiSLmL6kdZwlG4FsSt9eRRAX+6SeUlyGRCM0tczTt1GGa0v8wwbyzQ05/U9ht8WCVmRKUhKORccV9lbvgTcAtyEwnXrKnUL4B+CWQMwEaUW10z9G2dzYg4NLyEmFvnRdNrZmVP7uPa4E+H0MQA8s4lkkkz8ANOBrRqZ302U0TpLLTFfuL58tHGY8lMAmJX77WJTkJRg11twGaH8K9PXQ+fVfijKHiKxAif6COZGerDI625JvTjWy6OhN2FHFTkQnpT1qOiPKzog3VEuhY+kDkVXAACODq6THsvTfopdNTK/myijdWTXWLDEfOmxTZnXn2Z4Ifx6TvZznxus6BQkxTblGf5fxa+8BQDsAMPble8hUuYRJg6K/rSZTNcho+xh9FyCge/BLjEAPJJYUb6kqyre73gSwPBF4TZ5OPErXSftIspovaSXmK+0oVcb7gF7GPHQ9/9A5BQkRTflGZ4EP1XBJdGgoceAPcRi+HdXvhNn8Y55SuGJtKFFDkh7iH8KhwpwfPl/OOMrOJycmzpiXQ34hwNLUiU9IFyJpLpPL+1JGa2L9BLzFTYUAJ4Olw/J35RnVV2vNM+wENxSaUPZw3B46pwq9tLSHoadUbykd8CuMQC4JYbMzUxNCzuWBLBxGNJLmHAv4q8qaVdQRuOXXmK+8obaqRasDxxhR0W32sPtBE9JTa2moQA2wAZb9tohjeE4f3MxJe41AeBFxF2wG409xKtlMlf28mi29cAegP9J4INUSQcSo/JXi5LOo4zGLL3EfBUN/byhyNl01VOQrKpo2qfshtpaA4DpYA8beVeEPYxrqqcIb8COLhovnhg+Kho5W2C2qg7Qn08NgfIPyyrpduL5/DVOpMMoo3Gy68Ml5qs4lwfwODiiyOl8NVOQ2FXGF6s8DgWwArgpM7eTEz9yNbvi6nGzHkDQ6KdKvuBQ4i+wkVb60aa5Vf53ZRNwgtkGwD8MWJoq6UbiFdjnVdKOpYzGxm4wfAPsYVUNtVOMA4q8spopSOxGwz9W8LLCZz2XAfPAi12PQ82r6APkqM9dpgCPp+1fqlzclRgNu9Hwh9iuYD5NziafIwHwZW5Njcb3LwGmw65SSTuTMhoPu9HwHfB8lp4/NP9d1xQ9Z69qChLzDL/JLEVX6mWFz8tvA96pdEeltvxPwM9KPAcapX4n9YEkbHjJkm4geoH/DPhFS7q9tj2TwXNoCR+9wGLAPw/+XhqT35mU0RiES8yfykqeU8oxKvp0HqhiChLzDC+CB9XSUFthuAA81+lQ1DzDDxD7lMzueAnxSrnXvEcsAh8u+k8geumBCqwHPLOlCZwBHO6HS732AiPMPLNT1NMOooy6spGGe8Bjq26onWzBYnYRP/IMt1W2Ec/wDriqpuNQAMsRMS90Ncwz/AQ8jiUWYSr19r461+RV2KfK7IJTaecYvlXZFH8VC+44pefoCo52+8mD30WSfEvPOHUQZdSJ3Wx4ADyMlT7rmX7jVYZ7i/wouLN0dmU3i5aCk2ttKICz4TLOKRhIwL8jkDpD/zBR+dvjnb+56C6eqeBlbxBfin+a6uDUHqkH+cM7TkUWwpL2pYzWLlxift/q7imFHi1+Ol/5FCRrwJfLN5RJRgbCNhum1d4O8wz3gQen3h5kdGiVW6nnXaYAj6MdUMFh5nfDR0XjtRbYCHhm2SWVDqOM1ii9xHwNDbUTjbsVP52vbAoSu8b4QkUNLfrjQ2of52Se4U/gkMzGeR4BYCrwL9VsqG5jnnIQdlK5U/vgUdErYs7cGHLP9C6SmTnzpZMoo7VILzFfS0OvNPyyyI8OqnQKEhtp+OfyH7LMpHDzwYtqORQ1z/A3RP+X4Iwd1T0vUNuN8CrxEnJm+b8pe4hvxT/AM/uhBiaZ8FXSTqOMVi29xHwt5/IAHi4erwsrmoIkPBIsOX9z+YYC6C+7qyJ7fxzcpfjGCxeQah+8MHxUtI67UEk7jjJaHfMM08APamyoZ8Y9i5/OL67sA0wC93BtqG01bCq/u4i9PwduLbfxFVU0wua2VlB4AvFr2M1xfqqVuefyQUmlYyijVTDP0AcuqL2hpaZq2gG+UcE99/fA95yPQwHMrunm0jhwQwXvqviAtAE362vAg4mH4pxSZFzB8Kaq1teTFqeMViqYsI5vVfecUrbEn/FakdGC5hUd/5R5zQWG5WWGy1TYUNvDsLrsqyJwZWV/65XVbLT+N+trwIHEC3Ge3fcW7iLJ682O1tl9+1NGK2KeYQ34WvXPKaW3cKxx1+IN3QYeWm6be4AT4jgOBTCtoldVbzOwDajyOLclMwqA64jpWauKuomYjRt4nCy1kKq0CWW0vHCJ+RccGnqNocTq7RVMQWLXGkfH01AbYvgg/qHmdq7hzd1reWcLd4Rvs5IL1k670Nl9+1NGywgb+nzVzynlSBa9O1/JFCTmGe4q84IqFrycD+xf6WsrZKcYVgFnVX/TKnj7gtbtCHtp59T346mk7U4ZLSVcYv75Wsc2BRs5xrh78TeWm4LEPEMSPL7oa6prKICFwPIqXl6RbbX+B6be8zfHgW/QLqxv5vyEHnBqY8poUekl5p0aernhtyV38c1yn2EWiNgaatsNp1X+8sq2eYpxTvAZNuPdwWVeHakxzzK5+A6sp46ZS5IqaftSRqOZZ8ES8y4NBYDHsKbIVdHwzlLxUfTBSNJUoaJfUN1xKICZwKo4L4zaGca3srb2dzXdMGrVu0xp4QNOcT8qmu8fVNK2pIwWsQl8xrWhdpRxd44pNiVaySlI7GDDylKL2dXQUNvTsDqm9UJS2BtHkVtv6Ggh9hB3wq6tV+Z6g2eovqySth9lNEKwxLxrQ68w/LH4T8tOQXIaOC7W41AgnM9pXdXvkwAvIH4Mu6kumQtGRPEC4isqaZtRRvMFS8y7nssDeBi8sMjd+fPKTEFi1xufi7mhNsTwPmx9i/5+1mmx5djxM8RvYn5UNH8X5xFfU0nbiTKaw641PhlDQ+3vjHsVf/thpaYgKb2oco3HoQAWgBcRK+MfMZoxYSiW71bD+1rzkdBieCDxt3odk4a7OIf4hkraNpTRDLsupoZeafhD8Z96hkUlf/oMeHjRQaY1NhTAQgAxXxjNN8xheqeWv8uUjQOIl+q7+jzPJL6pkrYHZTRk1xu+XOX68sX8reR6xTuKPhdvnuFt8KP4G2o7jOcQqOPNHPucYZjDiNTWH/OUi2uIWXXexRnEt1XSNqCMAoDdYLgNuB3uDbUjjPuUPGEvsQTTB+CUOhyHApgJALbK6nhG/yQwEFhR69trWhGvubiApRdwjmEXJxHfUUlbnTIaLjGPW+No6BWG3xf/aekpSFaBr9SlobanYRWAOjy8lN7FwakntWrOaHviFNq5dS7pCcT3Nc1zS+v2jNpNhh8D/zuGhgLAQyVv4BQfKGpXG1+sz3EogOmpT1W/C6MPpr5YBqDGlYptXluWgq/X/VFRfpoztBxeC+vqjAZLzOM/xdNQG2bZS7zl/7T4FCR2o+GOou9ybKjtZ3gfCKa7r5vMfzz+B/DlWrfQPjfr830H9rn6Nm4eiZ/Ud6CV1Kx7M2ojwyXmOZkxNPTyUoPtAeAWcEnUKsee4QHwgugfuR6HAliQWsk51mdAi/q0j12BL9b03ra6WZ+NPcQdsCvrfEz6d/R30TFpK+rSjNrNhr+C+8aXlb+WiVT0SvGeYQK4X/6PzLN4GgpgQeqLug51CtwCAPgpsGeZF0Zr24yi/o+KBpIk7q7vkFWpQTdmNFzb8hPxTc9xmHFo9Y8VeYZ3weURDUVqTXPXD7YzNc4JwBr37ZVz//rwix/Dzqr+V31nvJ+m0Xg+8ZM4V3CK3sshxC/rvhepStdlNL3EfGwbvNTw55o+xlLwzTo2FABmpDa7sdG/dYV/tW7ATxO/rfsVTB4S/9ql4qK7MppeYj7OjT5Y0zXHNeDL9W2o7ZUa5wTU9xnQXDXviD20OW2fBu5PJOt+3s0DiftU0lbRRRlNLzEf5zYPMR5Yy9JMfCGqoTvjOw5F1jgnNOTCaCza7VmmSEwQ4+v7qCgA7kf8TnecWkK3ZDS9xHyc2+wx/Ef17xpp+GHBNz3DdvCR+C417GdYkvXndrl70y6fsxyuImbXfy97E39USZuvKzKaXmI+5u1WfzpvnuFB8FTmf3NrqTmfatGfGucE2Op6PgOazd/bdQsdcTQa4Py6PyoKgLsTf1FJm6zzM2qeYTX4WtzrCR9kPLj6hvYib7V68wxbwMfjztz8rK/r9gxoNjvO8G4jdtRGGvCoKADuSjykkjZTh2fUPMM6cGzcDb3E8NfqP8kisL+goZvAJ+P+eDCenbXND+LdfBGnAEdud99Mu8zfXCG+ThtR/5IOIB5WSZumkzMaLjE/ug7ns/9R3em8XWZYDr5R0NCN4NN1+HjT499kaXa2YU4M22n9xZZr8c91f1QUAH1ilEraHB2b0fQS8/Fv+UArOktTMQlwQkFDN4DP1uHjZY9zAmxZQy6MHgHOimkvnXKXKS18VPSq+pd0O/GkStoEnZnR9BLz8W/5IsNDVb7lWss7Ig4vNdTh4wHAjNwj5foPdbLLDb3xba7jMoqgpN+GXVf/km4hnlVJG60DM5peYr4uW/9LlafznuFnBd9ZU59LDYANLVihZHU99pNrn/Q13wExbK0N52+uBM8l/l8jHuLkRmK0StpQHZjRYIn5emzY9jcOq7Khj4HHMOc7q1E49j42WeOcANhHdf9dMs/wcr130iF4DHF/Ix494jriJZW0cToto8ES83XZ8oWGajZsnmFezsP75hlWxj9sIEdf7h8/rP8zoLeAS7N24SfcN2l9Hfv7z/2IRxsxRRM/JCaopA3SURm1zxufqls1qjmdDwf8z8ht6ApwXB2jZonccU5oxFCn9D8T