Supplement 1. Data and computer programs for fitting multinomial mixture models used in the main article.

File List frogindex.Rdump Description The file frogindex.Rdump is an R dump file that contains 3 R objects. This file should be loaded into R by issuing the command source("frogindex.Rdump") from an active R session. This will yield 3 objects defined subsequently. The file frogindexmodel.fn is an R script containing the commands for fitting multinomial mixture models. Some familiarity with R or the S language is assumed. As an illustration, the model contained in the first row of Table 2 of Royle and Link is fitted and the resulting output is returned. The remaining two objects are data matrices -- gf.data contains the Greenfrog calling index data. This is a matrix where rows index sample locations and columns index sample occasions. Missing values are indicated by "NA" The file gf.temp contains the temperature covariate data, in the same matrix format [sites × occasions].文件frogindex.Rdump说明：本文件为R转储文件（R dump file），内含3个R对象。可在活跃的R会话中执行命令`source("frogindex.Rdump")`加载该文件，随后将得到3个预先定义的对象。 文件frogindexmodel.fn为R脚本，包含拟合多项混合模型（multinomial mixture models）的相关命令。本数据集假设使用者具备R或S语言的使用基础。作为示例，本脚本将拟合Royle与Link所发表文献中表2第一行对应的模型，并返回最终拟合结果。 剩余两个对象为数据矩阵：gf.data存储绿蛙鸣叫指数（Greenfrog calling index）数据。该矩阵以行代表采样点位，以列代表采样时段，缺失值以"NA"标记。 文件gf.temp存储温度协变量（temperature covariate）数据，其矩阵格式与上述一致，即[采样点位 × 采样时段]。