Every species is thought to develop an optimal strategy for survival and reproduction among a vast array of possible strategies. In natural selection, individuals with traits that maximize an individual's reproductive success will leave more offspring (and genes) to the next generation. Therefore, the number of offspring produced by an individual can be used as an indicator of the individual's relative evolutionary fitness. In a given ecological context, the comparison of the number of offspring produced relative to alternative behavioral strategies can help researchers predict the best strategy for optimizing fitness1.
Social Hymenoptera (such as wasps, bees, and ants) have a system of three different castes, which are workers (sterile females), queens (gynes), and males1. Only new queens (gynes) and males count toward fitness in social Hymenoptera. Worker production does not directly contribute to fitness since the worker is infertile. On the other hand, a queen that can produce a higher colony productivity (such as a higher number of total cells or a heavier nest) is considered to have a higher fitness in social Hymenoptera, regardless of the number of actually produced new queens and males (see, e.g.,Tibbetts and Reeve2 and Mattila and Seeley3). In general, it is difficult to precisely count the number of offspring produced by a colony of social Hymenoptera. In fact, the queens of many social insects live for more than 1 year (e.g., leaf-cutter ant queens can live >20 years4 and honeybee queens may live for 8 years5). In addition, one queen may produce thousands of reproductive offspring over the course of several weeks or months, even in annual species of genera Vespa and Vespula6,7,8. Furthermore, the lifespan of workers is shorter than that of their mother queen, and workers often die away from their nests. Hence, even if one could accurately count all adults in a nest at any given point in time, such a count would not accurately depict the number of offspring produced. Therefore, the number of offspring produced has been roughly estimated from the size of the nest, the number of workers in the nest, or the weight of the nest at a given point in time3,9,10. The number of larval cells could result in an overestimation of the offspring production when some cells are empty. The same method could also result in a potential underestimation of the offspring production because combs of small cells that contain worker brood can produce two or three cohorts of larvae6,7,11.
The first aim of this work is to provide an improved method for estimating vespine wasp colony productivity in terms of the number of adults produced. Yamane and Yamane suggested that the best way to estimate the number of offspring produced by a colony is to count the meconia in the nest12. The meconia is the fecal pellet comprising larval cuticle, gut, and gut contents that a larva leaves in its cell when pupating (Figure 1A). The total number of meconia produced per comb is calculated by multiplying the total number of cells present by the average number of meconia per cell. There are often multiple layers of meconia in a cell, and each meconia indicates that an individual successfully pupated in that cell6,11 (Figure 1B). When estimating the mean number of meconia per cell, if the number of cells examined is small (a small sample size), the standard error (SE) increases, and as a result, the error for the total number of meconia per comb becomes higher than if the sample size was larger. The SE of the mean (SEM) is a measure of the dispersion of sample means around the population mean. Therefore, in this study, I focus on the SEM of the number of meconia per cell to estimate the population (the number of adults produced) from the sample mean (the average number of meconia per cell). This study attempts to determine how many samples are required to obtain an SE rate of less than 0.05 per cell. To do this, a numerical simulation is performed with real data on the number of meconia per comb, to determine the minimum sample size (for both worker and queen combs) needed to estimate this value accurately within the defined SE of 0.05.
Vespine wasp colonies live in concealed nests (underground or aerial) composed of multiple horizontal combs, built in series from top to bottom6,7,11. The average size of the cells increases from the first (top) to the last (bottom) comb. In the bottom combs, a sudden shift in the average cell size can be seen. These wider cells are built for the development of new queens. Hence, a more accurate estimate of colony productivity (i.e., the number of individuals produced) can be obtained when the total number of meconia in the worker cells (small cells) and queen cells (large cells) are considered. In order to estimate fitness at the colony level, researchers could estimate the number of queens produced and focus on the meconia in the queen cells alone. As for reproductive males, these are reared either in worker or queen cells, depending on the species. Thus, it may be difficult to estimate the male production of a colony, except in species where males have a third, unique cell size13 (e.g., Dolichovespula arenaria).
The second aim of this work is to present a useful technique for locating wild vespine wasp colonies in the field and transplanting them into laboratory nest boxes. Although some researchers obtain wasp nests from pest control calls (i.e., people reporting them as pests14,15), this method is not always possible or desirable. Researchers might need to collect nests in wild and inhabited areas where pest controllers do not operate, or to conduct their research by more flexibly obtaining nests at specific times. Interestingly, people living in the mountainous areas of central Japan traditionally collect and rear wasps (Vespula shidai, Vespula flaviceps, and Vespula vulgaris) for food. Therefore, collecting and artificial rearing techniques for these wasps are well developed in those areas17.
This paper also summarizes the methods employed to rear Vespula wasps. The experimental organism for this study was V. shidai, a social, ground-nesting wasp inhabiting western Asia and Japan. V. shidai possesses the largest colony size among all Japanese vespine wasps, with a total of 8,000 to 12,000 cells per nest, with a maximum of 33,400 cells14,18. Workers of V. shidai have an average wet weight of 67.62 ± 9.56 mg. Males are usually reared in worker cells; in contrast, new queens are reared in specially constructed, wider queen cells14.

Figure 1: Meconium in a larval cell. (A) Cross section of a comb of Vespula shidai. Meconia is indicated by red arrows. (B) Two meconia are layered. Each blue arrow indicates one meconium. Please click here to view a larger version of this figure.