{ "cells": [ { "cell_type": "markdown", "id": "add622f5-f3ca-45ca-8d4a-bb21c73e24bc", "metadata": {}, "source": [ "# Toy Example for `StratAge`" ] }, { "cell_type": "markdown", "id": "c5b1a08a-fda2-4b99-b352-a25814c68c27", "metadata": {}, "source": [ "This notebook presents the logic and operation of `StratAge` on an example with completely synthetic toy data." ] }, { "cell_type": "code", "execution_count": 1, "id": "b7dcb8aa-630a-4d45-b328-64afcaec6ee9", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import numpy as np\n", "from scipy import stats\n", "import arviz as az\n", "import pymc as pm\n", "\n", "import stratage\n", "from stratage.geochron import Geochron\n", "import pystrat\n", "\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "09d077da-93b3-4f3f-abb8-34fa469cd4b5", "metadata": {}, "source": [ "## Synthetic Stratigraphy" ] }, { "cell_type": "markdown", "id": "1f9681fb-89c6-4d70-99d7-c787c68cacd7", "metadata": {}, "source": [ "Here let's fabricate a synthetic stratigraphy with five units and three geochronologic constraints. We also construct an age model in the `times` array, which contains the bottom and top ages for each unit. This is the true age model that `StratAge` will recover probabilistically." ] }, { "cell_type": "code", "execution_count": 2, "id": "698c0c9e-7f1a-4d18-bd9f-139207b0a407", "metadata": {}, "outputs": [], "source": [ "units = np.array([[0, 1.5],\n", " [1.5, 2.2],\n", " [2.2, 2.7],\n", " [2.7, 3.4],\n", " [3.4, 4]])\n", "times = np.array([[0, 1.5],\n", " [2.3, 2.5],\n", " [3, 3.2],\n", " [3.6, 3.9],\n", " [4, 4.2]]) - 4.2\n", "\n", "n_units = units.shape[0]\n", "n_contacts = n_units - 1" ] }, { "cell_type": "markdown", "id": "2932765d-c8f5-4a84-bf32-e38fd277c012", "metadata": {}, "source": [ "Note that here we are using `pystrat` ([github](https://github.com/yuempark/pystrat)) for visualizing the example stratigraphy." ] }, { "cell_type": "code", "execution_count": 3, "id": "79f97641-edb1-4302-a2a7-45447f2db166", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "thicknesses = np.diff(units, axis=1).squeeze()\n", "facies = np.array(['sand'] * len(thicknesses))\n", "\n", "style = pystrat.Style(np.array(['sand']), \n", " np.array([[252, 193, 130]])/255, \n", " np.array([1]))\n", "section = pystrat.Section(thicknesses, facies)\n", "section.shift_heights(np.min(units[0])) # make same y axis as heights\n", "\n", "fig = plt.figure(figsize=(0.5, 3))\n", "heights_ylim = [np.min(units[:, 0]), np.max(units[:, 1])]\n", "ax = plt.axes(ylim=heights_ylim)\n", "section.plot(style, ax=ax)\n", "ax.set_ylabel('Height (cm)')\n", "ax.set_xticks([])\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1d2ede29-7039-4c12-af42-12bbb3a2b463", "metadata": {}, "source": [ "## Synthetic Geochronology" ] }, { "cell_type": "markdown", "id": "b54c3d85-e961-4a13-ab9f-d7ee142f6453", "metadata": {}, "source": [ "Create some temporal constraints within the core. Let's just put one at the top and bottom, and then randomly distribute some throughout." ] }, { "cell_type": "markdown", "id": "ac4d81ea-5725-4567-8571-8f490f02a23a", "metadata": {}, "source": [ "For now, let's assume a constant uncertainty in temporal constraints. The \"mean\" values in time for each constraint will be sampled from normal distributions centered on the true values and with the same uncertainty specified below." ] }, { "cell_type": "code", "execution_count": 4, "id": "5afd8ebe-23ef-4e26-a1c7-b8903e36251a", "metadata": {}, "outputs": [], "source": [ "# temporal uncertainty\n", "sig_t = 0.15\n", "\n", "# number of constraints to include\n", "n_constraints = 3" ] }, { "cell_type": "code", "execution_count": 5, "id": "e141022d-f6f2-4d7b-9b05-912f7f1b12fa", "metadata": {}, "outputs": [], "source": [ "constraint_rvs = []\n", "constraint_heights = []\n", "\n", "# bottom (within first unit)\n", "constraint_rvs.append(stats.norm(loc=stats.norm.rvs(loc=times[0, 0], scale=sig_t), scale=sig_t))\n", "constraint_heights.append(0.1)\n", " \n", "# top (within top unit)\n", "constraint_rvs.append(stats.norm(loc=stats.norm.rvs(loc=times[-1, 1], scale=sig_t), scale=sig_t))\n", "constraint_heights.append(3.9)\n", "\n", "# 