Table 4.

Jump Probabilities For Step 3 in Algorithm II

	$P_{\text{Jump}}\left(k_{\text{old}}^{\prime },{\mathbf{t}}_{k_{\text{old}}^{\prime }},{\psi }_{\text{old}},{\sigma }_{\text{old}}^2\to k_{\text{new}}^{\prime },{\mathbf{t}}_{k_{\text{new}}^{\prime }},{\psi }_{\text{new}},{\sigma }_{\text{new}}^2|k_{\text{old}},{\mathbf{t}}_{k_{\text{old}}})\right)$
Birth	$\left(b_F(k_{\text{old}}^{\prime })\frac{1}{k_{\text{old}}^{\prime }}{\displaystyle {\sum }_{x\in t_{k_{\text{old}}^{\prime }}}h(t_{k\prime }^{\text{new}}|x)}\right)\times MV{N}_3({\psi }_{\text{new}},\text{log}({\sigma }_{\text{new}}^2))$
Relocation	$\left(r_F(k_{\text{old}})\frac{1}{k_{\text{old}}^{\prime }}h(t_{k\prime }^{\text{new loc}}|t_{k\prime }^{\text{relocated}})\right)\times MV{N}_3({\psi }_{\text{new}},\text{log}({\sigma }_{\text{new}}^2))$
Death	$d_F(k_{\text{old}}^{\prime })\frac{1}{k_{\text{old}}^{\prime }}$