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USDA, ARS, Fort Keogh Livestock and Range Research Laboratory, Miles City, MT 59301
| Abstract |
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Key Words: Beef Cattle Genetic Gain Selection Index Selection Responses
| Introduction |
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Whereas estimates of genetic parameters for components of the index and weights at other ages are relatively commonplace, experimental evaluation of predicted selection responses is lacking. Thus, the primary objective of this research was to evaluate responses to genetic selection based on the index. Genetic parameters for the index, its components, and other growth traits were estimated in the course of this evaluation.
| Materials and Methods |
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At Fort Keogh Livestock and Range Research Laboratory, annual precipitation averages 34 cm, with 21 cm received during March to July. Average temperatures range from -9°C in January to 23°C in July. The terrain is broken badlands and plains rangelands typical of the Northern Great Plains of the United States. Vegetation is predominantly western wheatgrass, blue gramma grass, buffalo grass, needle-and-thread, green needle grass, annual brome grasses, threadleaf sedge, greasewood, silver sagebrush, and fringe sagewort. Stocking rate is approximately one cow per 14 ha, with supplemental feed required during winter.
A 45-d breeding season began on approximately June 15 of each year. Cows were exposed for breeding in single-sire pastures until approximately August 1. In 1989 and 1990, yearling heifers and bulls were sent to the U.S. Sheep Experiment Station (Dubois, ID) for a mixed-species grazing trial. Mating occurred during the trial and all animals were returned to Miles City in late August of those years. After the breeding season, cows were grouped into two herds and grazed on native range until vegetation was covered by snow. Cows were weighed and pregnancy tested when their calves were weaned in early October. Nonpregnant females were culled. In preparation for calving, cows were moved to small pastures and fed approximately 9 kg of alfalfa hay per cow daily. As calving approached, first-calf heifers were observed periodically throughout each day. Older cows were observed only during daylight hours.
Calves were born primarily during late March, April, and early May. Male calves were not castrated and creep feed was not available to the calves. Calves were weaned at an average age of approximately 180 d. After weaning, calves were moved to a feedlot for a 140-d evaluation of postweaning growth. Before the test period began, the calves were allowed a pretest adjustment period of 2 to 4 wk following weaning. Bull calves were fed a ration that was formulated to support an average growth rate of 1.4 kg/d. The energy density of the ration was approximately 2.7 Mcal/kg. Crude protein content was approximately 12%. Primary ingredients in the ration were corn silage, barley, and a protein and mineral supplement. Heifer calves were fed to gain 0.8 kg/d. The approximate energy density and CP content of the diet were 2.4 Mcal/kg and 9%, respectively. Calves were weighed twice at the beginning and at the end of the postweaning test period. Birth weight and gain from birth to weaning were adjusted for differences in age of dam following the results of Newman et al. (1993b)
. Multiplicative adjustment factors for birth weight were 1.088, 1.040, and 1.036 for calves with 2-, 3-, and 4-yr-old dams, respectively. Multiplicative adjustment factors for gain from birth to weaning were 1.197, 1.105, and 1.043 for calves with 2-, 3-, and 4-yr-old dams, respectively. Weights of calves from 5-yr-old and older cows were not adjusted. Weaning and yearling weights were adjusted to 200-d and 365-d age-constant bases using the procedures recommended by the BIF (1996)
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In 1988, the population was divided at random into three lines. Bulls for the first line were selected based on the following index: I = 365-d weight -3.2(birth weight) (Dickerson et al., 1974
). Bulls for the second line were selected based on the ratio of their adjusted weaning weight to the coincident mature equivalent weight of their dam. Results from selection on the ratio are discussed in a subsequent paper. Selection decisions were based on phenotypic performance within year. Virtually all selection pressure was applied to males and most females were exposed for breeding as yearlings. Bulls for the third line were selected at random. All bulls were required to pass a breeding soundness examination as yearlings before being used for breeding. Within line, matings were planned to avoid inbreeding of the progeny produced in the next generation, subject to the constraint that approximately equal numbers of females of similar ages were assigned to each sire.
