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Sample Data set

Evaluation of growth rate in two indigenous sheep breeds of Ethiopia

The data set, background text and SAS programme runs were provided by Dr Markos Tibbo, ILRI Addis Ababa, Ethiopia. Mr James Audho and Drs Okeyo Mwai and Julie Ojango, ILRI, Nairobi, Kenya, prepared the GENSTAT runs and the rest of the texts.

Background information

Growth in animals can be measured by the increase in live weight over time. Different factors tend to have differential influence on growth depending on the period of growth the animal is undergoing. For example, early growth in lambs is influenced by the breed, sex of lamb, litter size born in, seasonal fluctuation in feed availability, hence the milk yield of the dam. The growth rate of sheep could be improved through selection, provided there are records available on a reasonable number of animals over several years.

Sheep from two indigenous sheep breeds of Ethiopia, the Menz and the Horro were reared at the ILRI Debre Berhan research station and their performance recorded from 1992 to 1997. Data obtained from this station will be used to illustrate the steps and procedures followed in statistical analysis of field (livestock) data.

Possible breeding goal:

To have indigenous sheep flocks that are well adapted to the local environment as well as productive (i.e. good reproductive performance and fast growth rates), hence have high off-take rates and be profitable to the producers.

Research questions

The following general research questions could be raised:

  1. What environmental factors have the greatest influence on growth rate of sheep in Ethiopia?

  2. Is growth rate at different ages the same for Horro and Menz sheep?

  3. At what stage of growth does the dam have the greatest influence?

  4. What proportion of the variation in growth can be attributed to the genes the individual animals posses (inherited from its parents)?

Source of Data

Two indigenous sheep breeds of Ethiopia, the Menz and the Horro, were reared at the ILRI Debre Berhan research station and records maintained on their performance from 1992 to 1997. The animals were retained as pure-breds. To avoid haphazard mating, different sexes of animals were grazed in separate paddocks. Lambing was planned to occur either in June at the beginning of the wet warm season (long rains from July to September) or in October at the onset of the dry cold season (November to January). During the breeding seasons, single sire mating groups of 20-25 ewes per ram were maintained. Within each mating season, ten rams from each breed were used. Details on the animal management are described by Tibbo (2006).

Data collection

Data used was collected over a period of five years (1992 to 1997). Records maintained on individual animals included weights at birth, 3 months and 12 months, and dates of birth, lambing and mating. The data collected was maintained in a [Microsoft Access] database.

The fields in the database are animal id, computer generated newid, breed, sex, birth date, birth weight, season of birth, sire id, computer generated new sire id, dam id, computer generated new dam id, litters id (lambs from the same dam within parity receives similar id), birth type (1, 2, 3), mating group, year of birth, weaning date, weaning weight, age at weaning date, pre-weaning average daily weight gain (ADG1), yearling date, yearling weight, age at yearling date, post-weaning average daily weight gain (ADG2), and mortality date [Sheep Data1], [Sheep Data-Raw], [Sheep Data Analysis1].

Data Exploration

Data collected must first be explored and errors in data entry checked. Data is then categorized into groups, and various distributions (scatter plots, histograms etc.) plotted to examine any patterns within the data. Observations noted outside the general pattern are checked to ensure they are not errors in the data [Biometrics example 1].

Raw statistics are then obtained on each variable of interest. Two statistical packages, SAS and Genstat were used to illustrate the steps and procedures. Links to the two sets of files are made for ease of reference (See Module 4, Section 2) [SAS] and [GENSTAT programmes].

The summary of the results from the runs of the two input programs are presented in Tables 1 to 4 to illustrate the point that both programs give similar results.

The 1st step is to run the descriptive statistics, then use the results (see Table 1a) to clean the data (see SAS program). Results of subsequent analysis are presented in Table 1b. [SAS and GENSTAT Programmes]

Table 1a: SAS and GENSTAT outputs showing descriptive statistics for raw data on birth weight (BWT), weaning weight (WWT) and yearling weight (YWT) of Sheep from Debre Berhan

Statistics

               SAS

 

              GENSTAT

 

    BWT

   WWT

   YWT

 

     BWT

     WWT

     YWT

N (No. of observations)

     4392

    4392

    4392

 

      4392

      4392

      4392

Mean

     2.45

     7.52

    7.19

 

       2.45

       7.52

       7.19

Variance

     0.32

   27.39

   83.78

 

       0.32

     27.39

     83.86

Standard deviation

     0.57

    5.23

    9.15

 

       0.57

       5.23

       9.15

Skewness

    -0.06

   -0.43

    0.66

 

     -0.06

     -0.43

       0.66

Kurtosis

     0.04

   -1.29

   -1.20

 

       0.04

     -1.29

     -1.20

Coefficient of variation

    23.15

   69.60

 127.32

 

     23.15

     69.60

    127.32

Standard error of mean

     0.01

     0.08

    0.14

 

