{ "cells": [ { "cell_type": "markdown", "id": "cell-0", "metadata": {}, "source": [ "# ENSORechargeOscillator — Jin (1997) ENSO Recharge Paradigm\n", "\n", "**Author:** Jordan Landers \n", "**Date:** last-modified\n", "\n", "_Description:_ Recharge-discharge paradigm, Bjerknes coupling regimes (damped, self-sustained, nonlinear), thermocline depth anomaly, SST anomaly, seasonal forcing entrainment\n", "\n", "_Abstract_\n", "\n", "> `ENSORechargeOscillator` implements Jin's (1997) recharge-discharge paradigm, coupling SST anomaly T to thermocline depth anomaly h to produce El Niño/La Niña oscillations. This notebook explores damped, self-sustained, and nonlinear oscillation regimes controlled by Bjerknes coupling μ, and shows how seasonal forcing can entrain the oscillator into irregular, quasi-periodic behavior.\n", "\n", "**Keywords:** ENSORechargeOscillator, ENSO, recharge-discharge, Bjerknes coupling, thermocline, SST anomaly, limit cycle, seasonal forcing, nonlinear damping, Jin 1997" ] }, { "cell_type": "markdown", "id": "cell-1", "metadata": {}, "source": [ "## Overview\n", "\n", "`ENSORechargeOscillator` implements the Jin (1997) recharge-discharge paradigm coupling the\n", "eastern Pacific SST anomaly `T` to the thermocline depth anomaly `h`:\n", "\n", "$$\\frac{dT}{dt} = R\\,T + \\gamma\\,h - \\epsilon_n(h + b\\,T)^3 + F(t)$$\n", "\n", "$$\\frac{dh}{dt} = -r\\,h - \\alpha\\,b\\,T$$\n", "\n", "where $b = b_0\\mu$ (Bjerknes coupling) and $R = \\gamma b - c$ (net SST tendency).\n", "\n", "The model spans three dynamical regimes controlled primarily by `mu` (Bjerknes coupling):\n", "- **Damped oscillator** (`mu` below critical): perturbations decay, ENSO needs external forcing to oscillate\n", "- **Limit cycle** (`mu` near/above critical): self-sustained oscillations without seasonal forcing\n", "- **Nonlinear regime** (`en` > 0): cubic damping limits amplitude growth\n", "\n", "### Parameters\n", "\n", "| Name | Description | Default |\n", "|------|-------------|--------|\n", "| `mu` | Bjerknes coupling coefficient | 0.7 |\n", "| `en` | Nonlinear damping | 0.0 |\n", "| `c` | Newtonian SST cooling rate | 1.0 |\n", "| `r` | Thermocline recharge damping | 0.25 |\n", "| `alpha` | Wind-stress feedback | 0.125 |\n", "| `b0` | Background thermocline slope sensitivity | 2.5 |\n", "| `gamma` | Thermocline feedback onto SST | 0.75 |\n", "\n", "Time units: **months** by convention. Seasonal forcing is added externally via `register_forcing`.\n", "State variables: `T` (SST anomaly, °C), `h` (thermocline depth anomaly, m)." ] }, { "cell_type": "code", "execution_count": 5, "id": "14ea3b3b070247bd", "metadata": { "ExecuteTime": { "end_time": "2026-06-10T01:28:41.426582Z", "start_time": "2026-06-10T01:28:41.414305Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import climatecritters as cc\n", "from climatecritters.model_critters.enso_recharge import ENSORechargeOscillator\n", "from climatecritters.utils.forcing import create_sinusoid_forcing" ] }, { "cell_type": "markdown", "id": "cell-3", "metadata": {}, "source": [ "## Unforced dynamics: μ regimes\n", "\n", "Without seasonal forcing, the linear stability of the steady state\n", "$(T, h) = (0, 0)$ depends on `mu`. The critical coupling $\\mu_c$ separates\n", "damped oscillations from spontaneous limit-cycle growth.