Pioneering the Origins of Life: The Darwinian Pond System´s Role in Early Earth´s Evolution

In 1873, Darwin proposed the possibility that life began in a warm, shallow pool. Following this idea, a mathematical model called the Darwinian Pond System is developed that explores the role of underlying geometry in the establishment and propagation of life once it appeared on the archaic earth. The model consists of a hyperbolic connected set of pools with clearly defined geometric characteristics to which a dynamic system is coupled that simulates the possible interaction patterns between ancestral populations of protoorganisms. These geometric considerations turn out to be decisive for the establishment and subsequent widespread of emerging life forms on the Archaean earth, whose predator-prey type dynamics are associated with a system of medium-sized ponds. The present study supports the theory that life on Earth first developed in small bodies of saline water located on dry land, and emerged through extensive geological processes 4 billion years ago, from where it subsequently flowed to the sea.