Maths for understanding water flow
Some places have higher levels of precipitation while others have higher levels of dryness, so it is no surprise that maps showing climatic variations will vary greatly. The frequency of rainfall and its partial evaporation, the nature of soils and the way they are used and water flow into rivers are all parameters that are impacted. These parameters initiate a cause and effect chain of events that influence the capacity of our rivers, industrial production, and agriculture and could extend to the management of water, flood-risk areas and periods of dryness. Having the capability to predict these evolutions has become a major challenge for hydrology. Each river basin has individual characteristics that have a unique effect on the water cycle. A colossal amount of data is required in order to correctly calibrate ecosystem models. However, there may be another way of predicting the behaviour of river basins across the world while at the same time eliminating the need for vast and tedious amounts of field data. This “universal response” can be found in a simple equation, the maximum power principle. Intuition is bold but nature tends to respond favourably to empirical methods. Put another way, up to now there is nothing to prove that this equation doesn’t work.