Table 4: Characteristics of the sinusoid functions and young water
fractions obtained by the application of Eq. (4) to all the studied
water compartments. Ground VP05 level weighted means the results for
groundwater at VP05 when the isotopic signature was weighted with the
exponent of the water table level. Shallow ground water means when depth
to the water table was between 0 and 2.25 m and deep ground water it was
deeper than 2.25 m. A is the amplitude, k is the zero
value and ϕ is the phase shift of the fitted sinusoid functions.\(F_{\text{yw}}\) is the young water fraction calculated with Eq. (5)
using precipitation A as input amplitude (Ap ). The
abbreviation n. s. means that the value was not significantly different
from 0. \(F_{\text{yw}}\) and \(F_{\text{yw}}^{*}\) respectively
refer to time-weighted and flow-weighted young water fractions when
estimated for stream waters. (1) denotes dimensionless variables.