In 1988 and 1989, the process of stabilizing the genetic composition of CGC was ongoing, and only those bulls and cows from Generation 3 or greater contributed to the selection experiment. Hence, numbers of cows and calves in the control and index selection lines were less than their numbers in subsequent years. Numbers of calves born each year are shown in Table 1
. Cows were culled from both the index and control lines when they were not diagnosed pregnant in the fall when their calf was weaned. When necessary to maintain the inventory of cows at approximately 120 per line, older cows were removed from the experiment regardless of their phenotype or progeny performance. In 1995 to 1997, a sample of cows was also removed from the experiment to initiate a project for mapping quantitative trait loci (MacNeil and Grosz, 2002
). Within line, these cows were removed randomly; however, more cows were taken from the control line than from the index-selected line. In general, the experimental design was to use four yearling bulls as sires in each line during each breeding season with one of those sires, selected at random, to be used the next year as a 2-yr-old. In the index selection line, exceptions to the planned design occurred in the 1990 breeding season when nine yearling bulls were used, and in 1996 to 1999 when five yearling bulls were used each year. In the control line, exceptions to the planned design occurred in the 1990 breeding season when nine yearling bulls were used; the 1996 to 1998 breeding seasons when the same six bulls were used; and the 1999 breeding season when four of the six bulls used in 1998 were used again and the other two bulls used in 1998 were replaced by sons. Increasing the number of bulls used per year while reducing the number of cows allowed the effective population size of the control line to remain approximately equal to that of the index selection line during the latter years of this research.
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Genetic parameters were estimated from phenotypes recorded from all animals born between 1980 and 2000. Pedigree information was extended to the founding purebreds, which were assumed to be unrelated. Results from preliminary ANOVA indicated that year of birth, sex of calf, age of dam, and a variety of two-factor interactions among these traits affected the index and its components. Hence, contemporary groups for the birth, 200-d, and 365-d weights and the index were formed as year, sex, and age of dam subclasses for further analyses. Derivative-free multiple-trait REML (Smith and Graser, 1986
; Graser et al., 1987
) methods, as implemented by Boldman et al. (1995)
, were used to predict breeding values upon convergence of estimates of the (co)variance components. Linear models for birth weight (n = 5,083), 200-d weight (n = 4,902), 365-d weight (n = 4,626), and the index (n = 4,626) were similar and included fixed contemporary groups and random direct and maternal additive effects and uncorrelated random maternal permanent environmental effects of the dams. Cows ranged in age from 2 to 11 yr, with an average age of 3.6 yr. For cow weight, contemporary groups were formed as year-age subclasses with cows older than five years coded as being five years of age. There were 1,433 cows with at least one recorded weight and a total of 4,375 observations. The linear model for cow weight included fixed contemporary group effects, random direct additive effects, and uncorrelated random permanent environmental effects associated with repeated records of the cow. Multiple trait analyses, constructed using the models described above, allowed for correlations among the additive effects, among the uncorrelated random effects, and among residual errors. Genetic trends for the index and control lines were estimated from the regression of predicted breeding values on generation numbers of animals born in the respective lines between 1989 and 2000. Standard errors of these regression coefficients are underestimated due to correlations among breeding values arising from repeated use of cows and bulls and also from drift. Results from three sets of analyses are reported here: 1) a single-trait analysis of the index; 2) four two-trait analyses of the index with birth weight, 200-d weight, 365-d weight, and cow weight; and 3) three two-trait analyses of 365-d weight with birth weight, 200-d weight, and cow weight. Results from the multiple trait analyses were used to discern correlated responses to selection and predict the magnitude of responses due to selection based on the index relative to responses that would be expected from selection based on 365-d weight. The multiple-trait derivative-free maximum likelihood method used here involves maximizing the likelihood function (
), given the data and is equivalent to minimizing -2 log
. Each analysis was assumed to have converged when the variance of -2 log
in the simplex was less than 10-10 and the scaled parameter estimates changed by less than 0.01 in a reanalysis of the data using updated starting values.
Following Dodenhoff et al. (1988)
, standard errors of the estimated variance components and scaled parameter estimates were calculated from the inverse of the negative average information matrix considering it to be an asymptotic dispersion matrix of the estimated parameters. Parameter estimates were derived from all recorded phenotypes, as described above. However, to make calculating the average information matrix feasible in multiple-trait analyses, only those records with all the phenotypes measured were used in calculating the standard errors.
| Results and Discussion |
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Selection differentials for calves born in the early years of this experiment reflect the accumulated selection applied in the process of stabilizing the breed composition of CGC. Thus, initial differences in selection differentials between the index and control lines primarily reflect the differences in individual deviations of the selected sires (Table 1
). At the termination of the experiment (i.e., 1999 and 2000), selection differential for the index was approximately 212 kg greater for the index selection line than for the control line. The trend across years in the cumulative selection differentials for birth weight in the index line was not significant. Cumulative selection differentials for both yearling weight and the index increased markedly across years in the index line. In the control line, trends across years were significantly positive for the maternal cumulative selection differentials for birth weight and yearling weight, but not for the index. These trends in the control line were the result of small heifers failing to breed and/or to calve successfully which resulted in their being culled. Similar factors influenced the maternal cumulative selection differentials in the index selection line.
