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@rabernat
Last active November 21, 2016 16:40
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import xarray as xr\n",
"from matplotlib import pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 110,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.QuadMesh at 0x119fcf6d0>"
]
},
"execution_count": 110,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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XrTUWXvarvIXXdWIy21Z0ct/qdvLNk5QJ4/711BqM4gtzs8nDP7GNXHNeglXoIVoltQp3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\nUCgUaYj/BTJ0DDPvxywOAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119e92e90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# make some test data\n",
"Nx = 128\n",
"Nt = 50\n",
"rand = xr.DataArray(np.random.rand(Nt,Nx), dims=['time', 'x'])\n",
"# add linear trends\n",
"slopes = 0.02*xr.DataArray(np.cos(2*np.pi*rand.x/Nx), dims=['x'])\n",
"da = rand + slopes*rand.time\n",
"da.plot()"
]
},
{
"cell_type": "code",
"execution_count": 112,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def estimate_linear_trend(data, dim='time'):\n",
" x = data[dim]\n",
" y = data\n",
" def wrap_polyfit(x, y, deg):\n",
" # apply makes the core dimension the LAST axis\n",
" # polyfit works on the FIRST axis\n",
" # so need to transpose\n",
" xswp, yswp = [np.swapaxes(v, 0, -1) for v in x, y]\n",
" p = np.polyfit(xswp.squeeze(), yswp, deg)\n",
" return np.swapaxes(p[0], 0, -1)\n",
" return xr.apply(wrap_polyfit, x, y, 1,\n",
" signature=([(dim,),(dim,),()], [()]))\n",
"trend = estimate_linear_trend(da, dim='time')"
]
},
{
"cell_type": "code",
"execution_count": 116,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x11a738890>]"
]
},
"execution_count": 116,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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g8fyT8o/Zew6XHm7XIH2DYX7DCHQLPHbFbkKSygnydfbF2sradNgOgLU1XP7v33F1tsYq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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a415b50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"slopes.plot()\n",
"trend.plot()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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