{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Standard imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T12:42:44.346360Z",
     "start_time": "2020-02-19T12:42:43.976396Z"
    }
   },
   "outputs": [],
   "source": [
    "# Data manipulation\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "# Options for pandas\n",
    "pd.options.display.max_columns = 50\n",
    "pd.options.display.max_rows = 30\n",
    "\n",
    "from IPython import get_ipython\n",
    "ipython = get_ipython()\n",
    "\n",
    "# autoreload extension\n",
    "if 'autoreload' not in ipython.extension_manager.loaded:\n",
    "    %load_ext autoreload\n",
    "\n",
    "%autoreload 2\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import gridspec\n",
    "%matplotlib inline\n",
    "\n",
    "import time\n",
    "np.random.seed(int(time.time()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T12:41:19.978956Z",
     "start_time": "2020-02-19T12:41:19.976845Z"
    }
   },
   "source": [
    "## Specific imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:30:47.386765Z",
     "start_time": "2020-02-19T13:30:47.352628Z"
    }
   },
   "outputs": [],
   "source": [
    "from generate_timeseries import Timeseries, make_params, is_stable\n",
    "from noise_parameters import NOISE\n",
    "from noise_properties_plotting import PlotTimeseriesComparison, PlotNoiseColorComparison, \\\n",
    "    PiecewiseNormalize, noise_cmap_ww, noise_lim, example_noise_fit\n",
    "from noise_analysis import noise_color\n",
    "import os\n",
    "from scipy import stats\n",
    "\n",
    "#from scipy.optimize import curve_fit\n",
    "#from neutrality_analysis import KullbackLeibler_neutrality\n",
    "#from neutral_covariance_test import neutral_covariance_test\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Settings figures "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T12:42:46.948812Z",
     "start_time": "2020-02-19T12:42:46.632263Z"
    }
   },
   "outputs": [],
   "source": [
    "from elife_settings import set_elife_settings, ELIFE\n",
    "\n",
    "set_elife_settings()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Experimental data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:23:29.550553Z",
     "start_time": "2020-02-19T13:23:28.352572Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\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>slope_linear</th>\n",
       "      <th>std_slope_linear</th>\n",
       "      <th>pvalue</th>\n",
       "      <th>slope_spline</th>\n",
       "      <th>steady_state</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>species_1</th>\n",
       "      <td>-0.707703</td>\n",
       "      <td>0.019432</td>\n",
       "      <td>9.946906e-07</td>\n",
       "      <td>-1.226732</td>\n",
       "      <td>1262.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>species_2</th>\n",
       "      <td>-0.756404</td>\n",
       "      <td>0.019007</td>\n",
       "      <td>1.455237e-07</td>\n",
       "      <td>-0.785561</td>\n",
       "      <td>641.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>species_3</th>\n",
       "      <td>-0.771402</td>\n",
       "      <td>0.020433</td>\n",
       "      <td>2.239110e-07</td>\n",
       "      <td>-0.791151</td>\n",
       "      <td>405.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>species_5</th>\n",
       "      <td>-0.763854</td>\n",
       "      <td>0.016339</td>\n",
       "      <td>1.295882e-08</td>\n",
       "      <td>-1.550569</td>\n",
       "      <td>367.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>species_4</th>\n",
       "      <td>-1.314492</td>\n",
       "      <td>0.015137</td>\n",
       "      <td>9.822188e-21</td>\n",
       "      <td>-1.416094</td>\n",
       "      <td>358.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>species_99</th>\n",
       "      <td>-1.112867</td>\n",
       "      <td>0.019582</td>\n",
       "      <td>2.382118e-13</td>\n",
       "      <td>-1.245469</td>\n",
       "      <td>5.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>species_93</th>\n",
       "      <td>-0.493099</td>\n",
       "      <td>0.020793</td>\n",
       "      <td>7.842600e-04</td>\n",
       "      <td>-1.012660</td>\n",
       "      <td>3.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>species_60</th>\n",
       "      <td>-0.267688</td>\n",
       "      <td>0.022341</td>\n",
       "      <td>7.507418e-02</td>\n",
       "      <td>-2.207255</td>\n",
       "      <td>3.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>species_78</th>\n",
       "      <td>-1.439354</td>\n",
       "      <td>0.014124</td>\n",
       "      <td>8.929784e-25</td>\n",
       "      <td>-1.710482</td>\n",
       "      <td>0.24259</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>species_97</th>\n",
       "      <td>-0.449972</td>\n",
       "      <td>0.014803</td>\n",
       "      <td>2.921059e-04</td>\n",
       "      <td>-1.930681</td>\n",
       "      <td>0.00000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>100 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            slope_linear  std_slope_linear        pvalue  slope_spline  \\\n",
       "species_1      -0.707703          0.019432  9.946906e-07     -1.226732   \n",
       "species_2      -0.756404          0.019007  1.455237e-07     -0.785561   \n",
       "species_3      -0.771402          0.020433  2.239110e-07     -0.791151   \n",
       "species_5      -0.763854          0.016339  1.295882e-08     -1.550569   \n",
       "species_4      -1.314492          0.015137  9.822188e-21     -1.416094   \n",
       "...                  ...               ...           ...           ...   \n",
       "species_99     -1.112867          0.019582  2.382118e-13     -1.245469   \n",
       "species_93     -0.493099          0.020793  7.842600e-04     -1.012660   \n",
