{ "cells": [ { "cell_type": "markdown", "id": "7fa5cb12", "metadata": {}, "source": [ "# Extreme Value Analysis" ] }, { "cell_type": "markdown", "id": "eaa08a9d", "metadata": {}, "source": [ "
\n", "

\n", " \n", "Solution\n", " \n", "Only the solution and the explanations (in italics) are included here; see the assignment document for the complete questions. All code blocks are retained so that you can still run the notebook locally.\n", "\n", "Also, remember that the workshop will be based on this assignment and use some of the Python code you were asked to write!\n", "

\n", "
\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "a117e56c", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "from scipy import stats\n", "from scipy.signal import find_peaks\n", "import datetime\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "id": "caa70699", "metadata": {}, "source": [ "
\n", "

\n", " \n", "Task 1:\n", "Calculate the design return period using: (1) the Binomial approximation, and (2) the Poisson approximation. \n", "Comment the results (differences, reasons for them if any...) and choose the design return period.\n", "

\n", "
" ] }, { "cell_type": "code", "execution_count": 2, "id": "8493e7f1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The return period calculated with the Binomial approximation is: 475.06125465234106\n", "The return period calculated with the Poisson approximation is: 474.56107905149526\n" ] } ], "source": [ "RT_Binomial = 1/(1-(1-0.1)**(1/50))\n", "RT_Poisson = -50/np.log(1-0.1)\n", "print('The return period calculated with the Binomial approximation is:', RT_Binomial)\n", "print('The return period calculated with the Poisson approximation is:', RT_Poisson)" ] }, { "cell_type": "markdown", "id": "128e845f-74fc-4be6-ba1f-a395beafbee4", "metadata": {}, "source": [ "*When the value of the number of trials in a Binomial distribution is large and the value of p (exceedance\n", "probability here) is very small,the binomial distribution can be approximated by a Poisson distribution.\n", "Thus, no significant differences are obtained.*\n", "\n", "*We will adopt a design return period of 475 years.*" ] }, { "cell_type": "code", "execution_count": 3, "id": "bf23c83b", "metadata": {}, "outputs": [], "source": [ "pandas = pd.read_csv('Time_Series_DEN_lon_8_lat_56.5_ERA5.txt', delimiter=r\"\\s+\", \n", " names=['date_&_time', \n", " 'significant_wave_height_(m)', \n", " 'mean_wave_period_(s)', \n", " 'Peak_wave_Period_(s)', \n", " 'mean_wave_direction_(deg_N)', \n", " '10_meter_wind_speed_(m/s)', \n", " 'Wind_direction_(deg_N)'], # custom header names\n", " skiprows=1) # Skip the initial row (header)\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "a8a127a3", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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date_&_timesignificant_wave_height_(m)mean_wave_period_(s)Peak_wave_Period_(s)mean_wave_direction_(deg_N)10_meter_wind_speed_(m/s)Wind_direction_(deg_N)
01950-01-01 00:00:00.0000000001.2744874.4939865.177955199.7315758.582743211.166241
11950-01-01 04:00:00.0000268801.3388504.6097485.255064214.6793068.867638226.280409
21950-01-01 07:59:59.9999731201.4074544.7756515.390620225.1828209.423382230.283209
31950-01-01 12:00:00.0000000001.3877214.8002865.451532227.1000419.037646238.879880
41950-01-01 16:00:00.0000268801.6608485.1124715.772289244.82197510.187995242.554054
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" ], "text/plain": [ " date_&_time significant_wave_height_(m) \\\n", "0 1950-01-01 00:00:00.000000000 1.274487 \n", "1 1950-01-01 04:00:00.000026880 1.338850 \n", "2 1950-01-01 07:59:59.999973120 1.407454 \n", "3 1950-01-01 12:00:00.000000000 1.387721 \n", "4 1950-01-01 16:00:00.000026880 1.660848 \n", "\n", " mean_wave_period_(s) Peak_wave_Period_(s) mean_wave_direction_(deg_N) \\\n", "0 4.493986 5.177955 199.731575 \n", "1 4.609748 5.255064 214.679306 \n", "2 4.775651 5.390620 225.182820 \n", "3 4.800286 5.451532 227.100041 \n", "4 5.112471 5.772289 244.821975 \n", "\n", " 10_meter_wind_speed_(m/s) Wind_direction_(deg_N) \n", "0 8.582743 211.166241 \n", "1 8.867638 226.280409 \n", "2 9.423382 230.283209 \n", "3 9.037646 238.879880 \n", "4 10.187995 242.554054 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pandas['date_&_time'] = pd.to_datetime(pandas['date_&_time']-719529, unit='D')\n", "\n", "# The value 719529 is the datenum value of the Unix epoch start (1970-01-01), \n", "# which is the default origin for pd.to_datetime().\n", "\n", "pandas.head()" ] }, { "cell_type": "markdown", "id": "982abe31", "metadata": {}, "source": [ "
\n", "

\n", " \n", "Task 2:\n", "Plot the wave height time series. \n", "

\n", "
" ] }, { "cell_type": "code", "execution_count": 5, "id": "58256b3f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '${H_s (m)}$')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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cK0omO84mAwCSM103rUFppq7RJF0dnPzur6XnIuSe6uZXbWHdufnKSCgW7b/s0OeUtL8qKBRFiriaLncINuPNlWVXU3OwIVK97auY2BCpSLI+z2Jio3SXbsnTW6kyZS9vSkqiyLX429814rtDyDLY/yhSKfgoiohUw10vPmeu63E9447cYZBEUjLz8OHa0zhzXS93KACg6qQGYGJDKlJQVIwz1/UoLnbTqxu5pYTUXIz4/hD6zt0jdygkkXf/Oo1VJxIx4ntb21w6fg68mSluhxUlno2Z2JBqvL06CiO+P4Sf9l+SOxSSiZKbRZTtRXTmuh5jfj4myh34uaRMp9chBTlrzw5cvHU3DvnCEE3szSxZtqvVdkZMbDRACwe2Lf53OglAySzU5D6UNMKutctAQdHdOJ/66QgOxt7G04vCpA/KDb247LjcIZCCMbEh+kdmnvZGjrWV2KmDI3eCSkpgnFU6d5RSeqRRxeEGtFlXQQATG9W5lWXQxKBKYk4DIQgCbojQsHL54XjngyGLFLXXKioY+ea3skYDpxkTN8sNraH0pzBKj0/JmNioyObTSej+xS58vEFds3hn5ObjUOxtk0a/Yo538fWOGPSZu8fpR1T5Ns7QLCdr1xot1XiokTPf/0Pz94sYiWskpuVWeI0zjpMSMLGRiwPp+FfbLwAA/jiWYPNnFuy6aPy/XHdgj/zfQbzw8zH8FXFNkvX/Z29JQhO69YIk6xeVhOd9td9hqz1+d5KVV2BHD567WAtBrsDERianEjMk38btbAMW7IqVfDuVuaEvqQLeeibJ7Pu8oBEATLdUEynx/lG2PRBrvWyTrHfdiOlUcb/kOdM6JjYaZqlHhthtdARBwB07G0nyxk1aWmiHRdbxsQ+ReUxsNOzyLdfMsPvh2mi0/mQbzrtovA0xLtlnb+iRkZsvwprs5KJ84+/T5mvHXMUg0YSXzNfIUYfibssdgkVy7ddavQFiYkNO2RqdhNXhiQCAn/apY3yZyIR0DP/uEHrM2S13KJL5b9hVWbe/kGMNkYKEx6fh4/XWO12Yu8afT8rEhD9Oyj7PGWvn7MPERgPk3OXfWHFSxq07Zl9MyailaugF5Spi37hdclFtoatp8/62hCAIWHboCk7Ep8kdiuhOJlTshWnLefOJ/xzG5tNJeIkDAqoKZ/fWAC2fbMkxSmwE62i1tz2fsnUbUnw7rq7VF/s33nnuJj793zkAQPzc4ZVs2z2UDrR4LZ0TkFqixKdZrLFxQ3LPD3IqMQNrT0rT9VvrlHgSqYwrZ6X+RYODLLrqcL1y2/laNnbndg0VngZciokNGe2/eAtfbD4n6qjA5jz+n8PYdT5F0m3ILSE1FzHJ8kxs5wgpGxEO+mqfZOsu77s98g9vIAcpZry3OhikBq6sct/gkXSY2LiRyk5GLy07jiUHr2D1iUSz7/996gY+/fucxZOoBs51oun/1V48vOCAPD2voKwLT77EibIj8ouKEXE1HUUSJARy6DB7B8IupcodBpEiMLGhCiw9OnhrZSSWHb6C7WeTHVqv0i8hUrRLuZHhuoHMtNp1U4pi5RcW46mfjmD+zhiTRqTObEunA6Kv6THkW9dPj5BtKMS/fz3h8u3aS4rePbezDaKvU+t2nrspdwiSYmKjIkqpOk3NcW0txOVb2Wjy4ea7L2jz+i0qrXxFhsIi/Ps36S7YSw5cEW1dggC89usJXLypvAkttcyWZFSjOb/DZm06a9fySrn22IqJjRtS253904uOyh2C6tj7Gyt1j1gbcR15Bcp7lGVJVl6h3CG4RLHKziHmqOtSbbscg/j7oNq+KyY2JBrHu/Na/xyrmrXBkb2j4kla/RdULZDi4qkmok9LI9J+/fepG2g7c7tqBkuVChMbDZCiRwSJo/zAYEocX0YseRJNo0D2SVXIjYAYjZnv5BfhsR8O4cttF0SIyDpbn7ZsO5OEjrN34MDFW9IG5IB315wCAMyz8ftS2yMmWzGxURFL40yMXnrMxZGYp91LtuN+C4sXdX1yDkBnzXe7Y9FqxjbsV+DJXkxKvwzM3xGDrp/vwopjzk+p4UitRNnv57klzj9CXh95Haev6fGjC2ogrqXfwcao65UuN/6/J5GZV4gXFT4a8dKDl+UOQTZMbDTAoPKpAVw9D4oSEzBBEDBv2wVsiZZ38kpHzd95EQAwY4P1+XjUQM01oN/tiQNg3+9w5XYONp26Ydd2XPUNST2mVnmTV0W5dHu2Kl/TWzbntPRY8PPN56UMSdE4pQLZTaO1l7LafT7F+Fy8suHsK5NfWIzIhAwRonI/C/dfwq9H4rH2jT64t04NucNxiUFf7wMAdGpYU9Y4pGQ2EVPxeazs+Es3M/Mc3lfV1pHEVqyxcSO27sIa3ddFkaS/I0lbkpQs59tFlP5uC3ZddHpdrvDGfyMUF+uCXbFIzy1w6G5XquPGVdffqMQMk7+VcB64eFM9o3e7KyW2G2RiQ6oj1WGUkVtg9f24lCz0Dt2DB79x/QBs9lgfWbGdwK1yiVNBUTGOXk41JmlyXMS2nknGgl3iToHgSBJgrgbS0nrkOIUfjrstw1aVYcWxBMnWbekRuBy1GK5+HK91qktsrl+/jhdeeAG1atVC9erV0alTJ0RERMgdlmwS03LlDkEzKjuJbj9bMlqnPZM6lh+sTa4TWO/Q3SZ/h265gGcXH8U7f56SJR7Hud8F4NQ1vdnXy+9LaujhooIQVTEqr1YfIYlFVYlNeno6+vbtC29vb2zduhXnzp3DN998g5o1a8odmugW7r+EdTbMgF2+O7GsKjnWlHIsavWkYK1UheUaxC47XDLi7mZXNlbW5tdOGlP+kZxclh+Jt/jegVj3rcWzhaoaD8+bNw8NGzbEL7/8YnytSZMm8gUkkYs3szB3a8k4BCO7hIi+fmevL2qvNl13svIuna6mxOfURLbi/uscc9/fz4csT/dx5rr5Wjwqoaoam02bNqFbt24YNWoU6tati86dO2PJkiVyhyW6ytp62ELKWglL1clqObnZ8yjJVq4anE7p37D0+4DSvwFSIo1W0pIFqkpsLl++jJ9++gnNmzfH9u3bMX78eEyaNAm//fab2eUNBgMyMzNN/rmLfTHaHihNaazdXZHjlNYmI9tQaHWcG6XEK1t7m0q2K1eCoZabLkfIXbJ0EW7ExaaqxKa4uBhdunTBnDlz0LlzZ4wbNw5jx47FTz/9ZHb50NBQBAQEGP81bNjQxRHL5287B9wi51xNNT8qtNSU0h7AWZYGYpO6yt3SBc/axeLYlTRpgrGTnBdrORKUvTEpmm0fV5n426adRMrmj2W/Ejny2T8k7LnmKFUlNvXr10ebNm1MXmvdujUSEsx/sdOmTYNerzf+S0xMdEWYLhVtoceEM1x9wpTzBL0m3LX7hNhlVdp8NYVFgkPdk811UQeADVHKS9DzCjknlhxe+eUENoq4Pyilds0WX22Xfq4sa9T0XQEqS2z69u2LmJgYk9cuXryIxo0bm13ex8cH/v7+Jv+05GpqDpba8QhE6rsdV91MlS2HwcmLzHt/nXY2nEotOXAZKZl5km/Hme9frIQrSZ/n0Nxl6Tn5omzfEWpvDO+IJh9uFnWfLCxyzcEv5lxkln51tV3Ey8orUPf0OmJRVWLz9ttv4+jRo5gzZw7i4uLwxx9/YPHixZgwYYLcocnifJI8bYaUdNxHxCuou7sFX2w5b5wwz1LbJ3eoYddyOwcp2fqtFdk5x1WPObtxIl6cx2r2zjVF9pH7yLmQlKWqx4CqSmy6d++O9evXY+XKlWjXrh0+++wzLFiwAKNHj5Y7NFGpaQci21xILhka/rcw52ddltpNF9QuaZHcidsdB3rmxSSLM2VBarZ8NW4kvdXhifgrovJx1ZRCVYkNAIwYMQLR0dHIy8vD+fPnMXbsWLlDUiSmRtrkipx38HzTKSPyCopwPilTliEE7F+PkuoTxaGlEsn186j9XlGq+O1Z7X8V2EjYEtUlNnSX2g5WlYVbgQavmWZl5hWa/P3MojAM+7+Drh2lmIzcZb8jy9R+7nQ1JjZUwdnrmTjiQM8WORItHvB3lT4KEft3KJ2raE24c1XRakvEyTJLtXfuloOJVYtZ2WrKb+egyZQKPLDKY2IjousZd3Dkkvrn8DgUdxvPLz2GJL35EXrVPvKwEvGbs40cPe+07JRI4yC56tgX83exdB67mmr7xMJKaDTtzFei1USUiY2I+s7dg+eXHEO4SD0N5HYjw3wjUnfsHqsU5U/Guy+kGP+fX+hEV0+FXcc5a/1dZ29I1/txT5n9xx5abMtU6n+nbX/keiQuVcJIyFFMbCRQOuN2arYBufmFlSxdka0nDWvXIi3fcWq3ZPYre8ft6EUKcM13as8umePAcVOyDe3tHU4lrBLRcF5DGsDERiJpOfno+vkudJq90+7PSnVyFmutl25lO/Q5V58LM3LzkZWnvHlMpMaLjn3E+r40mFNZpOSyHrucimnrTkN/x/qxz5pnU5Vdd9T0bTGxkcjpaxkAgHwLc+CowXELc+IsOnDZZbNZV8bSsZhXUIROn+5E+1k7NHkXLwcpv0WlXWQcGRMGsO/kP3lVJCIT5B1gUotHxjOLj2Ll8UTM2ybvNARicsUpLNqOedk+cMGI7c5gYuNmiosFm2eitnZiyDRzN+TwwSfBQXs9427DZzsHZFU0V+do7poU5hjsT2x0Ovt25Y1RN/Dkj0fs3o5xe1bSKFeniUrcTRLsaASsdIfibjvUrMEe9kzHsNrFc+zZi4mNRlk6z2yOTsK1dPO9nUhGSrwyAEgo04i3qFi9tY+WuLKmyNYbCqWwZ5e8lm5/EiFWjywlmvDHSby6/ISoNwbLj8SLti6pCIKAP08k4owdtT9SYGKjYtaOGUvvOdo+RstSsw1yh6DYRwKFZaq7pEwCpGoXVNmFxZVDFHz2v3Mu25atxLrw7jpf0nC9st+x7PtXbufYvR0xfy2p9rm8giJsPp2EPRdSRL2JzDGYr7FR0rljz4UUvL/2NEZ8f0jWOJjYqJgrT8p38p1vU6OkA7Cs73bHOr0OV975J6blWhxjyFFyVxhJtf2wy451x7Xl2NobY9oLLdC3ikPbUip7zy9iTaipFLbMo2UuOTK3L++Lsd5j0ZZv2mDhUZEjx44jSZ0tn7kg0txjzmJiQzb5ZkdMpcvIcW0sf/J1pBeUQYHdaS3JMRSi35d70Tt0D4q11HhIJOWHSsjOk65dwsQVJ03+9vJwn9OpuZqeUQvDFDuBqiM1U1dui1O7feTSbbz8ywmn17NUZY8y5eQ+R6KKuPJyde5GJoZ/dxD7L96yulyEzL03bCVGzZIlrqqVuZpquYo+JevuY7MiEas5DsZa//0B52sIrX3e1jtIpnLKdt3CoJ5yk7NG8uRVdZw7tYSJjYqJcbD++9cTOHsjEy8tO66IeNTqZEI6Zmw4U+nYGZaU/e5GfOfa59PXM+5g0YHLLt0mOY9TmCiTI7+LXL3YtLoHeckdgFYpcshxM3txhoMXYi0RIyGLTclGbEo2CouLETqyg1PryrLQSLAyxpOVneW5kaGeXnJKOqpyJKwddBVXXtgOXLyFLdHJZbZ9d+uCIOC/R6+iTbA/ujYOFGV7zp6CxTgvKPEy4A6Y2KiYtUHylJKJyzUOipRtK6y5dMv+nh72cOYuXRAE0RPuJQcuo15AVVHXSa7j6OHpyH70opVa4X0Xb2HGxrMAgPi5wx0Lyk5MOrSLj6Ik4GxbDFs/bTp1vTJN33BG0vVbOjF/uC5a0u1K7cd9cXZ/prITde/QPfhhj/M9wEpFXE3HF1vOY9LKSNHWSZXbdOoGnl4YhltZ8g9TIJbLNt4Q2JOIVb6s/JlNVl4BXlh6zKTtnFzOJ1mfbFX+b8t2Dic2BQUFSExMRExMDNLStNXNT262HrtKqZWxZsWxBJdur/Q7qewgLUuJo2h+ua3yXmj2Ss7Mw9c7LlZ43doFYNraaIvLpSi0B4wYxGwoPuz/Dlocg8QRk1ZG4nh8Gj7733nR1mkvSzWxarr4ScWe5Gvxgcs4FOfcDapYIxLP3HTW4c/KPSBfeXYlNtnZ2Vi0aBEGDhyIgIAANGnSBG3atEGdOnXQuHFjjB07FidOON+tzd2ZG1clW6QTo9Lm5CFlO67ysUkcn+XD/k9a+sz5pEysOiF+8pwp8QSvVgcAlXTLrvNXxDWL79lSxsoHJLS+QJYIj8xn/S3/wI9KG/jV5sTm22+/RZMmTbBkyRI88MADWLduHaKiohATE4OwsDDMnDkThYWFGDx4MIYOHYrYWPGqvN3NkUumg4r9fOgK2s3cLsm2ckVtAOnY6c7eT5U94Zb/rA7qnN9IjTHbS+tFjEvJtnjboMXpKNTE0q737ppTLo1DCo5MTaH19kU2Nx4+cuQI9u7di/bt25t9v0ePHnj11VexcOFC/Pzzz9i/fz+aN28uWqDuzJGh2KW+UJpbe2WblCKmjNz8Cq/tuWB9lE9SPjUmQS//cgLeHuq6Yoh9TNqzNpMbFAX+4LYNNljx9xb3ZlFa6tpbbWdzYrNmzRqblvPx8cGbb77pcEBa4YodRoknA1f7eH3FxsnhbjogVmGxgNRsg913Y0rcj6b+eQpbJ/er8LryIr0rv7AY3lU85Q7DJdR2QXTkUUlkQobdnykqFtD9i112f04NFDmEiQUOdffOyMjAzz//jOTkZDRt2hSdOnVCx44d4evrK3Z8quSq39/aSV7JFwAxidX2SCz2/PRid7+OS8lG18/tP6kqYV8p/z3Y0/jbZD1iBKMBKroGSabsd5DkwIjIjhwX5YeZKCgsVlVCYI0Sb4AscahX1MiRIzF37lycPXsWP/74o7ExcYsWLfD000+LHSNpnJiHvZSHntjnp41RN5z6vKvPMyo6r9lFI9cdh9j7kxoKXfeYJd/MHG5qmN27rMmro6TfiBPs/T6vpubg4W8PSBKLmBxKbI4dO4atW7diy5YtOHPmDLKysnD8+HFMmzYNwcHBYsdIIlHyEOzFxYJiuw8fibuNWZvOWh0Q0aH1XrrbzVPOX0ZNCYu9sW4/m2z1fUvrq2w7F5Ltq1Gy1htRTZOZro24DgCIc0EvmPf+krZhryvyWUca9rrSBTtrRj9aH42Ym8qYwdsahx5FtWvXDh5lZrL18fFBly5d0KVLF9ECIxso7HzoTDgTV57Eluhk/PJydwxqVVe0mIDSKlTHT2PPLz0GAPDzce1A3cn6PARxVF+nrDt5HfOf7iTqOo9dTsPC/Zfs+kxqTsVG7qWK7cjWUrPvDuQmR0VT6Zgp5tq2AeLGJGaNplQ3dWqv7TOYqRWzxlrD6NJpMZTAoRqbefPmYcaMGcjLU+YdtruwerBauhN18ACX+vgtnUNm0QH7LhjlORqnudqYlCzT/dvROZxK/X3KvhN1r9DdiL8t7RQNZD97kxpHP2OOI22olErpNYVl25RIlcCoKTE6WUlj6rBLqUjSKyMncCixadq0KbKystC6dWt89NFH2LhxIxISXDvCLCnTL4ev4JfDVyTdhhR3X9fNTAT55H+OiLqNtxyYesDR2cKVSOHXMdWx925bycRKciw1cHVk/YlpuU5G4zozNpzBv3+1f3BcMZPLqwr6vhyqW3/qqaeQmpqKQYMG4fjx41i8eDHS09NRs2ZNdOzYEXv27BE7ThKJlCMPZ94pwOx/RsF8qmsI/Kt6S7Yta8QqoblkR4tc1fZKjGkFXN1ObOnByy7dnpIUOXDVkzt53XHupmjrOnXN/mkCDEXyjGHzu0IeASmFQ4nNuXPncPToUXTo0MH4WkJCAiIjIxEVFSVWbKrmiipGpVXllr2DLCxyPLgT8Wmo4umBjg1r2v1ZhX0lVint96uMs0lF+RG1y7L1cBEEYOe5m/Cr6oVe99ZyKh5bfL5Z+vmYzH2ru8/fxIOt60m+bWs/qb2PTpUgLuVuo2Y5HvNYanskl7ScfAT6VqnwupoegTnCoUdR3bt3R3a2aav4Ro0a4fHHH8fMmTNFCUxt1NTHXypi3E1n5BZg1MIwPP6fwy7tLWLvzyd2bLLuPg5u25E7emfdyLiDsb+F49nFR12+bVeavsH5C2RqtsGpR5nJCmkvUZaj51lzn5Li4r5TxBojMTzxn8NmX9f65cqhxGbKlCmYNWsW0tPdc4RXc/bGOD+Mf15BkWgXTLGr7G1Zm6MHS9mPWes9oiQ/7osTdX02z+iuoBOSHEPH38w0VL4QoaBIQNfPd6Hj7B1WkwGl7E5KHopCzRIqafdSPrlzdGBMpXG4jQ0ANG/eHI899hh69eqFzp07o0OHDvDx8RE1QLUoWwXqiPScfHT+bCd6NAkUJR5DgTobFqqlhnTZ4Xin16GU6mA1XVKkuACKOTKs2kaZlbOm+Vq669qwSVVOZ39tKds8lioqFvDOn1E2Lbs24hqmj2hj8X217N0O1dhcuXIF69evx6RJk5CRkYF58+ahV69e8PPzM2l3Q7bbeb6kCvN4fJoo69ttZiJIJd3tS8XxA88NvhwnHb2cht/D4uUOw+jHfXGiD5pYypXHipaOS3uOv293XZQsDrpr57mb2ODkmEBq41CNTePGjdG4cWM8/vjjxteysrIQFRWF06dPixYciUvqm8nyJ2i2O7LOka+n7G8oR/X9jI1nMaZ3E5dv15wvt8UgO68Q7w9tJXcoRo7s80p9DKOlw9dsGxsF1D+4ooJPafPpuYJDNTbm+Pn5oV+/fpgwYYJYq9QsseZbUdqJJ7/o7uMvHUqG3y7rVpZBlC7UpeU2N86Ewr4Sm1m6IFo78cXflmfciKLSdmAK+LKV1liTlEPM86PY+ceh2NsW3xu99Cgirrqm/aqapvOwh82Jjb0D8F2/ft3uYNSsfPZv7W5AaQmJWMq3M1p5PNHk7wvJWeg7V7wxjiz1jFFZMweHnbqWIcp6zO2PMclZGLrA/GR3fxwXfzBOR3+z2JTsSh9HWWvobWm77rIPiU2jpzbR20698PMxi+8djkvFUz+JOzioJTcU2PNNDDYnNt27d8fYsWNx/Phxi8vo9XosWbIE7dq1w7p160QJ0G04cEYwV4VdWVW40k/YKVm293oRcwA9e5NNR2pYyotS8AR5E/44iQvJ5ie7233eNbUkRWbuJs197ZmVdGn+clsM0u3sbaf040Qs1nZ7Rx6R3bLj+DXZlgQZUdnf0NzPKcZv7C77idrY3Mbm/PnzmDNnDoYOHQpvb29069YNwcHBqFq1KtLT03Hu3DmcPXsW3bp1w1dffYVhw4ZJGTfBfHVmp0934utRHWWIRt0iZUgyYp3sSSelrDz5p3I4cPGWTctFJmbg4bZBVpcpKFJnL0E5OZJsONpd2ObhDip5n4lGRa5q66ikr97mGpvAwEB8/fXXuHHjBn766Se0aNECt2/fRmxsLABg9OjRiIiIwOHDh90+qXFVl88cM+OI6O8UYOxv4aJvS0k7rRRWqGRIcinOUY42XhWz0au5/cvWHk/jfo9ApoOJmBIeCyshBnMUGpZDlFoWuc6rjl6i1DKcgd29oqpWrYqRI0di5MiRUsSjWpVVe5L9HDmGHP3ulXris0q0iQMd+5yY89PYGoKlfUKfWyDb3GRqZv8jWGnikJpUcW+MvIHPn2gvzcrJYaL0inrhhReQmVlSBbllyxasX79ejNW6jcKiYrvvfg/G2lZNLxe5EntHz193ZBhF11kGmR6vlF4kzlx3/SilkrTFcNF2lKiwmI/onJHlZFdqlVSAqI4oic3p06fh7++Pc+fO4d1338W2bdswZcoUMVatWjn5tu/wy4/E273+MT9bbsRtibucrM35eH00Xl1+wuLzZrHau4j9HVvrXTd3i2MTNM7fEeNoOEZiJ4Lm2sCY+ypjU8w3aBZ7KHgxpgdRgwInJqsVk1jHjTuf4+SmpK9elMTG29sbgiBg+fLl+Pjjj7Fo0SIcPHhQjFWr1rjfIyy+V/7g2xej7NoXR9gzKJS9F0l7D6Af913CimMJ2HMhBWdvqHsulLLD0JtrY2WL7/aYdn+29/sUAHyx5Zxdn/l+d6z19/fYNvfW4TjzM4S/buV4cyVH5s+S+mLscJIm45XKFTWoYlaWnErMQJLefC/NS7fk7SRgz8+opOTEGQ6NPFzeuHHj0L17d6SlpRln987JyRFj1SQysU5WaTn58PSwfGpYacdYJw/N3y9GSBbN33l36PZiic/WYlctl39EuXD/JXE3AMcuIluik+1a/pud1ofPz8oTZ3RUa9+/ue7jZJmcIyK/u+aU5Nv4NUycNmIxyVl43MIs2gCw7qR7jemmBHYlNoIgmG0V/frrr+Ppp5+Gl5cXfH19ERcXh549e4oWpDtQWxXqsP+zXiNXaEcVdyEvOLKKsTBejZYIAHZZGH8nOVObg5SpSdkkKsdQiM3RSZYWdKj7coqEv3FUomtGCSbb2ZXY1KhRA506dULXrl2N/9q0aQMPDw/UrFnTuFyzZs3w66+/ih2roqmlGxwpk9ISW1fGY2nwPLFjyLXQ7m3kj64Z5dUe2XmF2H3+Jvo1ryN3KC5R9rdOkmA0XGdH2GVtn7rYldh89dVXOHnyJA4ePIiFCxeiqKgIVatWRYcOHYyJTpcuXdCxIweIs0bOKl6X5V8KzfPmbr0gdwiKY+/+KPaAX9/tsd7+Rgw6lCQLNi+vk7enXJahEK/9Go5x/e+VLQY1kvL8tjbiGpYeuiLqOuW6IVbajZTY7Eps3nzzTeP/DQYDqlWrhrfffhtpaWkIDw/HsmXLYDAYUFSkvq6zzlLoddxEbn6RSXsTd3TkkvnGp+7M3EnOledbWwfic1Zaju2D+BkKi9H6k20SRnPXjnOW2yutibjmkhjMMrNfKHUmcld4xwXtfiRhx09WUFSMl3+xv8et0jjceNjHxwcA8PTTT6NDhw4AgKKiIpw9e1acyNyMK04XSw5edsFWSljrpkykdOUndJXSrE3KPGcej09z2bZcNey/0iht5OGNUTegr2TuNXN2nL2Jfs1rOxmVeETp7l3K09PTmOSQ8jg6QR1V5KrTMBNEkkvZoQVIGo5OBWIXO04hjj5+tdjYWyaiJjZkm/I3J66q3nVmK4q6n6okGDmTATUmIvL/tua/M3d57KGmUsYkS1OTVfacGHvTei89LVXurDyeKHcImmRXYjN27FgsXLgQ4eHhMBhK7v7ZG6iEyVxRIn4lZ67rxVsZKU7peD9quogr9cISf9v62Flq+o6Vau3Ja5LXMryx4qTF9wQF/oqunNkkJSsPu86ZH7aA7rKrjU1MTAz+/PNPZGVlwcur5KOzZ8/GwIED0aVLF3Tq1AnVq1eXJFA1i0vJQrO6fsa/zR2Yli4WSumKam+uJmW+my/THElSmLYuGm3q+8sdhiYM/HofateoYvY9pV0My1JqomiJFI+07fkKrqXnir59ZzjaHsvSSMXW9J27x/5pMMwsnpgm/mNGuUdYLsuuxObAgQMAgNjYWERERODkyZOIiIjAJ598goyMDHh6eqJFixZsQFxOtsHxXh9auohriZh5242MO6q6uIndi6lYxjFClPC1u2vDWUe9tEz9vXYA4Ovt9vdQlXtuL2vnvSUHxe0K7wyHekU1b94czZs3x7PPPmt87cqVKwgPD0dkZKRowWmVGk9kjsyB467s/X0FiDcJpyuEXxV3pNXV4ebbGTh2mJg/9brzA3P1nW2si0+1XGOjplNrkQJnVlfegz7HiDJXFAA0bdoUTZs2xahRo8RapaoYCm3bSQVBkC3rdvTknpiWiwtuMOy+PSz9go6eGKISMxyOxWlmrgZqukCUZWkusMJiARw81naTVvIGldSLvaJEMm+bbSPavv57BLp8ttPkNR10LsmUHW33ssbCHTWJQ7Ay/40r2uYr9XrvSNnTLEzP0P/LvU5GIx1XfP/2dkLYdOqGRJGYJ1Yizb4sBDCxEU3ZA9PasbVThS3at5+1P2Y5zy88uTlPa9+hoidadUFoYvZkciQJ+dbKiOcFRcW4mCJ+jbDSH5+7qkexVh4v2YOJDVUqppJxJcyR68Io9yMUR8axsXbi+WLzeWfCUbWpf6p0CHuNm7PF9n1yQ+R1FBYV4/92W54P7N+/hmPzadsGeLN0fJub4DRC5LZg7kCN43CZo+rEJjQ0FDqdDlOmTJE7FKuU0lhYIWGIIk6COzyxLNxv39QV1n6XsMvuO7dVvo3t1tRObYflngspNi87ZXWU1fK98stx7L94y+mYbmbKN6q6ozdx6yOvixsIGak2sTlx4gQWL16siikcBJQ84x88f7+F99V2apPfQ/MPmH1dCY9QbG1vRfIrUvIjKlhuM6QVe2PsS2osjRnz+m/hYoTj9rQyvIgqE5vs7GyMHj0aS5YswT333CN3OJXafDoJCWm5qurS6yw5qzQvVzICrRjErP2S+9KqpZo8qxRaUKXU6KqBpXOopdf3XFBfm0ax2dpj1xZKuHG0hSoTmwkTJmD48OF46KGH5A7FJgdjna9qFYNadkpn2fq8nkq4S42hUkvpiri00nbCXn+euObQ55p8uNnmZZX+zd52w8mPRRvHxlVWrVqFiIgIhIdXXvVoMBiMc1oBQGZmppShGZVv7X7xpvvU1BApFStG3BNrxMRzIl4dDbJVVWOTmJiIyZMnY8WKFahatWqly4eGhiIgIMD4r2HDhi6IkgDt94rSUu2Xue+M1wJSmysWHkFbG6nYLWjpZGUjVSU2ERERSElJQdeuXeHl5QUvLy/s378f3333Hby8vFBUZDpuwbRp06DX643/EhOVO9AcLyQVqXHmeEdCFgR5HwapcWwlRyj1kRuPfXEM+nofisyM6q7EqQtcSX1nUeep6lHUgw8+iOjoaJPXXnnlFbRq1QoffPABPD09Td7z8fGBj4+PK0Okf+w6b3uXUC05maCOqtqy3KlRuztyp0cx5hrKulHx6R+qSmz8/PzQrl07k9d8fX1Rq1atCq9TRa48wM8nuaY9U3muquSx9F3mFbj33aGSufMF7kR8mtwhuMRfEY41FtYyS4MjFmqka7c5qnoURfIIuaea3CGQi6nwKaBqueIR2XwrUxpIzZW7UnJmngu3pm7WRoNWO1XV2Jizb98+uUMQhStuJh2ZL2fbmSRcS78jQTRUyp1rElyJX7N74u9u3qoTym1z6izW2JBV4/97Uu4Q7MIkgSxR6r6h1LjINqzdVB4mNgpw5Zb0I+WScim1t47WaLlNAVkmdeKoxt6bAHBLwwP3MbFRgBt6PhcmktrSQ1fkDsEsqdNahU+HRSQ6JjZKwfpoUdzO1u5dCJEjvtkZI+v25TyzuaI2NCoxQ/JtkH2Y2EjAkZrJuVs5I7QYRnx/SO4Q7KbEnFaJMWmWxN/1ov2Xpd2AwhVLvDMfv+IeXenVhImNBBx54pqTX1T5QkREZBelTEJMrsPEhkhmxQLYJ9WN5Wu8UfOeC/KOQp5t4E2ju2FiIwG1zIBKyrA24hrzGtKscb9HyBsAn6u6HdUP0KdEm07dkDsEUpGwy6lyh1BBioa7ghKRtrHGhsgB7jSxIJFa6aBjbagbYmIjgtz8QrlDICIiM3gP4n6Y2IjAwBmdiYiIFIGJDRERaRanLHE/TGyIiEiz+CjK/TCxISIiTRJYX+OWmNgQERGRZjCxISIiIs3gAH1ERKRJ28/eBHBT7jDIxVhjQ+QANkgkIlImJjYi4DVOuyITzM/7lWXgoIxERErER1GkWIIg4I/jCbLG8OSPR2TdPhER2Yc1NqRY28/exMfrz8gdBhERqQgTG1Ks5UeuyB0CERGpDBMbEejkDkCjjl5OkzsEIiJSGSY2REREpBlMbIiIiEgzmNgQERGRZjCxISIiIs1gYiMCDtBHRESkDExsiIiISDOY2BAREZFmMLEhIiIizWBiQ0RERJrBxIaIiIg0g4kNERERaQYTGxFwrigiIiJlYGJDREREmsHERgQcoI+IiEgZmNgQERGRZjCxISIiIs1gYkNERESawcSGiIiINIOJDREREWkGExsiIiLSDCY2REREpBlMbIiIiEgzmNgQERGRZjCxISIiIs1gYkNERESawcSGiIiINIOJDREREWkGExsiIiLSDCY2REREpBlMbIiIiEgzmNgQERGRZjCxEYEgCHKHQERERGBiQ0RERBrCxIaIiIg0g4mNCHQ6ndwhEBEREZjYEBERkYaoKrEJDQ1F9+7d4efnh7p16+KJJ55ATEyM3GERERGRQqgqsdm/fz8mTJiAo0ePYufOnSgsLMSQIUOQk5Mjd2hERESkAF5yB2CPbdu2mfz9yy+/oG7duoiIiED//v1lioqIiIiUQlU1NuXp9XoAQGBgoMyREBERkRKoqsamLEEQMHXqVNx///1o166d2WUMBgMMBoPx78zMTMliISIiIvmptsZm4sSJOH36NFauXGlxmdDQUAQEBBj/NWzY0IUREhERkaupMrF56623sGnTJuzduxchISEWl5s2bRr0er3xX2JiogujJCIiIldT1aMoQRDw1ltvYf369di3bx+aNm1qdXkfHx/4+Pi4KDoiIiKSm6oSmwkTJuCPP/7Axo0b4efnh+TkZABAQEAAqlWrJnN0REREJDdVPYr66aefoNfrMXDgQNSvX9/4b/Xq1XKHRkRERAqgqhobpfY+4lxRREREyqCqGhsiIiIia5jYEBERkWYwsRGBUh+RERERuRsmNkRERKQZTGyIiIhIM5jYEBERkWYwsSEiIiLNYGJDREREmsHEhoiIiDSDiQ0RERFpBhMbIiIi0gwmNkRERKQZTGyIiIhIM5jYEBERkWYwsSEiIiLNYGJDREREmsHEhoiIiDSDiQ0RERFpBhMbIiIi0gwmNkRERKQZTGxE4OXJr5GIiEgJeEUWQQ0fL7lDICIiIjCxISIiIg1hYiMCndwBEBEREQAmNkRERKQhTGyIiIhIM5jYEBERkWYwsSEiIiLNYGJDREREmsHEhoiIiDSDiQ0RERFpBhMbIiIi0gwmNiIQ5A6AiIiIADCxISIiIg1hYiMCD86pQEREpAhMbESg0zGzISIiUgImNkRERKQZTGyIiIhIM5jYEBERkWhqVveWdftMbIiIiEg0rYL8ZN0+ExsiIiISjSDz4G5MbIiIiEg0TGyIiIhIM4pkzmyY2BAREZFoioqZ2BAREZFGeMk8HD8TGyIiFftkRBu5QyAyUa2Kp6zbZ2JDRKRigb5V5A5BFuP63yt3CGQBGw8TEZGmuKIWycdLuZev2jV85A5BVn5VvWTdvnL3DCIiBfl74v1yh6Aar97fVO4QZBU+/SGXbEfOfXLtG70tvvfJo/I+HmViI6Oq3vz65TSiQ325QyAVaR8SIHcIijOkTT3Zti3z0w5FaF6vBkZ2bmDz8gtf6CLatrs2DjT7+qlPhqB+QDXRtuMIXlll9Olj7eQOQXJPdQmROwSLvD25+0tp6Yvd7P6MKy6UtURuk+Ivc7W7nPyqyjsnkDuL+mQwqnp7wsvT9h5IQ9uJczNn7aY8QOZ5ogAmNm6tWd0akm/j61EdJN+Go+6r4yt3CJpWw84Lvl9VLyx2IBmyV697a1l8z962EY1rVcfaN/rY9Zmj0x60Wo2vJjor19TnejSUdttW3mtaW75jW+ya+H7Na1vYjnw9j/reZz4mpWBiIyP/auLc6XVpVNOhz3laOyuJROeCbUwb1goTBzWz6zP31vbFv/tJ36vCUu1AHT91NS7s2LCm3Z+xt2fE7ncGWHxviYgJz7NWLrjD2wfZta5dUwfYfYcaFFDVYjW+ljQKNJ9cVLNwQd42pZ9d6xcAdLDweHCmjG08ujcR77f99/1NMaOShtj9W9Sxa53mvv+3H2ph1zpccFp3ChMbiY3u2QhdG99j9j2dTof2DUwPzNb1/e3exrKXuzsUm4eIgyjZO5urIz0aFr7Q1ezrOh3QtYn579iSBvdUM3vHY+nuyFGW7uY7NLCvvca4AffiXhHvQiNnDMakB2xPBl/p08Ts69OGtUJHCxcXwUIriPlPdzT7upeH5X1icJt6mPxg8wqvW7qwPdejkcV19Wtu+ULwSl/7Gr16e3pAZ6XuYHRPy3HY6u+J96OuQhPh4ICqFt8rtpDZtqpv/lxRx0ptmaXv0dJ5Z2DLuhbX9d7DLS2+JwYxuzp7e3mguoUxYUq3E+Rv+Tcwu85yj66OfPgAJj9U8dhSMyY2Itk6uR96mMnUR/dsbLWquuyde6eGNfG/t+7H1sn98OnjbW3eds3qVfBS78Zm3/txtOXGYm9b2Jlf6dvE5m0DwD3VvbHi3z3t+oy9Xu7TBEFWTqKtg+xPCM354XnxGtcBsBizvXc8Xh46jOgYXOF1R+5M6wdUxT2+VTB1iO0n+C6NzCeO1X28sNFSzwwzJ/iW9fww0kK7q9KvxFIN5DAztSnlbwxKhdxjf+PFmM+HoomF5LG3lcdX5n7LtW/0xqrXe+GLJ9vbvP1A3yrobKbs7UMCsHmSfbUZrhISWL3CTcr+9wYCAIa1s6/2y5pPHzffHtHeizoATLBQu/tMN9sfnbWsZ9+NHAB0s3CDa02rID+E3FPd7HuWEsfKboB632e6LwfXLDlWytf8hNxTDW3q+2P5K+ZunJVdZcPERiSt6/vjj7H2X9zHlnkcsmFCX3h66NC6vj9e7N0Ej3e6eyGbOKgZ+jWvXaFG56NHWgEApg5pieHtKzYMe8TMa6Us3bm+bOHu3JLJDzZHLTvbJgRUs6/6/qVKYrKW9ACocNdj7pzQur4/Aqp5W73bF8Ouqf1h74lBEIBXyyWcHUMCrNYwHPpgkNnXyzbo/sVMbd/DbU0b8E4f3hqNalXHuU8fxsgupj0w7G2n9JUNba4slclcFfpbD5hPzl+zs7vx76/1gI+X5TYL3lZqGM3ty10bB1pty1Pe9891RsT0hywOOmft0aU9SfKwdkEY1dW+Bv3LX+mODRP6Vnj9jYH34akuIfh4eGvja1/9qwMa1yrZJ+6tUwOf2XGDZm2gQU8PHRrXMr3Av9ynCcYNuA8DLDyKsfc8Nu9fFffN6WXKVtZvr/Wwa90A8O7DLfHX+N52DSz4aIeKNzOlSk9h9WveTeJf6t0Yv77aAz+/ZPnRraUk8btnO5n83bq+P7ZM7meh9kvZfdKY2IjIy0wvm3t8LV/ABcH6QEZlz1fvPtwSv7/WE4PL9Rp5snPJSSqgmjf+Y6V2prwLnw2FlZp/u3haeKRVmumXry5uU98fy17ujrfKPQrZPqU/Vo7thZjPh1ZYV9PavpWmAuUf+ZV9brzv3YHode/dGrXaNSqeRN97uGT50JHt8c0o849L7GUugWpW1w9Napm/C7OkWKj46HB6Jc/eLd3p+frc3ecGtap40pr8oOnz9tK2SNWreJmc5L4Z1RF9rDQibFou6bm3ti86hNQEAEwxU1tYeoEe0aE+2jWoWANn7pFPLTO/41f/6oCq3p54f6htNVJLX+xmkuSXvaEoZe2Riz2968zVbN5XxxePdgw22x5t1eu9jP//YGgrM9s2f1RsnnS/2X3spxe64qtRHfHD851tireKpwcGtqyLTg1rVkiUPxjaCp4eOtQosz+NKlfrMaZ3E5O/177R22zS+d7DLSttj1f+UXStGj7w9fHCr6/2wPYp/Sss387K497yPdnaBpuv8f13v3uxa+qACrUW9fyr4o9/fsvxA+4zee/Jf7pfl685CajmjW5NAjHtkbvJ0lNdQrD69V7Y884A9LmvFvq3qGNSa2etuYDwz8mlQc1qWP5Kd6x/sw9mP94ODQOr48HW9RA/d7jZpK+ehVqumtVNjyVLbaHUgImNyMpePP2relntz1/ZnVZdMztg+Uay1iYbK20v8u0zFS/SVb094WEmgGZ1a1i8II7t19RsA88+zUq2M6il6UFUehEsWx1/8P1B2DK5H9o1CMA7Q1oifu5wfPmvDlj+Sne0DPJD7/tqVbhzLk1CLCVQpUJHmlb7ly2eTqczqe36eHjFpOCBVneTRnN34f95vgs+fqQ1hratvIq9R5NADGhRB1W9PVDFzIVvyuAWZk86v73aAwfeG4T7m5kmDB46oEYV05NxaSPFTlYa9prbRvkambICqnmjjYWTfHlPlbnzL5+I9GwaiPoB1bBpYl/c36w2PhzWClsm332cMsVMY8XSxEWn02FMr4qPVsv+niv+3RObJvY1SSo6N6qJL//VwVgj9ebAZtj5dn+0a+CPSQ82R8eGNfHnuJLeSO8MboHuTe7Bhc+G4qFyNwszRrTBI+Uee304rGJSca8Dver6NquYCJqW9W4h4+cON6n1eb3cnf6+dwciYsZgszMptw0OwFdlkvN/dQ0xeSQ+okOw3YPIhdxT3fg9fPnU3doNW2uMet0biK6NAzHCTC3EY2Yes5bXur6/2d8BAFoG+Rkf35fW1Jg7XZS203qhzHd+6pMh2GimRuqLJ0tqNprVrYGBLetWqJ3s06w2roQ+YhLTa/c3NdZqlv1e3hncwuT880y3hvD21GHqkBboeW8t3FunBlb8uyd+e7WHzXW5ZdsIDmxZF53NPC4uG8OuqXfP3aXNDcw9+ixl6bv+Z802RikP9x2AQSJl79DDpj1o/P/cke3x4bpo/DS6C95YcdK4rLWGZq/d3xSLD1w2ea1KuSpxTytjGLz4z93Sk51DUFgk4L2/Tpt+tsxe/2TnBvj8iXao5u1pcpdQxcsDR6c9aLGa+O+J9+O+OiXdxh/tGIy9MbcAmN7FlD24GgZWTJqeruTZdo+m1nsZlH6HLer54dQnQ9Dx0x0ATGvD/Kt5YeKgZjgSl4qnujYwVu3/Oa43Vp9IxNynTJOi8s+v545sj+H/DOg3FsAXm89hycErqFndGzvfHoDVJxLg6eGBedsuQKcDVo/rZbwDXfdmH4z4/hAAwPefR2I1/rnTPH4lDTWre8PHywPVqniirl9JMrv0pW5oNWObcfsv92kCDw8dDn/4AGZvOmty1/vzS93w96kb2BtzC/sv3jKJe9GYrlh1PAGz/j6H6cNb4/FODSo81tg0sS/eXXMKOuiw4J/q6O5N7sGJ+PQKFxxLe9vq13sjKjEDo5ceAwBjctQhpCb+a2v7q7KJaJk/zD3j79iwpklNAVDS7qH8vtS8nh/+91ZJQjV18N1k6q0Hm+MtM42RgZIu3z+O7oomH24GAHz+RLsKd7MAsOvtuxeK7VP6I/q6Huk5+Rharm3JA63qYs+FFNS3UOvjWSY5szYmjqeHDmHTHkDv0D0AYGwPVL4XTukgbKUX0qreHvjaTA2kf5kxaOr4+eBWlgEAsGZ8b4xaGAYA+Hc/09qV8QPuw3PdG5n0BAvyt60904Jn7tYSrRnfG3Ep2Zi2LtpYNqDkgvvL4XiL63i1b1P4V/VG32YVH/O92LsJHmhVFw3+eTRTtr3U5kkl56nSZKCozPFtqVfbMBvGfClfy9S+QYDxtfYNAnDpVg4AVNjX5v2rAz5/sp1JYm6txqp/izo4UObY3jW1v001hWXXWHZ4j5mPtsUbA+6rcF7v0qgmTiZkYFDLOsa2N9b4V/VCZl5hpcu5GhMbCZWt8n+2RyOM7BJikphUdqdTz78qwqc/VOEE3rFhTZxKzABQsct2g5rVcD3jDoC7VZVASRXx6hOJCL+abjzwy370vYdbmsTr4+UBQ2Ex1r/Zp8LO37XxPYi4mo7X7m9qMhrrE50aYOqfpwCYVpG3+KehnbmaC0v+1TUEf0VcA3D3xNkqyA/31fFFjare+PiR1nh6UViFzwVU90bHkACcuqbH8Pb18Uj7+hAEwMfLEz41PLH9bdMq6x5NA80mTmWrsePnDq/w/jtDWqJJbV8MalkXdfx8MPGB5iguFnBfHV+0DwkwOUm1axCAYx89iJ/2XTK5UyzdvjlVvT2NJ7NJDzQz1t41qFmtwlgvtWr44OW+TfFsj0Z48Jv9uJ5xx9iosqq3J17u2xQvW2mL0yGkJna8bVoTt+TFbth57iaGlWujZaltlK+PF/o2q43xA+7DXxHX8Ea56nl7Va1iejcKmF6Ayu5f04e3xqoTiSaJixh6NAnE8fg0PGyhhq7sDUDLID+0tNBD5+tRHbHi6FU8Wa59km8VT+TkF6FfmVqc3vfVwphejdHCwrrqB1TDjrf7mxyrDQOr48B7g3BDfwd38ouMjxdr+Hjh1MwhFnsgVvHywKEPBkEQgDsFRXhh6TG89UAzdG8SiJjPh+LM9UyztYHlE4Fe9wbiw2Gt0KyO+XGxImcMRmZegUk7uO5NAtG9SSAuJGXiTkGR8SL6yYg2JomNTmfaJqSKlweet9LTrGxtc5dG9+Crf3VAk9q+aBts+lhqYIu6WLT/ssUeR0DFNj/WEo92Dfxx5nqmSQPc2Y+1Qz3/qnjCwsjAlhKTlkF+OJmQYfLaf57vjBHfH0JdPx/8+moPVK9i26X73jo1jDeb5Zl7IrD0pe7YEp2ERyupQev5z3nrrzf6YMi3BwCU3Hy90Eva9om20gmC3PNw2u/HH3/EV199haSkJLRt2xYLFixAv36V9xrIzMxEQEAA9Ho9/P3F6UVT3tOLwnD8ShoA8xdEAPhw7WmcvqbHhgl9kZ6bj55zdltdvryE1Fz0/2ovACDui2EmbXtuZuah55zdqF7FE+HTHzI5AFKy8vDbkat4tkdD4wlgTXgisvIKK8ztor9TgFtZeWhWt+IJNjOvAEcvpWJAyzoVHhuV3uUuHtMVQ8pcEPR3CuDj5WHzoFJ5BUX4YvN53Moy4MtRHYx3l8XFAnS6f7rKz9yOLEMhtk3ph1ZlekUVFQu4U1BUISG0V1xKNgKqecs25kzpoWnPWEC5+YX4K+IaBrepJ8mw5oIgYPbf59C6vh+e6W7+JCYIgk0xH72cimcXHzX+ffHzYcbEP7+wGK/9egLdmwRiUpm73bBLqfDy1Ik6VoglxcUCDIXFqFbm4vfZ/87h50NXMG7AvZg2zHzDUltlGwqRnpNvthZTDrb+blKLv52DF5cdx/gB9+HpbiFm2y6K4VRiBhoFVsc9ZRKY0vMXUPF8HLrlPBb9U4Ne/r2iYgGGwiKbEw5rMvMK8O3Oi3iiUwOHxo8qK9tQiC+3XcCIDsGV1nxbU/q9TBzUDCH3VMNTXUOMiZkgCCgoEio8TRCbPddv1SU2q1evxpgxY/Djjz+ib9++WLRoEZYuXYpz586hUSPr2aIrEpsxPx/DwdjbAGxPVPZeSEGNql52naxPX8uAl4eH2fYQgiCgqFiQ7IRgTVxKFs5cz8Tjncw3hhRTVl4BbmfnyzrKKDkn+poet7LzEFyzmklyqlTFxQJiU7LRvG4NUceBImVISM3FkoOX8Xr/eysknNmGQrSbuR0dQwIsD3GgUaWJTcT0h+zuASsWTSc2PXv2RJcuXfDTTz8ZX2vdujWeeOIJhIaGWv2sKxKbq6k5ePmXExjX/148K3G3YSIicp2ComJ4eegUUbPlShm5+cjNL7Kp3Y1U7Ll+q6qNTX5+PiIiIvDhhx+avD5kyBAcOXJEpqhMNa7li73vDpQ7DCIiEpm7Tpxbs3oV1FTGE1ObqCqxuX37NoqKilCvnmn3zHr16iE5ObnC8gaDAQaDwfh3Zmam5DESERGRfFSZfpavBrTU6C00NBQBAQHGfw0bSjvbLBEREclLVYlN7dq14enpWaF2JiUlpUItDgBMmzYNer3e+C8xMdFVoRIREZEMVJXYVKlSBV27dsXOnTtNXt+5cyf69Kk40aSPjw/8/f1N/hEREZF2qaqNDQBMnToVY8aMQbdu3dC7d28sXrwYCQkJGD9+vNyhERERkcxUl9g888wzSE1NxaeffoqkpCS0a9cOW7ZsQePGFeeWISIiIveiunFsnOGKcWyIiIhIXPZcv1XVxoaIiIjIGiY2REREpBlMbIiIiEgzmNgQERGRZjCxISIiIs1gYkNERESawcSGiIiINEN1A/Q5o3TIHs7yTUREpB6l121bht5zq8QmKysLADjLNxERkQplZWUhICDA6jJuNfJwcXExbty4AT8/P+h0OlHXnZmZiYYNGyIxMdHtRjV257ID7l1+dy47wPK7c/ndueyA68svCAKysrIQHBwMDw/rrWjcqsbGw8MDISEhkm7DnWcRd+eyA+5dfncuO8Dyu3P53bnsgGvLX1lNTSk2HiYiIiLNYGJDREREmsHERiQ+Pj6YOXMmfHx85A7F5dy57IB7l9+dyw6w/O5cfncuO6Ds8rtV42EiIiLSNtbYEBERkWYwsSEiIiLNYGJDREREmsHEpowDBw7g0UcfRXBwMHQ6HTZs2GDy/s2bN/Hyyy8jODgY1atXx9ChQxEbG2uyzMCBA6HT6Uz+PfvssybLpKenY8yYMQgICEBAQADGjBmDjIwMiUtnnRhlB4CwsDA88MAD8PX1Rc2aNTFw4EDcuXPH+L4Syw44X/74+PgKv3vpvzVr1hiXU2L5xfjtk5OTMWbMGAQFBcHX1xddunTBX3/9ZbKMEssOiFP+S5cu4cknn0SdOnXg7++Pp59+Gjdv3jRZRonlDw0NRffu3eHn54e6deviiSeeQExMjMkygiBg1qxZCA4ORrVq1TBw4ECcPXvWZBmDwYC33noLtWvXhq+vLx577DFcu3bNZBmllV+ssi9evBgDBw6Ev78/dDqd2TIpreyAOOVPS0vDW2+9hZYtW6J69epo1KgRJk2aBL1eb7IeV5efiU0ZOTk56NixI3744YcK7wmCgCeeeAKXL1/Gxo0bERkZicaNG+Ohhx5CTk6OybJjx45FUlKS8d+iRYtM3n/++ecRFRWFbdu2Ydu2bYiKisKYMWMkLVtlxCh7WFgYhg4diiFDhuD48eM4ceIEJk6caDJKpBLLDjhf/oYNG5r85klJSZg9ezZ8fX0xbNgw47qUWH4xfvsxY8YgJiYGmzZtQnR0NEaOHIlnnnkGkZGRxmWUWHbA+fLn5ORgyJAh0Ol02LNnDw4fPoz8/Hw8+uijKC4uNq5LieXfv38/JkyYgKNHj2Lnzp0oLCzEkCFDTH7bL7/8EvPnz8cPP/yAEydOICgoCIMHDzZOUQMAU6ZMwfr167Fq1SocOnQI2dnZGDFiBIqKiozLKK38YpU9NzcXQ4cOxUcffWRxW0orOyBO+W/cuIEbN27g66+/RnR0NJYvX45t27bhtddeM9mWy8svkFkAhPXr1xv/jomJEQAIZ86cMb5WWFgoBAYGCkuWLDG+NmDAAGHy5MkW13vu3DkBgHD06FHja2FhYQIA4cKFC6KWwVGOlr1nz57C9OnTLa5XDWUXBMfLX16nTp2EV1991fi3GsrvaNl9fX2F3377zWRdgYGBwtKlSwVBUEfZBcGx8m/fvl3w8PAQ9Hq9cZm0tDQBgLBz505BENRT/pSUFAGAsH//fkEQBKG4uFgICgoS5s6da1wmLy9PCAgIEBYuXCgIgiBkZGQI3t7ewqpVq4zLXL9+XfDw8BC2bdsmCII6yu9I2cvau3evAEBIT083eV0NZRcE58tf6s8//xSqVKkiFBQUCIIgT/lZY2Mjg8EAAKhatarxNU9PT1SpUgWHDh0yWXbFihWoXbs22rZti3fffdckuw8LC0NAQAB69uxpfK1Xr14ICAjAkSNHJC6FY2wpe0pKCo4dO4a6deuiT58+qFevHgYMGGDy3aix7IB9v32piIgIREVFmdy5qLH8tpb9/vvvx+rVq5GWlobi4mKsWrUKBoMBAwcOBKDOsgO2ld9gMECn05mM51G1alV4eHgYl1FL+UsfIQQGBgIArly5guTkZAwZMsS4jI+PDwYMGGCMOyIiAgUFBSbLBAcHo127dsZl1FB+R8puCzWUHRCv/Hq9Hv7+/vDyKpmxSY7yM7GxUatWrdC4cWNMmzYN6enpyM/Px9y5c5GcnIykpCTjcqNHj8bKlSuxb98+zJgxA2vXrsXIkSON7ycnJ6Nu3boV1l+3bl0kJye7pCz2sqXsly9fBgDMmjULY8eOxbZt29ClSxc8+OCDxvYIaiw7YPtvX9bPP/+M1q1bo0+fPsbX1Fh+W8u+evVqFBYWolatWvDx8cG4ceOwfv163HfffQDUWXbAtvL36tULvr6++OCDD5Cbm4ucnBy89957KC4uNi6jhvILgoCpU6fi/vvvR7t27QDAGFu9evVMlq1Xr57xveTkZFSpUgX33HOP1WWUXH5Hy24LpZcdEK/8qamp+OyzzzBu3Djja3KUn4mNjby9vbF27VpcvHgRgYGBqF69Ovbt24dhw4bB09PTuNzYsWPx0EMPoV27dnj22Wfx119/YdeuXTh58qRxGXMziwuCIPqM42KxpeylbQnGjRuHV155BZ07d8a3336Lli1bYtmyZcZ1qa3sgO2/fak7d+7gjz/+qPCcGVBf+W0t+/Tp05Geno5du3YhPDwcU6dOxahRoxAdHW1cRm1lB2wrf506dbBmzRr8/fffqFGjBgICAqDX69GlSxeT70jp5Z84cSJOnz6NlStXVnivfIy2xF1+GSWXX+yyV7YOR9cjFTHKn5mZieHDh6NNmzaYOXOm1XVYW48Y3Gp2b2d17doVUVFR0Ov1yM/PR506ddCzZ09069bN4me6dOkCb29vxMbGokuXLggKCqrQWwIAbt26VSEzVpLKyl6/fn0AQJs2bUw+17p1ayQkJACAassO2Pfb//XXX8jNzcWLL75o8rpay19Z2S9duoQffvgBZ86cQdu2bQEAHTt2xMGDB/Gf//wHCxcuVG3ZAdt++yFDhuDSpUu4ffs2vLy8ULNmTQQFBaFp06YAlP/bv/XWW9i0aRMOHDiAkJAQ4+tBQUEASu66S49xoOTRc2ncQUFByM/PR3p6ukmtTUpKirHGUsnld6bstlBy2QFxyp+VlYWhQ4eiRo0aWL9+Pby9vU3W4+rys8bGAQEBAahTpw5iY2MRHh6Oxx9/3OKyZ8+eRUFBgXHH6N27N/R6PY4fP25c5tixY9Dr9SaPLZTKUtmbNGmC4ODgCt0FL168iMaNGwNQf9kB2377n3/+GY899hjq1Klj8rray2+p7Lm5uQBg0vsNKGmLUlqTp/ayA7b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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(1, facecolor='white')\n", "plt.plot(pandas['date_&_time'], pandas['significant_wave_height_(m)'])\n", "plt.xlabel('Date')\n", "plt.ylabel('${H_s (m)}$')" ] }, { "cell_type": "markdown", "id": "9895d44f", "metadata": {}, "source": [ "
\n", "

\n", " \n", "Task 3:\n", "Calculate the basic descriptive statistics. What can you conclude from them?\n", "

\n", "
" ] }, { "cell_type": "code", "execution_count": 6, "id": "ff2161ce", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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significant_wave_height_(m)mean_wave_period_(s)Peak_wave_Period_(s)mean_wave_direction_(deg_N)10_meter_wind_speed_(m/s)Wind_direction_(deg_N)
count155598.000000155598.000000155598.000000155598.000000155598.000000155598.000000
mean1.5902505.6344076.636580232.7012818.319785204.579953
std1.0255241.2926422.03465288.5235613.44923593.936119
min0.0855272.3319081.8260270.0000010.3379450.013887
25%0.8451894.6919915.280570195.0181285.749446125.038362
50%1.3431575.4932906.347569257.0750668.063807221.875462
75%2.0720286.4429277.606390303.98515810.585083286.772466
max9.53749213.61082421.223437359.98572928.536715359.997194
\n", "
" ], "text/plain": [ " significant_wave_height_(m) mean_wave_period_(s) \\\n", "count 155598.000000 155598.000000 \n", "mean 1.590250 5.634407 \n", "std 1.025524 1.292642 \n", "min 0.085527 2.331908 \n", "25% 0.845189 4.691991 \n", "50% 1.343157 5.493290 \n", "75% 2.072028 6.442927 \n", "max 9.537492 13.610824 \n", "\n", " Peak_wave_Period_(s) mean_wave_direction_(deg_N) \\\n", "count 155598.000000 155598.000000 \n", "mean 6.636580 232.701281 \n", "std 2.034652 88.523561 \n", "min 1.826027 0.000001 \n", "25% 5.280570 195.018128 \n", "50% 6.347569 257.075066 \n", "75% 7.606390 303.985158 \n", "max 21.223437 359.985729 \n", "\n", " 10_meter_wind_speed_(m/s) Wind_direction_(deg_N) \n", "count 155598.000000 155598.000000 \n", "mean 8.319785 204.579953 \n", "std 3.449235 93.936119 \n", "min 0.337945 0.013887 \n", "25% 5.749446 125.038362 \n", "50% 8.063807 221.875462 \n", "75% 10.585083 286.772466 \n", "max 28.536715 359.997194 " ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pandas.describe()" ] }, { "cell_type": "markdown", "id": "7afc297d-e1ab-4e3c-9851-0e3aa50d5b93", "metadata": {}, "source": [ "*Another extra step which give a sense on how the data looks is the basic statistical descriptors. Here, we can see that the ranges (min, max) of the variables are reasonable, as well as their mean values. This is an indication that our data is reasonably clean and there are not measurement errors.*" ] }, { "cell_type": "code", "execution_count": 7, "id": "7ec05286", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5.003667620267622\n" ] }, { "data": { "text/plain": [ "(0.0, 350.0)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(2, figsize = (15,10), facecolor='white')\n", "\n", "plt.subplot(2,3,1)\n", "plt.scatter(pandas['mean_wave_direction_(deg_N)'], pandas['significant_wave_height_(m)'], s = 2)\n", "plt.ylabel('${H_s (m)}$')\n", "\n", "print(pandas['significant_wave_height_(m)'].quantile(0.99))\n", "pandas_99 = pandas[pandas['significant_wave_height_(m)']>=pandas['significant_wave_height_(m)'].quantile(0.99)]\n", "\n", "plt.subplot(2,3,2)\n", "plt.title('Dominant Wave Direction')\n", "plt.scatter(pandas['mean_wave_direction_(deg_N)'], pandas['significant_wave_height_(m)'], s = 2)\n", "plt.scatter(pandas_99['mean_wave_direction_(deg_N)'], pandas_99['significant_wave_height_(m)'], color='orange', s = 2)\n", "plt.axvline(x = 200, color = 'r', linestyle = 'dashed')\n", "plt.axvline(x = 320, color = 'r', linestyle = 'dashed')\n", "plt.xlabel('$Mean Wave Direction (ºN)$')\n", "\n", "\n", "pandas_angle = pandas[(pandas['mean_wave_direction_(deg_N)'].between(200, 320))]\n", "\n", "plt.subplot(2,3,3)\n", "plt.scatter(pandas_angle['mean_wave_direction_(deg_N)'], pandas_angle['significant_wave_height_(m)'], s = 2)\n", "plt.axvline(x = 200, color = 'r', linestyle = 'dashed')\n", "plt.axvline(x = 320, color = 'r', linestyle = 'dashed')\n", "plt.xlim([0, 350])" ] }, { "cell_type": "code", "execution_count": 8, "id": "01525205", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\rlanzafame\\AppData\\Local\\Temp\\ipykernel_17016\\3757055316.py:14: RuntimeWarning: divide by zero encountered in double_scalars\n", " L[iL,jL] = L0[jL]*np.tanh(2*np.pi*(Depth/(L[iL-1,jL])))\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Calculate theoretical wave steepness lines following the wave dispersion relationship.\n", "N = 15\n", "iterations = 20\n", "Depth = 35\n", "T_p = np.linspace(0,N,N+1)\n", "L0 = 9.81*(T_p**2)/(2*np.pi) # Deep water wave length\n", "L = np.zeros((iterations,len(T_p)))\n", "L[0,:] = L0 # Initial guess for wave length = deep water wave length\n", "L[0,0] = 0.1\n", "\n", "# Calculate the wave periods using an iterative approach\n", "for iL in np.arange(1,(len(L[:,0]))):\n", " for jL in np.arange(0,len(T_p)):\n", " L[iL,jL] = L0[jL]*np.tanh(2*np.pi*(Depth/(L[iL-1,jL])))\n", "\n", "# Compute theoretical significant wave heights for different steepnesses\n", "Hs005 = L[-1,:]*0.05;\n", "Hs002 = L[-1,:]*0.02;\n", "Hs001 = L[-1,:]*0.01;\n", "\n", "plt.figure(3, figsize = (5,5), facecolor='white')\n", "plt.scatter(pandas['mean_wave_period_(s)'], pandas['significant_wave_height_(m)'], s = 2)\n", "plt.scatter(pandas_99['mean_wave_period_(s)'], pandas_99['significant_wave_height_(m)'], color='orange', s = 2)\n", "plt.plot(T_p[:-2], Hs005[:-2], linestyle = 'dashed', color = 'black', label = 0.05)\n", "plt.plot(T_p[:-2], Hs002[:-2], linestyle = 'dashed', color = 'black', label = 0.02)\n", "plt.plot(T_p[:-2], Hs001[:-2], linestyle = 'dashed', color = 'black', label = 0.01)\n", "plt.xlabel('${T_{m-1,0} (s)}$')\n", "plt.ylabel('${H_s (m)}$')\n", "plt.title('Wave Steepness Plot')\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "7878a897", "metadata": {}, "source": [ "
\n", "

