“…In view of the sacrifice of leisure utility which such solutions entail, they are not necessarily the most desirable responses. In theory, substituting capital for labour, for example, in care for the elderly, and thereby increasing the rate of growth of labour productivity may be seen as a more desirable alternative (Lee et al 2014). Assessment of the desirability of raising labour force participation as a response to increasing longevity would also raise a host of philosophical questions about the broader nature of 'population wellbeing', a subject beyond the scope of this paper (Parr and Guest 2014 The time component of an additional factor is modelled by an autoregressive (AR) model of order p: k t,i,j = a 0,i,j + a 1,i,j k t−1,i,j + a 2,i,j k t−2,i,j + · · · + a p,i,j k t−p,i,j + v t,i,j…”