Multitrait restricted and desired gains selection indices designed to change growth and body composition in mice(1)

SUMMARY: Effectiveness of restricted and desired gains index selection to change growth and body composition was tested in mice. Replicate lines were selected within full-sib families as follows: RI, restricted index to increase 12-week body weight (BW) and hind carcass weight (HC) with no change in right epididymal fat pad weight (EF); DG, desired gains index to increase BW and HC and decrease EF and right subcutaneous fat pad weight (SF) in designated proportions; RS, random selection. Realized heritabilities of index units, converted to an individual basis, were 0.65 ± 0.17 in RI and 0.50 ± 0.23 in DG, which exceeded the respective base population estimates of 0.32 ± 0.11 and 0.37 ±0.11, calculated as twice the regression of son on sire. Realized genetic correlation between the two selection index units of 0.87 ± 0.12 was not significantly different from the base population estimate of 0.91 ± 0.21. Realized correlated responses in component traits of the indices did not agree closely with expectation. Possible explanations for these discrepancies include genetic drift, weak selection intensity, discrepancies between estimated and true genetic parameters and changes in genetic parameters due to selection. Antagonistic selection for multiple traits may magnify the importance of these factors. ZUSAMMENFASSUNG: Restringierte und erwünschte genetische Fortschritte zur Ver?nderung von Wachstum und K?rperzusammensetzung von M?usen Die Wirksamkeit restraingierter und erwünschter Fortschritt-Indexselektionsver?nderung von Wachstum und K?rpergewicht wurde bei M?usen geprüft. Wiederholungslinien wurden innerhalb Vollgeschwisterfamilien folgenderma?en selektiert: RI, restringierter Index zur Steigerung des 12-Wochengewichtes (BW), Schlachtk?rperh?lfte (HC) ohne ?nderung des rechten Nebenhodenfettgewichts (EF); TG, erwünschter Zuchtfortschrittindex zur Steigerung von BW und HC und Verminderung von EF des rechten subkutanen Fettanteils (SF) in erwünschten Verh?ltnissen; RS Zufallsselektion. Realisierte Heritabilit?tswerte im Index, auf individuelle Basis umgerechnet, waren 0,65 ±0,17 bei RI und 0,50 ± 0,23 bei DG, die die diesbezüglichen Basispopulationssch?tzungen von 0,23 ±0,11 und 0,37 ±0,11 übertrafen. Diese wurden als die doppelte Regression von Sohn auf Vatertier berechnet. Realisierte genetische Korrelationen zwischen den zwei Selektionsindexeinheiten von 0,87 unterschieden sich nicht signifikant vom Basispopulationswert 0,91 ± 0,21. Realisierte korrelierte Selektion-sreaktionen in den Teilmerkmalen der Indices haben mit den Erwartungswerten nicht gut übereingestimmt. M?gliche Erkl?rung für diese Abweichung beinhalten genetische Drift, schwache Selektionsintensit?t, Nichtübereinstimmung zwischen gesch?tzten und wahren genetischen Parametern und Ver?nderungen in diesen durch Selektion. Antagonistische Selektion für mehrere Merkmale k?nnte die Bedeutung dieser Faktoren steigern.     

A comparison of infectious bronchitis virus hemagglutination-inhibition test procedures

Replicate hemagglutination-inhibition (HI) tests of selected convalescent and hyperimmune infectious bronchitis virus (IBV) antisera were run against five IBV antigens: Massachusetts 41, Connecticut 46, H52, Arkansas 99, and JMK. Six different HI test procedures were included in this comparison to evaluate the effect of procedural differences on HI titers. The results were similar among procedures to the extent that positive and negative reactions were differentiated by each procedure with each antigen. This indicated that specificity was not affected by the procedure. However, the mean titers did differ among procedures in tests of the same serum-antigen combination, and the range of the titer differences was frequently fourfold or greater. Generally, high or low titers were associated with specific procedures, regardless of which test antigen was used.     