3rd constraint in middle\n", "constraint_rvs.append(stats.norm(loc=stats.norm.rvs(loc=times[2, 1], scale=sig_t), scale=sig_t))\n", "constraint_heights.append(2.5)" ] }, { "cell_type": "markdown", "id": "1a8ed769-cc97-45a8-8fcd-8f101bea8405", "metadata": {}, "source": [ "Now visualize the true age model alongside the constraints and the experimental stratigraphy." ] }, { "cell_type": "code", "execution_count": 6, "id": "a39a1988-75ce-41a6-b7e6-964b45d95bd1", "metadata": {}, "outputs": [], "source": [ "t_plot = np.linspace(np.min(times) - 3*sig_t, np.max(times) + 3*sig_t, 400)\n", "\n", "# true age model\n", "t_true, z = stratage.age_depth(units, times)\n", "# parameters for plotting pdfs\n", "tol = 3\n", "scale = 0.75" ] }, { "cell_type": "code", "execution_count": 7, "id": "c1681c4c-59ee-46fc-94e3-4f9edab4a47a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, width_ratios=[1, 5], figsize=(5,4), sharey=True)\n", "\n", "h = []\n", "lab = []\n", "\n", "ax[0].set_ylim([heights_ylim[0]-0.5, heights_ylim[1]+scale])\n", "section.plot(style, ax=ax[0])\n", "ax[0].set_xticks([])\n", "ax[0].set_ylim([0, np.max(z)+scale])\n", "ax[0].set_ylabel('Height')\n", "\n", "cur_h = ax[1].plot(t_true, z, label='True age model', color='k', linewidth=2)[0]\n", "h.append(cur_h)\n", "lab.append('True age model')\n", "\n", "for ii in range(n_constraints):\n", " cur_pdf = constraint_rvs[ii].pdf(t_plot)\n", " # only plot the part of the pdf that matters\n", " idx_pdf = np.log10(cur_pdf) > (np.max(np.log10(cur_pdf)) - tol)\n", " \n", " # scale it to be visible\n", " pdf_scale = scale/(np.max(cur_pdf[idx_pdf]) - np.min(cur_pdf[idx_pdf]))\n", " cur_pdf = constraint_heights[ii] + pdf_scale * cur_pdf\n", " \n", " cur_h = ax[1].fill_between(t_plot[idx_pdf], \n", " cur_pdf[idx_pdf],\n", " constraint_heights[ii],\n", " linewidth=1,\n", " alpha=0.7,\n", " color='lightgrey',\n", " label='Geochronology')\n", "h.append(cur_h)\n", "lab.append('Geochronology')\n", "\n", "ax[1].grid()\n", "ax[1].set_xlabel('Time')\n", "ax[1].legend(h, lab)\n", "ax[1].set_title('Schematic example')\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "df82ea27-189c-4281-b5ff-5ddbe7b594c0", "metadata": {}, "source": [ ":::{important}\n", "Geochronologic constraints must occur within units and not on contacts. Because hiatus exists at contacts, there would be ambiguity as to whether the constraint dates the \"top\" or \"bottom\" of the hiatus. \n", ":::" ] }, { "cell_type": "markdown", "id": "c986e127-ed91-446a-b4e8-cbf5b9853fb2", "metadata": {}, "source": [ "We can use `stratage.geochron_height_check()` to ensure that the provided geochronologic constraints occur within the provided units and not on contacts. If nothing is returned, then we're good to go!" ] }, { "cell_type": "code", "execution_count": 8, "id": "71a2a28b-3d8b-4ff3-87f6-426cb1aaa540", "metadata": {}, "outputs": [], "source": [ "stratage.geochron_height_check(units, constraint_heights)" ] }, { "cell_type": "markdown", "id": "dab1fc69-c5ae-4237-a309-b28c67002f96", "metadata": {}, "source": [ "For now, age models can only be constructed in between the outermost geochronologic constraints. The upper and lower most units must therefore be \"trimmed\" such that the provided constraints bookend the entire stratigraphy perfectly.\n", "\n", "The `stratage.trim_units()` function performs this trimming, which is plotted below, comparing the original stratigraphy on the left with the trimmed stratigraphy on the right." ] }, { "cell_type": "code", "execution_count": 9, "id": "da6e4b76-0460-4b53-8137-f834847ff1cd", "metadata": {}, "outputs": [], "source": [ "units_trim = stratage.trim_units(units, constraint_heights)" ] }, { "cell_type": "code", "execution_count": 10, "id": "159c2089-93aa-4cca-8421-c44c5b15fa02", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "thicknesses_trim = np.diff(units_trim, axis=1).squeeze()\n", "\n", "section_trim = pystrat.Section(thicknesses_trim, facies)\n", "section_trim.shift_heights(np.min(units_trim[0])) # make same y axis as heights\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(1.5, 