The textbook "The Statistical Physics of Fixation and Equilibration in Individual-Based Models" by Peter Ashcroft offers a comprehensive examination at the intersection of theoretical physics and biology. It presents findings that illustrate the effectiveness of statistical physics in related disciplines. The work addresses various topics, including birth and death processes in changing environments, as well as the significance of quasi-potential landscapes in high-dimensional spaces. This dissertation is an outstanding example of the efficiency of interdisciplinary research and sheds light on areas such as game theory, cancer dynamics, and the invasion of mutants in existing populations. The background provides an intuitive introduction to the theory and applications of stochastic population dynamics and demonstrates how techniques from statistical physics can be employed to analyze biological phenomena.