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We provide a definition which highlights the difference between the global recording rate and the mean recording rate across volcanoes.
In general, though, (2a) shows that the global recording rate is biased away from the mean recording rate towards the recording rates of the most active volcanoes.
This distinction between the global recording rate and the mean recording rate is an important part of the definition and interpretation of the global recording rate, but whether it really matters is moot.
In this case pi_{j} approx frac{pi_{1j} + cdots + pi_{nj} }{ n } and the global recording rate for period j is approximately the mean recording rate across all volcanoes.
We do not expect to constrain our uncertainty about π j to within the scale of the distinction, and from this point of view our uncertainty about π j is more-or-less the same as our uncertainty about the mean recording rate, which is how we will interpret our results below.
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where ( widehat{d_m} ) is the mean age of the observed recording rate r dm.
Chen and Bieber (1993) derived the NS anisotropy ξ z in Equation 2c from the ratio (R) of the daily mean counting rate recorded by the Thule NM to that recorded by the McMurdo NM as xi_{z} = frac{b}{2}frac{R^{T} - R^{A}}{R^{T} + R^{A}} (3).
The final level of reduction using this modality was 97.4% of the mean initial rate recorded in the 45 plots.
For all of the saved states (every 20,000 generations), excluding a 10% burn-in, the recorded mean substitution rate of the actual dataset was compared to those of each of the 10 randomized datasets.
By year 3 the rate of surface elevation change decreased to a more moderate but variable mean of 0.3 (±0.6) cm yr−1 with the marker horizons recording mean accretion rates of 0.7 cm yr−1.
For each recording, the mean heart rate for each hour of the day was used in the statistical analyses.
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