The question of ecosystem dynamics is relevant from a scientific and management perspective. Knowing the natural tendencies and trajectories of ecosystems will assist in planning for their development and restoration. One key feature is how the ecosystem uses the available energy flows to move further from thermodynamic equilibrium and increase its overall complexity in terms of total biomass, biodiversity, network connectivity, and information. In this presentation, I review some of the main concepts that have been used to identify these dynamic trajectories. Namely, it can be shown using network analysis that a number of ecological goal functions pertaining to energy, exergy, biomass, embodied energy, entropy, and information are complementary displaying various angles of the same general complexification phenomena.