       0.01

       0.08

       0.14

Median

       2.5

      8.9

      0.0

 

        2.5

        8.9

        0.0

Min

       0.3

      0.0

      0.0

 

        0.3

        0.0

        0.0

Max

       4.8

     14.9

    35.0

 

        4.8

       14.9

       35.0

Range

       4.5

     14.9

    35.0

 

        4.5

       14.9

       35.0

Table 1b: SAS and GENSTAT outputs showing descriptive statistics for edited data on birth weight (BWT), weaning weight (WWT) and yearling weight (YWT) of Sheep from Debre Berhan

Statistics

            SAS

 

             GENSTAT

 

  BWT

  WWT

   YWT

 

   BWT

   WWT

   YWT

N (No. of observations)

  4362

   3122

     1767

 

     4362

      3122

      1767

Mean

  2.45

  10.57

    17.85

 

      2.45

     10.57

     17.85

Variance

  0.31

   6.34

    17.74

 

      0.31

       6.34

     17.74

Standard deviation

  0.56

   2.52

     4.21

 

      0.56

       2.52

       4.21

Skewness

 -0.01

  -0.02

     0.43

 

     -0.01

     -0.02

       0.43

Kurtosis

 -0.05

  -1.15

     0.35

 

     -0.05

     -1.15

       0.34

Coefficient of variation

 22.85

  23.83

   23.60

 

     22.85

     23.83

     23.60

Standard error of mean

  0.01

   0.05

      0.1

 

      0.01

       0.05

        0.1

Median

  2.5

   10.6

     17.5

 

        2.5

       10.6

       17.5

Min

  0.9

     6.0

      7.0

 

        0.9

        6.0

        7.0

Max

  4.8

   14.9

     35.0

 

        4.8

       14.9

       35.0

Range

  3.9

     8.9

     28.0

 

        3.9

        8.9

       28.0

Once one is sure of the quality of data at hand, then further analyses of various traits of interest can be performed. For example, one can analyse the factors affecting weights of animals at different stages of growth such as: birth weight, weaning weight and yearling weight. These are termed dependent variables (See Module 4, section 3.1). The next step is the model building step, where both dependent and independent variables are specified. The models used in this example include the fixed effects of breed (two levels); sex (two levels); birth type (three levels); dam parity (6 levels); season (two levels) and year of birth (five levels). Age of lamb at weaning was fitted as linear covariate to adjust for variation that might arise from imposition of a weaning date to every animal weaned older or younger than the assumed 90 days,(See Module 4, Section 3.2).Similarly age of lamb at yearling was fitted as linear covariate to adjust for such variations. Also see the relevant sections in the [SAS] and [GENSTAT] Program files.

The results from these analyses are presented in Tables 2, 3 and 4 as extracted from the outputs of the SAS and GENSTAT programmes.

Table 2: Summary of general linear model for birth weight (BWT), weaning weight (WWT) and yearling weight (YWT) of Sheep from Debre Berhan; SAS and GENSTAT outputs

Models:
BWT (Y) = µ + breed + sex + parity +year season of birth + birth type + residuals
WWT or YWY (Y) = µ + breed + sex + parity + year season of birth + birth type + age (linear cov.) + residuals

Statistics

                SAS

 

         GENSTAT

 

    BWT

    WWT

   YWT

 

   BWT

  WWT

  YWT

Overall Mean

     2.45

      10.57

      17.85

 

    2.45

    10.58

    17.85

Model DF

        18

          19

          18

 

       18

        19

        18

Residual DF

     4343

       3102

       1748

 

    4343

     3102

     1748

Residual SS

      857

      13107

     17026

 

   856.6

   13107

   17026

F ratio

  144.74

      83.15

      81.57

 

 144.74

    83.15

    81.57

Significance level

  <.0001

    <.0001

    <.0001

 

   <.001

   <.001

    <.001

R-Square

     0.38

       0.34

       0.46

 

    0.37

     0.33

     0.45

DF = Degree of Freedom
SS = Sum of Squares

Table 3a: Summary of analysis of variance for birth weight (BWT), weaning weight (WWT) and yearling weight (YWT) of Sheep from Debre Berhan; SAS output 

Models:
 
BWT (Y) = µ + breed + sex + parity + year season of birth + birth type + residuals
 
WWT or YWY (Y) = µ + breed + sex + parity + year season of birth + birth type + age (linear covariate) + residuals

 

             BWT

            WWT

            YWT

Effect LSM % FIT Signif-
level
LSM % FIT Signif-
level
LSM % FIT Signif-
level
Breed     8.43 * * *    2.53 * * *       3.71 * * *
Horro 2.39      9.78      18.49    
Menz 2.05      8.95      16.66    
Sex     0.97

* * *

   0.43

* * *

      6.17

* * *

Female 2.17      9.20      16.52    
Male 2.28      9.53      18.63    
Birth Type    22.02

