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@aaronspring
Last active March 6, 2020 10:16
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bias reduction in climpred climpred.readthedocs.io/
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{
"cells": [
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'2.0.0.post13'"
]
},
"execution_count": 75,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import xarray as xr\n",
"\n",
"from climpred.prediction import compute_hindcast\n",
"from climpred.tutorial import load_dataset\n",
"from climpred.utils import shift_cftime_index\n",
"import matplotlib as mpl\n",
"import climpred\n",
"climpred.__version__"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {},
"outputs": [],
"source": [
"import logging\n",
"import sys"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"logging.basicConfig(stream=sys.stdout, level=logging.INFO)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Get inputs"
]
},
{
"cell_type": "code",
"execution_count": 223,
"metadata": {},
"outputs": [],
"source": [
"hind = load_dataset('CESM-DP-SST').load()['SST']\n",
"hind['init']=hind.init.astype('int')\n",
"hist = load_dataset('CESM-LE').load()['SST']\n",
"hist = hist - hist.sel(time=slice(1960,1990)).mean('time')"
]
},
{
"cell_type": "code",
"execution_count": 224,
"metadata": {},
"outputs": [],
"source": [
"# choose obs to compare against\n",
"obs = load_dataset('ERSST').load()['SST']\n",
"obs = obs-obs.mean('time')\n",
"#obs = load_dataset('FOSI-SST').load()['SST']\n",
"#obs = obs - obs.sel(time=slice(1960,1990)).mean('time')"
]
},
{
"cell_type": "code",
"execution_count": 225,
"metadata": {},
"outputs": [],
"source": [
"def set_cftime_to_int_dim(ds,dim,freq='YS'):\n",
" ds[dim] = xr.cftime_range(\n",
" start=str(ds[dim].min().values),\n",
" freq=freq,\n",
" periods=ds[dim].size,\n",
" )\n",
" return ds"
]
},
{
"cell_type": "code",
"execution_count": 226,
"metadata": {},
"outputs": [],
"source": [
"hind = set_cftime_to_int_dim(hind,'init')\n",
"hind['lead'].attrs['units']='years'\n",
"hist = set_cftime_to_int_dim(hist,'time')\n",
"obs = set_cftime_to_int_dim(obs,'time')"
]
},
{
"cell_type": "code",
"execution_count": 227,
"metadata": {},
"outputs": [],
"source": [
"def plot_lead_timeseries(hind, obs,cmap='jet'):\n",
" cmap = mpl.cm.get_cmap(cmap, hind.lead.size)\n",
" _, ax = plt.subplots(figsize=(10, 4))\n",
" obs.plot(ax=ax, color='k', lw=3, label='obs')\n",
" for i,lead in enumerate(hind.lead.values):\n",
" h = hind.sel(lead=lead).rename({'init': 'time'}).mean('member')\n",
" h['time'] = shift_cftime_index(h.time, 'time', int(lead), 'YS')\n",
" h.plot(ax=ax,color=cmap(i),label=f'lead={lead}')\n",
" ax.legend()\n",
" return ax"
]
},
{
"cell_type": "code",
"execution_count": 228,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x125b3e400>"
]
},
"execution_count": 228,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_lead_timeseries(hind,obs)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### detrending with polynomial fit"
]
},
{
"cell_type": "code",
"execution_count": 229,
"metadata": {},
"outputs": [],
"source": [
"from climpred.stats import rm_poly\n",
"order=2\n",
"detrend=False\n",
"\n",
"if detrend:\n",
" hind = rm_poly(hind,order=order,dim='init')\n",
" hind.lead.attrs['units']='years'\n",
" hist = rm_poly(hist,order=order)\n",
" obs = rm_poly(obs,order=order)\n",
"\n",
" plot_lead_timeseries(hind,obs)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## calculate lead-time-dependent unconditional bias"
]
},
{
"cell_type": "code",
"execution_count": 230,
"metadata": {},
"outputs": [],
"source": [
"# build bias_metric by hand\n",
"from climpred.metrics import Metric\n",
"def bias_func(a,b,**kwargs):\n",
" return a-b\n",
"bias_metric = Metric('bias', bias_func, True, False,1)"
]
},
{
"cell_type": "code",
"execution_count": 231,
"metadata": {},
"outputs": [],
"source": [
"alignment='same_verif'\n",
"bias = compute_hindcast(hind, obs, metric=bias_metric,\n",
" comparison='e2r',alignment=alignment)"
]
},
{
"cell_type": "code",
"execution_count": 232,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Coordinates:\n",
" * init (init) object 1965-01-01 00:00:00 ... 2015-01-01 00:00:00\n",
" * lead (lead) int32 1 2 3 4 5 6 7 8 9 10"
]
},
"execution_count": 232,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# equals using the pre-defined (unconditional) bias metric applied to over dimension member\n",
"bias = compute_hindcast(hind, obs, metric='unconditional_bias',\n",
" comparison='m2r',dim='member', alignment=alignment)\n",
"# bias is lead-time dependent\n",
"bias.coords"
]
},
{
"cell_type": "code",
"execution_count": 233,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.QuadMesh at 0x1266e27b8>"
]
},
"execution_count": 233,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"bias.plot()"
]
},
{
"cell_type": "code",
"execution_count": 234,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x126798b70>]"
]
},
"execution_count": 234,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"bias_averaged_over_all_inits = bias.mean('init')\n",
"bias_averaged_over_all_inits.plot()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Cold bias"
]
},
{
"cell_type": "code",
"execution_count": 235,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'hindcast lead timeseries reduced for unconditional bias')"
]
},
"execution_count": 235,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_lead_timeseries(hind,obs)\n",
"plt.title('hindcast lead timeseries reduced for unconditional bias')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### conditional bias\n",
"https://www-miklip.dkrz.de/about/murcss/"
]
},
{
"cell_type": "code",
"execution_count": 236,
"metadata": {},
"outputs": [],
"source": [
"#climpred.metrics._conditional_bias?"
