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Dairy, Veterinary & Animal Research

Research Article Volume 8 Issue 3

Principal component analysis of body measurements and body indices and their correlation with body weight in Katjang does of Indonesia

Widya Pintaka Bayu Putra,1 Fahrul Ilham2

1Department of Animal Breeding and Genetics, Faculty of Animal Sciences, Gadjah Mada University, Indonesia
2Departement of Animal Science, Faculty of Agriculture, Gorontalo State University, Indonesia

Correspondence: Widya Pintaka Bayu Putra, M.Sc., Department of Animal Breeding and Genetics, Faculty of Animal Sciences, 55281 Bulaksumur, Sleman, Indonesia , Tel 0878-3819-7243

Received: October 19, 2018 | Published: May 17, 2019

Citation: Putra WPB, Ilham F. Principal component analysis of body measurements and body indices and their correlation with body weight in Katjang does of Indonesia. J Dairy Vet Anim Res. 2019;8(3):124-134. DOI: 10.15406/jdvar.2019.08.00254

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Abstract

The present study was aimed to investigate the body measurements and body indices of Kacang do at Bone Bolango Regency of Indonesia. A total of 85 does (3years age) were recorded and analyzed by principal component analysis (PCA) to explain the body measurements and body indices. Eleven body measurements of face length (FL), face width (FW), face height (FH), ear length (EL), ear width (EW), body length (BL), withers height (WH), chest width (CW), chest depth (CD), chest girth (CG), cannon bone circumference (CC) and eleven body indices of cephalic index (CpI) length index (LI), depth index (DI), body index (BI), conformation index (CI), proportionality (Pr), relative depth of thorax (RDT), dactyl thorax index (DTI), thoracic development (TD), area index (AI), and relative cannon thickness index (RCTI) were calculated in this study. Four components of body measurements (FH, BL, CD, CG) and three components of body indices (CI, TD, RCTI) were identified as the first component (PC1) for Katjang does. The result suggests that the highly R2 value (0.61< R2<0.80) were obtained in linear regression of BW with CG (0.69) or PC1 (0.71) as predictors. The R2 value in linear regression of BW using body indices through PC1 and PC2 as predictors was showed moderate category (R2=0.72).

Keywords: body measurements, body indices, body weight, katjang does, PCA

Introduction

Goats are important livestock in Indonesia because of their adaptation to harsh climates conditions, disease tolerance capacity and they can provide a full range of products for humans especially of meat production Total of goat population numbers in Indonesia at 2015 about 18,880,000 heads with total of meat production at 2015 about 65,900kg mean while, total of goat for slaughters at 2015 about 1,819,812 heads.1 Bone Bolango Regency is located at Gorontalo Province (Sulawesi Island) that one of goat breeding tract in Gorontalo province. Total of goat population in Bone Bolango Regency at 2011 reached 5,872 heads and about 7.0% from total population at Gorontalo province.1 The Katjang goat is a largest indigenous goat in Indonesia and used for meat production. Genetic improvement of indigenous livestock species is of importance because of their adaptation to harsh climatic condition and their disease tolerance capacity. The meat productions of Katjang bucks i.e. slaughters weight, carcass weight, carcass percentage and non carcass percentage were 25.56kg, 11.94kg, 46.80% and 53.20% respectively under feed ration containing soybean meal.2 The litter size of Katjang does such were 2.95 kid/doe/year with kidding interval in the 1st, 2nd, 3rd, 4th, 5th and 6th parities were 271, 262, 243, 217, 223 and 239 days respectively.3 Growth and development is important for production of meat animals. Body measurements are important parameters to describe growth. In addition to estimate body measurements and body indices can be described completely an individual or a population. Therefore, linear body measurements can be used as selection criteria for improvement of meat production in goat. Body conformation by recording of minimum body measurements which reduce the cost, labour and time is the need of the day. Body measurements in addition to weight measurements describes more completely an individual or population than do the conventional methods of weighing and grading. EAAP and FAO have used wither height for example as a prime indicator of grade.4 Desirable body conformation, from the meat production viewpoint, is such a complex character that little progress has been made in reducing it to a single corporal measurement which can be taken on the live animal. Body indices from different body measurements, an objective assessment of body conformation from the standpoint of type may be relatively easier.5 Combination of different linear measurements in the body indices may be more useful to describe the type and function of animal. A more reliable assessment of morpho metric relationship among livestock breed has been obtained using multivariate statistical tools such as principal component analysis.6 Principal component analysis (PCA) is an interdependence technique whose primary purpose is to define the underlying structure among the variables under study. Though the number of components generated in PCA equals the number of variables in the study, first few components accounts for the highest proportion of the total variance. The PCA has been used as a tool in the assessment of the body conformation which can be conducted to understand of the complex growth process in the body dimensions of an animal during growth period. Results of principal component analysis not only impact the management of animals but also help in conservation and selection of multiple traits by breeders.7 The PCA of body measurements in livestock were also used to explain body conformation in several livestock such as goat,819 sheep,6,12,2025 cattle,2631 buffalo,32 horse,33 chicken34 and rabbit.13,14 Despite, previous study reported that the PCA of body measurements were also used to predict body weight in goat,811 sheep12 and rabbit.13,14 This study was aimed at providing objective description of body measurements and body indices of Katjang does from Bone Bolango regency using principal component analysis (PCA). It also tested the hypothesis that the relationships involving body weight and morphological traits may be different when body measurements derived from the PCA were used instead of the inter-correlated original morphological variables. The information obtained would be helpful to researchers and livestock producers with policies to assist conservation and sustainable utilization of the Katjang goat genetic resources by the proper use of morphological traits.

