From d15912cbd70d0c5cc22c7018f51d63aa1a6568d9 Mon Sep 17 00:00:00 2001 From: abaucher <achille.baucher@inria.fr> Date: Wed, 2 Feb 2022 12:03:46 +0100 Subject: [PATCH] Added change from TPworld3 --- TP.ipynb | 492 ------------------------------------------------------- 1 file changed, 492 deletions(-) delete mode 100644 TP.ipynb diff --git a/TP.ipynb b/TP.ipynb deleted file mode 100644 index 6c39cb36..00000000 --- a/TP.ipynb +++ /dev/null @@ -1,492 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "# Importer toutes les fonctions utiles\n", - "from pydynamo import new_system, plot_system, get_w3, plot_world_03, plot_system, plot_tabhl, var_color, compare_systems" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# TODO\n", - "- [ ] Documenter toutes les fonctions utilisées\n", - "- [ ] Ajouter les graphes dans la doc\n", - "- [ ] propriser le code world3 03\n", - "- [ ] meilleurs noms pour plot_world3, get_w3 etc.\n", - "- [ ] meilleur truc de doc/eq pour le 1 à 2\n", - "- [ ] c quoi les bails de fcaor2 différent de fcaor1\n", - "- [ ] get line\n", - "## Expliquer\n", - "- boucle rétrocation\n", - "- croissance\n", - "- dépassement\n", - "- ..." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# TP de modélisation des dynamiques du monde\n", - "Difficile de se retrouver à travers les quantités innombrables d'informations et de phénomènes supposés émerger dans un futur proche. Le but du TP est de tenter de modéliser les principales dynamiques qui régissent le monde, pour essayer d'avoir une vision plus englobante et plus précise des avenirs potentiels, probables ou souhaitables." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 0. Une première équation\n", - "Il y a aujourd'hui à la louche 8 milliards d'êtres humains sur terre, et le ce nombre est en croissance de 0.02 par an. Si ce rythme de croissance reste identique, on peut écrire un modèle très simple de cette manière:" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "def equation_pop():\n", - " # Calcule la population actuelle (.k) en fonction de sa valeur précédente (.j)\n", - " POP.k = POP.j*1.02 # World population\n", - " \n", - " # Date de début de la simulation\n", - " initial_time = 2020\n", - " \n", - " # Valeur initiale (.i) de la population\n", - " POP.i = 8e9" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Une fois les équations écrites, on crée un nouveau système avec `new_system`, on peut le simuler avec`run` et l'afficher avec `plot_system`" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 432x288 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "s = new_system(equation_pop)\n", - "s.run(80, 1)\n", - "plot_system(s)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "D'après ce modèle, la population mondiale continue de croître exponentiellement pour atteindre 15 milliards en 2050 et 45 milliards en 2100. Mais en réalité, c'est un peu plus complexe, il faut prendre en compte une infinité de phénomènes, de variables et d'interractions. Quelques modèles simples sont présentés à la fin du notebook, mais on va s'intéresser à un en particulier, qui est un peu plus élaboré et renommé." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Avec World3\n", - "Le modèle World3, originalement conçu en 1972, suit le même principe, mais avec beaucoup plus d'équations, écrites dans [ce fichier](pydynamo/world3/code_pydynamo_w3.py) et dont la documentation se trouve à [cette adresse](https://abaucher.gitlabpages.inria.fr/pydynamo/world3.html). De nombreuses études dans divers domaines, tels que l'agriculture, la pollution les resources, etc. ont conduit à l'élaboration de ce modèle. Le premier scénario est montré ci-dessous: on récupère le modèle avec `get_w3`, on le `run`, puis on peut afficher les courbes avec `plot_world_03`." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 504x1080 with 11 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "w = get_w3()\n", - "w.run(200, 1) # Simulation de 200 * 1 ans\n", - "plot_world_03(w)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 1. Scenario 1" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Ce premier scénario montre un *effondrement*, c'est à dire ici une baisse conjointe de la population et de la quantité de biens et services industriels par personne, autour de 2025. Mais attention ! Le modèle n'a pas pour objectif d'être précis, ni quantitatif, mais de montrer quels *types* de phénomènes sont susceptibles de se produire selon certaines hypothèses. Par quoi est causé cet efffondrement pour le premier scénario ?" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Pour savoir ce qui cause l'effondrement de l'output industriel, on peut observer quels sont les variables qui l'influencent dans son équation affichée avec `get_eq`, et afficher leurs courbes spécifiques avec `plot_system`." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "io.k = ic.k*(1-fcaor.k)*cuf.k/icor.k\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 432x288 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# Afficher l'équation de 'io'\n", - "print(w.get_eq('io')) \n", - "# Affichage des variables désirées, normalisé (rescale) entre 0 et 1\n", - "plot_system(w, {'io', 'ic', 'fcaor', 'cuf', 'icor'}, rescale=True) " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "*io* est calculé comme un produit de plusieurs variables. On remarque alors que *fcaor*, la fraction de capital utilisé pour obtenir des resources, explose à partir de 2020, et que cela nuit à l'output industriel total dans l'équation. Pourquoi ?" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "En observant l'équation de la variable *fcaor*, on peut voir qu'elle est calculée en fonction de *nrfr*, le ratio des resources non renouvelables disponibles. Ce calcul est effectué avec une fonction non linéaire, tabhl (voir signification [ici](https://abaucher.gitlabpages.inria.fr/pydynamo/tabhl.html)), qu'on peut afficher avec `plot_tabhl`." - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "fcaor2.k = tabhl(fcaor2t, nrfr.k, 0, 1, 0.1)\n" - ] - }, - { - "data": { - "image/png": 