Fig. 8
The behavior of the relative deviation index ϑ(Δα p , Δβ q ) ρ . This plot shows the behavior of the relative deviation index for different values of ρ(p, q). This index ϑ(Δα p , Δβ q ) ρ is obtained by dividing the absolute value of the average through time of the deviations between the 〈L ga (α ep , β eq , t, Δt)〉 ρ and \( {L}_{ga}\left(\widehat{\alpha},\ \widehat{\beta},t,\varDelta t\right) \) rates, by the time average of the \( {L}_{ga}\left(\widehat{\alpha},\ \widehat{\beta},t,\varDelta t\right) \) values, (cf. Equation (12)). The relative deviation index ϑ(Δα p , Δβ q ) ρ provides a measure of the sensitivity of the allometric method L ga (α, β, t, Δt) to changes in the parameters α and β. The values of the relative deviation index ϑ(Δα p , Δβ q ) ρ are bounded above by a value ϑ(Δα p , Δβ q ) max = 0.01. (cf. Equation (13))