Datasets:
File size: 15,790 Bytes
10559a9 1f968fc 10559a9 1f968fc 10559a9 45f7f3d 10559a9 45f7f3d 10559a9 dafd0af 45f7f3d 1f968fc 10559a9 1f968fc 45f7f3d 1f968fc 45f7f3d dafd0af 45f7f3d 1f968fc 10559a9 1f968fc 10559a9 1f968fc 10559a9 1f968fc 10559a9 1f968fc 10559a9 1f968fc dafd0af 1f968fc dafd0af 45f7f3d 10559a9 1f968fc 10559a9 1f968fc 10559a9 1f968fc 10559a9 1f968fc 10559a9 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 | """Forecasts for the Protostar Climate Risk challenge.
Runs the three official reference baselines (last value, 30-year average,
30-year linear trend) plus two added methods, backtests them at several
cutoff years (all using data <= 2018 only), picks the best per metric, and
fills submission.csv.
Added methods:
pooled (temperature, CDD): one warming line fitted to the average anomaly of
all cities, added to each city's 30-year mean. For CDD the shift is
scaled by the city's own CDD-per-degree sensitivity.
pooledNN / pooled25 / pooled50: variants with a shorter baseline window (NN
years) or some weight on each city's own slope.
medNN, avgNN (precipitation, hottest day): median or mean of the last NN years.
Method choice uses backtests on data <= 2018 only, never leaderboard scores.
Usage (from the dataset root):
python code/baseline.py # validate, then write submission.csv
python code/baseline.py --validate # validation table only
Data rule: uses only the challenge dataset (records up to 2018-12-31).
"""
import argparse
from pathlib import Path
import numpy as np
import pandas as pd
REPO = "CMU-OSPO/protostar-climate-train-to-2018"
ROOT = Path(__file__).resolve().parent.parent
SUBMISSION = ROOT / "submission.csv"
# metric code -> column in annual_indices
METRICS = {
"annual_avg_temp": "Avg Temp",
"total_precip_in": "ToT Prcp",
"hottest_day_temp": "Max Tmax",
"cdd": "cdd",
}
# pooled variants: name -> (baseline window in years, weight on the city's own slope)
POOLED = {"pooled": (30, 0.0), "pooled25": (30, 0.25), "pooled50": (30, 0.5),
"pooled20": (20, 0.0), "pooled15": (15, 0.0), "pooled10": (10, 0.0)}
# ensembles: name -> component methods, averaged with equal weight
_ENS_WARM = {"ensP": ("pooled", "pooled20", "pooled15", "pooled10"),
"ensPT": ("pooled", "pooled10", "trend30", "avg10")}
_ENS_FLAT = {"ensA": ("avg30", "med30", "avg15", "avg10"),
"ensB": ("avg20", "avg10", "med15")}
ENSEMBLES = {"annual_avg_temp": _ENS_WARM, "cdd": _ENS_WARM,
"total_precip_in": _ENS_FLAT, "hottest_day_temp": _ENS_FLAT}
# methods tried per metric
_BASIC = ("last", "avg30", "trend30")
METHODS = {
"annual_avg_temp": _BASIC + tuple(POOLED) + tuple(_ENS_WARM),
"cdd": _BASIC + tuple(POOLED) + tuple(_ENS_WARM),
"total_precip_in": _BASIC + ("med30", "avg20", "avg15", "avg10", "med15") + tuple(_ENS_FLAT),
"hottest_day_temp": _BASIC + ("med30", "avg20", "avg15", "avg10", "med15") + tuple(_ENS_FLAT),