       "species_60     -0.267688          0.022341  7.507418e-02     -2.207255   \n",
       "species_78     -1.439354          0.014124  8.929784e-25     -1.710482   \n",
       "species_97     -0.449972          0.014803  2.921059e-04     -1.930681   \n",
       "\n",
       "            steady_state  \n",
       "species_1     1262.00000  \n",
       "species_2      641.00000  \n",
       "species_3      405.00000  \n",
       "species_5      367.00000  \n",
       "species_4      358.00000  \n",
       "...                  ...  \n",
       "species_99       5.00000  \n",
       "species_93       3.00000  \n",
       "species_60       3.00000  \n",
       "species_78       0.24259  \n",
       "species_97       0.00000  \n",
       "\n",
       "[100 rows x 5 columns]"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f = '../../Data/Faust/25_timeseries/25_timeseries.txt' # Stool A\n",
    "x = np.loadtxt(f)\n",
    "\n",
    "experimental = noise_color(x)\n",
    "experimental['steady_state'] = np.median(x, axis=1)\n",
    "\n",
    "experimental.sort_values(by='steady_state', inplace=True, ascending=False)\n",
    "experimental.astype(float, copy=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Functions noise color"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T12:43:16.954831Z",
     "start_time": "2020-02-19T12:43:16.914015Z"
    }
   },
   "outputs": [],
   "source": [
    "def noise_color_characteristics(ts, steadystate):\n",
    "    tsvals = ts.loc[:,[col.startswith('species') for col in ts.columns]].values\n",
    "    if True or np.all(np.max(np.abs(np.mean(tsvals, axis=0) - steadystate)) < 0.5 * steadystate):\n",
    "        means = np.mean(tsvals, axis=0)\n",
    "        stds = np.std(tsvals, axis=0)\n",
    "\n",
    "        KL = KullbackLeibler(ts)\n",
    "\n",
    "        ns = noise_color(ts)\n",
    "\n",
    "        color = ns['slope_linear'].values\n",
    "    else:\n",
    "        means = stds = KL = color  = np.nan\n",
    "    return means, stds, KL, color\n",
    "    \n",
    "def mean_noise_color_abundance_equal_abundances(func, steadystates):\n",
    "    # makes mean of noise color for timeseries generated with func for all sizes in steadystates \n",
    "    Nsize = len(steadystates)\n",
    "\n",
    "    for i, size in enumerate(steadystates):\n",
    "        steadystate = np.full([50,1], size)\n",
    "        \n",
    "        tss = func(steadystate)\n",
    "        \n",
    "        if i == 0:\n",
    "            Nnoise = len(tss)\n",
    "            \n",
    "            means = np.zeros([Nnoise, Nsize]) * np.nan\n",
    "            stds = np.zeros([Nnoise, Nsize]) * np.nan\n",
    "            KL = np.zeros([Nnoise, Nsize]) * np.nan\n",
    "            mean_color = np.zeros([Nnoise, Nsize]) * np.nan\n",
    "            std_color = np.zeros([Nnoise, Nsize]) * np.nan\n",
    "\n",
    "        for j, ts in enumerate(tss):\n",
    "            means_i, stds_i, KL[j][i], color = noise_color_characteristics(ts, steadystate)\n",
    "            means[j][i] = np.mean(means_i)\n",
    "            stds[j][i] = np.mean(stds_i)\n",
    "            mean_color[j][i] = np.mean(color)\n",
    "            std_color[j][i] = np.std(color)\n",
    "            \n",
    "    d = [None for i in range(Nnoise)]\n",
    "    \n",
    "    for i in range(Nnoise):\n",
    "        d[i] = pd.DataFrame(np.vstack((means[i], stds[i], KL[i], mean_color[i], std_color[i])),\n",
    "                         index=['means', 'stds', 'KL', 'mean_color', 'std_color'], columns=['%.3E' % i for i in sizes])\n",
    "    return d\n",
    "\n",
    "def mean_noise_color_abundance_different_abundances(func, steadystate):\n",
    "    Nsim = 3 #20\n",
    "      \n",
    "    Nsize = len(steadystate)\n",
    "    \n",
    "    for i in range(Nsim):\n",
    "        tss = func(steadystate)\n",
    "        \n",
    "        if i == 0:\n",
    "            Nnoise = len(tss)\n",
    "            \n",
    "            means = np.zeros([Nnoise, Nsim, Nsize]) * np.nan\n",
    "            stds = np.full(means.shape, np.nan)\n",
    "            KL = np.full(means.shape, np.nan)\n",
    "            color = np.full(means.shape, np.nan)\n",
    "        \n",
    "        for j, ts in enumerate(tss):\n",
    "            means[j][i], stds[j][i], KL[j][i], color[j][i] = noise_color_characteristics(ts, steadystate)\n",
    "                \n",
    "    means = np.mean(means, axis=1)\n",
    "    stds = np.mean(stds, axis=1)\n",
    "    mean_color = np.mean(color, axis=1)\n",
    "    std_color = np.std(color, axis=1)\n",
    "    \n",
    "    d = [None for i in range(Nnoise)]\n",
    "\n",
    "    for i in range(Nnoise):\n",
    "        d[i] = pd.DataFrame(np.vstack((means[i], stds[i], mean_color[i], std_color[i])),\n",
    "                      index = ['means', 'stds', 'mean_color', 'std_color'], \n",
    "                      columns = ['%.3E' % i for i in powerlawabundances])\n",
    "    return d"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T12:44:19.801519Z",
     "start_time": "2020-02-19T12:44:19.775659Z"
    }
   },
   "source": [
    "## Path to results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T12:44:23.919265Z",
     "start_time": "2020-02-19T12:44:23.890095Z"
    }
   },
   "outputs": [],
   "source": [
    "folder = 'results/with_interactions/'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Different implementations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T12:51:37.448740Z",
     "start_time": "2020-02-19T12:51:34.358221Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Compare Langevin implementations linear and sqrt\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 396.85x216 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Compare different linear implementations Langevin, Ricker and Arato\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 396.85x324 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "new = False\n",
