{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Foraging locust with dynamical systems (interpretation)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are four notebooks on the dynamical systems analysis of the locust data, which should be read in the following order:\n", "\n", "- [locust_ds_data.ipynb](./locust_ds_data.ipynb)\n", "\n", "- [locust_ds_class.ipynb](./locust_ds_class.ipynb)\n", "\n", "- [locust_ds_validate.ipynb](./locust_ds_validate.ipynb)\n", "\n", "- [locust_ds_interpret.ipynb](./locust_ds_interpret.ipynb)\n", "\n", "\n", "In the notebook of this series, we briefly explain how the estimated parameters of the dynamical systems model are to be interpreted." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import os\n", "\n", "import dill\n", "import matplotlib.pyplot as plt\n", "import pyro\n", "import seaborn as sns\n", "\n", "pyro.settings.set(module_local_params=True)\n", "\n", "sns.set_style(\"white\")\n", "\n", "seed = 123\n", "pyro.clear_param_store()\n", "pyro.set_rng_seed(seed)\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "from collab.foraging import locust as lc\n", "from collab.utils import find_repo_root" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading inference samples\n" ] } ], "source": [ "locds = lc.LocustDS(\n", " data_code=\"15EQ20191202\",\n", " start=0,\n", " end=10,\n", ")\n", "\n", "locds.run_inference(\n", " \"length\",\n", " num_iterations=1500,\n", " num_samples=150,\n", " lr=0.001, # force=True, save=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Having run inference, we inspect the third \"wondering\" coefficient and the fourth \"attraction\" product coefficient. If this looks confusing, the notational conventions are discussed in `locust_ds_class.ipynb`. Just as a reminder, `w_feed` is the coefficient that captures those locusts that are searchers (neither moving around the edge, nor feeding) and move towards food (on the left or on the right) just by exploration:\n", "\n", "```python\n", "w_searchers_lf = w_feed * X[\"search_l\"]\n", "w_searchers_rf = w_feed * X[\"search_r\"]\n", "\n", "dX[\"search_l\"] = ... - w_searchers_lf ...\n", "dX[\"feed_l\"] = ... + w_searchers_lf ...\n", "```\n", "\n", "In contrast, `a_feed` is a product coefficient, used in more flux terms. It captures the attraction of edgers (left/right) towards the feeding units - these flux terms are used to move edgers towards the next available compartment between edgers and feeding, i.e. searchers.\n", "\n", "```python\n", "a_edgers_lf = a_feed * X[\"edge_l\"] * X[\"feed_l\"]\n", "a_edgers_rf = a_feed * X[\"edge_r\"] * X[\"feed_r\"]\n", "\n", "dX[\"search_l\"] = ... + a_edgers_lf ....\n", "dX[\"edge_l\"] = ... - - a_edgers_lf ...\n", "\n", "```\n", "\n", "It also is assumed to capture the attraction of searchers to feeding units:\n", "\n", "```python\n", "a_searchers_lf = a_feed * X[\"search_l\"] * X[\"feed_l\"]\n", "a_searchers_rf = a_feed * X[\"search_r\"] * X[\"feed_r\"]\n", "\n", "dx[\"search_l] = ... - a_searchers_lf ...\n", "dX[\"feed_l\"] = ... + a_searchers_lf ...\n", "```\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "locds.get_prior_samples(num_samples=150)\n", "locds.plot_param_estimates(3, 4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The key conceptual point here is that the `w_`-coefficients and the `a`-coefficients are not on the same scale. The former are ratios of origin compartments expected to depart at a time step, whereas to get an analogous ratio using an `a_`-coefficient, we need to first multiply it by the locust count at the target compartment. Here's a visualization of how such a ratio depends on the target compartment counts for a realistic range of values (1-9)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.plot_ds_interaction(locds.samples, \"attraction\", 4, xlim=10, num_lines=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another point we investigated was whether the estimated `a_feed` coefficient changes depending on the time window start, corresponding to the question of whether the locusts change their attraction to feeder throughout the experiment. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "data_code = \"15EQ20191202\"\n", "\n", "samples_a_feed_10 = []\n", "\n", "root = find_repo_root()\n", "data_path = os.path.join(root, f\"data/foraging/locust/ds/locust_samples_a_feed_10.pkl\")\n", "\n", "if os.path.exists(data_path):\n", " with open(data_path, \"rb\") as f:\n", " samples_a_feed_10 = dill.load(f)\n", "else:\n", " for start in [0, 30, 60, 90, 120, 150]:\n", " print(start)\n", " locds = lc.LocustDS(\n", " data_code=data_code,\n", " start=start,\n", " end=start + 10,\n", " )\n", "\n", " locds.run_inference(\"length\", num_iterations=1500, num_samples=150, lr=0.001)\n", " samples_a_feed_10.append(locds.samples[\"attraction\"][:, 4])\n", "\n", " with open(data_path, \"wb\") as f:\n", " dill.dump(samples_a_feed_10, f)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "start = [0, 30, 60, 90, 120, 150]\n", "\n", "fig, axs = plt.subplots(len(start), 1, figsize=(8, 6), sharex=True)\n", "\n", "for i, (s, tensor) in enumerate(zip(start, samples_a_feed_10)):\n", " axs[i].hist(tensor, bins=30, alpha=0.5, label=f\"start at {s}\")\n", " axs[i].set_ylabel(\"frequency\")\n", " axs[i].title.set_text(f\"start at {s}\")\n", " axs[i].set_xlim(0, 0.3)\n", "\n", "axs[-1].set_xlabel(\"$a_{feed}$\")\n", "plt.tight_layout()\n", "# plt.savefig(\"locust_a_feed_10_various_starts.png\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.11.10" } }, "nbformat": 4, "nbformat_minor": 2 }