3), sharey=True)\n", "ax[0].set_ylim(heights_ylim)\n", "section.plot(style, ax=ax[0])\n", "ax[0].set_ylabel('Height (cm)')\n", "ax[0].set_xticks([])\n", "\n", "section_trim.plot(style, ax=ax[1])\n", "ax[1].set_xticks([])\n", "ax[1].set_ylabel('')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "154894cf-f507-4183-90b9-7f80337205f5", "metadata": {}, "source": [ "## The `stratage.Geochron` Class" ] }, { "cell_type": "markdown", "id": "85e1c861-474d-4ed5-b84f-7ee5dd5e75f0", "metadata": {}, "source": [ "The `Geochron` object constructed below contains the geochronologic constraints and their heights. It requires representation of the constraints as random variables with a `scipy.stats.distribution`-like signature; minimally providing `.pdf()`, `.cdf()`, and `.ppf()` methods. The way we defined the constraints above will work perfectly.\n", "\n", "Instantiation of the `Geochron` object creates a time increment distribution for pairs of geochronologic constraints. Each time increment distribution encodes the probability density of elapsed time between the given pair of constraints. At this time, `Geochron` can create time increment distributions for all pairs of constraints (`StratAge.Geochron(neighbors='all')`), or it can create pairs a specified number of neighboring constraints (`StratAge.Geochron(neighbors=int)`). Using all pairs can dramatically increase run time; using a subset of neighboring pairs runs much faster and can yield similar results. In this case, with only three constraints and such a simple stratigraphy, the choice makes little difference.\n", "\n", "For various reasons, the time increment distributions are evaluated numerically. The temporal resolution of the time increment distributions is set by two parameters: `nt` and `ndt`. The `nt` parameter specifies how many points to use in the evaluation of each constraint's probability density, and the `ndt` parameter specifies how many points to use in the evaluation of the time increment distribution between two constraints (this evaluation uses the constraint probability densities). \n", "\n", "Larger values create finer grids, but require longer computation, especially for larger numbers of constraints." ] }, { "cell_type": "code", "execution_count": 25, "id": "ec8619d8-d948-479b-9c2e-7721fc8065b7", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "217878d50bc540a4ac4198b11947ea86", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Constructing time increment pdfs: 0%| | 0/3 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = geochron.plot_increment_pdfs()" ] }, { "cell_type": "markdown", "id": "4c1e773f-ba06-42a1-9aa4-51774d7aa264", "metadata": {}, "source": [ "## Least Squares Age-Depth Modeling" ] }, { "cell_type": "markdown", "id": "8e46a9ba-d000-4000-a013-51b7068f80ec", "metadata": {}, "source": [ "The `geochron.model_weights()` function generates the weights for units and contacts for each pair of constraints. These weights identify which contacts and units occur within a given pair of constraints. \n", "\n", "For contacts, the weights $\\beta$ are either 0 or 1, because contacts cannot be partially bound by constraints.\n", "\n", "For units, the weights $\\alpha$ range from 0 to the thickness of the unit. A value equal to the thickness of the unit means that the given unit is completely bounded by a pair of constraints, i.e., no geochronologic constraint occurs within that unit. A value between 0 and the thickness of the unit means that for the given pair of constraints, one occurs within the unit, and the value of the weight quantifies the proportion of the unit that is bound between the constraints. This approach assumes a constant sedimentation rate for the portion of the unit that is partially bound by a constraint." ] }, { "cell_type": "code", "execution_count": 27, "id": "e94872f6-fc60-49e0-a9ab-85d4dce1d9df", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "alpha:\n", "[[1.4 0.7 0.3 0. 0. ]\n", " [1.4 0.7 0.5 0.7 0.5]\n", " [0. 0. 0.2 0.7 0.5]]\n", "beta:\n", "[[1. 1. 0. 0.]\n", " [1. 1. 1. 1.]\n", " [0. 0. 1. 1.]]