{ "cells": [ { "cell_type": "markdown", "id": "8aaf7749", "metadata": {}, "source": [ "# Distance-based statistics in `pointpats`\n", "\n", "This notebook provides an introduction to the\n", "**distance-based statistics** available in `pointpats`, focusing on:\n", "\n", "- Ripley’s **G** (nearest-neighbor) function\n", "- Ripley’s **F** (empty-space) function\n", "- Ripley’s **K** and **L** functions (inter-event distances)\n", "- Simulation-based **envelopes** using `g_test` and `k_test`\n", "\n", "We will:\n", "\n", "1. Construct two toy point patterns in the unit square: one **CSR** (completely\n", " spatially random) and one **clustered**.\n", "2. Compare their distance-based statistics using the functional API:\n", " `f`, `g`, `k`, and `l`.\n", "3. Use `g_test` and `k_test` to generate Monte Carlo simulation envelopes\n", " under CSR and visualize departures from complete spatial randomness.\n", "\n", "This notebook is designed to live in the `docs/user-guide/` folder and be\n", "executed automatically as part of the `pointpats` documentation build." ] }, { "cell_type": "markdown", "id": "c485e8fa", "metadata": {}, "source": [ "## 1. Setup and imports\n", "\n", "We work in the unit square `[0, 1] × [0, 1]` and simulate patterns using\n", "the random distributions in `pointpats.random`." ] }, { "cell_type": "code", "execution_count": 5, "id": "5747bcbe", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0., 0., 1., 1.])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from pointpats import PointPattern, random\n", "from pointpats import f, g, k, l, g_test, k_test\n", "\n", "# Make results reproducible\n", "np.random.seed(12345)\n", "\n", "# Unit square hull encoded as [xmin, ymin, xmax, ymax]\n", "hull = np.array([0.0, 0.0, 1.0, 1.0])\n", "hull" ] }, { "cell_type": "markdown", "id": "f74d9e8f", "metadata": {}, "source": [ "## 2. Constructing example point patterns\n", "\n", "We construct two patterns within the same hull:\n", "\n", "- a **CSR** pattern from a homogeneous Poisson process; and\n", "- a **clustered** pattern from a Poisson cluster process.\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "3d12eeab", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(200, 200)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_points = 200\n", "\n", "# CSR pattern: homogeneous Poisson process in the hull\n", "coords_csr = random.poisson(hull, size=n_points)\n", "pp_csr = PointPattern(coords_csr)\n", "\n", "# Clustered pattern: Poisson cluster process\n", "coords_cluster = random.cluster_poisson(\n", " hull,\n", " size=n_points,\n", " n_seeds=5,\n", ")\n", "pp_cluster = PointPattern(coords_cluster)\n", "\n", "pp_csr.n, pp_cluster.n" ] }, { "cell_type": "markdown", "id": "c4241430", "metadata": {}, "source": [ "### Helper: plotting point patterns\n", "\n", "We will reuse a simple helper to visualize point patterns in their hull." ] }, { "cell_type": "code", "execution_count": 7, "id": "a77ea131", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_pattern(points, hull, ax=None, title=None):\n", " \"\"\"Plot a 2D point pattern inside a rectangular hull.\n", "\n", " Parameters\n", " ----------\n", " points : array-like of shape (n, 2)\n", " Point coordinates.\n", " hull : array-like of length 4\n", " Bounding box [xmin, ymin, xmax, ymax].\n", " ax : matplotlib.axes.Axes, optional\n", " Axis to plot on.\n", " title : str, optional\n", " Plot title.\n", " \"\"\"\n", " points = np.asarray(points)\n", "\n", " if ax is None:\n", " fig, ax = plt.subplots(figsize=(4, 4))\n", "\n", " xmin, ymin, xmax, ymax = hull\n", " ax.scatter(points[:, 0], points[:, 1], s=10, alpha=0.7)\n", " ax.set_xlim(xmin, xmax)\n", " ax.set_ylim(ymin, ymax)\n", " ax.set_aspect(\"equal\", adjustable=\"box\")\n", " ax.set_xlabel(\"x\")\n", " ax.set_ylabel(\"y\")\n", " if title:\n", " ax.set_title(title)\n", "\n", " return ax\n", "\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(8, 4))\n", "plot_pattern(coords_csr, hull, ax=axes[0], title=\"CSR (Poisson)\")\n", "plot_pattern(coords_cluster, hull, ax=axes[1], title=\"Clustered\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b4dc3fc8", "metadata": {}, "source": [ "## 3. Distance-based summary functions: F, G, K, L\n", "\n", "`pointpats` provides a functional API for distance-based statistics.