Erratum for “Accounting for Soil Spatial Variability in Plate Anchor Design” by Yongmin Cai, Mark Fraser Bransby, Christophe Gaudin, and Yinghui Tian

An error was made in the indicated article when writing the expression of Eq. (9) for the calculation of the probability $p_{si}(i=m)$. Hence, the derivation of Eq. (6) was incorrect. The following corrections should be made to the article:

The expression of Eq. (9) should be corrected as

The derivation of Eq. (6) after Eq. (9) should be corrected as follows:

By sequentially conditioning on the events {$Q_f<Q_f^i$, $i=1,2,\dots ,m-1$}, the term $P(Q_f<Q_f^i)$ in Eq. (9) can be expressed as

As discussed in the section “SS for Probability of Failure Calculation”, $P(Q_f<Q_f^1)$ and {$P(Q_f<Q_f^i|Q_f<Q_f^{i-1})$, $i=2,3,\dots ,m-1$} always correspond to a common specified value of the conditional probability $p_0$. Therefore, Eq. (9) can be expressed as

By substituting Eqs. (8) and (11) into Eq. (7), the expression of Eq. (6) can be derived.

Note that the results presented in the article were calculated based on the correct equations.

The authors regret the error.

To preserve the published version of record, these details have been corrected only in this erratum.