\n" ] } ], "source": [ "alpha, beta = geochron.model_weights(units_trim)\n", "\n", "print(f'alpha:\\n{alpha.T}\\nbeta:\\n{beta.T}')" ] }, { "cell_type": "markdown", "id": "94549685-856f-4ef3-bd5f-a2eb18d1c44a", "metadata": {}, "source": [ "The values of $\\alpha$ and $\\beta$ form arrays that define a linear system with respect to time increments:\n", "\n", "\\begin{align}\n", "\\Delta \\mathbf{T} &= \\alpha\\,\\mathbf{v}^{-1} + \\beta\\,\\mathbf{t} \\\\\n", " &= \\begin{bmatrix}\\alpha & \\beta\\end{bmatrix}\\,\\begin{bmatrix} \\mathbf{v}^{-1} \\\\ \\mathbf{t} \\end{bmatrix} \\\\\n", " &= \\mathbf{A}\\,\\mathbf{m}\n", "\\end{align}\n", "\n", "where $\\Delta \\mathbf{T}$ are the mean time increment values, $\\mathbf{v}^{-1}$ is $1/v_{i}$ where $v_{i}$ is the sedimentation rate for each bed, and $\\mathbf{t}$ are the hiatus durations between all beds.\n", "\n", "As shown above, $\\alpha$ and $\\beta$ can be concatenated to form $\\mathbf{A}$, and the system can be inverted via conventional least squares to solve for sedimentation rates $\\mathbf{v}$ and hiatuses $\\mathbf{t}$." ] }, { "cell_type": "markdown", "id": "bf8790d8-8ea3-493c-af2e-03fac1e35904", "metadata": {}, "source": [ "The `stratage.model_ls()` function performs this least squares inversion for the given units and geochronology. \n", "\n", "This function returns least squares estimates for sedimentation rates and hiatuses, but together these only constitute a floating age model. To anchor the age model with the given geochronology, we can use `stratage.fit_floating_model()`, which returns an array of the best fittings absolute ages (`times_bdls`) for each height in `units_trim`, given the geochronology and modeled sedimentation rates and hiatuses." ] }, { "cell_type": "code", "execution_count": 28, "id": "39f8acfc-1697-4739-b38c-7e42e38588f4", "metadata": {}, "outputs": [], "source": [ "sed_rates_ls, hiatuses_ls = stratage.model_ls(units_trim, geochron)\n", "\n", "# fit to constraints\n", "times_bdls = stratage.fit_floating_model(sed_rates_ls, \n", " hiatuses_ls, \n", " units_trim, \n", " geochron)\n", "t_bdls, z_bdls = stratage.age_depth(units_trim, times_bdls)" ] }, { "cell_type": "markdown", "id": "0db11bc9-d031-4adf-ada6-466f2ef439f2", "metadata": {}, "source": [ "Finally, we converted the paired `units_trim` and `times_bdls` arrays into a more straightforward pair of age-depth sequences using `stratage.age_depth()`.\n", "\n", "Now, we can plot the least squares age-depth model alongside the true model and the geochronology.\n", "\n", ":::{tip}\n", "Now that we have created the `Geochron` object, we can use the `Geochron.plot_constraints()` function to facilitate plotting the probability density functions for the contraints in an age-depth space.\n", ":::" ] }, { "cell_type": "code", "execution_count": 33, "id": "21e33047-8df1-407c-985d-d59fa7de951b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_plot = np.linspace(np.min(times) - 3*sig_t, np.max(times) + 3*sig_t, 400)\n", "\n", "# true age model\n", "t_true, z = stratage.age_depth(units, times)\n", "# parameters for plotting pdfs\n", "tol = 3\n", "scale = 0.75\n", "\n", "fig, ax = plt.subplots(1, 2, width_ratios=[1, 5], figsize=(6,5), sharey=True)\n", "\n", "ax[0].set_ylim([heights_ylim[0]-0.5, heights_ylim[1]+scale])\n", "section.plot(style, ax=ax[0])\n", "ax[0].set_xticks([])\n", "ax[0].set_ylabel('Height')\n", "ax[0].set_ylim([0, np.max(z)+scale])\n", "\n", "ax[1].plot(t_true, z, label='True age model')\n", "ax[1].plot(t_bdls, z_bdls, label='Least squares age model')\n", "\n", "geochron.plot_constraints(ax=ax[1], scale=scale)\n", "\n", "ax[1].grid()\n", "ax[1].set_xlabel('Time')\n", "ax[1].set_title('Synthetic constraints on true age model')\n", "ax[1].legend()\n", "\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "50fa07d4-d8f3-4534-85e8-19e3bc0d5046", "metadata": {}, "source": [ "The least-squares model generates a reasonable age model that passes through the maximum likelihood values of the geochronologic constraints. `StratAge` uses the least squares solution as the initial model for the Markov Chain sampling." ] }, { "cell_type": "markdown", "id": "53808684-85f7-4e8b-b051-4c2221c99b4a", "metadata": {}, "source": [ "## `StratAge.AgeModel` Bayesian Sampling" ] }, { "cell_type": "markdown", "id": "5b5c7b4a-de62-464f-b9e9-90742450a86d", "metadata": {}, "source": [ "To set up the Bayesian model, we must specify prior distributions over sedimentation rates and hiatus durations. These distributions must be defined as functions that have the signature that is expected for the `dist` argument in [`pymc.CustomDist(dist=dist)`](https://www.pymc.io/projects/docs/en/v5.14.0/api/distributions/generated/pymc.CustomDist.html), i.e. a signature of `dist(*dist_params, size)`. At this time, `StrageAge` cannot sample from hierarchical priors, meaning that prior distributions cannot require any `dist_params`. Therefore, the expected signature for prior distributions is just `prior(size)`.\n", "\n", "Below, we use a log-normal prior over sedimentation rates, with a sigma of 1.2. We use a log-uniform prior over hiatus durations, ranging from 0.1 to 10. Notice that we are using `PyMC` distributions; any of the `PyMC` distributions should work analagously to what is shown below." ] }, { "cell_type": "code", "execution_count": 34, "id": "a06d8000-fc99-422e-8577-e7759bdc5588", "metadata": {}, "outputs": [], "source": [ "# all units have same sed rate prior\n", "sed_rate_sigma = 1.2*np.ones(n_units)\n", "\n", "def sed_rates_prior_fn(size):\n", " return pm.LogNormal.dist(sigma=sed_rate_sigma, size=size)\n", "\n", "def hiatuses_prior_fn(size):\n", " return 10**pm.Uniform.dist(lower=-1, upper=1, size=size)" ] }, { "cell_type": "markdown", "id": "57786566-5b6a-4781-a64a-6bc6e544dbd9", "metadata": {}, "source": [ ":::{note}\n", "If you wanted to have different parameter values for the priors on different beds or contacts, then you would just need to specify parameter arrays accordingly. For example, if we wanted the first bed to have a narrower prior distribution of sedimentation rates, we could have defined `sed_rate_sigma` as follows:\n", "```python\n", "sed_rate_sigma = 1.2*np.ones(n_units)\n", "sed_rate_sigma[0] = 0.5\n", "```\n", ":::" ] }, { "cell_type": "markdown", "id": "842cbf13-0a01-41cb-a79a-2e9ea1f7e3ff", "metadata": {}, "source": [ "Now that we have both prior distributions and the `Geochron` object with the probabilistic geochronologic constraints, we can instantiate the `stratage.AgeModel` class." ] }, { "cell_type": "code", "execution_count": 35, "id": "12d0d4a1-7db3-45d6-a060-4cde6160e0fa", "metadata": {}, "outputs": [], "source": [ "agemodel = stratage.AgeModel(units, geochron, sed_rates_prior_fn, hiatuses_prior_fn)" ] }, { "cell_type": "markdown", "id": "473edad3-155e-4691-8f3e-972fe29c5242", "metadata": {}, "source": [ "This class creates an object with a `pymc.Model` as an attribute, which we can visualize." ] }, { "cell_type": "code", "execution_count": 36, "id": "2ada2195-3eea-4906-96fc-e5f3590692b4", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "clusterunits (5)\n", "\n", "units (5)\n", "\n", "\n", "clustercontacts (4)\n", "\n", "contacts (4)\n", "\n", "\n", "cluster3\n", "\n", "3\n", "\n", "\n", "\n", "sed_rates\n", "\n", "sed_rates\n", "~\n", "CustomDist_sed_rates\n", "\n", "\n", "\n", "likelihood\n", "\n", "likelihood\n", "~\n", "CustomDist_likelihood\n", "\n", "\n", "\n", "sed_rates->likelihood\n", "\n", "\n", "\n", "\n", "\n", "hiatuses\n", "\n", "hiatuses\n", "~\n", "CustomDist_hiatuses\n", "\n", "\n", "\n", "hiatuses->likelihood\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.model_to_graphviz(agemodel.model)" ] }, { "cell_type": "markdown", "id": "be1346d0-c2e6-4955-ae6d-848955d8dc45", "metadata": {}, "source": [ "The model visualization shows that we have a random variable of sedimentation rates with a length of 5 and a random variable of hiatuses with a length of 4. The coordinates for these random variables are named \"units\" and \"contacts,\" and the sizes make sense with our simple stratigraphy that has 5 units and 4 contacts. We also see that these random varialbes are sampled according to `CustomDist` distributions, which correspond to the priors we defined above.