{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Active Subspaces for Sensitivity Analysis and Dimension Reduction of an Integrated Hydrologic Model\n", "\n", "__Jennifer Jefferson__, Colorado School of Mines, \n", "\n", "__James Gilbert__, Colorado School of Mines, \n", "\n", "__Paul Constantine__, Colorado School of Mines, \n", "\n", "__Reed Maxwell__, Colorado School of Mines, \n", "\n", "__Ryan Howard__, Colorado School of Mines, \n", "\n", "
\n", "\n", "In this notebook, we'll be summarizing the active subspaces-based uncertainty quantification on an integrated hydrologic model, presented in [[1]][R1].\n", "\n", "### Introduction\n", "\n", "Weather and climate conditions are very dependent on energy fluxes into and out of the land surface. For example, evaporation and its eventual precipitation are dependent on latent heat fluxes (which redistribute water between land and the atmosphere) and sensible and ground heat fluxes (which determine the land surface and subsurface temperatures). It is difficult to directly measure such quantities, so hydrologic models have arisen to estimate these fluxes and their effects. These models can be complex, requiring 10 to 50 input parameters, and many of these parameters are difficult to measure accurately. This introduces uncertainty, and the effect of this uncertainty on model output is important to understand the model's efficacy.\n", "\n", "### The Integrated Hydrologic Model\n", "\n", "Integrated hydrologic models combine elements of groundwater and land surface models, accounting for water flow in saturated and unsaturated subsurface regions and variation in water table depth. These models should represent natural systems more realistically than the alternatives, but they have been historically less well studied. We'll be using the ParFlow-Common Land Model (PF-CLM) and studying 19 of its land surface parameters and how they relate to the heat fluxes. The PF-CLM is a set of PDEs and algebraic equations that can be numerically approximated to obtain estimates of latent, sensible, and ground heat fluxes. The 19 parameters we study are described in the table below.\n", "\n", "Variable|Name|distribution (U(min, max) or LN(mu, sigma))\n", ":-------|:---|:----\n", "Maximum Dew on Canopy|dewmx|U(.05, .15)\n", "Leaf area index (maximum)|lai|U(1, 4)\n", "Leaf area index (minimum)|\tlai0|\tU(0.05, 3)\n", "Stem area index|\tsai|\tU(0.5, 4)\n", "Leaf and stem orientation index|\txl|\tU(−0.3, 0.4)\n", "Leaf dimension|\tdleaf|\tU(0, 0.16)\n", "Leaf reflectance (visible light)|\trhol_vis|\tU(0.06, 0.13)\n", "Leaf reflectance (near infrared light)|\trhol_nir|\tU(0.35, 0.55)\n", "Stem reflectance (visible light)|\trhos_vis|\tU(0.3, 0.4)\n", "Stem reflectance (near infrared light)|\trhos_nir|\tU(0.5, 0.6)\n", "Leaf transmittance (visible light)|\ttaul_vis|\tU(0.01, 0.09)\n", "Leaf transmittance (near infrared light)|\ttaul_nir|\tU(0.1, 0.45)\n", "Stem transmittance (visible light)|\ttaus_vis|\tU(0.15, 0.25)\n", "Stem transmittance (near infrared light)|\ttaus_nir|\tU(0.3, 0.4)\n", "Field capacity|\tfieldcap|\tU(0.3, 1)\n", "Wilting point|\twiltpt|\tU(0.1, 0.3)\n", "Aerodynamic roughness length (bare soil)|\tz0m|\tLN(−8.83, 1.47)\n", "Aerodynamic roughness length (grass)|\tz0m|\tLN(−5.11, 0.52)\n", "Soil color|\tsoilcol|\tU(1, 8)\n", "Water table depth (below surface)|\twatertable|\tU(−10, −1)\n", "\n", "Two domains were simulated: a single column domain and a tilted-v domain, a primary difference being the absence (single column) or presence (tilted-v) of lateral water flow. Each domain was run with uniform cover of bare soil (which takes only the final 3 parameters) or grass, totaling 4 simulation classes, one for each combination of (single column or tilted-v) and (bare soil or grass). The simulations require several atmospheric inputs, for which meteorological data from the Little Washita watershed in Oklahoma was used, and subsurface parameters were set to nominal values since we are only concerned with sensitivity to surface parameters.