NA_PEP.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e85da6c0-78fb-4e3d-8250-b3506fdb3fdb",
   "metadata": {},
   "source": [
    "## PEP Analysis "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2fea9817-e32e-426f-8e25-28fb86db5112",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.colors import LogNorm\n",
    "import seaborn as sns\n",
    "import os\n",
    "import pmagpy.ipmag as ipmag\n",
    "import pmagpy.pmag as pmag\n",
    "import cartopy.crs as ccrs\n",
    "\n",
    "from scipy.spatial.transform import Rotation as rotation\n",
    "from scipy.optimize import minimize\n",
    "from scipy.sparse.csgraph import shortest_path, dijkstra\n",
    "\n",
    "from scripts.auxiliar import spherical2cartesian, cartesian2spherical, GCD_cartesian"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f0f92caf-a443-48e0-b004-924587cdfcba",
   "metadata": {},
   "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>ID</th>\n",
       "      <th>name</th>\n",
       "      <th>min_age</th>\n",
       "      <th>max_age</th>\n",
       "      <th>age</th>\n",
       "      <th>slat</th>\n",
       "      <th>slon</th>\n",
       "      <th>N</th>\n",
       "      <th>k</th>\n",
       "      <th>alpha95</th>\n",
       "      <th>...</th>\n",
       "      <th>Euler_lat</th>\n",
       "      <th>Euler_lon</th>\n",
       "      <th>Euler_ang</th>\n",
       "      <th>author</th>\n",
       "      <th>Q</th>\n",
       "      <th>reliability</th>\n",
       "      <th>age constraints</th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "      <th>z</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Michoacan Guanajuato volcanic ﬁeld</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.3</td>\n",
       "      <td>19.25</td>\n",
       "      <td>257.67</td>\n",
       "      <td>8</td>\n",
       "      <td>29.0</td>\n",
       "      <td>9.1</td>\n",
       "      <td>...</td>\n",
       "      <td>79.2</td>\n",
       "      <td>23.0</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Maciel Peña et al. (2009)</td>\n",
       "      <td>5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Ar-Ar ages of 82 to 612 ka (from another study)</td>\n",
       "      <td>0.919264</td>\n",
       "      <td>0.054671</td>\n",
       "      <td>0.389827</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>USGS SW North America composite</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>36.30</td>\n",
       "      <td>242.13</td>\n",
       "      <td>38</td>\n",
       "      <td>24.7</td>\n",
       "      <td>4.8</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>Mankinen (2008)</td>\n",
       "      <td>5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Brunhes normal chron</td>\n",
       "      <td>-0.166445</td>\n",
       "      <td>-0.038510</td>\n",
       "      <td>-0.985298</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Tequila volcanic ﬁelds</td>\n",
       "      <td>0.1</td>\n",
       "      <td>1.1</td>\n",
       "      <td>0.6</td>\n",
       "      <td>20.46</td>\n",
       "      <td>256.76</td>\n",
       "      <td>17</td>\n",
       "      <td>26.0</td>\n",
       "      <td>7.1</td>\n",
       "      <td>...</td>\n",
       "      <td>79.9</td>\n",
       "      <td>22.7</td>\n",
       "      <td>0.3</td>\n",
       "      <td>Ceja et al. (2006)</td>\n",
       "      <td>5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Ar/Ar ages of 0.115 to 1.13 Ma (from another s...</td>\n",
       "      <td>-0.026142</td>\n",
       "      <td>0.029794</td>\n",
       "      <td>0.999214</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Trans Mexican Volcanic Belt</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>19.40</td>\n",
       "      <td>260.10</td>\n",
       "      <td>24</td>\n",
       "      <td>47.3</td>\n",
       "      <td>4.3</td>\n",
       "      <td>...</td>\n",
       "      <td>79.9</td>\n",
       "      <td>22.7</td>\n",
       "      <td>0.3</td>\n",
       "      <td>Ruiz-Martínez et al. (2010)</td>\n",
       "      <td>5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>all Quaternary rocks (some K-Ar dated)</td>\n",
       "      <td>-0.677365</td>\n",
       "      <td>0.517281</td>\n",
       "      <td>0.523066</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Katherine Creek sediments</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.5</td>\n",
       "      <td>65.00</td>\n",
       "      <td>232.40</td>\n",
       "      <td>100</td>\n",
       "      <td>9.1</td>\n",
       "      <td>4.9</td>\n",
       "      <td>...</td>\n",
       "      <td>80.8</td>\n",
       "      <td>22.8</td>\n",
       "      <td>0.4</td>\n",
       "      <td>Barendregt et al. (1996)</td>\n",
       "      <td>3</td>\n",
       "      <td>NaN</td>\n",
       "      <td>magnetostratigraphy</td>\n",
       "      <td>-0.560750</td>\n",
       "      <td>0.043746</td>\n",
       "      <td>0.826829</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 30 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   ID                                name  min_age  max_age  age   slat  \\\n",
       "1   2  Michoacan Guanajuato volcanic ﬁeld      0.0      0.6  0.3  19.25   \n",
       "0   1     USGS SW North America composite      0.0      1.0  0.5  36.30   \n",
       "2   3              Tequila volcanic ﬁelds      0.1      1.1  0.6  20.46   \n",
       "3   4         Trans Mexican Volcanic Belt      0.0      2.0  1.0  19.40   \n",
       "4   5           Katherine Creek sediments      0.0      3.0  1.5  65.00   \n",
       "\n",
       "     slon    N     k  alpha95  ...  Euler_lat  Euler_lon  Euler_ang  \\\n",
       "1  257.67    8  29.0      9.1  ...       79.2       23.0        0.2   \n",
       "0  242.13   38  24.7      4.8  ...        0.0        0.0        0.0   \n",
       "2  256.76   17  26.0      7.1  ...       79.9       22.7        0.3   \n",
       "3  260.10   24  47.3      4.3  ...       79.9       22.7        0.3   \n",
       "4  232.40  100   9.1      4.9  ...       80.8       22.8        0.4   \n",
       "\n",
       "                        author  Q  reliability  \\\n",
       "1    Maciel Peña et al. (2009)  5          NaN   \n",
       "0              Mankinen (2008)  5          NaN   \n",
       "2           Ceja et al. (2006)  5          NaN   \n",
       "3  Ruiz-Martínez et al. (2010)  5          NaN   \n",
       "4     Barendregt et al. (1996)  3          NaN   \n",
       "\n",
       "                                     age constraints         x         y  \\\n",
       "1    Ar-Ar ages of 82 to 612 ka (from another study)  0.919264  0.054671   \n",
       "0                               Brunhes normal chron -0.166445 -0.038510   \n",
       "2  Ar/Ar ages of 0.115 to 1.13 Ma (from another s... -0.026142  0.029794   \n",
       "3             all Quaternary rocks (some K-Ar dated) -0.677365  0.517281   \n",
       "4                                magnetostratigraphy -0.560750  0.043746   \n",
       "\n",
       "          z  \n",
       "1  0.389827  \n",
       "0 -0.985298  \n",
       "2  0.999214  \n",
       "3  0.523066  \n",
       "4  0.826829  \n",
       "\n",
       "[5 rows x 30 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "current_path = os.getcwd() \n",
    "data_path_PP = current_path + \"/data/poles_NAM\"\n",
    "file_name = \"/NAM_poles_0_130.xlsx\"\n",
    "\n",
    "df_NAM = pd.read_excel(data_path_PP + file_name)\n",
    "\n",
    "# We just analize the results from the first 60Myr\n",
    "#df_NAM = df_NAM[df_NAM.age < 60]\n",
    "\n",
    "# We add the cartesian coordinates of the poles\n",
    "df_NAM[\"x\"] = df_NAM.apply(lambda row: spherical2cartesian(row.slat, row.slon)[0], axis=1)\n",
    "df_NAM[\"y\"] = df_NAM.apply(lambda row: spherical2cartesian(row.slat, row.slon)[1], axis=1)\n",
    "df_NAM[\"z\"] = df_NAM.apply(lambda row: spherical2cartesian(row.slat, row.slon)[2], axis=1)\n",
    "\n",
    "N = df_NAM.shape[0]  # number of PPs\n",
    "\n",
    "df_NAM = df_NAM.sort_values(by=\"age\")\n",
    "df_NAM.head(5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d5df561e-8706-41ff-9797-5b0f85fcf3e0",
   "metadata": {},
   "source": [
    "We can plot the PPs to see how they look like."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "750b5ca6-83c8-492d-8345-fc5a49f46915",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "map_axis = ipmag.make_orthographic_map(central_longitude=0, central_latitude=-90, figsize=(15,15))\n",
    "ipmag.plot_poles_colorbar(map_axis, df_NAM.plon, df_NAM.plat, np.zeros(df_NAM.shape[0]) ,df_NAM.age, 0, 120)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aefd8533-c4b3-4245-b692-78a41fb50055",
   "metadata": {},
   "source": [
    "### 1. Analysis based on minimizing path [Gallo et al (2021)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66549d9c-e59c-42f0-8c5b-b3bcb48fc880",
   "metadata": {},
   "source": [
    "We start by building the adjacent matrix that we will later use for estimating the optimal APW path. Each entry of `Adj_matrix` has the total cost of moving from one PP to another, where the cost is computed as the minimum of the cost function defined by the sum of the squares of the residuals of a small circle fit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "753108a9-83ed-479e-929e-85811723fbc5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2min 4s, sys: 485 ms, total: 2min 5s\n",
      "Wall time: 2min 5s\n"
     ]
    }
   ],
   "source": [
    "%%time \n",
    "\n",
    "age_min = 5.        # min age difference between change points\n",
    "n_min = 4           # min number of poles in a single segment\n",
    "\n",
    "min_apical = 30     # min apical angle\n",
    "n_initials = 2      # number of iterations\n",
    "\n",
    "Adj_matrix = np.full((N, N), np.inf)\n",
    "EPs = np.full((N, N, 3), np.nan, dtype=object)\n",
    "Apicals = np.full((N, N), np.nan)\n",
    "Res = {}\n",
    "\n",
    "for i in range(N):\n",
    "    \n",
    "    for j in range(i+n_min, N):   \n",
    "                \n",
    "        if df_NAM.loc[j,\"age\"] < df_NAM.loc[i,\"age\"] + age_min:\n",
    "            continue\n",
    "            \n",
    "        # We need to define the loss function from zero since it has the PP inside the function        \n",
    "        X = df_NAM[i:j+1][['x', 'y', 'z']].to_numpy()                       \n",
    "             \n",
    "        def loss (v):\n",
    "            theta, phi, varphi = v[0], v[1], v[2]                   \n",
    "            res = 0\n",
    "            pole = spherical2cartesian(theta, phi)\n",
    "            for k in range(X.shape[0]):\n",
    "                res += ( np.arccos( np.dot( X[k,:], pole)) - varphi ) ** 2        \n",
    "            return res\n",
    "        \n",
    "        \n",
    "        best = np.inf        \n",
    "        for _ in range(n_initials): \n",
    "                \n",
    "            initialGuess = [np.random.uniform(-np.pi/2, np.pi/2), np.random.uniform(0, 2 * np.pi), np.random.uniform(min_apical * (np.pi/180), np.pi / 2)] #set up random initial guess        \n",
    "            optimum_tmp = minimize(loss, x0 = np.array(initialGuess), method = \"CG\", options = {'gtol': 1E-10})\n",
    "                        \n",
    "            if optimum_tmp.fun < best and optimum_tmp.x[-1] > min_apical * (np.pi/180): \n",
    "                optimum = optimum_tmp\n",
    "                best = optimum_tmp.fun\n",
    "                \n",
    "        if best < np.inf:      \n",
    "            Adj_matrix[i,j] = optimum.fun\n",
    "            EPs[i,j,:] = spherical2cartesian(optimum.x[0], optimum.x[1])\n",
    "            Apicals[i,j] = optimum.x[2] \n",
    "            Res[(i,j)] = {\"EP_cartesian\": EPs[i,j,:], \"apical\": Apicals[i,j], \"EP_polar\": [optimum.x[0], optimum.x[1]]}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "bbb8085e-c97b-41f8-9f7d-707dfa0d48e8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x1008 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Adj_matrix_df = pd.DataFrame(Adj_matrix.transpose())\n",
    "sns.set(rc={'figure.figsize':(16,14)})\n",
    "\n",
    "sns.heatmap(Adj_matrix_df, cmap=\"YlGnBu\", robust=True, norm=LogNorm(), xticklabels=df_NAM.age, yticklabels=df_NAM.age).invert_yaxis()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b55f3fa8-6a4b-40ca-bfa9-1ca4948e9f46",
   "metadata": {},
   "source": [
