Land Surveyors United

Error Propagation in Surveying

Interactive guide to understanding measurement error propagation

Simulation Controls

100 500 1000

Error Propagation Visualization

Error Propagation Calculator

Input Measurements

Propagated Error

X Component:
±0.000 m
Y Component:
±0.000 m
Total Position Error:
±0.000 m

Monte Carlo Simulation

Sample Statistics

Confidence Regions

Error Propagation Theory

General Law

σ²ᶠ = Σ(∂f/∂xᵢ)² σ²ᵢ

Correlation Terms

+ 2Σᵢ₌₁ⁿ⁻¹Σⱼ₌ᵢ₊₁ⁿ (∂f/∂xᵢ)(∂f/∂xⱼ)σᵢⱼ

Statistics Summary