Teorie celkového výstupu (nastoupané výšky)

Abstract

This thesis presents a detailed investigation of elevation gain theory, with a particular focus on the mathematical modeling and empirical validation of elevation gain across varying terrains and stride lengths. The study begins by outlining a theoretical framework for understanding the role of topography, terrain irregularities, and individual biomechanics in influencing elevation gain. Through the development of mathematical models and analysis of data collected during field experiments, the study offers insights into the non-linearity of elevation gain calculations, the impact of stride length, and the role of terrain types. Additionally, the research highlights the limitations of existing calculation methods and proposes improved models for more accurate estimations. By refining the elevation gain calculation process, this work contributes to enhanced route planning for athletes, outdoor recreation, and transportation engineering.This thesis presents a detailed investigation of elevation gain theory, with a particular focus on the mathematical modeling and empirical validation of elevation gain across varying terrains and stride lengths. The study begins by outlining a theoretical framework for understanding the role of topography, terrain irregularities, and individual biomechanics in influencing elevation gain. Through the development of mathematical models and analysis of data collected during field experiments, the study offers insights into the non-linearity of elevation gain calculations, the impact of stride length, and the role of terrain types. Additionally, the research highlights the limitations of existing calculation methods and proposes improved models for more accurate estimations. By refining the elevation gain calculation process, this work contributes to enhanced route planning for athletes, outdoor recreation, and transportation engineering.