    "Now we search for the optimal path using Dijkstra algorithm for differnt values of the regularization parameter lambda. For each lambda, we are going to obtain a different number of segments and changepoints that we can store and then compare to see if we can define the optimal number of paths and its respective segments. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7de4ee9d-f16a-4766-979b-0cffeea3dd00",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_changepoints(Adj_matrix, reg = 0.0001):\n",
    "    '''\n",
    "    Given the Adjacency matrix and the regularization parameter, returns a list with changepoints along with the distance matrix\n",
    "    '''    \n",
    "    \n",
    "    Adj_matrix_reg = Adj_matrix + reg\n",
    "    \n",
    "    dist_matrix, predecesors = shortest_path(Adj_matrix_reg, \n",
    "                                             return_predecessors = True)\n",
    "    \n",
    "    res = []\n",
    "    x = predecesors[0, -1]\n",
    "    \n",
    "    while x != 0:\n",
    "        \n",
    "        res.append(x)\n",
    "        x = predecesors[0, x]\n",
    "        \n",
    "    return list(reversed(res)), dist_matrix[0,-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ab682968-1886-492c-8e3a-caa1d1d01ef8",
   "metadata": {},
   "outputs": [],
   "source": [
    "N_lamb = 1000\n",
    "\n",
    "all_lamb_log = np.linspace(-1, 1, N_lamb)\n",
    "all_lamb = 10 ** all_lamb_log\n",
    "\n",
    "all_cost, all_nsegments = [], []\n",
    "AICs = []\n",
    "BICs = []\n",
    "\n",
    "Tree = np.full((N, N_lamb), 0)\n",
    "Tree_lamb = []\n",
    "Tree_age = []\n",
    "\n",
    "for i, lamb in enumerate(all_lamb):    \n",
    "    \n",
    "    \n",
    "    changepoints, total_cost = get_changepoints(Adj_matrix, reg=lamb)\n",
    "    #print(changepoints)\n",
    "    \n",
    "    for x in changepoints:\n",
    "        Tree[x, i] = 1\n",
    "        Tree_lamb.append(np.log10(lamb))\n",
    "        Tree_age.append(df_NAM.age[x])\n",
    "    \n",
    "    loss_reg = lamb * (len(changepoints) + 1) \n",
    "    #loss_reg = lamb * len(changepoints)\n",
    "    cost_SQ = total_cost - loss_reg \n",
    "    \n",
    "    degree_freedom = 3 * (len(changepoints)+1) + len(changepoints)\n",
    "    \n",
    "    all_nsegments.append(len(changepoints)+1)\n",
    "    all_cost.append(total_cost)\n",
    "    \n",
    "    # Alkaline Information Criterion\n",
    "    AIC = 2*degree_freedom + N * np.log(cost_SQ)\n",
    "    # corrected AIC\n",
    "    #AICc = AIC + ( 2*(degree_freedom**2) + 2*degree_freedom ) / (N - degree_freedom - 1)    \n",
    "    \n",
    "    AICs.append(AIC)\n",
    "    \n",
    "    # Bayesian Information Criterion \n",
    "    BIC = degree_freedom * np.log(N) + N * np.log(cost_SQ)\n",
    "    BICs.append(BIC)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a9196faf-848a-4318-bfbf-bae03bb440e5",
   "metadata": {},
   "source": [
    "We can plot the location of the different changepoints for different values of lambda. This will give us a cascade of where to locate the changepoints for each lambda and how they increase and we increase the model complexity. Smaller values of lambda are associated to a larger model complexity, ie, more parameters. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "199516b1-4785-4a60-90d0-9dd3b7dd9666",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x1008 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set_style(\"white\")\n",
    "plt.hlines(y=df_NAM.age.values, xmin=all_lamb_log[0], xmax=all_lamb_log[-1], color='g', linestyle='--', alpha=.3)\n",
    "sns.scatterplot(x=Tree_lamb, y=Tree_age, s=100, alpha=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "6e1d8313-13ce-4856-80ca-4a0fcc4c85c0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x1008 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(all_lamb_log, AICs)\n",
    "all_nsegments[ np.argmin(AICs) ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "c76701d1-b488-4868-bff1-1863ea4e79d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fcbd5fe4730>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x1008 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(all_nsegments, AICs / np.max(AICs), 'o-', label=\"AIC\")\n",
    "plt.plot(all_nsegments, BICs / np.max(BICs), 'o-', label=\"BIC\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "c03e720d-34eb-4cc8-a322-f8766425b016",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x1008 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(1, 1, 1)\n",
    "plt.scatter(all_nsegments,all_cost,c=all_lamb, norm=LogNorm())\n",
    "plt.ylabel('$Total Cost$', size = 12)\n",
    "plt.xlabel('$m$ (number of segments)', size = 12)\n",
    "#plt.yscale('log')\n",
    "plt.colorbar(label = '$\\lambda$')\n",
    "plt.savefig('elbow.pdf', dpi =600)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a9d1399f-9997-4eb3-9bff-c3dcb0c3feb5",
   "metadata": {},
   "source": [
    "### 2. [Ongoing] Fitting one single rotation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "id": "ee4ba66b-8663-4e3a-a840-9a4eb6c4a82b",
   "metadata": {},
   "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>ID</th>\n",
       "      <th>name</th>\n",
       "      <th>min_age</th>\n",
       "      <th>max_age</th>\n",
       "      <th>age</th>\n",
       "      <th>slat</th>\n",
       "      <th>slon</th>\n",
       "      <th>N</th>\n",
       "      <th>k</th>\n",
       "      <th>alpha95</th>\n",
       "      <th>...</th>\n",
       "      <th>Euler_lat</th>\n",
       "      <th>Euler_lon</th>\n",
       "      <th>Euler_ang</th>\n",
       "      <th>author</th>\n",
       "      <th>Q</th>\n",
       "      <th>reliability</th>\n",
       "      <th>age constraints</th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "      <th>z</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Michoacan Guanajuato volcanic ﬁeld</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.3</td>\n",
       "      <td>19.25</td>\n",
       "      <td>257.67</td>\n",
       "      <td>8</td>\n",
       "      <td>29.0</td>\n",
       "      <td>9.1</td>\n",
       "      <td>...</td>\n",
       "      <td>79.2</td>\n",
       "      <td>23.0</td>\n",
       "      <td>0.2</td>\n",
       "      <td>Maciel Peña et al. (2009)</td>\n",
       "      <td>5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Ar-Ar ages of 82 to 612 ka (from another study)</td>\n",
       "      <td>0.919264</td>\n",
       "      <td>0.054671</td>\n",
       "      <td>0.389827</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>USGS SW North America composite</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>36.30</td>\n",
       "      <td>242.13</td>\n",
       "      <td>38</td>\n",
       "      <td>24.7</td>\n",
       "      <td>4.8</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>Mankinen (2008)</td>\n",
       "      <td>5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Brunhes normal chron</td>\n",
       "      <td>-0.166445</td>\n",
       "      <td>-0.038510</td>\n",
       "      <td>-0.985298</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Tequila volcanic ﬁelds</td>\n",
       "      <td>0.1</td>\n",
       "      <td>1.1</td>\n",
       "      <td>0.6</td>\n",
       "      <td>20.46</td>\n",
       "      <td>256.76</td>\n",
       "      <td>17</td>\n",
       "      <td>26.0</td>\n",
       "      <td>7.1</td>\n",
       "      <td>...</td>\n",
       "      <td>79.9</td>\n",
       "      <td>22.7</td>\n",
       "      <td>0.3</td>\n",
       "      <td>Ceja et al. (2006)</td>\n",
       "      <td>5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Ar/Ar ages of 0.115 to 1.13 Ma (from another s...</td>\n",
       "      <td>-0.026142</td>\n",
       "      <td>0.029794</td>\n",
       "      <td>0.999214</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Trans Mexican Volcanic Belt</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>19.40</td>\n",
       "      <td>260.10</td>\n",
       "      <td>24</td>\n",
       "      <td>47.3</td>\n",
       "      <td>4.3</td>\n",
       "      <td>...</td>\n",
       "      <td>79.9</td>\n",
       "      <td>22.7</td>\n",
       "      <td>0.3</td>\n",
       "      <td>Ruiz-Martínez et al. (2010)</td>\n",
       "      <td>5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>all Quaternary rocks (some K-Ar dated)</td>\n",
       "      <td>-0.677365</td>\n",
       "      <td>0.517281</td>\n",
       "      <td>0.523066</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Katherine Creek sediments</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.5</td>\n",
       "      <td>65.00</td>\n",
       "      <td>232.40</td>\n",
       "      <td>100</td>\n",
       "      <td>9.1</td>\n",
       "      <td>4.9</td>\n",
       "      <td>...</td>\n",
       "      <td>80.8</td>\n",
       "      <td>22.8</td>\n",
       "      <td>0.4</td>\n",
       "      <td>Barendregt et al. (1996)</td>\n",
       "      <td>3</td>\n",
       "      <td>NaN</td>\n",
       "      <td>magnetostratigraphy</td>\n",
       "      <td>-0.560750</td>\n",
       "      <td>0.043746</td>\n",
       "      <td>0.826829</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 30 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   ID                                name  min_age  max_age  age   slat  \\\n",
       "1   2  Michoacan Guanajuato volcanic ﬁeld      0.0      0.6  0.3  19.25   \n",
       "0   1     USGS SW North America composite      0.0      1.0  0.5  36.30   \n",
       "2   3              Tequila volcanic ﬁelds      0.1      1.1  0.6  20.46   \n",
       "3   4         Trans Mexican Volcanic Belt      0.0      2.0  1.0  19.40   \n",
       "4   5           Katherine Creek sediments      0.0      3.0  1.5  65.00   \n",
       "\n",
       "     slon    N     k  alpha95  ...  Euler_lat  Euler_lon  Euler_ang  \\\n",
       "1  257.67    8  29.0      9.1  ...       79.2       23.0        0.2   \n",
       "0  242.13   38  24.7      4.8  ...        0.0        0.0        0.0   \n",
       "2  256.76   17  26.0      7.1  ...       79.9       22.7        0.3   \n",
       "3  260.10   24  47.3      4.3  ...       79.9       22.7        0.3   \n",
       "4  232.40  100   9.1      4.9  ...       80.8       22.8        0.4   \n",
       "\n",
       "                        author  Q  reliability  \\\n",
       "1    Maciel Peña et al. (2009)  5          NaN   \n",
       "0              Mankinen (2008)  5          NaN   \n",
       "2           Ceja et al. (2006)  5          NaN   \n",
       "3  Ruiz-Martínez et al. (2010)  5          NaN   \n",
       "4     Barendregt et al. (1996)  3          NaN   \n",
       "\n",
       "                                     age constraints         x         y  \\\n",
       "1    Ar-Ar ages of 82 to 612 ka (from another study)  0.919264  0.054671   \n",
       "0                               Brunhes normal chron -0.166445 -0.038510   \n",
       "2  Ar/Ar ages of 0.115 to 1.13 Ma (from another s... -0.026142  0.029794   \n",
       "3             all Quaternary rocks (some K-Ar dated) -0.677365  0.517281   \n",
       "4                                magnetostratigraphy -0.560750  0.043746   \n",
       "\n",
       "          z  \n",
       "1  0.389827  \n",
       "0 -0.985298  \n",
       "2  0.999214  \n",
       "3  0.523066  \n",
       "4  0.826829  \n",
       "\n",
       "[5 rows x 30 columns]"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from scipy.spatial.transform import Rotation as rotation\n",
    "\n",
    "df = df_NAM[df_NAM.age < 60]\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 261,
   "id": "16a3c8cc-45cb-427e-955c-4041520d3973",
   "metadata": {},
   "outputs": [],
   "source": [
    "Lat = df.slat * (np.pi / 180)\n",
    "Lon = df.slon * (np.pi / 180)\n",
    "Age = df.age\n",
    "\n",
    "def loss_rotation(v):\n",
    "    \n",
    "    EP_lon, EP_lat, omega, PP_lon_0, PP_lat_0 = v\n",
    "    \n",
    "    epole = spherical2cartesian(EP_lon, EP_lat)\n",
    "    ppole = spherical2cartesian(PP_lon_0, PP_lat_0)\n",
    "    \n",
    "    cost = 0\n",
    "    \n",
    "    for i,t in enumerate(Age):\n",
    "        \n",
    "        dt = omega * t\n",
    "        r = rotation.from_rotvec(dt * np.array(epole))\n",
    "    \n",
    "        rotated_pole = r.apply(ppole)\n",
    "        ppole = spherical2cartesian(Lon[i], Lat[i])\n",
    "        \n",
    "        cost += np.arccos( np.dot(ppole, rotated_pole) ) ** 2\n",
    "    \n",
    "    return cost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 262,
   "id": "aa35bf36-4b18-4d70-aea1-3c27adb28caf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       " final_simplex: (array([[1.263615874548238, 0.627197965170617, 1.               ,\n",
