scholarly journals The existence of linear selection and the quotient lifting property

Author(s):  
Monika ◽  
Fernanda Botelho ◽  
Richard Fleming
Keyword(s):  
Author(s):  
N. M. Kostomakhin ◽  
T. N. Pimkina ◽  
O. A. Voronkova ◽  
M. A. Gabedava ◽  
E. G. Cheremukha

Dairy cattle breeding have always occupied and will continue to occupy one of the leading places in the agro-industrial complex in our country. The most eff ective method of improving existing breeds according to opinion of a number of scientists is selection in line breeding. At the same time the evaluation of breeding sires by the quality of offspring is the cornerstone of breeding work. The purpose of the research was to analyze the influence of breeding sires, as well as their linear affiliation on the economically useful characteristics of first-calf heifers under specific conditions of maintenance and use. An analysis of the milk productivity and reproductive traits of first-calf heifers of different origin by sires and different line belonging has been presented in the article. The results of intra-linear selection and crosses of genealogical lines and their influence on the productive and reproductive traits of first-calf heifers have been evaluated. The research was carried out in LLC “Green Lines-Kaluga” of the Kaluga region. It has been established that for fixing in the genotype of the offspring of plentiful milk and fat milk in purebred breeding, it is necessary to use the following sires: Aragon 2102, Tabor 1292, Lira 2047, Phlox 1448, Chudny 1167, Yalik 397, Tabun 1277, as well as intra-linear selection in the line of Montwick Chieftain 9567929 and crosses of lines in combinations: Siling Traijun Rocket 252803 – Reflection Sovereign 198998 and Wes Ideal 933122 – Siling Traijun Rocket 252803. In order to reduce the age of the first insemination of maternal stock we recommend using a combination of lines: Wes Ideal 933122 – Montwick Chieftain 9567929, Wes Ideal 933122 – Reflection Sovereign 198998, Montwick Chieftain 9567929 – Wes Ideal 933122, Montwick Chieftain 9567929 – Reflection Sovereign 198998 and Siling Trijun Rocket 252803 – Wes Ideal 933122.


1995 ◽  
Vol 61 (1) ◽  
pp. 165-175 ◽  
Author(s):  
J. C. M. Dekkers ◽  
P. V. Birke ◽  
J. P. Gibson

AbstractA method to obtain linear selection indexes that maximize objectives that involve average profit in one or more generations within a planning horizon based on non-linear profit functions, was derived through application of optimal control theory. The method involves simultaneous optimization of indexes for each generation in the planning horizon. Optimum linear indexes were found to be conform indexes derived from selection index theory, with economic values equal to a weighted sum of partial derivatives of the profit function at the trait means which result in each generation of the planning horizon. Numerical procedures to derive optimum indexes are presented. Methods and properties of alternative strategies for selection witli non-linear profit functions are illustrated for selection on egg weight and rate of lay in poultry. In the example, the additional benefit of selection indexes that maximize cumulative net present value of profit over a planning horizon of10 years was small relative to use of traditional selection procedures. Optimal indexes were also derived with a derivative-free non-linear programming optimizer, with identical results. The latter method also allows incorporation of additional constraints.Possible extensions of the optimal control methodology to address other problems related to optimization of selection over multiple generations are discussed.


2019 ◽  
Vol 127 (4) ◽  
pp. 810-825
Author(s):  
Monique Nouailhetas Simon ◽  
Renata Brandt ◽  
Tiana Kohlsdorf ◽  
Stevan J Arnold

Abstract Traits that interact to perform an ecologically relevant function are expected to be under multivariate non-linear selection. Using the lower jaw morphology as a biomechanical model, we test the hypothesis that lower jaw bones of lizards are subjected to stabilizing and correlational selection, associated with mechanical advantage and maximum bite force. We used three closely related tropidurine species that differ in size, head shape and microhabitat: Eurolophosaurus nanuzae, Tropidurus hispidus and Tropidurus semitaeniatus. We predicted a common pattern of correlational selection on bones that are part of in-levers or part of the out-lever of the lower jaw. The predicted pattern was found in E. nanuzae and T. hispidus, but this could not be shown to be statistically significant. For T. semitaeniatus, we found significant disruptive selection on a contrast involving the surangular, and also significant directional selection on linear combinations of traits in all species. The results indicate that the non-linear selection on lower jaw bones does not reflect an optimum to enhance mechanical advantage in all species. Divergent functional demands and specific ecological contexts of species seem relevant in shaping patterns of selection on morphology.


2014 ◽  
Vol 25 (10) ◽  
pp. 1450050 ◽  
Author(s):  
Haifeng Zhang ◽  
Zhen Jin ◽  
Binghong Wang

The local majority rule is extensively accepted as a paradigmatic model to reflect the formation of opinion. In this paper, we study a model of opinion formation where opinion update rule is not based on the majority rule or linear selection probability but on a strengthen selection probability controlled by an adjustable parameter β. In particular, our proposed probability function can proximately fit the two extreme cases–linear probability function and majority rule or in between the two cases under different values of β. By studying such model on different kinds of networks, including different regular networks and complex networks, we find that there exists an optimal value of β giving the most efficient convergence to consensus regardless of the topology of networks. This work reveals that, compared with the majority rule and linear selection probability, the strengthen selection probability might be a more proper model in understanding the formation of opinions in society.


Author(s):  
Keith McLuckie ◽  
Angus Barber
Keyword(s):  

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