{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# EBM0D — Zero-Dimensional Energy Balance Model\n", "\n", "**Author:** Jordan Landers \n", "**Date:** last-modified\n", "\n", "_Description:_ Equilibration, albedo options (constant, `albedo_func`, custom callable), OLR, ice-albedo bistability, solar forcing, bundled TSI data, heat capacity effects on timescale\n", "\n", "_Abstract_\n", "\n", "> `EBM0D` is a single-compartment global energy balance model that balances incoming solar radiation against outgoing longwave radiation via Stefan-Boltzmann OLR. This notebook demonstrates equilibration, ice-albedo bistability, custom albedo callables, solar constant forcing using both parameterized and bundled TSI datasets, and how heat capacity controls the system's thermal inertia.\n", "\n", "**Keywords:** EBM0D, energy balance, albedo, ice-albedo feedback, bistability, OLR, solar forcing, heat capacity, Stefan-Boltzmann, TSI" ] }, { "cell_type": "code", "execution_count": 1, "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, OLR_func, albedo_func" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parameters\n", "\n", "| Parameter | Default | Accepted types | Description |\n", "|---|---|---|---|\n", "| `S0` | `1365.0` | float, callable, `cc.Forcing` | Total solar irradiance (W m⁻²) |\n", "| `C` | `4` | float, callable, `cc.Forcing` | Heat capacity (W yr m⁻² K⁻¹) — controls equilibration timescale |\n", "| `albedo` | `0.3` | float, callable, `cc.Forcing` | Planetary albedo — use `albedo_func` for temperature-dependent ice-albedo feedback |\n", "| `OLR` | `OLR_func()` | callable, `cc.Forcing` | Outgoing longwave radiation — default is Stefan-Boltzmann at an effective emission level set by `pRad=650` hPa |\n", "\n", "The state variable is `T` (global-mean temperature, K). Diagnostics recorded at each timestep: `albedo`, `absorbed_SW`, `OLR`, `solar_incoming`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic run" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Instantiate with all defaults: S0=1365, alpha=0.3, Stefan-Boltzmann OLR\n", "model = EBM0D()\n", "\n", "# Integrate from a cold start (255 K) to equilibrium\n", "output = model.integrate(t_span=(0, 300), y0=[255.0], method='RK45')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Unpack the arrays we will use throughout the notebook\n", "time = output.time\n", "T = output.state_variables['T']\n", "albedo_diag = output.diagnostic_variables['albedo']\n", "sw_diag = output.diagnostic_variables['absorbed_SW']\n", "olr_diag = output.diagnostic_variables['OLR']\n", "solar_diag = output.diagnostic_variables['solar_incoming']\n", "\n", "fig, axes = plt.subplots(2, 2, figsize=(10, 6), sharex=True)\n", "\n", "axes[0, 0].plot(time, T, color='firebrick')\n", "axes[0, 0].set_ylabel('T (K)'); axes[0, 0].set_title('Temperature')\n", "\n", "axes[0, 1].plot(time, olr_diag, color='darkred')\n", "axes[0, 1].set_ylabel('W m⁻²'); axes[0, 1].set_title('OLR')\n", "\n", "axes[1, 0].plot(time, sw_diag, color='orange')\n", "axes[1, 0].set_ylabel('W m⁻²'); axes[1, 0].set_title('Absorbed SW (constant — α and S₀ fixed)')\n", "axes[1, 0].set_xlabel('time')\n", "\n", "axes[1, 1].plot(time, solar_diag, color='goldenrod')\n", "axes[1, 1].set_ylabel('W m⁻²'); axes[1, 1].set_title('Solar incoming S₀')\n", "axes[1, 1].set_xlabel('time')\n", "\n", "fig.suptitle(f\"EBM0D — default parameters, T_eq ≈ {T[-1]:.1f} K\")\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure.** Starting from 255 K, the model equilibrates at ~288 K in ~100 yr. Top-left: temperature relaxes smoothly to the fixed point. Top-right: OLR rises as the planet warms, eventually balancing absorbed shortwave. Bottom-left: absorbed shortwave is constant (fixed α = 0.3 and S₀ = 1365). Bottom-right: solar incoming is likewise constant — no forcing attached." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Albedo\n", "\n", "`albedo` controls how much shortwave is reflected. It accepts three forms.\n", "\n", "### 1. Constant float (default `0.3`)\n", "\n", "Fixed reflectivity — a single radiative equilibrium exists.\n", "\n", "### 2. `albedo_func` — built-in temperature-dependent feedback\n", "\n", "`albedo_func` implements a quadratic ice-albedo transition:\n", "\n", "- T < 260 K → α = 0.6 (ice-covered)\n", "- T > 290 K → α = 0.3 (ice-free)\n", "- Quadratic blend in between\n", "\n", "The thresholds can be shifted with a lambda wrapper:\n", "```python\n", "albedo=lambda t, state: albedo_func(t, state, T1=255., T2=285.)\n", "```\n", "\n", "With `albedo_func` the model has **two stable equilibria**. Which one you land on depends entirely on the initial condition. Running from several starting temperatures makes this clear:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# --- setup: multiple initial conditions with albedo_func ---\n", "initial_temps = [230, 245, 258, 268, 278, 288, 295] # K\n", "\n", "runs = []\n", "for T0 in initial_temps:\n", " m = EBM0D(albedo=albedo_func)\n", " out = m.integrate(t_span=(0, 300), y0=[T0], method='RK45')\n", " runs.append((T0, out))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# --- plot: each IC traces to one of two equilibria ---\n", "fig, ax = plt.subplots(figsize=(9, 4))\n", "\n", "colors = plt.cm.coolwarm(np.linspace(0, 1, len(initial_temps)))\n", "for (T0, out), c in zip(runs, colors):\n", " t_run = out.time\n", " T_run = out.state_variables['T']\n", " ax.plot(t_run, T_run, color=c, label=f'T₀={T0} K')\n", "\n", "# Mark the transition zone where albedo blends\n", "ax.axhspan(260, 290, alpha=0.08, color='green', label='albedo transition (260–290 K)')\n", "ax.set_xlabel('time'); ax.set_ylabel('T (K)')\n", "ax.set_title('albedo_func: initial conditions determine which equilibrium is reached')\n", "ax.legend(fontsize=8, ncol=2); plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure.** Multiple initial conditions reveal two stable equilibria separated by a tipping point. Cold starts (blue) are attracted to the snowball state (~230 K); warm starts (red) settle at the temperate state (~288 K). The shaded band (260–290 K) is the albedo transition zone — initial conditions within it can go either way depending on the exact value." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3. Custom callable\n", "\n", "Any function with signature `(t)`, `(t, state)`, or `(t, state, model)` — first argument must be named `t` or `time`. The dispatcher inspects the signature automatically." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# --- setup: smooth tanh albedo transition ---\n", "def tanh_albedo(t, state):\n", " \"\"\"Smooth albedo: α ranges from 0.6 (cold) to 0.3 (warm),\n", " centred on 275 K with a 10 K width.\"\"\"\n", " T = float(np.asarray(state).reshape(-1)[0])\n", " return 0.45 - 0.15 * np.tanh((T - 275.0) / 10.0)\n", "\n", "# Show the functional form before integrating\n", "T_range = np.linspace(240, 310, 200)\n", "alb_tanh = [tanh_albedo(0, [T]) for T in T_range]\n", "alb_builtin = [albedo_func(0, [T]) for T in T_range]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# --- plot: compare albedo functions ---\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.plot(T_range, alb_builtin, color='steelblue', label='albedo_func (quadratic, default)')\n", "ax.plot(T_range, alb_tanh, color='firebrick', ls='--', label='tanh_albedo (custom callable)')\n", "ax.axvspan(260, 290, alpha=0.08, color='steelblue')\n", "ax.set_xlabel('T (K)'); ax.set_ylabel('albedo')\n", "ax.set_title('Albedo as a function of temperature'); ax.legend(); plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure.** Default (quadratic) vs custom (tanh) albedo as a function of temperature. Both switch from high-albedo (ice) to low-albedo (no ice) across a similar temperature range, but the tanh transition is sharper — a narrower bistable zone and a more abrupt tipping point." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tanh_albedo equilibrium: T = 250.9 K\n" ] } ], "source": [ "# --- integrate with custom albedo ---\n", "model_tanh = EBM0D(albedo=tanh_albedo)\n", "out_tanh = model_tanh.integrate(t_span=(0, 300), y0=[255.0], method='RK45')\n", "t_tanh = out_tanh.time\n", "T_tanh = out_tanh.state_variables['T']\n", "print(f\"tanh_albedo equilibrium: T = {T_tanh[-1]:.1f} K\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## OLR\n", "\n", "The default OLR applies Stefan-Boltzmann at an effective emission level set by a dry-adiabatic pressure ratio. `OLR_func(pRad, ps)` returns the callable. Lower `pRad` means emission from higher, colder air → less OLR → warmer equilibrium." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pRad=650 (default): T_eq = 288.1 K\n", "pRad=600: T_eq = 294.8 K\n" ] } ], "source": [ "# --- setup: compare two OLR parameterisations ---\n", "model_olr600 = EBM0D(OLR=OLR_func(pRad=600)) # higher emission level\n", "out_olr600 = model_olr600.integrate(t_span=(0, 300), y0=[255.0], method='RK45')\n", "t6 = out_olr600.time\n", "T6 = out_olr600.state_variables['T']\n", "\n", "print(f\"pRad=650 (default): T_eq = {T[-1]:.1f} K\")\n", "print(f\"pRad=600: T_eq = {T6[-1]:.1f} K\")" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# --- plot: equilibrium temperatures side by side ---\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.plot(time, T, color='steelblue', label='pRad=650 (default)')\n", "ax.plot(t6, T6, color='firebrick', ls='--', label='pRad=600')\n", "ax.set_xlabel('time'); ax.set_ylabel('T (K)')\n", "ax.set_title('OLR parameterisation shifts the equilibrium temperature')\n", "ax.legend(); plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure.** A lower effective emission level (`pRad=600` hPa vs default 650 hPa) means radiation escapes from a colder, higher layer — the planet must warm further to achieve radiative balance. The equilibrium temperature shifts from ~288 K to ~292 K." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solar forcing: time-varying S₀\n", "\n", "Forcings are attached after construction via `register_forcing('S0', forcing_obj)`. Because `S0` is a parameter, the default style is `'replacement'` — the forcing value replaces `S0` at each solver evaluation.\n", "\n", "See the [Forcing notebook](../base_classes/forcing.ipynb) for a full treatment of all construction patterns (`Hold`, `Ramp`, `Harmonic`, array, callable, `from_csv`).\n", "\n", "A quick example with a solar dimming–recovery sequence:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Build a solar dimming-recovery sequence and plot it before running\n", "solar_seq = (\n", " cc.forcing.Hold(duration=100, value=1365.0)\n", " + cc.forcing.Ramp(duration=50, y0=1365.0, yf=1300.0)\n", " + cc.forcing.Hold(duration=100, value=1300.0)\n", " + cc.forcing.Ramp(duration=50, y0=1300.0, yf=1365.0)\n", " + cc.forcing.Hold(duration=200, value=1365.0)\n", ")\n", "\n", "fig, ax = solar_seq.plot()\n", "ax.set_ylabel('S₀ (W m⁻²)'); ax.set_title('Solar forcing sequence')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Attach to S0 and integrate\n", "model_solar = EBM0D()\n", "model_solar.register_forcing('S0', solar_seq.compile())\n", "out_solar = model_solar.integrate(t_span=(0, 500), y0=[288.0], method='RK45')\n", "\n", "time_s = out_solar.time\n", "T_s = out_solar.state_variables['T']\n", "solar_s = out_solar.diagnostic_variables['solar_incoming']\n", "\n", "fig, axes = plt.subplots(2, 1, figsize=(9, 5), sharex=True)\n", "axes[0].plot(time_s, solar_s, color='orange')\n", "axes[0].set_ylabel('S₀ (W m⁻²)'); axes[0].set_title('Applied solar forcing')\n", "axes[1].plot(time_s, T_s, color='firebrick')\n", "axes[1].set_ylabel('T (K)'); axes[1].set_xlabel('time')\n", "axes[1].set_title('Temperature response')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure.** Top: `solar_incoming` diagnostic confirms the forcing is correctly applied — the ramp-down and ramp-up are clearly visible. Bottom: temperature tracks the forcing with a lag set by the heat capacity. The ~4 K cooling during the dimmed phase and subsequent recovery illustrate the model's sensitivity to solar variability." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bundled dataset: `from_csv`\n", "\n", "`'vieira_tsi'` provides total solar irradiance reconstructed over the last millennium (time in years BP):" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dataset span: 0 – 7840 yr BP\n", "S0 range: 340.01 – 340.41 W m⁻²\n" ] } ], "source": [ "# --- load the Vieira TSI dataset ---\n", "solar_vieira = cc.Forcing.from_csv(dataset='vieira_tsi')\n", "print(f\"Dataset span: {solar_vieira.time.min():.0f} – {solar_vieira.time.max():.0f} yr BP\")\n", "print(f\"S0 range: {solar_vieira.data.min():.2f} – {solar_vieira.data.max():.2f} W m⁻²\")" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# --- plot the dataset ---\n", "fig, ax = plt.subplots(figsize=(9, 3))\n", "ax.plot(solar_vieira.time, solar_vieira.data, color='goldenrod', lw=0.8)\n", "ax.invert_xaxis() # BP convention: older on the right\n", "ax.set_xlabel('years BP'); ax.set_ylabel('TSI (W m⁻²)')\n", "ax.set_title('Vieira et al. total solar irradiance reconstruction')\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure.** Vieira et al. total solar irradiance reconstruction over the Common Era (~850–2000 CE). Prominent features: the Medieval Grand Maximum (~1000 CE), the Maunder Minimum (~1650 CE), and the modern uptick. Variability is small (~1–2 W m⁻²) but sufficient to drive ~0.1–0.2 K global mean temperature fluctuations in the EBM0D." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Time-evolving parameters\n", "\n", "Any `param_values` entry can be a callable: `(t)`, `(t, state)`, or `(t, state, model)`.\n", "\n", "`C` (heat capacity) controls the **speed** of equilibration — not the equilibrium temperature itself. The cleanest way to see this is to compare several constant C values all starting from the same initial condition. With Stefan-Boltzmann OLR the timescale is roughly τ ≈ C / (4 · OLR/T), so even modest differences in C produce clearly different approach curves." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "C= 2: T_eq = 288.13 K\n", "C= 8: T_eq = 288.13 K\n", "C= 30: T_eq = 288.13 K\n", "C= 100: T_eq = 288.13 K\n" ] } ], "source": [ "# Integrate from a cold start (255 K) with four different constant heat capacities\n", "C_values = [2, 8, 30, 100] # W yr m⁻² K⁻¹\n", "C_colors = [\"steelblue\", \"seagreen\", \"orange\", \"firebrick\"]\n", "\n", "C_runs = []\n", "for C_val in C_values:\n", " m = EBM0D(C=C_val)\n", " out = m.integrate(t_span=(0, 500), y0=[255.0], method=\"RK45\")\n", " C_runs.append((C_val, out))\n", "\n", "# Confirm all reach the same equilibrium\n", "for C_val, out in C_runs:\n", " print(f\"C={C_val:>4}: T_eq = {out.state_variables['T'][-1]:.2f} K\")" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 4))\n", "\n", "for (C_val, out), color in zip(C_runs, C_colors):\n", " ax.plot(out.time, out.state_variables[\"T\"],\n", " color=color, lw=2, label=f\"C = {C_val}\")\n", "\n", "ax.set_xlabel(\"time (yr)\")\n", "ax.set_ylabel(\"T (K)\")\n", "ax.set_title(\"Heat capacity C controls equilibration speed — same T_eq, different timescales\")\n", "ax.legend(); plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure.** All four runs converge to the same equilibrium temperature — heat capacity $C$ affects the equilibration timescale, not the fixed point. $C=2$ W yr m⁻² (thin atmosphere proxy) equilibrates in ~20 yr; $C=100$ (deep ocean mixed layer) takes ~500 yr. Choose $C$ to match the effective thermal inertia of the system being modelled." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "{}\n" ] } ], "source": [ "# output.to_pyleo returns a pyleoclim Series (or MultipleSeries for multiple vars)\n", "ts_T = output.to_pyleo(var_names=['T'])\n", "ts_T.plot(); plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solver notes\n", "\n", "**RK45** (adaptive, tight tolerances) is the correct choice for `EBM0D`. Fixed-step alternatives (`euler`, `rk4`) converge to the same equilibrium but are less efficient for smooth problems.\n", "\n", "Worked comparisons — RK45 tolerances, Euler vs rk4, and bistability under different tolerances — are in the **`solver_demo`** notebook (`functionality_demos/solver_demo.ipynb`)." ] } ], "metadata": { "kernelspec": { "display_name": "pb_env_jpl", "language": "python", "name": "pb_env_jpl", "path": "/Users/jlanders/Library/Jupyter/kernels/pb_env_jpl" }, "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 4 }