{ "cells": [ { "cell_type": "markdown", "id": "title", "metadata": {}, "source": [ "# Noise in Models — Three Injection Modes\n", "\n", "**Author:** Jordan Landers \n", "**Date:** last-modified\n", "\n", "_Description:_ Noisy forcing (input feedback), SDE integration with `euler_maruyama`/`heun_maruyama`/`milstein` (state feedback), post-integration observation noise; comparison on `EBM0D`\n", "\n", "_Abstract_\n", "\n", "> Three independent ways to introduce stochasticity differ fundamentally in where noise enters the dynamics. Noisy forcing feeds randomness through the model's input; SDE integration (Euler-Maruyama, Heun-Maruyama, Milstein) injects it directly into the state update; post-integration noise simulates observation error without any dynamical feedback. This notebook compares all three approaches on `EBM0D`.\n", "\n", "**Keywords:** noise, noisy forcing, SDE, Euler-Maruyama, Heun-Maruyama, Milstein, stochastic integration, observation noise, ensemble, EBM0D" ] }, { "cell_type": "code", "execution_count": 1, "id": "imports", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import climatecritters as cc\n", "from climatecritters.model_critters.ebm import EBM0D\n", "from climatecritters.utils import noise as cc_noise\n", "import pyleoclim as pyleo\n", "\n", "T_SPAN = (0, 500) # years\n" ] }, { "cell_type": "markdown", "id": "baseline-h2", "metadata": {}, "source": [ "## Clean baseline\n", "\n", "Run once; reuse throughout for comparison." ] }, { "cell_type": "code", "execution_count": 2, "id": "baseline", "metadata": {}, "outputs": [], "source": [ "model_clean = EBM0D()\n", "out_clean = model_clean.integrate(t_span=T_SPAN, y0=[255.0], method='RK45')\n", "T_clean = out_clean.state_variables['T']\n", "t_clean = out_clean.time\n" ] }, { "cell_type": "markdown", "id": "s1-h2", "metadata": {}, "source": [ "## Noisy forcing\n", "\n", "Wrap a stochastic process in a `cc.Forcing` callable and attach it with\n", "`register_forcing`. The noise is part of the *input*, not the state equations,\n", "so the model stays deterministic and the perturbation is inspectable.\n", "\n", "Here: AR(1) noise added to `S0` (the solar constant).\n", "\n", "**Always visualise the forcing before attaching it.**\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "s1-forcing", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_eval = np.arange(T_SPAN[0], T_SPAN[1] + 1, dtype=float)\n", "\n", "# AR(1): σ=3 W m⁻², τ=20 yr\n", "sigma_drive, tau_drive = 3.0, 20.0\n", "rng_f = np.random.default_rng(0)\n", "noise_vals = np.zeros(len(t_eval))\n", "for i in range(1, len(noise_vals)):\n", " alpha = np.exp(-1.0 / tau_drive)\n", " noise_vals[i] = (alpha * noise_vals[i-1]\n", " + sigma_drive * np.sqrt(1 - alpha**2) * rng_f.standard_normal())\n", "\n", "solar_noise = cc.Forcing(\n", " lambda t, _t=t_eval, _v=noise_vals: float(np.interp(t, _t, _v))\n", ")\n", "\n", "# Visualise first\n", "fig, ax = plt.subplots(figsize=(10, 3))\n", "ax.plot(t_eval, noise_vals, color='teal', lw=0.9)\n", "ax.axhline(0, color='k', lw=0.7, ls=':')\n", "ax.set_xlabel('time (yr)'); ax.set_ylabel('ΔS₀ (W m⁻²)')\n", "ax.set_title('AR(1) solar noise forcing (σ=3 W m⁻², τ=20 yr)')\n", "plt.tight_layout(); plt.show()\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "s1-run", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model_noisy_f = EBM0D()\n", "model_noisy_f.register_forcing('S0', solar_noise, 'additive')\n", "out_noisy_f = model_noisy_f.integrate(t_span=T_SPAN, y0=[255.0], method='RK45')\n", "\n", "fig, axes = plt.subplots(2, 1, figsize=(10, 6), sharex=True)\n", "axes[0].plot(t_eval, noise_vals, color='teal', lw=0.9)\n", "axes[0].axhline(0, color='k', lw=0.7, ls=':')\n", "axes[0].set_ylabel('ΔS₀ (W m⁻²)')\n", "\n", "axes[1].plot(t_clean, T_clean, color='gray', lw=1.5, label='clean')\n", "axes[1].plot(out_noisy_f.time, out_noisy_f.state_variables['T'],\n", " color='teal', lw=1.0, alpha=0.85, label='noisy forcing')\n", "axes[1].set_xlabel('time (yr)'); axes[1].set_ylabel('T (K)'); axes[1].legend()\n", "axes[1].set_ylim((285,290))\n", "fig.suptitle('EBM0D — noisy forcing vs clean')\n", "plt.