Application of this technique to the models shows that eq. 3 is a significantly better fit (F = 6.7, p < 0.05) to the data than is eq. 2.
Note
that eq. 3 has one degree of freedom less than eq. 2 because of the
additional change in the unconstrained equation.

A regression of mean diurnal temperatures for each time interval with
the normalized sinusoidal solar radiation pattern for the western hemisphere present at GZ gave the fit:

T = 271.9 + 14. 28q9

(4)

(r = .965, F = 187.7, p < 0.01)

where

T

= absolute mean diurnal temperature, °K, and

Sgg = (Sin [27 (JD ~ 90)/365] + 1), where
JD

= Julian day number,

1,2,3,....... 365.

The pattern yields a maximum value on a Julian day corresponding to the
summer solstice in the western hemisphere.
Since the pattern of absolute
temperature to the fourth power also produced a similar fit (r = .960,
p < 0.01) with radiation pattern, a new model for predicting dust flux

was obtained by substitution of Sg for T* in eq. 2:

C. = 337.5 PS9q
(r = .970, F = 221, p < 0.01), or to replace eq.

C, = 1.12 x 10~*PSggU*

(rx = .979, F = 323. p < 0.01).

3:

(5)

(6)

The windspeed term reduced the SSR by 30%, and a percentage reduction in
SSR by using eq. 6 over eq. 5 was significant (F = 6.05, p < 0.01) in

providing a better fit to the dust flux data.
A comparison of all
models (eqs. 2, 3, 5, and 6) shows declining SSRs of (2,565,603),
(1,734,597), (1,579,617), and (1,103,166), respectively.
Since eq. 3
fits better than eq. 2, and eq. 6 fits better than eq. 5, then eq. 6
fits significantly better than any of the other models.
A plot of
observed dust flux for the soil creep compartment C_ is compared with
calculated values from eqs. 5, 6 is presented in Figure 1.

The explained variation in dust flux in all model equations is primarily
explained by precipitation:

C. = 550. 8P

(r = .940,

F = 107, p < 0.01);

(7)

a discussion of the possible causes for this effect is presented later
in this report.
Complementary equations for dust flux considering

689

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