Limits to the Rate of Adaptive Substitution in Sexual Populations

In large populations, many beneficial mutations may be simultaneously available and may compete with one another, slowing adaptation. By finding the probability of fixation of a favorable allele in a simple model of a haploid sexual population, we find limits to the rate of adaptive substitution, , that depend on simple parameter combinations. When variance in fitness is low and linkage is loose, the baseline rate of substitution is , where is the population size, is the rate of beneficial mutations per genome, and is their mean selective advantage. Heritable variance in log fitness due to unlinked loci reduces by under polygamy and under monogamy. With a linear genetic map of length Morgans, interference is yet stronger. We use a scaling argument to show that the density of adaptive substitutions depends on , , , and only through the baseline density: . Under the approximation that the interference due to different sweeps adds up, we show that , implying that interference prevents the rate of adaptive substitution from exceeding one per centimorgan per 200 generations. Simulations and numerical calculations confirm the scaling argument and confirm the additive approximation for ; for higher , the rate of adaptation grows above , but only very slowly. We also consider the effect of sweeps on neutral diversity and show that, while even occasional sweeps can greatly reduce neutral diversity, this effect saturates as sweeps become more common—diversity can be maintained even in populations experiencing very strong interference. Our results indicate that for some organisms the rate of adaptive substitution may be primarily recombination-limited, depending only weakly on the mutation supply and the strength of selection

State and irrigation: archeological and textual evidence of water management in late Bronze Age China

Ancient China remains an important case to investigate the relationship between statecraft development and ‘total power.’ While important economic and social developments were achieved in the late Neolithic, it was not until the late Bronze Age (first millennium BC) that state-run irrigation systems began to be built. Construction of large-scale irrigation projects, along with walls and defensive facilities, became vital to regional states who were frequently involved in chaotic warfare and desperate to increase food production to feed the growing population. Some of the irrigation infrastructures were brought into light by recent archeological surveys. We scrutinize fast accumulating archeological evidence and review rich historical accounts on late Bronze Age irrigation systems. While the credibility of historical documents is often questioned, with a robust integration with archeological data, they provide important information to understand functions and maintenance of the irrigation projects. We investigate structure and organization of large-scale irrigation systems built and run by states and their importance to understanding dynamic trajectories to social power in late Bronze Age China. Cleverly designed based on local environmental and hydrological conditions, these projects fundamentally changed water management and farming patterns, with dramatic ecological consequences in different states. Special bureaucratic divisions were created and laws were made to further enhance the functioning of these large-scale irrigation systems. We argue that they significantly increased productivity by converting previously unoccupied land into fertile ground and pushed population threshold to a new level. A hypothesis should be tested in further archeological research

Ritual or lethal? Bronze weapons in late Shang China

Large-scale bronze production is one of the most salient features of late Shang China (c.1200–1050 BC). Copper-alloy weapons were cast in extraordinary quantities and varieties as shown by the rich burial assemblages known from the period. However, their practical usages are not yet well-understood, and scholars speculate whether the weapons were functional implements or symbolic/prestige items. The chapter discusses the first wear analysis ever undertaken on Chinese Shang weaponry. The analysis has revealed a number of marks, which shed light on the manufacturing process, use, deposition and post-recovery alterations of the weapons. It has also challenged traditional typological classification of Shang weapons and argues for a holistic approach to weapon studies in Chinese archaeology

The confounding Mandarin colour term ‘qīng’: Green, blue, black or all of the above and more?

10.1007/978-981-32-9979-5_6Studies in Ethnopragmatics, Cultural Semantics, and Intercultural Communication: Minimal English (and Beyond)95-11