Materials and methods

Research site and animals

This research was conducted at Bone Bolango Regency, Gorontalo Province, Indonesia. This area is situated at latitude 000 18" 25” to 000 48" 21” N and longitude 1230 03" 41” to 1230 33" 06” E about 0 - 1500m above the sea level. The humidity 71.8 - 88.9 % with temperature 24.4 - 28.0 0C and rainfall occurring 38-378mm. Total of 85 animals (3pairs of permanent incisors) were measured for the principal component analysis (PCA) Body measurements and body weight. All animals were measured using measuring tape (butterfly, China) and measuring stick and taken based on previous studies.6,18,19,25,31 Eleven body measurements were conducted on each goats such as face length (FL: measured from between the horn site/poll to the lower lip), face width (FW: measured as the widest point of the head), face height (FH: measured from the poll to the jaw), ear length (EL: the distance from the base to the tip of the ear along the dorsal surface), ear width (EW: maximum distance at the middle of the ear), body length (BL: distance from the point of the shoulder to the pin bone), withers height (WH: vertical distance from ground to the point of withers measured vertically from the ridge between the shoulder bones to the fore hoof), chest width (CW: measured as a distance from left to right upper arm), chest depth (CD: the distance from the backbone at the shoulder to the brisket between the front legs), chest girth (CG: perimeter of the chest just behind the front legs and withers) and cannon bone circumference (CC: the smallest circumference of the cannon bone of foreleg). All body measurements were taken by technicians accredited by association. The scheme of body measurements in the Katjang doe was presented in Figure 1. Meanwhile, body weight of each animal was measured using hanging weight scale (CAMRY, China).

Figure 1 Scheme of body measurements in the Katjang doe consisted of face length (a), face width (b), face height (c), ear length (d), ear width (e), body length (f), withers height (g), chest width (h), chest depth (i), chest girth (j) and cannon bone circumference (k).

Body indices

Calculation of body indices were obtained according to previous studies10,21,35 as follow:

Cephalic index (CpI)=(FW×100)/FL

Length index (LI)=BL/WH

Depth index (DI)=CD/WH

Body index (BI)=(BL/CG)×100

Conformation index (CI)=CG2/WH

Proportionality (Pr)=(WH/BL)×100

Relative depth of thorax (RDT)=(CD/WH)×100

Dactyl thorax index (DTI)=(CC/CG)×100

Thoracic development (TD)=CG/WH

Area index (AI)=WH×BL

Relative cannon thickness index (RCTI)=(CC/WH)×100

 Statistical analysis

Data of body measurements and body indices were analyzed using Microsoft Office Excel 2007 computer program to describe mean, standard deviation (SD), coefficient of variation (CV) and minimum/maximum values. The phenotypic correlation (r) and the variance-covariance values were also determined. From the variance-covariance matrix, data for the PCA of body measurements and body indices were generated. The PCA equation as follows::16

