The total population size, represented by $N$, is the count of all individuals within a population. The effective population size ($N_e$) refers to the size of an idealized population that would experience the same rate of genetic drift or increase in inbreeding as the real population. It essentially reflects the number of individuals that successfully contribute genes to the next generation.
In virtually all naturally occurring eukaryotic populations, the effective population size ($N_e$) is smaller than the total population size ($N$). This discrepancy arises because real populations deviate from the idealized model in several ways that reduce genetic contribution:
Consequently, the relationship is consistently:
$ N_e < N $
This inequality highlights that only a fraction of the total population typically contributes effectively to the gene pool of the next generation, influencing evolutionary processes like genetic drift and the maintenance of genetic diversity.