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Mar. 13th, 2004 12:53 pm![[personal profile]](https://www.dreamwidth.org/img/silk/identity/user.png){kind=small}
baloonworldFinite size effects.
It is suggested that the shape of the fitness distribution could be affected by the size of the model being considered. This can be easily considered using the code provided. As these experiments were can it became clear that the larger the system, the sharper the cut-off. To determine a quantative value, the critical fitness was defined as being the point where the graph was at its steepest. As is shown in Fig BS2, the rere was little change to the position of th
A more sophisticated approach
In principle it would be possible to get a different measure of the critical fitness by averaging the number of species with a fitness between .5 and 1(which you are sure is beyond the step) and checking where the number of species of a given fitness changes from being less than half this value to more than half this value. This is illustrated in Fig [BS3]
Fig[BS3] A more sophisticated approach to calculating the critical fitness
Changing the meaning of ‘neighbouring’ species
It is possible to conceive of circumstances under which the definition of neighboring species would be different from that first modelled. The number of species that a given species interacts with is not always 4, and so I investigate d what happens if you adjust step 3 of the algorithm so that not only are the nearest neighbors affewcted, but all of those inside the Longer range interactions between species shown in Fig [BS4]
Fig[BS 4] range of interactions between cells in the autonima in this investigation
incease determined
4Summery
4Summery
It is suggested that the shape of the fitness distribution could be affected by the size of the model being considered. This can be easily considered using the code provided. As these experiments were can it became clear that the larger the system, the sharper the cut-off. To determine a quantative value, the critical fitness was defined as being the point where the graph was at its steepest. As is shown in Fig BS2, the rere was little change to the position of th
A more sophisticated approach
In principle it would be possible to get a different measure of the critical fitness by averaging the number of species with a fitness between .5 and 1(which you are sure is beyond the step) and checking where the number of species of a given fitness changes from being less than half this value to more than half this value. This is illustrated in Fig [BS3]
Fig[BS3] A more sophisticated approach to calculating the critical fitness
Changing the meaning of ‘neighbouring’ species
It is possible to conceive of circumstances under which the definition of neighboring species would be different from that first modelled. The number of species that a given species interacts with is not always 4, and so I investigate d what happens if you adjust step 3 of the algorithm so that not only are the nearest neighbors affewcted, but all of those inside the Longer range interactions between species shown in Fig [BS4]
Fig[BS 4] range of interactions between cells in the autonima in this investigation
incease determined
4Summery
4Summery