PC= aX+ aX+ ................ + anpXn

Where, PCp is the pth principal component; anp is the nth vector Eigen of the pth principal component and Xn is the nth observed variables. Kaiser-Meyer-Olkin (KMO) test of sampling adequacy and Bartlett"s test of sphericity were computed to establish the validity of the data set KMO"s measure determines whether the common factor model is appropriate. The KMO should be greater than 0.50 for a satisfactory factor analysis to proceed. Rotation of principal components was through the transformation of the components to approximate a simple structure. The raw varimax criterion of the orthogonal rotation method was employed for the rotation of the factor matrix (the aim of the varimax rotation is to maximize the sum of variances of a quadratic weight). Cumulative proportion of variance criterion was finally employed to determine the number of components to extract. Simple and multiple linear regressions were performed in this study for identified the accuracy in each components when used as BW predictors. The linear regression equation as follows: 8

BW = β0+ β1X1+ β2X2+ .......... + βnXn

BW = β0+ β1PC1+ β2PC2+ .......... + βnPCn

Where, BW is the body weigh; β0 is the intercept; βn is the regression coefficient, Xn is the nth observed variables and PCn is the nth observed principal component. The tatistic analysis for principal component and regression analysis were performed using SPSS 16.0 computer program.

Results and discussion

Body measurements and body weight

The descriptive statistics for all the body measurements was presented in Table 1 and the body measurements of several goat and sheep in the world was presented in Table 2. The moderate of CV value (0.10<CV<0.20) were obtained on measurements of FL, FW, EL, CW and BW. Therefore, the low of CV value (CV<0.10) were obtained on the other measurements. Body a measurement of WH and CG in Katjang does in the present study were higher than Malaysian Katjang (MK) does. However, BL in this study was lower than MK does (Table 2). Moreover, most of the body measurements of Katjang does in this study were highest than Black Bengal and West African Dwarf (WAD) does. According to the Table 2, body measurements of Katjang does in this study were lowest than several sheep breeds. The variation among breeds can be caused by the difference of genetic, nutrition, management system and climate.

Parameter

Mean

SD

CV (%)

Min.

Max.

Body measurements (cm)

 Face length

14.12

1.45

10.29

10

19

 Face width

10.94

1.31

12.01

8.5

16

 Face height

12.31

1.04

8.41

10.5

15

 Ear length

14.86

1.68

11.28

12

19

 Ear width

7.12

0.68

9.51

5.9

9

 Body length

60.26

4.27

7.08

49.6

69.7

 Withers height

56.26

3.84

6.83

49

68

 Chest width

15.33

1.93

12.61

10

20

 Chest depth

25.97

1.98

7.64

18.5

30

 Chest girth

69.42

4.64

6.69

58

81

 Cannon bone circumference

7.1

0.64

8.99

6

9

Body weight (kg)

27.11

4.93

18.18

17

42

Body indices

 Cephalic index

77.91

10.01

12.85

63.33

133.33

 Length index

1.07

0.09

8.28

0.75

1.34

 Depth index

0.46

0.04

8.79

0.31

0.56

 Body index

86.95

5.4

6.21

73.61

102.24

 Conformation index

86.06

10.25

11.92

63.47

115.57

 Proportionality

93.71

8.15

8.7

74.37

133.33

 Relative depth of thorax

46.32

4.07

8.79

31.15

55.77

 Dactyl thorax index

10.24

0.73

7.14

8.57

11.94

 Thoracic development

1.24

0.09

6.97

0.99

1.5

 Area index

3394.46

379.2

11.17

2430.4

4596.8

 Relative cannon thickness index

12.64

1.08

8.56

10.34

15.84

Table 1 Descriptive statistic of body measurements and body indices of Katjang does of Indonesia.

