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Explore the dynamics of competing species expanding into new territories through this 59-minute scientific lecture that examines how population dominance emerges from successful ancestry at expansion fronts. Learn about a novel theoretical model that integrates reproductive advantage (fitness) with colonization ability by coupling the Fisher equation for one-dimensional competition with the KPZ equation for front shape dynamics. Discover how spatial expansion capability can overcome reproductive advantages in territorial colonization, and examine the macroscopic effects of these mathematical frameworks on growth morphology. Investigate the principles governing spatial competition, fixation, and differentiation processes, while understanding how fitness variations and fixation times fall into distinct universality classes based on fitness gain limitations.