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", "id": "s1-cap", "metadata": {}, "source": [ "**Figure.** The noisy run tracks the forcing with a lag set by the thermal\n", "inertia. The perturbations never drive the model to a new equilibrium because\n", "the noise is zero-mean and the heat capacity keeps the system well-damped.\n" ] }, { "cell_type": "markdown", "id": "s2-h2", "metadata": {}, "source": [ "## Noise during integration\n", "\n", "SDE integrators inject noise at every timestep: $dT = f(T)\\,dt + \\sigma\\,dW$.\n", "\n", "To use them:\n", "1. Set `model.sde_noise = lambda t, state: noise_scale_vector`\n", "2. Call `integrate(..., method='euler_maruyama')` — or `heun_maruyama`\n", " (strong order 1.0) or `milstein` (strong order 1.0, multiplicative noise)\n", "3. Pass `kwargs={'dt': ..., 'random_seed': N}` — `dt` is required\n", "\n", "`heun_maruyama` is the default recommendation: better accuracy than\n", "`euler_maruyama` at the same `dt`, with no extra cost for additive noise.\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "s2-run", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "SIGMA_SDE = 0.8 # K yr⁻⁰·⁵\n", "DT_SDE = 0.5 # yr\n", "\n", "def sde_noise_fn(t, state):\n", " return np.full_like(np.asarray(state, dtype=float), SIGMA_SDE)\n", "\n", "# Deterministic Euler baseline vs three SDE methods\n", "configs = [\n", " ('euler', {}, 'gray', '-', 'Euler (deterministic)'),\n", " ('euler_maruyama',{'random_seed': 0}, 'steelblue', '-', 'Euler-Maruyama'),\n", " ('heun_maruyama', {'random_seed': 0}, 'seagreen', '-', 'Heun-Maruyama'),\n", " ('milstein', {'random_seed': 0}, 'firebrick', '--', 'Milstein'),\n", "]\n", "\n", "runs_sde = {}\n", "for method, extra_kw, color, ls, label in configs:\n", " m = EBM0D()\n", " if method != 'euler':\n", " m.sde_noise = sde_noise_fn\n", " out = m.integrate(t_span=T_SPAN, y0=[255.0], method=method,\n", " kwargs={'dt': DT_SDE, **extra_kw})\n", " runs_sde[label] = (out, color, ls)\n", "\n", "fig, ax = plt.subplots(figsize=(10, 4))\n", "for label, (out, color, ls) in runs_sde.items():\n", " lw = 1.8 if label == 'Euler (deterministic)' else 1.0\n", " ax.plot(out.time, out.state_variables['T'],\n", " color=color, ls=ls, lw=lw, alpha=0.85, label=label)\n", "ax.set_xlabel('time (yr)'); ax.set_ylabel('T (K)')\n", "ax.set_title(f'SDE integration (σ={SIGMA_SDE}, dt={DT_SDE} yr)')\n", "ax.legend(); plt.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", "id": "s2-cap", "metadata": {}, "source": [ "**Figure.** For **additive** noise (σ independent of state) Milstein's\n", "correction term is zero, so Heun-Maruyama and Milstein give identical\n", "trajectories at the same seed. All three converge to the same neighbourhood\n", "of ~288 K — noise is zero-mean, so it doesn't shift the attractor.\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "s2-ensemble", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Run an ensemble to characterise spread\n", "N_ENS = 20\n", "ens_T, ens_t = [], None\n", "for seed in range(N_ENS):\n", " m = EBM0D(); m.sde_noise = sde_noise_fn\n", " out = m.integrate(t_span=T_SPAN, y0=[255.0], method='heun_maruyama',\n", " kwargs={'dt': DT_SDE, 'random_seed': seed})\n", " ens_T.append(out.state_variables['T'])\n", " if ens_t is None:\n", " ens_t = out.time # time axis from the SDE runs\n", "ens_arr = np.array(ens_T)\n", "\n", "# Trim the clean reference to the same length if needed\n", "T_clean_ref = T_clean[:len(ens_t)] if len(T_clean) > len(ens_t) else T_clean\n", "t_clean_ref = t_clean[:len(ens_t)] if len(t_clean) > len(ens_t) else t_clean\n", "\n", "fig, ax = plt.subplots(figsize=(10, 4))\n", "for row in ens_arr:\n", " ax.plot(ens_t, row, color='steelblue', lw=0.5, alpha=0.3)\n", "ax.plot(ens_t, ens_arr.mean(axis=0), color='navy', lw=2, label='ensemble mean')\n", "ax.plot(t_clean_ref, T_clean_ref, color='gray', lw=1.5, ls='--', label='deterministic')\n", "ax.set_xlabel('time (yr)'); ax.set_ylabel('T (K)')\n", "ax.set_title(f'Heun-Maruyama ensemble ({N_ENS} realisations)')\n", "ax.legend(); plt.