\n", "\n", "These random variables feed into a likelihood, which has a length of 3. This size reflects the 3 time increment distributions from the 3 combinations of geochronologic constraints, which were plotted above. The likelihood is based on the time increment distributions from the 3 pairs of constraints, defining the `CustomDist_likelihood` in the diagram above. " ] }, { "cell_type": "markdown", "id": "3ee6f9db-95d9-43b5-aa02-2dbf1af0c578", "metadata": {}, "source": [ "With the model defined above, we can use all the helpful and robust `PyMC` sampling tools. For example, we can sample from the prior distributions on sedimentation rates and hiatuses to see what sort of age models we would get." ] }, { "cell_type": "code", "execution_count": 37, "id": "433a59d3-78fa-4155-9c10-28cc698cf32e", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: [hiatuses, likelihood, sed_rates]\n" ] } ], "source": [ "times_prior = agemodel.sample_prior(draws=100)" ] }, { "cell_type": "code", "execution_count": 20, "id": "e6b5b567-39af-49a4-9ed2-14a87510d205", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# true age model\n", "t_true, z_true = stratage.age_depth(units, times)\n", "# parameters for plotting pdfs\n", "tol = 3\n", "scale = 1\n", "\n", "fig = plt.figure(figsize=(6,5))\n", "ax = plt.axes()\n", "\n", "# true age model and constraints\n", "geochron.plot_constraints(ax=ax)\n", "ax.plot(t_true, z_true, label='true age model', linewidth=2, color='k')\n", "\n", "# prior predictive models\n", "for ii in range(len(times_prior)):\n", " cur_t, cur_z = stratage.age_depth(units_trim, times_prior[ii])\n", " plt.plot(cur_t, cur_z, color='gray', linewidth=0.5, alpha=0.5)\n", "\n", "ax.grid()\n", "ax.set_xlabel('Time')\n", "ax.set_ylabel('Height')\n", "ax.set_title('Prior predictive age models')\n", "\n", "ax.set_xlim([-4.5, 1])\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a312e7df-f69c-4fc0-a14c-329dd05073d6", "metadata": {}, "source": [ "The prior predictive models are not very good, as we can see in the figure above." ] }, { "cell_type": "markdown", "id": "9383e392-8d15-406c-8605-917c1bd7bf3c", "metadata": {}, "source": [ "Let's now actually sample the Bayesian age model. We do so by invoking `stratage.AgeModel.sample()`, which accepts keyword arguments that are passed to `pymc.sample()`.\n", "\n", "At this time, sampling is restricted to the conventional Metropolis sampler." ] }, { "cell_type": "code", "execution_count": 38, "id": "5d39b04b-941e-4e6b-b99d-4854b73db99d", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Multiprocess sampling (4 chains in 4 jobs)\n", "CompoundStep\n", ">Metropolis: [sed_rates]\n", ">Metropolis: [hiatuses]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "fa03a8f9a6604b5c8c40efadb494bde3", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 2_000 tune and 5_000 draw iterations (8_000 + 20_000 draws total) took 83 seconds.\n",
      "The rhat statistic is larger than 1.01 for some parameters. This indicates problems during sampling. See https://arxiv.org/abs/1903.08008 for details\n",
      "The effective sample size per chain is smaller than 100 for some parameters.  A higher number is needed for reliable rhat and ess computation. See https://arxiv.org/abs/1903.08008 for details\n"
     ]
    }
   ],
   "source": [
    "draws = 5000\n",
    "tune = 2000\n",
    "n_chains = 4\n",
    "\n",
    "trace = agemodel.sample(draws=draws, tune=tune, chains=n_chains)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39e363ac-6d03-476e-828a-e3c69e8f4a6c",
   "metadata": {},
   "source": [
    "We can use `arviz` to tabulate and plot helpful diagnostics for the chains that we sampled above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "a94de620-fbc5-4191-9c89-f74a9e7e482a",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[autoreload of cutils_ext failed: Traceback (most recent call last):\n",
      "  File \"c:\\Users\\XPS\\miniforge3\\Lib\\site-packages\\IPython\\extensions\\autoreload.py\", line 276, in check\n",
      "    superreload(m, reload, self.old_objects)\n",
      "  File \"c:\\Users\\XPS\\miniforge3\\Lib\\site-packages\\IPython\\extensions\\autoreload.py\", line 475, in superreload\n",