    "\n",
    "N = 50\n",
    "\n",
    "steadystate = np.logspace(-0.5,2,N).reshape([N,1]) # np.random.uniform(0,10,[N,1])\n",
    "\n",
    "params = make_params(steadystate, interaction=0.01, \n",
    "                    noise=5e-1)\n",
    "\n",
    "files_ts_impl = [ folder +'timeseries_' + impl + '_interaction.csv' for impl in \n",
    "                 ['Langevin_linear', 'Langevin_sqrt', 'Langevin_linear_sqrt', \n",
    "                 'Langevin_constant', 'Ricker_linear', 'Arato_linear'] \n",
    "                ]\n",
    "\n",
    "implementations = [\n",
    "          NOISE.LANGEVIN_LINEAR, NOISE.LANGEVIN_SQRT, NOISE.LANGEVIN_LINEAR_SQRT, NOISE.LANGEVIN_CONSTANT,  \n",
    "        NOISE.RICKER_LINEAR, NOISE.ARATO_LINEAR\n",
    "        ]\n",
    "\n",
    "def create_new_timeseries_Langevin_diffimplementations(implementations):\n",
    "    timeseries = [None for i in range(len(implementations))]\n",
    "    \n",
    "    for i, implementation in enumerate(implementations):\n",
    "        timeseries[i] = Timeseries(params, noise_implementation = implementation, \n",
    "                            dt = 0.01, tskip=4, T=100.0).timeseries\n",
    "    return timeseries\n",
    "\n",
    "if new:\n",
    "    tss = create_new_timeseries_Langevin_diffimplementations(implementations)\n",
    "    \n",
    "    for f, ts in zip(files_ts_impl, tss):\n",
    "        if os.path.exists(f):\n",
    "            os.remove(f)\n",
    "        ts.to_csv(f, index=False)\n",
    "\n",
    "titles = ['Linear multiplicative', 'Sqrt multiplicative', 'Linear + sqrt multiplicative'] #, 'Langevin linear + sqrt']\n",
    "\n",
    "print(\"Compare Langevin implementations linear and sqrt\")\n",
    "\n",
    "fig = plt.figure(figsize=(ELIFE.TEXTWIDTH,3))\n",
    "\n",
    "PlotTimeseriesComparison(files_ts_impl[:3], titles = titles, composition = ['ts', 'dx'], fig=fig)\n",
    "\n",
    "fig.align_labels()\n",
    "plt.show()\n",
    "\n",
    "print(\"Compare different linear implementations Langevin, Ricker and Arato\")\n",
    "\n",
    "idces = [0, 4, 5]\n",
    "files = list(np.array(files_ts_impl)[idces])\n",
    "titles = ['Langevin linear', 'Ricker linear',  'Arato linear']\n",
    "\n",
    "fig = plt.figure(figsize=(ELIFE.TEXTWIDTH,4.5))\n",
    "\n",
    "PlotTimeseriesComparison(files, titles = titles, composition = ['ts', 'psd', 'dx'], fig=fig)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Different time lengths"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T12:51:56.268617Z",
     "start_time": "2020-02-19T12:51:56.232201Z"
    }
   },
   "outputs": [],
   "source": [
    "new = False\n",
    "\n",
    "files_ts_T = [folder + 'timeseries_Langevin_linear_timelength%d.csv' % i for i in range(1,6)]\n",
    "times = [1000.0, 500.0, 200.0, 100.0, 50.0]\n",
    "labels = ['T = 1000', 'T = 500', 'T = 200', 'T = 100', 'T = 50']\n",
    "\n",
    "def create_new_timeseries_Langevin_different_timelengths(times, steadystate):    \n",
    "    timeseries = [None for i in range(len(times))]\n",
    "    \n",
    "    for i, time in enumerate(times):\n",
    "        if time == max(times):\n",
    "            params = make_params(steadystate, interaction=0.1)\n",
    "\n",
    "            timeseries[0] = Timeseries(params, noise_implementation=NOISE.LANGEVIN_LINEAR,\n",
    "                        dt=0.01, tskip=4, T=time).timeseries\n",
    "        else:\n",
    "            ts = timeseries[0].copy()\n",
    "            timeseries[i] = ts.iloc[:int(len(ts)* time / times[0])]\n",
    "    return timeseries\n",
    "\n",
    "if new:\n",
    "    tss = create_new_timeseries_Langevin_different_timelengths(times, np.ones([50,1]))\n",
    "    for f, ts in zip(files_ts_T, tss):\n",
    "        ts.to_csv(f, index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T12:58:23.114449Z",
     "start_time": "2020-02-19T12:58:22.410651Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x252 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "new = False\n",
    "\n",
    "Nsize = 10\n",
    "sizes = np.logspace(-3, 2, Nsize)\n",
    "\n",
    "files_noise_T = [folder + 'noisecolor_Langevin_linear_timelength%d.csv' % i for i in range(1,6)]\n",
    "times = [1000.0, 500.0, 200.0, 100.0, 50.0]\n",
    "\n",
    "labels = ['1000', '500', '200', '100', '50']\n",
    "\n",
    "if new:\n",
    "    create_new_timeseries_Langevin = partial(create_new_timeseries_Langevin_different_timelengths, times)\n",
    "    d = mean_noise_color_abundance_equal_abundances(create_new_timeseries_Langevin, sizes)\n",
    "\n",
    "    for file, df in zip(files_noise_T, d):\n",
    "        df.to_csv(file)\n",
    "    \n",
    "PlotNoiseColorComparison(files_noise_T, legend_title='Time length', labels=labels)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Different timesteps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:02:23.194733Z",
     "start_time": "2020-02-19T13:02:23.159021Z"
    }
   },
   "outputs": [],
   "source": [
    "new = False\n",
    "\n",
    "files_ts_fundt = [folder + 'timeseries_Langevin_linear_dt%d.csv' % i for i in range(1, 5)]\n",
    "\n",
    "tskips = [199, 99, 19, 9]\n",
    "\n",
    "labels = ['$\\delta t$ = 0.0005', '$\\delta t$ = 0.001', '$\\delta t$ = 0.005', '$\\delta t$ = 0.01']\n",
    "\n",
    "def create_new_timeseries_Langevin_different_dt(tskips, steadystate):\n",
    "    initcond = np.random.normal(1, 0.1, [N, 1]) * np.copy(steadystate)\n",
    "\n",
    "    T = 100.0\n",
    "    \n",
    "    timeseries = [None for i in range(len(tskips))]\n",
    "    \n",
    "    for i, tskip in enumerate(tskips):\n",
    "        params = make_params(steadystate, interaction=0.1)\n",
