**Natural Science**

Vol.09 No.05(2017), Article ID:76477,10 pages

10.4236/ns.2017.95012

Prediction Equation of Body Weight of Amazonian Manatee (Trichechus inunguis) Calves in Captivity Using Biometry

Pierina Mendoza^{1}, Darwin Loja^{2}, Rony Riveros^{1}, Carlos Vilchez^{1}

^{1}Universidad Nacional Agraria la Molina, Lima, Perú; ^{2}Universidad Nacional de la Amazonía Peruana, Iquitos, Perú

Correspondence to: Pierina Mendoza, mend.yeng.pieri@outlook.com

Copyright © 2017 by authors and Scientific Research Publishing Inc.

This work is licensed under the Creative Commons Attribution International License (CC BY 4.0).

http://creativecommons.org/licenses/by/4.0/

Received: January 19, 2017 Accepted: May 23, 2017 Published: May 26, 2017

ABSTRACT

The objective of the study was to determine a prediction equation of body weight of Amazonian manatee calves in captivity using their biometry. It was conducted out with 7 calves (4 males and 3 females) of approximately 8 months of age and average body weight of 29.94 ± 0.055 kg, arranged in pools of sufficient size. Biometry and weighing were performed periodically, with the following measurements: body weight (BW), total curved length (TCL), total length (TL), circumference (CIR), fin width (FW), tail width (TW) and peduncle (PED). Data were subjected to Pearson correlation analysis and linear regression, using the statistical software IBM SPSS 24.0. The results showed a significant correlation (P < 0.05) between BW and TCL, TL, FW, TW, CIR and PED. Six linear simple regression equations were generated with relation to BW, using as predictor variables those that showed positive correlation. The CIR equation independent variable had the highest correlation coefficient and less error estimate (R^{2} = 0.855,
${R}_{aj}^{2}$ = 0.852). In addition, three linear multiple regression equations of BW were calculated using the predictor variables previously analyzed by Person correlation analysis. The equation that used all biometric measurements (TCL, TL, FW, TW, CIR and PED) had the highest coefficient of determination and the lowest estimation error to predict BW. In conclusion, the biometric measurements of TCL, TL, FW, TW, CIR and PED showed a high correlation with the BW and can be used as predictive variables of BW of manatee calves, as they are easy to be measured.

**Keywords:**

Amazonian Manatee (Trichechus inunguis), Biometric Measurements, Body Weight, Weight Prediction, Correlation

1. Introduction

The Amazonian manatee, Trichechus inunguis (Natterer, 1883), is the smallest sirenian and the only one able to completely live in fresh water [ 1 - 3 ]. The Sirenia order is the only order of aquatic mammal’s survivors that are exclusively herbivorous [ 4 ]. This animal is an endemic species of the Amazon basin, occupying water bodies in Brazil, Colombia, Ecuador and Peru [ 1 , 3 , 5 - 7 ], being reported in the latter mainly in rivers within Loreto region [ 2 , 8 , 9 ].

The IUCN (International Union for Conservation of Nature) and Supreme Decree No. 004-2014- MINAGRI categorize this species as vulnerable [ 10 ] and are included in Appendix I of CITES (The Convention on International Trade in Endangered Species of Wild Fauna and Flora) [ 11 - 13 ]. Currently, the Amazonian manatee is considered “Protected Amazonian Species” under the Regulation of Fishery of the Peruvian Amazon (Ministerial Resolution No. 147-2001-PE) [ 14 ] and categorized as “in danger of extinction at nationwide level” (Supreme Decree No. 034-2004-AG) [ 15 ]. The research work on this species is scarce because there are no tools that facilitate its management and conservation.

The dangers that face this species are poaching for consumption, the capture of live animals for exhibition or kept as pets as well as the degradation and pollution of their habitat [ 8 , 16 , 17 ]. The importance of conserving this species is its ecological role as biological control of aquatic plants, contributing to fertilization water and plankton production, and so be a kind of high ecological value [ 3 ]. Therefore, it is important to generate rescue and rehabilitation centers for this species, taking into account that the growth and development have to approximate to the performance of the animal in its natural habitat. For this reason is useful have a valid and easy to apply tools (i.e. predictor equations, weight/length ratios, body condition index, etc.) which are necessary in monitoring captive or semi-captive animals for the purpose of having an animal status indicator and improve the conditions (nutritional, environmental, structural, ethological, etc.) for its rehabilitation.

The body size is strongly correlated with many aspects of the life history of mammals, one of the most important traits of an individual and to a large extent, determines the strength and type of interactions between species [ 18 , 19 ]. Body length/weight ratio is widely used to monitor the growth and condition factor of several animal species [ 20 - 22 ]. Furthermore, the use of other biometrics such as curvilinear length and circumference of the body are also important tools in the estimation of body weight in predictive models, such as the seals [ 23 - 25 ].

In the case of the Amazonian manatee, the weight/length ratio was calculated only for calves up to three months of age [ 26 , 27 ]. Nonlinear growth models for this species have been studied using body length information from captive animals. The offered diet and implemented management can affect the characteristics of animal growth, whereby was suggested that there may be some difference between growth equations for captive animals concerning free living animals [ 28 , 29 ].

Having the tool to predict the body weight of animals using biometric measures could facilitate and improve the management of these animals in captivity, also reducing the effects of stress caused by the manipulation of the animal for weighing.

The objective of the present study was to evaluate the sensitivity of the biometric measurements of the Amazonian manatee as predictors of body weight, and to generate high reliability prediction equations to facilitate the monitoring and management of the growth of this species under captivity conditions.

2. Materials and Methods

The present study was performed with a total of seven calves of Amazonian manatee under captive conditions (4 males and 3 females); individuals belonging to the program of rescue of Aquatic Mammals of the Amazonian Rescue Center in the city of Iquitos-Peru. The animals were on average with each other apparent ages 8 months and body weight of 29.94 ± 0.055 kg. During the study animals were arranged in pools of sufficient size, provided shade, filter system and water renewal. Daily water temperature monitoring activities (greater than or equal to 23˚C) were carried out and the food supply was given in several servings per day with a dairy substitute (dairy formula used by the Rescue Center).

The weights and biometry of the calves were performed individually and periodically for 84 days. The biometric data was taken with a flexible measuring tape of 1.5 m with 1 cm of minimum unit and the body weight (BW) with an electronic balance of 200 kg of capacity and +/− 1 g of sensitivity, and the following variables were recorded: Total Curved Length (TCL), measure of length from the anterior cephalous-nasal end to the posterior end of the caudal fin, considering the curved perimeter of the body, defined by the dorsal line; Total length (TL), longitudinal measurement of the anterior cephalous-nasal end to the posterior end of the caudal fin, considering the projection of a straight line parallel to the vertebral column; Circumference (CIR), perimeter measurement of the abdominal circumference, similar to an imaginary transverse section at the navel section; width of fin (WF), referred to the largest segment of the pectoral fin; tail width (TW), measurement of the largest segment of the caudal fin; peduncle (PED), measurement of the perimeter circumference between the union of the body with the caudal fin.

Biometric data measurements and weight were subjected to Pearson correlation analysis and linear regression, using the statistical program SPSS 24.0. Using the same statistical program, biometric measurements (independent variables) of high correlation with respect to BW (dependent variable) were submitted to linear regression analysis, from which weight prediction equations were generated for each independent variable. In addition, three weight prediction equations using independent variables were calculated as follows: Equation (1) all independent variables with positive significant correlation, Equation (2) independent variables with coefficient of determination greater than 0.60 and Equation (3) coefficient variables with coefficient of determination greater than 0.80.

