Alternative functions fit to the data relating immigration (It) to the number of damselfish remaining on the site (Dt) following each removal event (t), where a and b are estimated parameters.

For per site scaling, It equaled the total number of immigrants arriving on the site between the removal and the subsequent count. For per new vacancy scaling, It equaled the total number of immigrants arriving on the site between the removal and subsequent count divided by the number of damselfish removed. For per capita scaling, It equaled the total number of immigrants arriving on the site between the removal and the subsequent count divided by the number of damselfish remaining immediately after the removal.