N, number of observation; SD, standard deviation; CV, coefficient of variation; Min, minimum value; Max, maximum value

Species / Breeds

Sex

BW

FL

FW

EL

EW

BL

WH

CW

CD

CG

CC

Reference

Goat

Malaysian Katjang

Female

23.65

14.58

11.91

13.27

-

70.5

50.21

-

-

63.46

-

(36)

Cuban Creole

Female

-

17.71

11.24

12.68

-

65.54

60.97

16.36

-

76.87

7.36

(35)

Assam Hill

Female

24.86

-

-

-

-

61.48

54.57

-

27.68

71.93

7.71

(10)

Andalusian White

Female

-

22.46

13.65

-

-

80.25

73.64

-

33.55

89.85

9.87

(38)

Florida

Female

-

25.54

12.78

-

-

80.54

77.91

-

34.79

90.92

9.24

(38)

Granada

Female

-

18.53

12.4

-

-

73.97

68.22

-

30.98

85.59

7.97

(38)

Malaga

Female

-

17.94

12.84

-

-

71.64

69.44

-

30.97

87.52

8.72

(38)

Andalusian Black

Female

-

22.39

13.67

-

-

81.25

76.98

-

35.01

96.24

9.96

(38)

West African Dwarf

Overall

17.14

-

9.41

-

-

45.1

44.09

10.81

26.43

60.09

-

(16)

Red Sokoto

Overall

22.32

-

12.13

-

-

51.63

62.34

14.24

31.42

69.81

-

(16)

Barcha

Female

36.9

24

-

21

8.8

98.7

71.4

-

-

74.7

-

(19)

Atlas

Female

38.3

24

-

20.5

8.54

99.5

71.6

-

-

75.6

-

(19)

Black Bengal

Female

12.4

15.1

10.55

11.9

-

42.15

43.1

-

-

53.4

-

(15)

Kilkecisi

Female

51.2

22.7

11.3

16.9

8

80.6

74.8

17.7

32.9

86.8

9.7

(37)

Norduz

Female

-

41.32

-

-

-

67.63

65.64

22.34

31.44

89.43

-

(39)

Honamli

Female

63.5

-

-

-

-

88.3

83

-

-

91

-

(40)

Sheep

Djallonke

Female

-

-

-

-

-

54.87

57.06

-

25.66

65.19

-

(25)

Yankasa

Overall

41.6

-

-

-

-

70.9

76.16

15.08

-

86.63

-

(7)

Uda

Overall

-

21.47

-

-

-

59.37

65.83

14.4

-

71.98

-

(21)

Assaf

Female

75.74

31.11

14.52

17.9

10.33

-

-

26.85

-

-

-

(23)

Balami

Overall

53.01

-

-

-

-

96.06

83.96

27.85

-

95.05

-

(22)

Zulu

Female

33.39

18.84

10.86

9.51

-

63.82

63.18

-

32.7

79.26

9.3

(24)

Bergamasca

Female

-

-

-

-

-

78.3

79.5

23.8

-

99

-

(20)

Dombos

Female

-

-

-

-

-

61.89

63.14

22.1

30.47

93.65

-

(41)

Table 2 The Means of body measurements in several breeds of adult goat and sheep in the world.

FL, face length; FW, face width; EL, ear length; EW, ear width; BL, body length; WH, withers height; CW, chest width; CD, chest depth; CG, chest girth; CC, cannon bone circumference

Body indices

The descriptive statistics for all body indices was presented in Table 1. Moderate CV value were showed in body indices of CpI, CI, AI and FoL. Therefore, the lowly CV values were obtained on the other body indices. The body indices of Cuban Creole does were BI (85.29+5.57), CpI (63.65+3.49), Pr (93.19+3.77), RDT (47.66+1.42), DTI (9.58+0.50) and CI (97.01+3.96).35 In addition, the body indices of Assam Hill does according to Khargharia et al. (2015) were LI (1.14+0.02), DI (0.51+0.01), BI (86.87+0.85), Pr (88.52+1.21), RDT (50.88+0.71) DTI (9.82+0.38), TD (1.32+0.02), AI (3355.13+48.84) and RCTI (12.95+0.14).10 Meanwhile, the body indices of LI and DI were 1.01 and 0.53 respectively for WAD sheep and about 0.93 and 0.52 respectively for Yankasa sheep.7 Body indices of BI, DTI and AI in the Katjang does in this study were higher than Assam Hill does. Thus, body indices of BI, Pr, DTI and CpI of Katjang does were higher than Cuban Creole does. According to BI value, the goat can be described three category such as brevigline (BI<0.85), medigline (0.860.88). Moreover, according to DTI value, the goat can be described as four category such as light animals (DTI<10.5), intermediary (10.610,35 The Katjang does in this study can be described as light meat animals (DTI=10.24) and medigline animals (BI=86.95) with good of thoracic development (TD=1.24).

