where C is chemical concentration (mg kg 1) at time t (h), C o is initial concentration (mg kg 1), and k 1 is the Soil fumigation using shank injection creates high fumigant concen-first-order rate constant (h 1) independent of C and C o. tration gradients in soil from the injection point to the soil surface. A temperature gradient also exists along the soil profile. We studied In deriving Eq. [2], it is assumed that only pesticide the degradation of methyl isothiocyanate (MITC) and 1,3-dichloro-concentration changes during the course of observation; propene (1,3-D) in an Arlington sandy loam (coarse-loamy, mixed, concentrations of other species, such as degrading mi-thermic Haplic Durixeralf) at four temperatures and four initial con-croorganisms, remain unchanged. A general equation centrations. We then tested the applicability of first-order, half-order, for nth-order kinetics (n 1) of this type is given by and second-order kinetics, and the Michaelis-Menten model for de-(Sparks, 1989): scribing fumigant degradation as affected by temperature and initial concentration. Overall, none of the models adequately described the 1 n 1 (1 C n1 1 C o n1) k n t [3] degradation of MITC and 1,3-D isomers over the range of the initial concentrations. First-order and half-order kinetics adequately described the degradation of MITC and 1,3-D isomers at each initial where k n is the rate constant for nth-order kinetics, concentration, with the correlation coefficients greater than 0.78 (r 2 independent of C and C o. For example, for second-order 0.78). However, the derived rate constant was dependent on the initial kinetics (n 2), plotting 1/C with respect to time (t) concentration. The first-order rate constants varied between 6 and should yield a straight line. 10 for MITC for the concentration range of 3 to 140 mg kg 1 , and between 1.5 and 4 for 1,3-D isomers for the concentration range of For most pesticides used in agricultural systems, the 0.6 to 60 mg kg 1 , depending on temperature. For the same initial effect of concentration on pesticide degradation may be concentration range, the variation in the half-order rate constants was reasonably approximated by pseudo first-order kinetics, between 1.4 and 1.7 for MITC and between 3.1 and 6.1 for 1,3-D as these pesticides are applied at rates from less than 1 isomers, depending on temperature. Second-order kinetics and the kg ha 1 to a few kg ha 1 (Grover et al., 1997; Wolt, Michaelis-Menten model did not satisfactorily describe the degrada-1997; Kearney and Wauchope, 1998). However, several tion at all initial concentrations. The degradation of MITC and 1,3-D studies have shown that even in a well-controlled envi-was primarily biodegradation, which was affected by temperature ronment, degradation of pesticides in soils did not al-between 20 and 40C, following the Arrhenius equation (r 2 0.74). ways follow first-order kinetics (Hamaker et al., 1968; Hance and McKone, 1971; Helweg, 1975; Reffstrup et al., 1998). A difficulty commonly encountered is that A ccurate assessments...