{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Activity 3.1: The effect of ensemble size" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Introduction\n", "\n", "In this activity, we will perform data assimilation using Stochastic Ensemble Kalman filter, where the ensemble is generated by adding different noise to the output of the observation operator, that is, to the model variables mapped to the observations. We are interested in how the ensemble size affects the analysis.\n", "\n", "We will perform identical twin experiments as in the previous activities, but we will now use a Lorenz 96 dynamical model with 12 variables. In this model, the variables represent some atmospheric quantities at specific locations. These locations are placed on a circle and are equally spaced. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from tools.common_misc import gen_obs, rmse_spread, createH\n", "from tools.common_plots import plotRMSP\n", "from tools.L96_model import lorenz96\n", "from tools.L96_kfs import kfs_lor96\n", "from tools.L96_plots import plotL96, plotL96obs, plotL96DA_kf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Compute the Nature Run\n", "\n", "As in the previous activities, we generate trajectories for every variable and assume these to be the truth. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# The initial conditions\n", "model = 'L96'\n", "x0 = None # let it spin from rest (x_n(t=0) = F, for all n )\n", "tmax = 5\n", "Nx = 12\n", "t, xt = lorenz96(tmax, x0, Nx) # Nx>=12\n", "plotL96(t, xt, Nx)\n", "\n", "# imperfect initial guess for our DA experiments\n", "forc = 8.0\n", "aux1 = forc * np.ones(Nx)\n", "aux2 = range(Nx)\n", "x0guess = aux1 + ((-1)*np.ones(Nx))**aux2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Generate observations\n", "\n", "We now generate the observations by adding noise to selected variables at selected times. We don’t have observations for every variable, as in real life; in our example, we will have observations for every second variable. The variables are observed at every 10 time steps. The observations are shown with red dots. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "### 2. The observations\n", "# Decide what variables to observe\n", "obsgrid = '1010'\n", "H, observed_vars = createH(obsgrid, model, Nx)\n", "period_obs = 10\n", "var_obs = 2\n", "\n", "# Generating the observations\n", "seed = 1\n", "tobs, y, R = gen_obs(t, xt, period_obs, H, var_obs, seed)\n", "plotL96obs(t, xt, Nx, tobs, y, observed_vars)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Ensemble size\n", "\n", "In the experiments, we show the analysis for each ensemble member and their mean. The root mean square error of the ensemble mean is compared to the ensemble spread: a good match means that we can trust the ensemble and the uncertainty is estimated well, whereas a spread smaller than the root mean square error signals that the uncertainty is underestimated, and a spread larger than the root mean square error signals the uncertainty is overestimated.\n", "\n", "Recall that an assimilation is performed at every observation time and background is generated for every assimilation. \n", "\n", "Change the size of the ensemble (M), for example set M=2, M=10, M=100. How do the analysis mean and the root mean squared error change? What happens to the ensemble spread? Note the different scales for the root mean squared error. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "### 3. Data assimilation using KFa (SEnKF, LSEnKF and ETKF)\n", "# No LETKF since R-localisation is extremely slow without parallel implementation \n", "rho = 0.1\n", "M = 2\n", "lam = 2\n", "loctype = 'GC'\n", "met = 'SEnKF' \n", "Xb,xb,Xa,xa,locmatrix = kfs_lor96(x0guess,t,tobs,y,H,R,rho,M,met,lam,loctype)\n", "plotL96DA_kf(t,xt,tobs,y,Nx,observed_vars,Xb,xb,Xa,xa)\n", "\n", "rmse_step=1\n", "rmseb,spreadb = rmse_spread(xt,xb,Xb,rmse_step)\n", "rmsea,spreada = rmse_spread(xt,xa,Xa,rmse_step)\n", "plotRMSP(t,rmseb,rmsea,spreadb,spreada)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "M = 10\n", " \n", "Xb,xb,Xa,xa,locmatrix = kfs_lor96(x0guess,t,tobs,y,H,R,rho,M,met,lam,loctype)\n", "plotL96DA_kf(t,xt,tobs,y,Nx,observed_vars,Xb,xb,Xa,xa)\n", "\n", "rmse_step=1\n", "rmseb,spreadb = rmse_spread(xt,xb,Xb,rmse_step)\n", "rmsea,spreada = rmse_spread(xt,xa,Xa,rmse_step)\n", "plotRMSP(t,rmseb,rmsea,spreadb,spreada)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "M = 100\n", " \n", "Xb,xb,Xa,xa,locmatrix = kfs_lor96(x0guess,t,tobs,y,H,R,rho,M,met,lam,loctype)\n", "plotL96DA_kf(t,xt,tobs,y,Nx,observed_vars,Xb,xb,Xa,xa)\n", "\n", "rmse_step=1\n", "rmseb,spreadb = rmse_spread(xt,xb,Xb,rmse_step)\n", "rmsea,spreada = rmse_spread(xt,xa,Xa,rmse_step)\n", "plotRMSP(t,rmseb,rmsea,spreadb,spreada)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Conclusions\n", "\n", "We performed an analysis using the Stochastic Ensemble Kalman filter. Different ensemble sizes were used and we observed its effect on the analysis: a small ensemble may lead to an analysis of poor quality and incorrect uncertainty estimates." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Acknowledgements\n", "\n", "This code has been created by authors from the [Data Assimilation Research Centre](https://research.reading.ac.uk/met-darc/) (DARC) at the [University of Reading](https://www.reading.ac.uk), funded in part by the [Data Assimilation for the REsilient City](https://research.reading.ac.uk/dare/) (DARE) project (EPSRC EP/P002331/1) and the NERC [National Centre for Earth Observation](https://www.nceo.ac.uk) (NCEO)." ] } ], "metadata": { "interpreter": { "hash": "927c36e85ac0d28499f5b45ddfc269ca8443a2b6b1edbc5d133d82372c0ec5ba" }, "kernelspec": { "display_name": "Python 3.9.7 ('dare-da-notebooks')", "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }