The efficient transport of resources is a pivotal contributing factor in determining the structural evolution of real-world networks. Archetypes for self-organizing systems that ramify into networks in order to optimize energy expenditure rates are xylem conduits in leaves and river basins. However, these formations are not only restricted to the natural realm but can also be generated by anthropogenic processes. A prominent example is that of transportation networks such as railway and metro systems, that are designed to jointly optimize traffic overload and infrastructural cost. In this talk, I will talk discuss how these models can be studied with methods of statistical physics and optimal transport theory. These tools help unveil the macroscopic nature of mobility patterns and result in efficient algorithmic implementation for the simulation of navigability strategies in transportation.