climpred-forecast-verification
Testing & QualityVerify weather and climate forecasts using climpred. Use when computing forecast skill metrics (RMSE, ACC, CRPS, etc.), comparing hindcasts to observations, bootstrapping significance, removing bias, or working with HindcastEnsemble/PerfectModelEnsemble objects. Triggers on: forecast verification, prediction skill, hindcast, climate prediction, skill score, predictability.
How to use this skill
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climpred — Forecast Verification
climpred verifies weather and climate forecasts. Built on xarray, dask, and xskillscore.
Docs: https://climpred.readthedocs.io | Docs for LLMs: https://climpred.readthedocs.io/en/latest/llms.txt
Install
pip install climpred[complete]
# or
conda install -c conda-forge climpred
Core Concepts
init: initialization time dimension (forecast reference time)lead: forecast lead time dimension (with units attribute:"years","months","days", etc.)member: ensemble member dimensiontime: observation/verification time dimension
Two Ensemble Classes
HindcastEnsemble (real-world verification)
import climpred
from climpred import HindcastEnsemble
from climpred.tutorial import load_dataset
# initialized must have dims (init, lead, [member])
init = load_dataset("CESM-DP-SST") # dims: (init, lead, member)
obs = load_dataset("ERSST") # dims: (time,)
uninit = load_dataset("CESM-LE") # dims: (time, member)
hindcast = HindcastEnsemble(init).add_observations(obs).add_uninitialized(uninit)
# Verify
skill = hindcast.verify(
metric="rmse",
comparison="e2o",
dim="init",
alignment="same_inits",
reference=["persistence", "climatology", "uninitialized"],
)
PerfectModelEnsemble (model-internal verification)
from climpred import PerfectModelEnsemble
init = load_dataset("MPI-PM-DP-1D") # dims: (init, lead, member)
control = load_dataset("MPI-control-1D") # dims: (time,)
pm = PerfectModelEnsemble(init).add_control(control)
skill = pm.verify(metric="acc", comparison="m2e", dim=["init", "member"])
Key Methods
| Method | Description |
|---|---|
.verify() | Compute verification skill |
.bootstrap() | Bootstrap significance testing |
.remove_bias() | Bias-correct forecasts (HindcastEnsemble only) |
.smooth() | Temporal/spatial smoothing |
.add_observations() | Add verification data (HindcastEnsemble) |
.add_uninitialized() | Add uninitialized ensemble |
.add_control() | Add control run (PerfectModelEnsemble) |
.plot_alignment() | Visualize init-verification alignment |
verify() Parameters
All keyword-only:
metric(required): See reference/metrics.mdcomparison(required): See reference/comparisons.mddim: Dimensions to reduce.None= all exceptlead. Use[]for per-init skill.alignment(HindcastEnsemble only):"maximize","same_inits", or"same_verifs"reference:["persistence", "climatology", "uninitialized"]or subsetgroupby: Group init before verification (e.g.,"month","season")**metric_kwargs: Passed to metric (e.g.,category_edgesforrps)
bootstrap() Parameters
Same as verify() plus:
iterations: Number of bootstrap iterations (recommend ≥500)sig: Significance level in percent (default: 95)resample_dim:"member"(default) or"init"
Returns Dataset with results dim: ["verify skill", "p", "low_ci", "high_ci"]
Comparisons
HindcastEnsemble: "e2o" (ensemble mean vs obs), "m2o" (members vs obs)
PerfectModelEnsemble: "m2m", "m2e", "m2c", "e2c"
Use "e2o" for deterministic metrics, "m2o" for probabilistic metrics (CRPS, RPS).
Common Metrics Quick Reference
| Category | Metrics |
|---|---|
| Correlation | pearson_r (alias: acc), spearman_r |
| Distance | mse, rmse, mae, me (bias), median_absolute_error |
| Normalized | nmse, nrmse, nmae, msess (MSSS) |
| Percentage | mape, smape |
| Probabilistic | crps, crpss, crpss_es, brier_score, rps, rank_histogram, reliability, discrimination, roc |
| Bias decomposition | unconditional_bias, conditional_bias, mul_bias, bias_slope, msess_murphy |
| Other | uacc, std_ratio, less |
Full metric details: See reference/metrics.md
Alignment (HindcastEnsemble only)
"maximize": Most degrees of freedom; different inits per lead"same_inits": Same initializations across all leads"same_verifs": Same verification dates across all leads
Bias Removal
hindcast_corrected = hindcast.remove_bias(
alignment="maximize",
how="additive_mean", # or "modified_quantile", "DetrendedQuantileMapping", etc.
train_test_split="unfair", # or "fair" (leave-one-out cross-validation)
cv="LOO", # cross-validation strategy
)
Common Workflows
1. Deterministic skill with references
skill = hindcast.verify(
metric="acc",
comparison="e2o",
dim="init",
alignment="same_inits",
reference=["persistence", "climatology"],
)
skill["SST"].plot(hue="skill")
2. Probabilistic skill (CRPS)
skill = hindcast.verify(
metric="crps",
comparison="m2o",
dim=["init", "member"],
alignment="same_verifs",
)
3. Bootstrap significance
bs = hindcast.bootstrap(
metric="acc",
comparison="e2o",
dim="init",
alignment="same_inits",
iterations=500,
reference=["persistence", "climatology"],
)
# p < 0.05 means initialized beats reference
4. Per-init skill (no dimension reduction)
skill = hindcast.verify(
metric="rmse",
comparison="e2o",
dim=[],
alignment="same_verifs",
)
5. Seasonal groupby
skill = hindcast.verify(
metric="acc",
comparison="e2o",
dim="init",
alignment="same_inits",
groupby="month",
)
Data Requirements
Initialized forecast (init):
- Must have
init(initialization time) andleaddimensions leadmust have aunitsattribute:"years","months","days", etc.- Optional:
memberdimension for ensemble
Observations (obs):
- Must have
timedimension - Variables must match initialized dataset
Lead units attribute — set before creating ensemble:
ds["lead"].attrs["units"] = "years"
Tutorial Datasets
from climpred.tutorial import load_dataset
# call load_dataset() without args to list all available datasets
# Decadal (HindcastEnsemble)
init = load_dataset("CESM-DP-SST")
obs = load_dataset("ERSST")
uninit = load_dataset("CESM-LE")
# Perfect model
init_pm = load_dataset("MPI-PM-DP-1D")
control = load_dataset("MPI-control-1D")
# Subseasonal
s2s_init = load_dataset("ECMWF_S2S_Germany")
s2s_obs = load_dataset("Observations_Germany")
Gotchas
dimmust match comparison: Usedim="init"withcomparison="e2o"(no member dim). Usedim=["init", "member"]withcomparison="m2o".- Lead units: Always set
ds["lead"].attrs["units"]before creating the ensemble. - Integer init coords: Auto-converted to annual cftime. Use cftime or datetime init coords for sub-annual data.
alignmentis required forHindcastEnsemble.verify()(not for PerfectModelEnsemble).reference="uninitialized"requires.add_uninitialized()first.
Advanced: reference files
- Setting up data & toy examples: See reference/setting_up_data.md
- Bias removal guide: See reference/bias_removal.md
- Full metrics catalog: See reference/metrics.md
- Comparisons detail: See reference/comparisons.md