}
# departure persistence: name -> (base method, strength). The base forecast plus a faded copy of the city's
# latest departure from the national warming line (see persistence_adjust).
PERSIST = {"pooled15p": ("pooled15", 1.0), "pooled15h": ("pooled15", 0.5),
"ensPp": ("ensP", 1.0), "ensPh": ("ensP", 0.5)}
for _m in ("annual_avg_temp", "cdd"):
METHODS[_m] = METHODS[_m] + tuple(PERSIST)
COL_TO_CODE = {v: k for k, v in METRICS.items()}
# geography-shrunk trend: name -> (fit window in years, shrinkage k toward the geography slope)
GEO_METHODS = {"geo30": (30, 0.5), "geo40": (40, 0.5), "geo50": (50, 0.5), "geo30k8": (30, 0.8)}
for _m in METHODS:
METHODS[_m] = METHODS[_m] + tuple(GEO_METHODS)
GEO_FEATURES = ROOT / "data" / "city_features.csv"
def geo_matrix():
g = pd.read_csv(GEO_FEATURES).set_index("ID")
return pd.DataFrame({
"elev": g["elevation_m"] / 1000,
"w_coast": g["w_coast"], "w_gulf": g["w_gulf_stream"], "w_calif": g["w_calif_current"],
"lat": (g["Lat"] - g["Lat"].mean()) / g["Lat"].std(),
"lon": (g["Lon"] - g["Lon"].mean()) / g["Lon"].std(),
})
def predict_geo(df, last_year, years, col, window, k, lam=1.0):
"""Each city's trend, shrunk toward the slope predicted from its geography
(ridge regression across cities on elevation, coast and ocean-current features)."""
G = geo_matrix()
fits = {}
for city, g in df[(df["Year"] <= last_year) & (df["Year"] > last_year - window)].groupby("ID"):
g = g[["Year", col]].dropna()
if len(g) >= 10 and city in G.index:
slope = np.polyfit(g["Year"], g[col], 1)[0]
fits[city] = (slope, g[col].mean(), g["Year"].mean())
s = pd.DataFrame(fits, index=["slope", "mean", "xm"]).T
X = np.c_[np.ones(len(s)), G.loc[s.index].values]
beta = np.linalg.solve(X.T @ X + lam * np.eye(X.shape[1]), X.T @ s["slope"].values)
s["geo_slope"] = X @ beta
yrs = np.asarray(years)
out = []
for city in df[df["Year"] <= last_year]["ID"].unique():
if city in s.index:
r = s.loc[city]
sl = (1 - k) * r["slope"] + k * r["geo_slope"]
p = r["mean"] + sl * (yrs - r["xm"])
if col in ("cdd", "ToT Prcp"):
p = np.maximum(p, 0)
else: # too little history: fall back to the 30-year average
h = df[(df["ID"] == city) & (df["Year"] <= last_year)].set_index("Year")[col]
p = forecast(h, last_year, years, "avg30").values
out.append(pd.DataFrame({"ID": city, "Year": years, "pred": p}))
return pd.concat(out, ignore_index=True)
WINDOW = 30
TREND_WINDOW = 40 # years used to fit the pooled warming line
HORIZON = 7
ORIGINS = (1996, 2000, 2004, 2008, 2011) # backtest cutoffs; each predicts the next 7 years
MAX_MISSING_DAYS = 10
CURATED = ROOT / "data" / "annual_valid.csv"
def load_annual():
"""Read the curated table in data/; build it from the challenge dataset if missing."""
if CURATED.exists():
df = pd.read_csv(CURATED)
else:
from datasets import load_dataset # only needed when the curated table is missing
df = load_dataset(REPO, "annual_indices", split="train").to_pandas()
df = df.replace([np.inf, -np.inf], np.nan) # Max Tmax is -inf in empty years
miss_cols = [c for c in df.columns if c.startswith("Miss")]
if miss_cols: # drop badly incomplete years, as the scorer does
df = df[df[miss_cols].max(axis=1) <= MAX_MISSING_DAYS]
CURATED.parent.mkdir(exist_ok=True)
df.to_csv(CURATED, index=False)
print(f"Saved curated data to {CURATED}")
assert df["Year"].max() <= 2018, "Weather input dated after 2018: data rule"
return df
def national_shift(df, last_year, years, window=WINDOW):
"""Warming (deg F) expected in `years` relative to the 30-year baseline mean."""
d = df[(df["Year"] <= last_year) & (df["Year"] > last_year - TREND_WINDOW)]
temp = d.pivot_table(index="Year", columns="ID", values="Avg Temp")
anomaly = (temp - temp.mean()).mean(axis=1).dropna()
slope, intercept = np.polyfit(anomaly.index.values, anomaly.values, 1)
base_years = np.arange(last_year - window + 1, last_year + 1)
ref = (intercept + slope * base_years).mean()
return pd.Series(intercept + slope * np.asarray(years) - ref, index=years), slope
def city_slopes(df, last_year):
"""Each city's own warming slope (deg F per year) over the trend window."""
d = df[(df["Year"] <= last_year) & (df["Year"] > last_year - TREND_WINDOW)]
out = {}
for city, g in d.groupby("ID"):
g = g[["Year", "Avg Temp"]].dropna()
out[city] = np.polyfit(g["Year"], g["Avg Temp"], 1)[0] if len(g) >= 20 else np.nan
return pd.Series(out)
def cdd_sensitivity(df, last_year):
"""CDD change per deg F of annual average temperature, per city."""
