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forecasting-single-series

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Forecasts a single time series using ForecasterRecursive or ForecasterDirect. Covers data preparation, model creation, training, prediction, backtesting, and prediction intervals. Use when the user needs to predict future values of one time series.

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Forecasting a Single Time Series

When to Use

Use this workflow when you have one time series and want to predict its future values.

  • ForecasterRecursive: Default choice. Uses its own predictions as inputs for multi-step forecasting. Works with any sklearn-compatible regressor.
  • ForecasterDirect: Trains one model per forecast step. Better when the relationship between lags and target changes across the horizon.

Related skills

  • Before: choosing-a-forecaster (decide between Recursive and Direct based on the data)
  • Before: autocorrelation-and-lag-selection (pick the lags argument from ACF/PACF analysis)
  • Before: feature-engineering (assemble the rolling, calendar, and exogenous features)
  • After: hyperparameter-optimization (tune the forecaster once a baseline is trained)
  • After: prediction-intervals (add bootstrap or conformal intervals on top of the point forecasts)

Stop Conditions

Scan before writing code. Each row lists a rule, the symptom when it is broken, and the recovery. Full pitfall catalog: the troubleshooting-common-errors skill.

RuleSymptomRecovery
Set the index frequency before fittingValueError: ... must be a DatetimeIndex with frequencyCall data = data.asfreq('h') (or the correct alias) on y and exog
exog passed to predict() must cover every future stepexog length / index error, or the forecast stops shortSlice exog to the full horizon: one row per step, dates matching the forecast
Fit with store_in_sample_residuals=True before predict_interval(method='bootstrapping')No in-sample residuals stored / empty residualsRefit: forecaster.fit(y=y_train, store_in_sample_residuals=True)
Split chronologically, never shuffleOver-optimistic metrics, leakageUse a time-ordered split (TimeSeriesFold); do not random-split

Complete Workflow

import pandas as pd
from sklearn.ensemble import RandomForestRegressor
from skforecast.recursive import ForecasterRecursive
from skforecast.preprocessing import RollingFeatures
from skforecast.model_selection import backtesting_forecaster, TimeSeriesFold

# 1. Load and prepare data (MUST have DatetimeIndex with frequency)
data = pd.read_csv('data.csv', index_col='date', parse_dates=True)
data = data.asfreq('h')  # Set frequency — required

# 2. Train/test split (time-based, never random)
end_train = '2023-01-01'
y_train = data.loc[:end_train, 'target']
y_test = data.loc[end_train:, 'target']

# 3. Create forecaster with optional rolling features
rolling_features = RollingFeatures(
    stats=['mean', 'std'],
    window_sizes=24
)

forecaster = ForecasterRecursive(
    estimator=RandomForestRegressor(n_estimators=100, random_state=123),
    lags=24,
    window_features=rolling_features,
    transformer_y=None,          # e.g., StandardScaler() for scaling
    categorical_features='auto', # Auto-detect and encode non-numeric exog columns
    differentiation=None,        # e.g., 1 for first-order differencing
    dropna_from_series=False,    # True to drop NaN rows; False to keep (NaN-tolerant estimators)
)

# 4. Train
forecaster.fit(y=y_train)

# 5. Predict
predictions = forecaster.predict(steps=10)

# 6. Backtesting (proper evaluation)
cv = TimeSeriesFold(
    steps=10,
    initial_train_size=len(y_train),
    refit=False,
    fixed_train_size=False,
)

metric, predictions_bt = backtesting_forecaster(
    forecaster=forecaster,
    y=data['target'],
    cv=cv,
    metric='mean_absolute_error',
)
print(f"MAE: {metric}")

# 7. Prediction intervals
# Default interval is [0.05, 0.95] (90%). Here [0.1, 0.9] creates an 80% interval.
forecaster.fit(y=y_train, store_in_sample_residuals=True)
predictions_interval = forecaster.predict_interval(
    steps=10,
    interval=[0.1, 0.9],        # 80% prediction interval (quantiles, 0-1 scale)
    method='bootstrapping',
    n_boot=500,
)

With Exogenous Variables

# Exogenous variables must cover the forecast horizon during prediction
forecaster = ForecasterRecursive(
    estimator=RandomForestRegressor(n_estimators=100, random_state=123),
    lags=24,
)
forecaster.fit(y=y_train, exog=exog_train)
predictions = forecaster.predict(steps=10, exog=exog_test)

Using ForecasterDirect

from skforecast.direct import ForecasterDirect

# Must specify `steps` at creation — trains one model per step
forecaster = ForecasterDirect(
    estimator=RandomForestRegressor(n_estimators=100, random_state=123),
    lags=24,
    steps=10,
    categorical_features='auto',  # Auto-detect and encode non-numeric exog columns
)
forecaster.fit(y=y_train, exog=exog_train)
predictions = forecaster.predict(exog=exog_test)

Common Mistakes

  1. Missing frequency on index: Always call data.asfreq('h') (or 'D', 'MS', etc.).
  2. NaN in data: Forecasters reject NaN by default. Use dropna_from_series=True to drop incomplete rows, or keep dropna_from_series=False (default) with NaN-tolerant estimators (LightGBM, CatBoost, HistGradientBoosting, XGBoost hist). Alternatively, impute missing values first.
  3. Exog not covering forecast horizon: The exogenous DataFrame for predict() must have rows for every future step.
  4. Random train/test split: Time series must be split chronologically, never shuffled.
  5. Forgetting store_in_sample_residuals=True: Required before calling predict_interval() with method='bootstrapping' on a standalone forecaster. During backtesting, residuals are computed automatically.