{ "cells": [ { "cell_type": "markdown", "id": "10c38013", "metadata": {}, "source": [ "# Forcing — Time-Varying Inputs\n", "\n", "**Author:** Jordan Landers \n", "**Date:** last-modified\n", "\n", "_Description:_ Four construction patterns (callable, array, `Hold`/`Ramp`/`Harmonic` elements, bundled datasets); attachment modes (replacement, additive); timing (pre, post); noise and SDE integration\n", "\n", "_Abstract_\n", "\n", "> `cc.Forcing` is the unified interface for all time-varying inputs in ClimateCritters. This notebook covers every construction pattern — callable functions, array+time pairs, composable `Hold`/`Ramp`/`Harmonic` elements, and bundled CSV datasets — along with attachment options, timing control, and guidance on using forcing with SDE solvers.\n", "\n", "**Keywords:** Forcing, Hold, Ramp, Harmonic, register_forcing, attachment_style, timing, callable, interpolation, SDE" ] }, { "cell_type": "code", "execution_count": 17, "id": "716ec1f2", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import climatecritters as cc" ] }, { "cell_type": "markdown", "id": "7ef79967", "metadata": {}, "source": [ "## Construction patterns" ] }, { "cell_type": "markdown", "id": "81bf2727", "metadata": {}, "source": [ "### 1. Callable\n", "\n", "Any function of time `t`. No pre-processing, no interpolation overhead.\n", "The simplest way to express analytical signals." ] }, { "cell_type": "code", "execution_count": 18, "id": "787ac703", "metadata": {}, "outputs": [], "source": [ "# Any Python callable works — constant, polynomial, sinusoidal, etc.\n", "f_const = cc.Forcing(lambda t: 1.0)\n", "f_linear = cc.Forcing(lambda t: 0.01 * t)\n", "f_sin = cc.Forcing(lambda t: np.sin(2 * np.pi * t / 10.0))" ] }, { "cell_type": "code", "execution_count": 19, "id": "9f583c36", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(12, 3))\n", "for ax, f, label in zip(axes,\n", " [f_const, f_linear, f_sin],\n", " [\"constant\", \"linear\", \"sinusoidal\"]):\n", " f.plot(t_span=(0, 50), ax=ax)\n", " ax.set_title(label); ax.set_xlabel(\"time\")\n", "plt.suptitle(\"Callable forcings\", y=1.02)\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "1e6c2ae4", "metadata": {}, "source": [ "### 2. Array + time axis\n", "\n", "Interpolated from a data array and a matching time axis. Default interpolation is cubic spline; pass `interpolation=\"linear\"` for piecewise linear. Useful for wrapping proxy records, reanalysis output, or any pre-computed time series." ] }, { "cell_type": "code", "execution_count": null, "id": "15c08a6b", "metadata": {}, "outputs": [], "source": "# Sparse data record (e.g. a proxy reconstruction at irregular time points)\nt_data = np.array([ 0., 10., 20., 30., 40., 50.])\nv_data = np.array([ 0., 1., 0.5, 2., 1., 0.])\n\nf_cubic = cc.Forcing(data=v_data, time=t_data,\n plot_kwargs={'color': 'steelblue', 'label': 'cubic spline'})\nf_linear = cc.Forcing(data=v_data, time=t_data, interpolation=\"linear\",\n plot_kwargs={'color': 'firebrick', 'linestyle': '--', 'label': 'linear interp'})" }, { "cell_type": "code", "execution_count": null, "id": "c6cf2013", "metadata": {}, "outputs": [], "source": "fig, ax = plt.subplots(figsize=(8, 3))\nax.scatter(t_data, v_data, color=\"k\", zorder=3, label=\"data points\")\nf_cubic.plot(ax=ax)\nf_linear.plot(ax=ax)\nax.set_xlabel(\"time\"); ax.legend()\nax.set_title(\"Array forcing — cubic vs linear interpolation\")\nplt.tight_layout(); plt.show()" }, { "cell_type": "markdown", "id": "5fe2bd1c", "metadata": {}, "source": [ "### 3. `from_sequence` — composable elements\n", "\n", "Three element types chain end-to-end in time. Each element's start value is inferred from the previous element's end value when not specified explicitly.