      "    module = reload(module)\n",
      "             ^^^^^^^^^^^^^^\n",
      "  File \"c:\\Users\\XPS\\miniforge3\\Lib\\importlib\\__init__.py\", line 130, in reload\n",
      "    raise ModuleNotFoundError(f\"spec not found for the module {name!r}\", name=name)\n",
      "ModuleNotFoundError: spec not found for the module 'cutils_ext'\n",
      "]\n"
     ]
    },
    {
     "data": {
      "application/vnd.microsoft.datawrangler.viewer.v0+json": {
       "columns": [
        {
         "name": "index",
         "rawType": "object",
         "type": "string"
        },
        {
         "name": "mean",
         "rawType": "float64",
         "type": "float"
        },
        {
         "name": "sd",
         "rawType": "float64",
         "type": "float"
        },
        {
         "name": "hdi_3%",
         "rawType": "float64",
         "type": "float"
        },
        {
         "name": "hdi_97%",
         "rawType": "float64",
         "type": "float"
        },
        {
         "name": "mcse_mean",
         "rawType": "float64",
         "type": "float"
        },
        {
         "name": "mcse_sd",
         "rawType": "float64",
         "type": "float"
        },
        {
         "name": "ess_bulk",
         "rawType": "float64",
         "type": "float"
        },
        {
         "name": "ess_tail",
         "rawType": "float64",
         "type": "float"
        },
        {
         "name": "r_hat",
         "rawType": "float64",
         "type": "float"
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       ],
       "conversionMethod": "pd.DataFrame",
       "ref": "019385dd-78de-4f85-b7c9-6b22ac235a6b",
       "rows": [
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         "sed_rates[0]",
         "3.108",
         "2.847",
         "0.616",
         "7.667",
         "0.23",
         "0.163",
         "53.0",
         "29.0",
         "1.07"
        ],
        [
         "sed_rates[1]",
         "1.698",
         "1.88",
         "0.351",
         "5.053",
         "0.16",
         "0.113",
         "59.0",
         "74.0",
         "1.03"
        ],
        [
         "sed_rates[2]",
         "4.302",
         "7.592",
         "0.3",
         "11.833",
         "0.853",
         "0.617",
         "152.0",
         "111.0",
         "1.02"
        ],
        [
         "sed_rates[3]",
         "6.889",
         "12.806",
         "1.021",
         "15.78",
         "1.455",
         "1.033",
         "273.0",
         "157.0",
         "1.02"
        ],
        [
         "sed_rates[4]",
         "5.14",
         "5.354",
         "0.744",
         "14.158",
         "0.303",
         "0.225",
         "511.0",
         "457.0",
         "1.01"
        ],
        [
         "hiatuses[0]",
         "0.516",
         "0.406",
         "0.1",
         "1.328",
         "0.043",
         "0.031",
         "105.0",
         "150.0",
         "1.03"
        ],
        [
         "hiatuses[1]",
         "0.567",
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         "0.1",
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         "42.0",
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        ],
        [
         "hiatuses[2]",
         "0.207",
         "0.101",
         "0.1",
         "0.402",
         "0.003",
         "0.002",
         "1207.0",
         "1022.0",
         "1.0"
        ],
        [
         "hiatuses[3]",
         "0.204",
         "0.101",
         "0.1",
         "0.392",
         "0.003",
         "0.002",
         "1123.0",
         "1212.0",
         "1.0"
        ]
       ],
       "shape": {
        "columns": 9,
        "rows": 9
       }
      },
      "text/html": [
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
sed_rates[0]3.1082.8470.6167.6670.2300.16353.029.01.07
sed_rates[1]1.6981.8800.3515.0530.1600.11359.074.01.03
sed_rates[2]4.3027.5920.30011.8330.8530.617152.0111.01.02
sed_rates[3]6.88912.8061.02115.7801.4551.033273.0157.01.02
sed_rates[4]5.1405.3540.74414.1580.3030.225511.0457.01.01
