Table 1 Regression models used in LOADEST.

From: Watershed carbon yield derived from gauge observations and river network connectivity in the United States

Model ID

Regression models

1

a0 + a1·In Q

2

a0 + a1·In Q + a2·In Q2

3

a0 + a1·In Q + a2·dtime

4

a0 + a1·In Q + a2·sin(2π·dtime) + a3·cos(2π·dtime)

5

a0 + a1·In Q + a2·In Q2 + a3·dtime

6

a0 + a1·In Q + a2·In Q2 + a3·sin(2π·dtime) + a4·cos(2π·dtime)

7

a0 + a1·In Q + a2·sin(2π·dtime) + a3·cos(2π·dtime) + a4·dtime

8

a0 + a1·In Q + a2·In Q2 + a3·sin(2π·dtime) + a4·cos(2π·dtime) + a5·dtime

9

a0 + a1·In Q + a2·In Q2 + a3·sin(2π·dtime) + a4·cos(2π·dtime) + a5·dtime + a6·dtime2

  1. Where ln Q = ln(streamflow) - center ln(streamflow); dtime = decimal time - center of decimal time; a0, a1, a2, a3, a4, a5 are regression coefficients.
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