{ "cells": [ { "cell_type": "markdown", "id": "9c9ec342-b3cc-4628-9b8b-2100134c77b6", "metadata": {}, "source": [ "# Standard deviational ellipse in `pointpats`\n", "\n", "This notebook demonstrates how to compute and visualize the\n", "**standard deviational ellipse** (SDE) for planar point patterns using\n", "`pointpats.centrography`.\n", "\n", "The SDE provides a compact summary of:\n", "\n", "- **Central location** of the point pattern\n", "- **Dispersion** along two principal axes\n", "- **Orientation** of the pattern in the plane\n", "- Optional **weighting** of points (e.g., counts, magnitudes, intensities)\n", "\n", "We will:\n", "\n", "1. Construct a simple example point pattern and compute its standard\n", " deviational ellipse.\n", "2. Show how the SDE computation **dispatches on input type**, including\n", " NumPy arrays and GeoPandas GeoDataFrames.\n", "3. Compare **unweighted** and **weighted** ellipses to see how weights\n", " affect the ellipse size and orientation.\n", "4. Explore additional options in the ellipse construction, including\n", " corrections that align or differ from CrimeStat-style ellipses.\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "b6fbd94a-9b3a-47a5-a04a-f16b9146f9ed", "metadata": {}, "outputs": [], "source": [ "import geopandas as gpd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import geopandas as gpd\n", "from pointpats import ellipse" ] }, { "cell_type": "code", "execution_count": 3, "id": "8c22f909-f5d5-4c26-a8a0-2f1118eef336", "metadata": {}, "outputs": [], "source": [ "import pointpats\n" ] }, { "cell_type": "markdown", "id": "5fa8c9eb-b023-4d3e-8914-2fd690cbcf0b", "metadata": {}, "source": [ "## 1. Example point pattern\n", "\n", "- 100 points\n", "- randomly distributed in [(0,0), (10, 10)]" ] }, { "cell_type": "code", "execution_count": 4, "id": "a567c58f-dec2-4ca6-b7d5-c8fedbce2a46", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "seed = 65647437836358831880808032086803839626\n", "rng = np.random.default_rng(seed)\n", "points = rng.integers(0, 100, (50, 2))" ] }, { "cell_type": "code", "execution_count": 5, "id": "90686986-ba5c-4a56-9694-5ba521946be0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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dWrx4se0mAZ52e2SMCkM5aoy29nrfJSApHOosS840L5VKe+lYUsF6uLz66qu6//779aUvfUk1NTX69Kc/raVLl2rRokWSpPr6ejU2NqqsrCzxb4LBoGbOnKna2tpew6WtrU1tbW2J35ubm203G3Ct7KyA1s4t0ZKqowpISQET/6pbO7ck4198XiqV9tKxpIr1YbHf/OY32rp1q4qLi/Vf//Vfevzxx/XUU0/pX//1XyVJjY2NkqSCgoKkf1dQUJB4rbvKykqFQqHEz/jx4203G3C1B0oLtXXhVIVDyUNf4VCOti6cmvEvPC+VSnvpWFIpYIyxWp84atQo3XrrraqtrU1se+qpp3T48GEdPHhQtbW1uuuuu/TRRx+psPDyCb9o0SKdOXNGe/fu7fE3e7tyGT9+vKLRqPLz8202H3A1Jw7VdMSMZmx4vc+Ktviw3YFVn8t4WwfipWMZjubmZoVCoUF991q/ciksLFRJSUnSthtuuEGnT5+WJIXDYUnqcZXS1NTU42omLhgMKj8/P+kHgDt4qVTaS8eSatbvudx111165513kra9++67mjBhgiQpEokoHA6rurpaU6ZMkSS1t7erpqZGGzZssN0cwDeceh/AS6XSXjqWVLN+5fL000/rzTffVEVFhd577z3t3LlTL730kpYtWyZJCgQCKi8vV0VFhXbv3q0TJ07oscce0+jRo7VgwQLbzQF8wcn3AbxUKu2lY0k161cut912m3bv3q3Vq1frueeeUyQS0ebNm/Xwww8n9lm5cqUuXryopUuX6vz585o+fbr27dunvLw8280BPG+g6V8C6pz+ZXZJOCP3AdxUKj0QLx1Lqlm/oZ8OQ7mpBHjdwffPav62Nwfc74eL/lh3XD82DS3qKX5lJfVeKu2EirbB8tKxDFVGb+gDSC833Adweqn0UHjpWFKJ9VwAl3PLfYAHSgs1uyTsuFLp4fDSsaQK4QK4nJvuA2RnBTI2NGebl44lFRgWA1wuPv2LdHncP85J07/AXwgXwAO4DwCnYVgM8AjuA8BJCBfAQ7gPAKdgWAwAYB1XLnA8J870i/7xmYFwgaM5dTJG9I3PDBLDYnAwJ0/GiN7xmSGOcIEjDTQZo9Q5GWNHzHVT43kWnxm6IlzgSCzK5D58ZuiKcIEjuWEyRiTjM0NXhAscyS2TMeIyPjN0RbjAkeKTMfZVvBpQZwWSEyZjRCc+M3RFuMCRmIzRffjM0BXhAsdiMkb34TNDHMscw/F42tt9+My8aSjfvTyhD8djMkb34TMDw2IAAOsIFwCAdQyLwZMY84dfOPVcJ1zgOczKC79w8rnOsBg8hVl54RdOP9cJF3gGs/LCL9xwrhMu8Axm5YVfuOFcJ1zgGczKC79ww7lOuMAzmJUXfuGGc51wgWcwK2+yjpjRwffP6sfHPtTB989yr8lD3HCuU4oMz4jPyruk6qgCUtLNTr/NyuvkElVcOTec61y5wFOYldf5Jaqww+nnOrMiw5Oc+tRyqnXEjGZseL3PSqKAOr98Dqz6nC/6ww/Sea4zKzJ8z6+z8g6lRNWP/eNFTj3XGRYDPMQNJarwB8IF8BA3lKjCHwgXwEPcUKIKfyBcAA+Jl6hK6hEwTilRhT8QLoDHOL1EFf5AtRjgQQ+UFmp2SdiX5dhwBsIF8CinlqjCHxgWAwBYR7gAAKwjXAAA1hEuAADrCBcAgHW+rxbz6+y5AJBKvg4XFlQCgNTw7bAYCyoBQOr4Mlw6Ykbr99Spt1XS4tvW76ljzXEAGCZfhstQFlQCAAydL8OFBZUAILV8GS4sqAQAqeXLcGFBJQBILV+GCwsqAUBq+TJcJBZUAoBU8vVDlCyoBACpkfIrl8rKSgUCAZWXlye2GWO0bt06FRUVKTc3V7NmzdLJkydT3ZRexRdU+uItn9Yd148lWADAgpSGy+HDh/XSSy/pM5/5TNL2jRs3atOmTdqyZYsOHz6scDis2bNnq6WlJZXNAQCkScrC5ZNPPtHDDz+sbdu26eqrr05sN8Zo8+bNWrNmjebNm6fS0lLt2LFDFy5c0M6dO1PVHABAGqUsXJYtW6Y5c+bovvvuS9peX1+vxsZGlZWVJbYFg0HNnDlTtbW1vf6ttrY2NTc3J/0AAJwrJTf0d+3apaNHj+rw4cM9XmtsbJQkFRQUJG0vKCjQqVOnev17lZWVWr9+vf2GAgBSwvqVy5kzZ7R8+XJVVVUpJ6fvJ9wDgeQb58aYHtviVq9erWg0mvg5c+aM1TYDAOyyfuVy5MgRNTU1adq0aYltHR0d2r9/v7Zs2aJ33nlHUucVTGHh5WdJmpqaelzNxAWDQQWDQdtNBdALFtDzpnR/rtbD5d5779Xx48eTtv35n/+5Jk+erFWrVmnSpEkKh8Oqrq7WlClTJEnt7e2qqanRhg0bbDcHwBCwgJ43ZeJztR4ueXl5Ki0tTdp21VVXaezYsYnt5eXlqqioUHFxsYqLi1VRUaHRo0drwYIFtpsDYJDiC+h1X8UovoAeM1e4U6Y+14w8ob9y5UpdvHhRS5cu1fnz5zV9+nTt27dPeXl5mWgO4DjpHsIYaAG9gDoX0JtdEmaIzEUy+bkGjDGuW26xublZoVBI0WhU+fn5mW4OYFUmhjAOvn9W87e9OeB+P1z0x7rj+rEpaQPss/25DuW717cTVwJOFB/C6L5SanwIY++JhpS8LwvoeVMmP1fCBXCIgYYwpM4hjI6Y/cEGFtDzpkx+roQL4BCH6s/1uGLpykhqiLbqUP056+/NAnrelMnPlXABHCKTQxgsoOdNmfxcCRfAITI9NMUCet6Uqc/V14uFAU4SH8JojLb2et8loM4vhFQOTbGAnjdl4nMlXACHiA9hLKk6qoCUFDDpHJqKL6AHb0n358qwGOAgDE3BK7hyARyGoSl4AeECOBBDU3A7hsUAANb57sqFtSoAIPV8FS6sVQEA6eGbYbFMTQgIAH7ki3DJ5ISAAOBHvgiXTE4ICAB+5ItwYa0KAEgvX4RLpicEBAC/8UW4sFYFAKSXL8KFtSoAIL18ES4SEwICQDr56iFKJgQEgPTwVbhITAgIAOngm2ExAED6EC4AAOt8NyzmZcz4DMApCBePYMZnAE7CsJgHMOMzAKchXFyOGZ8BOBHh4nLM+AzAiQgXl2PGZwBORLi4HDM+A3AiqsVcLj7jc2O0tdf7LgF1zp/GjM/eQck53IBwcbn4jM9Lqo4qICUFDDM+ew8l53ALhsU8gBmf/YGSc7gJVy4ZYntoI5MzPjNMk3oDlZwH1FlyPrskTN/DEQiXDEjV0EYmZnxmmCY9hlJyzqzfcAKGxdLMS0MbXjoWp6PkHG5DuKSRl56m99KxuAEl53AbhsXSyEtDG4M9ljffP6usrAD3Y64QJedwG8Iljbw0tDHYNi7beVS/u/iHxO/cjxkeSs7hNgyLpZGXhjYG28auwSJxP+ZKUHION+HKJY28NLQx0LH0hbLZK5PJkvPu2i/F9IODH+jUuQuaMGa0HrljokaNyOx/r1IW7xyESxp5aWijv2MZiJvuLTlRJkrOu6t8rU7b3qhX13qN5197W4vujmj1gyUZaRNl8c7CsFiaeWloo69j+VTuyEH9ezfcW0JPla/V6bv7k4NFkmJG+u7+elW+Vpf2NlEW7zwBY4zrakWbm5sVCoUUjUaVn5+f6eYMi5cu37sfS8wYPfy9Xwz473646I8z/l/gGJr2SzFN/uZPegRLV1kB6f/9n8+nbYisI2Y0Y8PrfVYvxoebD6z6nGv/P+YUQ/nuZVgsQ5wwtGFL92PpiBnP3FtCsh8c/KDfYJE6r2B+cPADff3uSWlpk5dK/L2EYTFYF78fI12+lxTntntLSHbq3AWr+9ngpRJ/LyFckBJeureEyyaMGW11Pxu8VOLvJQyLIWWcVDYLOx65Y6Kef+3tAe+5PHLHxLS1yUsl/sPh1Pu3hAtSykv3liCNGpGlRXdH9N399X3us+juSFqfd/FSif9QObn8mmExAEOy+sESLb4nou7f1VkBafE9mXnOxY/DsE4vv6YUGcCwuPkJfacOJQ1WpsqvKUUGkHKjRmSlrdx4sAYzDOvkoaTBckP5NcNiAHzD6UNJg+WG8mvCBYAveGmBOzeUX1sPl8rKSt12223Ky8vTuHHj9NBDD+mdd95J2scYo3Xr1qmoqEi5ubmaNWuWTp48abspAJAwlKEkp4uXX/d1NyWgzqG+TJZfWw+XmpoaLVu2TG+++aaqq6t16dIllZWV6fe//31in40bN2rTpk3asmWLDh8+rHA4rNmzZ6ulpcV2cwBAkjuGkgbLDbNgWA+XvXv36rHHHtONN96om2++Wdu3b9fp06d15MgRSZ1XLZs3b9aaNWs0b948lZaWaseOHbpw4YJ27txpuzkAIMkdQ0lD4fTy65RXi0WjUUnSmDGdl2f19fVqbGxUWVlZYp9gMKiZM2eqtrZWixcvTnWTAPiQF5/kd/IsGCkNF2OMVqxYoRkzZqi0tFSS1NjYKEkqKChI2regoECnTp3q9e+0tbWpra0t8Xtzc3OKWgzAq7z6JL9TZ8FIabXYE088oV//+tf64Q9/2OO1QCD5AzTG9NgWV1lZqVAolPgZP358StoLwNucPpTkJSm7cnnyySf16quvav/+/br22msT28PhsKTOK5jCwssfZFNTU4+rmbjVq1drxYoVid+bm5sJGADD4uShJC+xHi7GGD355JPavXu3fv7znysSiSS9HolEFA6HVV1drSlTpkiS2tvbVVNTow0bNvT6N4PBoILBoO2mAvAppw4leYn1cFm2bJl27typH//4x8rLy0vcYwmFQsrNzVUgEFB5ebkqKipUXFys4uJiVVRUaPTo0VqwYIHt5gAAMsB6uGzdulWSNGvWrKTt27dv12OPPSZJWrlypS5evKilS5fq/Pnzmj59uvbt26e8vDzbzQEAZACzIgMABmUo373MLQYAsI5wAQBYx3ouGJTuiytNm3C1jpw6TykngF4RLhhQb4srZQWkrjOTu22xJQCpxbAY+tXX4krdl7xw22JLAFKLcEGf+ltcqTu3LbYEILUIF/RpoMWVunPTYksAUotwQZ+Gu2iSGxZbApBahAv6NNxFk9yy2BKA1KFaDH0aaHGl7ty42NJQdC/Hpvwa6Bvhgj71t7hSd25ebGkweivHpvwa6BvDYuhXX4srdc8PLy+21Fc5NuXXQN+4csGAeltcyS9P6PdXjm3UecW2fk+dZpeEPXn8wHARLhiU3hZX8sNiSwOVY3ctv/ZDfwCDxbAY0I/BllVTfg0kI1yAfgy2rJryayAZ4QL0I16O3dfdlIA6q8a8Wn4NDBfhAvQjXo4tqUfAeL38GrgShAswgL7Ksb1cfg1cKarFgEHorRzbq+XXgA2ECzBIvZVjA+gdw2IAAOsIFwCAdYQLAMA6wgUAYB3hAgCwjnABAFhHuAAArCNcAADWES4AAOsIFwCAdYQLAMA6wgUAYB0TV6ZQR8wwiy58wavnulePKx0IlxTZe6JB6/fUqSF6eW31wlCO1s4tYf0PeIpXz3WvHle6MCyWAntPNGhJ1dGkk1KSGqOtWlJ1VHtPNGSoZYBdXj3XvXpc6US4WNYRM1q/p06ml9fi29bvqVNHrLc9APfw6rnu1eNKN8LFskP153r8105XRlJDtFWH6s+lr1FACnj1XPfqcaUb4WJZU0vfJ+Vw9gOcyqvnulePK90IF8vG5eVY3Q9wKq+e6149rnSjWqwPwy1BvD0yRoWhHDVGW3sdsw1ICoc6/x7gZl491wd7XNMmXK2D75+lTLkPhEsvrqQEMTsroLVzS7Sk6qgCUtLJGT/t1s4t4SSE63n1XB/McX3h5kLN/NbPKFPuB8Ni3dgoQXygtFBbF05VOJR82RwO5WjrwqmcfPAMr57r/R3XX9wT0Uv76ylTHkDAGOO6errm5maFQiFFo1Hl5+db+7sdMaMZG17vs1Ikfjl8YNXnBvVfYzzdC7cb7Dns1XO9+3FNm3B1jyuWrpz2HdF+KaYfHPxAp85d0IQxo/XIHRM1asTwrymG8t3LsFgXQylBvOP6sQP+veyswKD2A5xoKMPDXj3Xux/XwffPWvuOSPUMAJWv1WnbG/Xq+jjO86+9rUV3R7T6wZIr/vsDYVisC0oQgU48od47W98Rqe7fytfq9N39ycEiSTEjfXd/vSpfq7uivz8YhEsXlCACPKHeHxvfEanu3/ZLMW17o77ffba9Ua/2S7Fh/f3BIly6iJcg9jXiGVDnZavbSiuBoeAJ9b7Z+I5Idf/+4OAHPa5YuouZzv1SiXDpIl6CKKnHyePm0kpgKBge7puN74hU9++pcxes7jdchEs3Xi2tBAaL4eH+Xel3RKr7d8KY0Vb3Gy6qxXrxQGmhZpeEPVlaCXdIZ2lvb+W2Xnzyvj9D7e8r+Y5I9cwGj9wxUc+/9na/Q2NZgc79Uolw6YNXSyvhfOlcpKqv9/rCzYV6aX+9p56878tw+3u43xGpntlg1IgsLbo7ou/u7/um/qK7I1f0vMtgMCwGOEg6S4D7e6+X9tfrL+6JeH54OFMl16kefl/9YIkW3xNR93zKCkiL70nPcy48oQ84hO0ZImy8V80zn9WRU+c9OTyczv7urw08oQ8gpWzPEGHjvY6cOu/Z4eF09ndfUj38PmpElr5+96SU/f3+MCwGOEQ6S4ApN6YPUo1wARwinSXAfi837ogZfdzSNqh9vdoHqZbRcPnOd76jSCSinJwcTZs2TW+88UYmmwNkVDpniPDzbBR7TzRoxobX9X/+79v97uflPkiHjIXLyy+/rPLycq1Zs0ZvvfWW7r77bn3+85/X6dOnM9UkIKPSOUOEX2ej6Ks6rDsv90G6ZKxabPr06Zo6daq2bt2a2HbDDTfooYceUmVlZb//lmoxeJkTnnPx4oqKA1WHdeXVPrhSjq8Wa29v15EjR/Tss88mbS8rK1NtbW2P/dva2tTWdnl8tLm5OeVtBDIlnTNE+Gk2ioGqw+K+OecGPXZXxJN9kE4ZCZePP/5YHR0dKigoSNpeUFCgxsbGHvtXVlZq/fr16WoekHHpnCHCL7NRDLbq65q8IMFiQUZv6AcCyR+gMabHNklavXq1otFo4ufMmTPpaiIAj/B7hVy6ZeTK5ZprrlF2dnaPq5SmpqYeVzOSFAwGFQwG09U8AB6U6gkjkSwjVy6jRo3StGnTVF1dnbS9urpad955ZyaaBMDj/FohlykZGxZbsWKFvve97+lf/uVf9Pbbb+vpp5/W6dOn9fjjj2eqSQA8jvWa0idjc4t9+ctf1tmzZ/Xcc8+poaFBpaWleu211zRhwoRMNQmAD/ipQi6TmBUZADAoQ/nuZW4xAIB1hAsAwDrCBQBgHeECALCOcAEAWEe4AACsI1wAANYRLgAA6wgXAIB1GZv+5UrEJxVg0TAASJ/4d+5gJnZxZbi0tLRIksaPH5/hlgCA/7S0tCgUCvW7jyvnFovFYvroo4+Ul5fX6+JiA2lubtb48eN15swZ5iYT/dEd/ZGM/kjm5/4wxqilpUVFRUXKyur/roorr1yysrJ07bXXXvHfyc/P993J0R/6Ixn9kYz+SObX/hjoiiWOG/oAAOsIFwCAdb4Ml2AwqLVr1yoYDGa6KY5AfySjP5LRH8noj8Fx5Q19AICz+fLKBQCQWoQLAMA6wgUAYB3hAgCwzpfh8p3vfEeRSEQ5OTmaNm2a3njjjUw3KeUqKyt12223KS8vT+PGjdNDDz2kd955J2kfY4zWrVunoqIi5ebmatasWTp58mSGWpxelZWVCgQCKi8vT2zzW398+OGHWrhwocaOHavRo0frlltu0ZEjRxKv+6k/Ll26pG984xuKRCLKzc3VpEmT9NxzzykWiyX28VN/DIvxmV27dpmRI0eabdu2mbq6OrN8+XJz1VVXmVOnTmW6aSl1//33m+3bt5sTJ06YY8eOmTlz5pjrrrvOfPLJJ4l9XnjhBZOXl2f+4z/+wxw/ftx8+ctfNoWFhaa5