Both timescales are weakly correlated with the city's population ((r = 0.20) for α and (r = 0.40) for β).
Note that the inversion of the FFT preserves the spectral amplitude and angular phase, (varphi,) of the periods considered on both timescales (ST, LT).
To pursue the existence of nonlinear relations among the three variables on both timescales, we calculated the dimensionless phase space radius, R, defined as: R = sqrt {X^{2} + V^{2} }, (2 where X and V were calculated according to Eq. (1) for the SSA, NC, and PG.
Scientists living closer to the volcano tended to view understanding the changes in the volcano's behaviour as easier on both timescales than those who lived further away (ρ(week to week) = 0.28, p < 0.01; ρ year to year) = 0.36, p < 0.01), again suggesting that scientists who are willing to live closer to the volcano are generally more confident about understanding it.
Management plans need to address both timescales.
This difference in estimated R2 ratios suggests that not all our assumptions hold at both timescales (see Discussion).
We used simultaneous analyses of both variables at both timescales, as well as correlation and power spectral analyses of detailed spatial (municipal) and temporal (monthly) records.
We found that historical levels of gene flow (mean mh = 0.07) were significantly higher than contemporary levels (mean mc = 0.03), and populations with large effective population sizes (Satpura and Kanha Tiger Reserves) are the larger exporters of migrants at both timescales.
Because short-term and long-term predictions are interconnected (e.g. ATP regulates growth, and protein buildup is linked to the AA metabolism), a serious deviation in either of the timescales would be a matter of concern, as it would lead to faulty predictions on both timescales.
The intracellular levels of these proteins are known to change both adaptation timescale and clockwise bias (Alon et al., 1999).
