Skip to content

Note

Click here to download the full example code

Brier Decomposition Plot

What it's for: The Brier Score Decomposition plot visualizes the three components of the Brier Score: Reliability, Resolution, and Uncertainty. The total Brier Score (BS) is calculated as: BS = Reliability - Resolution + Uncertainty.

When to use: Use this to gain a deeper understanding of why a probabilistic forecast system is performing a certain way. It allows you to distinguish between a model that is poorly calibrated (Reliability) and one that lacks the ability to distinguish different outcomes (Resolution).

How to read: * Reliability (Lower is better): Measures the weighted average of the squared differences between forecast probabilities and the relative frequencies of observed events. * Resolution (Higher is better): Measures how much the frequencies of events for specific forecast categories differ from the overall climatological frequency. * Uncertainty (Fixed for a given set of observations): Represents the inherent variability of the events being forecast. * Interpretation: A perfect model would have a Reliability of 0 and a Resolution equal to the Uncertainty, resulting in a Brier Score of 0.

Brier Score Decomposition Comparison

import matplotlib.pyplot as plt
import pandas as pd

from monet_plots.plots.brier_decomposition import BrierScoreDecompositionPlot

data = pd.DataFrame(
    {
        "model": ["Model A", "Model B", "Model C"],
        "reliability": [0.02, 0.05, 0.01],
        "resolution": [0.15, 0.10, 0.18],
        "uncertainty": [0.25, 0.25, 0.25],
    }
)

plot = BrierScoreDecompositionPlot(figsize=(10, 7))
plot.plot(
    data,
    reliability_col="reliability",
    resolution_col="resolution",
    uncertainty_col="uncertainty",
    label_col="model",
    title="Brier Score Decomposition Comparison",
)

plt.tight_layout()
plt.show()

Total running time of the script: ( 0 minutes 0.340 seconds)

Download Python source code: plot_brier_decomposition.py

Download Jupyter notebook: plot_brier_decomposition.ipynb

Gallery generated by mkdocs-gallery