{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Red noise\n", "> Simple red noise null hypothesis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Hasselmann (as explained by Dommenget and Latif, 2000)\n", "\n", "Hasselmann (1976) attempts to explain the mechanism of natural climate variabilty by dividing the climate system into a fast system and a slow system. The fast system could be the atmosphere, represented as white noise. The slower component is the ocean and is explained by the integration of white noise (AR-1). In this picture the ocean is merely a passive part of the climate system, which amplifies long-term variability, due to its large heat capacity, but dynamical processes in the ocean are not considered.\n", "\n", "The resulting stochastic model of the SST variability is described by an autoregressive process of the first order, which is the simplest statistical model that can be applied to a stationary process. The stochastic climate model by Hasselmann is tehrefore often chosen as the null hypothesis of SST variability.\n", "\n", "Slab ocean-atmosphere models can be regarded as a numerical realization of the null hypothesis (AR(1)-process) of Hasselmann's stochastic climate model. \n", "\n", "The null hypothesis of SST variability in the midlatitudes, described by Hasselmann's stochastic climate model, assumes that the SST variability is well described by the integration of the atmospheric heat flux with the heat capacity of the ocean's mixed layer.\n", "\n", "$\\frac{d SST}{dT} = \\frac{1}{C_p \\rho_w d_{mix}}* F + \\Delta T_c$\n", "\n", "$C_p$ = specifc heat of sea water\n", "\n", "$\\rho_w$ = density of sea water\n", "\n", "$d_{mix}$ = depth of mixed layer\n", "\n", "$F$ = net atmospheric heat flux\n", "\n", "$\\Delta T_c$ = climatology temperature correction\n", "\n", "The only free parameter in this eqaution is the mixed layer depth, which was chosen to be 50 meters for all points. This value is roughly the global mean vlaue for the mixed layer depth as was determinded from the observations by Levitus (1982).\n", "\n", "## Redness of the SST anomalies\n", "\n", "The standard deviation of the SST anoamlies do not aloine describe the large-scale character of the SST varaiblity. An important feature of the SSt variability is the increase of the variance in the SST power spectra with period, which is the so called redness of the spectra. If the SST anomalies follow an AR(1)-process than the redness can be estimated by the lag-1 correlation.\n", "\n", "$C(\\omega) = \\frac{\\sigma^2}{(1-\\alpha)^2+\\omega^2}$\n", "\n", "$\\sigma$ = standard deviation\n", "\n", "$\\omega$ = frequency\n", "\n", "$\\alpha$ = lag-1 correlation based on monthly mean time series\n", "\n", "The increase of $C(\\omega)$ is only a function of $\\alpha$, hence the redness $Q_{red}$ can be defined as\n", "\n", "$Q_{red}$ = $\\frac{1}{(1-\\alpha)^2}$\n", "\n", "## Conclusions\n", "\n", "1. fully coupled models are signifcantly different in terms of large-scale features of the SST variability than slab ocean models\n", "2. only slab ocean models can be regarded as an AR(1) process\n", "\n", "The diference between the AR(1)-process and the SST spectra in the simulations with fully dynamical ocean models is characterized by a slower increase of the SST variance from the shorter time periods to the longer time periods, which leads to increased variance of the SST on the seasonal and the decadal timescale relative to the fitted AR(1)-process.\n", "AMO and AMOC." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Simple red noise null hypothesis" ] }, { "cell_type": "code", "execution_count": 111, "metadata": {}, "outputs": [], "source": [ "#hide_input\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "c1 = 1\n", "c2 = 0.86\n", "c3 = 0.01\n", "\n", "f, ax = plt.subplots(3, figsize = (12,4))\n", "ax = ax.ravel()\n", "\n", "for realisation in range(0,3):\n", " \n", " white_noise_sequence = np.random.normal(0, 1, 1000)\n", " red_noise_sequence1 = np.zeros((len(white_noise_sequence)))\n", " red_noise_sequence2 = np.zeros((len(white_noise_sequence)))\n", " red_noise_sequence3 = np.zeros((len(white_noise_sequence)))\n", "\n", " for i in range(1, len(white_noise_sequence)):\n", " \n", " red_noise_sequence1[i] = c1 * red_noise_sequence1[i-1] + white_noise_sequence[i]\n", " red_noise_sequence2[i] = c2 * red_noise_sequence2[i-1] + white_noise_sequence[i]\n", " red_noise_sequence3[i] = c3 * red_noise_sequence3[i-1] + white_noise_sequence[i]\n", "\n", " ax[0].plot(red_noise_sequence1) \n", " ax[1].plot(red_noise_sequence2) \n", " ax[2].plot(red_noise_sequence3) " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.2" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }