{ "cells": [ { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "from IPython.display import Image\n", "import pandas as pd\n", "import warnings \n", "# this will allow us to use the code in peace :) \n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Lecture 27:\n", "\n", "- Take a look at data with respect to time (time series)\n", "\n", "- Learn a bit about time series analysis. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Time series in Earth Science \n", "\n", "#### Earth's orbit - pacemaker of the Ice Ages\n", "\n", "One of the classic problems in Earth Science is, \"What controlled the coming and going of the great ice sheets?\" It has long been known that there were several, perhaps many, ice ages. In the European Alps, several keen observationalists (among them the German author/poet/gentleman scientist, Goethe), had noticed that Alpine glaciers must have been larger in the past. \n", "\n", "Between 1837 and 1840, a Swiss-American geologist named Jean Louis Agassiz used the moraines, striations, and glacial erratics deposited by moving glaciers as evidence that much of Europe was once covered with a vast ice sheet like that still on Greenland today. That said, the causes of these profound climatic changes remained a mystery. \n", "\n", "In 1920, Milutin Milankovitz explained the coming and going of ice ages as a response to changes in the Earth's _insolation_ (the amount of energy recieved from the sun). He argued that insolation is controlled by changes in the Earth's orbit around the sun. This idea has now been widely embraced by the paleoclimate community, largely because of the very strong coherence between cycles in Earth's orbit and evidence for changes in ice volume using geochemical proxies like oxygen isotopic ratios. \n", "\n", "The orbital cycles can be calculated by knowing the exact configuration of the planets. Milankovitch famously took the first stab at it from his prison cell during WWI. Nowadays it is calculated with fancy computers. The key parameters are _eccentricity_ (or ovalness of the orbit around the sun), the _obliquity_ (tilt) of the spin axis and the _precession_ of the spin axis. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/jpeg": 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\n", "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename='Figures/Milankovitch_Cycles.jpg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[_Figure from_ http://www.jamstec.go.jp/e/about/press_release/20141027/; _see also_ http://www.sciencecourseware.org/eec/GlobalWarming/Tutorials/Milankovitch/]. \n", "\n", "The Earth's orbital parameters of ellipticity, obliquity and precession vary in predictable ways. One commonly used model for variations in them over the last few hundred million years was published by Laskar et al. (2004; http://dx.doi.org/10.1051/0004-6361:20041335). \n", "\n", "Let's take a look at the behavior of the last few million years using the data file from the Laskar et al. (2004) paper. \n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Index(['Age (ka)', 'Eccentricity', 'Obliquity', 'Precession'], dtype='object')\n" ] } ], "source": [ "# Read in the datafile into a Pandas DataFrame\n", "cycles=pd.read_csv('Datasets/IceAges/INSOLN.LA2004.BTL.100.csv')\n", "print (cycles.columns)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we filter the data for the last million years and then we plot it against age, i.e., as a time series. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cycles_1Ma=cycles[cycles['Age (ka)']<1000] # only look at last 1000 ka (1 Million). \n", "\n", "# set up the plot as three rows\n", "# start with Eccentricity\n", "fig=plt.figure(1,(8,8)) # make a nice big plot\n", "fig.add_subplot(311) # notice how you do not need the commas!\n", "plt.plot(cycles_1Ma['Age (ka)'],cycles_1Ma['Eccentricity'])\n", "plt.ylabel('Eccentricity')\n", "\n", "# add obliquity\n", "fig.add_subplot(312)\n", "plt.plot(cycles_1Ma['Age (ka)'],cycles_1Ma['Obliquity'])\n", "plt.ylabel('Obliquity')\n", "\n", "# add precession\n", "fig.add_subplot(313)\n", "plt.plot(cycles_1Ma['Age (ka)'],cycles_1Ma['Precession'])\n", "plt.ylabel('Precession')\n", "plt.xlabel('Age (ka)');\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see a lot of cycles on different time scales. The question is how this relates to the amount of insolation. In the literature, there are many attempts to convert the orbital parameters, like those in the plot above, to the amount of insolation received by the Earth's atmosphere as a function of latitude and age. One recent paper was by Huybers (Huybers, P. 2006, http://dx.doi.org/10.1126/science.1125249). You can get the data (credited to Huybers and our own Professor Ian Eisenman)\n", "from here: https://www.ncdc.noaa.gov/paleo-search/study/5792. \n", "\n", "It is traditional to consider the amount of insolation received at 65$^{\\circ}$N. So let's take a look." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Index(['Age (ka)', 'Insolation (W/m^2)'], dtype='object')\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#read the data into a pandas DataFrame\n", "fig=plt.figure(2,(8,3))\n", "insol=pd.read_csv('Datasets/IceAges/j_65north.csv')\n", "print (insol.columns)\n", "plt.plot(insol['Age (ka)'],insol['Insolation (W/m^2)'])\n", "plt.xlim(0,1000)\n", "plt.ylabel('Insolation (W m$^{-2}$)')\n", "plt.xlabel('Age (ka)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But how do we relate these wiggles to ice ages? Glaciers tend to over-ride the evidence of their older siblings (as we saw in the lecture on rose diagrams), so how do we know the timing and extent of past glaciations? The answer is marine fossils. Marine fossils, for example, formainifera, are made of calcium carbonate and retain a record of the oxygen isotopic ratios of the sea water in which they live. And \"So?\", you say. What does that have to do with ice volume? Here is the answer in a nutshell: \n", "- There are several isotopes of oxygen, two of which are fairly common: $^{18}$O and $^{16}$O. \n", "- During evaporation, the lighter isotope is preferentially removed, leaving the water body enriched in the heavier isotope. When the water condenses, the process is reversed and the heavier isotope is preferentially removed. So nothing should happen over time, right? What goes up must come down. But it isn't that simple. \n", "- Evaporation occurs mostly in the tropics (because it is hotter) and then the clouds move north raining and snowing out as they go. This process is Rayleigh distillation and results in an enrichment of the light oxygen isotopes in the rain and snow. If the snow gets trapped on land, for example in a glacier or ice sheet, then there is an enrichment of the heavier isotope in the sea water. The ratio of the two isotopes is a proxy of the volume of ice. \n", "\n", "We will need a measure of the isotopic ratios in foraminifera recovered from deep sea sediment cores and their DATES. The latter was done using magnetic stratigraphy (see, e.g., Shackleton and Opdyke, 1973, Quaternary Research, 3, 39-55, https://doi.org/10.1016/0033-5894(73)90052-5). \\[Magnetic stratigraphy uses records of reversals of the magnetic field recorded in sequences of rocks to date them.\\] \n", "\n", "A modern version of these data was published by Lisecki and Raymo (2005, http://dx.doi.org/10.1029/2004PA001071) called the LR04 stack. This is a stack of 58 records of oxygen isotopic variations, several of which were independently dated using magnetostratigraphy, from all over the world's oceans. \n", "\n", "\n", "\n", "Let's take a look at that record: " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Index(['Age (ka)', 'd18O', 'uncertainty'], dtype='object')\n" ] } ], "source": [ "d18O=pd.read_csv('Datasets/IceAges/LR04stack.csv')\n", "print (d18O.columns)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data are cast as $\\delta ^{18}O$, defined as: \n", "\n", "\n", "$$\\delta ^{{18}}O={\\Biggl (}{\\frac {{\\bigl (}{\\frac {^{{18}}O}{^{{16}}O}}{\\bigr )}_{{sample}}}{{\\bigl (}{\\frac {^{{18}}O}{^{{16}}O}}{\\bigr )}_{{standard}}}}-1{\\Biggr )}\\times 1000\\ ^{{o}}\\!/\\!_{{oo}}$$\n", "\n", "And it is traditional to plot them with the heavier isotope down. \n", "\n", "Let's plot them up for the last million years. \n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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fdnc4E+/n8ZT7ttulsjbuTKHU9rzyQ3rTsAeea6/KvR26icHxNA5NZTCt12lY0M2Z/+xw+09liobxV0Pm3xgYY5MAHoDJdc8YG2OM8QLl3wNwlv76AIDlwq7LANgHiH1GQmdZ6TmirE7liuiIKiDS1lBKm2L+n7ltO/7up5trXJqHdAV/b8Le+MdVGScu7ALQ3sngJ49pjGxeR9TYZlzPgMIoVmr/eERGXJUx4cHotRq5Ni+GiyVmxGIn0u6vQ04I3wXp5rZCWX82zA1kggZn/oC3hVQzmEwXwBhwWJ8PeEG1oDxqTmCMYTpTQLfJ+OdnSei0EQSp9h8gol79dRzARQCeNe2zWHh7OYCd+uu7ALyOiPp0od/r9G1tAb8BpudIJbFkrmgIwgBAakPMnzGGHz6yD7/fdqSGuf9Gj7Uu67Pvm5AvldHXoV33drq2949rjGjdil5jG3cBBiVE7LaI+QOaN2IsYOMvLuTaz/zLSEQURBUJU2n3zyYf93nH9OPRPWNtLdvNjX67OzSKxv8PzxwJ5Jx8kcHPzYupzQa3f7ZQRr5Urrj9wzx/T1gMYAMRPQ3gCWgx/9uJ6Hoiulzf54N6GuBWAB8E8B4AYIyNA/g3/XtPALhe39YWdEYUEAHTcySfeGg6iwXdtUw1yJi/aJTEhzlbKOHRPVpNdu6ZMKNUZiiVmfHgtZMJZPIlnL2qr2oxpehhFL+Zf1yVkYjIOGN5r+Xn8zqDN/7iQq7txp9pxZd6E2pN9zUncO3O6vkdANBW1z8ft5fx+4EDE2mcvrwX56zux6dveyaQa8IXPgcmMuiMKujUNUrpWRBe5X+/4fZX5n6FP3cKqxaAMfY0gDMstn9KeP1RAB+1+f73AXzftwF6gCQRuqJKW+OrXnBgIoPTllUMRqXCX3A3rsgkkrkiFgJ46IURDI5njM5YdqtoHlfr1uPa7UyxzBRKRhlZDp7z73f8L6JIuGLdEttFUn9HBKPJYNv6ikaq3amvpTKDLBF64xFvbn/9vuNu5ol0HvM6o05f8Q2c8Y8mc7YFnYLAgYkMzl7VhwtPXojH945jZCZrmWXSSowbxj+NrpiCuJ5Om2lzzH8mW8B/3/8CANTG/EPmf/ShO67OCbd/qcxwaDJT5VJvR8x/TDBKXK3/l//zOD72m4rCumizGOGTM3d3tyvLYtuBKWwZnKyZkINK+ymWylUNhczojauYzgQ7UYrx4FybU1952eXuuOLp2eSLFt6xczzVfuYPaAK4dqBYKuPIdBbL+hLo13U4fl6TVK6Ia29+0kidPjSVRVdMQUJ/zr5+3y480IZ6Axxfuft5I/uCG38+h4aCv6MQ3bHgJ9pGkMwVUSixKoW4FLBADah+SKzU+qpMtuIZ7hngzL9d9RWu+u6jAGpTTzjz93sxVTBVFjQjokiB9xcfFxh2O93+33pgN361+QAkiRCPKMh4uEf4uBf3aAtkL16DVkMU+h1oUynrI9NZlMoMy/ri6E1oz5yfor97dw7h9qcPV23riqlI6G7/g5MZvOcHT/h2/noQw4zc+BOR9ryFgr+jD10xb+yiXeAsOR6psFW+ai0HGPMXa2DvGaktYtKXiNgKrfjCgbvb28X8JbI28jzmHwTzVyX7RzaiSIG73sXsgna6/XmFQUUixFXJk6uYeywW6cy/nRkTk5kCjlvQCaA6VBYk+HmX9SWMlFY/sw+sFqxdMcXwqLUbHYK+Rwx9RGQpZP5HIyKK1FZVsFvwVWtccFW3o7yv6NL/xK3PYMbE/vsSEdsHiU8O3Pi3o77C77cdNgSS5nFGFP89KaUyQ5nBmfnLcuDMX9QYtNvtD2iiv0RE8XSP8MUkN/7jbWb+xy/oRESW2tajoGL84+jjbn8fr4lVNcaumGqrbQkak5nK3y4af1WmOW38AxP8vdSgSDRriuQ4gReeEY2/0oYiP+buV+ZUrL4O1dadzxW18YgMVabA3f47D0/j7376pPHe7N4OgvnzY6sObCiqSoGrj0dmBOM/C8RPU+kC4hHZU0ZIrliGRFpL4JgqtVVpP5UpoK8jgqV98TYy/zSIgMW9MUQVGTFV8tUbwissijBX++TptO3AWLLyt/NiWoD2LM5l4x8y/wYhS1Lby5m6AZ8ERZEa9xwHGfM3n8s8wXZElLrMPyJLiCly4G5/89jN46yo/f27nvxeUx2Zv4RCiQXapGZ4JgdO0GZDJbbpbFFrsezJ+JcQVWQQEfoSkcCK2pjBGMNkuoDeuIplbTX+GSzoiiKqN5DqT0Qw4eOC6Ihu/C88aYGx7cRFXVX79DsUAPMb/H748/XLDa8poBn/2bDgbRSh8W8Qc4X5c/dnrM3Mn7v9L127WMvDzlRPsE6raM5mI4qEqCq3PaWsxu2vs3G7bIVWgIeYlDoxfyDY3OORmRxWz9Py49tZjEV0xyYiMtIeuizmimWjX0dfItK26nrDMzkUywyLe2JY2hvHwTa5/YdncljUU8kO6uuI+Mr8D09lcdHJC/D995xtbHvb+uVV+7gt/e0HxlN5vPnMpfjCW06r2h5RJF8X/H4jNP4NQpZpTjB/K8EfX70+tCu4+uH8IemIanFpziR+8J6z8Yurz4Mik60ngv8NUUVGPCIF7vY3LzbOWTWv6r0SQKofv35OzD/aJuO/cl4CQHt7LohFl+IRGYy5D0NkCyWD5fZ1qG1j/ntHUwCAVfM7sKA7hrFUvi26orFkDvMFY9uXiPga8z8ylTH0Fr+79hX43bWvqEmnFX/foDGWyln201BlCvP8j0bMFebPDWV1zF8zIN95cA82N9D7vBHwSSwRUZArljGlTyZrlvbg3GPmISLbx6t5XHmgK9IWt7+42OiMKvjoG06q+ryS8+un219n/g4xf4P5BzghDc/ksKwvAUUipHJF/ODhvW0xnglhceu1y2KuWEZUZ/698UjbKvy9OKYb/3kdGOiKgrHg6uqLGEvmq5i2n8w/VyxhIl0w2veuXdaDtct6avYrBFiQTEQ6X0S2ULYs+qQx/9D4H3WQJfLVzdsqVGL+lZ9ajFuNzLjve94MuJekM6qgVGYY1UU0RtEMB+ZfMf4xxCNy4O7l//j9TuP1iYu6akR33Oj6qaHgx1Yk55g/EJzxzxW1LngLuqLoiCp4bM8YPvu7HfjILVsDOb+IhMAMjcZbLheJuULZ8Jp0x1VMtal+x97RNFSZsLgnhgG9bfNIwBUbGWMa0xWM3fELOvHieBovDM20/Hxc+Ntn49b/u1cdCyBYfZIILvazCjuoDoRlLiA0/g1CkSjQxjiNgsf8rVL9ACCoe5cbJF64Y3gmh46IbBhOp5j/0HQWMVVCd0xBR0QJVFj2oZ8/hR2Hp433VrnHQVT7cqP2D5r58wXcQFcUnVHFCOW0g62qwj3t9TrkipUyuj1xFdOZgmu9QKtw00N78O0Hd6MrpkKRJczXje9oMthrOZ3VioLN76wYu3eetxIJVcb3HtrT8vPxcsa8mJAZH7nkJLz2lIVtY9jmmv4iQrW/SxBRjIgeJ6KtevOez1rs81Ui2qL/e56IJoXPSsJntwU1bjvMFbW/ES+3cPsD/orURBTLZcgSIabHVkdmslUtfJ0epJGZHAa6oiAidETlQLv6/XZLdedoq5SjIGL+/F5zyvPnceug2EjFIxNFIiIbZZvb8VSIz2JF0OrW+FeYf09cRb5UDryWxO/0CnfHDWgFfrjxF1MpgwAvwz1PMP79HRGcuKgLhyZb7yXkWT99Dmr+dhbT4fe0leaAZ9fYIZkrYtdw670lrUKQKoocgAsZY0kiUgH8iYjuZIw9xndgjP0jf01Ef4/qRkAZxti64IbrjLkS8+cu8g4hJiqyx6Cq/PG66zy2OjSdq1rtawUzrMeSypfQGdX27YgqxgPZDlgZfzWA8r78d+QG3gpBM/9hvTjLgq4YOqIKDurlaAMmzQCqM1e89q7IFkpI6E1kOMObyhSMbUFgXkcEEVnCV6/Sprj5XZz5B2v8uddmXkd1jNsvlstLKTs1DVLaKK5O6V7GDgvjr8qEqYz9Nbnmp0/iwedHsOP6iwO9l9wiMObPNCT1t6r+z+kXfTuAn/k+sAahxfxnv/FP5YuIKlKVUEw0YEHE0splhu/8cQ9yxbLhNh+azpqMv2TrhdC6m2nf64gG6/Y3w9r4+9/h67BuWJf0xmz34WMLKhWSx6O5258vUNrJ/C8/fUmlgqXLe9vM/IHg2/pm8iWsW96Lpb1ail1HRCuuMxow8+dhBpH5A/4Zfx7zt3P7A5onp10x/1Suljxx1LsmDz6vZVM9+eKk7T7tRKAxfyKSiWgLgGEA9zDGNtrstxLAagD3C5tjRLSJiB4joisCGK4jZgvzH0vmcOW3HsGekaTl5+lcqWbVGjTz336oEjPn4YfhmRx645UJRtFdaFax1myhZGgWOqNKW1PKok4xfx/vB7Heuh34wiqowiMjeoGfeZ0RdEQrk+PWwUm85isPBJZJAmgu/tevWYSvv/0MIzTi9vnU8vwrMX+gtgKl30gXSogJBoaIMNAVDZz5j6W0883vNDN/f8gOr/fR6+T2V6htwjruZbRi/lpjH+txiYW2Nu4d82dwTSJQ488YK+mu+2UAziGiNTa7XgXgFsaYSGFWMMbWA3gHgK8R0bHmLxHR1foCYdPIiL857Fqef/vFHj/duB+bX5zAzXrLSTNS+WJVGhRQzV79TE8bms5i1XV34LatByvnFoxnT0JskmHvqs0Ixr8joiBbKAeS/2y1ELFi/kSkLwb9G9PByQw6o4qje5T3PnjuSDBxxuGZHPoTEaiyhA6TW3P3SAqfuW17IOMAtPuGM35ZkoxtTkjnixiZyekV/trL/LP5EuJq9b01vzMauNqfq9vNMXhF9qdj5GS6AFUmS2ZtnFtqXx+VpJPxd2D+e/SaDQDwxL5xfwbXJNqi9meMTQJ4AMAlNrtcBZPLnzF2SP9/j/7dM8xfYox9lzG2njG2fmBgoJVDrsFsYf6c8R+YyFiKg9K5Us3EHBUMmJ858y8MaWP7/sP7KucWJrjh6cp4nURzmXyFFXGGmQog3c+KQZuLj3D4HQZK5YqGcbcDZ2uf/d2OQDrTcSEmYD05BlmVrVhihkeLe2LqPZ/X/PRJnP25e5HKlYz7sm1uf0F3wLG4J4bDFnXv/cRYMofumFKzyI3I/gicJ9IF9MQjjk18nNKA/UZdt3/Relx8Ab68P46J1Ozs/hqk2n+AiHr113EAFwF41mK/EwH0AXhU2NZHRFH99XwA5wPYEcS47TBb1P6cuf9h+xFc8rU/1nyeyheN9DoO0e3vp4vYyv0qqmbfsHZRzZisHqZsoWwwfz5Beqnd3ijE8AJ/+OM2DMXv1E8xLm2Hvo6KV8DvdtND01ncs2PIiA1bGf96i5VWolTF/HnM3/nefniX5o4dT+UNIWU7jb95Ybm0N45Dk5lA0w5HU/kalz/gXwe7qUzeMd4PwLEAmN9IW2imOFTF/poc0cWwxw10Il1of88LKwTJ/BcD2EBETwN4AlrM/3Yiup6ILhf2ezuAn7PqO/5kAJuIaCuADQBuYIy11fgrEoExBNpE5Ut3PYvbtlannomT/JgF20vna5m/mOfvpxG1KkW7pLdSM/zNZy6r2deqkpfo9q800fF/MhCzCq48SxtrzEZtL/nM/HnzGSeIn89k/Z1wvnzXcwCAnYc1htMZrR1bkAa0WC4bjN9J7b9lcBIf/uUWlMsMZ63sM7bzhVVXTAERMN0GwV/cZPyX9MaRLZR9bapjxlgyVyP2A3RNjk9u/16HUJZ27vaJq5O5om1pYaciPyMzOagyYVFPHOkAU5O9ILClOWPsaVi76j9lev8Zi30eAbDWt8E1AFmYYCIOVddahVSuiBs37AYAXLZ2MST9nPXaj6ZyRcu61Bx+uv1liyY0C7tqWQUgMH87t7/qzaVbD8mctqJ3KprDr+1N71qPzfs18Zpdnr0ika/iSbEErRv4zfx5KhpnbVapTEEW+xGZP2dpVvfIe3/wOCbSBXz8DScbn1908gJcvEbzQkkSoSuqBLpwYYxpC9xI9e/LF8qHJjOBhVDGU3kcM7+zZrsqSy0VtE5nC+iOqZhMFxwzWAAt5l8qa90qpQDmWhGpXNHSqwXyAO6BAAAgAElEQVToHgmbBdHITA4DnVF0tKEiqVuEFf4aRKuMkFs8fWDKeP2TjS8ar83d8cwuwnS+Vu0vws8VtdVjyidmc79uxSY9y5gYDebffAc9xhjWfPoufPiXzmVoufHq74wYHh7ZZvLxOwwklqB1wicvOwUAMO1ziVru0r/pXesBWBdBqed9eGr/RMuEXAWLmL/V78HDXGWmhcQuOnkBbnr32ThzRcULkIgogU7YhRJDqcxqFlA87Y/XTwgCY8m8JfNvpdt/+6EprPvs3dg1PINkroiuWB23v37ft6O+f9IiW4rDKdVveCaLge4YEhEZmUIpUA+xW4TGv0FUmH8wN6TIorirFQAmTWIScww/baH2F+Hn4qVkWog8fN2FAIA//surseGfX1X1mV07Wv73cMEfL+PaTJbCC8OaEPF3phCKGWNGwZNIpcKejfH3P+Zf3+0PAK87ZSEAYMZn5s8Zzyq9ne/SvnjNPk7FmHYensabvvkIvnz38y0Zj1XM3yr7go87XyojlStaeiziERnZAJsjWbXdBqqZfxAolRnG03nLJjaq3Lpc+90jKZQZMDieqTs/AfbEIAik80XbTISIIqHMrOdQzvx5z4msqfZGoVTGN+5/AZ+/c6fvXjo7hMa/QQTN/MUbhIuSiqUyZkwT7GN7xvDVeyoTasph5QrUGuhWwrza5UxmxbxEzQTDWZv5Ac+aehPILbjuG/doQq9V8+xz5gHgY7/ZBkBTrfPzSTaqZL/V/m4Ef0CFkfsd888XtRg7d8Oef9x8PHzdhdj66ddhzdJuAJXqaFbg+evbDramAIrbmD/fli+WbVldVJEC7Rxpvsc5+hIqYqoUmPGfSOfBGKrq+nMocuty7XkmynS2UHd+0s7tf+MsOzi5/Z1ClaPJnFH2GkCNJ2nL4CS+fPfz+M6De9pWsTQ0/g1CNn74gIy/HoNUJDImC6u45Ht+8AT+674XUC5rrkQthch+Ze2nO8qLMbRrjmNuTOT0wLnFH18YBYC67kbOEjujihHPt435y/7l+T+6ewzbD027Wqhx97vfbCJfLNekgy3tjaMnruL2v78A/3jRCcgWyrhxwy7L7/NFVDOXrFAq46L/fBD37RyyYf7216ugM38roWJMDbZtNDcM5pg/EWFJb9yXmvpWcOpgF5Fbl2vPPWrTmULd+Uk7t70Y2E98/s6d2HpgykHwp43LvCgqlsoYS+WxoCtq2176iJ7Cedc/vBKLe2q9ZkHAk/HXm/OsIaJTichZpfESRzuYvywR5nVGjPK2kw6iJLE5iVntL8LP8XtZWKiKtVHPGBNjtdq/UZY9mszh3p1DAGr1EiL4OFb0J0BUYfX2MX//mP8Nd2othfcJhUPsoMgSOiKy/8y/VGv8RfB6DF/SswLM2Kv/LayJYsCjyRx2DSdx3a+3oVhmBkPkjX2s9CMc2ULJMrce0Npf5woBuv35Pa7WjmVpbzywmL/R1KfD2u1v5+L2Cs78h/Q6H07zExBM4ywrfOdBrYuhVdYSIGgRTCGisZTmQdGYv/a3mZn/sF6TZWG3tQA6CLgy/kSkENEXARwA8CMAPwEwSERf1Jv0HHUIOuY/nSmiO6YgEVGQ0SemybS98coWSkjr7iRznr8IP42/F2OoStaeFL6A4fFuRWpuIhhN5sCY9tA5ZUpwrcFfnrcSAIx4vmzn9id/ij5teG4Y2UJFpOYGXTE1kJi/VXtjDjttBKAZ4U/c+oz+uvEx8OuSK5TAWOWcsk1533t3Dhuv+W9vxepiqlwTo/UThnfLggEv6YkH5vYf1Y2yndsfaI0B5volXsCortu/jTF/AHhyv3Voinshzczf3O0SQE0/kuHpLCKK5Fix02+4Zf5fAtAPYDVj7CzG2BkAjgXQC+DLfg1uNoMbgSCZf3dcRVyVkeHMX5/ArNxmuWLZqILnyPx9jPl7ObZqM7lkC9bMv9Hrzlfgi3rimMkWbb0TlVbI2iPyxnVLAADnHjPPcn8/mP9YMof3/uAJPDekCTzdNuzpiimBxPydmL9TBcYhobJjM7cfj5VOZ6vbrlZ6LVTfS4/tqdRY593krAxPTJEDKSLFYRfzBzTR37BegthvVNr51rLRiEf2vXVwEjdv3I+bHtqDLYPVxnPcYP7c+Du7/VsR6msE/D567/mrLD+3K0w2PMO7XUaNect8Pw3P5LBAb1PeLrjN878MwAli4R3G2DQR/S20Kn0f8mNwsxnNup+9IpUroiOiIC7kjXLj/59vOx1/85Mnq/bPFkrG5Gi1OLjm1cfixg27/VX7e1ip27n2OLszUv2aZAG84MZ8Pa6ZK5YtGZeRZaB7HF5+3Hzsu+FSh/FTy/UTu4armzWlXBYL6Y6rvsf8c3WMv1NVun1jlfBFM7URzEKps1f1A7CP+b8onJe7nq0MT0yVgmX+eSfjr0VXh6ZyWFFHoNosxlN5SATLojten7s33vhw1fs9//EGQxzKF168Cl69drdqwPoqQFtoF8sM//TaE/De81fbjMs65i8yf77QMbv9h6azWGBT8yQouGX+jFk8zXrjndmXwBgAvLYNbRbZQhkxVTLyRoFKzP9lx8zHrdecX7V/rlg2bjgrdvMvF5+E4xd0+lqYRmT+//e3L3fcN2LzgJsnxmZZAFeg81zmjI2wy8z868GPPP9dpk6NyyzS6azQFVPw8K4xfOB/N7V0PCJyddz+79EnzPmdUUcjvOnFCay67g6suu4OV5oGEeZsghMWacVpVJuY/0y2klY2ri+crbximuAvOJaZdnD7B5nrP5rMo78jallIx06T4xYP7Ro1XnPB3xB3+9dL9QuwqicH95x1O7jlozbXhBv/+Z2C279Qa/wXdrdXNufW+O8goneZNxLRO2FRn/9oAI9B+9Hpygo8z1tz++tq/3QeRNpkv255L/7rqnV4+zkrAOjMP2/P/AHdVe3j4oUz4S+95bSqUqpWMDwpdmp/XQndrNufX7t+XdRkZ/y54MtNbj3gT6Mnc6Om//2rc1x9j2cx3LNjqKXjEZEvOacedkYVXHD8fIwmc/j873dWfbZ3NG35HdEt7wZJwRPSFVWM38ou5p/MFQ0l+6ST2z9gtX827xDzDzDXfyyZs4z3A5UFldt0P3PGwEG9JTVjzPC6zBiapHrMP1gvKyAaf/ux2RGR4RmtOVJMlSuCP5OXirv92wm3xv8aANcQ0QNE9BUi+jIRPQjggwD+1r/hzV7wcrN+uwc3vziOh3eNGsxfdPtrHbFUY6X+xnVLcenaxQB05p+zZ/6Alm7lJ/PnD+u65b119+XM3hwrrhX88XhuY+M2mL8+OdlN8vx3dc/8W9/iWRQkrl3agwUumYK5eqIfyBdLjm5/oDKB3rXjSNX2F8dSWNQdw0UnL6jaXs8ImCFOqP2C0bLL85/JVkpdT9QR/AWq9neI+XN2ODTjf7rfWCpvW0ZYVbx5Os2GbcfhKdz61EFMZ4s1v0s95t+OmD9Pre52SAe2G9fITM54Vq3y/LOFEmayRaMjZrvgamZjjB1kjJ0L4HoA+wDsB3A9Y+wcxthBxy+/RMGrcfnNEK781qP4i5s2Gszf7PY3993mxipXKLti/r6m+jHn9DgRi3q0h8XMcGoEf4ZLt7GJoML8I1XvzeCTv10jHzP8YP5iHYd6udAi6tUvaAXyxXJdrwiPFIpG7ZO3PoM7nzmClx07D+v1GD2HV82E2HVRfA7sKvwlc0X0ceNfJ+afL5UDE/M6PafxiIyumFLV/tovaE19vPfesAK/dscv0EIxP3lsP/7hF1sMkZ+YDVJv0ddshk8j4JoZJ7e/ofY3Cf54dT+gMm+JHsYxI6tiDhh/DsbY/Yyx/2aMfZ0xdl8jJyQimYieIqLbLT6LEtEviGgXEW0kolXCZx/Vtz9HRBc3cu5WghuFoGKDBvNXFcNgTabzNakilXFVUv3s1P5+V6XjLMGN8Y+pMhZ0RXFgotolzP/WmKmrX6PhCi6a40yxtcy/tddyQkjl9Gb8/Wf+9QR/QEW/ERfaMP/4Ma0vxcWnLqz5m8zVKutBvD7iWHgmjvn3SGYrbv/xlLPbH3CfXdEsktkiVJlswygLuqI4MpX1fTxjybxtEzDFJhXXDnxhdvUrj6n6nXcengZQrV/prCv4C1ZfxRgzKlA6Mf+IYi34G57JGaw+IkuQJapK9eNZFUE1a7JD3ZmNiP6ViH5IRO8mol/p+f7N4EMAdtp89j4AE4yx4wB8FcAX9DGcAuAqAKcCuATAN4nI/WzoA7jb3y5m3GoYMf+IhEyhBMaY1g7T1AvbYP5Cqp9dnr/scye6kgfmD8CymlneUN2bCrg0mupXKCKiSOjSJ/16MX+3zN8PL4ro9u/0wOadhHitwsiMfXyYgxuruH5PDguu686oijedsRRvOavS1tlrmVORDYuTtCQRJKqO+eeKJeRLZcO4caW52XMGVO61oBb2vG2sXdrXwu4Y/rD9CE78xB9880bkiiXM5Iq2vyk3dG7ZdzJbxHvPX4W3rl9eFVrZfkgz/iv1nhCAtdZBRKvc/jsPT+OPz4/U9Rre/Ph+/OMvtKZfrmL+xVq3Pzf+RISEWt3Zz+gZUuf58RtuZonjGWPvAfCXjLG3Auhq9GREtAzApQBustnljdCKCAHALQBeQ9oT8UYAP2eM5RhjewHsAuBO/eQTgnL7c1TU/gpKZYZ8qax1jjK5jqqYf74IRSJbY+BXYRoOfmy3xj8RqRVa5UtlEEFo19pccaV8sYyoLBm/n5Xb/76dQxgc1zwQbpm/H25/zj4AIGERD7aD321Ps4UShmdyWNbnnHrGGRF3+4v5/YmojK6Yio++/iRjW9JjbYIhQRBpjp8qklTFUif0Blg8hj6ux7etvBdBP9vJbBGdDt4aURU+7FPsn4tL7dz+lUV3/eeuXGZI5ivd+qqNv9adlIcDANT1IFXU/o0/X+Uyw+v/6yG86/uP4/5nhx33vX3rYeO115h/Ol9EplCqcuknorKhvwKA8SRvGDb73f4DRPQBABIRvQLA/CbO9zUAHwFgdwctBTAIAIyxIoApAPPE7ToO6NuqQERXE9EmIto0MjLSxDDroxJb92+CMJcjjaqyMTGlciWMJvNYYCoPyWOYvGlGIiLbMgpZoqZqq9eDYfxdFrJQLFpk5ktlqLJk/A12lQDdolhiUBXB+Jt+v1yxhPf9aBM+pyvU65Ue5Wg180/nizg4mcGbztBu87efu8L1d/1uec51GfVSD7n3RJZqmT+/rvM6o9j0iYvQFVOqYvhuMDydxTHzNQb5F6bro5ha0PKaCacs7sYSXV9ip7a2uzf8wkyuiM6ovZERx3lgwh/VP1fj2/2mdvFtK6TyRTAGw7vWYcH8rzijZvq2hdH0q4nJStTP1LuG4kLSKdxm1Yl0dKaW1XfHVMzkKucXW4W3E26M/7UA9gB4C4BzAXymkRMR0WUAhhljm512s9jGHLZXb2Dsu4yx9Yyx9QMDA40M0zXiqv8xf9FVlCuWEVMk42Y8MJFGqcxqckX7OyKIqRL2jqbww0f2GdXPrOCHQl2EV+avSmQY9WyhhDd+4094bM84ooLnwi4l0C0KJa37G3c1iuxuPJXHBV/YYLwnsi51agWlxXn+e0ZSYAx47SkLse+GS11lTHB40Qc0Ah5rt2OJHN9655kAgP4OzbBNpKw1DPM7o+iKKp7d/tOZAs5c2Yd9N1yKNUt7qj6LqXJVjPyFYa1K4nELO3H8Qs15aZc9YWTyBMj8uxxEb+Li3ayJEXH39iP411uebmgMBwzjb+3NUT143PgijnszROY/mS4gqkg4dUm367G1wu0v6kOGZ5zFk2KKrVMFPqvaJKMpvcCP8Gx0x1VMZ4pV+6gyOf7mQaCu8WeMDTLG7mOMjTPGvsIY297guc4HcDkR7QPwcwAXEtFPTPscALAc0PoJAOgBMC5u17EMgHMzdp8RhGvQXKUtqsrGpMkbo5jZCxFhWV8Ct9XpVQ9o7mE/NTSejb8sGZPLruEkth6YwtbBSaPAiHisRg1tocSgypIR+xUf9Ht2HKmaGOZ1RI3Kg/XQaubPXf6NNP540xlaHH15vz/dwip6COdrc9bKfiztjYPP2eJC1LxA6Yh6Z/65Ytkw1GbEFKlqYX5wIoOYKmGgM4oV/ZqBW2jD/KMBLOwBzUiuuu4OPLpnzNHtL4p6D4zbs9b7nx3GrzYPNlRpkht/XlHQDC8GOGkqt2wWVfZ3REBEuPkD5+Irbz297vEqHT8bf75E4//tB3fjpE/eaUsgjkxnsaQnhi9eeZrjMa2uCe+MKDL/rphSNZePJ/PGNWgnPCuDiOhfGzkRY+yjjLFljLFV0MR79zPG3mna7TYA79Zfv0Xfh+nbr9KzAVYDOB7A442Mo1VQdRWnn3n+5lzjqOCu5u6z1fM7a763tDduiMV++N6zbY8vk78tfb2k+gEaq+eKXlGIKHbVMlyADU4EhVIZqkyIqTLmd0arXIDmuLEXw6u00IvyzMEpY3Fn1emtHiKKhNevWeRarOgVvPRx1IUOQZUr10U07uaSrp0NuP1zDumG5kI9wzM5LOyOgYiMeKxZLGt8Vz+mnyE9oNLWFXDO0HjfK1bjxneciYGuqKPLejJdQJmhob4OBybSWNgdtb2e3OPmxu0/U8P8q4/JVe4vP3Y+rhQEn3Zo9pkHgPFUpSU6oC3sHt87XrMfYwyHpzK49LTFeNvZy2s+rx5XrQjSqj9Cd0w16gZoY8m3Pd4PuKjtT0S/FN8CWAddhd8KENH1ADYxxm4D8D8AfkxEu6Ax/qsAgDG2XR/HDgBFANfopYXbCjO7aDXMq+xlfQmDMW0dnIQsEVbP76j5Hme1MVXCq05cUPM5hyxJgXT188L8eTMWcVwRE/OXCMiXGvv5i+WyMZks64tXTabmlTivruYGskSeehk44bL//pPxup4S2g6aV8c/ZTgAxwp/HAzAb7ccwsmLu6sEfWbG3tkQ8y/ZjiFiejaHprNY2KWxWm7I7JiXERLyObVuSmgpbdczHtD+lktPW4z/+dMeHJi0d/vzFtXj6Tx6bBY2djgwkXEUcEY8xN354oO7tbnmY3FPDIenskbM2y28hBzswJn/iYu6DOJ0x7bDePlx1RK2yXQB2UIZi3rqP/vcIylWeTWU/EIaX3dcqfJ6jaXybVf6A+6Y/zRj7G36v7cCuLfZkzLGHmCMXaa//pRu+MEYyzLG3soYO04vILRH+M7nGGPHMsZOZIzd2ewYWoGoz2VAc6YUkkvWLDKM/8a94zh+QaelUpY/+E5KVQCQJX+7Enp1+yuSHfOv/hvjTdRezxcrfd8141+ZTM0pO2evci5JLMKvmgmNxu8VqfWNhjgM5u/C+L84pl3fG+581sjxBmoNb6fHmH+pzFAoMUfmzxcpt2w+gI17xzHQXcm9Buz7tFdi/v66/UeTgvF3UZthQVespuSzCO7t82pcAWBwIu0o4GzE7c/V/ly4/Lb1GpPmaZZuwee4Zqoucr3JKiHFcIdwP3IcmtLDHz31q2ny+0gU/I3M5NAVVQwPLVBh/owxMMawfzyNxS6O7zfc+BQ/Z3r/cT8GMhcRkSVfC0+IDxqfaMWb6tzV/TXfASq5y/UMh+wjOwQaVfsz/buV7eZUxXhEqemS5RbFchkRfdJf2hfH3duHUC4zSILY8BOXnozH947jstOWuD5uq2L+5v5ZjTJ/mfwr4GT0PfCQfghU3P5ieh9HR1TxlOqXN0IPNjF/VTLG+c+/0nK2j9W9ZG8/dwX2jKZw9QXHWn9X8V/PA1QbaTfir0REdrzvufGfTHsz/mPJHA5MZIy+IFbwkm7HlfV8QcPnmBX9CfzrJSd5EvsBrdFXjafziMhSFamwWkw8skvrL3GKizFatfS1YvXdcRXFMkOmUMJEuoDxVB5rTQLVdqDuHccY20tEfwXgp4yxHIALiGgRgG2MsUd8H+EshqqQryUn+YP23vNX4R36gynGStcus1aA81hmvcdUIv/YIdCI4K8SHxbFOGbvRiIiI5P3HtcEdLW/wfwTyJfKGElq8WD+W1540gK8/4JjPB03okgtafJkZptW9d7dQPKV+bt3+4t49sgMzlndj7/+s1qj69XtX28MMVWuYcBnrOgzzvX5N6+1PXZQqX7i+Jzc/hzxiGxbjhoQ3P4emT+PfZ93zDzbfSIemP+2g5PoiilYpGdTiPPA377KesHlBFWWoEjU1O8xkcqjr0PFCQu7cOczR7CiP2FZMfGObYexZml3VREiO8gSQZaoJuZvzoLhHtjpTBHbDmh1DszZKe2A26f3Q4yxHBF9BsCHAawG8GkiekRfCByVUGUJOR+NPzcmr1+z2EhPEo3BCQtrxX5ARR1cr3qf4nN531KZQSLndJnq8VQ8KWLIw8rt3+hEUCgyw93LmSDvJsfdd+bzuUFMlVsSIzYbwEbGAuhFh3yL+bt3+5th0RkcgO72z5dsP7cfg43bX9FCcrwVbk9cxatPste/iDDqsTfoXXKLMcHt78bD48T8s4WSsXCcSOeRLZRw88b9jgvAVK6IXz4xiEf3jCGuyjhtmb1BUjyI7h7bM45zV/cbi37+kzYjbm/mmQe0Rk59iQiuvfA4/PrvXo71q/pqwqrpfBFbBidx0ckLXR9Xlc3Gv7ZEMq8SOJ0t4JmDU5AlwsmLvXk//IDbp5ffpW8AcCFj7DrG2MXQQgLf9GVkcwARWaqJE7cSBcMYVZ4acZKwW51yEeBUumD5OYfkc2OfEmOuWT9Q/SCJD2at29/Z/emEgiD4O++YeZjfGcEfn9d6jfNzN2LUoooWsmj2eqYb9GiY4ddv+/zQDP79Dq0Aktt2xyLsmF8iKqNUZjUTsh0qLZft3f7ZQhlXflNzTr7iePe1yaw6sfmBsVQlfu9GXxCPKMgUSpYGXSxiM5Eu4Ht/3IOP/WYbbt1i33ft327fgY/839P48WMv4pQl3Y4LTStluxWGprPYO5qq8iK8++WrADh7FuohFmlc5wNo3pC+RASqLOHMFX2IKrXH42GTRS67ZwLa4lyM+Y+lcpjfZcf8C9g1nMSqeYmq8G274HaWGySiHwJYAMBQhTDG7oDmBTgqEVFqK9K1EnwiFN3eYhzfrnXract68b5XrMYX6uSpyj639NWYv3vjr1QZ/8rEqyoWzL9R41+qGH9JInTHVYOx84Vco8zfPO5G4FXxbge/Sjfft7NSGtVOMOcEOxEqX0i4Mf6MsbqNl6KKJvjj4jIvIRBVlhBRJKPbnh9gjFWJ99yskRMOWQhiH4iJVN64jwYd6gLwmhaMAb0O3esAUfDnfB15WewTFlaqwJ+zuh/7bri0piCZF8SbEFe/OJbClsFJrBU8G1FFqnlW3XTyMyMiVCUtlRnGU3nMr2H+qnH8oZksFrvIJAgCbpOI3wPgSmjNdv6PiP4AYDuAM1DxChx1UGWpqcIT9cBvKpH5iobJyZ3+yctOqXt8RfaX+WttX90bUlWWUGbaRJ2vYv7Vf2ciIuPItLNXwwq/33YYzxycxtqlleNFlUrvdv5bmhcbbhAVFMkWvWJcI5VrDdv0q12z6JlopEiJnbfAuH7FEgDnyfcrdz+Pb2zY5Xg8zvw5vD6niTrx9Wbx8VufwSO7x3Diwi5XOeVApe99Ol+qqZMgFrEZT1VS/Zx6AYgL83qdIN2q/blrvtVVJmOq1PDv8b2H9kCRCO9/RYWnRlWpZqHJUxTrZUmJUOWK1mcinUeZ1Va+5CRtOlPE8HQO566urycIAq6MP2NsGsAPAICI3grgr6EtCCYA/Llfg5vtUGWqaefYShjGvwFj5AaSz419csWSJ0W4McGUy9VufzPzb3BivmXzAQCVUq9ANQPIW4RZ3MJQJDfJ/HkxkG+84wzLGg5u4Zfxb3ZxYleRL+ohnYsbfsApXa+aKXr10HVElJYtxKxwu16Bc/2qPnzwNce7+o7YGlkEYww3PbQXANCXUHF4KmsICHlPAyuIDq6uumnBWn2NemW1zS24W4VGY/7FUhm/33YErzt1UVU555giI18sgzFmLGL5s+fUyc8MTfStPWdW1f2AigZrPJXH8EzWtqx00PBsVRhj04yxLzHG3sEYu4Yxts+Hcc0JiKs+P5Bvwg3tBn6n+uUK9uVXrcCrbxVL1cy/VYI/znRExqMZf+1c33lwt3Y+qXHmf8+OIc/f5SiVGa779TYAmqv01CWNK4L9+m291t9//ZpqPbCdUYiq7t3+Iuzy3qOqXHUsrwVi4hEZmYJ/bv/+jgjOXd2Pj73hZNffsdMi7Dw8g3t3avfdpactxo7D09itV4h8wcH4K8J9Xo/5A9pvV08HwZ/LVhv/WIPP/GN7xjGeyuPStdX3odj6nMNw+3tsn83Jg1Hdz1S9T9MaEJ47MoNCidk2lAoa/jf+fglDjPf4gUIT6nM38Jv5Z4slT6IwUVEsPpTm2uCNTgT8Mop/MzcSM9mCUYWrkZa4fLL71G8bbX0BbBmcMGr6m1s1e4VfzD+pu/3f6qIsKwB8651n4aGPvNp4bxcGqnb7u8drbJTZ5kWnV7d/R0T2lfmPpfI4eXF3zb3tBC72NWsReF7/j993Di45dTFKZYatg5MANLZpd03F+7we8wc0Riu2mbYC97Y0Wp/CDnGLdt9usO2gllp3vqmSn6ExETxNvPmOl5h/XBAijuoplgNd1cxfkgiLemLYekD7TZrRPrQS7W0rNMfht+Avr09YZrf3F99yWktuID+rwAHemb+hKC6X8ZW7nzO287KsHBGlseJKPPNAXFhEFQm5Qskz4zSjkQwBEdlCCXdtr3gNmm364ZfgL50rYu3SHnzJRUMWDvHa2IWBKsbf+XcQUwFPXNhl1Ik3w9zXwOvzkogoLcu8MCNXLGEmW6xJCas7JtU6BZEz1vmdUaycl9CzZirXKW/TA0G8w9ww//md0aqqhFbghrDR+hR2aFTwN5bMIaZKNYsbK40Jdz6Dz2EAACAASURBVPu7uRZW47Jj/gCwuDuOx/dp9RTMbdjbhdD4NwG/BX9P7Z8AUJvqxstkNgu/StJyeGb+UoX5ax3+tIfK/LCY02vcwirzIKoX52lW3NVI2puIK7/1CLYfmsb8zqjRCrcZyBKhzFAV02wFUrkSOqLe/lbx2tgz/1omZgW36V5iFsCyvjg+96Y1rr7H0aio1A0m9CYzXvu5c5Gf2fUuMtZERMGFJy3AXduHENGfk1yxjK6ao1UXMXJr/Lma3w78mK02/o16++ya6MQswkzT2QISEdmTpzWmykZmxWgyB1miqi6MHIuEcr5mMtMuBOr2JyKZiJ4iotstPvswEe0goqeJ6D4iWil8ViKiLfq/24IcsxP8jPkfmcri9qcPA/BP8KcZWH+ZvxdGrAi5xKJwztxdL6KnBLotCMPBDfybz1hqbIsqMvaMpjDo0CfdDZrt6MebjXzvXWfh7FXWZZu9gHs5Ws3+k7kiOiLeOINoiG2Nv+rO7T+TqxjktziEHkTm/7b1yz3FcQEgEW28hHQ9jDowRCfEjZh/tUeiEqvWfhcuIHzZsVpevR1jFo/j5vrM74w69hYAKs9Ys54wM2KqjEze+zNm10THKsw0nSl6vk/EtOPRGa3Aj1XYcLHeKlmWaNYw/6Bj/h8CsNPms6cArGeMnQbgFgBfFD7LMMbW6f8u93uQbhFR/FP7b9w7Zrz2UijHC1RZ6+rnV9w/Wyx5Ev5wt/9UpgDRrpsnSVWWwJh3wzaTLeKslX34suCyHtLzwN/xvY2ejmVGs56DtUt7cPaqPqMEbbMwjH+LRX+TDXSMi7hIT3Xr9uf1/79w5Vq8/wL7EiPifdeIIUqosm9uf15+12tnt4RN5cHpTAFEMBZlpy7pwY7rL8ab9EWu3TUVNQ1umP9AVxTj6byj4j9b0DotNqKbcUKjbv/xVN4yNMTvCdGTNJ0teFL6A9VZJYemMrYNexbrYadTFnfPigI/QIDGn4iWAbgUwE1WnzPGNjDGOP16DIA7RVEb4afgj+ecXrHOfXMZr1AVd1W7GoVX5h+RtYdi0lSZ0OxG43n4XkMu09kC+k0rc7N46gIPleBE8NKxbmq0WyFbKBl95lsBbvybdEjox2AolxmKpTKGZnJY6qHVMeBOQOmmyA9jzBBlzu+MOoYzRK1JI5NtIioj7ZPgjxt/O72CHezU/tPZIrqiStV1TkQU4xrYhVLERYQbwd9AZwSMaU1y7JAplFou9gOAeERqyO0/lsxZG3+LolzT2YKr61A1LiEccWQqW+Xetzrfq04c8HR8PxEk8/8agI8AcDMdvQ+A2LY3RkSbiOgxIrrCl9E1ANXH8r48pepzb7JvQNIsrFpSthJemT+frMSyp0Ct+lZtcNwz2WINwzF3kvvH157g6ZgcMVXGFeuWNNyn2+u1qgfeSbHZcAQAvPlbj2DNZ+7C0EwOpTLDEo/GH6jvvark+dtP8B+/9RlccePDAOovsppl/h0RBal80XNoyQ0qbn9v94rRc6BQy/ytFOqVBVXtNd0/ljZ6zwPuY/6A5t62Q7ZQanm8H9CMrNbG2f39zBjT3P4OzN+s9rermmo7LkHtf2TKvnrfFeuW4iOXnIhrXn2cp+P7iUAEf0R0GYBhxthmInpVnX3fCWA9gD8TNq9gjB0iomMA3E9E2xhjuy2+ezWAqwFgxQr79pStgqr4J/hL5Yogan2lLBGVlpSzg/nzyWrMpCg2T0wRg/l7Nf6FmpjeZKbay9DMxKU00OI5Wyjh3p1DyHrMjKgHqYXMf4ueNnZIb5LTiPF/9LoLMeKQJmaVd23GzRv3G68760zSzTL/eERGmWnjabWbdiKdhyyR5/hyRJYgS2QZ87c6Fr+mViLJV35pQ9V7V8Zfz093+h0zhbIvxl/stOhWkJfOa1k85op74vHE+20qU8AxA94Ka3Eh4ky2gJlc0dbtH4/I+LtXzR7DDwTH/M8HcDkR7QPwcwAXEtFPzDsR0UUAPg7gcr19MACAMXZI/38PgAeglRWuAWPsu4yx9Yyx9QMD/rtXuOrcD3aQzJXQEVFaqtQ2w229bifsHU3hxg27LK9BttAY8//lpkHLcXLwcr9exJaMMSRztcz/WtNKvJmJ3tzhyw3+/Y4duPbmpzAyk2s6Y0CE4kPMnxv/pb3e1coLumOORYu6Yyok0tiTG3RFnQ2nmwwDJ3T42NxnIl1Ab1z1HBcnIiTU2voD05miZazajvmbY/aiXsAJfbrWY9LJ7Z/3VtXTLYwKmh5+D04inGP+lePZ6QOcEFe1SoG8e+TiBhbG7UIgxp8x9lHG2DLG2CoAVwG4nzH2TnEfIjoDwHegGf5hYXsfEUX11/OhLSR2BDHueogY6nR/Kqn5yfoB9526nHDNT5/El+56zrj5RWQLZdvGK1bgk9WzR2Yc93NbZ1xEKl9CmdUynHe/fJWJJTb+SCiS9+yJfaOVLINWMkxuWFrh9ufgY/WjMUlMlbF2aY/RW74e/Gb+lbS61ov+ptIFz6JJDqvS1rbM30ZEKb4/fXkvrjp7hauFCNfkOM13mtu/9WYlrlqHPJwwmrIPr5ivTbZQQjJX9Ky7iUe04+wd0Soq2jH/2Yi2VvgjouuJiKv3vwSgE8CvTCl9JwPYRERbAWwAcANjbHYY/wbdzxwjMzlMpPKWSvFkvtiweMwt+PibifnzroBcNc9RKJWRL5U9pYW5Nbzc+JuFgU5Y8+m7AFgLm8SsAXNNBS9QGmD+4rVvpUCaM/9zPndfy4658/A0ehOqp6p0XrC8P+HoUhZR79kQQxMNqf2j/jH/yYzWXrYRxCNybTc6m5h/zCaUInrMLl27CJ9/sztdEU/FtVP7T2UKGEvlfRL8eTf+2/Xqfsct6Kz5zCz4a1SEyReWe8c04++lHXC7EXiRH8bYA9Bc92CMfUrYfpHN/o8A8E/11gQaYaAcR6ayOO/z2sS8en4HNvzzq6o+T+eKvk2yHJEmxs/BJ7EDExmctbKynU+aXrwXoqv29WsW4Z9ed6JlLXl+3d9448PYd8OldY8ruvasjAZnMn/9ymMs44NuoXrI/sgWSnhy/0TV/jxfuxVQWrSSEMM5Ow5PY4mP7Ui9XL96tS/ErneNuKH5feu1l4EbTKYLDRsJsRcFx3TWOj+9Ujip2mCK3096yGioN9+d/tm7AQAXnbzA9THdwmD+dRZjU5kCdg0ncdbKPjy2ZxxLemJY0Z+o2S9mYv7NGn8ugvSq42gnwtr+TcBQnXuIPd/+9CHsPDyNR/eMGtv26k04RKTypQDc/lzw13jYgqfhHZqsZv7cXWpuPeoEkfnHIzKOW9CJ05f31uwXUeobtkKpjO88uBu5YqnKqDpdU7fd1eygSORa8HfDnc/iHd/biG0HpoxtvFJbK9CqwlApYbLdP55uSOznFk7Xr143OSscrzO+RupY8CJBfhTxmmzC7R9VTA2LSmUkczYxfy74q3H7V37TEYeWv2aoLsOcfuSxx1wa/7/64RO48luPIFsoYePeMZx3zDxL3RRfEHJiwDMw5nvM1uGLEq6D8BLmbDfC8r5NoJFUuWtvfgpA/XzPXKGE3mYaw7uA2gK3P4M2EUxmqkVAnPl7KQUrMn+ncIEbte/PHt+Pz9/5LAqlMi5Zs9jYbqVE/sSlJ2PTvommPS2KXjHRTUnd/XqZVFEj0EgREzs0E74QYWa+y/p8NP6yZKtRaOQeveHK0/Avv9qKkxZbFbd1hpvsg0YxlSmgN97Ysy22oAYqOffWce36zP9dL1vl+txG4606OhI/jD/32CXreGI2v6iVRN8yOInRZB5nrKglD0Btql+F+XuM+et/60Q6D6LWVzb0E6HxbwKRBovNAJVyrhxcGc//zxW9pck1glYI/riRnzLF33mBFC/MX1w1OzF0sRVpucwsxUp8kkjmtDQcjpjFcd9/wTF4/wWuh2kL1RDZMds+88Y4LBjCp/7fKc0Pgo+lRcbfXCBmSQNKf7cwN6QR0QgDP2tlH+43hdPcwk3RoUaQL2pMva9R5q9KVb9JpYd8rdGyE/zxa3nTu9bj5MXdrs/txPxF74q5dkYrwAWe5qJcdnh0t1Yh9ZiB2ng/oHmZJGre7c+1CBPpAqKK5Gt2Vqsxd5YpsxBeY/5i/HTKlF8+nsrjuSMzOOmTf8AdTx/2nCbXCFoR8+dGlovvDk1mMDKTE9z+Xpi/aPztFw0iC/z0bduRyhWxe6S6b7mY4TYtTEZ+5CBziC2JnbDj0DR+v+1IzfZlfbWxyUbRKrd/vlTNGv11+0u2LnrRgPlU7boKjbYYrgf+3Pe2yO3vZLTs1f7a3+T1HlEl+/lCNMpDHkIJbsE9iE4LC3F+fXSPZvxXzrN+pohIv5bc7Z+HKpPnIj8xwe0/W8r2ukXI/JuA6jHf3NxmU8RkuoDnhjRvwF3bjwTE/Js3/twtzN3+L7/hfgDAD95zNgBvxl9cNTuFC9KC6+/Hj72IvaMp/GnXKPb8xxtqvABEwH07K61y/TT+YkviOOzP88yhKdvPWjeW1tw79z87XPXeT+PvVCdBfF5aWQbZDm67DHrFlP6c9DQY0jO7/XmVPiu3v2bgpFq3v/43eZ1fJIkgS9a/0YxglIen3WVseAGv6+AkUBQzRR7fO46IIjkKVOMR2fBcjqe0MsBembsR888UatpIz3aEzL8JeI2ZZx1YxGQmX2lpWy4HwvwrgsXGBX98JT6ZLuDr971gbE81IPgT4ZQutE6I473qxAFjlS96UzgLIFRcgPWO2yzcVkysFxJoBURRZDNFqP7j989WvfdT7a/I9i2mRYMXiPH3KebPPWS9Fql5bmBW+4/rBs/OXW2VHcDfN5IFYSfKFBn5h5oUzlohpkqQyDn7QqyZAQAr+hOO9Qt64qoxZxyYyDSUgcHDd5PpQksrdAaBuTXaWYaIx/K4TixiMl0w0rOKJRYI84+0oLEPf3gOTmbwn/c8b2znwsZ6xVjsYNUTm2NxTxz7brgUK+cl0B1TjcI9Yq1yDqLqEr5+rs6NPGiTARscT+M1X3nAqIUgahb8Ai/IAjTe1le8L/75dSfgzWcuxYIu/wwvd/tbLVa4wVIkwn9dtc63MXD45fafSLfA7S/G/FN5SARbcXBUra0LwN83Mr9ozcwsjL/eavlHf3UO3nb2cs/HrQciQmdUcRT87TGF/lbZuPw5ehOq3kGU4ZmDUzh1qX0FSjuIZGKuuf1D498E3Ar+XvfVB3HFjQ87qrkn0wVjlZrKF5HOB8n8vRn/h3eNYtV1d+C5IzNGKtiMTSyuUWHTQher8JiiCSS58efxz9FkDjPCJDEhLApiEf9uebuY6A8e3ofdIynctuUQgOoc/M+9aY0/YxGYv5sSv7tHklh13R146IURY5t43c47Zh7+823rWt6qVYSToIwb/5vevR7HL/Su3veKVgv+ptIFTGUKeFEvBuO1M6IxLrXW7d+XiNg2ToqZBIJA5W9qRBdiV8iKP/9uegQ0Civjny2UMKwvqp8fSiKuylizVBMxvv0c5/4uvXEVk+kC9o+nMZ0tYm0jxl8Njf9RCbcx8+eHktgyOOk4kdyyedAwwg/v0tzUfjN/LlDzygx/u+UgAOBePZa+sNueDTYaY3fDMGOqhGyxbMQDx/Vynuv//V5858E9ALRJqdiiCn71oNgYr0xBD4HoOoaCMJ6/OFerjHT2qr6WjkX8O91U+H1CL6v7u62HjG2jQoOlVgkIncDvR24gD09l8NR+LXWLG7AgxiGep1Ux/9Ovvxunf/ZuvDCUxLyOSMPFpGrd/s716KOKXBNuNNz+DRl/63RMbpS7fCxM1hlTagR/1978FM75j/tQLjO8MDyD4xZ04mt/vg6/+puX4TUnL3Q8Xm8igol0Htv0SoCNGP9YlfGfW+Y0FPw1Ac5U3LIDJ+b/5P5JlNneqm0NemtdgzPQQoP137nLf2V/B4ZsRD6Npr4s6KrP/KN6aiTPAZ5IF2oWMmbBmp+pOHblnlNG2qN14ZiNH3tNyyuDiYI/N8zfvMeu4Rl8+8FK48xAjL9+P772q3/EvhsuxSu+sAGlMsO+Gy41dDWtbH7kBFkiqDK13O3/wvAMjl9onX7mBlZqf6c20prgzybm38C1jMiSpUaIG+VGw3xu0BFValL9HnhOe773jqXwwlASLz92Ho5b4M4z1BNXMZUu4IWhJIiAExrwKMVUGRFFQt6H7o9+Y24tVWYZ3KTKiUzKvEh4xXHz8aYzlhrvzR3NzOmArYbR+a3BVQZ3sy/rb50I7OtvPwMXHD/flTAvpsrIFUoG407nS/jWA7uq9jkwoTUc+sAFq/HKE/zt9BixCaPwtEdukM0GZWF3rOVCRNFYu/l9+fqAoF3LN/zXn3CbcO/66THhEBcsX7v3eWPcmXwJH/jfTQCCLaJiNrStwAvDSRzv0jhZIapoughe8XAyk3fUx1gK/gqNpfoBXJRp7/b3sx9JZ1SpCS/yuv1/emEUR6aznkJCfYkIZnJFDM9k0RtXG17g8oX7XFP7h8y/Cbhx+3/s19uM1//8q60AtLjYTLaID77meJyzuh+/eUpzo5tvPv+Nf3MtfQf1KnWNViuzwuWnL8Hlpy9xtW9clTBUKKM7rhms7/9pr2V3wXXLe/HxS1tXQMcOEZu86sFxbUzX3vwUXnvKQl9KxtaMpcrt7/735Y4RcwZLMG7/ileGh20ArSR2vglXdaMwp9W1AjPZIk5ohvkLWQiKLCGVKzlWphRz2TkqXhTv19Ku/8JMrui6NXCj6IwqNQRpWV8Czx6Zwadv2w4AuOD4+a6Px0WXe0ZSnov7iOiOKxhN5uac2z/w0RKRTERPEdHtFp+9h4hG9K5+W4jo/cJn7yaiF/R/7w521NZw09Xv/OO0mzGmSkYN/2+840z8+xVrcNbK6jivYkoBO2ago5XDrQE/X8mj2z+ruxF5idqrzrFW9/72mvObGF19xNTqeKaV4Qesc6D9gNElUTDu6XwRzw1VWhSPJfPG4uCXf/0y38aiKt7c/vUQpNsfqO7eJmoPnFhuq2HlMm8FmhEsmoWI6TrdP2NqhflnCyU8fWCy4Tx/QPuNLNX+2SI6I4qvgtDOqFKT6ifOvRedvABrPMTtufHfPZLCPI9lfUXwTqFzze3fDub/IQA7AdjVlfwFY+xacQMR9QP4NID10MKTm4noNsbYhK8jrQNDLe/AnPkkJgux5pX9CfyZhQtanGj+fP1y/M2fHduqoVqCK4S9Mn/eKOewvgrvS0Tw4deeUJXqB8CyKU8rwdX+ZiYtS1Tl6m5mVe8FfDLlzGrr4CT2jVU3bfreQ3uMyfpMm7rjrYBYS8AN8+c9GuwkEVHZ/4nNvEY5c0Uvntw/iUPCoq4voN8S4GlyzRt/c+ri8RYtZt3CnIKoNQBzMv6y0Qzn+tt34OaN+3H56UsQabAUbUSRLJssJXMFX+P9gBbznzEZ/0yhhGV9cXzsDSfjvGPmeToeT48cTeaaEtzyqoBzzfgHyvyJaBmASwHc5PGrFwO4hzE2rhv8ewBc0urxeYVdjFcEryvPU+L+6bUnYNX8akb/jnO1lBSx+9w5q/tt03dahUZj/ua/tyeu4u8vPA47rr/YVzZrRkyVkMmXajwv5vTCZtr0egHPrecx1Tfe+DA+9PMtVfv84OF9+O/7NV2C4mMcPeJV8GfsYn3PBcH8zb8jj+fuGq7kb7eqcqEbtMLtv38sjY/9phL6a0bpDwhu/0IZhVIZ+WIZHQ56kQ6BLT+jq9p3DScRbfA62jH/F8fSGPCxBgSghUtTuWLVYipbKOH4BZ14w9rFnhf5YqGl5tz+2nHmUkc/IHi3/9cAfASA03L6SiJ6mohuISLuT14KYFDY54C+rQpEdDURbSKiTSMjI+aPWw7VRZEcc17qBRaM/xOXngygOlfez0p0HLLQiMYOo8kc1v/7PdghNCIy/72cRSQiSsN5/Y0gEVWQzpdq4tM9cRWXnVbp5HfaMu8pPI0gYmL+7QQvigLYL+7u2TGEV35xAwqlco3a34xgjH/1KE7Rm848fWDS93NbwUos5xV//7Mn8bPHK1PXcU2wfm1MFbc/L02bcHD7i7nxPAd/13CyYUOlWMT8s4USnhqcxDmr+hs6plt0RBWUWXVIKFsoNTxXioWWmgkN8vRGP0uH+4HAjD8RXQZgmDG22WG33wFYxRg7DcC9AH7Ev26xb818xRj7LmNsPWNs/cCAv8puwF2FPzEvtTOqYJ1Vf3qLVXgQNxIR6eU67ce/4dlhjCbzuOlPFQFWvli2DFsAwTKz7piKYpnhmYPVHRJPXdKDb7zjTOP9xacuCmQ8USHm30j/+VbjM5efCsA+z/8Tt27D/vE0RpM5lPTxmj3B8zoi+OKVp/nuhcL/b+/Mo9yqrnz9bQ01eChXeSobl0dsJhsHY4MNBhpMAnRCMyReBHdnIgMrL+lA8jrNwp10Buh0d+h0k04PhDziDp0E0y8EEhadhGYBfhkAgzEG45gQQ2xsbPA81KiStN8f917VlUpSSSXpSqra31q1Srr3Sjp16ujus/fZ57cZPKm8fNE0RAaiZkGTqaY3HA6cSN8CW0wVvWz4w/6eR5/P8/eMv6qmstFjieSwt0w2ZDH+W3YfJRZPFh12LxZv8uJ3knpKkEH316koxfP3/icW9s/NSuAqEdkJ3A+sEpEf+C9Q1UOq6n1b/g+w1H28B/BnlXUAe6ky4ZAgkt/zP9EXT62/Ts6xHzdb+DeoEFIkLHnD/t45fzJWLKFEw6GsYb6gRFgge/LXHasX8/fvOxOAn910Ib/8y0sCMVyQnvDnT1KrFt6wyhX297b1qQ5EKzJ7avakMRWRa81GZgRq+oRm5rslWS9f2M4Tf/FHgbTDI1NNbzj4DdVHzp/Dn6+aX1qb0jx/Tzwqt+fvecu9/ck0mevh7prIVn/h51v3EQkJ58ytrOfvbak77vs7emLD318fDYeYPsHREyllKcb73tdPMV+HwO7UqrpWVTtUdQ5wPfCEqn7Af42ITPc9vQonMRDgUeAyEWkTkTbgMvdYVRERouEQfTmMfzzh1O72BGuKWRMLQv/d+5x8CX/eFz3sa09/wqk7sOHzF/Pily5Luz5I49/SPPimd92ymakEqDNOamHWEPre5cQf9u/OU3d8xbyJbP7rd1W8PSHJn9PhefnKQB7HDze+wStvDURSQgHWJ/fnkjx16ypgwNu7dsmMnLXZK0U5wv7+BLUL5k8uuSiRf83fE4/K6/l73nJff0qXA4b/PY2GQ2n/p/0neln/3G7ee/aMiu/E8NbW/blRvf2JkqKk3jJMpAQHoZBdX7VI1TMUROQ2EbnKfXqTiGwTkReBm4CPAKjqYeB24Dn35zb3WNVpCIfoz1EV72BnDFW49PSpnDZtPB8+f07B75ssw/asQnA8/9yDNqvnH08SDQtjGyNMyFjjD9T4Z6ji3XjRvMA+Oxt+zz+f0Vj/iRWB7EDwIh5DjaVkUvnG/wzs1Ljim79KPQ7S+K85dxanTRvPM2svTYVkb79mERcumMyFCyq/jJfJcEV+vIS0zCz/Yspb526TL+zvTjDz7fMf50pKd/UlOOQreTvc+0s0w/N/cfcxYvEk7z8nv45+OfCy6o/3OH+3qtJTovG/7epFnDdvEuedPPwli+HWSKk2VRH5UdUNwAb38Zd8x9cCa3O8Zh2wLoDmFUW+GuRelakLF0zhtquLK+BSjhtFIURCkqY1n0ki5fkPGIH+RDLn2n4QSnAeLT5PY0JzlL969+mBfXY2GlIKfsm8Us6VlBj2Ex7K83d/H+zMXX+9nOqNQzFtQhO/+OxFaccWnjSB739seWBt8DOcbP+fb93HLQ+8xH2fWMFJrekS1eVI4vWH/T37nU9YZ5xb9+JId4zjvfHU9slX3+7M+Zp8RMPpW/28an5BTGYzPf/+hJJIakn9OnfyWNbfuKKkdqXEvczzH100RLIrXgH86T0bgcKK1Pj5lzVLWNxR2T3yHpFQiESesH824x+LJ3N6+IEaf9++4kc+c0Fgn5sL/9bPcsvCDofQEFs5vUnItf/+VNbz0bBwe5GT1pFEY5aKeEOxZfdRTvTF+d//d0tKB8Mj3378gtuUxfP3CkZlY6x77keb9gClJ79mLhN2BlDNzyNzzd+r21HtRLvTpzlJnKXINlcDk/ctkWg4lHVr17HugXWpWROLW3f+kwLlbctBOCR5C/vEsyb85fb8PYPzwRWzy9jK7PhzKGYW2ceVIOQWg4klsnv+p7aPZ90N5wTWHs/zH26I931nd+QNKY90hhP29yZarx3o5EBGRKUsYX/fmn+yAM/fq3i5/tk3AOde1BgJZd11VAiZkU4vp6GSmv4e3gTjeG+c3+49zid/4Gwcq7as7iWnTeXnN1/IadPM+I8qGjISYDye2+mkJNz70XMLUiW7fGE7j257m39YvbjsbczH0Nn+zt+WGfbPly2842t/HEiGfRA3nGLxxkOm0fjNrauY3tJUUfnTTMJDev6BNaUuGU7Y3/PGkwov7zmWdq6cYf/e/kRqYl6I5+9xxkktvPzVy9MUR4shU9u/s9fZzRREzYWmaJjGSIjjPf3sOdKdOl4L++tL3cJZDWrv7llnZCt0oap86r7NhASWF7j95e4PLqtE84YkEhq8dccj4UsEG5zwl/vLXknlOj9BrZ0XQ8RdE830/Juj4UANPwxEYYbj+a+cP4krFwcXgapFvGx/VS14rHkZ+AAvZogTlcPz94x5VyxB3A2/j8lj/MZlLI3NnlRavZBIWFKfC85WxnGNkcC+iy3NUY739rPfp59QC8a/HjHjXyLOmn/6zbXH1ZtfOrut6utRQxEJZdfqBti+zyee40seS2qwYj71RDTsJFBmev5BVqPzGEj4y34+3/36hx8vLQlqJNAYDac0EAoVxenqc6r2vX6giy270z3/cpR8bYyEaY6GOdodIyRCUzSUd7LtWBaE0QAAFG1JREFUj47NbCt9aawhY5mzsy9ecU1/Py1NEY73xNl/fCCfoimg5OiRhhn/EsmW7e/N/q85q/Y9p3xh/2deP5R6nEwqL+05mkrwCXJLXz5+dcslgwrCVJNoOER/PJnS9/eohvH3pBlyZ/unW/9/c1UR506ubDXJemEgua5w49/ZF6d1TAOzJiqvH0wv6lSuyE/rmChHu/tpiISGLKHr94qz6WIUS6bIj+P5ByfpbZ5/+TDjXyLR8GAhEK+KVjmyeytNrkIdABv/MCClsGnXYf71yR2p59FwbYTcayHRz493c8wcE0EthfgZKuEv0/Mf3xThohyyzaMRb42+N5YYpCmRi66YI+qVSCq4xv8j58/hJ1veLFu7JjRHeXbnYQ51xjh9ev4kM384vhyh+Wg45ET/kkooJHT29QeS6e/R0hTlaHcsbRmy1qOrtUptuG91TOZWv+8/vZM/X78ZGJxsU4tE3C9zNnb6PJdnXk/XVKoVz7/WiIac8ZBvn39QDJXwl4n9T9NpSiXXFZ7x392XYGxjJLUNNRISvnLVQrZkKGGWQtuYBnYd6qazL8631iwp2/sWgrfc96F1z/L28V46++KpwjZB0NIcZd+xXt44PJDwF+T24pFE7bumNU5mwt9f/3Rb6nFzHXj+4VBukaITvXGuW9bBo9ve5phPTxtstp0Lbzz0xZOIwNfft5iTp1QnjJ7a559T2z+daixN1DLeGO/JMZH7zY6D/Nk9G/nlX16SkpHu7IsztiGM55hWQqzLq0Y3eVwD0ycMLcJ05/vfwYzW8kTIPI/71zsOsvxvHwfg5LOCk12+5qyT+O+X9qaF/YOq3THSsG97ieST982nuV0rREK51/w7+5z1vGy611csCqZSXr3hZUN3xxKMiYa5btlMls6ubMGTXKQS/nIs62SGgc3zT6e5wemPXFGcH292hHMe2/526lhXX9z1/B0DXYmlP8/4T5vQNMSVDtcu6eDcMhXdyZboG+SW20tPb+fO959FSOCmVfO5+4NLObXO9tfXCrXvmtY40TwKf+XY11tpouFQqjSon+8/vTOVyesZiSsWTuMX297iumUdBa+BjjYi4RD9SaU7Fs9bbS0IwkV6/kEVk6oXvLB/Ls8/6vbXtr3H+MkLbzJvyli6Yk7Yvynq3BMq4flPaHZ0Q6a1BCe97OHl+rzz9HY62pr53lM7A5Mi97j6rBmcOWMCJ7U2WwSyBAK9O4lIGNgEvKmqV2acuxO4xH06Bpiqqq3uuQSw1T33hqpeRY0QDUtOFbChMnFrgWyVy7r64qnli5amCIe6nBDbRadM4a4PnB14G+uJhrAQTyQdz7/Kk79UYZ9ca/4WLc2Lt4Usl+e/67CTE7Phdwd4cPNAQt+4xjBJdf/3Fehjz/NvHRP8BNzLf+hoa04p2vlD8EERdIXHkUjQ1ulmnDK9g+SQVPVz3mMR+Qzgz2TpUdWzKt+84mnIIvLjUe2bfyE0RsODFAoP+L7M4xojqa10HW3NNSmsU0tE3IS/rr5E1Xd7eF5arsJNmf/JWtnBUSsMlfC386CTdOYvlQtOqN+rhhjPUzdjuHi5GdXY4vbm0R4AZrQ2c4pr/IerFmhUl8DifCLSAbwHuKeAy9cA6yvbovKQr7BPqbW7g8Dv+XfH4vzgmV1c/I0NqfN+AY+OtuDDjPVGJOxsneyOxas++fPWZ/sL0Kc/b94k86YyaM7j+ffEErx1vJcbVs4ZdG5cYyS1p77QnRbF4C1DVGNZ0cszWNwxgSUzW7lj9WK+eOUZgbfDKJ0gF/m+CdwC5L0TichsYC7whO9wk4hsEpFnROSaPK+90b1u04EDB8rS6KFwsrsHf8EvPnVK4HKuw8GvX772wa188Scvp533ZxN7NdaN3DSEQ5zo7eep1w5VXXzES+DzK7LF4knWP/sGyWS6ZO3N71wQePtqHa9gTDbjv/eY4wEv7pjA/KnpkyZ/wl88T9Gs4bJkZhsAFy0IXpPh4xfM5cFPnc/yeZMQEa5bNjOQcr5G+QkkLikiVwL7VfV5Ebl4iMuvBx5QVf83bpaq7hWRecATIrJVVV/LfKGqfgf4DsCyZcsC0X2LZhT2aW9p5JT28Xz7A0uD+PiSaYgMlC194Y10LfK/e++ZLJ3dlnpuyTVDEwkLrx1w1oKf9ikkVgN/iWGPf31yB996/PeMbYygvkTAFfMmBd6+Wqc5z1a/blfFc2xDhEc+cwE/3ryHLzzkTJzHNoZTSz6VCPufd/IkXvrKZVVJuo2EQ5w9q23oC42aJyjPfyVwlYjsBO4HVonID3Jcez0ZIX9V3ev+fh3YQHo+QFVpcEu4ejfSvniSuZPH1o2h9JctzZzBL5hqYeBi8Sv5VSLkWwye5+9flnrbrTHf3RdPhY0f/NT5wTeuDvC+w9nW/HvjA6H3pmg4rZb7/CnjUiI/uYpmlYrttjFKJRDPX1XXAmsBXM//86r6gczrRORUoA142nesDehW1T4RmYwzkbgjiHYXgreuGk8q0bDQ25+oG8MPTtg/lkiy+3D3oDC1Zxz+44ZzUtuajPxEfUs9MydWd5nEG5ve5O5wV4z/2rQb8JQd4V1ntJsnlwMvsS7T8z/SFeMtdxLlfWdmuTLTizsmMLWliVCnkzRb7QmgYeSiqunIInIbsElVH3YPrQHuV03bmHw6cLeIJHEiFX+vqr8NuKk58XtXnb1xevvz17qvNRrddc0L73gytXXHw9uqeMmpUwNvV73iGdxwSHjgk9X1qDPD/v4a6NGwkEgmswo4GQ7iVs3LLNJ00/0vpIpeeRP9aROaWPeRZZw711k+8fTuL19oYlhGbRK48VfVDTihe1T1SxnnvpLl+qeAMwNo2rAYyKhW7nj0FQB2HerO95Kawl+tzNvGkzoXrZ9JTK3ghf1Xn91Be0thCmyVIhQSou6yFKRX8du86wivvt3JKe2mjpaPpmh4kOf/1rHeVJKvP+N+1WntqceNkTAb/+pS2sZYMpxRm9S+Ck2NE/XKfiYSqeSeNefOqmaTisIv6XrCLdd78pSxTBrbWBdbFWuNo93Onu8F7bWRL9HglhiG9PD1vU/vcs7XUZSqGjRHw4Oy/f2KmPl2dFR78mcY+TDjXyINnpBKQjnRG2f+1HGcd3L9ZE5nSvvesHIOX/6ThVVqTf3T5ZZzrpXSuA1uTgc4Og6ZWOJYfhzPPz3hr9P3namn/B7D8GPGv0RSa/7xJPtP9NLeUl/e8oEMaU7/MoBRPF+7ZhG/3Xe8ZsLp/q2o3bHBW9aCLMpSjzRleP6qmtaP1dZyMIzhYjG/EvHW/GOJJLsOdRdUYrOWyNzfbWHg0pg5cUxNJXn5Pf9sBZzs/52fpmgozfj3xZNp2/fqKbnXMPzYyC0Rz/hv33ecQ10xzplTX9um3nVGOz/99MrUc7uZjSwaIgOefzaxGsv1z0/mmr9/AtUQDtWFiqdhZMPu9CXieU7P7zoCwJI63DPtF/cx4z+yaPCF/bv6slenM3LjhP0H1vz9fajYHn6jfrE7fYl4lb9e2nOMSEiYM2lslVtUPP6CPWb8Rxb+sH9PloQ/M1/5aY6G6fL1mz/Zz/R7jHrG7vQl4u3zfeWt48yaOKYu11BFhPcsng7YGvBIoykyELbuiydTxWo8zprZWo1m1Q1tY6Mc8ZXs9e+YSKpZf6N+sTt9iQxU/krWdXUrT+ktYjK+I4qW5ijHexyD1RdPplT/AL561cKa2ZJYq0we18iR7n76E0nePNrD7f+9PXXObL9Rz9idvkSafFvjWprrd8902DX+CbujjShax0Q51tMPOMa/0bc1bdGMlmo1q27whK4Od8VY++BWXtx9dIhXGEZ9YMa/RPwiH14lr3rE8/ytEMnIorU5yhFXdbAvnkjz/KeONwW6oZgy3jH+B070pZQSDWMkEKjxF5GdIrJVRLaIyKYs50VEviUiO0TkJRE523fuwyLye/fnw0G2Ox/+NdR6Xi+P+KoTGiOH1jFRumMJ+uIJYvEkjdEQS2c7O1I8w2bkxvP8D3T2pYr1GMZIoBqj+RJVPZjj3B8DC9yf5cBdwHIRmQh8GViGk6D8vIg8rKpHgmhwPvye/8HOWJ4ra5uU558w72YkMcEtLHOspz+15n/fJ5az+3CPSdMWwBTX+B880WcJfsaIotZc1auB/1SHZ4BWEZkOXA48pqqHXYP/GHBFNRvq4d8a15lFQa1e+OCK2bQ0RbishtTpjNJpdfNQjnX3u55/mMZImPlTa6PwUK0zebwzeTrYGeNQV/1O7g0jk6CNvwL/IyLPi8iNWc7PAHb7nu9xj+U6XnVEBhS+/vbaRVVsSWksaB/PS1+5nJNa60ue2MhP6xjH+B/p7qcvnqAxXGvz/dpmTEOEsQ1hDnb2cdiMvzGCCDrsv1JV94rIVOAxEXlFVX/pO59NK1PzHE/DnVB4k4pOEfldyS1OZzKQa8mCBV8v86eNTPL2oVEQRffhct/YlP9V5tbULwX345dyHBf7ztv3uXTK3YezC7koUOOvqnvd3/tF5CHgXMBv/PcAM33PO4C97vGLM45vyPL+3wG+U9ZG+xCRTaq6rFLvPxqwPiwd68PyYP1YOtaHpVOtPgwsBigiY0VkvPcYuAx4OeOyh4EPuVn/K4BjqroPeBS4TETaRKTNfe2jQbXdMAzDMEYSQXr+7cBD7hp5BLhPVX8hIp8EUNVvAz8D3g3sALqBG9xzh0XkduA5971uU9XDAbbdMAzDMEYMgRl/VX0deEeW49/2PVbg0zlevw5YV7EGFkbFlhRGEdaHpWN9WB6sH0vH+rB0qtKHorZ31TAMwzBGFbbvxzAMwzBGGWb8C0BErhCR37myw7dWuz21iojMFJEnRWS7iGwTkZvd4xNF5DFXmvkxN2kzr5zzaEdEwiLygog84j6fKyIb3T78LxFpcI83us93uOfnVLPdtYSItIrIAyLyijsmz7OxWBwi8jn3u/yyiKwXkSYbi0MjIutEZL+IvOw7VvTYq6SsvRn/IRCRMPBvONLDZwBrROSM6raqZokDf6GqpwMrgE+7fXUr8LiqLgAed59DupzzjThyzobDzcB23/OvA3e6fXgE+Jh7/GPAEVWdD9zpXmc4/DPwC1U9DSffaDs2FgtGRGYANwHLVHUREAaux8ZiIXyPwSq0RY09n6z9cpxt8V/2JgzlwIz/0JwL7FDV11U1BtyPI0NsZKCq+1R1s/v4BM7NdgZOf93rXnYvcI37OJec86hGRDqA9wD3uM8FWAU84F6S2Yde3z4AXCp+2clRioi0ABcB3wVQ1ZiqHsXGYrFEgGYRiQBjgH3YWBwSV7wuc0dasWOvorL2ZvyHpmalhWsZN+S3BNgItLt6Dbi/p7qXWd9m55vALYBXZWkScFRVveIR/n5K9aF7/ph7/WhnHnAA+A93+eQeV1/ExmKBqOqbwDeAN3CM/jHgeWwsDpdix15Fx6QZ/6EpSFrYGEBExgE/Bj6rqsfzXZrl2KjuWxG5Etivqs/7D2e5VAs4N5qJAGcDd6nqEqCLgTBrNqwfM3BDzFcDc4GTgLE4IepMbCyWRkmy9sPFjP/Q5JIcNrIgIlEcw/9DVX3QPfy2F0J1f+93j1vfDmYlcJWI7MRZYlqFEwlodUOvkN5PqT50z09gcLhxNLIH2KOqG93nD+BMBmwsFs47gT+o6gFV7QceBM7HxuJwKXbsVXRMmvEfmueABW6GawNOwsvDVW5TTeKu730X2K6q/+Q79TDgZap+GPip73g2OedRi6quVdUOVZ2DM9aeUNU/A54EVruXZfah17er3etHvbelqm8Bu0XkVPfQpcBvsbFYDG8AK0RkjPvd9vrQxuLwKHbsVVbWXlXtZ4gfHMnhV4HXgC9Uuz21+gNcgBOWegnY4v68G2fd73Hg9+7vie71grOT4jVgK05WcdX/jlr5wSlm9Yj7eB7wLI709Y+ARvd4k/t8h3t+XrXbXSs/wFnAJnc8/gRos7FYdB9+FXgFpw7L94FGG4sF9dt6nDyJfhwP/mPDGXvAR93+3AHcUM42msKfYRiGYYwyLOxvGIZhGKMMM/6GYRiGMcow428YhmEYowwz/oZhGIYxyjDjbxiGYRijDDP+hmEgIteKiIrIaWV+38+KyIfcxxtEZFkRr71fRBaUsz2GYTiY8TcMA2AN8GscYaGy4Kq8fRS4b5hvcRdOjQPDMMqMGX/DGOW4tRhW4giRXO87HhKRf3fruT8iIj8TkdXuuaUi8v9E5HkReTRHBbxVwGYdKALjf997ReRv3Od3icgm93O+6rv0V8A7fVKyhmGUCTP+hmFcg1P3/lXgsIic7R5/LzAHOBP4OHAepOo3/AuwWlWXAuuAr2V535U4VeD8RIAfAq+q6hfdY19Q1WXAYuCPRGQxgKomcZTN3lGOP9IwjAHM+BuGsQaniBDu7zXu4wuAH6lqUh2t/Cfd46cCi4DHRGQL8EWcoiOZTMcpq+vnbuBlVfVPFq4Tkc3AC8BC4Azfuf04FeUMwygjFk4zjFGMiEzCCc8vEhEFwoCKyC1kLymKe3ybqp43xNv34Oi9+3kKuERE/lFVe0VkLvB54BxVPSIi38t4TZP7PoZhlBHz/A1jdLMa+E9Vna2qc1R1JvAHHK//18D73DX6dpxCQwC/A6aISGoZQEQWZnnv7cD8jGPfBX4G/Mhdy28BuoBj7mdk1os/BdhW6h9pGEY6ZvwNY3SzBngo49iPgT91f+/Bqeh2N7ARp9xoDGfS8HUReRGneuP5Wd7758BFmQfVKfe8GadK3FaccP82nNyB33jXuZOBHrXSuoZRdqyqn2EYORGRcara6S4PPAusdNf/C339Q8Atqvr7YXz254DjqvrdYl9rGEZ+bM3fMIx8PCIirUADcHsxht/lVpzEv6KNP3AUJzpgGEaZMc/fMAzDMEYZtuZvGIZhGKMMM/6GYRiGMcow428YhmEYowwz/oZhGIYxyjDjbxiGYRijDDP+hmEYhjHK+P/z8QvizzD3SwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig=plt.figure(3,(8,3))\n", "d18O_1Ma=d18O[d18O['Age (ka)']<1000] # filter data for last 1Ma\n", "plt.plot(d18O_1Ma['Age (ka)'],d18O_1Ma['d18O'])\n", "plt.xlabel('Age (ka)')\n", "plt.ylabel('$\\delta ^{18}$O')\n", "plt.ylim(5,3);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Both insolation and $\\delta ^{18}$O have a lot of wiggles over the last million years, but are they the SAME wiggles? One way to look at this is using _time series analysis_. There are entire courses devoted to this subject and a complete treatment is WAY beyond the scope of this class, but we can begin to answer the basic question posed by the isotope/insolation story. The big question is: Do the two data sets have wiggles with the same frequencies? \n", "\n", "The analysis boils down to this: \n", "\n", "- According to Fourier, any periodic function $f(t)$ can be represented as the sum of a series of sines and cosines: \n", "\n", "$$f(t)=a_0+ \\sum_{r=1}^\\infty \\bigr[a_r \\cos \\bigr( { {2\\pi r}\\over{T}} t\\bigr) + b_r \\sin \\bigr( { {2\\pi r}\\over{T}} t\\bigl) \\bigl] $$\n", "\n", "- You can represent data as a series in time (in the time-domain) as we have been doing OR you can represent the data in terms of frequency, looking for the _power_ in the data as a function of frequency. This is known as the _power spectrum_. \n", "\n", "\n", "Let's do a zero order analysis that produces a _periodogram_, which is a plot of power versus frequency. We will do this with the minimum of massaging.\n", "\n", "\n", "Let us take advantage of a **signal.periodogram** function in the **scipy** package. That module has functions that allow us to calculate the _power spectral density_ for a time series. \n", "\n", "Also, we know that eccentricity is supposed to have a dominant period at 100 kyr, obliquity at 41 kyr and precession at 23 and 19 kyr. Remember that these numbers are expressed in terms of the period, which is the inverse of the frequency. \n", "\n", "We can see how our minimalist treatment works. \n", "\n", "Let's start with precession:\n", "\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function periodogram in module scipy.signal.spectral:\n", "\n", "periodogram(x, fs=1.0, window='boxcar', nfft=None, detrend='constant', return_onesided=True, scaling='density', axis=-1)\n", " Estimate power spectral density using a periodogram.\n", " \n", " Parameters\n", " ----------\n", " x : array_like\n", " Time series of measurement values\n", " fs : float, optional\n", " Sampling frequency of the `x` time series. Defaults to 1.0.\n", " window : str or tuple or array_like, optional\n", " Desired window to use. If `window` is a string or tuple, it is\n", " passed to `get_window` to generate the window values, which are\n", " DFT-even by default. See `get_window` for a list of windows and\n", " required parameters. If `window` is array_like it will be used\n", " directly as the window and its length must be nperseg. Defaults\n", " to 'boxcar'.\n", " nfft : int, optional\n", " Length of the FFT used. If `None` the length of `x` will be\n", " used.\n", " detrend : str or function or `False`, optional\n", " Specifies how to detrend each segment. If `detrend` is a\n", " string, it is passed as the `type` argument to the `detrend`\n", " function. If it is a function, it takes a segment and returns a\n", " detrended segment. If `detrend` is `False`, no detrending is\n", " done. Defaults to 'constant'.\n", " return_onesided : bool, optional\n", " If `True`, return a one-sided spectrum for real data. If\n", " `False` return a two-sided spectrum. Note that for complex\n", " data, a two-sided spectrum is always returned.\n", " scaling : { 'density', 'spectrum' }, optional\n", " Selects between computing the power spectral density ('density')\n", " where `Pxx` has units of V**2/Hz and computing the power\n", " spectrum ('spectrum') where `Pxx` has units of V**2, if `x`\n", " is measured in V and `fs` is measured in Hz. Defaults to\n", " 'density'\n", " axis : int, optional\n", " Axis along which the periodogram is computed; the default is\n", " over the last axis (i.e. ``axis=-1``).\n", " \n", " Returns\n", " -------\n", " f : ndarray\n", " Array of sample frequencies.\n", " Pxx : ndarray\n", " Power spectral density or power spectrum of `x`.\n", " \n", " Notes\n", " -----\n", " .. versionadded:: 0.12.0\n", " \n", " See Also\n", " --------\n", " welch: Estimate power spectral density using Welch's method\n", " lombscargle: Lomb-Scargle periodogram for unevenly sampled data\n", " \n", " Examples\n", " --------\n", " >>> from scipy import signal\n", " >>> import matplotlib.pyplot as plt\n", " >>> np.random.seed(1234)\n", " \n", " Generate a test signal, a 2 Vrms sine wave at 1234 Hz, corrupted by\n", " 0.001 V**2/Hz of white noise sampled at 10 kHz.\n", " \n", " >>> fs = 10e3\n", " >>> N = 1e5\n", " >>> amp = 2*np.sqrt(2)\n", " >>> freq = 1234.0\n", " >>> noise_power = 0.001 * fs / 2\n", " >>> time = np.arange(N) / fs\n", " >>> x = amp*np.sin(2*np.pi*freq*time)\n", " >>> x += np.random.normal(scale=np.sqrt(noise_power), size=time.shape)\n", " \n", " Compute and plot the power spectral density.\n", " \n", " >>> f, Pxx_den = signal.periodogram(x, fs)\n", " >>> plt.semilogy(f, Pxx_den)\n", " >>> plt.ylim([1e-7, 1e2])\n", " >>> plt.xlabel('frequency [Hz]')\n", " >>> plt.ylabel('PSD [V**2/Hz]')\n", " >>> plt.show()\n", " \n", " If we average the last half of the spectral density, to exclude the\n", " peak, we can recover the noise power on the signal.\n", " \n", " >>> np.mean(Pxx_den[25000:])\n", " 0.00099728892368242854\n", " \n", " Now compute and plot the power spectrum.\n", " \n", " >>> f, Pxx_spec = signal.periodogram(x, fs, 'flattop', scaling='spectrum')\n", " >>> plt.figure()\n", " >>> plt.semilogy(f, np.sqrt(Pxx_spec))\n", " >>> plt.ylim([1e-4, 1e1])\n", " >>> plt.xlabel('frequency [Hz]')\n", " >>> plt.ylabel('Linear spectrum [V RMS]')\n", " >>> plt.show()\n", " \n", " The peak height in the power spectrum is an estimate of the RMS\n", " amplitude.\n", " \n", " >>> np.sqrt(Pxx_spec.max())\n", " 2.0077340678640727\n", "\n" ] } ], "source": [ "# first we import the necessary function:\n", "from scipy import signal \n", "\n", "help(signal.periodogram)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can call the function, which returns frequencies and power. \n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# make an array out of the desired data series\n", "prec=np.array(cycles_1Ma['Precession'])\n", "\n", "# and calculate the frequencies \n", "prec_freqs,prec_power=signal.periodogram(prec)\n", "# plot on a linear x, log y plot (using semilogy( ))\n", "plt.semilogy(prec_freqs,prec_power)\n", "plt.ylim(.01,1000) # truncate the Y axis\n", "plt.xlim(.001,.06) # truncate the X axis\n", "# put on the precessional frequencies\n", "plt.axvline(x=1./23.,color='red') # use a vertical line\n", "plt.axvline(x=1./19.,color='black')\n", "plt.xlabel('Frequency') # label the axes\n", "plt.ylabel('Power')\n", "plt.text(1./23.,1000,'23 kyr',ha='center',va='bottom')\n", "plt.text(1./19.,1000,'19 kyr',ha='center',va='bottom');\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is a little rough but you can clearly see the two peaks near 23 and 19 kyr. We could smooth out the diagram by exploring _windowing_ options, but for now, let us just plow on, looking at obliquity next. \n", "\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# make an array out of the desired data series\n", "obl=np.array(cycles_1Ma['Obliquity'])\n", "\n", "# and calculate the frequencies \n", "obl_freqs,obl_power=signal.periodogram(obl)\n", "\n", "plt.semilogy(obl_freqs,obl_power)\n", "plt.ylim(.00001,.1)\n", "plt.xlim(.001,.06)\n", "# put on the obliquity frequencies\n", "plt.axvline(x=1./41.,color='red') \n", "plt.xlabel('Frequency')\n", "plt.ylabel('Power')\n", "plt.text(1./41.,.1,'41 kyr',ha='center',va='bottom');\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note the strong obliquity (41 kyr) signal." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Are there orbital frequencies in the isotopic data? \n", "\n", "At last we can look at our isotope time series and see if the same frequencies are there. If so, that would support Milankovitch's famous hypothesis regarding orbits and ice ages. \n", "\n", "We will also throw in an example of a _window_ in the periodogram calculation. What a _window_ does is multiply the time series by a function (called a taper) that weights information, suppressing data at the edges of the window and focussing on the center of the window. The simplest window is a _box car_ which gives equal weight to everything inside the window. In the following, we will use a _Blackman window_ which looks more like a bell curve. \n", "\n", "You can find out more about windowing (a.k.a. tapering) from this website: \n", "\n", "https://en.wikipedia.org/wiki/Window_function\n", "\n", "Let's take a look at the LR04 data set. \n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(4,(6,5))\n", "iso=d18O_1Ma['d18O'] # pick out the data series\n", "# set the window with the keyword 'window'\n", "iso_freqs,iso_power=signal.periodogram(iso,window='blackman')\n", "plt.semilogy(iso_freqs,iso_power,label='LR04 stack',linewidth=2)\n", "plt.ylim(.01,100) # put bounds on the axes\n", "plt.xlim(.001,.06)\n", "plt.axvline(x=1./100.,color='red',label='Eccentricity',linewidth=3) \n", "plt.axvline(x=1./41.,color='orange',label='Obliquity',linewidth=3) \n", "plt.axvline(x=1./23.,color='green',label='Precession (23 kyr)',linewidth=3) \n", "plt.axvline(x=1./19.,color='blue',label='Precession (19 kyr)',linewidth=3)\n", "plt.axvline(x=1./29.,color='black',label='Mystery (29 kyr)',linewidth=3,linestyle='dotted')\n", "plt.legend(bbox_to_anchor=(1.05, 1), loc=2) # notice this\n", "# way of putting the legend to the right of the plot\n", "\n", "\n", "plt.xlabel('Frequency')\n", "plt.ylabel('Power'); " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And... of course there is lots of power in the Milankovitch periods. But there is an extra 'hump' at 29 kyr which Lisecki and Raymo say is, \"commonly observed and is thought to be a nonlinear climate response\", citing a paper by Huybers and Wunsch (2004). Hmmm. Room for more research. \n", "\n", "Of course there are still many questions on this subject, like \"How do the orbital parameters control the ice volume?\" and, \"Why aren't we heading into an ice age now?\" as Milankovitch theory would predict. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### For more on time series analysis in Earth Science:\n", "What is covered in this lecture is just a conceptual start. There are no uncertainty estimates, for example. To get realistic uncertainties, it is necessary to subsample the data with different windows that use independent subsets, a technique known as the _multi-taper spectral estimation_. One excellent reference for that is: \n", "\n", "Prieto, G. A., R. L. Parker, F. L. Vernon. (2009),\n", "A Fortran 90 library for multitaper spectrum analysis,\n", "Computers and Geosciences, 35, pp. 1701-1710.\n", "doi:10.1016/j.cageo.2008.06.007 \n", "\n", "There is obviously much more to learn about time series that is beyond what we can do here (mostly having to do how you massage the data). If you are curious, there are some very nice Python wrappers for beautiful code for doing cool state-of-the-art time series analysis (see, e.g., http://krischer.github.io/mtspec/ for how to install the code and examples of how to use it. Let me know if you want help doing this, for example for a final project.) It works very well on Linux and MacOS systems and gives you time series power spectra with error bars! \n", "\n", "\n", "But first, you have to install some stuff (if it isn't already installed):\n", "\n", "on the command line on a Mac: \n", "\n", "- pip install mtspec\n", "\n", "- brew install gcc\n", "\n", "for help, see http://krischer.github.io/mtspec/\n", "\n", "\n", "Here is an example of how it works: " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then you read in the data and analyze it: " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mtspec import mtspec\n", "from mtspec.util import _load_mtdata\n", "plt.style.use(\"ggplot\")\n", "\n", "\n", "data = _load_mtdata('v22_174_series.dat.gz')\n", "\n", "# Calculate the spectral estimation.\n", "spec, freq, jackknife, _, _ = mtspec(\n", " data=data, delta=4930.0, time_bandwidth=3.5,\n", " number_of_tapers=5, nfft=312, statistics=True)\n", "\n", "fig = plt.figure()\n", "ax1 = fig.add_subplot(2, 1, 1)\n", "# Plot in thousands of years.\n", "ax1.plot(np.arange(len(data)) * 4.930, data, color='black')\n", "ax1.set_xlim(0, 800)\n", "ax1.set_ylim(-1.0, 1.0)\n", "ax1.set_xlabel(\"Time [1000 years]\")\n", "ax1.set_ylabel(\"Change in $\\delta^{18}O$\")\n", "\n", "ax2 = fig.add_subplot(2, 1, 2)\n", "ax2.set_yscale('log')\n", "# Convert frequency to Ma.\n", "freq *= 1E6\n", "ax2.plot(freq, spec, color='black')\n", "ax2.fill_between(freq, jackknife[:, 0], jackknife[:, 1],\n", " color=\"red\", alpha=0.3)\n", "ax2.set_xlim(freq[0], freq[-1])\n", "ax2.set_ylim(0.1E1, 1E5)\n", "ax2.set_xlabel(\"Frequency [c Ma$^{-1}]$\")\n", "ax2.set_ylabel(\"PSD ($\\delta^{18}O/ca^{-1}$)\");\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cool, no?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Until now, we have been looking at only the last million years of the LR04 five million year series. That is because our approach to time series requires that the series be stable (not change through time). If we look at the whole series, you can see that that assumption is not true and the spectral character changes over time: \n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d18O=pd.read_csv('Datasets/IceAges/LR04stack.csv')\n", "fig=plt.figure(3,(10,4))\n", "plt.plot(d18O['Age (ka)'],d18O['d18O'],'b-')\n", "plt.xlabel('Age (ka)')\n", "plt.ylabel('$\\delta ^{18}$O')\n", "plt.ylim(5.5,2.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before about 2700 ka, the variation is small and since 1000 ka, the variation is much greater and dominated by the 100 kyr (eccentricity) cycle as we learned above. \n", "\n", "So, how do we deal with changing spectral character? To handle this exact prblem, there is a different way of looking at time series that is quite popular now - wavelets. There is a nice reference that uses wavelets on the LR04 dataset (Mukhin et al., 2019, available at: https://www.nature.com/articles/s41598-019-43867-3). \n", "But wavelets, while pretty, are a confusing and the theory is challenging (see this tutorial):\n", " https://towardsdatascience.com/what-is-wavelet-and-how-we-use-it-for-data-science-d19427699cef\n", "\n", "Nonetheless it is a powerful way of looking at time series that change through time (like LR04). \n", "\n", "Here is what we have to do:\n", "\n", "1) detrend the data to remove the linear trend in the data. We can do that with the **scipy.signal.detrend( )** funtion. \n", "2) apply the wavelet transform which is a window that moves through the time series. Here the devil is in the details and there are many windows possible (e.g., Morlet, Ricker - aka 'Mexican Hat', and so on). The Mukhin et al. analysis used the Morlet window and that seems to be the most common window. It is also the default in the Aaron O'Leary \"Wavelets\" Python module (described here: doi:10.21105/joss.01237). This package can be installed with the command: pip install git+https://github.com/aaren/wavelets \n", "3) Plot the data. Here we are already equipped because we are familiar with **matplotlib**'s **contourf( )** function! \n", "\n", "So here goes. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# iport the required packages\n", "import scipy.signal as signal\n", "from wavelets import WaveletAnalysis\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'Age (kyr)')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# read in the data again:\n", "d18O=pd.read_csv('Datasets/IceAges/LR04stack.csv')\n", "# detrend the data\n", "d18O_detrend=signal.detrend(d18O['d18O'].values)\n", "\n", "# delta t is the spacing of the data, which here are 1 kyr, so set dt to 1\n", "dt = 1\n", "\n", "# perform the data analysis with WaveletAnalysis\n", "\n", "wa = WaveletAnalysis(d18O_detrend, dt=dt)\n", "\n", "# wavelet power spectrum\n", "power = wa.wavelet_power\n", "\n", "# scales \n", "scales = wa.scales\n", "\n", "# associated time vector\n", "t = wa.time\n", "\n", "# reconstruction of the original data\n", "rx = wa.reconstruction()\n", "\n", "# plot the data\n", "\n", "fig, ax = plt.subplots(figsize=(10,5))\n", "T, S = np.meshgrid(t, scales)\n", "m=ax.contourf(T, S, power, 100,cmap='coolwarm')\n", "cbar=plt.colorbar(m,orientation='vertical') \n", "# put on a color bar of intensities\n", "plt.axhline(y=100.,color='red',label='Eccentricity') \n", "plt.axhline(y=41.,color='orange',label='Obliquity') \n", "plt.axhline(y=20.,color='green',label='Precession (23 kyr)') \n", "\n", "\n", "ax.set_yscale('log')\n", "ax.set_ylim(10,250)\n", "ax.set_ylabel ('Frequency (kyr)')\n", "ax.set_xlabel ('Age (kyr)')\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So what do we see? I put on the 100 kyr (red), 40 kyr (orange) and 20 kyr (green) horizontal lines to show you the eccentricity, obliquity and precessional frequencies. Age is along the x axis. You can see immediately that there is a big fat band of red (high power) at about 100 kyr, but only for the last ~600 kyr. In that same interval, you can also see a strong 40 kyr and perhaps weaker 20 kyr signal. Before that time to about 1000 kyr, the 100 kyr signal is not really there, but the 40 and 20 kyr frequencies are strong. But prior to that until about 1250 kyr, there is an interval with strong 20 kyr but weak 40 kyr. in the earlier times (back to about 1600 kyr) the 40 kyr signal is stronger. So, clearly the climate changes a LOT throughout the Pleistocene and the causes are of course the subject of much debate. " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 1 }