22AAkPBj2GD7zt9cAe4kJtb9UVEAXE68opI2Qudk1K6tY0NtP+MRVWycSWYP+DfPsAwcX+cDw8JxTpvqu8McH8a3qU68y5SNK4m5DdnRB8QbKmnddUhGgyXm67XxCwwPO7w9mBNvYn0bantbXshsTaOeAQ3E+KxUI+vfJJzXqAm3FhFTVNL66oSMBkvM11GVd+ezmWd4P2JOvPjNKPiQDVyk07YYPopvc20+f3Or4dvENJW0jto+o8ES8/U77LJ9jUc6NHQx+GrdGxoxzgmNegY0ECz05CeUwNbEBcRMlbRe2jujwRLzPK9uDT3P8Git7/UM74GvN+Tc7W3wwoIdNTJoy7P+tzP20ObqFz5mnEvMUUnroo0zGiwxnzfpXJzbP8fw5xqPc80zvANOatSlyb78b9jyxl4YDRZ6Otj1Nn1GB82Y1zo4i5ivksavXTNqNxnuyRnZHr854KdqbWg/OLlBFbMBxrMK9rWsMTsPxZ/sTr9Z3yycTrytksasLTOaXmK+jrs41/BYTW/0DAvB3gYeCU6L+maMw4+aQhmtG05RSWPWfhm1mw0PgUPq3NA/1XKEZZ5hPji1cQ21vQ0rI77f0DN6aTecQryjksamzTIaLjE/qM6NmAkeW1ND54HTG9uvmS1VzM0xzixiC/RLXkecTLyrksajnTJqnmF0nEvMR+/lbMMT1b/LM8zJefqzAWx/w3uN3GFZm+EPjmVDnTl/c4vhmyppPNomo+ES8+vq3NDzazmdN88wK755iysXOc6pud6HnRrTr6Uuj9Yf3yTeU0ldtUdGzTNMjXmJ+WjTwE9X39AZ4Jxm5GxeE/ZZxic345iYNqWMNgQnEYtUUidtkNFwifmF9X8W6EzDU1W+xTNMb9zz0Tm7Hhg1zqkVPAHcF8d2dFLfKHyDWKyS1q7VMxo+Txn7EvOFOzrf8McqZ7Z/0TAVnN+klk1tzm7L4lY2Ysp9iRVfV0lr19IZNc+wqlHPU/aCJ1S3I/awAcfIkWyf6HFOreKOeH4hO3j+5hbE14klKmktWjej4bpvLzaiU3aG4ZkG7Cc+rTXOKcotrhvQzfrG42vE+ypp1Vo0o3VcYr5wX5+t+nS+ueyAVhvnFCGef55dMPFoq+GrxAcqaXVaMaP1W2I+2iTwpLZpKAC8A362JT+wPxQYFOcGdbO+GfiKSlqdlsto/ZaYj97d6catLZmkEuY0+wNEMc8wNuuPL8bxS7gjhm1IDfgKsVQlrVRrZbS+S8wX7u5Cwx8as6s4teg4p7HApY2cKVrqiy8Ty1TSirRQRs2z+i0xH+018JSWTFIb4ur4/0m20QXrjsSJxHKVtLwWyig2o05LzEeyU43b9VsqUgonqKTltUpG67vEfOHuRhh+37C9dY+BwIBmfwaJGScQK2DXqaRFtURG67rEfLSXwdN1KFoXdnJj1y+R+uN4Yj1ssEoarfkZtesMtzZ2jycbd+r3vG5eBnRZs+NwHHFusz9Eq2p+RvHlhv7K2UWG3zVsb13mdwfCT3Af2lAdtnQgjqNdov/PRmh+Rht92DIOPFMHSvXxP9cHz4Bylf4Jdya+ROtRSfM1P6ONZCcaE/oNrxt/b9wf3xrL0pL4Iu1zKmmOLsqoXazT+Toyz5DY3uxPIY3AsSppji7KKMaCZ+tQtF6Y1D/bLsKxtEtV0lC3ZNSONw7Q77lIbPgC7TKVFOiSjNolOp0XiR/HqKRAl2QUo8FzdSgqEj+OoV3e7SXt/Izap42D1FCReuFo2hVdXdIOz6j1GB5o9ocQ6XR8nnZl95a0wzOKZ8ALdCgqUnd8rntL2skZtWONg9XQRhoAP9HszyBNw+doV3VjSTs2o/Y5nc43Q8LX3JRd7euwq7vuX4COzSieBC/UoWgzPKZZfrsXe4jbuq6knZlR+5RxdzW0ObiNeqKpm3EE8S3YNV1U0g7MqF1m+PdmfwiRLsbziW/DPt8tJe3AjOJR8GIdDYk0E88mvgO7titK2mkZtaONe6mhIs3H4cT3uqKkHZVRu9xwf7M/hIik8DTiR52/HF5HZRRJLQEk0lp4EnEX7PpOLmnnZNSONO6jhjbVKo29lwj8DPHTTi5ph2TUrtBg+xYwVCuISDQeQ/wcdkNnlrRDMoqHdDov0tJ4FHE37MYOLGknZNSOMA5RQ0VaHQ8n7oXd1GklbfuM2pWG3zf7Q4hIZXgY8etOK2nbZxR/0em8SDvhQcT9sJGdU9L2zqgNM+6vhoq0GQ4lfge7uUNK2sYZtSsNf2z2hxCRmnAf4g8dMhlYG2cUf9LpvEgb457EnzuhpG2cUR6ohoq0Nw4m/tr2JW3jjEpL2tnsDyBthgMJtndJlVERaTImiEfbuKTKqIg0H3cQj7drSZVRidFm+AOa/RmkXXEr8XRbllQZlVgltjT7E0gb4ybi+fYrqTIqIi2E64kX2qykyqiItBauIV5qp5IqoyLScvgh8XLblFQZlRhtBjRzs8SDS4nX2qOkyqiItCguISa1QUmVURFpXXyP6G31kiqjItLS2E+81dIlVUZFpNWxj5jVuiVVRkWkDXAOMa9FS6qMikh74AxiQSuWVBkVkbbBacTbLVdSZVRi9DEwqNmfQTocpxDvtFZJlVERaTOc3FolVUZFpP1wMvFuq5RUGRWRtsQ3ifdaoqTKqIi0K05qiZIqoyLSxjiJWNTkkiqjItLe+AaxuJklVUYlRgMBrcUkTcDXm1lSZVREOgFfJ5Y0p6TKqIh0CL5GvN+EkiqjItI5+CrxQaNLqoyKSEfhK40uqTIqIp2GrxBLG1dSZVREOhBfJpY1qKTKqIh0Jk5sUEmVURHpWJxILK97SZVREelknECsqG9JlVER6XAcT6ysY0mVURHpfBxHrIR9ui4lVUZFpCtwHHFoXbasjIpIt+BLtJ74D0iVURHpInwx/pIqoyLSXfgi7XNxllQZFZGuw7G0S2MrqTIqIt2IL9Aui6ekyqiIdCmOiaekyqiIdC+OoV3uWlJlVES6GkfTcQvKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMTJwGZ/AOkc5LhmfwSRJtDRqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFxooyKiDhRRkVEnCijIiJOlFERESfKqIiIE2VURMSJMioi4kQZFRFx8v8Bajjt4UNuCssAAAAASUVORK5CYII=\n", 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "20-06-09-FB-180719-e15ch1-1.txt 1.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%run simulation_fig-1B-3C-6E-7B.py parameters_fig-7B.yml --prop order" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 7-C:\n", "- because the run time that may be high the whole set of adjustment in this notebook is not propose\n", "- instead the final results is display from a csv file\n", "- however the user may reproduce them by changing the input_file name in parameters_fig-2-B.yml keeping the same initial guesses for k and K. These files are located in the folder data and contain the following strings: 200619-ybfb-e11-2, 200703-ybfb-e11-3, 200721-ybfb-e11-2, 200724-ybfb-e11-2, 200812-ybfb-e11-3, 200619-ybfb-e15-1, 200619-ybfb-e15-2, 200703-ybfb-e15-3, 200721-ybfb-e15-1, 200721-ybfb-e15-2, 200812-ybfb-e15-1, 200812-ybfb-e15-3" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'fig-7-C')" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = draw.plot('x K median', 'mediancurve from cut and flow measurements',color='grey')\n", "draw2 = pd.read_csv(\"data_figures/fig_7-C-e11.csv\", sep =',', dtype = float)\n", "draw2.plot('x', 'median-esk1-1',color = 'green',ax=ax)\n", "for i in range(0,10,2):\n", " color = (0.25,1.0-float(i)/10.0,0.25)\n", " draw2.plot.scatter(i,i+1, ax = ax, color = color, edgecolor = color)\n", "draw3 = pd.read_csv(\"data_figures/fig_7-C-e15.csv\", sep =',', dtype = float)\n", "draw3.plot('x', 'median esk1-5',color ='blue',ax=ax)\n", "for i in range(0,14,2):\n", " color = (0.,1.0-float(i)/14.0,1.)