d = df[(df["Year"] <= last_year) & (df["Year"] > last_year - TREND_WINDOW)]
out = {}
for city, g in d.groupby("ID"):
g = g[["Avg Temp", "cdd"]].dropna()
out[city] = np.polyfit(g["Avg Temp"], g["cdd"], 1)[0] if len(g) >= 15 else np.nan
s = pd.Series(out)
return s.fillna(s.median())
def forecast(series: pd.Series, last_year: int, years, method: str,
shift=None, sens=1.0, clip=False, window=WINDOW):
"""series: values indexed by Year, already cut at last_year."""
full = series.dropna()
if method[:3] in ("avg", "med") and method[3:].isdigit():
window = int(method[3:]) # e.g. avg15 = mean of the last 15 years
hist = full[full.index > last_year - window]
if hist.empty:
return pd.Series(np.nan, index=years)
if method == "last":
return pd.Series(hist.iloc[-1], index=years)
if method.startswith("avg"):
return pd.Series(hist.mean(), index=years)
if method.startswith("med"):
return pd.Series(hist.median(), index=years)
if method == "pooled":
p = hist.mean() + sens * shift.reindex(years).values
return pd.Series(np.maximum(p, 0) if clip else p, index=years)
if method == "trend30":
hist = full[full.index > last_year - WINDOW]
if len(hist) < 10:
return pd.Series(hist.mean(), index=years)
slope, intercept = np.polyfit(hist.index.values, hist.values, 1)
return pd.Series(intercept + slope * np.asarray(years), index=years)
raise ValueError(method)
def _dist_300km(ids):
"""0/1 matrix: which cities lie within 300 km of each other (self included)."""
g = pd.read_csv(GEO_FEATURES).set_index("ID")
W = np.eye(len(ids))
known = [i for i, c in enumerate(ids) if c in g.index]
lat = np.radians(g.loc[[ids[i] for i in known], "Lat"].values)
lon = np.radians(g.loc[[ids[i] for i in known], "Lon"].values)
a = np.sin((lat[:, None] - lat[None]) / 2) ** 2 + np.cos(lat)[:, None] * np.cos(lat)[None] * np.sin((lon[:, None] - lon[None]) / 2) ** 2
near = (2 * 6371.0 * np.arcsin(np.sqrt(a)) < 300).astype(float)
W[np.ix_(known, known)] = near
return W
def persistence_adjust(df, last_year, years, col, gamma):
"""Faded carry-over of each city's latest temperature departure (deg F, or CDD via sensitivity).
Departure = observed temperature minus (city mean + national warming line), split into a regional part
(mean of cities within 300 km) and a local remainder. Each part decays by its own year-to-year persistence,
estimated across all cities from data up to `last_year`. Idea from a public submission's README
(two-scale decay of the recent temperature departure); implemented and backtested here from scratch.
"""
d = df[(df["Year"] <= last_year) & (df["Year"] > last_year - TREND_WINDOW)]
temp = d.pivot_table(index="Year", columns="ID", values="Avg Temp")
anom = temp - temp.mean()
nat = anom.mean(axis=1).dropna()
slope, icpt = np.polyfit(nat.index.values, nat.values, 1)
E = (anom.sub(icpt + slope * temp.index.values, axis=0)).values
ok = ~np.isnan(E)
W = _dist_300km(list(temp.columns))
reg = (np.nan_to_num(E) @ W.T) / np.maximum(ok.astype(float) @ W.T, 1)
loc = E - reg
def phi(Z):
z0, z1 = np.nan_to_num(Z[:-1]), np.nan_to_num(Z[1:])
return float(np.clip((z0 * z1).sum() / max((z0 ** 2).sum(), 1e-9), 0, 0.9))
p_reg, p_loc = phi(reg), phi(loc)
last = temp.index[-1] == last_year
r_reg = reg[-1] if last else np.zeros(E.shape[1])
r_loc = np.nan_to_num(loc[-1]) if last else np.zeros(E.shape[1])
sens = cdd_sensitivity(df, last_year) if col == "cdd" else None
rows = []
for j, city in enumerate(temp.columns):
k = 1.0 if sens is None else sens.get(city, sens.median())
for y in years:
h = y - last_year
rows.append((city, y, gamma * k * (r_reg[j] * p_reg ** h + r_loc[j] * p_loc ** h)))
return pd.DataFrame(rows, columns=["ID", "Year", "adj"])
