Evolved polygenic herbicide resistance in Lolium rigidum by low-dose herbicide selection within standing genetic variation

The interaction between environment and genetic traits under selection is the basis of evolution. In this study, we have investigated the genetic basis of herbicide resistance in a highly characterized initially herbicide-susceptible Lolium rigidum population recurrently selected with low (below recommended label) doses of the herbicide diclofop-methyl. We report the variability in herbicide resistance levels observed in F1 families and the segregation of resistance observed in F2 and back-cross (BC) families. The selected herbicide resistance phenotypic trait(s) appear to be under complex polygenic control. The estimation of the effective minimum number of genes (NE), depending on the herbicide dose used, reveals at least three resistance genes had been enriched. A joint scaling test indicates that an additive-dominance model best explains gene interactions in parental, F1, F2 and BC families. The Mendelian study of six F2 and two BC segregating families confirmed involvement of more than one resistance gene. Cross-pollinated L. rigidum under selection at low herbicide dose can rapidly evolve polygenic broad-spectrum herbicide resistance by quantitative accumulation of additive genes of small effect. This can be minimized by using herbicides at the recommended dose which causes high mortality acting outside the normal range of phenotypic variation for herbicide susceptibility

Development of the Binary Number System and the Foundations of Computer Science

This paper discusses the formalization of the binary number system and the groundwork that was laid for the future of digital circuitry, computers, and the field of computer science. The goal of this paper is to show how Gottfried Leibniz formalized the binary number system and solidified his thoughts through an analysis of the Chinese I Ching. In addition, Leib-niz’s work in logic and with computing machines is presented. This work laid the foundation for Boolean algebra and digital circuitry which was continued by George Boole, Augustus De Mor-gan, and Claude Shannon in the centuries following. Some have coined Leibniz the world’s first computer scientist, and this paper will attempt to demonstrate a validation of this conjecture

Dynamical Models in Quantitative Genetics

In this paper the author investigates models in quantitative genetics and shows that under quite reasonable assumptions the dynamics can display rather counter-intuitive behavior. This research was conducted as part of the Dynamics of Macrosystems Feasibility Study in the System and Decision Sciences Program

Violation of Equivalence Principle and Solar Neutrinos

We have updated the analysis for the solution to the solar neutrino problem by the long-wavelength neutrino oscillations induced by a tiny breakdown of the weak equivalence principle of general relativity, and obtained a very good fit to all the solar neutrino data.Comment: 3 pages, 5 figures, uses espcrc2.sty, Talk presented by H. Nunokawa at Europhysics Neutrino Oscillation Workshop (NOW2000), Otranto, Italy, September 9-16, 200

Interpreting selection when individuals interact

A useful interpretation of quantitative genetic models of evolutionary change is that they (i) define a set of phenotypes that have a causal effect on fitness and on which selection acts, and (ii) define a set of breeding values that change as a correlated response to that selection because they covary with the phenotypes. When the expression of one trait causes variation in other traits then there are multiple paths by which a trait can cause fitness variation. Because of this, there are multiple ways in which selection can be defined, and still be consistent with a causal effect of traits on fitness. We use this result to show that genetical theories of natural/kin selection ignore causation and because of this we suggest they shed little light on the nature of selection. When traits expressed by an individual are affected by traits of their social partners (indirect genetic effects), we suggest a causal partitioning that allows selection to be cast in terms of Hamilton's costs and benefits. We show that previous attempts to understand Hamilton's rule in the context of indirect genetic effects either lack generality, or do not adequately describe all the ways in which an individual's actions constitute a cost to the individual or a benefit to its social partner(s). Our results allow us to explore Hamilton's rule in a multitrait setting. We show that evolution always increases inclusive fitness, and when the traits are measured in units of generalised genetic distance evolutionary change in the traits is in the direction in which inclusive fitness increases the fastest. However, we show that Hamilton's rule only holds in a multitrait context when the suite of traits are at equilibrium. When they are out of equilibrium, the conditions for altruism to evolve may be more or less stringent depending on genetic architecture and how costs and benefits are defined.</p