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. 2013 Sep 6;10(86):20130414. doi: 10.1098/rsif.2013.0414

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© 2013 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/3.0/, which permits unrestricted use, provided the original author and source are credited.

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Figure 3. — Profile likelihood surfaces for the best exponential models (a) and fixed duration models (b). In panel (a), the maximum-likelihood and 95% CI for λ are shown by the dashed vertical lines. In (b), the axes index the two parameters of a fixed duration distribution of cross-protection. The fraction of the population that experiences cross-protection is δ and k is the duration of cross-protection. The two lightest regions represent the 90% and 95% likelihood confidence regions. The confidence region for the average duration (which is calculated as k · δ) represents the range of average durations contained in the respective confidence region. (Online version in colour.)