]
},
{
"cell_type": "code",
"execution_count": 237,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x126a83828>]"
]
},
"execution_count": 237,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"cond_bias = compute_hindcast(hind, obs, metric='conditional_bias',\n",
" comparison='e2r', dim='init',alignment=alignment)\n",
"\n",
"cond_bias.plot()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### bias reduction"
]
},
{
"cell_type": "code",
"execution_count": 238,
"metadata": {},
"outputs": [],
"source": [
"def bias_reduction_quick(hind, bias):\n",
" \"\"\"Quick reduction of mean bias over all initializations.\"\"\"\n",
" bias_reduced_hind = hind - bias.mean('init')\n",
" return bias_reduced_hind"
]
},
{
"cell_type": "code",
"execution_count": 239,
"metadata": {},
"outputs": [],
"source": [
"def bias_reduction(hind, bias):\n",
" \"\"\"Reduce bias from all but the given initialization in a cross-validation approach.\n",
" \n",
" Reference:\n",
" - Jolliffe, Ian T., and David B. Stephenson. Forecast Verification: A Practitioner’s Guide\n",
" in Atmospheric Science. Chichester, UK: John Wiley & Sons, Ltd, 2011.\n",
" https://doi.org/10.1002/9781119960003., Chapter: 5.3.1, p.80\n",
" \"\"\"\n",
" bias_reduced_hind = []\n",
" logging.info(' bias reduction:')\n",
" for init in hind.init.values:\n",
" hind_drop_init = hind.init.drop_sel(init=init)\n",
" hind_drop_init_where_bias = hind_drop_init.where(bias.init)\n",
" logging.info(f'initialization {init}: remove bias from {hind_drop_init_where_bias.min().values}-{hind_drop_init_where_bias.max().values}')\n",
" bias_reduced_hind.append(hind.sel(init=init) - bias.sel(init=hind_drop_init_where_bias).mean('init'))\n",
" bias_reduced_hind = xr.concat(bias_reduced_hind,'init')\n",
" return bias_reduced_hind"
]
},
{
"cell_type": "code",
"execution_count": 240,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'hindcast lead timeseries reduced for unconditional bias')"
]
},
"execution_count": 240,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"bias_reduced_hind_quick = bias_reduction_quick(hind, bias)\n",
"bias_reduced_hind = bias_reduction(hind, bias)\n",
"plot_lead_timeseries(bias_reduced_hind_quick, obs)\n",
"plt.title('hindcast lead timeseries reduced for unconditional bias quick')\n",
"plot_lead_timeseries(bias_reduced_hind, obs)\n",
"plt.title('hindcast lead timeseries reduced for unconditional bias')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## compute skill"
]
},
{
"cell_type": "code",
"execution_count": 241,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Compute raw rmse\n",
"Compute bias reduced quick rmse\n",
"Compute bias reduced rmse\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"metric='rmse'\n",
"print(f'Compute raw {metric}')\n",
"compute_hindcast(hind, obs, metric=metric,alignment=alignment).plot(label='raw_skill')\n",
"print(f'Compute bias reduced quick {metric}')\n",
"compute_hindcast(bias_reduced_hind_quick, obs, metric=metric,alignment=alignment).plot(label='skill after bias_reduction_quick')\n",
"print(f'Compute bias reduced {metric}')\n",
"compute_hindcast(bias_reduced_hind, obs, metric=metric,alignment=alignment).plot(label='skill after bias_reduction')\n",
"\n",
"plt.legend()\n",
"plt.title(f'{metric} skill')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## bootstrap skill"
]
},
{
"cell_type": "code",
"execution_count": 242,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/aaron.spring/anaconda3/envs/climpred-dev/lib/python3.6/site-packages/xarray/core/dataarray.py:669: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" return key in self.data\n"
]
}
],
"source": [
"iterations=10\n",
"bs = climpred.bootstrap.bootstrap_hindcast(hind,hist,obs,bootstrap=iterations,metric=metric)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"climpred.graphics.plot_bootstrapped_skill_over_leadyear(bs,sig=95)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 244,
"metadata": {},
"outputs": [],
"source": [
"# reducing mean bias from historical uninitialized simulations\n",
"hist_bias_reduced = hist - (hist - obs).sel(time=slice('1965','2015')).mean('time')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"bs = climpred.bootstrap.bootstrap_hindcast(bias_reduced_hind,hist_bias_reduced,obs,bootstrap=iterations,metric=metric)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"climpred.graphics.plot_bootstrapped_skill_over_leadyear(bs,sig=95)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda env:climpred-dev] *",
"language": "python",
"name": "conda-env-climpred-dev-py"
},
"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": 4
}
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