\n", "\n", "### Active Subspaces\n", "\n", "We'll be using active subspaces to study the relationship between the PF-CLM's 19 parameters and our quantities of interest (latent, sensible, and ground heat). The active subspaces methodology identifies important directions in the input space, along which the output changes more than in the orthogonal directions (see [[2]][R2] and [3] for more details). The important directions are defined by the eigenvectors of a matrix computed from the gradient of the output with respect to the parameters. We don't have direct access to this gradient for the PF-CLM and using a finite difference approximation would be computationally infeasible (requiring 19 additional model evaluations per gradient sample), so we use the following algorithm to identify the _single_ most important direction in the input space: for $M$ sets of inputs $\\{\\mathbf x_i\\}_{i=1}^M$ and corresponding outputs $\\{f_i\\}$, use least squares to find the coefficients, $\\hat a_0$ and $\\hat{\\mathbf a}$, of the linear model $f_i = a_0 + \\mathbf a^T\\mathbf x_i$; the important direction in the input space is $\\hat{\\mathbf w} = {\\hat{\\mathbf a}}/{||\\hat{\\mathbf a}||}$. If we observe a tight univariate trend when plotting $f_i$ vs $\\hat{\\mathbf w}^T\\mathbf x_i$, we can reasonably approximate $f(\\mathbf x)\\approx g(\\hat{\\mathbf w}^T\\mathbf x)$, where $f$ represents the quantity of interest as a function of the inputs and $g$ is a function constructed from the pairs $(\\hat{\\mathbf w}^T\\mathbf x_i,\\ f_i)$.\n", "\n", "### References:\n", "\n", "[[1]][R1] J.L. Jefferson, J.L. Gilbert, P.G. Constantine, R.M. Maxwell. _Active subspaces for sensitivity analysis and dimension reduction of an integrated hydrologic model_. Comput. Geosci., 83, 127-138, 2015\n", "\n", "[[2]][R2] P.G. Constantine, E. Dow, and Q. Wang. _Active subspaces in theory and practice: applications to kriging surfaces_. SIAM J. Sci. Comput., 36(4), A1500–A1524, 2014\n", "\n", "[[3]][R3] P.G. Constantine. _Active Subspaces: Emerging Ideas for Dimension Reduction in Parameter Studies_. SIAM, 2015.\n", "\n", "### Acknowledgments\n", "\n", "This material is based upon work supported by the U.S. Department of Energy Office of Science, Office of Advanced Scientific Computing Research, Applied Mathematics program under Award Number DE-SC-0011077.\n", "\n", "
\n", "\n", "We'll now code up the analysis using the [Python Active-subspaces Utility Library](https://github.com/paulcon/active_subspaces). We'll only be presenting the single column domain; for the details of the tilted-v domain, see [[1]][R1]. We'll also be using updated model evaluations compared to [[1]][R1]; because of this, the figures presented will look slightly different than in the paper. The significant conclusions are the same.\n", "\n", "[R1]: http://dx.doi.org/10.1016/j.cageo.2015.07.001\n", "[R2]: http://dx.doi.org/10.1137/130916138\n", "[R3]: http://dx.doi.org/10.1137/1.9781611973860" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import active_subspaces as ac\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pn\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Read the data (inputs and outputs) from files and order the inputs as we want." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#Read input parameters\n", "inputs_bare = pn.read_csv('SC_ScatterParameters_bare.txt', sep=' ')\n", "inputs_grass = pn.read_csv('SC_ScatterParameters_grass.txt', sep=' ')\n", "\n", "#Match ordering of the paper\n", "ordering = ['dewmx', 'lai', 'lai0', 'sai', 'xl', 'dleaf', 'rhol_vis', 'rhol_nir',\\\n", " 'rhos_vis', 'rhos_nir', 'taul_vis', 'taul_nir', 'taus_vis', 'taus_nir',\\\n", " 'fieldcap', 'wiltpt', 'z0m', 'soilcol', 'watertable']\n", "inputs_grass = inputs_grass[ordering]\n", "\n", "ordering = ['z0m', 'soilcol', 'watertable']\n", "inputs_bare = inputs_bare[ordering]\n", "\n", "#Change dataFrames to matrices, use log(z0m) instead of z0m\n", "X_bare = inputs_bare.as_matrix()[:,:]\n", "X_grass = inputs_grass.as_matrix()[:,:]\n", "X_bare[:,-3], X_grass[:,-3] = np.log(X_bare[:,-3]), np.log(X_grass[:,-3])\n", "\n", "#lists of parameter labels\n", "in_labels_bare = inputs_bare.keys()\n", "in_labels_grass = inputs_grass.keys()\n", "\n", "#Read outputs\n", "outputs_bare = pn.read_csv('ScatterSummary_bare.txt', sep=' ', header=None).as_matrix()\n", "outputs_grass = pn.read_csv('ScatterSummary_grass.txt', sep=' ', header=None).as_matrix()\n", "\n", "#LH = latent heat, SH = sensible heat, GH = ground heat\n", "LH_bare, LH_grass = outputs_bare[:,0], outputs_grass[:,0]\n", "SH_bare, SH_grass = outputs_bare[:,1], outputs_grass[:,1]\n", "GH_bare, GH_grass = outputs_bare[:,2], outputs_grass[:,2]\n", "outputs_bare = [LH_bare, SH_bare, GH_bare]\n", "outputs_grass = [LH_grass, SH_grass, GH_grass]\n", "\n", "out_labels = ['Total Latent Heat', 'Total Sensible Heat', 'Total Ground Heat']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Normalize the uniform inputs to the interval $[-1, 1]$ and normalize the normal inputs (log(z0m)) to be $\\frac{x - \\mu}{\\sigma}$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#Upper and lower limits on uniform-bounded inputs\n", "yl = np.array([.05, 1, .05, .5, -.3, 0, .06, .35, .3, .5, .01, .1, .15, .3, .3, .1, 1, -10])\n", "yu = np.array([.15, 4, 3, 4, .4, .16, .13, .55, .4, .6, .09, .45, .25, .4, 1, .3, 8, -1])\n", "\n", "#Normalize Uniform-bounded inputs\n", "Y_bare = X_bare[:,1:]\n", "Y_bare = ac.utils.misc.BoundedNormalizer(yl[-2:], yu[-2:]).normalize(Y_bare)\n", "Y_grass = np.hstack((X_grass[:,:-3], X_grass[:,-2:]))\n", "Y_grass = ac.utils.misc.BoundedNormalizer(yl, yu).normalize(Y_grass)\n", "\n", "#Normalize Gaussian inputs, combine with normalized Uniform inputs\n", "z0m_bare = ((X_bare[:,-3] + 8.83)/1.47).reshape(X_bare.shape[0], 1)\n", "z0m_grass = ((X_grass[:,-3] + 5.11)/.52).reshape(X_grass.shape[0], 1)\n", "XX_bare = np.hstack((z0m_bare, Y_bare))\n", "XX_grass = np.hstack((Y_grass[:,:-2], z0m_grass, Y_grass[:,-2:]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each of the 6 combinations of (bare or grass) and one of (latent, sensible, or ground) get a subspace object. Compute the active subspace (the sstype=5 flag specifies to use the algorithm described above)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#instantiate subspace objects, compute OLS subspaces for each output for bare soil\n", "ss_bare_LH = ac.subspaces.Subspaces()\n", "ss_bare_SH = ac.subspaces.Subspaces()\n", "ss_bare_GH = ac.subspaces.Subspaces()\n", "ss_bare = [ss_bare_LH, ss_bare_SH, ss_bare_GH]\n", "for i in range(3):\n", " ss_bare[i].compute(X=XX_bare, f=outputs_bare[i][:,None], nboot=500, sstype='OLS')\n", "\n", "#Set up subspaces for grass-covered soil\n", "ss_grass_LH = ac.subspaces.Subspaces()\n", "ss_grass_SH = ac.subspaces.Subspaces()\n", "ss_grass_GH = ac.subspaces.Subspaces()\n", "ss_grass = [ss_grass_LH, ss_grass_SH, ss_grass_GH]\n", "for i in range(3): \n", " ss_grass[i].compute(X=XX_grass, f=outputs_grass[i][:,None], nboot=500, sstype='OLS')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot components of $\\hat{\\mathbf w}$ for grass-covered soil (blue) and bare soil (red) for each heat output. See also Figure 5 of [[1]][R1] (recall that we're using updated data, so the figures will look slightly different. Also, since normalized eigenvectors are unique up to a sign, some plots may appear vertically flipped compared to the paper).