\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "cell-4", "metadata": { "ExecuteTime": { "end_time": "2026-06-10T01:28:41.620094Z", "start_time": "2026-06-10T01:28:41.427736Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mu_cases = [\n", " (0.5, 'Damped (mu=0.5)', 'steelblue'),\n", " (0.7, 'Near-critical (mu=0.7)', 'goldenrod'),\n", " (0.9, 'Self-sustained (mu=0.9)', 'firebrick'),\n", "]\n", "\n", "fig, axes = plt.subplots(2, 1, figsize=(11, 6), sharex=True)\n", "\n", "for mu_val, label, color in mu_cases:\n", " m = ENSORechargeOscillator(mu=mu_val)\n", " out = m.integrate(t_span=(0, 240), y0=[0.5, 0.0], method='RK45')\n", " t = np.asarray(out.time)\n", " axes[0].plot(t, out.state_variables['T'], lw=1.0, color=color, label=label)\n", " axes[1].plot(t, out.state_variables['h'], lw=1.0, color=color)\n", "\n", "axes[0].axhline(0, color='k', lw=0.4, ls='--')\n", "axes[0].set_ylabel('T (SST anomaly)'); axes[0].set_title('SST anomaly T')\n", "axes[0].legend(fontsize=9)\n", "\n", "axes[1].axhline(0, color='k', lw=0.4, ls='--')\n", "axes[1].set_ylabel('h (thermocline depth)'); axes[1].set_xlabel('time (months)')\n", "axes[1].set_title('Thermocline depth anomaly h')\n", "\n", "fig.suptitle('ENSORechargeOscillator — unforced, varying mu')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "enso-mu-cap", "metadata": {}, "source": [ "**Figure.** Top: SST anomaly $T(t)$ for three coupling strengths. At $\\mu=0.5$ the oscillation decays — ENSO is subcritical and needs external forcing to persist. At $\\mu=0.7$ weak self-sustained oscillations emerge near the critical point. At $\\mu=0.9$ the system is supercritical: a growing limit cycle with multi-year ENSO swings. Bottom: thermocline anomaly $h$ lags $T$ by roughly a quarter period — thermocline recharge precedes each El Niño peak." ] }, { "cell_type": "markdown", "id": "cell-5", "metadata": {}, "source": [ "## Phase portrait: T vs h\n", "\n", "The recharge oscillator has a clear physical interpretation in the T–h plane:\n", "- **El Niño events**: warm T + positive h (thermocline high → enhanced SST feedback)\n", "- **Discharge phase**: warm T drives negative h tendency (recharge → discharge)\n", "- **La Niña events**: cold T + negative h\n", "- **Recharge phase**: cold T drives positive h tendency" ] }, { "cell_type": "code", "execution_count": 7, "id": "cell-6", "metadata": { "ExecuteTime": { "end_time": "2026-06-10T01:28:41.807188Z", "start_time": "2026-06-10T01:28:41.621739Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Long run for the self-sustained case (mu=0.9)\n", "m_lc = ENSORechargeOscillator(mu=0.9)\n", "out_lc = m_lc.integrate(t_span=(0, 600), y0=[0.5, 0.0], method='RK45')\n", "t_lc = np.asarray(out_lc.time)\n", "T_lc = out_lc.state_variables['T']\n", "h_lc = out_lc.state_variables['h']\n", "mask_lc = t_lc > 100 # discard transient\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", "\n", "sc = axes[0].scatter(T_lc[mask_lc], h_lc[mask_lc], c=t_lc[mask_lc], cmap='plasma',\n", " s=2, lw=0)\n", "fig.colorbar(sc, ax=axes[0], label='time (months)')\n", "axes[0].axhline(0, color='k', lw=0.4, ls='--')\n", "axes[0].axvline(0, color='k', lw=0.4, ls='--')\n", "axes[0].set_xlabel('T (SST anomaly)'); axes[0].set_ylabel('h (thermocline)')\n", "axes[0].set_title('Phase portrait — limit cycle (mu=0.9)')\n", "\n", "# Annotate quadrants\n", "for txt, xy in [('El Niño\\n(warm, high h)', (1.2, 1.0)),\n", " ('La Niña\\n(cold, low h)', (-1.6, -0.8))]:\n", " axes[0].text(*xy, txt, fontsize=7.5, ha='center', style='italic', color='#555555')\n", "\n", "axes[1].plot(t_lc[mask_lc], T_lc[mask_lc], lw=0.8, color='firebrick')\n", "axes[1].axhline(0, color='k', lw=0.4, ls='--')\n", "axes[1].set_xlabel('time (months)'); axes[1].set_ylabel('T')\n", "axes[1].set_title('T(t) — self-sustained ENSO cycle')\n", "\n", "fig.suptitle('ENSORechargeOscillator — mu=0.9, unforced')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "enso-phase-cap", "metadata": {}, "source": [ "**Figure.** Left: T–h phase portrait of the self-sustained limit cycle ($\\mu=0.9$), coloured by time. The cycle runs clockwise: warm $T$ (El Niño peak, top-right) discharges the thermocline, driving the system toward La Niña (bottom-left), which then recharges. Right: $T(t)$ in the sustained regime shows quasi-regular ~4-year oscillations." ] }, { "cell_type": "markdown", "id": "cell-7", "metadata": {}, "source": [ "## Seasonal forcing\n", "\n", "Seasonal (or any other) external forcing is added via `register_forcing` with the\n", "`create_sinusoid_forcing` factory helper (additive, pre-step):\n", "\n", "```python\n", "model = ENSORechargeOscillator(mu=0.7)\n", "model.register_forcing(\n", " 'T',\n", " create_sinusoid_forcing(A=0.5, period=6.0),\n", " attachment_style='additive',\n", " timing='pre',\n", ")\n", "```\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "cell-8", "metadata": { "ExecuteTime": { "end_time": "2026-06-10T01:28:41.950738Z", "start_time": "2026-06-10T01:28:41.820877Z" } }, "outputs": [], "source": [ "# Damped oscillator (mu=0.5) with and without seasonal forcing\n", "m_no_seas = ENSORechargeOscillator(mu=0.5)\n", "out_no_seas = m_no_seas.integrate(t_span=(0, 240), y0=[0.5, 0.0], method='RK45')\n", "\n", "m_seas = ENSORechargeOscillator(mu=0.5)\n", "m_seas.register_forcing(\n", " 'T',\n", " create_sinusoid_forcing(A=0.5, period=6.0),\n", " attachment_style='additive',\n", " timing='pre',\n", ")\n", "out_seas = m_seas.integrate(t_span=(0, 240), y0=[0.5, 0.0], method='RK45')\n", "\n", "t_ns = np.asarray(out_no_seas.time)\n", "t_s = np.asarray(out_seas.time)" ] }, { "cell_type": "code", "execution_count": null, "id": "cell-9", "metadata": {}, "outputs": [], "source": [ "fig, axes = plt.subplots(2, 1, figsize=(11, 6), sharex=True)\n\naxes[0].plot(t_ns, out_no_seas.state_variables['T'], color='steelblue', lw=1.0,\n label='No forcing — decays')\naxes[0].plot(t_s, out_seas.state_variables['T'], color='firebrick', lw=1.0,\n label='Seasonal forcing (A=0.5) — sustained')\naxes[0].axhline(0, color='k', lw=0.4, ls='--')\naxes[0].set_ylabel('T'); axes[0].set_title('SST anomaly')\naxes[0].legend(fontsize=9)\n\n# Show the seasonal forcing itself\nt_fine = np.linspace(0, 240, 2000)\nforcing_vals = 0.5 * np.sin(2 * np.pi * t_fine / 6.0)\naxes[1].plot(t_fine, forcing_vals, color='goldenrod', lw=1.0)\naxes[1].axhline(0, color='k', lw=0.4, ls='--')\naxes[1].set_ylabel('Seasonal forcing'); axes[1].set_xlabel('time (months)')\naxes[1].set_title('Seasonal forcing A·sin(2πt/period) (A=0.5, period=6 months)')\n\nfig.suptitle('ENSORechargeOscillator — damped case (mu=0.5) with/without seasonal forcing')\nplt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "enso-seas-cap", "metadata": {}, "source": [ "**Figure.