    "        \n",
    "        timeseries[i] = Timeseries(params, noise_implementation=NOISE.LANGEVIN_LINEAR,\n",
    "                    dt=0.1 / (tskip + 1), tskip=tskip, T=T).timeseries\n",
    "    return timeseries\n",
    "\n",
    "if new:\n",
    "    tss = create_new_timeseries_Langevin_different_dt(tskips, np.ones([50,1]))\n",
    "    \n",
    "    for f, ts in zip(files_ts_fundt, tss):\n",
    "        if os.path.exists(f):\n",
    "            os.remove(f)\n",
    "        ts.to_csv(f, index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:05:15.826511Z",
     "start_time": "2020-02-19T13:05:15.284625Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x252 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "new = False\n",
    "\n",
    "Nsize = 5\n",
    "sizes = np.logspace(-3, 2, Nsize)\n",
    "\n",
    "files_noise_fundt = [folder + 'noisecolor_abundance_Langevin_dt%d.csv' % i for i in range(1,5)]\n",
    "tskips = [199, 99, 19, 9]\n",
    "\n",
    "labels = ['0.0005', '0.001', '0.005', '0.01']\n",
    "\n",
    "if new:\n",
    "    create_new_timeseries_Langevin = partial(create_new_timeseries_Langevin_different_dt, tskips)\n",
    "    d = mean_noise_color_abundance_equal_abundances(create_new_timeseries_Langevin, sizes)\n",
    "\n",
    "    for file, df in zip(files_noise_fundt, d):\n",
    "        df.to_csv(file)\n",
    "    \n",
    "PlotNoiseColorComparison(files_noise_fundt, legend_title='Fundamental timestep dt', labels=labels)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Different interaction strengths"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:05:35.414015Z",
     "start_time": "2020-02-19T13:05:32.803845Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x540 with 12 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "new = False\n",
    "\n",
    "files_ts_int = [folder + 'timeseries_Langevin_linear_interaction%d.csv' % i for i in [1,2,3,6]] \n",
    "\n",
    "interactions = [0.01, 0.05, 0.1, 0.15]\n",
    "\n",
    "labels = [r'Interaction strength $\\alpha$ = %s' % f for f in ['0.01', '0.05', '0.1', '0.15']]\n",
    "\n",
    "def create_new_timeseries_Langevin_different_interactionstrengths(interactions, steadystate):\n",
    "    timeseries = [None for i in range(len(interactions))]\n",
    "    \n",
    "    for i, interaction in enumerate(interactions):\n",
    "        params = make_params(steadystate, interaction=interaction)\n",
    "        \n",
    "        timeseries[i] = Timeseries(params, noise_implementation = NOISE.LANGEVIN_LINEAR, \n",
    "                            dt = 0.01, tskip=4, T=100.0).timeseries\n",
    "    return timeseries\n",
    "\n",
    "if new:\n",
    "    tss = create_new_timeseries_Langevin_different_interactionstrengths(interactions, np.full([50,1], 10))\n",
    "    \n",
    "    for f, ts in zip(files_ts_int, tss):\n",
    "        if os.path.exists(f):\n",
    "            os.remove(f)\n",
    "        ts.to_csv(f, index=False)\n",
    "    \n",
    "PlotTimeseriesComparison(files_ts_int, titles=labels, composition = ['ts', 'psd', 'dx'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:05:40.128114Z",
     "start_time": "2020-02-19T13:05:39.572033Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x252 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "new = False\n",
    "\n",
    "Nsize = 5\n",
    "sizes = np.logspace(-3, 2, Nsize)\n",
    "\n",
    "files_noise_int = [folder + 'noisecolor_Langevin_linear_interaction%d.csv' % i for i in [1,2,3,6]]\n",
    "interactions = [0.01, 0.05, 0.1, 0.15]\n",
    "\n",
    "labels = ['0.01', '0.05', '0.1', '0.15']\n",
    "\n",
    "if new:\n",
    "    create_new_timeseries_Langevin = partial(create_new_timeseries_Langevin_different_interactionstrengths, interactions)\n",
    "    d = mean_noise_color_abundance_equal_abundances(create_new_timeseries_Langevin, sizes)\n",
    "\n",
    "    for file, df in zip(files_noise_int, d):\n",
    "        df.to_csv(file)\n",
    "    \n",
    "PlotNoiseColorComparison(files_noise_int, legend_title=r'Interaction strength $\\alpha$', \n",
    "                         labels=labels, interaction_colors=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dependence on growth rate?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:16:44.466356Z",
     "start_time": "2020-02-19T13:16:43.636803Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x288 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "new = False\n",
    "\n",
    "N = 50\n",
    "size = 10.0\n",
    "\n",
    "alphas = [0.01, 0.05, 0.1, 0.15]\n",
    "\n",
    "steadystate = np.full([N,1], size)\n",
    "\n",
    "fig = plt.figure(figsize=(10,4))\n",
    "gs = gridspec.GridSpec(1,len(alphas))\n",
    "\n",
    "for i, alpha in enumerate(alphas):\n",
    "    ax = fig.add_subplot(gs[i])\n",
    "    ax.set_title(r'$\\alpha$ = %.2f' % alpha)\n",
    "    \n",
    "    gg = np.zeros(0)\n",
    "    \n",
    "    for j in range(20):\n",
    "        stable = False\n",
    "\n",
    "        while not stable:\n",
    "            # interaction\n",
    "            omega = np.random.normal(0, alpha, [N, N]); np.fill_diagonal(omega, -1)\n",
    "\n",
    "            # no immigration\n",
    "            mu = np.zeros([N, 1])\n",
    "\n",
    "            # growthrates determined by the steady state\n",
    "            g = - omega.dot(steadystate).reshape([N,1])\n",
    "\n",
    "            stable = is_stable(steadystate, omega)\n",
    "        \n",
    "        gg = np.append(gg, g)\n",
    "        \n",
    "    ax.hist(gg)\n",
    "\n",
    "gs_tot = gridspec.GridSpec(1,1,left=0.05, bottom=0.05, right=0.95, top=0.95)\n",
    "ax = fig.add_subplot(gs_tot[:], frameon=False)\n",
    "ax.set_xlabel('Values growth rate')\n",
    "ax.set_ylabel('Count')\n",
