Supplementary material
Table S1 : Interannual mensual flux calculation since concentration (C) and discharge (Q) data.
(Modified from Moatar et al., 2009)
Method
M1A
M1B
M1C
M1D
M2A
Annotation
Ki
Fm
̅̅̅̅̅
𝐶𝑎𝑛 , 𝐶𝑖
Q
j
m
𝜎
Description
Annual concentration average
multiplied by the monthly
discharge. Then, interannual
average of the monthly fluxes.
Interannual
monthly
concentration
average
multiplied by the interannual
monthly discharge average.
Monthly
interannual
flux
average.
Daily concentration multiplied
by the discharge of the
corresponding day. This daily
flux
is
considered
as
representatives of the monthly
flux.
Fj = aQjb when the R2 between
log(Fj) log(Qj) is > 0,60 (pvalue <0.05)
Working hypothesis
The concentration is
constant during the
year.
𝐹𝑚 = 𝐾1 ̅̅̅̅̅
𝐶̅𝑗 𝑎𝑛 × ̅̅̅̅
𝑄𝑚
The concentration is
constant for one month
interanually.
𝐹𝑚 = 𝐾2 𝐶̅𝑗 × ̅̅̅̅̅
𝑄𝑚
The flux is constant
for
one
month
interanually.
The flux is constant
for one month and
interanualy.
The flux responds to a
power law regression
with the discharge.
Flux calculation
𝐹𝑚 = 𝐾2 ̅̅̅̅̅̅̅̅̅̅̅
𝐶𝑗 × 𝑄𝑚
𝐹𝑚 = 𝐾3 ̅̅̅̅̅̅̅̅̅̅̅̅
𝐶 𝑗 × 𝑄𝑗
𝐹𝑚 = 𝑎 𝑄𝑚 𝑏+1
Determined from the regression :
𝐶𝑗 = 𝑎 𝑄𝑗 𝑏
Signification
Conversion factor to take into account the estimation period and the measure
unit expressed in t.year-1
Interannuel mensual flux average
Annual concentration average, instantaneous concentration (at the sampling
date)
Discharge
Daily (day of the sampling)
Month
Standard deviation
unité
moles.year-1
mmoles.l-1
m3.s-1