Research Article Volume 8 Issue 3
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
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
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).
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
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
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.
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 circumferenceBody 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 (0.86
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 (0.80
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
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.
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
The author declares that there no conflicts of interest.
©2019 Putra, et al. This is an open access article distributed under the terms of the, which permits unrestricted use, distribution, and build upon your work non-commercially.