\n", " draw3.plot.scatter(i,i+1, ax = ax, color = color, edgecolor = color)\n", "ax.get_legend().remove()\n", "ax.set_ylabel('K')\n", "ax.set_ylim(0,1.2)\n", "ax.set_title('fig-7-C')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 7-D" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'fig-7-D')" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "barwidth = 0.4\n", "cut_n_flow = [9.86, 47.68, 71.43, 21.97, 60.15, 34.16, 10.19, 23.42, 26.62, 22.17]\n", "se1 = np.std(cut_n_flow)/np.sqrt(len(cut_n_flow))\n", "esk11 = [10.9, 33.6, 16.6, 10.2, 10]\n", "se3 = np.std(esk11)/np.sqrt(len(esk11))\n", "esk15 = [11.1, 12.7, 39.5, 9.82, 10.1, 9.69, 60.5]\n", "se4 = np.std(esk15)/np.sqrt(len(esk15))\n", "plt.bar(0.2, np.mean(cut_n_flow), width = barwidth, color = 'black', edgecolor = 'black', yerr=se1, label = 'cut_n_flow')\n", "plt.bar(1.0, np.mean(esk11), width = barwidth, color = 'green', edgecolor = 'black', yerr=se3, label = 'esk1-1')\n", "plt.bar(1.8, np.mean(esk15), width = barwidth, color = 'blue', edgecolor = 'black', yerr=se4, label = 'esk1-5')\n", "plt.xlim(0,2.5)\n", "plt.xticks([0.4, 1.2, 2.0], ['Poiseuille', 'esk1-1', 'esk1-5'])\n", "plt.ylabel('k (1e-8 m/s/MPa)')\n", "plt.title('fig-7-D')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Supplemental Figure 1-B" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'supplemental fig-1 B')" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df1c = pd.read_csv(\"data_figures/sup-fig-1-C.csv\", sep =',', dtype = float)\n", "marker = ['o','s','^','d','s','d','v']\n", "colors = ['green','green','green','green','purple','purple','purple']\n", "ax = df1c.plot('X lowess','K lowess', color='black')\n", "df1c.plot('X lowess', 'SE -',color='black',style='--',ax=ax)\n", "df1c.plot('X lowess', 'SE +',color='black',style='--',ax=ax)\n", "n=0\n", "for i in range(0,21,3):\n", " df1c.plot.scatter(i,i+1,marker=marker[n],color=colors[n],edgecolor =colors[n],ax=ax)\n", " n+=1\n", "ax.set_xlim(0,0.2)\n", "ax.set_ylim(0,20)\n", "ax.get_legend().remove()\n", "ax.set_ylabel('K')\n", "ax.set_xlabel('distance to tip (m)')\n", "ax.set_title('supplemental fig-1 B')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Supplemental Figure 3\n", "\n", "- This figure shows 5 adjustments\n", "- only the results are reproduced\n", "- to perform the whole adjustment set just use the following command line ''%run adjustment_K_and_k.py parameters_fig-3.yml -op' with the different initial guesses for K in parameters_fig-3.yml (see the yaml file with K initial = 0.1 $10^{-12} m^4.s^{-1}.MPa^{-1}$ for example)." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Dist. to tip (m)')" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dsf2a = pd.read_csv(\"data_figures/sup-fig-3-A.csv\", sep =',', dtype = float)\n", "ax = dsf2a.plot.scatter(0,1,color='black')\n", "for i in range(1,6):\n", " dsf2a.plot(0,i, ax=ax)\n", "ax.set_ylim(0.03,0.045)\n", "ax.set_title('supplemental figure 3-A')\n", "dsf2b = pd.read_csv(\"data_figures/sup-fig-3-B.csv\", sep =',', dtype = float)\n", "ax2 = dsf2b.iloc[:,range(1,10,2)].plot(style='--')\n", "dsf2b.iloc[:,range(2,11,2)].plot(ax=ax2)\n", "ax2.legend(bbox_to_anchor=(1.05, 1), loc='upper left')\n", "ax2.set_ylim(0,5.1)\n", "ax2.set_title('supplemental figure 3-B')\n", "ax2.set_ylabel('K')\n", "ax2.set_xlabel('Dist. to tip (m)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Supplemental Figure 4 C\n", "the figures are not shown from the same side, to see the representation from the same direction run the script from a console with the last lines about viewer commented, and then rotate by 180." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "('plant-01.txt', 0.125)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "('plant-01.txt', 1.0)\n" ] }, { "data": { "image/png": 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Sol8BYEup6ksRcKvznA3HDMYxjY30MrzHd2qohfqTADyWMuSm+QmfrR82Xz89js6sItopE6bCwYFotBtCvytUQ3vat0OJHiZ6IH6PTdN+6xH9f1hv4uGLANzSQyEHALB2YACHllw5e/ushwocjTuZwmKtIw7vEQ4AVuBpAA70AwA4TDcYbqwuNBUfM3r1om9QkOt6YI/2EnAYAD5tHUpRiurGyqsaNuQ3wlM1WKF+dRuTa3YvK5z6Ps5akfZFP+QWikyFgwDRaHeD5iqUwWc/lOhxoofX6O2a9nPq7j/UUMI68+Lrj3Pl9h0P3flOfLmHz/DfDwWOirr3ePSzRt4PgOjeqkGOLYYh/Xv2BgAbdl8xuchmdYfEs1oB3Gi4vrqwfos+O4O/UBsaleeeWuW+2mkLHnFOTnR9rbSWtGyRp2qoh/quwaR1cVieMf/Uf6ekfLWzZPEgVM0eN3Ip3bJJfCocIESj3Qqap+oLoD3TzKFE06bQczeM/5emfa1pP5QbfgagjiNss6y5/bh6wzeuYjo4kWnko3YHbkJtmuDagz+FHoyKhQM40fBMWFhEHaXDhpOPODrfaoId6htCw/zpeMO1GTjFgHJkxastBGAvSifSbHeNK/b+c8Hbro9xqZtqaFjLRvlx7eo1UJ839kljsDxTO+O929YbU6u/H3JY+JnotXP3j3MmXr6MJqwWnwr7F9Fo94EWqrI8LPEYyxO9PIGeTy+snavNXLX028Z01Z+wzZJ43wVmq/sXQOUQeoKjFwdvxlhpQTjRU6m5KEqf7QwHAB10BZUlzn/dH4Ye+dZq1AP58cB56perXA/darjqV32v5GUaKowAdmkPR2CIK4uv2YV8qGoCcFvyRUB/n80+pmlXbG76yjXRWJmliMavOOGG+XuW6z8cM3rcBRHH3axFJhkWzaZbl9LkJeJTYb8gGu0m0DKVk4G1Df1QotdupWlb0yojtU9jN37jWVKBkGp1vnBj0vpXbVYngJF0Fp4H5vkYUPugtnQ4lpWZLbu3/nTev5UzAgAciCjYWwpYdTisbsU9sIHfTkVeCuxHNz53u+GKTJQiP1mtddnN1piV/tR8NEQorUWlv5b37d3whYcZuWon1u1z7cx/wnBKkeGnzZm8hW64ZsRt92qLx2vz9hZs/50mLBWZCp2MaLQ7QItVWjK2Pc8AJtPb4+k/i/Rli7VPcuO+9iqpzIQ8m/PZm7fllQKwI1xlUWTuPNid7FjfqsZs9XWwrl34HYBeEXC4e6P4R/ptuo/+iHCdr8+HWkj8ZgL2ZatvmixWp10bv2YhivIAVMHamF6AUizfrcIIQFp+4j4a6rPlD3cVV1Rmf+Rp0tLt2JDrMqnSn/5gtK7EOCexYvsOug3Avzftu0eL1Ou//3LcBb/RlHniU6FzEI12eWipituDU3eOnkBvXDp+2jzt9aXaDJPhq5YlVRmh0l747N0Acra8CmDisiIUY/rQ1/nvua1paxgVGefdtsJ6qetrzwjYwgHADnenNNy1BD9Zcy/WH1mD4hJPkxocJZNf+1Qtp1gUTqA1rsTUmsJt85Kgr1GldOXmwYNwrL8XeH3VDjug3vYwafFWbCxoPC16x+Ij71q9r962YR5d6VrEf90w8MmV0VO1ucm7//xqwvhfieaIT4UORTTataGFShvPaS/w7sKySO2tbUs/8VdS5RMs9k/HXj5EV79ibyEAlUooBd4Ette0srmL8X/r4i32yHtcX3tFwNrQGwUAG8Ia761zRX2y2vn19SitazSpdd7Vr4w5DDkJVz+6tkdDXJIBy08fgH583nJXD7USdQHe4WVNG50I9aqHSQs3YVuR57n7q+dXW/bN3rL72yV0feMK/ut7wp+IXHqfpmVmrP2c6Bein8WnQkcgGu3C0N9Ku909Gbpn4wx/xa6jLSqdAAcf+/fzUZsAa/Wu11wO1aYOA8A5y1vVHE2Pya+tTf2yMaWnDlYnAJgRoV4iWNF0mZ17ld4BgF9dihJn4zr7Hms5P5qCippG/QIIc3Vjj9VUOZUbcwO/SVHKinPToF70MGlOFHaVeJr0ru0nPLfnCLNlUeK+VSvotg0eWa/GlD2tafdrWn5B/Cyin0SmQmiIRrsw2qSAEZuAC2h73fm/faOPxwAnHzePKMP5n7v+SsstpRNRgEWPHU9jcvFtcmvaInp/r632oseahSnpFQFLGACY4HDFJXE2/ka5Dn/aHIsnnQqAX5uLGveOpbDIK0+iZBSlJ6JgHC1zFa9oOFAPff67P99UQGcHeJnPE6pLilLOzIJ61sOke9cjpkxNaebESQv69CjZFm6Pya7Zs568r3h6ZVPqM5qWpv/jvXGX/R/RV+JToV2IRrshkynr5Imb9576Q7R2yWExU1/ZtIGHzCXK/r4wBjCWnvr7k49fzFdptw3MwT47H5/YmjqLYPwu8wq+x9AsNQKuHVN10MG0BxazV2+UXzT0DHfNkoJf0RoH6+nmIn4q4+wbZwyEe/N/IUqqJ+8FwNdvRhFsHpfa+2RGVILJXHtSPtQTHibNWIukCjWxmQ0fNpxx/d+5urq1O/VffziiqGVVHxh6/G/llqc0LWv3gncn3DqL6DPxqdAWRKPdiuvI0O+GtdP1a/bOv/zktIcBqAJa/+waouzZlfoex8x4sfKufz98Ll+tAcAA8Pa/W1PtjfTeJjz2wX/f9s5o0Oio49ZHpkzFX71sCDufBgBAkfsEpwNN947wy5p6hwD0WHj1CZTED25vHNdvTIo5K+xcd7FR2rRPTg76VvmFJTqAv9LUw6SIXCN6Tl6NjCp1h7cHp2486iXDkJNGD91NU/xV+NEeyyuRi5/RtIKMze8QzSSaKT4VWoFotJtwPqXVX7Zslj6qdtW1ZxgediWqfcTHavnIn2uMn/rYm8r25MfP3/n748MBqJsJK310zVoyif5vZUJNcrEBlgqvLB1gmM4AYM+fcMZO1FocsP+Ss+B8GsCPaM6lowGY0Gw7Kr+qqfcIwD5tFIASVKkFBODSpGt6Naw4AcDGNJUbRGG/7thVDLxIxD9oGADMT1LHXakuvwWnD0RPqJt9PK4ibVsTPl416bTdAf34YUz+q5r2nKaV5CdNJ/pUZCoERC5Y7tpcSDklqNmcmgRtSl+cOsojS+US1sT2W9E7Fimv/vtT51/P6h5ezOO0shNHDTYApWB7VND6ib5cV1ja5+xpb9z5MKwtzon2AAD1b4IdcOCLnfdVOy4Yve2amG2uaCN9ARidJb+O63XfyqaYI0f/GKkeIf6vBmCLda9xzmuLtLMBmD1+G/meOLXtZFVNfKYW4PUsufk11qKXiBiaupN4toZ8AFC6UTj6SHXZLRjaFwBrTZU8lnISUlJ/vDamdooaO3dJ4B//vc1JQNKzI8L/N+4fhw08thcwTQv0PsKhifRGuzbf6TdkaWcOi/ceqKpMwuoEfjC9VjO9+sIbfEOUbuqffIMGAE6oyYSvYoJWTvRjvKOmdOOb9dpgmKv4IYN3CdcNIPY6OJFYevP1p56Ra/PssUYAWHjWEQMHnuf50BcGK4r0rtG9JfK+3uihNAJQhGLPYm/PzEKzC/F88PvWzXUnn1dTWfwsETRD40o9O5O4KArOMNY0/JWkjrxSjb2lceAP4KG1h42du0SbMDC2FT3Nzwz291ZuekXTxKGCT0SjXZvzDPd6pSwauSn7OhvW6PmBFAAqnr76+GO1hPgWtwKeqF+MrVa+ICNo5ZmoTZ33X/cXo48zmroIqMcJlsP4a61nWFgE+mVZPbegumdFwz1H6wAAnmlAeaJrdA8AZTkAsmqzB1DTRGpRbQ4261VGEM05i0pqDj/aCbBZD0ApjxWnrYvUlXdwWBKXRvHWJaxp+D1ZHXGlutStVIqs2p46a9Xk8/xXLwjBEY12N/5Y+sWLdBo/2tBzNBQ8cecLez4f11SiJzg/Mmg919AP0dozTd+tVb7L2cA/aADsiOiDXvnWJtvaEQaA3zBYfW2n5xnJKDeo92k7svLXf65+pWOXDRvgEZfkimWl0zcORWq5ig1k0tlR6+3ALE17kghFQGFzk0YtUFc17XPinolcEcXblrCm4ddkNeDKDX0e+TFspFyZJ4SCaLRboTII62MbHarm0Ut/hTv/vD9+1UPulGsIf2UFrWcy/bkkqWlpSP1xS5OXPQhPcMLi7tXqoOuF/k890xRHKg/1RN/NpGtrG+6t84I/0aMk/5/46VgMRUm8+p3Cmod3siKCx6+BMcjbOsuqANTHbz9qCDAEwO5mJt0wX1012UfrfRK5Ooq3u5UapA1B8I9otPugkglRCfyvdPfXPwnhqDDt3VGc31QoB5/d85/A9RDNW1JS1Dfp5aYki4+uqJpKsJbxr+45Vh3QF7084o1gu/YUMKAiYWVlZrJGl/psi2dszj6hGLDytFQY6yubh3eqRzkAHqupnYF6i3+uXXkX0c+p+2pz9g0AmPcAic1NOk9dH6gG7tOqzbOC4BPRaDdB7SFsS+aHUtxf/ySEgydo3/b+cuPRN7kTLydO12zOcP/VgGjBRpSb1j/bLNXkvdVJTSU4HAhrWgOyo0ef5hoFABzptFi2jDsnHL38tcifbMhFtXqTULqnGMV5k5oWmjIzN8TSRQCQlK30gTxor6oH8Mu27Q6z+T4i5mQgWammNSVeramrZeQudAqi0e6A2k3YkcYPJQIw0Ti3Q0m7lZavys1xuu6RH0XYagYAZ6CqElBXqD3arPI/6F+rNzdLuYfgBHqHwdnUz3UgwoowOLxWk8KmG/rCZrcG3Fq3sDChPvkzVJ+/M3n76PBzmxqKPrwnjgXAD+xAOdQq/x7ckegy5o8L3Vc3MycCifgqWx1O6iJSRDgK6hoxqdDxiEa7PCqBEGPg++IAVNJl940fCDtQrAfwrT6pcuvjDrjDh7BjIQCbw+9f+lhamKLd7Z1qqaoqaz6o14Fna3DWOa++oDHNDqetIR6Ji7cmnNGwJQrm5puZvDhq4119EA4rrkgc+4f+V88sI8pcH/h6zfmDztfTAMCVWTC6u8a29Zvud51o4mToHBgH3qnhFT1+LEYS1JXkde5eEEJENNq1UUmE+Gy+X19FNyVPPPFf44ciArAU8VMGAMcZpgGwIUydQ5jvnjN1On13R8fTusUp+3xkGCsnRJ3Y1KIinq2p+wmWPfCYHjDDXo8wz0G9cfduK5wA+ENDXVX2z7efEfBHcfInmnqRfn7oafVtk+ZKKvesJ/eGpFg9iFpYvpGtqa4Oqa1quDkx426XSQfvQj2UIj7HwP03cJE27xgd3tit6m9Wx5O6jtRtolQhVESjXRgVS9Dn8j07Cui6jRm/vHXzxYgAwsAPNjue9Nrip5EBHh3r+urTouNo46KyvYMT/u0jz9Z0AbJSBMQBgBM82+BZUx10NtgbNfrGjScBSEXVjbQWQNToE/r0OnbaJT6uq3OxHumXUjp/pKHk7KolTbfV37SqdACOd31ON3BNXTjRfT5r4LIU2B0A2LLFcdYpzrLKu1wToxYAsY0rTnbmpdPPcT7Qn3M0XqPh0wxlm6yGk7qR1A2iVKE9iEa7KiqGkFL4xZLDEyeftko/4/cn/o1woCeQo/cuelw41zUdv7H7WmLaivzwtQ/5aOWHSbC6B8tKEZDNnAYAzjTAfYOICwvsNtgeWe7+japPN3xg6JGs3d4LgwCMyD4jDL0+2Z773HkD3/a1SbNE+8cwHAeAZ2oDRxZOoWlNL+zRxV2+9LeGiNC+2JrhXlPKhb3ycHdiLvDN8Z4mrWVeDZBSAHhkDEfM40yNV2j4IV+FkTqNZDFKaBOi0S6J2kRILv1kQZ8tmX+dNS912cvvIBz8gIaSMn6x2QZPNZywsdk6e8ve6DBaWqP902dD9y5Yzc8b4HZoNfMOAOruSbDVAPAUch1ghf37a71r6IUBrg/1qAIwM7aqYs+yN32Z1NGoyzp92PFN0ws1qPYspmk/ED3n8225IM79YauGEZijaYoI+kJccyQiRwDxjSatYN4C0DL5m18