Estimation of genetic gains in populations with overlapping generations

A technique for estimating genetic improvement from an “internal genetic control” was developed for populations which fulfil the following requirements: (1) The population can be divided into distinct subpopulations (e.g. sire families or inbred lines) with several sets of offspring such as hatches or litters produced during the life‐span of each subpopulation. (2) The replacement of subpopulations or breeders in the selection programme takes place more or less continuously to provide overlapping generations. (3) The effect of ageing of the parents on progeny performance can be measured.

The genetic change in such populations independent of environmental time trends can be estimated directly from the breeding data without any need for a separate control population.

The technique was applied to a practical meat‐type poultry breeding operation to yield an estimated annual genetic improvement of 100 g body weight for each bird at 9 weeks of age.     

Efficiency of selection methods for increased ratio of pupal-larval to adult-larval weight gains in Tribolium

SUMMARY: Four lines of Tribolium castaneum were selected in each of three replicates for increased ratio of (pupal-larval) to (adult-larval) weight gains, using selection for increased (pupal-larval) weight gain (PL), selection for decreased (adult-larval) weight gain (AL), direct selection for the ratio (R) and linear selection index of larval, pupal and adult weights (I), respectively, for four generations. Linear index was calculated with economic weights of m(2) -m(3) , m(3) -m(1) and m(1) -m(2) , respectively, with m(1) , m(2) and m(3) being the means for larval, pupal and adult weights. Selection to increase the ratio is considered to be a method to maximize the mean response in (adult-larval) weight while controlling the response in (pupal-adult) weight, and as a form of antagonistic selection to increase the weight gain during a given age period relative to the gain at another age period. Larval, pupal and adult weights were measured at 14, 21 and 28 days after adult emergence, respectively. The selected proportion was 20 % in all lines. The response observed for the ratio differed significantly among lines (p < 0.01), with the I and AL lines having the greatest responses. Line R was less effective in improving the objective of selection, while line PL appeared to be inappropriate. The observed responses for the numerator and denominator weight gains were positive in line PL, and negative in the AL, R and I lines. All lines apart from line PL decreased the (adult-larval) weight, holding (pupal-adult) weight constant. Larval weight showed the greatest influence on the response for the objective of selection. The results for this greater than 1 ratio are compared with results of others for smaller than 1 ratios, in which indirect selection for increased numerator is the more efficient alternative to the selection index. ZUSAMMENFASSUNG: Effizienz Selektionsverfahren zur Verbesserung des Quotienten der Gewichtsentwicklung zwischen Puppe/Larve und K?fer/Larve bei Tribolium. In den jeweils drei Versuchsserien zur Erh?hung des Quotienten (Gewicht von Puppe-Larve/Gewicht von K?fer-Larve) wurden vier Versuchsreihen von Tribolium castaneum untersucht: die Versuchsreihe PL wurde gew?hlt um die Differenz (Puppengewicht-Larvengewicht) zu erh?hen, die Versuchsreihe AL wurde gew?hlt um die Differenz (K?fergewicht-Larvengewicht) zu reduzieren, die Versuchsreihe R wurde direkt für den Koeffizienten gew?hlt und die Auswahl der Versuchsreihe I erfolgte über einen linearen Index, errechnet aus dem Gewicht von Larven, Puppen und K?fern über vier Generationen. Der lineare Index wurde berechnet aus den Gewichten von (m(2) -m(3) ), (m(3) -m(1) ) bzw. (m(1) -m(2) ), wobei m(1) , m(2) und m(3) die Mittelwerte für das Gewicht von Larven, Puppen bzw. K?fern sind. Die Auswahl zur Erh?hung des Quotienten ist eine Methode zur Maximierung des Durchschnittsgewichtsverh?ltnisses K?fer/Larve, sowie eine antagonische Auswahlform zur Erh?hung der Gewichtszunahme w?hrend einer bestimmten Wachstumsperiode im Vergleich zur Gewichtszunahme w?hrend einer anderen Wachstumsperiode. Das Selektionsverh?ltnis belief sich auf 20%. Die beim Quotienten beobachtete Antwort wies bedeutende Unterschiede zwischen Versuchsreihen auf (p < 0.01), wobei die h?chsten Antworten bei den Versuchsreihen I und AL beobachtet wurden. Versuchsreihe R war am wenigsten effektiv, w?hrend Versuchsreihe PL nicht geeignet schien, das Auswahlziel zu verbessern. Die bei Nenner und Z?hler beobachteten Antworten waren positiv bei der Versuchsreihe PL und negativ bei den anderen drei Versuchsreihen. Die Ergebnisse für diesen Quotient gr??er als 1 wurden mit denen anderer Versuche für Quotienten kleiner als 1 verglichen, bei denen die Auswahl zur Erh?hung des Z?hlers die effizienteste Alternative zum Auswahlindex ist. RESUMEN: Eficiencia de métodos de selección para incrementar el cociente entre la ganancia en peso de pupa-peso de larva y la ganancia en peso de adulto-peso de larva en Tribolium Cuatro líneas de Tribolium castaneum fueron seleccionadas en cada una de tres repeticiones para incrementar el cociente (peso de pupa-peso de larva)/(peso de adulto-peso de larva); la línea PL fue seleccionada para aumentar la diferencia (peso de pupa-pesp de larva), la línea AL fue seleccionada para disminuir la diferencia (peso de adulto-peso de larva), fa línea R fue seleccionada directamente para el cociente, y la línea I fue seleccionada por medio de un índice lineal basado en los pesos de larva, pupa y adulto, durante cuatro generaciones. El índice lineal se calculó con pesos económicos de (m(2) -m(3) ), (m(3) -m(1) ), y (m(1) -m(2) ) respectivamentee, siendo m(1) , m(2) , y m(3) los valores medios para el peso de larva, pupa y adulto. La selección para aumentar el cociente indicado es un método para maximizar la respuesta en (peso de adulto-peso de larva) controlando al tiempo la respuesta en (peso de pupa-peso de adulto), y es una forma de selección antagónica para aumentar la ganancia de peso durante un periodo de edad en relación con la ganancia en peso durante otro periodo. La proporción de selección due el 20 %. La respuesta observada en el cociente difería significativamente entre lineas (p < 0.01), teniendo las líneas I y AL las mayores respuestas. La línea R fue menos efectiva, mientras que la línea PL parecía inapropiada para mejorar el objetiyo de selección. Las respuestas observadas en el denominador y en el numerador fueron positivas en la línea PL, y negativas en las otras tres líneas. Los resultados para este cociente mayor que 1 se comparan con los de otros experimentos para cocientes menores que 1, en los que la selección para incrementar el numerador es la alternativa más eficiente al índice de selección.     