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", "id": "s2-ens-cap", "metadata": {}, "source": [ "**Figure.** Ensemble mean converges to the deterministic equilibrium; spread\n", "is largest during the fast transient when the gradient is steepest.\n" ] }, { "cell_type": "markdown", "id": "s3-h2", "metadata": {}, "source": [ "## Noise post-integration\n", "\n", "Run the model cleanly, then add noise to the output series with\n", "`climatecritters.utils.noise`. Use this when the noise represents *observation\n", "error* or *proxy noise* rather than intrinsic variability — the dynamics stay\n", "deterministic and reproducible.\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "s3-postnoise", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time axis values sorted in ascending order\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "{'label': 'deterministic'}\n", "{'label': 'deterministic'}\n", "{'label': 'Power-law surrogates ($S(f) \\\\propto f^{-\\\\beta}$) #5'}\n" ] } ], "source": [ "ts_clean = pyleo.Series(time=t_clean, value=T_clean,\n", " time_name='time', time_unit='yr',\n", " value_name='T', value_unit='K', label='deterministic')\n", "\n", "# RK45 produces irregular timesteps — interpolate to regular grid before\n", "# generating surrogates (ar1sim requires evenly-spaced time)\n", "ts_clean_reg = ts_clean.interp()\n", "t_reg = ts_clean_reg.time\n", "T_reg = ts_clean_reg.value\n", "\n", "# AR(1) surrogates matched to the signal's autocorrelation\n", "surr_ar1 = cc_noise.from_series(ts_clean_reg, method='ar1sim', number=5, seed=1)\n", "\n", "# Pink noise (β=1) from parameters\n", "surr_cn = cc_noise.from_param(method='CN', noise_param=[1], length=len(t_reg),\n", " time_pattern='specified',\n", " settings={'time': t_reg}, number=5, seed=2)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(13, 4), sharey=True)\n", "for ax, surr, color, title in [\n", " (axes[0], surr_ar1, 'steelblue', 'AR(1) observation noise'),\n", " (axes[1], surr_cn, 'firebrick', 'Coloured noise (β=1)'),\n", "]:\n", " ax.plot(t_reg, T_reg, color='gray', lw=2, label='deterministic', zorder=3)\n", " for s in surr.series_list:\n", " noisy = T_reg + 0.5 * (s.value - s.value.mean()) / s.value.std()\n", " ax.plot(t_reg, noisy, color=color, lw=0.7, alpha=0.45)\n", " ax.set_xlabel('time (yr)'); ax.set_title(title)\n", "axes[0].set_ylabel('T (K)')\n", "fig.suptitle('EBM0D — post-integration noise (5 realisations each)')\n", "plt.tight_layout()\n" ] }, { "cell_type": "markdown", "id": "s3-cap", "metadata": {}, "source": [ "**Figure.** Both panels converge to exactly the same deterministic equilibrium —\n", "post-integration noise does not feed back into dynamics. AR(1) produces slower\n", "meanders; pink noise adds spectral richness across all scales.\n" ] }, { "cell_type": "markdown", "id": "summary", "metadata": {}, "source": [ "## Which approach to use?\n", "\n", "| | Noisy forcing | Noise during integration | Noise post-integration |\n", "|---|---|---|---|\n", "| **Feeds back into dynamics** | ✓ (through input) | ✓ (on state) | ✗ |\n", "| **Deterministic model preserved** | ✓ | ✗ | ✓ |\n", "| **Physical interpretation** | Boundary/external forcing | Intrinsic variability | Measurement / proxy noise |\n", "| **Reproducibility** | Pre-draw + wrap | `random_seed` kwarg | `seed` in `from_series`/`from_param` |\n", "| **Requires SDE integrator** | ✗ | ✓ | ✗ |\n" ] }, { "cell_type": "markdown", "id": "a723db46", "metadata": {}, "source": [] } ], "metadata": { "kernelspec": { "display_name": "pb_jpl_env", "language": "python", "name": "pb_jpl_env" }, "language_info": { "name": "python", "version": "3.11.0" } }, "nbformat": 4, "nbformat_minor": 5 }