       "        4.230580510340159, 0.519461440682631],\n",
       "       [1.263621883483011, 0.627196644241139, 1.               ,\n",
       "        4.230543679047114, 0.51944939893805 ],\n",
       "       [1.263617318482994, 0.627205772829847, 1.               ,\n",
       "        4.230540858974429, 0.519426531115357],\n",
       "       [1.263621919478077, 0.627189268850457, 1.               ,\n",
       "        4.23053254122115 , 0.519491473260507],\n",
       "       [1.263619218690949, 0.62721256936321 , 1.               ,\n",
       "        4.230578508926206, 0.519503354447798],\n",
       "       [1.263617731795947, 0.627192061463901, 1.               ,\n",
       "        4.230534109664132, 0.519554473851017]]), array([3.788637001735601, 3.788637002292162, 3.788637002814164,\n",
       "       3.78863700365704 , 3.788637005162162, 3.788637005330824]))\n",
       "           fun: 3.7886370017356006\n",
       "       message: 'Optimization terminated successfully.'\n",
       "          nfev: 339\n",
       "           nit: 209\n",
       "        status: 0\n",
       "       success: True\n",
       "             x: array([1.263615874548238, 0.627197965170617, 1.               ,\n",
       "       4.230580510340159, 0.519461440682631])"
      ]
     },
     "execution_count": 262,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "initialGuess = [np.random.uniform(0, 2*np.pi), np.random.uniform(-np.pi/2, np.pi/2), 1, Lon[0], Lat[0]]\n",
    "Bounds = [(0, 2*np.pi), (-np.pi/2, np.pi/2), (0,1), (0, 2*np.pi), (-np.pi/2, np.pi/2)]\n",
    "\n",
    "optimum = minimize(loss_rotation, x0=np.array(initialGuess), method=\"Nelder-Mead\", bounds=Bounds, options={'gtol': 1E-10})\n",
    "optimum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 263,
   "id": "beb7b6f8-66c8-42d3-a690-b53fade74d17",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(72.39985653734654, 35.93579632346954, 1.0)"
      ]
     },
     "execution_count": 263,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "EP_lon, EP_lat, omega, PP_lon_0, PP_lat_0  = optimum.x\n",
    "\n",
    "EP_lon *= (180 / np.pi)\n",
    "EP_lat *= (180 / np.pi)\n",
    "\n",
    "PP_lon_0 *= (180 / np.pi)\n",
    "PP_lat_0 *= (180 / np.pi)\n",
    "\n",
    "EP_lon, EP_lat, omega"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 264,
   "id": "1bfbf01a-56a1-4cb0-adc9-399e4d014d73",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(40, 2)"
      ]
     },
     "execution_count": 264,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def print_rotated(v):\n",
    "    \n",
    "    EP_lon, EP_lat, omega, PP_lon_0, PP_lat_0 = v\n",
    "    \n",
    "    epole = spherical2cartesian(EP_lon, EP_lat)\n",
    "    ppole = spherical2cartesian(PP_lon_0, PP_lat_0)\n",
    "    \n",
    "    res = []\n",
    "    \n",
    "    for i,t in enumerate(Age):\n",
    "        \n",
    "        dt = omega * t\n",
    "        r = rotation.from_rotvec(dt * np.array(epole))\n",
    "    \n",
    "        rotated_pole = r.apply(ppole)\n",
    "        ppole = spherical2cartesian(Lon[i], Lat[i])\n",
    "        \n",
    "        res.append(cartesian2spherical(ppole[0], ppole[1], ppole[2]))\n",
    "    \n",
    "    return res\n",
    "\n",
    "Pred = (180 / np.pi) * np.array(print_rotated(optimum.x))\n",
    "Pred.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 265,
   "id": "5c79b33b-1f3f-491c-829b-16e155fcd266",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(num=0,figsize=(6,6))\n",
    "ipmag.plot_net(0)\n",
    "\n",
    "\n",
    "#map_axis = ipmag.make_orthographic_map(central_longitude=0, central_latitude=-90, figsize=(15,15))\n",
    "#ipmag.plot_poles_colorbar(map_axis, df_NAM.plon, df_NAM.plat, np.zeros(df_NAM.shape[0]) ,df_NAM.age, 0, 120)\n",
    "ipmag.plot_di(df_NAM.plon, df_NAM.plat)\n",
    "ipmag.plot_di(EP_lon, EP_lat, color='r', label=\"EP\")\n",
    "ipmag.plot_di(PP_lon_0, PP_lat_0, color='b', label=\"PP0\")\n",
    "ipmag.plot_di(Pred[:,0], Pred[:,1], color='grey')\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.8.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}