Motion, fixation probability and the choice of an evolutionary process
Fig 1
Illustration of the update rules.
Each row represents one of the different evolutionary update mechanisms. The columns indicate the different steps of each evolutionary event. In column a) an individual is chosen from the whole population; it can be ‘selected’ through competition by fitness (red shading), or ‘picked’ at random, irrespective of its species (blue shading). This node is destined to either reproduce (pink shading), or to be replaced (brown shading), as shown in column b). Column c) indicates that one neighbour of this node is either selected (red), or picked (blue). This second node is destined to reproduce (pink), or to be replaced (brown), shown in column d). Column e) shows the result of the evolutionary event; the node chosen to reproduce places an offspring in place of the node chosen to die. Each row is composed of one box of each colour; the sequence of the colours distinguishes the different processes. From top to bottom, the rows correspond to: (i) global birth-death process (Bd): an individual is selected from the whole population to reproduce, and one of its neighbours is picked to be replaced by the first individual’s offspring; (ii) global death-birth process (Db): an individual is selected to die from the whole population, and one of its neighbours is picked to place an offspring in its place; (iii) local birth-death process (bD): an individual is picked from the whole population to reproduce, and one of its neighbours is selected to die; (iv) local death-birth process (dB): an individual is picked from the whole population to die, and one of its neighbours is selected to reproduce.