With the single-trait analysis, estimates for direct and maternal heritability of the index were 0.32 ± 0.04 and 0.05 ± 0.02, respectively. The estimated genetic correlation between direct and maternal additive effects was -0.18 ± 0.13. Maternal permanent environmental effects and residual effects accounted for 0.09 ± 0.02 and 0.56 ± 0.03 of the phenotypic variance, respectively. Comparable parameter estimates for the index were not found in the literature, but can be derived from the numerous reports of parameter estimates for birth and 365-d weights found in the literature.
Genetic trends in the index are presented in Figure 1
for both lines. These trends result from the selection applied and drift, which are inseparable in experiments without replicated lines, and from sampling error (Falconer, 1989
). Regressions of direct and maternal breeding values on generation number indicated no genetic change for the control line. For the index selection line, direct genetic change was 6.0 ± 0.3 kg per generation, and the maternal genetic trend was 0.3 ± 0.6 kg per generation. Total response based on estimates of genetic change was materially less than would be predicted from the heritability estimates and intensity selection applied.
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Figures 2
and 3
show estimates of genetic trend in birth weight and 365-d weight for the control line and in response to selection on the index, 365-d weight - 3.2(birth weight), respectively. Whereas the direct and maternal trends for birth weight and 365-d weight observed in the control line were significantly different from zero, they were quite small. For the control line, regressions of breeding values on generation number were 0.18 ± 0.08, 0.08 ± 0.03, 1.70 ± 0.65, and 0.25 ± 0.10 per generation for direct and maternal effects for birth and 365-d weights, respectively. Corresponding estimates of genetic change for the index selected line were 0.45 ± 0.09, 0.04 ± 0.02, 7.74 ± 0.55, and 0.39 ± 0.08 per generation.
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Dickerson et al. (1974)
predicted selection on the index yearling weight - 3.2(birth weight) would substantially reduce, but not eliminate, the increase in birth weight. Although a comparable positive control (i.e., a line selected for increased yearling weight alone) was not used in the present study, the response in birth weight was small and a substantial genetic increase was observed for 365-d weight.
MacNeil et al. (1998)
eliminated the direct genetic increase in birth weight by selecting for below-average birth weight and maximal yearling weight using independent culling levels while maintaining positive, albeit slower (36%), genetic increase in yearling weight. Index in retrospect calculations (our unpublished results) show the emphasis placed on birth weight by this independent culling levels strategy was not significantly different from -3.2 employed in this experiment. However, the genetic increase in direct genetic effects on 365-d weight found here is essentially twice that observed in the line selected using independent culling levels by MacNeil et al. (1998)
. A partial explanation for this difference in genetic change may be the greater heritabilities for all traits in the CGC composite than in the Line 1 Hereford population and the greater efficiency of index selection relative to independent culling levels.
Consistent with average estimates from the literature (Koots et al., 1994
), direct and maternal effects on 200-d weight were moderately heritable in these data; 0.30 ± 0.04 and 0.19 ± 0.04, respectively. The genetic correlation between direct and maternal effects was 0.08 ± 0.11. Permanent environmental effects due to dams accounted for 0.10 ± 0.02 of the phenotypic variation in 200-d weight. As would be expected from the part-whole relationship between 200-d weight and the index, correlations between direct effects, maternal effects, permanent environment effects, and temporary environment effects influencing the two traits were all large; 0.70 ± 0.05, 0.93 ± 0.06, 0.93 ± 0.07, and 0.64 ± 0.02, respectively. Genetic changes in direct and maternal effects due to the correlated response in 200-d weight are shown in Figure 4
. For the control line, regressions of breeding values for 200-d weight on generation number were 0.84 ± 0.30 and 0.60 ± 0.18 for direct and maternal effects for 200-d weight. Corresponding estimates of genetic changes in the index selected line were 3.42 ± 0.25 and 0.31 ± 0.16 per generation.
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When interpreting the present results, it should be remembered that this experiment was approximately three generations in duration. Since selection was primarily of sires and because maternal responses lag the responses for direct effects by a generation, any conclusion that this selection strategy only impacts the direct effects would be premature. In addition, the index selection line and the control line were not replicated and the results may be affected by drift.
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| Footnotes |
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2 Mention of a proprietary product does not constitute a guarantee or warranty of the product by USDA, the Montana Agric. Exp. Stn., or the authors, and does not imply its approval to the exclusion of other products that may also be suitable. ![]()
4 Several people, including W. L. Reynolds, J. J. Urick, R. A. Bellows, R. E. Short, R. B. Staigmiller, B. W. Knapp, and S. Newman, made significant contributions to the design and/or initial implementation of this research. Their contributions are greatly appreciated. ![]()
3 Correspondence: 243 Fort Keogh Rd. (phone: 406-232-8213; fax: 406-232-8209; E-mail: mike{at}larrl.ars.usda.gov).
Received for publication February 5, 2003. Accepted for publication July 9, 2003.
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