uTmDLU+9Q4cOmYkTJ5rPfOYzZvny5YntfuqPc+fOmQkTJpjHHnvM/OIXvzD19fXmv//7v817772X2MdP/fG3f/u3ZuzYseY///M/TX19vfn3f/9380d/9Edm8+bNiX381B/D4btwuf32283jjz+etG3y5Mnm2WefzVCLMqOpqclIMjU1NcYYY2KxmAmHw+aFF15I7NPa2mpCoZB58cUXM9XMlGtpaTHFxcWmurrazJw5MxEufuuPVatWmRkzZvT5ut/6Y86cOeZrX/ta0rZ58+aZhQsXGmP81x/D4athsfb2dh05ckRlZWVJ28vKylRbW5uhVmVGNBqVJI0ZM0aSVF9fr8bGxqS+CQaDmjlzpqf7ZtmyZZozZ47uu+++pO1+649XX31Vt956q770pS9p3LhxmjJlirZt25Z43W/9MWPGDP30pz/Vu+++K0n61a9+pQMHDujBBx+U5L/+GA5XTlw5XB9//LE6OjpUUFCQtL2goECNjY0ZalX6GWO0YsUKzZgxQ6WlpZKUOP7e+ubUqVNpb2M67Nq1S0ePHtXhw4d7vOa3/vjNb36jrVu3asWKFfrrv/5rHTp0SE899ZSCwaC++tWv+q4/Vq1apWg0qsmTJys7O1sdHR16/vnnNX/+fEn+Oz+Gw1fhEtd9mn5jzLCm7nerJ554Qr/+9a914MCBHq/5pW/OnDmj5cuXa9++fcrJyelzP7/0RywW06233qqKigpJ0pQpU3Ty5Elt3bpVX/3qVxP7+aU/Xn75ZVVVVWnnzp268cYbdezYMZWXl6uoqEiPPvpoYj+/9Mdw+GpY7JprrlF2dnaPq5SmpqYe/wXiVU8++aReffVV/exnP0tatiAcDkuSb/rmyJEjampq0rRp0zRixAiNGDFCNTU1+sd//EeNGDEiccx+6Y/CwkKVlJQkbbvhhht0+vRpSf47P5555hk9++yz+spXvqKbbrpJjzzyiJ5++mlVVlZK8l9/DIevwmXUqFGaNm2aqqurk7ZXV1frzjvvzFCr0sMYoyeeeEKvvPKKXn/9dUUikaTXI5GIwuFwUt+0t7erpqbGk31z77336vjx4zp27Fji59Zbb9XDDz+sY8eOadKkSb7qj7vuuqtHafq7776rCRMmSPLf+XHhwoUei2FlZ2cnSpH91h/DksFigoyIlyL/8z//s6mrqzPl5eXmqquuMh988EGmm5ZSS5YsMaFQyPz85z83DQ0NiZ8LFy4k9nnhhRdMKBQyr7zyijl+/LiZP3++r0oru1aLGeOv/jh06JAZMWKEef75583//M//mH/7t38zo0ePNlVVVYl9/NQfjz76qPn0pz+dKEV+5ZVXzDXXXGNWrlyZ2MdP/TEcvgsXY4z5p3/6JzNhwgQzatQoM3Xq1EQ5rpdJ6vVn+/btiX1isZhZu3atCYfDJhgMmnvuucccP348c41Os+7h4rf+2LNnjyktLTXBYNBMnjzZvPTSS0mv+6k/mpubzfLly811111ncnJyzKRJk8yaNWtMW1tbYh8/9cdwMOU+AMA6X91zAQCkB+ECALCOcAEAWEe4AACsI1wAANYRLgAA6wgXAIB1hAsAwDrCBQBgHeECALCOcAEAWEe4AACs+/9Y1pWHR5ZRkgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "points_gdf = gpd.GeoDataFrame(geometry=gpd.points_from_xy(points[:,0], points[:,1]))\n", "\n", "points_gdf.plot()" ] }, { "cell_type": "markdown", "id": "ade6fe62-313e-4e4f-bced-a16fd9f84f55", "metadata": {}, "source": [ "## 2. Dispatching on input type\n", "\n", "`ellipse` can take the following inputs\n", "\n", "- points as a 2-D numpy array\n", "- a geodataframe with a point GeoSeries\n", "\n", "It is important to note that the return types differ between these two cases." ] }, { "cell_type": "markdown", "id": "c08e18cb-59ae-4952-80c6-9ea7203364f0", "metadata": {}, "source": [ "### 2.1 Passing an array" ] }, { "cell_type": "code", "execution_count": 6, "id": "f381e968-3868-4a44-bc4f-f8fb620bba81", "metadata": {}, "outputs": [], "source": [ "ellipse_ = ellipse(points)" ] }, { "cell_type": "markdown", "id": "20caa5b8-fd65-4c94-b18f-f9069ca4f2ba", "metadata": {}, "source": [ "This will return a tuple with\n", "- length of the major axis\n", "- length of the minor axis\n", "- angle of rotation (in radians)" ] }, { "cell_type": "code", "execution_count": 7, "id": "706c3026-a75c-4a46-a848-f22d58694118", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(43.85494662229593, 36.28453973005919, -0.9362557045365753)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ellipse_" ] }, { "cell_type": "markdown", "id": "68de8ebb-0354-4c7a-beff-bd07db2a221d", "metadata": {}, "source": [ "### 2.2 Passing a GeoDataFrame" ] }, { "cell_type": "code", "execution_count": 8, "id": "6b1272a6-5180-4211-936f-9fb70044b82d", "metadata": {}, "outputs": [], "source": [ "ellipse_poly = ellipse(points_gdf)" ] }, { "cell_type": "markdown", "id": "459548fb-2bc5-4e11-95fe-9f989006aeb0", "metadata": {}, "source": [ "This will return a `shapely` `Polygon`" ] }, { "cell_type": "code", "execution_count": 9, "id": "3420d0d1-5c2a-491c-abd9-9ea2b7d64a0b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "shapely.geometry.polygon.Polygon" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(ellipse_poly)" ] }, { "cell_type": "markdown", "id": "c4dcaefb-cd34-4272-a8c1-c7dd45079bbb", "metadata": {}, "source": [ "## 3. Unweighted and weighted ellipses\n", "\n", "The default is to treat the points as an unmarked point pattern and construct the ellipse accordingly." ] }, { "cell_type": "code", "execution_count": 10, "id": "23e497c8-3a62-4d37-8a74-6c59fd94f03c", "metadata": {}, "outputs": [], "source": [ "ellipse_gdf = gpd.GeoDataFrame(geometry=[ellipse_poly])" ] }, { "cell_type": "code", "execution_count": 11, "id": "c3dd02c1-e139-4413-8044-5e15bef12149", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "base = ellipse_gdf.plot()\n", "points_gdf.plot(ax=base, color='k')" ] }, { "cell_type": "markdown", "id": "73b29b5a-96be-428d-ba68-3b7bc41ca7a1", "metadata": {}, "source": [ "### 3.1 Weighted points\n", "\n", "If marks are available to attach to each point, the weighted standard deviational ellipse can be constructed. Here we use use the $y$ coordinate as the weight for demonstration:" ] }, { "cell_type": "code", "execution_count": 12, "id": "143ddf77-89b6-4ef4-8405-0ce17b2a54ba", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Marked Point Pattern')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Normalize or scale marker size (you can tune this)\n", "size_scale = 20 # try 10, 20, 50 etc. to get a good size visually\n", "marker_sizes = points[:,1] * size_scale\n", "\n", "fig, ax = plt.subplots(figsize=(8, 6))\n", "base = points_gdf.plot(ax=ax, markersize=marker_sizes, alpha=0.6, color='cornflowerblue', edgecolor='k')\n", "points_gdf.plot(ax=base, color='k')\n", "ax.set_title(\"Marked Point Pattern\", fontsize=14)" ] }, { "cell_type": "code", "execution_count": 13, "id": "4536e782-5e00-445f-86bc-14691eabf366", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "" ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ellipse_w_poly = ellipse(points_gdf, weights=points[:,1])\n", "ellipse_w_poly" ] }, { "cell_type": "code", "execution_count": 14, "id": "b54a2dc5-8927-41ae-a732-623c3b039bf2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([51.1 , 36.88])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mc = pointpats.mean_center(points)\n", "mc" ] }, { "cell_type": "code", "execution_count": 15, "id": "66738152-5476-4c4d-8c98-3f9d7002d3c2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([47.3302603 , 59.13665944])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wmc = pointpats.weighted_mean_center(points, points[:,1])\n", "wmc" ] }, { "cell_type": "code", "execution_count": 16, "id": "bb956941-df8b-4410-922f-f34695889519", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "size_scale = 20 \n", "marker_sizes = points[:,1] * size_scale\n", "\n", "fig, ax = plt.subplots(figsize=(8, 6))\n", "\n", "ellipse_gdf.plot(ax=ax)\n", "gpd.GeoSeries([ellipse_w_poly]).plot(color='yellow', ax=ax)\n", "points_gdf.plot(ax=ax, color='k')\n", "base = points_gdf.plot(ax=ax, markersize=marker_sizes, alpha=0.6, color='cornflowerblue', edgecolor='k')\n", "points_gdf.plot(ax=ax, color='k')\n", "ax.plot(*mc, marker='o', color='red', markersize=10, label='mean center')\n", "ax.plot(*wmc, marker='o', color='green', markersize=10, label='weighted mean center')\n", "ax.legend()\n", "ax.set_title(\"Marked Point Pattern\", fontsize=14);" ] }, { "cell_type": "markdown", "id": "e068b84a-83b8-4f29-939a-6b4b420abd6f", "metadata": {}, "source": [ "## 4. Other options\n", "\n", "The default option constructs the standard deviational ellipse following the method used in CrimeStat." ] }, { "cell_type": "code", "execution_count": 17, "id": "f5efab64-b13e-42a6-8d05-d68391ad8869", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(43.85494662229593, 36.28453973005919, -0.9362557045365753)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ellipse(points)" ] }, { "cell_type": "markdown", "id": "af44e1e8-cbe7-4bcd-b496-864a6d3822f5", "metadata": {}, "source": [ "The default construction can be overridden in one of two (or both) ways.\n", "\n", "The first employs the `yuill` method which employs a different estimator for the major and minor axes lengths:" ] }, { "cell_type": "code", "execution_count": 18, "id": "04800f10-f44b-442e-a0ff-fc833e0f6680", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(31.01013014519952, 25.65704409535755, -0.9362557045365753)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ellipse(points, method='yuill', crimestatCorr=False) " ] }, { "cell_type": "markdown", "id": "b98d38be-0b7e-420b-b63c-dc2f821d6a55", "metadata": {}, "source": [ "This results in shorter axes lengths relative to to crimestat.\n", "\n", "The second approach drops the degrees of freedom correction used in the default:" ] }, { "cell_type": "code", "execution_count": 19, "id": "93d51f17-71a9-435a-8d5e-9255c465e579", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(42.96889676864705, 35.551443156155464, -0.9362557045365753)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ellipse(points, method='yuill', degfreedCorr=False) " ] }, { "cell_type": "markdown", "id": "987d22d8-639f-4ff4-82b4-1a2bfd1c21c2", "metadata": {}, "source": [ "Again, this shortens the estimated axes.\n", "\n", "Finally, both corrections can be toggled off:" ] }, { "cell_type": "code", "execution_count": 20, "id": "55ee9923-9dcb-4580-a9a1-3388cce22fc5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(30.383598285215058, 25.138666536685605, -0.9362557045365753)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ellipse(points, method='yuill', crimestatCorr=False, degfreedCorr=False) " ] }, { "cell_type": "markdown", "id": "660bc907", "metadata": {}, "source": [ "## 5. Recap\n", "\n", "In this notebook, we:\n", "\n", "- Introduced the **standard deviational ellipse** (SDE) as a summary of\n", " the central location, dispersion, and orientation of a point pattern.\n", "- Showed how `pointpats.centrography` can construct an SDE from both\n", " NumPy arrays and GeoPandas GeoDataFrames.\n", "- Compared **unweighted** and **weighted** ellipses to highlight how\n", " point weights influence the ellipse axes and rotation.\n", "- Explored additional construction options, including corrections that\n", " control consistency with CrimeStat-style ellipses.\n", "\n", "The SDE complements other centrographic measures (mean center, standard\n", "distance) and the quadrat- and distance-based statistics notebooks to\n", "provide a richer description of spatial point pattern structure in\n", "`pointpats`.\n" ] } ], "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": "3.12.2" } }, "nbformat": 4, "nbformat_minor": 5 }