A comparison of catecholamine and cortisol responses of young lambs and calves to painful husbandry procedures

AIM: To compare the changes in plasma concentrations of noradrenaline, adrenaline and cortisol in lambs after ring castration plus tailing and in calves after dehorning with or without prior local anaesthesia. METHODS: Male lambs were castrated and tailed with rings and calves were dehorned by amputation using a scoop with or without prior local anaesthesia. Blood samples were taken before and after treatment and plasma concentrations of noradrenaline, adrenaline and cortisol were determined. RESULTS: Castration plus tailing of lambs resulted in a rapid increase in noradrenaline concentrations, a lack of an adrenaline response and a marked increase in cortisol concentration. There were similar changes in catecholamine concentrations in calves that were dehorned both with and without local anaesthetic, with adrenaline being elevated within 5 min of treatment and noradrenaline exhibiting a more protracted response. Dehorning caused a marked cortisol increase which was reduced to control concentrations by local anaesthesia for as long as the associated nerve blockade lasted. CONCLUSIONS: The very short-lived adrenaline responses in calves were attributed to dehorning-induced nociceptor input leading to sympathetic stimulation of the adrenal medulla. The longer lasting noradrenaline responses in lambs and calves were thought be due to 'wash-out' of noradrenaline from damaged tissue associated with rings and amputation wounds, respectively.     