Phenotypic correlations

The phenotypic correlations (r) among body measurements and body indices were presented in Table 3 and Table 4 respectively. The highest r values were reached between CG and BW (0.83) and included of the very high category (0.808 Pakistan commercial goat (0.76),9 Atlas (0.91),10 Barcha (0.77),15 Black Bengal (0.85),19 MK (0.88),36 Red Sokoto (0.94),38 WAD (0.91),38 and 0.82 for Kilkecisi.38 Despite, highly r values between CG and BW were reported in some sheep breeds such as Zulu (0.88),7 Balami (0.80),22 WAD (0.81),24 Yankasa (0.85)24 and 0.70 for Djallonke.25 The r values of EL-EW, CD-EL and CD-EW in Kilkecisi does were 0.77; 0.32 and 0.25 respectively37 and higher than Katjang does in the present study. Thus, the r value between DI and LI in WAD and Yankasa sheep's was 0.95 and 0.76 respectively7 and showed higher than Katjang does in the present study (0.57). Body measurement of CG in the Katjang does in this study can be influenced of BW because of highly correlation (r=0.83).

Variables*

BW

FL

FW

FH

EL

EW

BL

WH

CW

CD

CG

CC

Body weight (BW)

1

0.55

0.15

0.59

0.25

0.38

0.56

0.43

0.31

0.38

0.83

0.56

Face length (FL)

-

1

0.39

0.42

0.43

0.62

0.45

0.42

0.24

0.25

0.58

0.59

Face width (FW)

-

-

1

0.20ns

0.18ns

0.3

0.17ns

0.27

0.24

0.07ns

0.23

0.49

Face height (FH)

-

-

-

1

0.24

0.29

0.41

0.37

0.27

0.3

0.58

0.3

Ear length (EL)

-

-

-

-

1

0.63

0.29

0.24

0.03ns

-0.02ns

0.21

0.35

Ear width (EW)

-

-

-

-

-

1

0.45

0.42

0.19

0.02ns

0.44

0.45

Body length (BL)

-

-

-

-

-

-

1

0.27

0.2

0.41

0.6

0.38

Withers height (WH)

-

-

-

-

-

-

-

1

0.31

0.25

0.46

0.45

Chest width (CW)

-

-

-

-

-

-

-

-

1

0.29

0.5

0.3

Chest depth (CD)

-

-

-

-

-

-

-

-

-

1

0.48

0.17ns

Chest girth (CG)

-

-

-

-

-

-

-

-

-

-

1

0.61

Cannon bone circumference (CC)

-

-

-

-

-

-

-

-

-

-

-

1

Table 3 Phenotypic correlation between body weight and body measurements in Katjang does of Indonesia.

*(P<0.05); ns(P>0.05)

Body indices*

BW

CpI

LI

DI

BI

CI

Pr

RDT

DTI

TD

AI

RCTI

Body weight (BW)

1

-0.22

 0.13ns

 0.01ns

-0.25

0.69

-0.14ns

 0.02ns

-0.06ns

0.38

0.64

0.26

Cephalic index (CpI)

-

1

-0.10ns

-0.02ns

0.01ns

-0.17ns

0.10ns

-0.03ns

0.27

-0.12ns

-0.12ns

 0.12ns

Length index (LI)

-

-

1

0.57

0.59

0.47

-0.98

0.59

-0.16ns

0.68

 0.05ns

0.43

Depth index (DI)

-

-

-

1

0.10ns

0.4

-0.55

0.99

-0.28

0.61

-0.24

0.26

Body index (BI)

-

-

-

-

1

-0.33

-0.58

 0.11ns

 0.06ns

-0.19

0.2

-0.09ns

Conformation index (CI)

-

-

-

-

-

1

-0.48

0.41

-0.25

0.88

0.3

0.51

Proportionality (Pr)

-

-

-

-

-

-

1

-0.56

0.21

-0.67

-0.06ns

-0.4

Relative depth of thorax (RDT)

-

-

-

-

-

-

-

1

-0.28

0.61

-0.23

0.26

Dactyl thorax index (DTI)

-

-

-

-

-

-

-

-

1

-0.27

 0.01ns

0.61

Thoracic development (TD)

-

-

-

-

-

-

-

-

-

1

-0.12ns

0.6

Area index (AI)

-

-

-

-

-

-

-

-

-

-

1

-0.09ns

Relative cannon thickness index (RCTI)

-

-

-

-

-

-

-

-

-

-

-

1

Table 4 Phenotypic correlation between body weight and body indices in Katjang does of Indonesia.

