egttools.plotting.helpers.calculate_nb_states¶

calculate_nb_states()¶

Calculates the number of possible states in a discrete simplex.

This corresponds to the number of integer compositions of a population of size group_size into nb_strategies categories. Internally, it uses the “stars and bars” combinatorial formula.

Parameters:

group_size (int) – Size of the population or group (number of “stars”).
nb_strategies (int) – Number of available strategies (number of “bins”).

Returns:

The number of possible integer states of the simplex, i.e., the number of ways to assign group_size individuals to nb_strategies strategies.

Return type:

int