Tolkamp BJ, Kyriazakis I
Animal Biology Division, Scottish Agricultural College, Edinburgh
Anim Behav. 1999 Apr;57(4):807-817. doi: 10.1006/anbe.1998.1022.
Analysis of behaviour that is displayed in bouts depends crucially on quantitative estimates of bout criteria, that is, the lengths of the shortest intervals between bouts. Current methods estimate bout criteria by modelling the log-transformed (cumulative) frequency distributions of intervals between events. For analysis of feeding behaviour, these models will not result in biologically meaningful quantitative estimates (Tolkamp et al. 1998, Journal of Theoretical Biology194, 235-250). We proposed a method that models the frequency distribution of log-transformed interval lengths instead. Applying this method to a single data set showed that the log-transformed lengths of intervals between feeding events were distributed as two Gaussians. Here we test this model using a data set of 35 171 intervals between feeding that was obtained during an experiment with 38 cows in three dietary treatment groups. No meaningful bout criterion could be obtained for some individuals, which casts doubt on the general validity of the proposed model. Addition of a third log-normal improved the fit of the model and we hypothesized that this third population represents intervals including drinking. In a second experiment, we found the measurements to be consistent with this hypothesis. We obtained meaningful meal criteria for all individuals by fitting either a double, or a triple, log-normal model to the frequency distributions of the lengths of intervals between feeding. These log-normal models appear to be not only more biologically meaningful than log (cumulative) frequency models but also far more flexible. Copyright 1999 The Association for the Study of Animal Behaviour.
对以发作形式表现出的行为进行分析,关键取决于对发作标准的定量估计,即发作之间最短间隔的时长。当前的方法是通过对事件之间间隔的对数变换(累积)频率分布进行建模来估计发作标准。对于进食行为的分析,这些模型不会得出具有生物学意义的定量估计结果(托尔坎普等人,1998年,《理论生物学杂志》194卷,235 - 250页)。我们提出了一种改为对对数变换后的间隔时长频率分布进行建模的方法。将此方法应用于单个数据集时发现,进食事件之间间隔的对数变换时长呈两个高斯分布。在此,我们使用在对三个饮食处理组的38头奶牛进行的一项实验中获得的35171个进食间隔的数据集来检验此模型。对于一些个体无法获得有意义的发作标准,这使人对所提出模型的普遍有效性产生怀疑。添加第三个对数正态分布改善了模型的拟合效果,我们推测这第三个总体代表包括饮水在内的间隔。在第二个实验中,我们发现测量结果与该假设一致。通过将双对数正态模型或三对数正态模型拟合到进食间隔时长的频率分布,我们为所有个体获得了有意义的进食标准。这些对数正态模型似乎不仅比对数(累积)频率模型更具生物学意义,而且灵活性也高得多。版权所有1999年动物行为研究协会。