\n", " \n", "Task 4:\n", "Based on the results of the two previous analysis, which data should we consider for our EVA? Why?\n", "

\n", "
" ] }, { "cell_type": "markdown", "id": "74827b26-0502-4917-b338-515e12746901", "metadata": {}, "source": [ "*First analysis, wave height and mean wave direction: When working with wave data, we need to ensure that we are \n", "considering waves generated by the same drivers, so it is the same statistical population. For instance, in a given location in the coast, we may have summer storms coming from the North and storms coming from the East during the fall. Both of them will generate extreme observations, but we need to study them independently, since their characteristics are different.*\n", "\n", "*Second analysis, wave height and wave period: Swell waves are those generated by wind in the far field and\n", "propagated through long distances towards the coast, although they may not be sustained by wind anymore. Swell waves are usually linked to longer wave periods and, thus,lower values of the wave steepness. On the other hand, locally generated sea waves are usually characterized by short wave periods and higher values of wave steepness. In order to consider waves that are generated by the same drivers, we need to separate waves with very different wave steepness.*\n", "\n", "*In the plot above, we can see that the waves over the 99% percentiles present a similar low value of the wave\n", "steepness, being then swell waves. Therefore, we can use for our EVA analysis those waves coming with a mean wave \n", "angle between 200 and 320 already selected in the dataframe `pandas_angle`.*" ] }, { "cell_type": "markdown", "id": "739da567", "metadata": {}, "source": [ "
\n", "

\n", " \n", "Task 5:\n", "Apply Yearly Maxima to sample the extreme observations. Plot the results.\n", "

\n", "
" ] }, { "cell_type": "code", "execution_count": 9, "id": "ac74ee38", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '${H_s (m)}$')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Function definition\n", "def yearly_maxima(data):\n", " max_list = pd.DataFrame(columns=data.columns)\n", " for i in pd.DatetimeIndex(data['date_&_time']).year.unique():\n", " one_year_value=data[data['date_&_time'].dt.year == i]\n", " one_year_value_pos=one_year_value['significant_wave_height_(m)'].idxmax()\n", " one_year_value_DF=one_year_value.loc[[one_year_value_pos]]\n", " max_list=pd.concat([max_list,one_year_value_DF])\n", " return max_list\n", "\n", "#Using the function\n", "BM_maxima = yearly_maxima(pandas_angle)\n", "\n", "#Plotting the results\n", "plt.figure(1, facecolor='white')\n", "plt.plot(pandas_angle['date_&_time'], pandas_angle['significant_wave_height_(m)'], color = 'k')\n", "plt.scatter(BM_maxima['date_&_time'], BM_maxima['significant_wave_height_(m)'])\n", "plt.xlabel('Date')\n", "plt.ylabel('${H_s (m)}$')" ] }, { "cell_type": "markdown", "id": "17f0db77", "metadata": {}, "source": [ "
\n", "

\n", " \n", "Task 6:\n", "Fit the sampled extremes to fit a Generalized Extreme Value distribution.\n", "

\n", "
" ] }, { "cell_type": "code", "execution_count": 10, "id": "5d95df81", "metadata": {}, "outputs": [], "source": [ "#Defining the function\n", "def fit_GEV(data): \n", " GEV_param = stats.genextreme.fit(data, method = 'mle')\n", " return GEV_param\n", "\n", "#Using the function\n", "GEV_param_BM = fit_GEV(BM_maxima['significant_wave_height_(m)'])" ] }, { "cell_type": "markdown", "id": "c8f29561", "metadata": {}, "source": [ "
\n", "

\n", " \n", "Task 7:\n", "Assess the goodness of fit of the distribution using a QQplot. Comment about the results of the fitting.\n", "

\n", "
" ] }, { "cell_type": "markdown", "id": "4ec434e4-ec52-4043-9ffb-fc4607b7baa4", "metadata": {}, "source": [ "The following cell completes the task in 4 steps:\n", "1. Define the function for the empirical cumulative distribution function\n", "2. Using the function\n", "3. Extracting the empirical quantiles\n", "4. Calculating the quantiles predicted by the fitted distribution\n", "5. QQplot" ] }, { "cell_type": "code", "execution_count": 11, "id": "b8b42f8c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Predicted quantiles')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def calculate_ecdf(data):\n", " sorted_data = np.sort(data) \n", " n_data = sorted_data.size \n", " p_data = np.arange(1, n_data+1) / (n_data +1)\n", " ecdf = pd.DataFrame({'F_x':p_data, 'significant_wave_height_(m)':sorted_data})\n", " return ecdf\n", "\n", "ecdf_BM = calculate_ecdf(BM_maxima['significant_wave_height_(m)'])\n", "\n", "empirical_quantiles_BM = ecdf_BM['significant_wave_height_(m)']\n", "\n", "pred_quantiles_GEV = stats.genextreme.ppf(ecdf_BM['F_x'], GEV_param_BM[0], GEV_param_BM[1], GEV_param_BM[2])\n", "\n", "plt.figure(8, figsize = (5,5), facecolor='white')\n", "plt.scatter(empirical_quantiles_BM, pred_quantiles_GEV, 40, 'k')\n", "plt.plot([5, 10], [5, 10])\n", "plt.xlabel('Empirical quantiles')\n", "plt.ylabel('Predicted quantiles')" ] }, { "cell_type": "markdown", "id": "d95b9a2c-b9fe-4bea-a340-eb65111fd6f4", "metadata": {}, "source": [ "*`QQplot` compares the measured and predicted quantiles given by our fit. Therefore, the perfect fit would be the 45-degrees line. In the plot, we can see that the fit is actually very close to that line even for high values of the variable, suggesting that our model is properly modelling the tails.*" ] }, { "cell_type": "markdown", "id": "dd8750c1", "metadata": {}, "source": [ "
\n", "

\n", " \n", "Task 8:\n", "Plot the return level plot and determine the value of the significant wave height that you need for design according to your calculated return period. Remember that return level plot presents in the x-axis the values of the variable (wave height, here) and in the y-axis the corresponding values of the return period. \n", " \n", "*Hint: check the definition of return period, it is very easy!*\n", "

\n", "
" ] }, { "cell_type": "markdown", "id": "8ac93770-323e-4407-8464-f50abffed410", "metadata": {}, "source": [ "The following cell completes the task in 4 steps:\n", "1. Create a linspace of the values of Hs and evaluating their non-exceedance probability (cdf)\n", "2. Calculate the return period\n", "3. Plot: it is common practice to plot return periods or exceedance probabilities in log-scale\n", "4. Determine the design value for RT = 475 years" ] }, { "cell_type": "code", "execution_count": 12, "id": "01234b40", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The design value of Hs using the Block Maxima & GEV approach is 9.74 m\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(min(BM_maxima['significant_wave_height_(m)']), max(BM_maxima['significant_wave_height_(m)']+0.5),100)\n", "pred_p_BM = stats.genextreme.cdf(x, GEV_param_BM[0], GEV_param_BM[1], GEV_param_BM[2])\n", "\n", "RT_BM = 1/(1-pred_p_BM)\n", "\n", "#\n", "plt.figure(8, figsize = (5,5), facecolor='white')\n", "plt.plot(RT_BM, x)\n", "plt.xscale('log')\n", "plt.ylabel('${H_s (m)}$')\n", "plt.xlabel('Return period (years)')\n", "plt.grid()\n", "\n", "#\n", "RT_design = 475\n", "p_non_exceed = 1-(1/RT_design) #non-exceedance probability\n", "design_value_BM = stats.genextreme.ppf(p_non_exceed, GEV_param_BM[0], GEV_param_BM[1], GEV_param_BM[2])\n", "print(\"The design value of Hs using the Block Maxima & GEV approach is\", round(design_value_BM, 2), \"m\")" ] }, { "cell_type": "markdown", "id": "0b49b264-cec2-4a64-9610-4ece8ebbb013", "metadata": {}, "source": [ "**Note how easy it is to see the design value of the wave height for very small probabilities---these are precicely the values that will be used in your design if you have a low failure probability requirement!**" ] }, { "cell_type": "markdown", "id": "f3d9f119", "metadata": {}, "source": [ "
\n", "

\n", " \n", "Task 9:\n", "**Select two** out of the four techniques listed below and prepare a function for them: (1) Peak Over Threshold (POT), (2) Dispersion Index plot (DI), (3) Parameter stability plots, and (4) Mean residual life plot (MRL).\n", "

\n", "
" ] }, { "cell_type": "markdown", "id": "87467790-2d23-4133-8729-5471fe241dbb", "metadata": {}, "source": [ "**You will receive the solution for this part after the workshop, since these are the functions that you will be asked to use in class!**" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.13" }, "vscode": { "interpreter": { "hash": "50288152784871b0b22373b6c80e8f933002c95e3fe900dfad9cb79b734c6969" } }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }