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@whophil
Last active January 15, 2021 03:38
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Computing derivatives of daylight hours
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Daylight Derivatives"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The summer and winter solstices are the best and worst days of the year respectively. Mathematically, these represent the zeros of $h^\\prime$, where $h$ is the amount of daylight on a given day of the year.\n",
"\n",
"But the zeros of $h''$ are also days to take note of - they are the days on which the amount of daylight is changing the most - for better or worse.\n",
"\n",
"How many more of these days should we take note of, and when are they?"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import astral\n",
"from astral import LocationInfo\n",
"\n",
"import datetime\n",
"from astral.sun import sun\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import findiff\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Day length depends on where you live. I live in Denver."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"loc = LocationInfo(latitude=39.742043, longitude=-104.991531)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Compute the sunrise/sunset for each date using [astral](https://astral.readthedocs.io/en/latest/index.html)."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"dates = []\n",
"lengths = []\n",
"\n",
"day_numbers = list(range(365))\n",
"\n",
"for day_number in day_numbers:\n",
" eval_date = datetime.date(2021, 1, 1) + datetime.timedelta(days=day_number)\n",
" s = sun(loc.observer, date=eval_date)\n",
" day_length = s['sunset'] - s['sunrise']\n",
" dates.append(eval_date)\n",
" lengths.append(day_length.total_seconds())\n",
" \n",
"lengths = np.array(lengths)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Take derivatives using [findiff](https://github.com/maroba/findiff)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# number of derivatives to compute\n",
"N = 4\n",
"dn_length = []\n",
"for n in range(1, N + 1):\n",
" dn = findiff.FinDiff(0, 1, n)\n",
" dn_length.append(dn(lengths))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And plot. All the zero crossings are the days to celebrate!"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 576x864 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8,12))\n",
"\n",
"ax0 = plt.subplot(N + 1, 1, 1)\n",
"plt.plot(lengths)\n",
"ax0.set_title('day length')\n",
"ax0.set_ylabel('day length [s]')\n",
"ax0.set_xlim([0, 365])\n",
"ax0.set_xticks(np.linspace(0, 365, 13)[:-1])\n",
"ax0.set_xticklabels([datetime.date(2021, m, 1).strftime(\"%b\") for m in range(1, 13)])\n",
"ax0.grid(True, axis='x')\n",
"\n",
"def _pcolor(ax):\n",
" ax.pcolorfast(ax.get_xlim(), ax.get_ylim(),\n",
" lengths[np.newaxis], cmap=plt.get_cmap('bone'), alpha=0.3)\n",
"\n",
"_pcolor(ax0)\n",
"for i, dn in enumerate(dn_length):\n",
" ax = plt.subplot(N + 1, 1, i + 2, sharex=ax0)\n",
" plt.plot(dn)\n",
" ax.set_ylabel('day length' + \"'\" * (i + 1))\n",
" ax.axhline(0, color='k')\n",
" ax.grid(True, axis='x')\n",
" _pcolor(ax)\n",
"\n",
"_ = ax.set_xlabel('day of year')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python (astral)",
"language": "python",
"name": "biodiv"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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