1 |
\(\text{Log}\left(Q\right)\sim trend+\ \epsilon_{t}\) |
linear |
40-year trend in streamflow to compare with LTPMK
analysis |
2 |
\(\text{Log}\left(P\right)\sim trend+\ \epsilon_{t}\) |
linear |
40-year trend in rainfall to compare with LTPMK analysis |
3 |
\(\text{Log}\left(Q\right)\sim s\left(P\right)+trend+\ \epsilon_{t}\)
(equation 4) |
linear |
The trend in this model relative to model 1
indicates the importance of “other processes”, while the comparison
with model 2 indicates the “amplification”. |
4
|
\(\text{Log}\left(Q\right)\sim s\left(P\right)+s(maxT,P)+trend+\ \epsilon_{t}\)
(equation 6)
|
linear
|
Difference between model 3 and 4 is the effect of evapotranspiration on
the trend. The remaining trend is related to changes over time in the
rainfall runoff response.
|
5 |
\(\text{Log}\left(Q\right)\sim s\left(P\right)+s(maxT,P)+\ \epsilon_{t}\)
(equation 7) |
Mann Kendall and LTPMK |
Check if linear trend assumption
is biased. |