\n", "\n", "[R1]: http://dx.doi.org/10.1016/j.cageo.2015.07.001" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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70SIu2bAhqxNsM0k3NekLgTtTSvdNb6Tpk+uZ9FyMjY0xb96ZbNx4Iez2kh+3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fBVdXYv9ktfLu97LTlnr6eZIv3NwLXdvL4E2HjN4oiIiIiIiKRt/PjdaG+f1+0+7e1zmTBh93IC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JRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Plot eigenvector components\n", "fig = plt.figure(figsize=(14,15))\n", "for i in range(3):\n", " ax = fig.add_subplot(3,1,i+1)\n", " if i == 0: ax.set_title('Single Column Active Variable Weights', fontsize=20)\n", " ax.set_ylim([-1,1]); ax.set_ylabel(out_labels[i], fontsize=18)\n", " ax.set_xlim([0,XX_grass.shape[1]+1]); ax.set_xticks(range(1,XX_grass.shape[1]+1))\n", " ax.grid(True, alpha=.4)\n", " ax.hlines(0, 0, 20, linestyles='dashed', colors='k')\n", " ax.set_xticklabels(in_labels_grass, rotation='vertical', fontsize=14)\n", " ax.plot(range(1,20), ss_grass[i].W1, 'bo', range(17,20), ss_bare[i].W1, 'ro', ms=10)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The magnitude of each component tells us how sensitive the output is to that variable; the output tends to change more with variables with large-magnitude components compared to those with small-magnitude components. For latent heat (for grass-covered soil), we can see that lai (leaf area index), fieldcap (field capacity), wiltpt (wilting point), and watertable (water table depth) strongly affect latent heat; all the other parameters have components close to 0, indicating little effect by them. Likewise, rhol_nir, taul_nir, fieldcap, wiltpt, and watertable strongly affect sensible heat, and lai, sai, and xl affect ground heat. We can see large weight on the three bare-soil parameters in all three cases, except watertable for ground heat. The most significant variables for bare soil are z0m (aerodynamic roughness length) for latent and ground heat and soilcol (soil color) for sensible heat.\n", "\n", "
\n", "\n", "Now we plot the quantities of interest vs the active variable ($\\hat{\\mathbf w}^T\\mathbf x$) (blue dots) and a quadratic response surface (black line) with confidence limits (dark blue shading) and prediction limits (light blue shading). See also Figure 5 of [[1]][R1]. Again recall that since we're using updated data, these graphs will look different from the paper, and if an eigenvector is sign-flipped compared to the paper, the corresponding graph will be horizontally flipped.\n", "\n", "[R1]: http://dx.doi.org/10.1016/j.cageo.2015.07.001" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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pGhujCQ29eeMnk8nEvn0Z+PlNJyVlnsvn9Iia5M4mNXNC9C4NDQ1s23aEurox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\ntlgs1NZms3DhFLdWu3BnJrk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5YPs/cctNetsJDl5OZORaGhoO8PDDszqUIBsMZVgsGaxa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WmtNTk5OSQnH6GqKgR//8lUVGRw8OD3qKzMYuDAZURH/xlv7yEANDZWU1a2jyFDmpg/fwb9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h6NAejBz5HUlJDyN9gn27An61PXcBHgUSkMt4EnAxw3bI3P+4k5Z2B488soA+feKZMOH1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\niRNnMnBgP5Ys2Qf8iuLiL9mz5/+Rm/sWK1cOZvjwc/BVgRJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import ticker\n", "\n", "#Response surface object\n", "RS = ac.utils.response_surfaces.PolynomialApproximation()\n", "\n", "#Confidence limits (prediction iff pred = 1.0) using +/- 2.33 std errors\n", "def conflim(x, f, y, pred=0):\n", " M = len(y)\n", " sf = np.sqrt(sum((f - RS.predict(y)[0].reshape(f.shape))**2)/(M - 3))\n", " sy = sum((y - y.mean())**2)\n", " return [RS.predict(x)[0] - 2.33*sf*np.sqrt(pred + 1./M + (x - y.mean())**2/sy),\n", " RS.predict(x)[0] + 2.33*sf*np.sqrt(pred + 1./M + (x - y.mean())**2/sy)]\n", "\n", "titles = ['Bare Soil', 'Grass']\n", "subspaces = [ss_bare, ss_grass]\n", "XX = [XX_bare, XX_grass]\n", "f = [outputs_bare, outputs_grass]\n", "\n", "#Plot output vs active variable with confidence and prediction limits\n", "fig = plt.figure(figsize=(10,15))\n", "for i in range(6):\n", " ax = fig.add_subplot(3,2,i+1)\n", " ax.set_title(titles[i%2])\n", " ax.set_xlim([-3,3])\n", " if i%2 == 0: ax.set_ylabel(out_labels[i/2], fontsize=18)\n", " ax.grid(True)\n", " if i/2 == 2: ax.set_xlabel('Active Variable')\n", " \n", " #plot data, prediction, confidence/prediction limits\n", " N = 500\n", " x = np.linspace(-3, 3, N)[:,None]\n", " y = XX[i%2].dot(subspaces[i%2][i/2].W1)\n", " RS.train(y, f[i%2][i/2][:,None])\n", " clims = conflim(x, f[i%2][i/2], y)\n", " plims = conflim(x, f[i%2][i/2], y, 1.0)\n", " ax.plot(y, f[i%2][i/2], 'bo', x, RS.predict(x)[0], 'k-', lw=1.5, ms=8)\n", " ax.fill_between(x.reshape(N,), clims[0].reshape(N,), clims[1].reshape(N,), alpha=.5)\n", " ax.fill_between(x.reshape(N,), plims[0].reshape(N,), plims[1].reshape(N,), alpha=.3)\n", " ax.text(.6, .05, r'$R^2 = $' + '{:.2f}'.format(RS.Rsqr),\\\n", " transform=ax.transAxes, fontsize=16)\n", " \n", " #scientific notation on y axis\n", " formatter = ticker.ScalarFormatter(useMathText=True)\n", " formatter.set_scientific(True) \n", " formatter.set_powerlimits((-1, 1)) \n", " ax.yaxis.set_major_formatter(formatter)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some intuition of the physical system can help to explain some of our results. For example, there is a tighter trend in the case of ground heat compared to latent and sensible heats, and this could be caused by watertable being weighted lowly for ground compared to latent and sensible. Water table depth can heavily influence energy fluxes because conditions can change from dry to moist or vice-versa within a short time; these variations could introduce nonlinear behavior that we can't capture with linear models.\n", "\n", "
\n", "\n", "Summary plots and response surfaces can be used for several purposes. For example, suppose we fixed parameters at nominal values (see Table 2 of [[1]][R1]) and we were intersted in the effect of increasing or decreasing the leaf area index (lai) by 1. It is straightforward to find the active variable values associated with these cases and evaluate the response surface at these values for predictions of the effects, and this can be easily visualized because of the low-dimensional nature of the subspace. We can also use response surfaces for the inverse problem; we observe data, use the response surface to find the active variable value(s) that we expect to produce our observations, and invert the map from inputs to the active variable to find sets (ranges) of input values that would produce what we observe. We illustrate these examples below (see also Figure 8 of [[1]][R1]).\n", "\n", "[R1]: http://dx.doi.org/10.1016/j.cageo.2015.07.001" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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U3ejR0Lt3bBVQUrDKlSv7jiAiUiSHbky9G5hK+fJj2L9/MRde2JNrrhlOq1at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\nph1ZsuR5+vTpEzucdRb7TX5j4LOkr+cl9lUlAM+a2etmdmJOIxMRyZD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Nominal input values\n", "input_nominal = np.array([.1, 2, .5, 4, -.3, .04, .11, .58, .36, .58, .07,\\\n", " .25, .22, .38, 1, .1, np.log(.03), 2, -1])[None,:]\n", "\n", "#normalize nominal inputs\n", "Y_nom = np.hstack((input_nominal[:,:-3], input_nominal[:,-2:]))\n", "Y_nom = ac.utils.misc.BoundedNormalizer(yl, yu).normalize(Y_nom)\n", "z0m_nom = ((input_nominal[:,-3] + 5.11)/.52).reshape(input_nominal.shape[0], 1)\n", "XX_nom = np.hstack((Y_nom[:,:-2], z0m_nom, Y_nom[:,-2:]))\n", "\n", "#nominal active variable value\n", "y_nom = XX_nom.dot(ss_grass_LH.W1)\n", "#Train the response surface with grass LH data\n", "RS.train(XX_grass.dot(ss_grass_LH.W1), LH_grass[:,None])\n", "#Nominal output value\n", "f_nom = RS.predict(y_nom)[0]\n", "\n", "#values of active variable, predicted output for lai + 1\n", "XX_laip1 = XX_nom.copy(); XX_laip1[0,1] = 2.*(3-1)/3.-1.; \n", "y_laip1 = XX_laip1.dot(ss_grass_LH.W1)\n", "f_laip1 = RS.predict(y_laip1)[0]\n", "\n", "#values of active variable, predicted output for lai - 1\n", "XX_laim1 = XX_nom.copy(); XX_laim1[0,1] = 2.*(1-1)/3.-1.; \n", "y_laim1 = XX_laim1.dot(ss_grass_LH.W1)\n", "f_laim1 = RS.predict(y_laim1)[0]\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(14,7))\n", "\n", "#The effects of perturbing lai by 1\n", "x = np.linspace(-3, 1, 500)[:,None]\n", "axes[0].plot(x, RS.predict(x)[0])\n", "axes[0].hlines(f_nom, -3, y_nom, linestyles='dotted', linewidth=2)\n", "axes[0].vlines(y_nom, .5e6, f_nom, linestyles='dotted', linewidth=2)\n", "axes[0].fill_between(x[x <= y_laip1], f_laim1.squeeze(), f_laip1.squeeze(),\\\n", " alpha=.3, linewidth=0)\n", "axes[0].fill_between(x[np.logical_and(x >= y_laim1, x <= y_laip1)], .5e6,\\\n", " f_laim1.squeeze(), alpha=.3, linewidth=0)\n", "axes[0].set_ylabel(out_labels[0], fontsize=18)\n", "axes[0].set_xlabel('Active Variable', fontsize=18)\n", "axes[0].text(.2, .52, 'lai = 2', transform=axes[0].transAxes, fontsize=14)\n", "axes[0].text(.2, .7, 'lai = 3', transform=axes[0].transAxes, fontsize=14)\n", "axes[0].text(.2, .32, 'lai = 1', transform=axes[0].transAxes, fontsize=14)\n", "\n", "#visualization of the inverse problem\n", "axes[1].plot(x, RS.predict(x)[0])\n", "axes[1].set_xlabel('Active Variable', fontsize=18)\n", "axes[1].arrow(0, .7, .87, 0, transform=axes[1].transAxes)\n", "axes[1].arrow(.9, .7, 0, -.67, transform=axes[1].transAxes)\n", "axes[1].text(.0, .71, 'Observed Data', transform=axes[1].transAxes, fontsize=14)\n", "\n", "#Scientific notation on y axes\n", "formatter = ticker.ScalarFormatter(useMathText=True)\n", "formatter.set_scientific(True) \n", "formatter.set_powerlimits((-1, 1)) \n", "axes[0].yaxis.set_major_formatter(formatter); axes[1].yaxis.set_major_formatter(formatter)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The presence of an exploitable active subspace in this model serves as a proof-of-concept in the application of this methodology to hydrologic models. Active subspaces may be present in other hydrologic models for various domains, climate conditions, and sets of input parameters. The dimension reduction provided by these methods, especially for expensive, high-dimensional models, could aid in making accurate and timely predictions, optimizing output over the input space, or calibrating parameters, and if a sufficiently accurate approximation is found in the active subspace for a particular case, expensive simulation could be eschewed altogether in that case." ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }