From 98d5ad61e5e844e060f80e837490dee21a63fe33 Mon Sep 17 00:00:00 2001
From: abaucher <achille.baucher@inria.fr>
Date: Mon, 31 Jan 2022 15:48:05 +0100
Subject: [PATCH] Added TP, first scenario

---
 TP.ipynb | 341 +++++++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 341 insertions(+)
 create mode 100644 TP.ipynb

diff --git a/TP.ipynb b/TP.ipynb
new file mode 100644
index 00000000..463fe68b
--- /dev/null
+++ b/TP.ipynb
@@ -0,0 +1,341 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from pydynamo import new_system, plot_system, get_w3, plot_world_03, plot_system, plot_tabhl"
+   ]
+  },
+  {
+   "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. 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": 24,
+   "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": 23,
+   "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": "markdown",
+   "metadata": {},
+   "source": [
+    "# 0. Une première équation\n",
+    "Il y a aujourd'hui 9 milliards d'êtres humains sur terre, et le ce nombre est en croissance de 0.02 par an. On en déduit un modèle simpliste de l'évolution de la populatin si ce rythme de croissance reste identique."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def equation_pop():\n",
+    "    # Calcule la population en fonction de sa valeur précédente (\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 de la population\n",
+    "    POP.i = 9e9"
+   ]
+  },
+  {
+   "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": [
+    "# Avec World3\n",
+    "Le modèle World3, originalement conçu en 1972, suit le même principe, mais avec beaucoup plus d'équations, écrites [ici](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'écriture de ce modèle. Le premier scénario est montré ci-dessous."
+   ]
+  },
+  {
+   "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": [
+    "s = get_w3()\n",
+    "s.run(200, 1)\n",
+    "plot_world_03(s)"
+   ]
+  },
+  {
+   "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, et afficher leur courbe."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "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": [
+    "print(s.eqs['update']['io']['raw_line']) # Afficher l'équation de 'io'\n",
+    "plot_system(s, {'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."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "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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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "print(s.eqs['update']['fcaor2']['raw_line'])\n",
+    "plot_tabhl(s, '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": [
+    "## x. La boucle de l'effondrement\n",
+    "- déduire la résilience ?\n",
+    "- mathilde"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "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