From e72f7ec910e89ac27803f0dba75123519cf335b5 Mon Sep 17 00:00:00 2001 From: Jessica Lundquist Date: Fri, 19 Nov 2021 05:42:24 +0000 Subject: [PATCH] fixed h0/b typo thing in lab 7-3 and hw 7 --- modules/lab7/lab7-3.ipynb | 163 ++++++++++++++++++++++++++++++-------- modules/module7.md | 6 +- 2 files changed, 134 insertions(+), 35 deletions(-) diff --git a/modules/lab7/lab7-3.ipynb b/modules/lab7/lab7-3.ipynb index 1d65d864..73d1f0d0 100644 --- a/modules/lab7/lab7-3.ipynb +++ b/modules/lab7/lab7-3.ipynb @@ -96,7 +96,13 @@ { "cell_type": "code", "execution_count": 4, - "metadata": {}, + "metadata": { + "collapsed": true, + "jupyter": { + "outputs_hidden": true + }, + "tags": [] + }, "outputs": [ { "data": { @@ -356,7 +362,12 @@ { "cell_type": "code", "execution_count": 3, - "metadata": {}, + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [] + }, "outputs": [ { "data": { @@ -384,7 +395,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -457,7 +468,7 @@ "4 [8/20/07 18:22] 0.2565 0.243489" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -477,7 +488,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -486,7 +497,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -559,7 +570,7 @@ "4 2007-08-20 18:22:00 0.2565 0.243489" ] }, - "execution_count": 6, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -582,16 +593,16 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 7, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, @@ -619,16 +630,16 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 8, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, @@ -684,10 +695,11 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ + "# Define a level where the transition occurs, where you need different rating curve coefficients.\n", "h11 = 0.59" ] }, @@ -700,7 +712,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -708,6 +720,84 @@ "h_now = df.h1[df.h1 > h11]" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In developing this rating curve, we are trying to solve for a, b, and c in the equation\n", + "$Q = a(h-b)^c$\n", + "\n", + "When we take the log of both sides, we get\n", + "$log(Q) = log(a) + c*log(h-b)$\n", + "Note that we can use linear regression to solve for $log(a)$ -- this would be $B0$ in earlier code -- and for $c$ -- this would be $B1$ in earlier code. Note that we cannot directly solve for $b$. We have to guess $b$ (based on observations in the field or an iterative technique)." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "36 0.3296\n", + "37 0.3344\n", + "38 0.3558\n", + "39 0.3572\n", + "40 0.3637\n", + "41 0.364\n", + "42 0.393\n", + "43 0.3953\n", + "44 0.3957\n", + "45 0.4025\n", + "46 0.4073\n", + "47 0.416\n", + "48 0.416\n", + "49 0.4261\n", + "50 0.432\n", + "51 0.444\n", + "52 0.4569\n", + "53 0.4643\n", + "54 0.465\n", + "55 0.4857\n", + "56 0.504\n", + "57 0.5068\n", + "58 0.5342\n", + "59 0.5414\n", + "60 0.556\n", + "61 0.5697\n", + "62 0.5715\n", + "63 0.6554\n", + "64 0.6685\n", + "65 0.6691\n", + "66 0.6703\n", + "67 0.687\n", + "68 0.6881\n", + "69 0.6952\n", + "70 0.7049\n", + "71 0.709\n", + "72 0.714\n", + "73 0.8006\n", + "74 0.8274\n", + "75 0.829\n", + "76 0.829\n", + "77 0.8334\n", + "78 0.8481\n", + "Name: h1, dtype: object\n" + ] + } + ], + "source": [ + "# based on field measurements, we know b must be between 10 and 50 cm, \n", + "# which is the same as 0.1 to 0.5 meters. \n", + "# We start with a guess.\n", + "b=0.28\n", + "# and we subtract this value off of the measured stream height\n", + "hobs_minusb=h_now.subtract(b)\n", + "print(hobs_minusb)" + ] + }, { "cell_type": "code", "execution_count": 11, @@ -716,7 +806,7 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, "execution_count": 11, @@ -725,7 +815,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -738,7 +828,8 @@ ], "source": [ "#And plot the log transform of both variables\n", - "loght=np.log(h_now.astype('float'))\n", + "loght=np.log(hobs_minusb.astype('float'))\n", + "# note that the above is taking the log of the observed values minus b\n", "logQ=np.log(Qobs_now.astype('float'))\n", "\n", "plt.figure(figsize=(9,6))\n", @@ -757,7 +848,7 @@ "which we have log transformed to be\n", "$log(Q) = log(a) + c*log(h-b)$\n", "\n", - "First, we will assume that b is 0.28 m. In practice, this is often estimated from field surveys as the maximum height of water in the measuring pool when flow stops.\n", + "First, we will assume that b is 0.28 m, as we entered above. In practice, this is often estimated from field surveys as the maximum height of water in the measuring pool when flow stops.\n", "\n", "We then use the same code from basic linear regresssion (Lab 4.3), where our calculated slope will be c, and our calculated intercept will be log(a)." ] @@ -771,13 +862,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "B0 : 2.8277\n", - "B1 : 2.6902\n" + "B0 : 3.4077\n", + "B1 : 1.7662\n" ] } ], "source": [ "x=loght\n", + "# Note that our x value here includes the log of our measured stage minus b (see above)\n", "y=logQ\n", "n = len(x)\n", "\n", @@ -788,9 +880,16 @@ "print('B1 : {}'.format(np.round(B1,4)))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Just to clarify what we have here. $B0 = log(a)$ and $B1 = c$ and $x = log(h-b)$. If we want to revert to our original equation, we solve for $a = exp(B0)$ and $c = B1$ and $h = exp(x) + b$ " + ] + }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -829,22 +928,22 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 17, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -869,22 +968,22 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 19, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -900,7 +999,7 @@ "Q_predict=np.exp(p_y)\n", "Q_predict_upper=np.exp(p_y_upper)\n", "Q_predict_lower=np.exp(p_y_lower)\n", - "x_topredict=np.exp(p_x)\n", + "x_topredict=np.exp(p_x) + b\n", "# Plot the original data and then the prediction lines\n", "plt.figure(figsize=(9,6))\n", "\n", @@ -917,7 +1016,7 @@ "metadata": {}, "source": [ "#### Work on your own\n", - "Now, repeat the above but with different estimates of what b must be. Create one plot with multiple estimates of b and see how uncertain that component of the equation is in relation to parameters a and c." + "Now, repeat the above but with different estimates of what b must be. Create one plot with multiple estimates of b and see how uncertain that component of the equation is in relation to parameters a and c. Note that you do not need to repeat the 95% confidence intervals with each step. Just make plots of the different predicted lines along with the observations for b = 0.10, 0.20, 0.30, 0.40, and 0.50 m." ] }, { diff --git a/modules/module7.md b/modules/module7.md index 78672e77..304ab995 100644 --- a/modules/module7.md +++ b/modules/module7.md @@ -38,10 +38,10 @@ C) Using this randomly generated data, answer the following questions. Following the class discussion and Lab 7-3, explore how the rating curve and the 95% confidence intervals for the Lyell Fork streamflow site change depending on the method you use to determine the rating curve: -- Least squares linear regression fitting (with transformed variables) using h0 = 28 cm +- Least squares linear regression fitting (with transformed variables) using b = 0.28 m - Make 95% confidence intervals around this regression fit - - Then, assume that we don't know exactly what h0 is. Try additional linear regressions using different values of h0 = 10, 20, 30, 40, and 50 cm (you do not need to calculate 95% confidence intervals for these additional fits) - - Qualitatively, is the range between these 5 additional lines with different h0 values larger or smaller than the range between the 95% confidence lines from the original fitted line (the one with h0 = 28 cm)? + - Then, assume that we don't know exactly what b is. Try additional linear regressions using different values of b = 0.10, 0.20, 0.30, 0.40, and 0.50 m (you do not need to calculate 95% confidence intervals for these additional fits) + - Qualitatively, is the range between these 5 additional lines with different b values larger or smaller than the range between the 95% confidence lines from the original fitted line (the one with b = 0.28 cm)? - Direct monte carlo parameter estimation - Bayesian MCMC fitting