AACAASURBVD2q2eMnbGaHxqka3olRuTeoXqRGkbpUlCoEQTTa9VAb6bkvzP9bWLpaP2NC9AD1NcEBfkBTPxI/sda7dCGef+DLZinNPXoWbcrVxvtsaD2dMvv6EWg4Ycm8oiGnjOcY0BRbFAA26XWf6+c3mvBjQ6NiwwA4ATOKP7u2F4CZu2urknzEBMlE0ckUB4C/NaA2Tj3t9tfe9OUb6TrPkllFRqIXfb4ztrrvCnVfPLo1CVOPwSCwZQWiTgfiGk2axxyrAz2oWtbBl2XwsFVs1jhJw+cpqvx21Y/UaFLni1IFH4hGuxgqilDijNZ/ds7c3Q8aRqkf6er1MfyopuaQa3W+WeGRhMh4q6XZZs7TtjcdjryU4pamZvpsaDtdmKZfCov7HCeze1pA3T0FzhzXZ8/e6CWGKTMf+rrFvlE0LtZXxO0aPPhy1+eZSfUty/0ev2M0hrub+zYNuVDPEICHYwf0bujSutgZ9Y3nBSSecO5296dUqBuJc5OQVYid2wBw4UKknON5xil9Nu8JAz3tw6RNFV6YwIMWcq3GuzX8kq1qSA0kdRapUaJUwY1otCuhVhEKcf2Lbz9lOBmA+ppgx2Naxhw6C4Wl/HLz4fwAQgxe/nGVzeI7UNIFlLSswnBivI8Vm3gal5IUue75F+G0K0WNDgUAGF1dUQCOgFtQ3aUbdkHF3nTtvVqLzrIHo1KnTtc3Hfbn+RqMBpdJa+B96Z6mfUj0hu+K9HmKiJM0l3t550Yc33CGakEqskd7mnT3D2wwg14OZNKmVxq9g/trXKVhhh7zSpSR1LGkzhKfHuqIRrsMaiWhEqy0hw1nwOVQB/hRDcDCf5zJ/1nn/YAO3F8LR7jV7KOLCECPfUesnuQz6xxt5QNJw2AshX6Mp0OVItjSGr86vBarbGjZG92NvIso7X1Ng9PsndeC0YZmTv9j3fUw5alnqKQsYQVd7lV4W0YtkY+L/Niwxf2p8Sh/apU6jQDw8N34uwj7RnvOk+q/5ax60ButMqm7iRsMfMZ67qNxgYZZCSrjZmUlNYzUSFHqoYhotAuwh25TiwhlYGoYWbsc+qQGQH1PKG8xnD+CsCEPwNnasOv0F7Ws83Da4tRuCtLwzqHAnuZJVvdKPYDmg3oAsPrQaLZ2+SAcBaA1GvUiIuODzcnjUFcWOfKK/jjaKzcn5lOLrY7oUx9PxhcpImwqdd8sYl+JQe4cHhqFDVUoPAfQN5p05yzeVwv6uA0mbYSvTeFTlnEPjXM1/JKh8nyEQRG6N6LRg51kuu2Nu3ujHnxXg0M/J5jdDv2aTkRJMb/RIvxSIfi8Ld6JDRxPiZXaZYHbVYqAEuamiPeKCGh29XFrBvUA+mMgANidD7Y9Hl3eptfzqm+Hvc7oa9p1wfzXfD7FqVEA2OzRQ+/jkdtrJeKMzAYgWilSFgKw/VPOrQTNao9Jm2q+LIaHzgulBqErIho9qNlKV2zQz4AJ/M8Gh84iOMDPur86cTH/b4PXU6o/cS+/cdpPo5xV6amB21WKAAfz+mapGwvQPOSdt0bTjvQZr97uXjWHPSPNR3YwopIq+PulRke1z9y5sUVEP/vISC5TRMiEOp0AIK9ZJlctViMnM2cCsbgXqoIAbH2XCypAP4ZkUuEQRDR6UDNW2xj11v9YefRDnU0OVbOo5XK1iiDEm/xVOJwK1lbtOSPW95SouwbXUPe8LO+MK8OZm3V7PQf1ShGw21eXEWaEA+CvDKaxve4b6ztiXgDCk944447Ps1MXrqabW+Y60z/KqSwh+sUrnRPXAuBoDaMBAPkW1feWZiUWpKiziDkdiIUFKo9UHW16k4sKQb+LSYU2IBo9qFFziO9pkOYnBHOTQz+7/ShUVThaeqsaPHyRvwpjkTNs5fVB22XWYG8Wsl4pAnK8ijma5cbjxFHwRVljH9Vm+nXrtvuvuTroC3ixNbGGz1joRB/1oI9pgW2r/OwhzaxURO6dAssTMLKvZyaPSsLifHU+Mafj6R2I3YdiqGKKeoVLSkDzxaRCaxGNHryoP6lpPvRTghP8QtNQfdtFV/Prq5/Uml0HonoSotL9VRhGyQM1H8tNzWpQxKypTwg2r/F5rVdXFA2DepdDmVN9LjEBiEPu6VQDAE4TgF/Wrb9/vI9+ZQCOyHglrrDKBCOsep8m1bT7ibwnJTl6FQAkQF1DfLkBh3s/xSdvxvpKdSkxZ2N2Af4LbM5QyXT0P51lBaBFYlKhVYhGD1LUb8R3Njj0fYKjmUPVe4TqFqvz1YQM8E2xPiscQAWb9ClBGm3cImot91y2UoqArJbl19/KrmAlzIEmW03ayMFwRRtxT5L+snRZ4DdpSUaesbRIf6d5uD+Tbs/JJmpxOCqnltM0HAkAKPVRLQ9cBX09AOZsPA/wKXymhrUpR17h1I110lIxqRAc0ejBiJpNPDWgQ2vL+MMWq/O9wCf4Xlk6kurWZyZcZgg6JdpQp62keaaJ2cdtRQ0ObVg4soX7uxK5N44AADvUo9cEeIcADDG8NKns5V44nGcbYNKre71Num/b84CJaIFnIm9bpojwvh4ACqBy/9GyZrYsUUdPBIACG7BFKeJ7ElBQh8XxuqOcKke2ggpBEI0edKjfCWnunqbboa80yfF1ItSB3/M+DqRqCHHeV324OJzM22vix0TfEKhRRUAlc0MP1+q1SFXg55Foz22kfgoC8Lga1Bns7nn/DEx81gIbAJ5jgD2ppUk1bXKznU0uSo08wgAAa5NxzbG+q16VpEYS3z4fr17mNukNS9G3JwYCS/Rqy0SVJTIV/CIaPbhQPxNS4ni6AYB6i2BucujLRM/RDSUZm1DfIhQegGrwxat91rkHhlOWjw3UqDvyyCr31/cnwWnzyJ2IFld7KkXALubm5/Ft8IdLo/yDAWjzJnxP6q2Vo2kRAJ6TBIehpUk5OYloW7Okte5wznxeYsvpUfdT56Zi6T41imADcx6wXSlilcCnaThzDIZHYLlebbhVJYtMBR+IRg8i1C+EzER+Nw2AepvgBL+pAZhG9CxdU5Gweqa2qvzKs3mm93Be1RI2xPuss5YKjtHODNSo26EeswGmYpfHGyj1WlxqcOheH9XVweed71Wo3nX2RgCw+d2M1RryUiPfwU+uz/yHHpZ8zxtAAegS/1NmzCPa2JjCujTUNKx8eR/Nb4JP3Y51FahxAmDeB2xz/8lcqWFHEW4aw1ctxjq9WjZOJYpMhWaIRg8W1HeEvXt4ejJc/VAH+E1tGtGTdM0nmvaZtu6blAr14oQBC7Z5P1hAyATf7WORJ5zqd+hjgjbdPPIIYG+65Vgp8tq5rhQBO3071AoM9d1EArJuOMO1Oh+SRqclHx6O8KENS0nMm4FyL5OuXTwZzW+Fwsp0t9zLAlXOQ1aj0KbWu/6/kgPsdJv0jihE6ZWeMHkM37wSG/Rq4TUqnlSc+FQARKMHCep7Qk4Gv7UbgHqVYMGQZOe/Jl37iaZ9qblPNKoXCaZEh81H7Hoe7WNlqSeFbdqrv9bgO5aou07v6E1Q7xAcRo+ESs+uqFIELGfO8l1dvu9kAAO1QUe47gLZG/hGpuCYYI3eU9j4lXkNUO9lUk27miiuqYwjEVYHAGzfq4YHvLCeIhtj8jFnueKTqjXE9xl4jIbdNpVN/JSBb1/H52jY7Gt2RTj0EI0eeNQPhNwsnh4Dl0OdGJhQ8Lk299u/m9aR1EsEY0W/JRU/5lR6Pkukci/yEXmzJ4Xp62LG7vKxMN1UpyJgh3eqxcjvZXgUyG9efjmz/4Hx0YAVqPQ9ro/AQHU5Ib1MTb0qwFsFpTBvx8bTF/aZtLwxhXlJ8xDSABBTbCDyiKuybK8i4uG7XFsGAuExw8ucBsThe6hfb1TLCJYIbMlUCe6fznVvoCCIRg8w6itCXi6/tRMuVzrB72rfLdrkXc5q5S9Ww25vWcOWHG6ZmI6Ms5ee2zK9qV1FwF7mbO8MW6HHlzrmRI/yAR0KwAaUgldpWNLCzkA9nDgGnLcF/nZFtY4ntxQpbXFMfN5Q2tqYyDzPq0OasWGS1eP2ETY39ByDNl7fLFIAcxqwG8sG8M0a9uXgsOHIgYoilS0jesGNaPRAor4iFBbyG1sBnEjJLof6KPYcoS4B8I4FQqQ0zYdDy6j6RG14oHYVAbXMu3zkOTxFWexRPphDXQx0AOD6FnYGrLA2KCyk6VEXZ2Q8vKek2DOFWfMyaaR20URqOtPFmgYA/xdsJF5oUxub1cO8B1dALSJ+YhvfrmF3InKBRKhMMakAiEYPIOpLQnEpv70RwFBKN8PKH/ly6L8Je638bQYAzxE9kTL5jnmEwdoA3xmuCt1L8z7OEb1NBJu1odhE14pMGxxqNcPqO0Q0gFLUvFH3LQDA6K9Mm9i7r2oAbW6epvcy6dzM+ClU5JnCVwYZifOdkYhokfikhn1QcwkA/zc5+jAdYvVYW6UWiEkF0egBQs0gFFTym+sADKV0C2yF2jm+ixaBF0T6zFm0wkdXNEi7Lbc3eZA0opI/abRMKXOmUgQsbpVDATh7YWmtv8xUpJ8y+GIAjaYOkdGG+6JTm61qMRu8TBoePbnQUXw7ZbWtal8bYPkpDblukxru4JhzL3A+djjf4TcgoXDoIBo9AKhPCZW1/M4qAIMppx4o0XyvX6unfHd2iFR6VDtb9+dQALC5DyG5rqRvcGhbOo/jD/OXc4qGgTgJANC6aM+t4NR4sk3e6pnCbABiPE26ad7ZZvRsW7113gtW7sqf05ALpRGA9Fs4fgmorxy6F0Sj+x31KaHayG8vA9CfCiywVmgjfZf8F6EY2OgdaoRIAYgtak9XNJBD4bk3vgy4uM0ODUZP9Ha/yd1XdFSdsXE5h1GzkCvMGUCyp0m/jF87idpyeqrYvXu0JZ4mTb2JE5aCjhCTHuqIRvcr6j1CuY3fWgygD5VaYa3xsxakiFwRP7nQR+A7nytLQZpWBEQHKvDSBNe2IaUIGNzhDoVrsd51Ir7t9zL548IMlVZa5JXInAhkNpp0ROq9O6oTb6K6Fk/7hu9bgF7+c/+jYS/UbAKQcjUnLQQNEZMe0ohG9x/qPYIR/O58AD2o0gqrSTvBRzEiNXkKDgeqD0OG9452IlWe1/KhYE0rArK9j8B7YS/3OGYa2VaHKiLoawEo5Xdnpq1xt5G9AxbrG8nJLrGS19V7YI4GChpNmrtiTA1aq1EgUHwAAPyShny3SZOu4D0LQCPFpIcuotH9hHqXYARP19DgUJvWLNqQIlJE6tyrMFePATqYDAA4ZnPLqtZsaVtXVCkCzMw+9nI2w1LYUDiSuV2rQBfUwtkb9w7yl1+Gygw6HkBHLda7uMQwJSnNx+FU5k1ARaNJN2tHj6dWT8uW+Z4ebcIE5LlNuvtSTpsDGiUmPUQRje4P1OuEGrdDw6jWCCe0o5oVIMKSRNY0jtvATgMcVfybHibvneJEKr6NK0sNS/MLgxd12lwORYurjNvAkjr8MsZf5j4kDnLHbw4mqTZybtxNFeQjIirzasDYaNJ5eTtuJf/DdU9KbGp1wM1MNfEIc5tUTafTopy6h500Rkx6KCIa7XTU6wQr+AMNgJ3MdXBGaN7DXtY0rndbQD1AsGcoIl7ULAKxa2UptS0rS4G3NzUr+Z/bUDwGiATGMLd91sCNE7f2waI6Ndm3gM7V6g5za7TDFusbiY8x2KiwZTrz4sbm+my5JANl51PwY1T86IKWu0ebFfgkFTbwfzXkAseCp2nIL9Td7FTvk3qf1Buyn/QQQjTaubgd+r4GwEyOejj7aP0Dlb+HYDbwbN9bxNuxstQahwJAXm8gEpjQ8t661jJLD+ex2ABM2BjApBENazdKBTrv3w6uyrjVUO47OArz3MYOaYrWrycCHU9owsfJ2+bUO9RHxC9ryIf6gfjjjTxd23u3DgVxqLWoV8Wkhwqi0U6m3u3QWtLVw9Ff6x2kvLMCP1YCwOoEz2QilZ3VtpaDb2/yKAnMZbYChe3uivKxBuiKcFUYALYsxSLf6zlz9K/AvbuzI1eZXOTuLSj11SFF86Oiv6Yuu4WOCV5dld21sckf/E7DJXo1xciHemkEgJ0ncPar5zmTe/E7sjP/UEE02omoF4g/0QBUUg8rrEdoAUeJrq6o072YzhVNeyGvv/FOIHzHzrYO51sVxs3lUAwerhQBua1vwhdN045sWeqzxL2G8xo+dvBuKgDXGsanpfu9GBWIdpn0tPhrNpn3nEeBhgUAUFiGwcGaNAEAf7wBNiBrjKv+7UdzrgaaIPOkhwqi0c5CvUD8sQaglPq0yqGK4NjNcwzcx3tEf8SAXpo2pw1NKwIKWt6H7KfkXAy+kb8yANX47oLWtxIyHd8bBTA29h/Z5LtDzZwJ7HCZrmrh4UF3P/GTG4L/+6hJUR8RANSW43SgYT56a38umAeaLCY9JBCNdgrqxWYOPapVw7tynuO9+REA0cN1Jh8RRf02rQhwMrcItee75FxmJxyuM6DZaEM7PmnT+nvHrzK5SIpJLfVzZok5G9jlMt13+jljyce+3WbUB8nnjxP4RQ0Az1gDAMfUocGkm8K5aBFoipi0+yMa7XjUs+SK1ZRP/evhPFYLuJPb9Ygi5jV+MnsuXfRza5t2L83PbV3JucxOAHDWKDUZKAlZoy6C/7wN73B1h7Tnxc0Z12RX+J2dYN4LJCpFVxluXVG6/Rw6MVBdlXb1Z6tXimqrcbh7J4LrLyLKwiWrpE/a/RGNdjDqWeLPNAA5NNgEnKAFH7oqRYDvC+mIXtKnt2UnvLN125sUAX+5HKr+NQF2AGnMpdw/xFWRNvRGmQ0hxm8OQH5mTrb/o5/MyUCGUjRg3XF5qPRXDAAKkuH3MEGLaj9dAYBnaRgGNJh0fRWXbQXdISbtzohGOxL1HKFWDyCTjrbCMlxrXXw5lDH7uJCO6GXAYoj9vrWtE7kjEwcu5nZow1+9sxI1YwDfC9xtI+HINj7Q8atMLm41XJVuCLDWBOYYIEcpKtWqTqWT/RabltK2uYe6evXkKJhqPE26Np8rEkC3ikm7LaLRDkM9QaiM4x8M6TTUDmsrHaoUMa/1k6nTtJmtbZ0IkcEvAfV2KABHAZDHXOz/oda9wFmE7333qf3TKatMLq7Tn5tAfoOfAmDeBpQpRYuzlp5Ffk9eBd896lnnJ0v4yyT+cjlsYNYw0KoeJ/UUDbrRWZUhJu22iEY7BvUkwZjIP6el01AbLCO1ilY9FWg4/2ZeeWvDICkiRGexNaMVzTV3KAC7FchqZUN+ax5N+DERn49q43OdNah3kR4Tn0U9AhRgXjvSWMMnvZmB9CH+lpvKWzvV26zmWZp6nvi7SJQDdXqYcg6/wqkb4lSPyJ78bohotANQTxKMe/jn5GQ6qR72M7SSVj9a4nM4DwAI27Lm01a1ToSias7cGaSYL4eqh25H/SkhnP4EAHU64ftk9GncY9l673TWYr2LiRmX5VQGOZT1zqLlNsCkVYfDx83VAPje+e1s3lStnif0LkT4GNQez99q/IMGk17df6V6kNRUP5cdCF0Q0WioqEcItRn80+54OsUE+zlaaycZlSLm9T6ziGYsiW9df5YIAEetCNoW8Lt3PxSAsxgINIcY/AXOJPyRyhcnwm4FItriUABOpTosfrNPCg1ZyRRk/8HbmvYq0V8Jf6wYsboDm+YvV8AG/nWja/+DexPFbIMx6xj+SePf2joBIhy8iEZDQj1CsGTxrzF6Os0Oy/laaw+kBxzOzwRM9anBZ0XdDg22rNTgUF8XadQNA1rla981jyL8mc5j4gHAbgGAeUFOGXjCnNnZ4/ophksyM/3195t4R9OWnv3ZjYbrO7Z119C+cfuEy6SLNrQ5MIJwkCMabT/qEYIll3/duYPOtMN6vravLU8X+x/OR2ja/1pZS2scyqz5dKi6bzKQwtxOjapTCXMy+ZyGO07sVgBo61p9py3WN3JL9KnRFLyPXKVfOo06YeLSVAl7rXqIPE0qdDNEo+1ETSVYC/nXrS6HXqQFDCzv9awi5g0+s4h+is0NuJOxsZJWbG8KEp3EFNbuQ/TqNEJkFp/TdCsJX5wAADHAvAltqSnQYnpHYYiJTaa+gct8Y6ir1S99rqNNyl+uwoB+rn9nbpPeKybtbohG24OaSrCX8i8bt9DZZjjHam2YXgwwnL/gjhmAJX3ra8ErIcK8hCBlgkd42sfcKmV713w6YVEOj/K1qPWfGqzwHa3OD23ZT9ReVMaFZ2rBznUC3xjq6vSr/9PhJp2lNa6lMWuwiEm7G6LRNqOmEhyV/Me6DXSOCc4rtJTgzzSjyN9wfnjP4zTtseAvQIQdeewI1G7rouT5uHgjeOsnEpbm8Wnb/JaoL2hLfZ27WN9WvjNUVCdsf7rDR/ceP6WYtPshGm0bShEcNfz7qjU0xg77tVpi2x6/jZh9XwNCNLfSFHyaUhGh2MjZWwK/ZFCHKjUO4f2CNuf91DDC2kIeEaB1J+Zkqi23trpKm1IXtvU1OpUfUvaZMhKf6FiT2krUQ00VukwqdBtEo21AKQKM/PvyNXSBHdY2O3Qi4dsAc5G6VYseD1IDEerBGxYHfsnWRWtO5DnBI+l5s7mYT9kYvFhda3fOMucBHXbZckfxXUyyJTf7oY4zKf+63uufmmcYaaGrIxptLUoRYGVevIIuNsM6Ttvd5ip6VPKxW33mEK1Znh5kiK2uJ9SBlwRSZCsdqhQB5UGLtYRP2tCKUnYYW38AAfthsb4d/LB1h72stANNCpN3FG1mTak7lBrRYU0IBwjRaKtoCOIZuZTG2mEer7V577RSxLzKZxbREqCsJvaFIFX0BS/tAIcCAOLGRUcHL9VmalxLRnx7m/q5nXiyPhR+WbvOYjRO7SCT+rxfi3kB4P84v9BFEI0GpzGI5xK61AbjeC2uXTXs8p/fW9OCBK1QE4gXdoxDlSIg/0FDW8+/B6s2lvCfYNdy+KYtkQD3L7MXL+7sJTAZ3XcDRKNBaLyjOJIuN8F8uxYb9BFflDP7HrMTbUotD3KkXRFhro/A+E0FRre+Hwog8+acIEFM2oraTjACM1oZGLDF4+rijn2fDmS2pt3VGdvyPRCTdnVEo4FodOhcusoO42QteCQ6n5X4j2wPK8zxa+4L9DgRooo5wu9UrDqdeHebwi1n1BV1/KZ3HqsBzjbeIwIAzIUH4SqTJ3M0TXWySSEHnLoyolG/NHdo3WStVRdt+qrE7/YgooSf4gPtoldE2Gvjog1+C5xMvKcNDlXq+tsdRoefaEbtQ+0kvsT1DpX41+A2RidxcZBOjzaxfFunmlSOinZpRKO+aXTon3StGfX/1ALMbAamCu/7noUkiqtD3hGpz/l9ByLkg3f5DdSmTibe29ZrPxKMxvqnDH7jvbcVFU18kcc7fFvVrmraORuw3+CaHCzZ0fl90g/FpF0R0ahfmLXZdIMdNfdoQUJ5+kMpYl7Jw30v0FvgWKrd6PfZ4YQy8Ga/llRD2+xQpSYAZfUF1W16KjB8gec7tHs9pgtsRuf6bKzUd6ZJ9cwnAx+LSbscolEfuFa9Z9MNdlSF4lBgh79covQ1uWmBnj8VvNa/Q48jzmvH9XOxzFZbZdAb2vc/B9eRUH9wlQGb9nSSSZkNAJhPBD4Vk3YtRKPeuBz6M91oQc39ml8PtoIK5myfGVdM2lGFstqt//T7DncQr/Dv0COJ89vsUKUmA3nfTexnPyj/0pUafaBfoVVwwW7EZXXyPOnxwEwxaRfiYPwXdQBpdKgDVQ9p/qNvtKoev6HUjww/eqV2id9nieD/mKY6kri0fdcgG5itpuq6aYbj2vV4K5jUF/f3bkfQJubSg3yx3hNO24n0ok426VDgczFpV0E02sQqmsisfUvjTagJ0aHAZn+5RDlpRv+WJMLqCu7re1eA6t9uhwLf2wEYC9oTGa+19OkLU7vX3A/GI6H+4NgoFFZ1skmPAb4Qk3YJRKNultNkvf67b2m8A5WPa4HiJ7WCMma/MTerYExcfJ3PLEWEeHCF726s6k9c006HqqNu5wG7AdhMnRXfU80jhPdFbbs1etDveWoOb1yJ+s5dGWMeAnwlJj34EY0CwGKiuLhfB4x5yIrqEB0a8N55EFX8ne6np0mEDHCqb1GqXu13KADsLQAw845BrxgGtb+SwJRZEK6Dpd1j84P3SKg/eMmCzt4CxXwk8K2Y9CBHNIoFRMmJfw449y4nyp7SNoVSlVIErPOXS5S7Dzn9Yu/0nZ0DjvHj0J7E5vY7VA0lVJYBMJW2b1NnK5r4lfhfC6ADzO3tVC5vc/DTgwHu/ANOzEcAP4hJD2YOdY1qRKl7FvY7a6IT5U9pfic0W00xc6m/vHqEb9d8r0er64m3+XeoJYR+KIC9hTzMAMDUeROjRXoA0AFmM2BTqu3b6W1hasTYDn+v/cB+MekAIFZMetBySGt0LpEhY1Xv08dbURFiPxQBL6oDMIUqN5X7vjtE3UH4wnfUKIVQHaqOIxQVAfiATu3YM6Ce8IsGALACR5yNGx5qTw312TB3mcV6b37XqymdbdJ04HelpnRqK0L7OHQ1+idRetaml2Mqn9HmP6u1IqJ7QJQiwO8OJwBv6udXrbnKx4NE+G0fn+5jK74CMULrhwLIreLjUwFYjLXTDUFuxwwVHbAciACuao9JUdcFzjL5hHsa8Nt+MGlPQCd90oOQQ1Sjs4kyc6P/t7NNl68FJj/whe+jDA+2TFRTCAtrecB273QzKUtHOBRAQaHrv9YCv7MNHUacHgBO1aNHux6v62KL9Z5wHwP+iFeTOz2kHqBJn/Rg41DU6M9EuYUJr2xtw83ygVGKmNs8r6qmELaBzcu8080EgHt2gENVjzt4qDtQv7Wi88+AxvUEADtwul792HahWNscZO+ggnumYmlq58+TApgnJj2oOOQ0+hNRfmnGyxvbeiuyX4IO530/dRshHpzr7UpVR7CA+F/RbAAAERFJREFUe3VEPxTAPvf21dcmjdrPZ0D5oQ76EboUbIzH+n2db1InMFdG9wcPh5ZGvybKrcx5ZV17oi/7JzfwcN43BeA0Xw51gPt3jIBUH/c+JwD2moqPDZ21vuQFX25o+3FQAGCnQQ26vKNfZ3/DJduhL94vfdL5YtKDhENIo7OIymqKX1/V/lOeLVGKmH1f9hnoqeuId7VwaCXB7uwohwJAThGf4T51as5vzz2gbSfkI1L1XXh6tBE2bEBKdeeb1AYsEpMeDBwqGp1FVGmsenX5hg6sUykClrf5qdsIs5K8EysJVicPmNtBrwbVm1Bc2PjVbty/Z4TaEf/ehbkrnawPACesQF6n/5kzm4BlYtIDziGh0Y+Jyq2mNxav7OiKs5nbts9c3UH4qYBHNdOoqiJYHHxUhzkUAIqr+Ez3NtXnJ5z7maGzjtI344pzQ40wYuyyW0dbwFsi1dWdLjjmWmClmPTA0v01+h5RndPxVuSijq1WKWJuWzRSdQNhiZmPbLbPX5USaux89LwOfTsg36MrWtb5W50ANZ1Q39hke2uxdY34za2E12vquv1g0ipgrZj0ANLNNfoukRF4c24HS0opAha37ZFrCbvAtoXNEksJRjsP+7tD3w6q9g4+Pb7xqyW/rGPr980gIDrRbdAQ+r6q19Ud9UYHA7xm/5i0DIgSkx4ourNGXyeqAaZrnbHzJoO5DaNXdS7BAK5o9iaqgFBv4+M72KEAkNfsWIHD2el/y+ojQkfc8MT9DLB2n3G9m9l6deN+MGkRsFlMekDothp9ncgKfNAJDlVqCnMbt0yZwFktHFpn4xP83vrZbpSJUNU0in/ytvO/MXT+xvsI8Msd9EfdLRbrPeFjDfhBr8bvB5PmA9vFpPuf7qnRl4mMwPud4lAClrTtkYu8r5JXhYQ6K5/S8Q4FgLwivqgpur4tr9MnRtWHBK8IfKEsaFm6yWK9JzzMgF/i1R37waT7xKT7n26o0WlEduDjThnLA0hu23D+OsJPzcKOqH2EMgufEtnRLwYAykgoK/JMsRV35HXKvukBfktzf2paZmov5q4Xv7k18FGp4LTOPnQPt0mjxaT7k26oUQfwUec4VKlJzIltKH81YU4pn9UUBE/lEGosPGpBJ7wdAKC0mi/a0/jt0YnXd1ZDDagZhJZnuELpjTq71WK9J9wrDvP3qYn7waSZQJyYdL/R3TT6NNGMznLoFKANu6bUxYTVDj66KRi+MhCqzJ3oUACFhZ7fbGWVP+Z05h12AHL0PL3xD7wPRh4daoV2KOuVoVZysMKO7Vhbom7dDyZNAxLFpPuHbqXRp4k+76yxPIAk5taON9WFhARwRNNGK5X5/+3dW4xeVRmH8X+jUTBGEm4kUUkIamIgSGyEACqFC2kBKS24lkGUC4mJxoRbTbwwJiYmJhoSY8IlGkLegkYIpSegVgqWltKhZ9oOnbZ0ynRapsO002nnUC9apZ0Z2vnmXXuvfXh+l5P59n4zSZ9+e699CBo8Zdc/d5FPOcX3F9k3L3j889iBw8Xt7iz707nzsPGxxZK0+6DkuIvp7IJMgy7Cn8oGV2vTULyrhJJul3ZQ0hI0J6M/L7KhMS402z7z37cNS2z4o2Hiu0EDI/aNAhsqSQcmv470zAn3mcqZmziebFNNXGU6n723TO86/quZ+Y5si7SLkhatIRl9NIS/FNjQBzs6nJ/88XeCBkZsbuLbqCbvpT9o+IJF+Ye/e8/f+voL3ekFJs5b2nLeenqy4RmVZLuLuU5j6o6sS9pLSQvVhIw+GsKpNauL3EOX2SzXPeI7QR+cLLqhkvTeYbu9+4KfHO77mF9NL/7i+xo7Lo0neMiTpIl6P7+5asw2SPspaXFqn9FHQjj92qvFfe2KcaHZnll+dlfQ0WG7pbPbRmezo76gwfcn/XD8wOSfFGjihD3RrS9cI52R3C1t1p31VWC2TuqlpAWpd0YfCWHsPxv+ejDhK5Uu4Dmcj1uDeoft1s6u1Z+l/iGbt3PyD8v8TjdxWJJOp7kBya7tjv3fTrIp/J/ZWqmPkhahxhl9KITT699+6sDegrYfY5DWz+5wPm4N6j9h80ppqKSjk/8jiTcveHpg8opTgc4MSFJ/ukv9R5t2S2gVmK2hpEWoa0YfCuHMpu1P90z/5vdEhs32z+JjcVtQ/3G7Y2nygabf3Z7FdvuU19z3lXhEL9kTF56W9Z8gbcEqUxZma6QjlDStWmY0hjC+ec/Tuzu4oajjXcQHZnc4HzcF9R23Oya/77NAB6f71lnKM0anGJMSnUlIdH4AU5m9Ih2lpAnVL6MxBO3ssZ1pX0t34S5ikNaZdfzHiZuC+obszvIaGruDhqdZXrOhA6XNMA3/t9FxVpkKZPYyJU2oZhmNIWhPr21eX/B+PjQ72OlnYldQ35DN7/jtTC6H+m1B96V/rSSjUrL3j8ZDd6baFKYye1n6gJImUaeMxhC0/7C9tbbYvcTFszicj11Bhz4suaFxT9CHpZ4DvZQT+vTVkutm0LPs+m6NNPmW0Cowe4mSJlGbjMYQ1Dtg6/5V7F5ikF41+1Rnn1oftH/QFiwvaKqPdWTI7t5R9k4v7ozijxL9s2SxvnhmL0kDlNSpHhmNIejIkK1dVfyuBs06u5I/bgg6NGj3JX/t6AwMFHXB7OydPqw5iTbFYn0pzFZRUqcaZDSGoMGT9krhx8sxLur4RXUbgnqP2cIMDY1di23BlOucMhuTpPEPtGZugo2Nn06wEcwAJXWqekZjCBoZtRXF308Zg7S6o8P5+Pi1OnjMFq4sbqqL6S3x6vpO2FMvKckyO7eElshslXSMks5OpTMaQ9DEGXu+kPdtTPaMzDp7wrE91m3352lo7Ao6WeLTmzp168b44wT/IOPuef6NYIbMVlLS2aluRmMIkuzZZ8rY11VBmzaWsKNkjvbbA9W5zmk6p7x/T7upW2Ms1pfKbCVr97NQ0Yyea2iBj7I/b19XBf17j3292lU6T3wr6FilrnOahlmKvyerTKVj7X4WqpjRMhsqST0T9tUC74lKb+i4PVCx65zOuUG6Qkrz0FFJGiWjGbDi1KnKZbTkhsbPBrvs2Uv/XqVU8Dqnc2t0H13pGf98bYKNTqTqMTrDilNHqpXRshv6uaDXd1369yrG7t+Ue4RpjUgbEm+SO+vzYcVp5iqU0bKP5SX1jNsNVbv0sq7MzruDNtHLROxbtTlh3UiUdIYqlFGV29A4J9iVfy9td0Adma2UBinpxVUlozGEUhv6yaA3p7x1A14TSnPlPSrEbIU0GOP9uQeprkpktOSGSlLPqM3dXOoeWyPGYI9xMN4oZiukkRivzD1IReXPaAxBT5Z66XscDfbFUu6MaqlTkihpw5gtl27KPUVF5c+ontxol5f3Ty4qaH01L7psgBuky8ye41RaI5ktj3FB7imqKH9Gy2yoJO09ZbdtKXWPLbJZelOSWbmnaFAWs2Ux3pV7isrJn9EyxWPBrnku9xQNdrv0+dwzoFhmK2Kcn3uKamlRRuNwUNe23FM0VoxBKvb9LqgIs+WU9Hwtyqj2jtg8MloUDuRbhfOk52tLRmNvsOtm8955ANMyW0ZJz2pFRuNg0OatuacAmsZsWYx3554iv1ZkVHtP2vztuYcAGsjsRUra/IzGnmA3Fv4qJ6C1zF6M8Z7cU+TU8IzGQ0FbuekTKJbZ0hjvzT1FNg3PqHpO2L08ggQonNkLrS1pkzMadwW7ZWnuKVrlE9KXcs