 *(P<0.05); ns(P>0.05)

Principal component analysis

The communalities value, total variance explained by different components and rotated component matrix of different body measurements and body indices of Katjang does in this study were presented in Table 5, Table 6 and Table 7 respectively. The measure of sampling adequacy, Kaisee-Meyor-Olicn (KMO) of body measurements and body indices were 0.80 and 0.58 respectively. The overall significance of the correlations tested with Bertlett"s test of Sphericity for the body measurements (Chi-squared was 362.32; p<0.01) and body indices (chi-squared was 2,113.00; p<0.01) were significant and provided enough support for the validity of the factor analysis of data. The communality values ranged from 0.44 (WH) to 0.81 (CG) for body measurements and 0.40 (CI) to 0.99 (BI) for body indices (Table 5) The screen plot of component number with eigen values for body measurements and body indices of Katjang does is given in Figure 2. There were three components extracted from different body measurements with Eigen values greater than 1.00 and accounted for 64.89% of total variance (Table 6).

Parameter

Initial

Extraction

Body measurements

 Face length

1

0.673

 Face width

1

0.702

 Face height

1

0.529

 Ear length

1

0.729

 Ear width

1

0.772

 Body length

1

0.627

 Withers height

1

0.437

 Chest width

1

0.556

 Chest depth

1

0.632

 Chest girth

1

0.806

 Cannon bone circumference

1

0.675

Body indices

 Cephalic index

1

0.398

 Length index

1

0.968

 Depth index

1

0.866

 Body index

1

0.996

 Conformation index

1

0.966

 Proportionality

1

0.944

 Relative depth of thorax

1

0.869

 Dactyl thorax index

1

0.899

 Thoracic development

1

0.953

 Area index

1

0.723

 Relative cannon thickness index

1

0.969

Table 5 Communalities value of different body measurements and body indices in Katjang does of Indonesia.

Initial eigen values

Extraction sums of squared loadings

Rotation sums of squared loadings

Group/Component

Total

variance

Cumulative

Total

Variance

Cumulative

Total

Variance

Cumulative

(%)

 (%)

(%)

(%)

(%)

(%)

Body measurements

1

4.544

41.31

41.31

4.544

41.31

41.31

2.626

23.876

23.876

2

1.508

13.71

55.02

1.508

13.71

55.02

2.388

21.706

45.582

3

1.086

9.873

64.893

1.086

9.873

64.893

2.124

19.311

64.893

4

0.771

7.005

71.898

-

-

-

-

-

-

5

0.65

5.913

77.812

-

-

-

-

-

-

6

0.616

5.596

83.407

-

-

-

-

-

-

7

0.526

4.783

88.191

-

-

-

-

-

-

8

0.464

4.22

92.411

-

-

-

-

-

-

9

0.416

3.786

96.197

-

-

-

-

-

-

10

0.246

2.24

98.437

-

-

-

-

-

-

11

0.172

1.563

100

-

-

-

-

-

-

Body indices

1

4.565

41.501

41.501

4.565

41.501

41.501

3.187

28.977

28.977

2

1.799

16.355

57.856

1.799

16.355

57.856

2.651

24.104

53.081

3

1.728

15.706

73.562

1.728

15.706

73.562

1.968

17.894

70.975

4

1.46

13.277

86.839

1.46

13.277

86.839

1.745

15.865

86.839

5

0.816

7.416

94.255

-

-

-

-

-

-

6

0.607

5.52

99.776

-

-

-

-

-

-

7

0.017

0.151

99.926

-

-

-

-

-

-

8

0.003

0.03

99.957

-

-

-

-

-

-

9

0.002

0.019

99.976

-

-

-

-

-

-

10

0.001

0.012

99.989

-

-

-

-

-

-

11

0.001

0.011

100

-

-

-

-

-

-

Table 6 Total variance explained by different components of body measurements and body indices in Katjang does of Indonesia.