\n", "Each function takes `coordinates` and returns a pair `(support, values)`:\n", "\n", "```python\n", "support, G_vals = g(coordinates)\n", "support, F_vals = f(coordinates, hull=hull)\n", "support, K_vals = k(coordinates)\n", "support, L_vals = l(coordinates, linearized=True)\n", "```\n", "\n", "- **G(d)**: nearest-neighbor distribution from events to events.\n", "- **F(d)**: empty-space function from random locations to events\n", " (requires a hull when distances are not precomputed).\n", "- **K(d)**: cumulative inter-event distance function.\n", "- **L(d)**: scaled and shifted version of K; for CSR, linearized L\n", " should be close to zero across distances." ] }, { "cell_type": "code", "execution_count": 8, "id": "f494e7bc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((20,), (20,))" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# G: nearest-neighbor distribution\n", "support_g_csr, G_csr = g(coords_csr)\n", "support_g_cluster, G_cluster = g(coords_cluster)\n", "\n", "# F: empty-space function (needs hull when distances=None)\n", "support_f_csr, F_csr = f(coords_csr, hull=hull)\n", "support_f_cluster, F_cluster = f(coords_cluster, hull=hull)\n", "\n", "# K: inter-event distance function\n", "support_k_csr, K_csr = k(coords_csr)\n", "support_k_cluster, K_cluster = k(coords_cluster)\n", "\n", "# L: linearized version of K\n", "support_l_csr, L_csr = l(coords_csr, linearized=True)\n", "support_l_cluster, L_cluster = l(coords_cluster, linearized=True)\n", "\n", "(support_g_csr.shape, support_k_csr.shape)" ] }, { "cell_type": "markdown", "id": "c7ba6b75", "metadata": {}, "source": [ "### 3.1 Comparing G and F\n", "\n", "We first compare the G and F functions for the CSR and clustered patterns.\n", "Clustering tends to increase the probability of short distances, which is\n", "reflected differently in G and F." ] }, { "cell_type": "code", "execution_count": 9, "id": "bfdad630", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n", "\n", "# G function\n", "ax = axes[0]\n", "ax.plot(support_g_csr, G_csr, label=\"CSR\", lw=2)\n", "ax.plot(support_g_cluster, G_cluster, label=\"Clustered\", lw=2)\n", "ax.set_xlabel(\"distance\")\n", "ax.set_ylabel(\"G(d)\")\n", "ax.set_title(\"Ripley's G function\")\n", "ax.legend()\n", "\n", "# F function\n", "ax = axes[1]\n", "ax.plot(support_f_csr, F_csr, label=\"CSR\", lw=2)\n", "ax.plot(support_f_cluster, F_cluster, label=\"Clustered\", lw=2)\n", "ax.set_xlabel(\"distance\")\n", "ax.set_ylabel(\"F(d)\")\n", "ax.set_title(\"Ripley's F function\")\n", "ax.legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a4e52fb0", "metadata": {}, "source": [ "### 3.2 Comparing K and L\n", "\n", "Under complete spatial randomness (CSR) with intensity `lambda`, we expect:\n", "\n", "- `K(d)` to grow like `pi * d^2`.\n", "- `L(d)` (linearized) to be close to zero.\n", "\n", "Departures above zero in L suggest clustering, while departures below zero\n", "suggest inhibition (regularity)." ] }, { "cell_type": "code", "execution_count": 10, "id": "fdea0ce1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n", "\n", "# K function\n", "ax = axes[0]\n", "ax.plot(support_k_csr, K_csr, label=\"CSR\", lw=2)\n", "ax.plot(support_k_cluster, K_cluster, label=\"Clustered\", lw=2)\n", "ax.set_xlabel(\"distance\")\n", "ax.set_ylabel(\"K(d)\")\n", "ax.set_title(\"Ripley's K function\")\n", "ax.legend()\n", "\n", "# L function\n", "ax = axes[1]\n", "ax.axhline(0.0, color=\"k\", ls=\"--\", lw=1, label=\"CSR expectation\")\n", "ax.plot(support_l_csr, L_csr, label=\"CSR\", lw=2)\n", "ax.plot(support_l_cluster, L_cluster, label=\"Clustered\", lw=2)\n", "ax.set_xlabel(\"distance\")\n", "ax.set_ylabel(\"L(d)\")\n", "ax.set_title(\"Ripley's L function (linearized)\")\n", "ax.legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5c171ed7", "metadata": {}, "source": [ "## 4. Simulation envelopes with `g_test` and `k_test`\n", "\n", "The functional API (`f`, `g`, `k`, `l`) gives a single curve for a given\n", "pattern. To assess whether this curve is consistent with CSR, `pointpats`\n", "provides test functions like `g_test` and `k_test` that:\n", "\n", "1. Simulate many CSR patterns in the same hull.\n", "2. Compute the statistic for each simulation.\n", "3. Return the observed statistic, the simulated statistics, and Monte Carlo\n", " p-values at each distance.