Exact(16)
Figure 9 Total deposit volume uncertainty associated with thickness measurement errors and number of data points.
The fewer measurements and greater thickness uncertainty the greater volume uncertainty.
For example, a dataset of 10 measurements with an average 30% uncertainty relates to a volume uncertainty of about 10%, while a dataset of 30 measurements with the same uncertainty would contribute a volume uncertainty of about 5% (Figure 9).
Figure 9 shows how volume uncertainty varies as a function of number of measurements and values of thickness uncertainty.
The degree to which thickness measurement error impacts on volume uncertainty depends on the number of measurements within a given dataset and their associated uncertainty.
An average measurement uncertainty of 30% yields a volume uncertainty of 1.3%, equivalent to a volume error 0.02 km3 for the Walker and Croasdale dataset comprised of 250 measurements.
Similar(44)
Recent studies to assess uncertainties in volume estimates from tephra fall deposits (Connor and Connor 2006; Burden et al. 2013; Engwell et al. 2013) indicate that even the best-documented tephra fall deposits have volume uncertainties greater than 10%.
A review on volume uncertainties in radiotherapy has been published by Hamilton and Ebert[ 24 ].
The volume uncertainties characterized here are only the component of uncertainty related to the areas with data.
Volume uncertainties are greater than those associated with measurement uncertainty and highlight the need to detail methods used, and quantify uncertainty associated with volume estimation.
The formalized analysis enables identification of sources of uncertainty; eruptive volume uncertainties (>30 %) are much greater than thickness measurement uncertainties (~10 %).
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