To further probe the dynamics of fulvene, we examine the averaged nuclear density of a single DOF and subsequent single trajectory properties of the spin-LSC approach. Recall that a single trajectory in spin-PLDM is less representative than a single trajectory in any other approach since the correlation function depends on a sum of vastly different initial conditions (see Eq. 24) for the mapping variables and thus subsequent nuclear dynamics. Therefore, we omit any further study of spin-PLDM beyond the population dynamics and the averaged contributions to the correlation function itself (to be discussed later in Fig. ).