The digital model has been implemented with Processing after observing their behaviour. For example, Azolla caroliniana tends to form large carpets of individuals that remain attached between them, as the plant grows and multiplies itself in a dichotomous way. Lemna minor multiplies itself by scission of the individuals, therefore the group has the tendency to be laxer, giving also the possibility to the plants to fill the spaces between the other species. Spirodela polyrrhiza multiplies itself also by scission, but the individuals, a part from being larger, are more sessile than Lemna.
Relations between the three species were considered in order to define the rules. Azolla tends to dominate over Lemna and to occupy its place. Also, when Azolla grows forming large groups, the intraspecific competition, particularly in environments with scarce phosphorus like the experiment, tends to leave empty spaces that can be occupied by other species, especially by Lemna. Spirodela is little affectedly the development of Azolla and even less from Lemna, but requires more nutrients that the others, specially than Azolla that can fix nitrogen from the atmosphere because its symbiosis with Anabaena. Therefore, the population of Spirodela is limited also by intraspecific competition. Lemna is the more ubiquitous specie therefore can occupy large patches and is less affected than the others by intraspecific competition.
The relation between species has been codified, defining the following rules:
· If Azolla has more than 6 neighbours Azolla >> Azolla becomes Lemna, else stays Azolla.
· If Spirodela has more than 4 neighbours Spirodela >> Spirodela becomes Lemna, else stays Lemna.
· If Spirodela has more than 5 neighbours Azolla >> Spirodela becomes Azolla, else stays Spirodela.
In order to obtain conclusions from the analog experiment the images have been digitally processed, grouping the different species and enabling the comparison with the digital model.