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M93o+8BHgS4CADwPjsy6nq5jSUM+il15h9boN5Q7FzCx3ebynsU9EfBJ4KSK+D7wN2D6HcrqE5jfDH13aVOZIzMzyl0fSaJ7Obq2kUcAGoGpbiQt7UJmZVbs82jSulzQIOAu4l6Tn1O9yKKdLGFnfh4F9ezppmFm3kEfSODMiXgWukXQ9SWP4uhzK6RIk0dhQx7wlrp4ys+qXR/XUXc0LEfFqRKwq3FaNGhvqeWxpE5s2l2VqDzOzksnyjfCRwGigr6TdSHpOAdQD/bIqpytqbKjnlQ2bePqFl9l22IByh2Nmlpssq6feB3yaZG7vcwq2NwHfybCcLmfKa43hTU4aZlbVsnwj/FLgUklHRMQ1WV23Erxl+ABqa8T8Jas5ZGrVdhQzM8ulTWOmpHMl3StpjqRfSNomh3K6jD49a9nWw4mYWTeQR9K4ElgBHAEcmS5flUM5XUpjgydkMrPql0fSaIiIH0TEk+nnh8CIHMrpUhob6lm8ah2r1no4ETOrXnkkjb9LOlpSTfo5Crg5h3K6lObhROYv9dOGmVWvzJKGpCZJq4HPAn8A1qefK4ETsiqnq/JwImbWHWTZe6ouq2tVouF1vRnSv5eThplVtbzm0zgM2DddnRkR1+dRTlfSPJzIfA8nYmZVLI/5NH4CnATMSz8nSToj63K6osaR9Ty2rImNmzaXOxQzs1zk8aRxMLBrRGwGkHQpcB/w7RzK6lIaG+p5deNmnnrhZd4yvFvX1plZlcqj9xTAoILlgTmV0eVMTntQecRbM6tWeSSNM4D7JF2SPmXMAX6UQzldzluGD6BHOpyImVk1yrx6KiL+T9JMYM900zcjYmnW5XRFvXvU8pbhA5w0zKxq5dJ7KiKWANPzuHZX19hQz11PvFDuMMzMcpFXm0a31dhQx9LV63jp5fXlDsXMLHNdJmlIOlDSo5IWSPpWG8ccJWmepIcl/aHUMRZj8ki/GW5m1Suvl/t2Ad6Zrt4eEQ90cHwtcB7wX8Ai4B5J0yNiXsExk0i67b49Il6SNDyP2DureTiReUtWs89bhpY5GjOzbOXxct9JwBXA8PTze0lf6uC0twILImJhRDSPV3V4i2M+C5wXES8BRMTybCPPxrC63gwd0NtvhptZVcrjSeM4YK+IeBlA0k+Bu4BftnPOaODZgvVFwF4tjtk+vd6dQC1wWkTclFXQWWpsqOMRj3ZrZlUojzYNAZsK1jel2zqrBzAJ2A84BrhQ0qBWA5BOkDRb0uwVK1ZkUPSWmdJQz+PL1rDBw4mYWZXJI2lcDPxb0mmSTgPuBi7q4JzngLEF62PSbYUWAdMjYkNEPAk8RpJE3iQiLoiIaRExbdiwYVtzD50yuaGO9Zs2s3DFyyUv28wsT5knjYg4BzgWeDH9HBsRP+vgtHuASZImSuoFHM2b3/O4luQpA0lDSaqrFmYXeXY8t4aZVas2k4akeklnSLpc0kdb7Pt1O+ddHhH3RsS56ec+SZe3F0REbAS+SDLD33zgjxHxsKTT02HWSfe9IGkeMAP4ekR0ybfoths2gF61NU4aZlZ12msIvxh4HLgG+IykI4CPRsSrwN7tnLdj4UranXaPjgKJiBuAG1ps+17BcgAnp58urWdtTTKcyFL3oDKz6tJe9dR2EfGtiLg2Ig4D7gVulbRNawdL+rakJmCqpNXppwlYDvw1+9C7tsaGej9pmFnVaS9p9Jb02v6I+BFwITALeFPiiIgz0ilfz4qI+vRTFxHbRETVz6XRUmNDHSuaXuX5Na+WOxQzs8y0lzSuA/Yv3BARlwBfBdocWKk7JojWuDHczKpRm0kjIr5BUh11VIvtN0VEq11d7XVOGmZWjdrtcptO2fqNEsVSVYb078WI+t484uFEzKyKFDOMyD8lfQ24CnjtbbWIeLHwIElD2rtIy+O7g8aGeub5ScPMqkgxSeMj6dcvFGwLYNsWx81JtwsYB7yULg8CngEmdibQStTYUM+dC55n/cbN9OrRZUahNzPbah0mjYgo6pd983GSLgT+kr53gaSDgA90IsaKNXlkHRs2BQuWr2HKqPpyh2Nm1mkd/vkrqaekL0v6U/r5oqSe7Zyyd3PCAIiIG4F9sgi20kxxY7iZVZliqqd+A/QEmocO+US67fg2jl8s6RTg9+n6x4DFnQmyUk0c2p9ePWo8TLqZVY1iksaeEbFLwfqtktqbie8Y4FTgLyRtHLPSbd1Oj9oadhhR5wmZzKxqFJM0NknaLiKeAJC0LW+cL+MN0l5SJ0nq3zwRU3fW2FDHLfOXExFIWUwrYmZWPsV06fk6MEPSTEm3AbeSvBXeKkn7pCPRzk/Xd2lvVNxqN3lkPS+8vJ4VTR5OxMwqXzG9p26RNAnYId30aDrSbVt+BryPdD6MiHhA0r6djrRCNb8ZPm/JaobX9ylzNGZmnVPsywOTgMnArsBHJH2yvYMj4tkWm9qszqp2zT2oHvEw6WZWBTp80pB0KsmMeVNI5rs4CLgDuKyNU56VtA8Qadfck0irqrqjgf16MmpgH3e7NbOqUMyTxpHAe4ClEXEssAswsJ3jP0fy9vhoknm+dwU+37kwK5vn1jCzalFM0nglHbhwo6R6kkmVxrZz/A4R8bGIGBERwyPi40BjFsFWqskNdTyx4mXWbei2tXRmViWKSRqzJQ0imYBpDskMfne1c/wvi9zWbTQ21LNpczKciJlZJSum91Rz1dL5km4C6iNibsvjJL2NZLiQYZIK5/GuB2qzCLZSFfag2ml0ezV7ZmZdWzFjT31Q0kCAiHgKeEbSB1o5tBcwgCQR1RV8VpO0i3RbE7bpT5+eNZ5bw8wqXjFvhJ8aEX9pXomIlWmPqmsLD4qI24DbJF0SEU9nG2Zlq60RO4x0Y7iZVb5ikkZrTyPtnbdW0lnAjsBrb7NFxP5tn1L9GkfWcdPDSz2ciJlVtGIbws+RtF36+RlJg3hbrgAeIZl06fvAU8A9nY60wjU21LNy7QaWrl5X7lDMzLZam0lD0uXp4kJgPcl0r1cB63jjLH4tbRMR/wtsiIjbIuIzQLd+yoDXG8NdRWVmlay9aqY9JI0CPgy8GziLZKhzgN4UzBfewob06xJJh5DMpdHu/OHdweSGOgDmL2li/8kjyhyNmdnWaS9pnA/cQjIX+OyC7aL1OcKb/TDtbfVVkvcz6oGvdD7UylbfpydjBvf1k4aZVbQ2k0ZEnAucK+k3EXFisReMiOvTxVUkTyiWmuweVGZW4TpsCN+ShAEg6dL0DfLm9cGSLtqK2KrOlIY6nnzew4mYWeUqdmj0LTE1IlY2r0TES8BuOZRTcRob6tkc8KiHSTezCpVH0qiRNLh5RdIQinsfpOo1vja3hquozKwy5fHL/GzgLklXkzSaHwn8KIdyKs64If3o36uW+R5OxMwqVOZJIyIukzSb5N2MAD4UEfOyLqcS1dSIHUbWMc+N4WZWofKongLoSfKUoXS5KJIOlPSopAWSvtXOcUdICknTMoi1pCanEzJFRMcHm5l1MZknDUknkQwlMhQYDvxe0peKOK8WOI9kOtkpwDGSprRyXB3JFLL/zjLuUmlsqKdp3UaeW/lKuUMxM9tieTxpHAfsFRGnRsT3gL2BzxZx3luBBRGxMCLWA1cCh7dy3A+An5IMZ1JxpqRvhnuYdDOrRHkkDQGFLyJsSrd1ZDTwbMH6onTb6xeWdgfGRsTf2g1AOkHSbEmzV6xYUVzUJbLDSI9BZWaVK4/eUxcD/5bUPAfHB4D/7exFJdUA5wCf7ujYiLgAuABg2rRpXarxYEDvHozfph/z3e3WzCpQHr2nzpE0E3hHuunYiLiviFOfA8YWrI9JtzWrA3YCZqbzUYwEpks6LCIKx8bq8iaPrHO3WzOrSJkljfQlvmZPpZ/X9kXEix1c4h5gkqSJJMniaOCjzTsjYhVJ43rzNWcCX6u0hAFJY/jf5y1j7fqN9Ovl9x7NrHJk+RtrDsl7Gc3tF83VQh2NipscHLFR0heBm4Fa4KKIeFjS6cDsiJieYaxl1dhQT6TDiew2bnDHJ5iZdRGZJY2ImJjBNW4Abmix7XttHLtfZ8srlymvTcjkpGFmlSXL6qnd29sfEfdmVValGzO4LwN693APKjOrOFlWT53dzr7AU76+RlLaGO6kYWaVJcvqKU+4tAUaG+r5y33PsXlzUFNTzGssZmbll0vXHUk7kQwF0qd5W0RclkdZlaqxoZ7L736a51a+wtgh/codjplZUTJPGpJOBfYjSRo3kIwldQfgpFGgMR1OZN6S1U4aZlYx8hhG5EjgPcDSiDgW2AUYmEM5FW2HkXVIHk7EzCpLHknjlYjYDGyUVA8s541vehvQr1cPJmzT30nDzCpKHm0asyUNAi4keeFvDXBXDuVUvMaGOh56zknDzCpHHmNPfT5dPF/STUB9RMzNupxq0DiynhseXErTug3U9Sl6riozs7LJa+Y+ACLiKSeMtjWmb4Y/tsyDF5pZZcg1aVj7GkclSWOeR7w1swrhpFFGowb2ob6PhxMxs8qR19Dob1LE0OjdjiQmN9Q7aZhZxchzaPRCHQ6N3l1Naajnj7Of9XAiZlYRutTQ6N1RY0Mda9dv4pkX1zJhaP9yh2Nm1q68xp4aDEzijWNPzcqjrEo3eWTz3BqrnTTMrMvLvCFc0vHALJIZ+L6ffj0t63KqxQ4j66jxcCJmViHy6D11ErAn8HQ6XPpuwMocyqkKfXrWMnFof3e7NbOKkEfSWBcR6wAk9Y6IR4AdciinajS6B5WZVYg8ksaidOypa4F/SPor8HQO5VSNxoZ6nlv5Cqte2VDuUMzM2pXH2FMfTBdPkzSDZFj0G7Mup5o0z63xyJLV7LXtNmWOxsysbXk0hF/evBwRt0XEdOCirMupJjuOSqYbeXixq6jMrGvLo3pqx8IVSbXAHjmUUzVG1PdhWF1vHnpuVblDMTNrV2ZJQ9K3JTUBUyWtTj9NJJMw/TWrcqrV1NEDmeukYWZdXGZJIyLOiIg64KyIqE8/dRGxTUR8O6tyqtVOowfyxIo1vPzqxnKHYmbWpiwHLJycdq+9WtLuLfdHxL1ZlVWNdh49kAiYt2Q1e05od+xHM7OyybL31MnACcDZrewLYP8My6o6O49JGsPnLlrlpGFmXVaWAxaekH59d1bX7E5G1PdhuBvDzayLy/w9DUl9gM8D7yB5wrgdOL/5LXFr286jB/Kgk4aZdWF5dLm9jKTb7S+BX6XLl7d7hgFJFZUbw82sK8tjaPSdImJKwfoMSfNyKKfqNDeGP7x4NW+d6HYNM+t68njSuFfS3s0rkvYCZudQTtXZeXTSGO4qKjPrqvJIGnsA/5L0lKSngLuAPSU9KGluWydJOlDSo5IWSPpWK/tPljRP0lxJt0gan0PsZTW8vg8j6t0YbmZdVx7VUwdu6QnpUCPnAf8FLALukTQ9Igqrte4DpkXEWkknAmcCH8ki4K7EjeFm1pVl/qQREU9HxNPAKyS9pyLZ/Nr21rwVWBARCyNiPXAlcHiL686IiLXp6t3AmKxj7wqa3wxf48ZwM+uC8hjl9jBJjwNPArcBT9Hx0OijgWcL1hel29pyXBHXrEhTxySN4Q8u8tOGmXU9ebRp/ADYG3gsIiYC7yF5MsiEpI8D04Cz2jnmBEmzJc1esWJFVkWXxG5jB9O/Vy1f+MO93PjgknKHY2b2BnkkjQ0R8QJQI6kmImaQ/JJvz3PA2IL1Mem2N5B0APBd4LCIeLWti0XEBRExLSKmDRs2bMvvoIwG9+/FtV94O6MH9eXEK+7lK1fdz6q1ntHPzLqGPJLGSkkDgFnAFZJ+AbzcwTn3AJMkTZTUCzgamF54gKTdgN+SJIzlOcTdZUwaUcefP78P/3PAJKY/sJj3/XwWtz1WWU9MZlad8kgahwNrga8ANwFPAIe2d0JEbAS+CNwMzAf+GBEPSzpd0mHpYWcBA0hG0b1f0vQ2LlcVetbW8D8HbM+1n387dX168KmL/sN3//Kg3xY3s7JSRGR7QWkisKR5rClJfYEREfFUpgUVadq0aTF7dmW/W7huwybO/vuj/O6OJxk7uB9nH7WLR8I1s9xImhMRrTYr5PGkcTWwuWB9U7rNtlKfnrV895ApXPnZvQmCo357F2fcMJ91GzaVOzQz62bySBo90nctAEiXe+VQTrez17bbcONJ+3L0nuP47ayFHParO/z2uJmVVB5JY0VBOwSSDgeez6GcbmlA7x6c8aGdufjYPVm5dgMfOO9Ozr3lcTZu2tzxyWZmnZRH0vgc8B1Jz0h6BvgmyYx+lqF37zCcv39lXw7euYFz/vEYR/zmXyxYvqbcYZlZlcu8Ify1CyfdbomIsv4mq4aG8I78be4STrn2Qdau38Q3DpzMsftMoKZG5Q7LzCpUqRvCgSRZlDthdBeHTG3g5q/syzveMpQfXD+Pj/7ubp59cW3HJ5qZbaHckoaV1vC6PvzuU9M484ipPPTcag76xe1cdc8z5PUkaWbdU2ZJQ9KH068Ts7qmbRlJHLXnWG486Z3sNLqeb17zIMdfOpvlTZ6e3cyykeWTxrfTr9dkeE3bCmOH9OMPx+/N994/hTsWPM/7fjaLv8314Idm1nlZTsL0gqS/AxNbG+IjIg5r5RzLSU2N+Mw7JrLv9sP46h/v5wt/uJebHx7F6YfvyKB+fm3GzLZOlknjEGB34HLg7Ayva53wluEDuObEffj1zCc495bH+feTL/CTI6by7h2Glzs0M6tAeYw9NSwiVrjLbdfz0HOrOPmP9/PYsjUc89ZxnHJII/175zHjr5lVslJ3uR0h6T7gYWCepDmSdsqhHNtCO40eyPQvvoP/3ndbrrznGQ78xSz+8+SL5Q7LzCpIHknjAuDkiBgfEeOAr6bbrAvo07OWbx/cyB//+20I8ZEL7uKH189j7XoPuW5mHcsjafRPZ+sDICJmAv1zKMc6Yc8JQ7jxpHfy0beO43d3PMl/nTOLf85bVu6wzKyLyyNpLJT0/yRNSD+nAAtzKMc6qX/vHvzogztz9efeRv/etRx/2WyOu+QeZjyynPUbPQCimb1ZHg3hg4HvA+8AArgd+H5EvJRpQUVyQ3hxNmzazP/e8SS/nrGA1es2MrBvTw7aaSSH7jKKvSYOoUetBw8w6y7aawjPbcDCrsJJY8us37iZ2x9fwXUPLOYf85bx8vpNDB3Qi4N3buD9U0cxbfxgD4ZoVuWcNJw0tsq6DZuY8chyrp+7hFseWca6DZsZWd+HQ6Y2cOguo9hlzEAkJxCzauOk4aTRaS+/upF/zl/GdQ8sYdZjK1i/aTNjh/TlkJ1HceguDUxpqHcCMasSThpOGpla9coG/jFvGdc9sJg7FjzPps3BtkP78/5dRnHo1AYmjagrd4hm1gklTRqShgGfBSZQMExJRHwm04KK5KSRrxdfXs9NDy3l+rmLuWvhC0TA5JF1vD+twhq/jXtbm1WaUieNf5H0mJoDbGreHhFlGf3WSaN0ljet48YHl3LdA4uZ/XTSWW7qmIG8f2oDh0wdxehBfcscoZkVo9RJ4/6I2DXTi3aCk0Z5LF75Cn+bu4Tr5y7mgUWrANhj/OAkgezcwPD6PmWO0MzaUuqk8UPgXxFxQ6YX3kpOGuX39Asvc/3cJVz3wGIeWdqEBHtP3Ib379LAe6eMZFhd73KHaGYFSp00mkiGDVkPbEg3R0TUZ1pQkZw0upYFy5u47oElXDd3MQtXvAzAtkP7s+eEIUwaMYAa98Ayy8yxb5+wVb0a3XvKSaPLiQjmL2ni9sdX8J8nX+Sep15k9ToPmmiWpYU/PnirXsZtL2nkMpmCpMOAfdPVmRFxfR7lWOWSxJRR9UwZVc9/v2s7Nm8Ompw0zDKVx4N75klD0k+APYEr0k0nSXp7RHy7ndOsm6upEQP79Sx3GGbWgTyeNA4Gdo2IzQCSLgXuA5w0zMwqXF5Dlw4qWB6YUxlmZlZieTxpnAHcJ2kGIJK2jW/lUI6ZmZVY5kkjIv5P0kySdg2Ab0bE0qzLMTOz0susekrS5PTr7kADsCj9jEq3mZlZhcvySeNk4ATg7Fb2BbB/hmWZmVkZZJY0IuKEdPGgiFhXuE+SBxoyM6sCeQwjcm9E7N7RtlKRtAJ4eitPHwo8n2E4lcD33D10t3vubvcLnbvn8RExrLUdmT1pSBoJjAb6StqNpOcUQD3QL6tytlRbN14MSbPbepW+Wvmeu4fuds/d7X4hv3vOsk3jfcCngTEk7RrNSWM18J0MyzEzszLJsk3jUuBSSUeUa8IlMzPLVx5vhO8haVDziqTB6RwbleiCcgdQBr7n7qG73XN3u1/I6Z7zaAi/LyJ2a7GtbA3hZmaWnTyeNGolvTYVm6S+gKdmMzOrAnmMPXUFcIuki9P1Y4FLcyjHzMxKLPMnjYj4KfAjoDH9/CAizsy6nCxJOlDSo5IWSHrT4IqSeku6Kt3/b0kTyhBmZoq435MlzZM0V9ItksaXI84sdXTPBccdISkkVXz3zGLuWdJR6c/6YUl/KHWMWSvi3/Y4STMk3Zf++z64HHFmRdJFkpZLeqiN/ZJ0bvr9mJvJkE4R0a0/QC3wBLAt0At4AJjS4pjPA+eny0cDV5U77pzv991Av3T5xEq+32LvOT2uDpgF3A1MK3fcJfg5TyKZ62Zwuj683HGX4J4vAE5Ml6cAT5U77k7e877A7sBDbew/GLiR5BWIvYF/d7bMzJ80JO0t6R5JayStl7RJ0uqsy8nQW4EFEbEwItYDVwKHtzjmcF6vYvsT8B5tzWztXUOH9xsRMyJibbp6N8m7N5WsmJ8xwA+AnwLrWtlXaYq5588C50XESwARsbzEMWatmHsOkheOIZnrZ3EJ48tcRMwCXmznkMOByyJxNzBIUkNnysyjIfxXwDHA40Bf4HjgvBzKycpo4NmC9UXptlaPiYiNwCpgm5JEl71i7rfQcSR/qVSyDu85fWwfGxF/K2VgOSrm57w9sL2kOyXdLenAkkWXj2Lu+TTg45IWATcAXypNaGWzpf/fO5TLzH0RsQCojYhNEXExUOn/GLslSR8HpgFnlTuWPEmqAc4BvlruWEqsB0kV1X4kf+hdWPiOVZU6BrgkIsaQVN1cnv78rUh59J5aK6kXcL+kM4El5DetbBaeA8YWrI9Jt7V2zCJJPUgea18oTXiZK+Z+kXQA8F3gXRHxaoliy0tH91wH7ATMTGsdRwLTJR0WEbNLFmW2ivk5LyKp494APCnpMZIkck9pQsxcMfd8HOkfsRFxVzoC91Cg0qvm2lLU//ctkccv80+k1/0i8DJJwEfkUE5W7gEmSZqYJrujgektjpkOfCpdPhK4NdJWpgrU4f2mA07+FjisCuq5oYN7johVETE0IiZExASSdpxKThhQ3L/ra0meMpA0lKS6amEJY8xaMff8DPAeAEmNQB9gRUmjLK3pwCfTXlR7A6siYkmnrphxS34tcEW5exRsRdwHA4+R9Lz4brrtdJJfHJD8w7oaWAD8B9i23DHnfL//BJYB96ef6eWOOe97bnHsTCq891SRP2eRVMvNAx4Eji53zCW45ynAnSQ9q+4H3lvumDt5v/9HUpuzgeTJ8Tjgc8DnCn7G56Xfjwez+HedxzAidwD7R9J7wczMqkgebRoLgTslTSepngIgIs7JoSwzMyuhPJLGE+mnhqSB0czMqkSWM/ddHhGfAFZGxC+yuq6ZmXUdmbVpSJoHHEDyIth+vD5zHwAR0d5bi2ZmVgGyrJ46H7iFZNyXObwxaUS63czMKlgevad+ExEnZnpRsyomaRhwPckge1+OiNvLHJJZmzJPGmZWvHSEgSOBAyLi+Fb210bEptJHZta6rjy8h1lFkzRB0nxJF6bzVfxdUl9JMyX9XNJs4CTgTOBwSfen+9dIOlvSA8DbynsXZm+UR5dbM3vdJOCYiPispD/y+pA6vSJiGoCkF0je1P1iut6fZEyo7jaAolUAP2mY5evJiLg/XZ4DTEiXr2rnnE3ANTnGZLbVnDTM8lU4QvAmXn+6f7mVY5utczuGdVVOGmZmVjQnDTMzK5q73JqZWdH8pGFmZkVz0jAzs6I5aVgmJH05fZHtigyu9WlJowrWfydpSmev2055vSX9M3257iN5ldNdSDpM0rc6OGaUpD+VKibLjts0LBOSHiEZCmNRi+09ImLjFl5rJvC1KNEc3encyT+MiAM6OG6L76UTMYnk/+fmnK5fsnux6uInDes0SeeTjGJ8o6SvSDpN0uWS7gQuT4fTuF3Svelnn4JzvynpQUkPSPqJpCOBacAVBcNqzJTU/Pb0MenxD0n6acF11kj6UXqduyWNaCXOIZKulTQ3PWaqpOHA74E90/K2a3HOG4b8kLSHpNskzZF0s6SG9LgvS5qXXvvKtspLt58m6WsFZTyUfo8mSHpU0mXAQ8DYlt+f9PjtJN2UxnC7pMnp9g+n13pA0qxW7n+/9PjpwDxJtZLOknRPGuN/Fxx3m6S/SlqY/lw+Juk/aSzbpccdKunfku5Ln9RGpNs/LelX6fIlks6V9K/0Wkem2ydIeqjg+D+n9/S4pDMLYj5O0mNp2Rc2X9fKqNwTo/tTHR/gKWBounwaydvPfdP1fkCfdHkSMDtdPgj4F9AvXR+Sfp1JMqwGhevAKOAZYBjJS3K3Ah9Ijwng0HT5TOCUVmL8JXBqurw/cH+6vB9wfRv3NRP4dbrcM413WLr+EeCidHkx0DtdHtRBeaeRPEk1l/EQyZviE4DNwN4dfH9uASaly3sBt6bLDwKjC2NocS/7kbxUODFdP6H5+wT0BmYDE9PjVgIN6fbngO+nx50E/DxdHszrtRXHA2eny58GfpUuXwJcTfIH6hRgQbp9AvBQwfELgYFAH+BpYGz6834KGJJ+729vvq4/5ft47CnLy/SIeCVd7gn8StKuJG9Fb59uPwC4OCLWQlETde0JzIyIFQBK2k/2Ba4F1pMMLw5JwvqvVs5/B+nYTxFxq6RtJNUXcS/NQ37sAOwE/COpPaIWWJLum0vydHRtGs/Wlvd0RNydLr/p+yNpALAPcHUaAyS/2AHuBC5RMsbVn9u4/n8i4sl0+b3A1Oa//kl+aU8i+V7eExFLACQ9Afw9PeZB4N3p8hjgqvRpqxfQfN2Wro2kmm1ea0+AqVsiYlVa3jxgPDAUuK3534Wkq3n9346ViZOG5aVwmIyvAMuAXUj+4lyXQ3kbIv2zlTcO15GF5nsR8HBEtDby7CEkCexQ4LuSdm7neht5Y9Vwn1bKaksNyZTKu7bcERGfk7RXGsscSXtExAstDiu8voAvRcTNhQdI2o83Dn+yuWB9M69/b38JnBMR09NzTmsj5sJrqYhjsv75WYbcpmGlMBBYkv61+QmSv9AB/gEcK6kfJG0A6fYmoK6V6/wHeJekoZJqgWOA27YgjtuBj6Vl7Qc8HxGrt+D8R4Fhkt6WXqOnpB0l1QBjI2IG8E2S+x3QTnlPAbun23cnqRJqzZu+P+n5T0r6cLpNknZJl7eLiH9HxPeAFSRVPO25GThRUs/0/O2VjLBbrIEkVVcAn9qC84p1D8nPe7CSeUeO6OgEy5+zuZXCr4FrJH0SuIn0r92IuCmtspotaT1wA/Adknrw8yW9QsF8EhGxRElXzhkkf7H+LSL+ugVxnAZcJGkusJYt/EUXEevTqpxzJQ0k+f/zc+Ax4PfpNgHnRsRKSW2Vdw3wSUkPA/9Oz2+tvLa+Px8DfiPpFJKqvyuBB4CzJE1KY7gl3dae35G0LdyrpK5rBfCBLfiWnEZSTfYSSftSW8lvq0TEc5J+TPLHwovAI8CqLMuwLecut2bWZUkaEBFr0ieNv5B0PPhLuePqzlw9ZWZd2WmS7ifpYfYkr3cysDLxk4aZmRXNTxpmZlY0Jw0zMyuak4aZmRXNScPMzIrmpGFmZkVz0jAzs6L9f+5kiejFHvr0AAAAAElFTkSuQmCC\n", - "text/plain": [ - "<Figure size 432x288 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "print(w.get_eq('fcaor2'))\n", - "plot_tabhl(w, 'fcaor2')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Explication du graphique: quand *nrfr* est faible, cela signifie que les resources non renouvelables sont rares, et donc plus coûteuses à extraire. Elles peuvent en effet être plus loin, plus profond, moins dense (comme le pétrole de schiste ou le cuivre), ce qui signifie que beaucoup d'énergie va être nécessaire pour l'obtenir. La part de capital à investir pour obtenir ces resources, *fcaor* va donc avoir tendance à exploser." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Comme vu sur le premier graphique, la quantité de resource non renouvelables décroit très vite. À un certain seuil, cela provoque une explosion du coût d'extraction des resources, et donc une forte baisse de la produciton industrielle. C'est à travers ce mécanisme que l'effondrement est provoqué dans ce premier scénario." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 2. Scenario 2" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Si c'est le manque de resources qui posent problème dans le premier scénario, on pourrait, avec pas mal d'optimisme (ou d'aveuglement), imaginer des solutions qui éviterait l'effondrement sans pour autant remettre en question le mode de développement et de production actuel. Que se passerait-il si il restait 2 fois plus de resources que prévu ? Changeons ce paramètre et observons ce qu'il se produit." - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "On peut changer nri: initial nonrenewable resources, qui vallait 1e+12, à 2e+12\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 504x1080 with 11 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "print(f\"On peut changer nri: {w.get_comment('nri')}, qui vallait {w.nri:.0e}, à {2*w.nri:.0e}\")\n", - "wr2 = get_w3()\n", - "wr2.nri = 2*wr2.nri\n", - "wr2.run(400, 0.5)\n", - "plot_world_03(wr2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Ça a peut-être retardé l'effondrement de quelques années, mais celui-ci est encore plus violent ... serait-ce à cause de la pollution, qui semble beaucoup plus élevée que le scénario précédent ? Observons avec `get_out_nodes` quelles variables sont impactées par la pollution, et comparons les courbes des 2 scénarios." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "{'lmp': 'lifetime multiplier from persistent pollution', 'lfdr': 'land fertility degredation rate', 'pptcm': 'persistent pollution technology change multiplier', 'ahlm': 'assimilation half life multiplier'}\n" - ] - } - ], - "source": [ - "print(w.get_out_nodes('ppolx', with_definitions=True))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "La pollution influe ainsi sur l'espérance de vie via *lmp* et dégrade la fertilité des terres via *lfdr*. On peut comparer ces valeurs avec `compare_systems` lors des 2 simulations. Et en effet, elles sont beaucoup plus impactées dans le deuxième cas (pointillés) que dans le premier." - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 432x288 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "compare_systems(w, wr2, {'ppolx', 'lfert', 'le'}, colors=var_color, rescale=True)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 3. À vous de jouer (si vous voulez hein)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Les auteur.e.s du scénario ont tenté par de multiples façons d'échaper à un effondrement, sans pour autant remettre en question le modèle de développement actuel. Progrès technologiques, changements dans la consommmation, la reproduction ... tous les moyens sont bons pour conserver leur confort matériel. Mais dans la plupart des cas, l'effondrement est inévitable à cause des multiples limites que présente la terre face à une croissance effreinée: resources, absrobtion de la pollution et terres disponibles principalement. " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "L'objectif du TP est de jouer avec le modèle pour comprendre quelles sont les principales limites dans certains secteurs, et de construire un scénario qui vous semble souhaitable ou réalisable échapant à " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# BROUILLONS" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 0. Comment modélise-t-on\n", - "Pour montrer comment ça marche, on peut partir d'un modèle très simple, censé représenter l'effondrement de la civilisation de l'Île de Paque.