def predict_all(df, last_year, years, method, col):
if method in PERSIST: # base forecast + faded departure
base, gamma = PERSIST[method]
p = predict_all(df, last_year, years, base, col).merge(
persistence_adjust(df, last_year, years, col, gamma), on=["ID", "Year"], how="left")
p["pred"] = p["pred"] + p["adj"].fillna(0.0)
if col == "cdd":
p["pred"] = p["pred"].clip(lower=0)
return p[["ID", "Year", "pred"]]
ens = ENSEMBLES[COL_TO_CODE[col]].get(method)
if ens: # equal-weight average of the component forecasts
parts = [predict_all(df, last_year, years, m, col).set_index(["ID", "Year"])["pred"]
for m in ens]
return pd.concat(parts, axis=1).mean(axis=1).rename("pred").reset_index()
if method in GEO_METHODS:
return predict_geo(df, last_year, years, col, *GEO_METHODS[method])
pooled = method in POOLED
if pooled:
window, w = POOLED[method]
shift, nat_slope = national_shift(df, last_year, years, window)
dev = (city_slopes(df, last_year) - nat_slope).fillna(0.0)
sens = None if col == "Avg Temp" else cdd_sensitivity(df, last_year)
t = np.asarray(years) - (last_year - (window - 1) / 2)
out = []
for city, g in df[df["Year"] <= last_year].groupby("ID"):
s = g.set_index("Year")[col]
if pooled:
# national warming line, nudged toward the city's own slope
city_shift = shift + w * dev.get(city, 0.0) * t
k = 1.0 if sens is None else sens.get(city, sens.median())
p = forecast(s, last_year, years, "pooled", shift=city_shift,
sens=k, clip=col == "cdd", window=window)
else:
p = forecast(s, last_year, years, method)
out.append(pd.DataFrame({"ID": city, "Year": years, "pred": p.values}))
return pd.concat(out, ignore_index=True)
def validate(df):
"""Mean skill vs the 30-year average over several cutoffs (higher is better)."""
skill = {}
for code, col in METRICS.items():
for origin in ORIGINS:
years = list(range(origin + 1, min(origin + HORIZON, 2018) + 1))
actual = df[df["Year"].isin(years)][["ID", "Year", col]]
mae = {}
for method in METHODS[code]:
pred = predict_all(df, origin, years, method, col)
m = actual.merge(pred, on=["ID", "Year"]).dropna()
mae[method] = (m[col] - m["pred"]).abs().mean()
for method, v in mae.items():
skill.setdefault((code, method), []).append(1 - v / mae["avg30"])
table = pd.Series({k: np.mean(v) for k, v in skill.items()}).unstack()
pd.set_option("display.width", 250)
pd.set_option("display.max_columns", None)
print(f"Backtest skill vs 30-year average (mean over cutoffs {ORIGINS}):")
print(table.round(3))
best = table.idxmax(axis=1).to_dict()
print("Chosen:", best, "| mean skill x100:",
round(100 * np.mean([table.loc[c, best[c]] for c in best]), 1))
return best
def write_submission(df, best):
sub = pd.read_csv(SUBMISSION) # template: city_id, year, metric, predicted_value
years = sorted(sub["year"].unique())
preds = []
for code, col in METRICS.items():
p = predict_all(df, 2018, years, best[code], col)
p["metric"] = code
preds.append(p)
preds = pd.concat(preds).rename(columns={"ID": "city_id", "Year": "year"})
sub = sub.drop(columns="predicted_value").merge(
preds, on=["city_id", "year", "metric"], how="left")
missing = sub["pred"].isna().sum()
if missing:
print(f"Warning: {missing} rows had no history; filled with metric median")
sub["pred"] = sub["pred"].fillna(sub.groupby("metric")["pred"].transform("median"))
sub = sub.rename(columns={"pred": "predicted_value"})
sub.to_csv(SUBMISSION, index=False)
print(f"Wrote {SUBMISSION} ({len(sub)} rows). Methods used: {best}")
if __name__ == "__main__":
ap = argparse.ArgumentParser()
ap.add_argument("--validate", action="store_true")
args = ap.parse_args()
np.random.seed(42)
data = load_annual()
best = validate(data)
if not args.validate:
write_submission(data, best) |