{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Singular Spectrum Analysis for NH Monthly Land Temperature\n", "\n", "Singular Spectrum Analysis (SSA) is a powerful nonparametric method of analysis and forecasting of time series. It tries to overcome the problems of finite sample length and noisiness of sampled time series not by fitting an assumed model to the available series, but by using a data-adaptive basis set, instead of the fixed sine and cosine of the BT method.\n", "\n", "The scope of applications of SSA is very wide, from non-parametric time series decomposition and filtration to parameter estimation and forecasting. One of the differences between SSA and the methods of traditional time series analysis is the fact that SSA and SSA-related methods can be applied to quite different and not conventional for classical time series analysis problems such as exploratory analysis for data-mining and parameter estimation in signal processing, among others. For a rigorous and advanced introduction to SSA, please refer to the review paper Ghil et al. (2002) “Advanced spectral methods for climatic time series”, Rev Geophys 40(1): 3.1–3.41. \n", "\n", "In this notebook, we take the datasets of GISTEMP Northern Hemisphere-mean as an example (from 1880 to present). The GISS Surface Temperature Analysis (GISTEMP) is an estimate of global surface temperature change (https://data.giss.nasa.gov/gistemp/). The data is updated around the middle of every month using current data files from NOAA GHCN v3 (meteorological stations), ERSST v5 (ocean areas), and SCAR (Antarctic stations), combined as described in our December 2010 publication (Hansen et al., 2010). The data are presented as anomalies, i.e. deviations from the corresponding 1951-1980 means.\n", "\n", "There are many implementations of SSA such as R, Mathlab and Python. The Python package of [pyssa](https://github.com/aj-cloete/pySSA) is used In this notebook." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Load all needed libraries" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline \n", "\n", "import pandas as pd\n", "import numpy as np\n", "\n", "from mySSA import mySSA # private lib\n", "from matplotlib.pylab import rcParams\n", "rcParams['figure.figsize'] = 11, 4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Read data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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JanFebMarAprMayJunJulAugSepOctNovDec
Year
2012-01-010.790.750.981.351.241.160.990.951.051.091.150.63
2013-01-011.160.951.110.860.920.950.840.810.811.031.201.01
2014-01-011.300.981.441.391.151.000.950.960.931.171.021.43
2015-01-011.421.361.581.241.171.211.031.121.221.391.581.91
2016-01-011.952.492.441.981.401.371.301.401.451.361.371.40
\n", "
" ], "text/plain": [ " Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov \\\n", "Year \n", "2012-01-01 0.79 0.75 0.98 1.35 1.24 1.16 0.99 0.95 1.05 1.09 1.15 \n", "2013-01-01 1.16 0.95 1.11 0.86 0.92 0.95 0.84 0.81 0.81 1.03 1.20 \n", "2014-01-01 1.30 0.98 1.44 1.39 1.15 1.00 0.95 0.96 0.93 1.17 1.02 \n", "2015-01-01 1.42 1.36 1.58 1.24 1.17 1.21 1.03 1.12 1.22 1.39 1.58 \n", "2016-01-01 1.95 2.49 2.44 1.98 1.40 1.37 1.30 1.40 1.45 1.36 1.37 \n", "\n", " Dec \n", "Year \n", "2012-01-01 0.63 \n", "2013-01-01 1.01 \n", "2014-01-01 1.43 \n", "2015-01-01 1.91 \n", "2016-01-01 1.40 " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv(r'data\\NH.Ts.csv', parse_dates=True, index_col='Year', skiprows=1)\n", "df = df['1881':'2016']\n", "df.drop(['SON', 'MAM', 'DJF', 'JJA', 'J-D', 'D-N'], axis=1, inplace=True)\n", "df1 = df.apply(pd.to_numeric, errors='coerce')\n", "df1.tail()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Convert data to monthly time series" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1632, 1)\n" ] } ], "source": [ "tmp = df1.values.astype(np.float)\n", "tmp = tmp.reshape(tmp.shape[0]*12,1)\n", "print(tmp.shape)\n", "\n", "ds = pd.date_range(start='1/1/1881', end='12/1/2016', freq='MS') \n", "ts = pd.DataFrame(tmp, columns=['TEMP']) \n", "ts = ts.set_index(ds)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Have a quick plot" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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a7hBEO+ZAi8at+2JDWBM5jaGoAp8sQ5YlzNvovv+cpmk45+nv0SM/AADYVdWE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\nVs7bVYSy5dN1Gq+bMAif3TAeI3snFj2yJAnhafcXzCOLO+P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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ts.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Carry out SSA analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The general procedure in SSA is as follows:\n", "1. **Embed** the time series by forming a Hankel matrix of lagged window (length K) vectors.\n", "2. **Decompose** the embedded time series via Singular Value Decomposition\n", "3. **Eigentripple Grouping** is the process of identifying eigenvalue-eigenvector pairs as *trend*, *seasonal* and *noise*\n", "4. **Reconstruct** the time series from the eigenvalue-eigenvector pairs identified as *trend* and *seasonal*. This is done through a process called *diagonal averaging*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instantiate a ssa object with the time series" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "ssa = mySSA(ts)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "K = 40\n", "suspected_seasonality = 12" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "----------------------------------------\n", "EMBEDDING SUMMARY:\n", "Embedding dimension\t: 36\n", "Trajectory dimensions\t: (36, 1597)\n", "Complete dimension\t: (36, 1597)\n", "Missing dimension \t: (36, 0)\n" ] } ], "source": [ "ssa.embed(embedding_dimension=40, suspected_frequency=suspected_seasonality, verbose=True)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "----------------------------------------\n", "DECOMPOSITION SUMMARY:\n", "Rank of trajectory\t\t: 36\n", "Dimension of projection space\t: 36\n", "Characteristic of projection\t: 1.0\n" ] } ], "source": [ "ssa.decompose(verbose=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can view the contribution of each of the signals (corresponding to each singular value) as follows:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ssa.view_s_contributions()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the above we can see that most of the variation is contained in the first signal (corresponding to the first singular vector). The scale in the image above makes it difficult to see what's going on with the remaining singular values. \n", "\n", "Pass the argument `adjust_scale=True` to see the eigenvalue groupings more clearly. The scale on the y-axis is meaningless and is removed in this case." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ssa.view_s_contributions(adjust_scale=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have the signal components (there are 15 additive components to the signal) we can loop over that range and look at each one individually. We only look at the first 5 elements below:\n", "\n", "*The additive signal elements are stored in the* `object.Xs` *dictionary.*" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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DWaN6c+HEvsd93cXOYE9WEdc8vYrCskpevmk6o+Oj2jpLxrQp6wo3xrQ7n27P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\npLNybw6ZBWUUl1czsGcYZ47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AtR47PHZL2U6MsRN+Yc5kKJ7OCytEEum8gTyWzCgxWe22IZ7KgDGm3jNakIMi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YvhGYszx7XVW6dvaa7HOJh6Qa+usnB2UbrfMnz2+5cXiz68OQY8tIRBw553hg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+adXcsOwtohyUUS1q7h1eMZPX9qh6/wFV2B5d3YK+SBKPrmo5YOcYD+ztCeOk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Y3vBfD+Nf7zhc93OzmQJ6ogGzNu1qVTpzRtm8f5olKipRjQV92vC6JE3xkM+x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NR4WFHj4USNiRU1Hk7UmFhR4+FEjYmVTT8eKqdToVAoFAqFQrHqKE+nQqFQKBQKhWLVUUanB4SQ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\n4ZvA9lEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rcParams['figure.figsize'] = 11, 2\n", "for i in range(5):\n", " ssa.view_reconstruction(ssa.Xs[i], names=i, symmetric_plots=i!=0)\n", "rcParams['figure.figsize'] = 11, 4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see the result if we reconstruct the signal from these 5 streams. We add the first 5 signals and pass the result to `object.view_reconstruction`." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "streams5 = [i for i in range(5)]\n", "reconstructed5 = ssa.view_reconstruction(*[ssa.Xs[i] for i in streams5], names=streams5, return_df=True, plot=False)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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vz5IlSzj66KOpqamhuLi41fZx48axfPlyQqEQJ5xwAi+//DJnn332nj0ZRVEURVH2Cbwe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\nGwzyJOHUAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ts_copy5 = ssa.ts.copy()\n", "ts_copy5['Reconstruction'] = reconstructed5.Reconstruction.values\n", "ts_copy5.plot(title='Original vs. Reconstructed Time Series[First 5 RCs]');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That looks very reasonable! We can get closer to the original series by adding additional signals from the remaining singular values. Let's use the first 15 singular values:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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0Czd4HmWIyi5wHk/YXOd5jKs8T+c8vrcyjqmNQjtZ22t0PwrsIEU6iOUtzj7A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\nokistJwX1hcyRq2kkAjLKus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lyDXm7+9+w0//Pbtd56vPcPJaC0+//HnLX4KZ3PzmYiY+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WVkpHr6o9lzq25nc/uDyPopknZI+qItrfqLZmzbRS82U5ImBc3LTxMxdJ805loRnZVGUaIg43TI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\n8/352g/GRKPj1XYaw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "streams15 = [i for i in range(15)]\n", "reconstructed15 = ssa.view_reconstruction(*[ssa.Xs[i] for i in streams15], \n", " names=streams15, return_df=True, plot=False)\n", "ts_copy15 = ssa.ts.copy()\n", "ts_copy15['Reconstruction'] = reconstructed15.Reconstruction.values\n", "ts_copy15.plot(title='Original vs. Reconstructed Time Series [First 15 RCs]');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Forecast\n", "\n", "To forecast using only some of the singular values, pass the list of singular value indices to be used to the `forecast_recurrent` method.\n", "\n", "Take a forecast with 10 years ahead (i.e., 120 months) as an instance." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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8iDhyAABLxv8Ji8f9AStuPxWnTxioisawAq8W01jZ4MP8xZUWS6MuFt1Oq9vf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ssa.forecast_recurrent(steps_ahead=120, singular_values=streams15, plot=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "GISTEMP Team, 2017: GISS Surface Temperature Analysis (GISTEMP). NASA Goddard Institute for Space Studies. Dataset accessed 20YY-MM-DD at https://data.giss.nasa.gov/gistemp/.\n", "\n", "Hansen, J., R. Ruedy, M. Sato, and K. Lo, 2010: Global surface temperature change, Rev. Geophys., 48, RG4004, doi:10.1029/2010RG000345.\n", "\n", "Ghil M., R. M. Allen, M. D. Dettinger, K. Ide, D. Kondrashov, M. E. Mann, A. Robertson, A.Saunders, Y. Tian, F. Varadi, and P. Yiou, 2002: \"Advanced spectral methods for climatic time series,\" Rev. Geophys.,40(1), pp. 3.1-3.41, 10.1029/2000RG000092.\n", "Wes McKinney. Data Structures for Statistical Computing in Python, Proceedings of the 9th Python in Science Conference, 51-56 (2010)\n", "\n", "Stéfan van der Walt, S. Chris Colbert and Gaël Varoquaux. The NumPy Array: A Structure for Efficient Numerical Computation, Computing in Science & Engineering, 13, 22-30 (2011), DOI:10.1109/MCSE.2011.37" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }