Markov_1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Env</th>\n",
       "      <th>NS</th>\n",
       "      <th>B</th>\n",
       "      <th>D</th>\n",
       "      <th>VD</th>\n",
       "      <th>SP</th>\n",
       "      <th>GP</th>\n",
       "      <th>WP</th>\n",
       "      <th>M</th>\n",
       "      <th>BB</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>NS</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Beach</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Dune</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.20</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Veg. Dune</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.20</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Sandy platform</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.45</td>\n",
       "      <td>0.40</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Grassy platform</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.20</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Woody platform</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Marsh</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Back bay</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.3</td>\n",
       "      <td>0.70</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Env   NS    B    D   VD    SP    GP    WP    M    BB\n",
       "0               NS  0.8  0.2  0.0  0.0  0.00  0.00  0.00  0.0  0.00\n",
       "1            Beach  0.1  0.7  0.2  0.0  0.00  0.00  0.00  0.0  0.00\n",
       "2             Dune  0.0  0.2  0.5  0.1  0.20  0.00  0.00  0.0  0.00\n",
       "3        Veg. Dune  0.0  0.2  0.1  0.5  0.20  0.00  0.00  0.0  0.00\n",
       "4   Sandy platform  0.0  0.0  0.0  0.0  0.45  0.40  0.10  0.0  0.05\n",
       "5  Grassy platform  0.0  0.0  0.0  0.0  0.20  0.50  0.10  0.1  0.10\n",
       "6   Woody platform  0.0  0.0  0.0  0.0  0.15  0.00  0.80  0.0  0.05\n",
       "7            Marsh  0.0  0.0  0.0  0.0  0.10  0.05  0.05  0.7  0.10\n",
       "8         Back bay  0.0  0.0  0.0  0.0  0.00  0.00  0.00  0.3  0.70"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import pydtmc\n",
    "df = pd.read_csv('transition_matrix.csv').fillna(0)\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['NS', 'Beach', 'Dune', 'Veg. Dune', 'Sandy platform', 'Grassy platform', 'Woody platform', 'Marsh', 'Back bay']\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[0.8 , 0.2 , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.1 , 0.7 , 0.2 , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.2 , 0.5 , 0.1 , 0.2 , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.2 , 0.1 , 0.5 , 0.2 , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.45, 0.4 , 0.1 , 0.  , 0.05],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.2 , 0.5 , 0.1 , 0.1 , 0.1 ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.15, 0.  , 0.8 , 0.  , 0.05],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.1 , 0.05, 0.05, 0.7 , 0.1 ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.3 , 0.7 ]])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "env = df['Env'].tolist()\n",
    "print(env)\n",
    "tm = df.iloc[:, 1:].to_numpy()\n",
    "tm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "DISCRETE-TIME MARKOV CHAIN\n",
      " SIZE:           9\n",
      " RANK:           9\n",
      " CLASSES:        2\n",
      "  > RECURRENT:   1\n",
      "  > TRANSIENT:   1\n",
      " ERGODIC:        NO\n",
      "  > APERIODIC:   YES\n",
      "  > IRREDUCIBLE: NO\n",
      " ABSORBING:      NO\n",
      " REGULAR:        NO\n",
      " REVERSIBLE:     NO\n",
      " SYMMETRIC:      NO\n",
      "\n",
      "['NS', 'Beach', 'Dune', 'Veg. Dune']\n",
      "['Sandy platform', 'Grassy platform', 'Woody platform', 'Marsh', 'Back bay']\n"
     ]
    }
   ],
   "source": [
    "mc = pydtmc.MarkovChain(tm, env)\n",
    "print(mc)\n",
    "print(mc.transient_states)\n",
    "print(mc.recurrent_states)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "01 NS -> Beach\n",
      "02 Beach -> Dune\n",
      "03 Dune -> Sandy platform\n",
      "04 Sandy platform -> Woody platform\n",
      "05 Woody platform -> Woody platform\n",
      "06 Woody platform -> Woody platform\n",
      "07 Woody platform -> Woody platform\n",
      "08 Woody platform -> Woody platform\n",
      "09 Woody platform -> Woody platform\n",
      "10 Woody platform -> Woody platform\n",
      "11 Woody platform -> Woody platform\n",
      "12 Woody platform -> Woody platform\n",
      "13 Woody platform -> Woody platform\n",
      "14 Woody platform -> Woody platform\n",
      "15 Woody platform -> Woody platform\n",
      "16 Woody platform -> Woody platform\n",
      "17 Woody platform -> Woody platform\n",
      "18 Woody platform -> Woody platform\n",
      "19 Woody platform -> Woody platform\n",
      "20 Woody platform -> Woody platform\n"
     ]
    }
   ],
   "source": [
    "walk = ['NS']\n",
    "for i in range(1, 21):\n",
    "    current_state = walk[-1]\n",
    "    next_state = mc.next_state(current_state, seed=32)\n",
    "    print(f'{i:02} {current_state} -> {next_state}')\n",
    "    walk.append(next_state)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "pydtmc.plot_eigenvalues(mc)\n",
    "\n",
    ">>> plot_graph(mc)\n",
    ">>> plot_redistributions(mc, 10, plot_type='heatmap', dpi=300)\n",
    ">>> plot_redistributions(mc, 10, plot_type='projection', dpi=300)\n",
    ">>> plot_walk(mc, 10, plot_type='histogram', dpi=300)\n",
    ">>> plot_walk(mc, 10, plot_type='sequence', dpi=300)\n",
    ">>> plot_walk(mc, 10, plot_type='transitions', dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\csherwood\\AppData\\Local\\Continuum\\miniconda3\\envs\\CRS\\lib\\site-packages\\networkx\\drawing\\nx_pylab.py:579: MatplotlibDeprecationWarning: \n",
      "The iterable function was deprecated in Matplotlib 3.1 and will be removed in 3.3. Use np.iterable instead.\n",
      "  if not cb.iterable(width):\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pydtmc.plot_graph(mc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x1200 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pydtmc.plot_redistributions(mc, 10, plot_type='heatmap', dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pydtmc.plot_redistributions(mc, 10, plot_type='projection', dpi=300)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}