hiatuses[0]0.5160.4060.1001.3280.0430.031105.0150.01.03
hiatuses[1]0.5670.4520.1001.4450.0680.04842.0177.01.08
hiatuses[2]0.2070.1010.1000.4020.0030.0021207.01022.01.00
hiatuses[3]0.2040.1010.1000.3920.0030.0021123.01212.01.00
\n", "
" ], "text/plain": [ " mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\n", "sed_rates[0] 3.108 2.847 0.616 7.667 0.230 0.163 53.0 \n", "sed_rates[1] 1.698 1.880 0.351 5.053 0.160 0.113 59.0 \n", "sed_rates[2] 4.302 7.592 0.300 11.833 0.853 0.617 152.0 \n", "sed_rates[3] 6.889 12.806 1.021 15.780 1.455 1.033 273.0 \n", "sed_rates[4] 5.140 5.354 0.744 14.158 0.303 0.225 511.0 \n", "hiatuses[0] 0.516 0.406 0.100 1.328 0.043 0.031 105.0 \n", "hiatuses[1] 0.567 0.452 0.100 1.445 0.068 0.048 42.0 \n", "hiatuses[2] 0.207 0.101 0.100 0.402 0.003 0.002 1207.0 \n", "hiatuses[3] 0.204 0.101 0.100 0.392 0.003 0.002 1123.0 \n", "\n", " ess_tail r_hat \n", "sed_rates[0] 29.0 1.07 \n", "sed_rates[1] 74.0 1.03 \n", "sed_rates[2] 111.0 1.02 \n", "sed_rates[3] 157.0 1.02 \n", "sed_rates[4] 457.0 1.01 \n", "hiatuses[0] 150.0 1.03 \n", "hiatuses[1] 177.0 1.08 \n", "hiatuses[2] 1022.0 1.00 \n", "hiatuses[3] 1212.0 1.00 " ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.summary(trace)" ] }, { "cell_type": "code", "execution_count": 40, "id": "6abf2dac-90b3-47ff-be31-db999efb7ced", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_trace(trace)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0789919b-e102-4ce7-8ed8-366dd6f14182", "metadata": {}, "source": [ "## Generating age models" ] }, { "cell_type": "markdown", "id": "386cb41c-67e4-486b-8d91-fe0f4c324937", "metadata": {}, "source": [ "`StratAge.AgeModel` implements a Bayesian model to generate samples of sedimentation rates and hiatuses, but, as mentioned above, these only yield floating age models by themselves. Sedimentation rates and hiatuses in the trace generated by the PyMC sampling can be aligned to the geochronology using the `StratAge.AgeModel.trace2ages()` function. \n", "\n", "This function returns posterior ages at requested stratigraphic heights. Note that this can take some time but is easily parallelized, so you can increase the `n_jobs` parameter to use more processes for large traces." ] }, { "cell_type": "code", "execution_count": 41, "id": "da7b9dab-e66b-4eae-b39e-49fd7e1ec693", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "14aba08e6bc541bbb2da5c6da92d8e08", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Anchoring floating age models: 0%| | 0/10000 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# true age model\n", "t_true, z_true = stratage.age_depth(units, times)\n", "# parameters for plotting pdfs\n", "tol = 3\n", "scale = 1\n", "\n", "fig = plt.figure(figsize=(6,5))\n", "ax = plt.axes()\n", "\n", "# posterior predictive models\n", "ax.fill_betweenx(h, ci_95[0, :], ci_95[1, :], facecolor='gainsboro')\n", "ax.fill_betweenx(h, ci_68[0, :], ci_68[1, :], facecolor='darkgrey')\n", "\n", "# true age model and constraints\n", "geochron.plot_constraints(ax=ax, fillstyle={'facecolor':'bisque', 'alpha':0.5})\n", "ax.plot(t_true, z_true, label='true age model', linewidth=2, color='k')\n", "\n", "ax.grid()\n", "ax.set_xlabel('Time')\n", "ax.set_ylabel('Height')\n", "ax.set_title('Synthetic constraints on true age model')\n", "\n", "ax.set_xlim([-5, 1])\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5e1eaa2f-bad2-4cf5-89e7-7411e7c5360d", "metadata": {}, "source": [ "Here we can see how the structure of the posterior age model is distinctly different from existing age modeling approaches. The envelope shows \"jumpiness\" that reflects the possibility of hiatus at bedding contacts. We see that the true age model is solidly within the 95% credible interval, which is great. We can also see that the posterior distribution in absolute time for the middle geochronologic constraint is reduced compared to it's reported uncertainty. This reflects the incorporation of the prior information about sedimentation rates and hiatus durations, as well as stratigraphic superposition. " ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.12.8" } }, "nbformat": 4, "nbformat_minor": 5 }