[Paper Review] The Legality of Wind and Altitude Assisted Performances in the Sprints

Jonas Mureika|arXiv (Cornell University)|Feb 13, 2001

Sports Analytics and Performance4 references9 citations

TL;DR

This paper uses a physics-based mathematical model to simulate 100m and 200m sprint performances under varying wind and altitude conditions, showing that altitude-assisted 200m times are significantly faster than their 100m counterparts. The key finding is that 200m performances at high altitude with legal tailwinds may be substantially more assisted than currently recognized, suggesting the IAAF reconsider the 'legality' status of such records.

ABSTRACT

Based on a mathematical simulation which reproduces accurate split and velocity profiles for the 100 and 200 metre sprints, the magnitudes of altitude and mixed wind/altitude-assisted performances as compared to their sea-level equivalents are presented. It is shown that altitude-assisted times for the 200 metre are significantly higher than for the 100 metre, suggesting that the ``legality'' of such marks perhaps be reconsidered.

Motivation & Objective

• To quantify the combined effects of wind and altitude on 200m sprint performance using a physics-based simulation model.
• To address the lack of systematic correction for wind effects in the curved first 100m of the 200m race, where wind data is often missing.
• To challenge the current IAAF policy by showing that altitude-assisted 200m performances may be more aided than previously assumed.
• To propose that the 'legality' of high-altitude, wind-assisted 200m records should be reevaluated due to underestimated performance advantages.

Proposed method

• A force-based mathematical model is used, with net force defined as the difference between propulsive force, internal resistance, and aerodynamic drag.
• The drag force is modeled as proportional to the square of the sprinter’s relative velocity to the air, incorporating air density that varies with altitude.
• The model integrates net force over time to compute distance and time profiles, simulating realistic split and velocity data for 100m and 200m sprints.
• Wind effects are modeled as a function of the component of wind speed in the direction of motion, accounting for varying wind angles on the curve.
• The model is validated against known 100m performances and extended to 200m, including variable wind conditions across the curve.
• Corrections to official times are calculated to estimate what a 0-wind, sea-level equivalent time would be for each performance.

Experimental results

Research questions

• RQ1 How much faster are 200m sprint performances at high altitude compared to sea level, assuming no wind?
• RQ2 To what extent does a legal +2.0 m/s tailwind at high altitude affect 200m performance relative to sea-level conditions?
• RQ3 How do varying wind angles on the curve of a 200m race affect the actual assistance received, given that only the straight-line component is measured?
• RQ4 Why are 200m performances at high altitude with legal wind assistance potentially more aided than 100m performances under the same conditions?
• RQ5 What is the true performance advantage of altitude-assisted 200m records like Michael Johnson’s 19.71s, and should they be reclassified?

Key findings

• Altitude alone provides a performance advantage of approximately 0.07 seconds at 2250m (Mexico City), compared to sea level.
• A legal +2.0 m/s tailwind at sea level provides a 0.10–0.12 second improvement, while the same wind at 2250m provides a 0.15–0.16 second improvement.
• For 200m races, the effective wind assistance can vary by up to 0.3 seconds at low altitudes and over 0.6 seconds at high altitudes due to wind angle variations on the curve.
• Leroy Burrell’s 19.61s wind-aided 200m in 1990, with a gauge reading of +4.0 m/s, may have been assisted by up to 0.4 seconds due to favorable wind angles, making its 0-wind, sea-level equivalent faster than his best legal time.
• The model shows that 200m performances at high altitude with legal wind assistance are significantly more aided than 100m performances under the same conditions, suggesting a need to reconsider the IAAF’s record eligibility criteria.