Maximizing genetic gain over multiple generations with quantitative trait locus selection and control of inbreeding

Stochastic computer simulation was used to investigate the potential extra genetic gains obtained from gene-assisted selection (GAS) by combining 1) optimization of genetic contributions for maximizing gain, while restricting the rate of inbreeding with 2) optimization of the relative emphasis given to the QTL over generations. The genetic model assumed implied a mixed inheritance model in which a single quantitative trait locus (i.e., QTL) is segregating together with polygenes. When compared with standard GAS (i.e., fixed contributions and equal emphasis on the QTL and polygenic EBV), combined optimization of contributions of selection candidates and weights on the QTL across generations allowed substantial increases in gain at a fixed rate of inbreeding and avoided the conflict between short- and long-term responses in GAS schemes. Most of the increase of gain was produced by optimization of selection candidates' contributions. Optimization of the relative emphasis given to the QTL over generations had, however, a greater effect on avoiding the long-term loss usually observed in GAS schemes. Optimized contribution schemes led to lower gametic phase disequilibrium between the QTL and polygenes and to higher selection intensities both on the QTL and polygenes than with standard truncation selection with fixed contributions of selection candidates.     

The sensitivity of predicted financial and genetic gains in Holsteins to changes in the economic value of traits

The objective of this study was to assess the impact of using different relative economic values (REVs) in selection indices on predicted financial and trait gains from selection of sires of cows and on the choice of leading Holstein bulls available in the UK dairy industry. Breeding objective traits were milk yield, fat yield, protein yield, lifespan, mastitis, non‐return rate, calving interval and lameness. Relative importance of a trait, as estimated by a.h², was only moderately related to the rate of financial loss or total economic merit (ΔTEM) per percentage under‐ or overestimation of REV (r = 0.38 and 0.29, respectively) as a result of the variance–covariance structure of traits. The effects on TEM of under‐ or overestimating trait REVs were non‐symmetrical. TEM was most sensitive to incorrect REVs for protein, fat, milk and lifespan and least sensitive to incorrect calving interval, lameness, non‐return and mastitis REVs. A guide to deciding which dairy traits require the most rigorous analysis in the calculation of their REVs is given. Varying the REVs within a fairly wide range resulted in different bulls being selected by index and their differing predicted transmitting abilities would result in the herds moving in different directions in the long term (20 years). It is suggested that customized indices, where the farmer creates rankings of bulls tailored to their specific farm circumstances, can be worthwhile.     

Change in genetic correlation due to selection using animal model evaluation

SUMMARY: Monte Carlo simulation and analytical calculations were used to study the effect of selection on genetic correlation between two traits. The simulated breeding program was based on a closed adult multiple ovulation and embryo transfer nucleus breeding scheme. Selection was on an index calculated using multi-trait animal model (AM). Analytical formulae applicable to any evaluation method were derived to predict change in genetic (co)variance due to selection under multi-trait selection using different evaluation methods. Two formulae were investigated, one assuming phenotypic selection and the other based on a recursive two-generation AM selection index. The recursive AM method approximated information due to relatives by a relationship matrix of two generations. Genetic correlation after selection was compared under different levels of initial genetic and environmental correlations with two different selection criteria. Changes in genetic correlation were similar in simulation and analytical predictions. After one round of selection the recursive AM method and the simulation gave similar predictions while the phenotypic selection predicted usually more change in genetic correlation. After several rounds of selection both analytical formulae predicted more change in genetic correlation than the simulation. ZUSAMMENFASSUNG: ?nderung der genetischen Korrelation bei Selektion mit einem Tiermodell Der Selektionseffekt auf die genetische Korrelation zwischen zwei Merkmalen wurde mit Hilfe von Monte Carlo-Simulation und analytischen Berechnungen untersucht. Ein geschlossener Adulter - MOET (Multiple Ovulation and Embryo Transfer) Zuchtplan wurde simuliert. Die Selektion gründete sich auf einen Index, der die Zuchtwertsch?tzung des Mehrmerkmals-Tiermodells benutzte. Analytische Formeln für die Voraussage der ?nderung der genetischen (Ko)varianz unter multivariate Selektion für verschiedene Zuchtwertsch?tzungsmethode wurden deduziert. Zwei Formeln wurden studiert, die erste nahm ph?notypische Auswahl an und die andere gründete sich auf ein wiederholte Mehrmerkmals-Tiermodell von zwei Generationen. Das wiederholte Mehrmerkmals-Tiermodell approximierte die Information aus den Verwandten mit Hilfe einer Verwandtschaftsmatrix der zwei Generationen. Die genetische Korrelation nach der Selektion aus der Simulation und den analytischen Formeln wurde mit verschiedenen reellen genetischen und umweltbedingten Korrelationen mit zwei Selektionskriterien verglichen. Sie ?nderte sich ?hnlich bei Simulation und analytischen Formeln. Nach einem Selektionszyklus kamen das wiederholte Mehrmerkmals-Tiermodell und die Simulation zu gleichen Voraussagen, aber die ph?notypische Selektion sagte mehr ?nderung voraus. Nach mehreren selektierten Generationen sagten die beiden analytischen Formeln mehr ?nderung in der genetischen Korrelation voraus als die Simulation. RéSUMé: Changement de corrélation génétique du à la sélection en utilisant une évaluation de type modèle animal Une simulation Monte Carlo et des calculs analytiques ont été utilisés pour étudier l'effet de la sélection sur la corrélation génétique entre deux caractères. Le programme de sélection simulé a été basé sur le schéma d'un noyau de sélection adulte et fermé avec superovulation et transfert embryonnaire. La sélection portait sur un indice calculé à partir d'un modèle animal multicaractères (AM). Des formules analytiques applicables à n'importe quelle méthode d'évaluation ont été développées pour prédire le changement de (co)variance génétique du à la sélection multicaractères en utilisant différentes méthodes d'évaluation. Deux formules ont été étudiées, l'une supposant une sélection phénotypique et l'autre basée sur un index de sélection de type AM sur deux générations. La méthode AM récurrente prenait en compte l'information des apparentés de manière approximative à travers la matrice de parenté sur deux générations. La corrélation génétique après sélection a été comparée à différents niveaux de corrélations génétique et environnementale pour deux critères de sélection différents. Les changements de corrélation génétique étaient similaires dans les simulations et les prédictions analytiques. Après un cycle de sélection, la méthode récurrente AM et la simulation donnaient les prédictions similaires alors que la sélection phénotypique prédisait habituellement des changements de corrélations génétiques plus importants. Après plusieurs cycles de sélection, les deux formules analytiques prédisaient des changements de corrélation plus importants que la simulation. RéSUMé: Cambio en la correlación genética debido a selección usando evaluaciones con modelo animal Se estudió el efecto de la selección sobre la correlación genética entre dos caracteres utilizando simulación de Monte Carlo y cálculos analíticos. El esquema de selección simulado estuvo basado en un núcleo adulto y cerrado de ovulación multiple y transferencia de embriones. El criterio de selección fue un indice calculado a partir de un modelo animal multicarácter (AM). Se derivaron fórmulas analíticas aplicables a cualquier método de evaluación para predecir cambios debidos a selección en las (co)varianzas genéticas bajo selección multicarácter usando distintos métodos de valoración. Se investigaron dos fórmulas, una que asumía selección fenotípica y la otra basada en un índice de selección AM recurrente con dos generaciones. El método AM recurrente aproximaba la información de parientes a través de una matriz de relaciones aditivas que contemplaba dos generaciones. La correlación genética tras la selección fue comparada bajo distintos niveles de correlación genética y ambiental iniciales con dos criterios de selección diferentes. Los cambios en correlatión genética fueron similares en las predicciones analíticas y con simulación. Tras un ciclo de selección, el método AM recurrente y la simulación produjeron predicciones similares mientras que la selección fenotípica predijo, generalmente, más cambio en la correlación genética. Después de varios ciclos de selección, las dos fórmulas analíticas predijeron más cambios en la correlación genética que la simulación.     