    "ax.tick_params(axis='both', left=False, labelleft=False, bottom=False, labelbottom=False)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:17:24.130138Z",
     "start_time": "2020-02-19T13:17:11.529944Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "new = False\n",
    "\n",
    "files_ts_growthrates = [folder + 'timeseries_Langevin_growthrate%d.csv' % i for i in range(1,6)]\n",
    "\n",
    "growthrates = [0.5, 1, 2, 10, 100]\n",
    "\n",
    "titles = ['0.5', '1', '2', '10', '100']\n",
    "\n",
    "def create_new_timeseries_different_growthrates(growthrates, steadystate_prov):\n",
    "    params = make_params(steadystate_prov, noise=1e-1)\n",
    "    \n",
    "    timseries = [None for _ in range(len(growthrates))]\n",
    "    \n",
    "    for i, growthrate in enumerate(growthrates):\n",
    "        # different growthrates determined by the steady state\n",
    "        g = np.full([N,1], growthrate)\n",
    "        params['growthrate'] = g\n",
    "        \n",
    "        # no interaction + calculate selfinteraction\n",
    "        omega = np.random.normal(0, 0.02, [N, N]); np.fill_diagonal(omega, np.random.normal(-1,0.1,N))\n",
    "        params['interaction_matrix'] = omega\n",
    "        \n",
    "        steadystate = - np.linalg.inv(omega).dot(g)\n",
    "        \n",
    "        params['initial_condition'] = np.copy(steadystate) * np.random.normal(1,0.1,steadystate.shape)\n",
    "\n",
    "        timeseries[i] = Timeseries(params, noise_implementation = NOISE.LANGEVIN_LINEAR, \n",
    "                            dt = 0.01, tskip=4, T=100.0, seed=int(time.time())).timeseries\n",
    "    return timseries\n",
    "\n",
    "if new:\n",
    "    tss = create_new_files_different_growthrates(growthrates, np.logspace(-2,1,N).reshape([150,1]))\n",
    "    \n",
    "    for f, ts in zip(files_ts_growthrates, tss):\n",
    "        if os.path.exists(f):\n",
    "            os.remove(f)\n",
    "        ts.to_csv(f, index=False) \n",
    "        \n",
    "PlotTimeseriesComparison(files_ts_growthrates, titles = titles, composition=['ts', 'nc'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:21:15.053600Z",
     "start_time": "2020-02-19T13:21:08.068293Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 396.85x216 with 7 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig_ts = plt.figure(figsize=(12,3))\n",
    "\n",
    "ax_ts1 = fig_ts.add_subplot(131)\n",
    "ax_ts2 = fig_ts.add_subplot(132)\n",
    "ax_ts3 = fig_ts.add_subplot(133)\n",
    "\n",
    "fig = plt.figure(figsize=(ELIFE.TEXTWIDTH,3))\n",
    "\n",
    "gs = gridspec.GridSpec(2, 3, hspace=0.4,wspace=0.15, top=0.95, left=0.1, bottom=0.15, right=0.95)\n",
    "gs_tot = gridspec.GridSpec(1,1, top=0.95, left=0.05, bottom=0.08, right=0.95)\n",
    "\n",
    "ax = fig.add_subplot(gs_tot[0], frameon=False)\n",
    "ax.set_ylabel('Slope power spectral density')\n",
    "ax.tick_params(axis='both', left=False, bottom=False, labelleft=False, labelbottom=False)\n",
    "\n",
    "ax_nc = fig.add_subplot(gs[0]); ax_nc2 = fig.add_subplot(gs[1]); ax_nc3 = fig.add_subplot(gs[2])\n",
    "ax_nc4 = fig.add_subplot(gs[3]); ax_nc5 = fig.add_subplot(gs[4]); ax_nc6 = fig.add_subplot(gs[5])\n",
    "\n",
    "for ax in [ax_nc, ax_nc5, ax_nc6]:\n",
    "    ax.set_xscale('symlog')\n",
    "for ax in [ax_nc2, ax_nc3, ax_nc4]:\n",
    "    ax.set_xscale('log')\n",
    "    \n",
    "vmin_g = 0; vmax_g = 0; vmin_gsi = 0; vmax_gsi = 0; vmin_gma = 0; vmax_gma = 0\n",
    "    \n",
    "for i in range(3):\n",
    "    N = 40\n",
    "    \n",
    "    steadystate = np.logspace(-3,2,N).reshape([N,1])\n",
    "    \n",
    "    selfints = np.random.uniform(0.1,3,N)\n",
    "    params = make_params(steadystate, interaction=0.05, selfint=selfints, noise=0.5)\n",
    "    \n",
    "    params['initial_condition'] = Timeseries(params, noise_implementation = NOISE.LANGEVIN_LINEAR, \n",
    "                        dt = 0.01, tskip=4, T=10.0, seed=int(time.time())).endpoint\n",
    "\n",
    "    ts = Timeseries(params, noise_implementation = NOISE.LANGEVIN_LINEAR, \n",
    "                        dt = 0.01, tskip=4, T=100.0, seed=int(time.time())).timeseries\n",
    "        \n",
    "    PlotTimeseriesComparison([ts], composition=['ts'], fig=globals()['ax_ts%d' % (i+1)])\n",
    "    nc = noise_color(ts)\n",
    "    ns = nc['slope_linear']\n",
    "    \n",
    "    g = params['growth_rate']\n",
    "    vmin_g = min(vmin_g, 10*np.min(g))\n",
    "    vmax_g = max(vmax_g, 10*np.max(g))\n",
    "    \n",
    "    ax_nc.scatter(g, ns)\n",
    "    ax_nc.errorbar(g, ns, nc['std_slope_linear'], linestyle='')\n",
    "    \n",
    "    ax_nc2.scatter(ts.drop('time', axis=1).mean(), ns)\n",
    "    ax_nc2.errorbar(ts.drop('time', axis=1).mean(), ns, nc['std_slope_linear'], linestyle='')\n",
    "    \n",
    "    ax_nc3.scatter(selfints, ns)\n",
    "    ax_nc3.errorbar(selfints, ns, nc['std_slope_linear'], linestyle='')\n",
    "\n",
    "    ax_nc4.scatter(selfints * ts.drop('time', axis=1).mean(), ns)\n",
    "    ax_nc4.errorbar(selfints * ts.drop('time', axis=1).mean(), ns, nc['std_slope_linear'], linestyle='')\n",
    "    \n",
    "    ax_nc5.scatter(g.flatten() * ts.drop('time', axis=1).mean(), ns)\n",
    "    ax_nc5.errorbar(g.flatten() * ts.drop('time', axis=1).mean(), ns, nc['std_slope_linear'], linestyle='')\n",
    "    \n",
    "    vmin_gma = min(vmin_gma, 10*np.min(g.flatten() * ts.drop('time', axis=1).mean()))\n",
    "    vmax_gma = max(vmax_gma, 10*np.max(g.flatten() * ts.drop('time', axis=1).mean()))\n",
    "    \n",
    "    ax_nc6.scatter(g.flatten() / selfints, ns)\n",
    "    ax_nc6.errorbar(g.flatten() / selfints, ns, nc['std_slope_linear'], linestyle='')\n",
    "    \n",
    "    vmin_gsi = min(vmin_gsi, 10*np.min(-g.flatten() / selfints))\n",