* * *

   13.5

* * *

      5.03

* * *

Single 2.73     11.22       19.0    
Twins 2.16      9.04      16.58    
Triplets 1.77      7.84      17.13    
Age   -      0.08 Ns        3.2 * * *
Parity of Dam    10.53

* * *

   2.71

* * *

      1.58

* * *

Year season of birth See Fig.1   4.74

* * *

See Fig.1  20.6

* * *

See Fig 1     24.6

* * *

NS = not significant
*** = Significant at 0.001

Table 3b: Summary of analysis of variance for the traits of interest: birth weight (BWT), weaning weight (WWT) and yearling weight (YWT) of Sheep from Debre Berhan; GENSTAT output [GENSTAT-GLM]
 
Models:
 
BWT (Y) = µ + breed + sex + parity + year season of birth + birth type + residuals
WWT or YWY (Y) = µ + breed + sex + parity + year season of birth + birth type + age (linear covariate) + residuals

 

BWT

WWT

YWT

Effect LSM % FIT Signif -level LSM % FIT Signif -level LSM % FIT Signif -level
Breed        5.76 * * *   1.87 * * *        4.19 * * *
Horro   2.64    

     11.04

    18.35    
Menz   2.30          10.22     16.65    
Sex        0.89

* * *

  0.37

* * *

       7.16

* * *

Female   2.40          10.40     16.43    
Male   2.51          10.72     18.57    
Birth Type      20.11

* * *

  9.56

* * *

       3.15

* * *

Single   2.63          11.13     19.02    
Twins   2.06            8.94     16.58    
Triplets   1.67           7.74     16.90    
Age   -     0.08 NS         3.2 * * *
Dam Parity         6.0

* * *

See Fig.1 1.29

* * *

      1.47

* * *

Year season of birth See Fig.1      4.74

* * *

See Fig.2 20.6

* * *

See Fig.1     26.5

* * *

NS = not significant (P>0.05)
*** = Significant at 0.001

Figure 1 Least Squares means for various traits over different Year-Seasons of birth

In the subsequent analyses breed was dropped from main effects since the analyses were done separately by breed. In this case, sire was fitted as random effect and lamb weaning age as linear covariate. [SAS and GENSTAT programmes]

Inference from results obtained

The results obtained at this point indicate that there exists significant between and within breed variation for growth in the two indigenous breeds. However, to determine what proportion of the variation is due to genetic composition of the breeds, subsequent genetic analyses which enable, estimation of the variance components, covariances and genetic parameters (heritabilities and genetic correlations) for growth using programs such as WOMBAT, AIREML, ASREML, VCE, PEST, R and DMU are performed.

Exercises

Based on the above information:

  1. Find out and indicate key reasons as to why cleaning of data was necessary?
  2. Prepare 2 Tables (as Table 4) for SAS and GENSTAT outputs by breed.

References

Tibbo M. 2006. Productivity and health of indigenous sheep breeds and crossbreds in the central Ethiopian highlands. PhD dissertation. Department of Animal Breeding and Genetics, Faculty for Veterinary Medicine and Animal Sciences, Swedish University of Agricultural Sciences (SLU), Uppsala, Sweden.Available at: http://diss-epsilon.slu.se/archive/00001142/01/Markos_Tibbo_corrected.pdf

Related Literature

Ermias E., Yami A. & Rege J.E.O. 2002. Fat deposition in tropical sheep as adaptive attribute to periodic feed fluctuation. Journal of Animal Breeding and Genetics. 119: 235-246.

Mukasa-Mugerwa E., Said A.N., Lahlou-Kassi A., Sherington J. & Mutiga E.R. 1994. Birth weight as a risk factor for perinatal lamb mortality, and the effects of stage pregnant ewe supplementation and gestation weight gain in Ethiopian Menz sheep. Preventive Veterinary Medicine. 19: 45-56.

Negussie E., Rottman O.J., Pirchner F. & Rege J.E.O. 2000. Allometric growth coefficients and partitioning of fat depots in indigenous Ethiopian Menz and Horro sheep breeds. In: Merkel R.C.; Abebe G. & Goetsch A.L. (eds). The Opportunities and Challenges of Enhancing Goat Production in East Africa. Workshop Proceedings. Langston University, OK (USA). E (Kika) dela Garza Inst. for Goat Research. Langston, OK (USA), pp. 151-163.

Rastogi R.K., Keens-Dumas M.J. & Lauckner F.B. 1993. Comparative performance of several breeds of Caribean hair sheep in pure breeding and crossbreeding. Small Ruminant Research. 9: 353-366.

Rege J.E.O., Tembely S., Mukasa-Mugerwa E., Sovani S., Anindo D., Lahlou-Kassi A., Nagda S. & Baker R.L. 2002. Effect of breed and season on production and response to infections with gastro-intestinal nematode parasites in sheep in the highlands of Ethiopia. Livestock Production Science. 78(2): 159-174.

SAS. 2000. Statistical Analysis Systems. SAS Institute, Cary, NC, USA.

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