+AbMxeiPF7uafIoLEZjfuDNvNI5vLt5ob6dvtlC7+TNjaj6hmyB+v3gpBmoKStZXab9Ku2fSdtZkZjV7DvLMs9RUuZLeGOpjYzu036datK2sCMxu6gndV86RvQCmY3S7+J8b7cg5SkgRnV7kH7we7cQwCtZjZX+m2MC3MPUoamZTSuDzZ/Re4pAMjsRul3bShpozIatwTtKvV9JAAuwux66feNfx1eozKqfcfsYV4BBFSI2dekP8S4KPcgBWpORuNrwe5dmXuKlrtFGs09AyrH7CvSHxtc0oZkNL4VtJPD+ezezD0AKsrsGunxGBfnHqQQDcmo9g3YTzicB6rL7GppRyNvzWhCRuOqYItW5Z4CwCWY7ZC2Na+ktc9ofCNoL4fzQD2YbWved9LaZ1T7jtpPOZwHasNsi/ROk0pa74zGlcHCy7mnANAZs7ebVNIaZzS+GtTN4TxQS2ZvN+axijXOqPb32884nAfqymyT1N2AktY4o/bD1blHAOBitlHaW/eS1jijqJ7LpDm5Z0DNmG2Q9tW6pGQUCY1LE7lnQP2YvSHtr29JySiA/MzWSe/VtKRkFAmdkq7LPQPqyux1qbeOJSWjSIvXCGL2zNZKfbUrKRkFUCFma6T+epWUjAKoFrPV0pEalZSMAqgcs1ekgbqUlIwioWHp8twzoCHMVknHalFSMgqgosxWSkPVLykZBVBdZsukExUvKRkFUGlmS6WRKpeUjCKhcWk89wxoILPnpdOVLSkZBVADZv+UxqpZUjIKoB7M/iFNVLCkZBRAbZg9K6lqJSWjSGhY+kzuGdBwZktUsZKSUQA1U7WSklEA9VOpkpJRALVUnZKSUQB1VZGSklEANVaFkpJRAPWWvaRkFAmNSadzz4A2yltSMgqgCTKWlIwCaIhcJSWjAJojS0nJKIBGKb+kZBRA05RcUjIKoIHKLCkZBdBMpZWUjAJorHJKSkYBNFkJJSWjABqu6JKSUQDN97+S3lXExskogFYwWyJdUcSWySgS4j31qDSzJUUc2pNRAC1SREnJKIB2SV5SMgqgddKWlIwCaKOEJSWjAFoqVUnJKID2SlJSMgqg1c5eme9BRgHAhYwCgAsZBQAXMgoALmQUAFzIKBIak0ZzzwCUjYwCgAsZBQAXMgoALmQUAFzIKAC4kFEAcCGjAOBCRgHAhYwCgAsZBQAXMgoALmQUAFzIKBKaK3059wxA2cgoEjqTewAgAzIKAC5kFABcyCgAuJBRAHAho0hoPPcAQAZkFABcyCgAuJBRAHAhowDgQkaR0ETuAYAMyCgAuJBRAHAhowDgQkYBwIWMIiGWmNBGZBQAXMgoALiQUQBwIaMA4EJGAcCFjCIhVurRRmQUAFzIKAC4kFEAcCGjAOBCRgHAhYwiIVbq0UZkFABcyCgAuJBRAHAhowDgQkYBwIWMAoALGUVCXPCENiKjAOBCRgHAhYwCgAsZBQAXMgoALmQUAFzIKBIazz0AkAEZBQAXMgoALmQUAFzIKAC4kFEAcCGjAOBCRpEQT3hCG5FRAHAhowDgQkYBwIWMAoALGQUAFzIKAC5kFABcyCgAuJBRJMTl92gjMgoALmQUAFzIKAC4kFEAcCGjAOAyx8xyzwAANca3UQBwIaMA4EJGAcCFjAKACxkFABcyCgAuZBQAXMgoALiQUQBwIaMA4EJGAcCFjAKACxkFABcyCgAuZBQAXMgoALiQUQBwIaMA4EJGAcCFjAKACxkFABcyCgAuZBQAXMgoALiQUQBwIaMA4EJGAcCFjAKACxkFABcyCgAuZBQAXMgoALiQUQBwIaMA4EJGAcCFjAKACxkFABcyCgAuZBQAXMgoALiQUQBwIaMA4EJGAcCFjAKACxkFABcyCgAuZBQAXMgoALiQUQBwIaMA4EJGAcCFjAKACxkFABcyCgAuZBQAXMgoALiQUQBwIaMA4EJGAcCFjAKACxkFABcyCgAuZBQAXMgoALiQUQBwIaMA4EJGAcCFjAKACxkFABcyCgAuZBQAXMgoALiQUQBwIaMA4EJGAcCFjAKACxkFABcyCgAuZBQAXMgoALiQUQBwIaMA4EJGAcCFjAKAy38BQg+QvvLBUT8AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "('plant-01.txt', 2.0)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%run simulation_sup-fig-4C.py parameters-fig-6E_sup-fig-4C.yml" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "### Supplemental Figure 5" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dfs3a = pd.read_csv(\"data_figures/sup-fig-5-A.csv\", sep =',')\n", "ax=dfs3a.plot.scatter('totals length (m)','integral6pointSum',color='black')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Supplemental Figure 5 B**\n", "\n", "**Remark:** this is the python 3 HydroRoot version, unfortunately its generator uses random.randint() that is known to give different results with the same seed between python 2 and 3 (see for instance this __[issue](https://github.com/python/cpython/issues/53271)__). Therefore, that python 3 notebook cannot reproduce exactly the same architectures with a given seed than the architectures in Boursiac2022 where results were obtained with a python 2 version. That may explain slightly different results ." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%run simulation_sup_fig-5-B.py parameters-sup-fig-5-B.yml" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### supplemental figure 7\n", "- here the figures are from generated architectures for a given seed, see remarks below\n", "- sup. fig. 7 A:\n", " - architecture slightly different, see remarks below\n", "- sup. fig. 7 B:\n", " - for run time purpose: short subset\n", " - run time with short_subset_generated-roots-20-10-07_PR_016.csv: 10 minutes\n", " - run time with subset_generated-roots-20-10-07_PR_016.csv: at least one hour\n", "\n", "**Remark:** this is the python 3 HydroRoot version, unfortunately its generator uses random.randint() that is known to give different results with the same seed between python 2 and 3 (see for instance this __[issue](https://github.com/python/cpython/issues/53271)__). Therefore, that python 3 notebook cannot reproduce exactly the same architectures with a given seed than the architectures in Boursiac2022 where results were obtained with a python 2 version. That may explain slightly different results ." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Simulation runs: 1120\n", "#############################\n", "29.11 %%% ax = 0.7499999999999998\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "29.55 % ax = 0.49999999999999956\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "30.0 %% ax = 0.24999999999999933\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "30.36 % ax = 0.049999999999999156\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "100.0 %running time is 316.3976697921753\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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