\n", "\n", "We will apply `g_test` and `k_test` to the **clustered** pattern and visualize\n", "the simulation envelopes." ] }, { "cell_type": "code", "execution_count": 11, "id": "d74a1211", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((20,), (199, 20), (199, 20))" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_sims = 199\n", "\n", "g_cluster = g_test(\n", " coords_cluster,\n", " hull=hull,\n", " keep_simulations=True,\n", " n_simulations=n_sims,\n", ")\n", "\n", "k_cluster = k_test(\n", " coords_cluster,\n", " hull=hull,\n", " keep_simulations=True,\n", " n_simulations=n_sims,\n", ")\n", "\n", "g_cluster.support.shape, g_cluster.simulations.shape, k_cluster.simulations.shape" ] }, { "cell_type": "markdown", "id": "6c4128d8", "metadata": {}, "source": [ "### Helper: plotting simulation envelopes\n", "\n", "We define a small helper that takes a test result and produces a two-panel\n", "plot showing:\n", "\n", "- the observed function and a simulation envelope; and\n", "- the point pattern used in the test." ] }, { "cell_type": "code", "execution_count": 12, "id": "fcc769bd", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_envelope(test_result, coordinates, name=\"G\"):\n", " \"\"\"Plot simulation envelopes and the observed distance function.\n", "\n", " Parameters\n", " ----------\n", " test_result : namedtuple\n", " Result from g_test, k_test, etc. Must have attributes\n", " `support`, `statistic`, and `simulations`.\n", " coordinates : array-like of shape (n, 2)\n", " The point pattern being tested.\n", " name : str, default \"G\"\n", " Name of the statistic, used for labels and titles.\n", " \"\"\"\n", " support = test_result.support\n", " observed = test_result.statistic\n", " sims = test_result.simulations\n", "\n", " fig, axes = plt.subplots(\n", " 1,\n", " 2,\n", " figsize=(10, 3),\n", " gridspec_kw=dict(width_ratios=(2, 1)),\n", " )\n", "\n", " # Left: simulation envelope + observed\n", " ax = axes[0]\n", "\n", " # All simulations as faint lines\n", " ax.plot(support, sims.T, color=\"0.8\", alpha=0.1)\n", "\n", " # 95% envelope\n", " lower = np.percentile(sims, 2.5, axis=0)\n", " upper = np.percentile(sims, 97.5, axis=0)\n", " ax.fill_between(\n", " support,\n", " lower,\n", " upper,\n", " color=\"0.9\",\n", " alpha=0.7,\n", " label=\"95% envelope\",\n", " )\n", "\n", " # Observed\n", " ax.plot(support, observed, lw=2, label=\"observed\")\n", "\n", " ax.set_xlabel(\"distance\")\n", " ax.set_ylabel(f\"{name}(d)\")\n", " ax.set_title(f\"Ripley's {name} with CSR envelope\")\n", " ax.legend()\n", "\n", " # Right: the pattern itself\n", " ax = axes[1]\n", " coords = np.asarray(coordinates)\n", " ax.scatter(coords[:, 0], coords[:, 1], s=10, alpha=0.7)\n", " xmin, ymin, xmax, ymax = hull\n", " ax.set_xlim(xmin, xmax)\n", " ax.set_ylim(ymin, ymax)\n", " ax.set_xticks([])\n", " ax.set_yticks([])\n", " ax.set_aspect(\"equal\", adjustable=\"box\")\n", " ax.set_title(\"Pattern\")\n", "\n", " fig.tight_layout()\n", " plt.show()\n", "\n", "\n", "plot_envelope(g_cluster, coords_cluster, name=\"G\")" ] }, { "cell_type": "code", "execution_count": 13, "id": "0caf89eb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_envelope(k_cluster, coords_cluster, name=\"K\")" ] }, { "cell_type": "markdown", "id": "8039d778", "metadata": {}, "source": [ "In these plots, departures of the observed curve outside the simulation\n", "envelope indicate scales (distances) where the clustered pattern is unlikely\n", "to have arisen under CSR.\n", "\n", "For example, if the observed G curve lies above the envelope at short\n", "distances, that suggests an excess of close neighbors, consistent with\n", "clustering. If it lies below, that suggests inhibition or regular spacing.\n" ] }, { "cell_type": "markdown", "id": "36cefc61", "metadata": {}, "source": [ "## 5. Recap\n", "\n", "In this notebook, we have:\n", "\n", "- Constructed **CSR** and **clustered** point patterns in a simple\n", " rectangular window.\n", "- Used the functional API (`f`, `g`, `k`, `l`) to compute distance-based\n", " statistics directly from coordinate arrays.\n", "- Compared how **G**, **F**, **K**, and **L** respond to CSR vs clustering.\n", "- Used `g_test` and `k_test` to generate **simulation envelopes** under CSR\n", " and visualize departures from complete spatial randomness.\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": "3.14.2" } }, "nbformat": 4, "nbformat_minor": 5 }