From f349891bbb60611bc736b05e003403427ecb5695 Mon Sep 17 00:00:00 2001
From: Irmela Zentner <irmela.zentner@edf.fr>
Date: Sun, 27 Oct 2024 20:43:10 +0100
Subject: [PATCH] new code to compute fragility curves by regression

---
 IM_EDP_pair_floor0.txt |   2 +
 Regression.ipynb       | 210 +++++++++++++++++++++++++++++++++++++++++
 fragility.py           |  96 +++++++++++++++++++
 3 files changed, 308 insertions(+)
 create mode 100644 IM_EDP_pair_floor0.txt
 create mode 100644 Regression.ipynb
 create mode 100644 fragility.py

diff --git a/IM_EDP_pair_floor0.txt b/IM_EDP_pair_floor0.txt
new file mode 100644
index 0000000..8a4a1e1
--- /dev/null
+++ b/IM_EDP_pair_floor0.txt
@@ -0,0 +1,2 @@
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diff --git a/Regression.ipynb b/Regression.ipynb
new file mode 100644
index 0000000..dbe67da
--- /dev/null
+++ b/Regression.ipynb
@@ -0,0 +1,210 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#####################################################################################################\n",
+    "# Created by Irmela ZENTNER for openMETIS (EURATOM METIS project) : fragility comutation by regression method\n",
+    "#\n",
+    "# Date 23/06/2024\n",
+    "# EDF R&D\n",
+    "#\n",
+    "# cite as: Zentner, I. et al. (2016). “Fragility analysis methods: Review of existing approaches and\n",
+    "# application.” Nuclear Engineerinf Design, 323(5).\n",
+    "#\n",
+    "######################################################################################################\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "#import statsmodels.api as sm\n",
+    "import scipy.stats\n",
+    "import matplotlib.pyplot as plt\n",
+    "import sys, os\n",
+    "wd = os.getcwd()\n",
+    "sys.path.insert(0,wd)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from fragility import fragility_regression, compute_frag"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Load and plot data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "dataset = np.genfromtxt('IM_EDP_pair_floor0.txt')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# plot the relation between the IMs and EDPs\n",
+    "\n",
+    "plt.figure()\n",
+    "plt.plot(dataset[0], dataset[1], '*' )\n",
+    "\n",
+    "plt.title(f'IM-EDP scatterplot')\n",
+    "plt.xlabel('PGA g ',)\n",
+    "plt.ylabel('EDP g')\n",
+    "plt.grid(True, which='both', linestyle='--', linewidth=0.5)  # Added both major and minor grids with custom styling"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Compute the fragility by regression in logspace"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Coefficients:  [[0.57763205]]\n",
+      "Intercept:  [-0.430552]\n",
+      "Mean squared error: 0.10\n",
+      "sigma: 0.32\n",
+      "Coefficient of determination: 0.54\n",
+      "the regression fragility parameters Am, beta are\n",
+      "[[0.87025399]] [[0.55183741]]\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Threshold value\n",
+    "threshold = 0.6\n",
+    "am, beta = fragility_regression(dataset[0], dataset[1],  threshold )\n",
+    "\n",
+    "print('the regression fragility parameters Am, beta are')\n",
+    "print(am,beta)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Plot fragility curve"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "x = np.linspace(0.1, 4.0, 1000)\n",
+    "frag = compute_frag(x, am, beta)\n",
+    "plt.plot(x, frag[0], linewidth = 3, label=f'fragility by regression')\n",
+    "\n",
+    "plt.xlabel('IM - PGA(g)', fontsize =14)\n",
+    "plt.ylabel('Failure Probability', fontsize =14)\n",
+    "plt.title('Fragility curve')\n",
+    "plt.grid(True)\n",
+    "#plt.legend()  # Add legend\n",
+    "\n",
+    "plt.tight_layout()\n",
+    "plt.show()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "openquake",
+   "language": "python",
+   "name": "openquake"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.9.16"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/fragility.py b/fragility.py
new file mode 100644
index 0000000..a2e50df
--- /dev/null
+++ b/fragility.py
@@ -0,0 +1,96 @@
+from sklearn import linear_model
+from sklearn.metrics import mean_squared_error, r2_score
+import scipy
+import numpy as np
+import matplotlib.pyplot as plt
+
+def edp_regression(  im: list, 
+                     edp : list, 
+                     plot = True ,
+                     ):
+
+    """
+    This function performs linear regression.
+
+    INPUTS:
+    IM           IM list
+    EDPs         EDP list
+    """       
+    
+  # Create linear regression object
+    regr = linear_model.LinearRegression()
+
+    logim = np.log(np.array(im))
+    logedp = np.log(np.array(edp))
+    xv = logim[:, np.newaxis]
+    y = logedp[:, np.newaxis]
+
+    # Fit data
+    regr.fit(xv, y)
+    c = regr.predict(xv)
+    # The coefficients
+    print("Coefficients: ", regr.coef_)
+    print("Intercept: ", regr.intercept_)
+    # The mean squared error
+    print("Mean squared error: %.2f" % mean_squared_error(y, c)) 
+    print("sigma: %.2f" % np.sqrt(mean_squared_error(y, c)))     
+    # The coefficient of determination: 1 is perfect prediction
+    print("Coefficient of determination: %.2f" % r2_score(y, c))
+
+
+    if plot :
+        plt.figure('Regression')
+        plt.xticks()
+        plt.yticks()
+        plt.grid()
+
+        plt.scatter(xv, y)
+        x0 = np.linspace(np.min(xv), np.max(xv), 100)
+        x0list = x0[:, np.newaxis]
+        clist = regr.predict(x0list)
+        plt.plot(x0list, clist,  color="blue", linewidth=3)
+        yf = xv * regr.coef_ + regr.intercept_
+        plt.plot(xv, yf, '--', color="red", linewidth=3)
+
+
+    sigma = np.sqrt(mean_squared_error(y, c))
+
+    return regr, sigma
+
+
+def fragility_regression(
+                     ims: list, 
+                     edps: list, 
+                     threshold: float, ):
+    
+    
+        """
+    This function estimates the parameters of a lognormal fragility curve from IM-EDP
+    data using linear regression. The method is from:
+    
+    Zentner, I. et al. (2016). “Fragility analysis methods: Review of existing approaches and
+    application.” Nuclear Engineerinf Design, 323(5).
+
+    INPUTS:
+    IM           IM list
+    EDPs         EDP list
+
+    OUTPUTS:
+    Am         median of fragility function
+    beta      lognormal standard deviation of fragility function
+        """   
+    
+
+        reg, sigm = edp_regression(ims, edps)
+
+        coef_c = reg.coef_
+        coef_b = np.exp(reg.intercept_)
+
+        am = np.exp( np.log(threshold/coef_b) / coef_c)
+        beta = sigm / coef_c
+
+        return am, beta
+    
+def compute_frag(xlist, Am, beta):
+    return scipy.stats.norm.cdf(np.log(xlist / Am) / beta)   
+    
-- 
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