Parameter

Principal component

1

2

3

4

Body measurements

 Face length2

0.36

0.595

0.435

-

 Face width3

-0.102

0.163

0.815

-

 Face height1

0.666

0.278

0.092

-

 Ear length2

0.017

0.853

0.043

-

 Ear width2

0.16

0.819

0.275

-

 Body length1

0.667

0.424

0.041

-

 Withers height3

0.363

0.272

0.481

-

 Chest width3

0.437

-0.18

0.577

-

 Chest depth1

0.775

-0.164

0.074

-

 Chest girth1

0.766

0.249

0.396

-

 Cannon bone circumferance3

0.248

0.396

0.676

-

Body indices

 Cephalic index4

-0.0198

-0.03

0.236

0.55

 Length index2

0.471

0.845

0.175

-0.028

 Depth index3

0.408

0.364

0.737

-0.157

 Body index2

-0.363

0.922

-0.112

0.052

 Conformation index1

0.964

0.044

-0.05

-0.181

 Proportionality3

-0.466

-0.835

-0.161

0.063

 Relative depth of thorax3

0.413

0.38

0.728

-0.155

 Dactyl thorax index4

-0.056

-0.045

-0.239

0.915

 Thoracic development1

0.899

0.194

0.317

-0.085

 Area index3

0.16

0.224

-0.78

-0.197

 Relative cannon thickness index1

0.69

0.141

0.049

0.686

Table 7 Rotated component matrix of different factors for body measurements and body indices in Katjang does of Indonesia.

 1,2,3,4elements of the each component

Figure 2 Scree plot showing component number with eigenvalues for body measurements and body indices in Katjang does of Indonesia.

Therefore, four components extracted from different body indices and accounted for 86.84% of total variance. The first (PC1), second (PC2) and third (PC3) components of body measurements were explained the does body about 41.31%, 13.71% and 9.87% of total variance respectively. Thus, PC1; PC2; PC3; and PC4 of body indices were explained does body about 41.50%, 16.36%, 15.71% and 13.28% of total variance respectively. According to Table 7, the negative assigned weight of different body measurements were found on PC1 (FW) and PC2 (CW and CD). Thus, the negative assigned weight of different body indices were found on PC1 (CI, BI, Pr and DTI), PC2 (CI, Pr and DTI), PC3 (BI, CI, Pr, DTI and AI) and PC4 (LI, DI, CI, RDT, TD and AI).Component plot of body measurements according to rotated component matrix is given in Figure 3. Three principal components of different body measurements was obtained in Katjang does and similar to Yankasa sheep6, Pakistan commercial goats,9 Red Sokoto goats,16 Nigerian indigenous goat,18 Bargamesca ewes20 and Balami sheep.22 The communality value of CG in the present study was highest (0.81) than other measurements. Previous studies reported that the communality value of CG was highest than other body measurements in WAD does8 Nigerian indigenous goat18 and Zulu sheep.24 All body measurements and body indices in PC1 group were determined as the important measurements for goat selection.

Figure 3 Component plot of body measurements in the Katjang does in rotate space consisted of face length (FL), face width (FW), face height (FH), ear length (EL), ear width (EW), body length (BL), withers height (WH), chest width (CW), chest depth (CD), chest girth (CG) and cannon bone circumference (CC).

Linear regression model of BW based on the original body measurements and body indices and their component score were presented in Table 8 and Table 9 respectively. According to Table 8, the highly coefficient of determination (R2) value (0.61<R2<0.80) were found in linear regression using CG as the independent variable (R2=0.69) and using FH, BL, CG and CD as the independent variables (R2=0.71). Therefore, the R2 value of simple linear regression with one component of PC1 (0.63) was similar to R2 value of multiple linear regression with two components (PC1, PC2) or three components (PC1, PC2, PC3). According to Table 9, the highly R2 value was found in multiple linear regression with independent variables of CI, RCTI, TD and similar to the simple linear regression with variable of CG (R2=0.69). Thus, the R2 value of multiple linear regression with two components of PC1 and PC2 as independent variables was 0.72 and similar to R2 value of multiple linear regression with three components (PC1, PC2, PC3) or four components (PC1, PC2, PC3, PC4). Previous study showed that the R2 values in simple linear regression of BW based on CG measurement in some goat/sheep were 0.55 (adult Zulu sheep),8 0.62 (Assam Hill does)10 and 0.89 (Red Sokoto does).24 Therefore, the R2 value of simple linear regression with PC1 as independent variable in those breeds were 0.69 (adult Zulu sheep),8 0.64 (Assam Hill does)10 and 0.63 for Red Sokoto does.24 The prediction of BW based on principal component (PC) was more accurate than original body measurements.24 However, the several study reported that prediction of BW based on PC were not accurate in Red Sokoto goat8, Pakistan commercial goat9 and Assam Hill does10. Prediction of BW in using original body measurements of PC1 in this study was more appropriate (R2=0.71) than the use of three principle components of body measurements (R2=0.69). Therefore, prediction of body weight based on four elements of body indices was more appropriate (R2=0.72) than the use of original body indices of PC1 (R2=0.69). The R2 value in linear regression model 1 was highest than model 2, 3 (body measurements and body indices) and 4 (body indices) and suggested that all factors in PC1 were important to explain the body of does in this study.

Model

Prediction equation

R2

SE

Original body measurements as predictors

1

BW=2.80 (FH)-7.34

0.35

4.01

2

BW=0.65 (BL)-12.05

0.32

4.1

3

BW=0.95 (CD)-2.34

0.15

4.58

4

BW=0.88 (CG)-34.10

0.69

2.76

5

BW=0.72 (FH)+0.11 (BL)+0.75 (CG)-0.10 (CD)-37.79

0.71

2.71

Principal components as predictors

1

BW=0.43 PC1-43.74

0.63

3.05

2

BW=0.003 PC2-4.00

0.6

3.14

3

BW=0.65 PC3-0.52

0.52

3.44

4

BW=0.32 PC1+0.001 PC2-29.94

0.63

3.04

5

BW=0.32 PC1+0.001 PC2+0.008 PC3-30.17

0.63

3.06

Table 8 Linear regression model of body weight on original body measurements (PC1) and their component score.

BW, body weight; FH, face height; BL, body length; CD, chest depth; CG, chest girth; PC, principal component; R2, coefficient of determination; SE, standard error

Model

Prediction equation

R2

SE

Original body indices as predictors

1

BW=0.33 (CI)-1.29

0.47

3.6

2

BW=21.77 (TD)+0.16

0.15

4.58

3

BW=1.19 (RCTI)+12.09

0.07

4.79

4

BW=0.73 (CI)+0.38 (RCTI)-57.26 (TD)+30.16

0.69

2.82

Principal components as predictors

1

BW=0.06 PC1-3.90

0.53

3.42

2

BW=0.04 PC2-0.57

0.39

3.88

3

BW= -0.01 PC3-0.50

0.4

3.83

4

BW=1.26-0.04 PC4

0.42

3.79

5

BW=0.22 PC1-0.13 PC2+1.43

0.72

2.66

6

BW=0.22 PC1-0.13 PC2-0.01 PC3+1.45

0.72

2.67

7

BW=0.22 PC1-0.13 PC2-0.01 PC3+0.03 PC4-0.10

0.72

2.68

Table 9 Linear regression model of body weight on original body indices (PC1) and their component score.

BW, body weight; FH, face height; BL, body length; CD, chest depth; CG, chest girth; PC, principal component; R2, coefficient of determination; SE, standard error

Conclusion

The principal component analysis (PCA) for body measurements and body indices in the present study can be used to predict body weight of Katjang does. The PC1 of body measurements can be used for body weight prediction in Katjang does with R2=0.63. Moreover, the PC1 and PC2 of body indices were more accurate for body weight prediction with R2=0.72. Further research with large number of sample is important to get the accurate formula for body weight prediction of Katjang goat in the future.

Acknowledgements

The authors would like to be grateful to all farmers of the Katjang goat in Bone Bolango Regency, who allowed the measurements and observation of their goat

Conflict of interest

The author declares that there no conflicts of interest.

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