\n", "\n", "The elements are: **`Ramp`** (monotonic transition), **`Harmonic`** (sinusoidal), and **`Hold`** (constant connector between other elements)." ] }, { "cell_type": "markdown", "id": "6a59c0bc", "metadata": {}, "source": [ "#### Components\n", "##### `Ramp` — monotonic transition\n", "\n", "`Ramp(duration, y0, yf, shape)` transitions between two values over `duration` time units. `shape` is `\"linear\"` (default) or `\"cosine\"` (smooth S-curve, no discontinuous derivative at the endpoints)." ] }, { "cell_type": "code", "execution_count": 22, "id": "5db60222", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r_linear = cc.forcing.Ramp(duration=10, y0=0.0, yf=3.0, shape=\"linear\")\n", "r_cosine = cc.forcing.Ramp(duration=10, y0=0.0, yf=3.0, shape=\"cosine\")\n", "\n", "fig, ax = plt.subplots(figsize=(7, 3))\n", "r_linear.plot(ax=ax, label=\"linear\")\n", "r_cosine.plot(ax=ax, linestyle=\"--\", label=\"cosine\")\n", "ax.set_xlabel(\"time\"); ax.set_title(\"Ramp shapes: linear vs cosine easing\")\n", "ax.legend(); plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "608d88d0", "metadata": {}, "source": [ "##### `Harmonic` — sinusoidal segment\n", "\n", "`Harmonic(duration, period, A, center)` generates a sinusoidal signal for `duration` time units. The phase is set automatically so the segment starts at the value inherited from the previous element (or at `center` if it is the first)." ] }, { "cell_type": "code", "execution_count": 23, "id": "316a6219", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "harm = cc.forcing.Harmonic(duration=50, period=10, A=1.5, center=0.0)\n", "\n", "fig, ax = harm.plot()\n", "ax.set_xlabel(\"time\"); ax.set_title(\"Harmonic element (period=10, A=1.5)\")\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "6410eb5a", "metadata": {}, "source": [ "##### `Hold` — constant segment\n", "\n", "`Hold(duration, value)` holds a constant value for `duration` time units. Most useful as a connector — a baseline before a perturbation, or a plateau after a ramp." ] }, { "cell_type": "markdown", "id": "5b4cfcc7", "metadata": {}, "source": [ "#### Building a sequence\n", "\n", "`from_sequence` accepts a list of elements. Here a solar dimming-recovery scenario:\n", "two holds and two ramps (one linear, one cosine for variety), surrounding a period of reduced solar output. Each piece is shown individually first, then the full signal with segments colored by element type." ] }, { "cell_type": "code", "execution_count": 24, "id": "96ede0b4", "metadata": {}, "outputs": [], "source": [ "# Define each piece — colors set at construction via plot_kwargs\n", "piece1 = cc.forcing.Hold(duration=100, value=1365.0, plot_kwargs={'color': 'steelblue'}) # baseline hold\n", "piece2 = cc.forcing.Ramp(duration=50, y0=1365.0, yf=1300.0, shape=\"cosine\", plot_kwargs={'color': 'firebrick'}) # cosine ramp down\n", "piece3 = cc.forcing.Hold(duration=100, value=1300.0, plot_kwargs={'color': 'coral'}) # hold at reduced S0\n", "piece4 = cc.forcing.Ramp(duration=50, y0=1300.0, yf=1365.0, shape=\"linear\", plot_kwargs={'color': 'seagreen'}) # linear ramp back up\n", "piece5 = cc.forcing.Hold(duration=200, value=1365.0, plot_kwargs={'color': 'steelblue'}) # return to baseline\n", "\n", "# Keep as ForcingSequence so .plot() can colour segments by element type\n", "solar_seq = piece1 + piece2 + piece3 + piece4 + piece5" ] }, { "cell_type": "code", "execution_count": 25, "id": "74bf904a", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Individual pieces in their own subplots — default element colors apply\n", "pieces = [piece1, piece2, piece3, piece4, piece5]\n", "labels = [\"Hold\\n1365\", \"Cosine ramp\\n↓ to 1300\", \"Hold\\n1300\",\n", " \"Linear ramp\\n↑ to 1365\", \"Hold\\n1365\"]\n", "\n", "fig, axes = plt.subplots(1, 5, figsize=(14, 3))\n", "for i, (piece, label) in enumerate(zip(pieces, labels)):\n", " piece.plot(ax=axes[i])\n", " axes[i].set_title(label, fontsize=8)\n", " axes[i].set_ylim(1285, 1380)\n", " axes[i].set_xlabel(\"time (within piece)\")\n", " if i == 0:\n", " axes[i].set_ylabel(\"S₀ (W m⁻²)\")\n", "\n", "plt.suptitle(\"Individual pieces\", y=1.02)\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "code", "execution_count": 26, "id": "97589c68", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Full sequence — segments coloured by element type automatically\n", "fig, ax = solar_seq.plot()\n", "ax.set_xlabel(\"time\"); ax.set_ylabel(\"S₀ (W m⁻²)\")\n", "ax.set_title(\"Composed solar_seq — segments coloured by element type\")\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "8a4fff1a", "metadata": {}, "source": [ "#### Composing with `+`\n", "\n", "Elements can be chained with `+` instead of building a list — returns a `ForcingSequence`\n", "that `Forcing()` accepts directly. Equivalent to `from_sequence`, just more readable\n", "for short sequences." ] }, { "cell_type": "code", "execution_count": 27, "id": "cdd2c814", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f_seq = (\n", " cc.forcing.Hold(duration=100, value=1365.0)\n", " + cc.forcing.Ramp(duration=50, y0=1365.0, yf=1300.0, shape=\"cosine\")\n", " + cc.forcing.Hold(duration=350, value=1300.0)\n", ")\n", "\n", "fig, ax = f_seq.plot()\n", "ax.set_xlabel(\"time\"); ax.set_ylabel(\"S₀ (W m⁻²)\")\n", "ax.set_title(\"Composed with + operator\")\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "5e6cdb62", "metadata": {}, "source": [ "### 4. `from_csv` — bundled datasets\n", "\n", "Two datasets are bundled with ClimateCritters:" ] }, { "cell_type": "code", "execution_count": 28, "id": "c79620f6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "vieira_tsi: t = 0 – 7840 yr BP, S0 = 340.01 – 340.41 W m⁻²\n", "insolation: t = -5000 – 0 kyr, range = -61.6 – 70.8\n" ] } ], "source": [ "tsi = cc.Forcing.from_csv(dataset=\"vieira_tsi\") # Total Solar Irradiance, yr BP\n", "insol = cc.Forcing.from_csv(dataset=\"insolation\") # 65°N insolation anomaly, kyr\n", "\n", "print(f\"vieira_tsi: t = {tsi.time.min():.0f} – {tsi.time.max():.0f} yr BP, \"\n", " f\"S0 = {tsi.data.min():.2f} – {tsi.data.max():.2f} W m⁻²\")\n", "print(f\"insolation: t = {insol.time.min():.0f} – {insol.time.max():.0f} kyr, \"\n", " f\"range = {insol.data.min():.1f} – {insol.data.max():.1f}\")" ] }, { "cell_type": "code", "execution_count": 29, "id": "f98256e7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2, 1, figsize=(10, 5))\n", "\n", "tsi.plot(ax=axes[0], color=\"goldenrod\", lw=0.8)\n", "axes[0].invert_xaxis()\n", "axes[0].set_xlabel(\"yr BP\"); axes[0].set_ylabel(\"TSI (W m⁻²)\")\n", "axes[0].set_title(\"Vieira et al. total solar irradiance reconstruction\")\n", "\n", "insol.plot(ax=axes[1], color=\"steelblue\", lw=0.8)\n", "axes[1].set_xlabel(\"kyr\"); axes[1].set_ylabel(\"insolation anomaly\")\n", "axes[1].set_title(\"Orbital insolation at 65°N\")\n", "\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "df136ce4", "metadata": {}, "source": [ "## `register_forcing` — attaching to a model\n", "\n", "`register_forcing(var_name, forcing_obj, attachment_style, timing)` wires a `Forcing` object into a model's integration loop. It wraps `dydt` transparently — no changes to the model subclass are needed.\n", "\n", "There are two target types (**parameter** or **state variable**) and two dimensions of control (**attachment style** and **timing**):\n" ] }, { "cell_type": "markdown", "id": "dac2dcaa", "metadata": {}, "source": [ "### Attachment style: `\"replacement\"` vs `\"additive\"`\n", "\n", "**`\"replacement\"`** — the forcing value *substitutes* the current parameter or state completely. \n", "Nothing else is added; the original value is irrelevant during that step.\n", "\n", "**`\"additive\"`** — the forcing value is *injected on top of* whatever the model is already computing. \n", "For a **parameter** this is the natural way to add centred noise: `k = k₀ + ε(t)`. \n", "For a **state variable** it acts as an external source or sink term added to `dxdt` (pre) or `x` (post).\n" ] }, { "cell_type": "markdown", "id": "b4adddc0", "metadata": {}, "source": [ "### Timing: \"pre\" vs \"post\"\n", "\n", "**`\"pre\"`** — applied *inside the right-hand side* at each solver function evaluation.\n", "For a parameter replacement, `param_values` is temporarily patched so `get_param_value` sees the forced value throughout `dydt`. For an additive state variable, the forcing value is added to `dxdt[idx]` — it enters as a rate (same units as `dx/dt`).\n", "\n", "**`\"post\"`** — applied *after each accepted integration step*.