\n", - "## Descrittion générale\n", - "D'abbord, on tente de décrire à gros traits le système qu'on veut modéliser, les acteurs et leurs interactions. Ici, nous avons une population humaine, qui augmente en consommant des resources (bois, terres fertiles, eau ...) , qui se renouvellent naturellement à un certain rythme. \n", - "## Objectif\n", - "L'objectif est de comprendre quels phénomènes ont pu être à l'origine de la croissance et de l'effondrement de cette civilisation. \n", - "## Postulations \n", - "Il n'y aura que 2 quantités variables, qui sont la population humaine, et la quantité de resources naturelles présentes. Les humain extraient des resources pour croître, la nature se regénère à son rythme. \n", - "\n", - "Pour obtenir l'équation de la nature, on calcule la variation de nature qui se produit chaque année. La quantité $N$ de nature se regénère avec un taux de $r$ par an, à une vitesse proportionnelle à $N(N_{max}-N)$. Cette dernière valeur représente le fait que plus il y a de n ature, plus vite elle se regénère, mais jusqu'à une valeur maximale $N_{max}$ de nature que l'île peut contenir. Chaque année, les humains extraient de la nature une quantité $E$. En notant avec un *.k* la valeur d'une variable à l'étape suivante, et *.j* celle à l'étape précédente, on a donc:\n", - "\n", - "$N.k = N.j + dt(rN.j(N_{max} - N.j) - H.k)$" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "def BTmodel():\n", - " # Variables\n", - " N.k = N.j + dt*(N.j*r*(1 - N.j/K) - E.j) # Nature\n", - " H.k = H.j + dt*H.j*(b_d + F.k) # Humans\n", - " E.k = alpha*beta*H.j*N.k # Extraction\n", - " F.k = phi*E.k/H.j # Fertility\n", - " \n", - " # Constants\n", - " beta = 0.4 # Proportion of labor dedicated to harvest\n", - " r = 0.04 # Nature repoduction speed rate\n", - " b_d = -0.1 # Default birth rate minus death rate\n", - " phi = 4 # Fertility per consumption per worker\n", - " K = 12_000 # Nature maximal carrying capacity\n", - " alpha = 1e-5 # Harvest labor efficiency per resource avalability\n", - " \n", - " # Initial values\n", - " N.i = K\n", - " H.i = 50" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 432x288 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "s = new_system(BTmodel)\n", - "s.run(300, 1)\n", - "plot_system(s, {'H', 'N'})" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "print(s.get_out_nodes('ppolx', with_definitions=True))\n", - "import matplotlib.pyplot as plt\n", - "plt.figure(figsize=(10, 5))\n", - "plt.subplot(1, 2, 1)\n", - "plot_system(w, {'ppolx', 'lfert', 'le'}, rescale=True)\n", - "plt.subplot(1, 2, 2)\n", - "plot_system(wr2, {'ppolx', 'lfert', 'le'}, rescale=True)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - ", et que de nouvelles technologies étaient développées à partir de 2002 pour les extraire plus facilement ?" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## x. La boucle de l'effondrement\n", - "- déduire la résilience ?\n", - "- mathilde" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8.10" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} -- GitLab