主要营养物质对基因表达的调控

主要营养物质碳水化合物、氨基酸、脂肪酸在许多基因的表达调控中发挥着重要作用。通过综述近年来有关日粮营养成分影响动物基因表达的研究报道说明，人们试图通过改变日粮营养成分来达到调控动物生产的愿望是可行的。     

Merino sheep breed's genetic resistance to scrapie: genetic structure and comparison of five eradication strategies

Three thousand one hundred and ninety-three Merino-breeding males were genotyped for Scrapie-resistance gene. They showed a high frequency of ARQ allele while VRQ allele frequency, linked to the highest susceptibility, was close to 0. Alleles linked to Scrapie-susceptibility frequencies have been studied in different Merino flocks. Most of the variability is intraflock, not interflock. In addition, there is an excess of heterozygotes due to crossbreeding or Wahlund effect.

Five control and prevention strategies were studied: first genotyping males and females and eliminating VRQ carriers and ARQ/ARQ rams; second genotyping males and females and eliminating VRQ carriers; third genotyping males and eliminating VRQ carriers and ARQ/ARQ rams; fourth genotyping males and using only as breeders ARR/ARR, ARR/AHQ, AHQ/AHQ and ARQ/ARQ rams; fifth genotyping males and using only as breeders ARR/ARR, ARR/AHQ and AHQ/AHQ rams. They were simulated from allelic and genotypic frequencies to decide which animals had to be genotyped and which animals had to be eliminated due to their genotypes and risk levels. The third option, to genotype rams and to eliminate ARQ/ARQ and VRQ carriers, would be the best strategy to improve the resistance and would cause minimal cost and loss of animals.     

Efficient Monte Carlo algorithm for restricted maximum likelihood estimation of genetic parameters

Monte Carlo (MC) methods have been found useful in estimation of variance parameters for large data and complex models with many variance components (VC), with respect to both computer memory and computing time. A disadvantage has been a fluctuation in round‐to‐round values of estimates that makes the estimation of convergence challenging. Furthermore, with Newton‐type algorithms, the approximate Hessian matrix might have sufficient accuracy, but the inaccuracy in the gradient vector exaggerates the round‐to‐round fluctuation to intolerable. In this study, the reuse of the same random numbers within each MC sample was used to remove the MC fluctuation. Simulated data with six VC parameters were analysed by four different MC REML methods: expectation‐maximization (EM), Newton–Raphson (NR), average information (AI) and Broyden's method (BM). In addition, field data with 96 VC parameters were analysed by MC EM REML. In all the analyses with reused samples, the MC fluctuations disappeared, but the final estimates by the MC REML methods differed from the analytically calculated values more than expected especially when the number of MC samples was small. The difference depended on the random numbers generated, and based on repeated MC AI REML analyses, the VC estimates were on average non‐biased. The advantage of reusing MC samples is more apparent in the NR‐type algorithms. Smooth convergence opens the possibility to use the fast converging Newton‐type algorithms. However, a disadvantage from reusing MC samples is a possible “bias” in the estimates. To attain acceptable accuracy, sufficient number of MC samples need to be generated.     

Genetic selection and conservation of genetic diversity*

For 100s of years, livestock producers have employed various types of selection to alter livestock populations. Current selection strategies are little different, except our technologies for selection have become more powerful. Genetic resources at the breed level have been in and out of favour over time. These resources are the raw materials used to manipulate populations, and therefore, they are critical to the past and future success of the livestock sector. With increasing ability to rapidly change genetic composition of livestock populations, the conservation of these genetic resources becomes more critical. Globally, awareness of the need to steward genetic resources has increased. A growing number of countries have embarked on large scale conservation efforts by using in situ, ex situ (gene banking), or both approaches. Gene banking efforts have substantially increased and data suggest that gene banks are successfully capturing genetic diversity for research or industry use. It is also noteworthy that both industry and the research community are utilizing gene bank holdings. As pressures grow to meet consumer demands and potential changes in production systems, the linkage between selection goals and genetic conservation will increase as a mechanism to facilitate continued livestock sector development.     

The use of mathematical programming to control inbreeding in selection schemes

Selection on the best estimate of the breeding value of individuals should, in large populations, provide the maximal response in breeding value. However, many breeders deal with the selection of small numbers of animals from relatively small populations and therefore there is a trend for inbreeding to rise because of genetic drift. Moreover, as the evaluation of candidates is traditionally based on methodologies including information from relatives [selection indices, best linear unbiased predictor (BLUP)] more individuals are selected from the best families and so closely related individuals will generate most of the offspring. This effect is more important for traits with low heritability as phenotype gives little information on the breeding value of the individuals and more weight is given to relatives’ data. The need for controlling inbreeding refers not only to a better use of the genetic variability available and to a reduced inbreeding depression in the selected trait, but also to a reduced depression of fitness-related traits, which may be the most serious drawback at present due to the increase in inbreeding in domestic populations (M euwissen and W oolliams 1994). In recent years considerable work has been carried out on the design of strategies to maintain genetic diversity in selection programmes. These strategies are aimed at simultaneously optimizing genetic gain and inbreeding, either by reducing the rate of inbreeding (or variance of response) while keeping genetic gains at a predetermined level, or by increasing selection response under a restriction on inbreeding (or on variance of response). Following T oro and P& eacute ; rez -E nciso (1990) the different strategies can be classified according to the factor on which they act: (i) the selection criterion used; (ii) the mating system imposed; (iii) the number of selected individuals and their contribution to the next generation. The first group of strategies proposes the use of a suboptimal selection criterion that reduces the weight given to family information or the use of an upward-biased heritability in BLUP evaluation (T oro and P& eacute ; rez -E nciso 1990; see G rundy et al. 1998a for the latest development of this idea). The second group of strategies proposes action on the mating system including factorial mating designs, minimum co-ancestry mating (using linear programming) or compensatory mating (see review by C aballero et al. 1996). The third group of strategies includes the ones considered in the present work. The first possibility is to modify the contribution of the selected individuals of generation t to the selected individuals of generation t + 1, by practising some form of within-family selection with respect to BLUP values. Two strategies of this type were considered: modified within-family selection (MWFS) and restricted co-ancestry selection (RCS). The second possibility is to modify the contribution of the selected individuals of generation t to the evaluated individuals of generation t + 1 (instead of to the selected individuals) by a strategy called weighted selection (T oro and N ieto 1984). Three strategies were considered in this case: weighted selection (WS), restricted co-ancestry weighted selection (RCWS) and pair weighted selection (PWS). More specifically, the aim of the present paper is to show how these five strategies can be implemented using mathematical programming techniques. A small example comparing all of these strategies with standard truncation selection (TS) is also given for illustration.     

Divergent selection for fleece weight in French Angora rabbits: Non-genetic effects, genetic parameters and response to selection

In order to explore genetic variability of wool production and other quantitative traits, an 8-cohort divergent selection experiment for total fleece weight (TFW) was carried out in French Angora rabbits. Studies were made on the wool production of 669 female rabbits born between 1994 and 2001 and having produced wool from the third to 12th harvests. The aim of the selection experiment was to obtain two divergent lines (low and high) on total fleece weight. The studied traits included total fleece weight, weight of the two qualities of wool (WAJ1 and WAW1), homogeneity (HOM), live body weight at ages of 4 (LW4), 8 (LW8), 12 (LW12), 16 (LW16), and 20 (LW20) weeks and then 9 weeks before each harvest (9LW). A preliminary analysis of non-genetic factors was done with the GLM procedure. The genetic parameters and genetic trends were analysed using a BLUP animal model. Heritability estimates for TFW, WAJ1, WAW1, HOM, LW4, LW8, LW12, LW16, LW20 and 9LW were 0.38, 0.30, 0.10, 0.06, 0.30, 0.09, 0.14, 0.32, 0.39 and 0.45, respectively. Genetic and phenotypic correlations between TFW and WAJ1 were high (0.98 ± 0.01 and 0.89 ± 0.01, respectively). There was a low genetic correlation between TFW and 9LW (0.26 ± 0.12). After eight cohorts of selection, the divergence between the lines was approximately three genetic standard deviations. Selection for total fleece weight had a generally beneficial effect on fleece quality.