\n", "For state replacement, `x[idx]` is set to `forcing(t)` — prescribing the state directly (useful for nudging or data assimilation). For additive state, `forcing(t)` is added to `x[idx]` as a finite jump per step.\n", "\n", "> **Adaptive solvers and post-step:** `\"post\"` timing requires a fixed-step solver (`\"euler\"`, `\"rk4\"`, `\"euler_maruyama\"`). Adaptive solvers (`\"RK45\"` and other `scipy.integrate.solve_ivp` methods) do not expose a per-step callback, so post-step forcings are silently skipped — `CCModel.integrate()` will emit a warning.\n", "\n" ] }, { "cell_type": "markdown", "id": "562a9172", "metadata": {}, "source": [ "### Valid combinations by target\n", "\n", "| Target | Style | Timing | Effect |\n", "|--------|-------|--------|--------|\n", "| Parameter | `replacement` | `pre` (only option) | `param_values[name]` is patched to `forcing(t)` during each `dydt` call |\n", "| Parameter | `additive` | `pre` (only option) | `forcing(t)` is added to the nominal parameter value: `param_values[name] + forcing(t)` |\n", "| State var | `replacement` | `post` (only option) | `x[idx]` is set to `forcing(t)` after each accepted step (fixed-step solvers only) |\n", "| State var | `additive` | `pre` | `forcing(t)` is added to `dxdt[idx]` — a continuous source/sink rate |\n", "| State var | `additive` | `post` | `forcing(t)` is added to `x[idx]` after each step (fixed-step only) |\n", "\n", "```python\n", "# Parameter replacement — time-varying solar constant\n", "model.register_forcing(\"S0\", cc.Forcing(lambda t: 1365.0 + 5*np.sin(t)))\n", "\n", "# Parameter additive — white noise on a diffusion coefficient\n", "rng = np.random.default_rng(42)\n", "model.register_forcing(\"D\", cc.Forcing(lambda t: rng.normal(0, 0.01)),\n", " attachment_style=\"additive\")\n", "\n", "# State additive pre — freshwater flux into salinity tendency\n", "model.register_forcing(\"S\", cc.Forcing(lambda t: 0.1),\n", " attachment_style=\"additive\", timing=\"pre\")\n", "```\n" ] }, { "cell_type": "markdown", "id": "ff0e6298", "metadata": {}, "source": [ "### Inspecting and clearing\n", "\n", "```python\n", "model.get_forcings() # dict of all registered forcings\n", "model.get_forcings(\"S0\") # list of ForcingSpec for one variable\n", "model.clear_forcings() # remove all forcings\n", "model.clear_forcings(\"S0\") # remove forcings on one variable only\n", "```" ] }, { "cell_type": "markdown", "id": "7192829e", "metadata": {}, "source": [ "### Noise and stochastic forcing\n", "\n", "Noise can enter a model through `register_forcing` or through dedicated SDE solvers:\n", "\n", "**Via `register_forcing`** — wrap any stochastic callable in a `Forcing` and attach it as an additive state variable forcing. This is convenient for post-hoc exploration but mixes noise into the deterministic solver, which can affect step-size selection in adaptive solvers.\n", "\n", "```python\n", "rng = np.random.default_rng(42)\n", "noise = cc.Forcing(lambda t: rng.normal(0, 0.05)) # white noise\n", "model.register_forcing(\"S\", noise, \"additive\", timing=\"pre\")\n", "```\n", "\n", "**Via SDE solvers** — the cleanest approach for stochastic integration.\n", "Define `sde_noise(t, x)` on the model and pass a stochastic method to `integrate()`:\n", "\n", "```python\n", "# heun_maruyama: strong order 1 for additive noise\n", "output = model.integrate(t_span=(0, 100), y0=[...], method=\"heun_maruyama\",\n", " dt=0.1, random_seed=42)\n", "# milstein: strong order 1 for multiplicative noise (diffusion depends on state)\n", "output = model.integrate(t_span=(0, 100), y0=[...], method=\"milstein\",\n", " dt=0.1, random_seed=42)\n", "```\n", "\n", "See the noise utilities (`cc.utils.noise`) for post-hoc noise application to already-integrated output." ] }, { "cell_type": "markdown", "id": "504f91de", "metadata": {}, "source": [] } ], "metadata": { "kernelspec": { "display_name": "pb_env_jpl", "language": "python", "name": "pb_env_jpl" }, "language_info": { "name": "python", "version": "3.11.0" } }, "nbformat": 4, "nbformat_minor": 5 }