Corrigendum

In ‘Uncovering ecological state dynamics with hidden Markov models’ by McClintock et al. (2020), which was published in volume 23, issue 12 in December 2020, the state‐dependent observation distribution matrix $\mathbf{P}\left(x_t\right)$ for the multi‐state capture–recapture HMM (top left of page 1888) was missing components to account for the fact that Pr(x_t = B | S_t = NB) = 0 and Pr(x_t = NB | S_t = B) = 0. The correct equation is:

On page 2 of Appendix A in the Supplementary Material, the state‐dependent observation distributions f (x _t | S_t = i) for the dynamic species coexistence HMM were missing similar components, and f (x _t | S_t = AB) did not properly account for $x_{t,k}=0$. The correct equations are:

$$f\left({\mathbf{x}}_t\right|{\mathrm{S}}_t=\mathrm{AB})={\prod }_{k=1}^K{r}_{\mathit{Ab}}^{I\left(x_{t,k}=1\right)}{r}_{\mathit{aB}}^{I\left(x_{t,k}=2\right)}{r}_{\mathit{AB}}^{I\left(x_{t,k}=3\right)}{\left(1-r_{\mathit{Ab}}-r_{\mathit{aB}}-r_{\mathit{AB}}\right)}^{I\left(x_{t,k}=0\right)}$$

$$f\left({\mathbf{x}}_t\right|{\mathrm{S}}_t=\mathrm{A})={\prod }_{k=1}^K{p}_A^{I\left(x_{t,k}=1\right)}{\left(1-p_A\right)}^{I\left(x_{t,k}=0\right)}{0}^{I\left(x_{t,k}\in \left\{2,3\right\}\right)}$$

$$f\left({\mathbf{x}}_t\right|{\mathrm{S}}_t=\mathrm{B})={\prod }_{k=1}^K{p}_B^{I\left(x_{t,k}=2\right)}{\left(1-p_B\right)}^{I\left(x_{t,k}=0\right)}{0}^{I\left(x_{t,k}\in \left\{1,3\right\}\right)}$$

$$f\left({\mathbf{x}}_t\right|{\mathrm{S}}_t=\mathrm{U})={\prod }_{k=1}^{K}I(x_{t,k}=0)$$