The EBM from the section Extension to background, says that changes in the size of the population don’t affect the conclusion that the highest fertility () always dominates. But from the 2nd ABM, it is clear that higher fertility only sometimes leads to domination, whereas higher enrichment sometimes leads to domination. There are three extensions from the EBM to the ABM that could explain the difference:
- Local areas/volumes in space where the replicators interact with their environment
- Movement of replicators
- Stochastic (or random element) nature of the birth, death, and movement of the replicators
The first allows for local extinction to remove ‘rogue’ replicators that affect the income from the environment too negatively. The second allows for net immigration from ‘successful’ patches to patches with replicators that don’t generate as much income for that patch. The third allows for individual patches to generate more income occasionally, simply because they have a greater proportion of high enrichment replicators. This feeds back into immigration to less ‘successful’ patches; this allows for all patches to generate more income, or in a phrase “uplifting of all boats”.