11 in Kinnell (2014) Selleck PCI-32765 was incorrect. They suggested that it should be equation(12) b1(QR30EI)c1=b1(Ve30EIPe−1)c1b1QREI30c1=b1VeEI30Pe−1c1where
b1 and c1 are the empirical coefficients, QR is the runoff ratio, E is the storm kinetic energy, I30 is the maximum 30-minute intensity, Ve is the runoff amount, and Pe is the rainfall amount. While their Eq. (12) was mathematically correct, Eq. 11 in Kinnell (2014) was presented in the context of modelling soil loss in terms of runoff and sediment concentration with the expression for sediment concentration enclosed in square brackets. Consequently, Eq. 11 in Kinnell (2014) should have been written as equation(13) b1(QR30EI)c1=Ve[b1Vec1–1(30EIPe−1)c1].b1QREI30c1=Veb1Vec1–1EI30Pe−1c1. The term Vec1–1Vec1–1 was inadvertently omitted from Eq. 11 in Kinnell (2014). Eq. (13) is a mathematically correct rearrangement of Eq. (12). Eq. (13) indicates that sediment concentration varies nonlinearly with both the runoff amount and the product of the kinetic energy per unit quantity of rain (E Pe− 1) and I30. The relevance of the discussion about the effect of runoff on sediment concentration that followed Eq. 11 in Kinnell (2014) is more obvious from Eq. (13) than Eq. (12). However, the discussion in Kinnell (2014) about Ae Pe (EI30)− 1 increasing with Ve to a
power of 1.48 on 22 m long plots at Sparacia followed the observation in Bagarello et al. (2011) that nonlinear relationships between sediment concentration and the product of the kinetic energy per unit quantity of rain and BLU9931 mw I30 did not second definitely exist in experimental data obtained from runoff and soil loss plots at Masse and Sparacia when both runoff and the product of the kinetic energy per unit quantity of rain and I30 were used as independent variables in the prediction of sediment concentration. Although not stated explicitly, the discussion in Kinnell (2014) about Ae Pe (EI30)− 1 increasing with Ve to a power of 1.48 on 22 m long plots at Sparacia focussed on equation(14) b1(QR30EI)c1=Ve[b1Vec2(30EIPe−1)]b1QREI30c1=Veb1Vec2EI30Pe−1where c2 = 0.48
on 22 m long plots at Sparacia, being an alternative to Eq. (13). Given that c2 was greater than c1 − 1 at Sparacia, the conclusion by Kinnell (2014) that runoff had a significant effect on sediment concentration at Sparacia followed more from Eq. (14) than Eq. (13). “
“The authors regret that there were errors in the units for total carbon and total nitrogen in Fig. 5. The corrected version of the figure is shown below. The authors would like to apologise for any inconvenience caused. Figure options Download full-size image Download as PowerPoint slide Fig. 5. Concentrations of carbon, nitrogen, and phosphorus in the organic horizon and the upper mineral soil (0–20 cm) along the Haast dune sequence, New Zealand. Values are the mean ± standard error of three replicate plots located along the dune crest at each site.