    "    vmax_gsi = max(vmax_gsi, 10*np.max(-g.flatten() / selfints))\n",
    "\n",
    "for ax, label in zip([ax_nc, ax_nc2, ax_nc3, ax_nc4, ax_nc5, ax_nc6],\n",
    "                     ['Growth rate', 'Mean abundance', 'Self-interaction', r'Mean abundance $\\times$ self-interaction', \n",
    "                      r'Mean abundance $\\times$ growth rate', r'Growth rate $\\div$ self-interaction']):\n",
    "    ax.set_xlabel(label, ha='right', x=1)\n",
    "\n",
    "for ax, left, right in zip([ax_nc, ax_nc2, ax_nc3, ax_nc4, ax_nc5, ax_nc6],\n",
    "                          [vmin_g, 1e-3, 1e-3, 1e-3, vmin_gma, vmin_gsi],\n",
    "                          [vmax_g, 1e3, 1e3, 1e3, vmax_gma, vmax_gsi]):\n",
    "    xx = np.linspace(0.5, -3, 500).reshape([500, 1])\n",
    "    ax.imshow(xx, cmap=noise_cmap_ww, vmin=noise_lim[0], vmax=noise_lim[1], extent=(left, right, -3, 0.5),\n",
    "             aspect='auto', alpha=0.75)\n",
    "\n",
    "ax_nc.set_xticks([-10**1, 0 , 10**1, 10**3])\n",
    "ax_nc5.set_xticks([-10**1, 0 , 10**1, 10**3, 10**5])\n",
    "ax_nc6.set_xticks([-10**1, 0 , 10**1, 10**3])\n",
    "\n",
    "for ax in [ax_nc2, ax_nc3, ax_nc5, ax_nc6]: #[ax_nc2, ax_nc4, ax_nc6]:\n",
    "    ax.tick_params(axis='both', left=True, labelleft=False)\n",
    "    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Different initial conditions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:21:39.331999Z",
     "start_time": "2020-02-19T13:21:38.466156Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x360 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "new = False\n",
    "\n",
    "files_ts_ic = [folder + 'timeseries_Langevin_linear_initcond%d.csv' % i for i in range(1, 6)]\n",
    "\n",
    "deviations = [0.01, 0.1, 0.2, 0.5, 0.75]\n",
    "\n",
    "labels = ['$\\delta$ = 0.01', '$\\delta$ = 0.1', '$\\delta$ = 0.2', \n",
    "          '$\\delta$ = 0.5', '$\\delta$ = 0.75']\n",
    "\n",
    "def create_new_timeseries_Langevin_different_initial_conditions(deviations, steadystate):\n",
    "    timeseries = [None for _ in range(len(deviations))]\n",
    "    \n",
    "    params = make_params(steadystate, interaction=0.1)\n",
    "\n",
    "    for i, deviation in enumerate(deviations):\n",
    "        params['initial_condition'] = steadystate * (1 + np.random.choice([-1,1], steadystate.shape) * deviation)\n",
    "        \n",
    "        timeseries[i] = Timeseries(params, dt = 5e-3, T=10.0, tskip = 4,\n",
    "                                    noise_implementation = NOISE.LANGEVIN_LINEAR).timeseries\n",
    "    \n",
    "    return timeseries\n",
    "\n",
    "if new:\n",
    "    tss = create_new_timeseries_Langevin_different_initial_conditions(deviations, np.full([50, 1], 10))\n",
    "    \n",
    "    for f, ts in zip(files_ts_ic, tss):\n",
    "        ts.to_csv(f, index=False)\n",
    "    \n",
    "plot_ts = PlotTimeseriesComparison(files_ts_ic[2:], composition=['ts', 'psd'], titles=labels[2:])\n",
    "plot_ts.axes['ts'][0].set_yscale('linear')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:21:49.176695Z",
     "start_time": "2020-02-19T13:21:45.778252Z"
    }
   },
   "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": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "for f in files_ts_ic:\n",
    "    x = pd.read_csv(files_ts_ic[0])\n",
    "    \n",
    "    ns = noise_color(x)\n",
    "    mean_ts = x.mean()\n",
    "    mean_ts.drop('time', inplace=True)\n",
    "    \n",
    "    l = ax.plot(mean_ts, ns['slope_linear'].values,\n",
    "                linestyle='', marker='.', markersize=2)\n",
    "    ax.scatter(np.mean(mean_ts), np.mean(ns['slope_linear'].values), label=f[2], \n",
    "               color=l[0].get_color(), s=50, marker='d')\n",
    "ax.legend()\n",
    "ax.set_xlabel('mean abundance')\n",
    "ax.set_ylabel('Slope power spectral density')\n",
    "\n",
    "ax.set_xscale('log')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Complex dynamics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:22:03.305906Z",
     "start_time": "2020-02-19T13:21:57.474459Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "new = False\n",
    "\n",
    "files_ts_complex = [folder + 'timeseries_Langevin_linear_unstable%d.csv' % i for i in range(1,6)] \n",
    "                 \n",
    "def create_new_timeseries_Langevin_complex_dynamics(steadystate):\n",
    "    np.random.seed(int(time.time()))\n",
    "    \n",
    "    params = {}\n",
    "    \n",
    "    N = len(steadystate)\n",
    "    \n",
    "    initcond = steadystate * np.random.uniform(0.5, 1.5, steadystate.shape)\n",
    "    params['initial_condition'] = initcond\n",
    "\n",
    "    params['noise_linear'] = 1e-1\n",
    "\n",
    "    oscillating = False\n",
    "\n",
    "    while not oscillating:            \n",
    "        # interaction\n",
    "        omega = np.random.normal(0, 0.15, [N, N]); np.fill_diagonal(omega, -1)\n",
    "\n",
    "        eigvals = np.linalg.eigvals(omega)\n",
    "\n",
    "        if np.any(np.real(eigvals) > 0) and np.any(np.imag(eigvals[np.real(eigvals) > 0]) > 0):\n",
    "            oscillating = True\n",
    "        \n",
    "    # growthrates determined by the steady state\n",
    "    g = - omega.dot(steadystate).reshape([N,1])\n",
    "\n",
    "    params['interaction_matrix'] = omega \n",
    "    params['growth_rate'] = g \n",
    "    params['immigration_rate'] = np.zeros(steadystate.shape)\n",
    "\n",
    "    return Timeseries(params, f = f, dt = 1e-2, tskip = 4, T=200.0,\n",
    "                noise_implementation = NOISE.LANGEVIN_LINEAR, seed=int(np.random.uniform(0,1e6))).timeseries\n",
    "\n",
    "if new:\n",
    "    for f in files_ts_complex:\n",
    "        print(f)\n",
    "        ts = create_new_timeseries_Langevin_complex_dynamics(np.ones([50,1]))\n",
    "        ts.to_csv(f, index=False)\n",