** Top: with no seasonal forcing ($\\mu=0.5$) the SST oscillation decays within ~5 years. Adding a 6-month sinusoidal kick ($A_f=0.5$) locks the system into a sustained, quasi-regular oscillation — the damped ENSO mode is entrained by the seasonal cycle. Bottom: the seasonal forcing itself." ] }, { "cell_type": "markdown", "id": "cell-10", "metadata": {}, "source": [ "## Nonlinear damping\n", "\n", "The cubic term $-\\epsilon_n(h + bT)^3$ limits amplitude growth in the supercritical regime.\n", "Without it a large `mu` gives unbounded growth; with `en` > 0 the system settles onto\n", "a finite-amplitude limit cycle." ] }, { "cell_type": "code", "execution_count": 10, "id": "cell-11", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "en_cases = [\n", " (0.0, 'en=0 (linear)', 'firebrick'),\n", " (0.05, 'en=0.05 (weak nl.)', 'goldenrod'),\n", " (0.2, 'en=0.2 (strong nl.)', 'steelblue'),\n", "]\n", "\n", "fig, ax = plt.subplots(figsize=(10, 4))\n", "\n", "for en_val, label, color in en_cases:\n", " m = ENSORechargeOscillator(mu=0.9, en=en_val)\n", " out = m.integrate(t_span=(0, 300), y0=[0.5, 0.0], method='RK45')\n", " t = np.asarray(out.time)\n", " ax.plot(t, out.state_variables['T'], lw=0.9, color=color, label=label)\n", "\n", "ax.axhline(0, color='k', lw=0.4, ls='--')\n", "ax.set_xlabel('time (months)'); ax.set_ylabel('T')\n", "ax.set_title('Effect of nonlinear damping (mu=0.9)')\n", "ax.legend(fontsize=9)\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "enso-nl-cap", "metadata": {}, "source": [ "**Figure.** Effect of cubic damping on the supercritical case ($\\mu=0.9$). Without damping ($\\epsilon_n=0$) amplitude grows without bound. Weak damping ($\\epsilon_n=0.05$) limits growth to a large but finite limit cycle. Strong damping ($\\epsilon_n=0.2$) produces a compact, nearly sinusoidal cycle — the model's analogue of amplitude-limited ENSO variability." ] }, { "cell_type": "markdown", "id": "cell-12", "metadata": {}, "source": [ "## Solver notes\n", "\n", "`RK45` is appropriate. The system is not stiff at default parameters.\n", "\n", "**`uses_post_history=True`** — diagnostics are assembled after integration.\n", "There are no diagnostic variables by default; `state_variables` contains\n", "`T` and `h` directly.\n", "\n", "**Time units are months** by convention: `t_span=(0, 120)` is a 10-year run.\n", "A period of `6.0` is a semi-annual cycle; use `period=12.0` for an annual cycle.\n", "\n", "**Seasonal forcing via `register_forcing`** uses `attachment_style='additive'`\n", "and `timing='pre'` to add the seasonal signal before the tendency is computed:\n", "```python\n", "model.register_forcing(\n", " 'T',\n", " create_sinusoid_forcing(A=0.5, period=6.0),\n", " attachment_style='additive',\n", " timing='pre',\n", ")\n", "```\n", "The `create_sinusoid_forcing` factory returns a plain callable `f(t)`,\n", "so no `partial` wrapping is needed.\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "name": "python", "version": "3.10.0" } }, "nbformat": 4, "nbformat_minor": 5 }