    "        \n",
    "fig = plt.figure(figsize=(15,5))\n",
    "\n",
    "PlotTimeseriesComparison(files_ts_complex[:3], composition=['ts', 'nc'], fig = fig)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:22:10.790655Z",
     "start_time": "2020-02-19T13:22:03.597225Z"
    }
   },
   "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": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "for f in files_ts_complex:\n",
    "    x = pd.read_csv(files_ts_complex[0])\n",
    "    \n",
    "    ns = noise_color(x)\n",
    "    \n",
    "    x.drop('time', axis='columns', inplace=True)\n",
    "    \n",
    "    l = ax.plot(np.mean(x.values, axis=0), ns['slope_linear'].values,\n",
    "                linestyle='', marker='.', markersize=2)\n",
    "    ax.scatter(np.mean(x.values), np.mean(ns['slope_linear'].values), label=f[2], \n",
    "               color=l[0].get_color(), s=50, marker='d')\n",
    "ax.legend()\n",
    "ax.set_xlabel('mean abundance')\n",
    "ax.set_ylabel('Slope power spectral density')\n",
    "ax.set_xscale('log')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Experimental rank abundance curve (powerlaw)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:25:57.318274Z",
     "start_time": "2020-02-19T13:25:48.755148Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x540 with 12 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "new = False\n",
    "\n",
    "files_ts_pl = [folder + 'timeseries_Langevin_linear_powerlaw_alpha%d.csv' % i for i in range(1,5)]\n",
    "                \n",
    "interactions = [0, 0.1, 0.15, 0.2]\n",
    "\n",
    "labels = [r'$\\alpha$ = 0', r'$\\alpha$ = 0.1', r'$\\alpha$ = 0.15', r'$\\alpha$ = 0.2']\n",
    "\n",
    "if new:\n",
    "    steadystate = experimental['steady_state'].values.reshape([len(experimental), 1])\n",
    "    \n",
    "    tss = create_new_timeseries_Langevin_different_interactionstrengths(interactions, steadystate)\n",
    "        \n",
    "    for f, ts in zip(files_ts_pl, tss):\n",
    "        if os.path.exists(f):\n",
    "            os.remove(f)\n",
    "        ts.to_csv(f, index=False)\n",
    "            \n",
    "plt_ts = PlotTimeseriesComparison(files_ts_pl, composition=['ts', 'psd', 'disdx'])\n",
    "for ax in plt_ts.axes['disdx']:\n",
    "    ax.set_xlim([1e-3,1e2])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:29:14.142010Z",
     "start_time": "2020-02-19T13:29:12.932167Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(6,6))\n",
    "gs = gridspec.GridSpec(2,2,wspace=0.2,hspace=0.2)\n",
    "gs_tot = gridspec.GridSpec(1,1,left=0.08, bottom=0.08)\n",
    "\n",
    "files_ts_pl = [folder + 'timeseries_Langevin_linear_powerlaw_alpha%d.csv' % i for i in range(5,9)]\n",
    "                \n",
    "titles = range(1,5)\n",
    "\n",
    "def ratio(x):\n",
    "    return np.array([x1/x2 for x1, x2 in zip(x[:-1], x[1:]) if x1 != 0 and x2 != 0])\n",
    "\n",
    "for gsi, file, title in zip(gs, files_ts_pl, titles):\n",
    "    ax = fig.add_subplot(gsi)\n",
    "    ax.set_title(title)\n",
    "    \n",
    "    df = pd.read_csv(file)\n",
    "    \n",
    "    # plot different mean abundances, first sort the species\n",
    "    sorted_idces = df.mean().sort_values().index.tolist()[::-1]\n",
    "    sorted_idces.remove('time')\n",
    "    \n",
    "    mean = df.mean()\n",
    "        \n",
    "    for i in [sorted_idces[0], sorted_idces[-1]]:\n",
    "        x = df[i].values\n",
    "        \n",
    "        x_transf = ratio(x)\n",
    "                \n",
    "        a,b,c = stats.lognorm.fit(x_transf,floc=0) #Gives the paramters of the fit \n",
    "        \n",
    "        x_fit = np.linspace(x_transf.min(),x_transf.max(),100)\n",
    "        pdf_fitted = stats.lognorm.pdf(x_fit,a,b,c) #Gives the PDF\n",
    "        \n",
    "        ax.hist(x_transf, alpha=0.5, label='%.1E' % mean[i], density=True, bins = np.linspace(0,1,30)) #20,41))\n",
    "        ax.plot(x_fit, pdf_fitted, label='%.2f'%a)\n",
    "        \n",
    "    ax.set_xlim([-1,10])\n",
    "    ax.legend() #loc=3)\n",
    "    #ax.set_yscale('log')\n",
    "    ax.grid()\n",
    "\n",
    "ax = fig.add_subplot(gs_tot[0], frameon=False)\n",
    "ax.tick_params(left=False, labelleft=False, bottom=False, labelbottom=False)\n",
    "ax.set_ylabel('Distribution')\n",
    "ax.set_xlabel('Log modulus relative timestep')\n",
    "    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:29:28.152233Z",
     "start_time": "2020-02-19T13:29:25.090056Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x540 with 12 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# again with more noise and bigger timestep\n",
    "# create_new_timeseries_Langevin_different_interactionstrengths with noise = 0.2 and dt=0.01, tskip=149, T=500\n",
    "\n",
    "files_ts_pl = [folder + 'timeseries_Langevin_linear_powerlaw_alpha%d.csv' % i for i in range(5,9)]\n",
    "\n",
    "interactions = [0, 0.1, 0.15, 0.2]\n",
    "\n",
    "titles = [r'$\\alpha$ = 0', r'$\\alpha$ = 0.1', r'$\\alpha$ = 0.15', r'$\\alpha$ = 0.2']\n",
    "\n",
    "plt_ts = PlotTimeseriesComparison(files_ts_pl, composition=['ts', 'psd', 'disdx'])\n",
    "for ax in plt_ts.axes['disdx']:\n",
    "    ax.set_xlim([1e-3,1e2])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:29:35.332473Z",
     "start_time": "2020-02-19T13:29:34.747063Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x252 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "new = False\n",
    "\n",
    "files_noise_pl = [folder + 'noisecolor_Langevin_linear_powerlaw_sigma%d.csv' % i for i in range(1,5)]\n",
    "interactions = [0, 0.1, 0.15, 0.2]\n",
    "\n",
    "labels = ['0', '0.1', '0.15', '0.2']\n",
    "\n",
    "if new:\n",
    "    create_new_timeseries_Langevin = partial(create_new_timeseries_Langevin_different_interactionstrengths, interactions)\n",
    "    steadystate = powerlawabundances.copy().reshape([len(powerlawabundances),1])\n",
    "    d = mean_noise_color_abundance_different_abundances(create_new_timeseries_Langevin, steadystate)\n",
    "\n",
    "    for file, df in zip(files_noise_pl, d):\n",
    "        df.to_csv(file)\n",
    "    \n",
    "plt_nc = PlotNoiseColorComparison(files_noise_pl, legend_title=r'Interaction strength $\\alpha$', \n",
    "                         labels=labels, interaction_colors=True)\n",
    "plt_nc.set_limits([1e-3,5e2, -3, 1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Summary interaction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:29:48.491959Z",
     "start_time": "2020-02-19T13:29:47.467332Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 396.85x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(ELIFE.TEXTWIDTH,3))\n",
    "\n",
    "gs = gridspec.GridSpec(1,2, top=0.9, bottom=0.18, left=0.1, right=0.9, wspace=0.05, hspace=0.05)\n",
    "\n",
    "ax = fig.add_subplot(gs[0])\n",
    "ax.set_title('Equal abundances')\n",
    "\n",
    "files_noise_int = [folder + 'noisecolor_Langevin_linear_interaction%d.csv' % i for i in [1,2,3,6]]\n",
    "\n",
    "labels = ['0.01', '0.05', '0.1', '0.15']\n",
    "\n",
    "PlotNoiseColorComparison(files_noise_int, labels=labels, ax = ax,\n",
    "                         legend_title=r'Interaction strength $\\alpha$', interaction_colors=True)\n",
    "\n",
    "ax.set_xlabel('')\n",
    "\n",
    "ax = fig.add_subplot(gs[1], sharex=ax, sharey=ax)\n",
    "ax.set_title('Lognormal abundances')\n",
    "\n",
    "files_noise_pl = [folder + 'noisecolor_Langevin_linear_powerlaw_sigma%d.csv' % i for i in range(1,5)]\n",
    "\n",
    "labels = ['0', '0.1', '0.15', '0.2']\n",
    "\n",
    "PlotNoiseColorComparison(files_noise_pl, labels=labels, ax=ax,\n",
    "                          legend_title=r'Interaction strength $\\alpha$', interaction_colors=True)\n",
    "ax.tick_params(axis=\"both\", labelleft=False, left=False)\n",
    "ax.set_ylabel('')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:29:51.306936Z",
     "start_time": "2020-02-19T13:29:51.269320Z"
    }
   },
   "outputs": [],
   "source": [
    "def plot_timeseries_parameters(ts, params, var='growth_rate'):\n",
    "    fig = plt.figure(figsize=(12,4))\n",
    "\n",
    "    gs = gridspec.GridSpec(2,3,wspace=0.3) #, height_ratios=[3,1])\n",
    "    ax_ra = fig.add_subplot(gs[0,0])\n",
    "    ax_ts = fig.add_subplot(gs[:,1])\n",
    "    ax_pws = fig.add_subplot(gs[:,2])\n",
    "    ax_r = fig.add_subplot(gs[1,0])\n",
    "\n",
    "    ax_ts.set_yscale('log')\n",
    "    ax_ts.set_ylabel('Abundance')\n",
    "    ax_ts.set_xlabel('Time')\n",
    "\n",
    "    ax_ra.plot(range(1,N+1), ts.values[:,1:].mean(axis=0))\n",
    "    ax_ra.set_yscale('log')\n",
    "    #ax_ra.set_xlabel('Rank')\n",
    "    ax_ra.set_ylabel('Abundance')\n",
    "    ax_ra.set_ylim([5e-4, 5e2])\n",
    "    \n",
    "    if var == 'growth_rate':\n",
    "        ax_r.plot(range(1,N+1), params['growth_rate'])\n",
    "        ax_r.set_xlabel('Rank') \n",
    "        ax_r.set_ylabel('Growth rate')\n",
    "        ax_r.axhline(y=0)\n",
    "    elif var == 'selfint':\n",
    "        ax_r.plot(range(1,N+1), np.diag(params['interaction_matrix']))\n",
    "        ax_r.set_xlabel('Rank') \n",
    "        ax_r.set_ylabel('Self-interaction')\n",
    "        ax_r.axhline(y=0)\n",
    "\n",
    "    for j in range(1, N+1, int(N/5)):\n",
    "        ax_ts.plot(ts['time'][::10], ts['species_%d'%j][::10])\n",
    "\n",
    "        example_noise_fit(ax_pws, ts['species_%d'%j])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:41:30.966629Z",
     "start_time": "2020-02-19T13:41:28.954974Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 50\n",
    "\n",
    "steadystate = experimental['steady_state'].values[:N].reshape([N,1])\n",
    "\n",
    "params = make_params(steadystate, interaction=0.1)\n",
    "\n",
    "ts = Timeseries(params, noise_implementation = NOISE.LANGEVIN_LINEAR,\n",
    "                    dt=0.01, tskip=4, T=100.0).timeseries\n",
    "\n",
    "plot_timeseries_parameters(ts, params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T13:49:40.977648Z",
     "start_time": "2020-02-19T13:49:40.945613Z"
    }
   },
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings('error', category=UserWarning)\n",
    "warnings.filterwarnings('error', category=RuntimeWarning)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T14:00:20.229191Z",
     "start_time": "2020-02-19T14:00:18.909873Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 10\n",
    "\n",
    "steadystate = experimental['steady_state'].values[:N].reshape([N,1])\n",
    "\n",
    "params = {}\n",
    "\n",
    "params['immigration_rate'] = np.zeros([N, 1])\n",
    "\n",
    "omega = np.random.normal(0,0.01,[N, N]); # np.zeros([N,N]);\n",
    "np.fill_diagonal(omega, 0)\n",
    "\n",
    "g = np.random.uniform(0.5,2,[N,1])\n",
    "params['growth_rate'] = g\n",
    "\n",
    "# diagonal terms determined by the steady state\n",
    "diag = - ((g + omega.dot(steadystate))/steadystate)\n",
    "np.fill_diagonal(omega, diag)\n",
    "params['interaction_matrix'] = omega\n",
    "params['noise_linear'] = 1e-1\n",
    "params['initial_condition'] = steadystate * np.random.normal(1, 0.01, steadystate.shape)\n",
    "\n",
    "ts = Timeseries(params, noise_implementation = NOISE.LANGEVIN_LINEAR,\n",
    "                    dt=1e-2, tskip=0, T=10.0).timeseries\n",
    "\n",
    "plot_timeseries_parameters(ts, params, var='selfint')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-19T14:00:14.801512Z",
     "start_time": "2020-02-19T14:00:13.637038Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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