3. Results and Discussion

Data obtained during the evaluation are presented in Table 1. In the correlation analysis, it was found the following correlations of biometric measurements with BW: total curved length (0.910), total length (0.815), circumference (0.924), fin width (0.448), tail width (0.789) and peduncle (0.829); showed significant positive correlations (P < 0.05) between BW and total curved length (TCL), total length (TL), fin width (FW), tail width (TW), circumference (CIR) and peduncle (PED) (Table 2).

When performing the linear regression between the biometric measurements and the BW, the following prediction equations were obtained:
$\text{BW}=89.172\ast \text{TCL}-78.072$ (R^{2} = 0.829,
${R}_{aj}^{2}$ = 0.825) (Figure 1);

Table 1. Mean, standard deviation, maximum and minimum of data collected in the biometry of calves of Amazonian manatee (Trichechus inunguis) in captivity.

Table 2. Table of correlation coefficients of biometric measures with the body weight (N = 58) of calves of Amazonian manatee (Trichechus inunguis) in captivity.

$\text{BW}=80.100\ast \text{TL}-61.325$ (R^{2} = 0.663,
${R}_{aj}^{2}$ = 0.657) (Figure 2);
$\text{BW}=95.313\ast \text{CIR}-47.995$ (R^{2} = 0.855,
${R}_{aj}^{2}$ = 0.852) (Figure 3);
$\text{BW}=338.461\ast \text{FW}-2.556$ (R^{2} = 0.201,
${R}_{aj}^{2}$ = 0.187) (Figure 4);

Figure 1. Scatterplot of linear regression body weight-total curved length (N = 58) of calves of Amazonian manatee (Trichechus inunguis) in captivity.

Figure 2. Scatterplot of linear regression body weight-total length (N = 58) of calves of Amazonian manatee (Trichechus inunguis) in captivity.

Figure 3. Scatterplot of linear regression body weight-circumfe- rence (N = 58) of calves of Amazonian manatee (Trichechus inunguis) in captivity.

Figure 4. Scatterplot of linear regression body weight-fin width (N = 58) of calves of Amazonian manatee (Trichechus inunguis) in captivity.

$\text{BW}=209.925\ast \text{TW}-29.857$ (R^{2} = 0.622,
${R}_{aj}^{2}$ = 0.615) (Figure 5); and
$\text{BW}=99.977\ast \text{PED}-14.801$ (R^{2} = 0.688,
${R}_{aj}^{2}$ = 0.682) (Figure 6), of which the estimation errors were: 2.02, 2.83, 1.86, 4.35, 2.99, and

Figure 5. Scatterplot of linear regression body weight-tail width (N = 58) of calves of Amazonian manatee (Trichechus inunguis) in captivity.

Figure 6. Scatterplot of linear regression body weight-peduncle (N = 58) of calves of Amazonian manatee (Trichechus inunguis) in captivity.

2.72, respectively.

According to Rose (1994) [ 3 ], the total curved length is not a reliable variable because individuals with the same total length may have different curvilinear lengths depending on their nutritional status. However, in this study the total curved length was the second variable with the highest coefficient of determination with respect to body weight; which is consistent with that described by Colares (2002) [ 28 ] and Vergara-Parente et al. (2010) [ 30 ], who concluded that the total curved length is an important measure to describe the growth of manatees. The close relationship between this parameter and the body weight is evidenced by the high coefficient of correlation and determination in the linear regression, being a variable of great utility for the prediction of body weight.

Total length has been widely used in predicting body mass, body volume and growth curve in Amazonian manatees. In this regard, most animal species show a regression coefficient weight/length, about 3 [ 31 ], which has been evident in several aquatic mammals [ 32 - 35 ] including the Amazonian manatee reporting a regression coefficient of 3.122 [ 27 ] and 4 [ 26 ]. However, the regression coefficient obtained in the present study was higher (b = 80.1) than previously reported. This difference could be due to the fact that in the present work the data were analyzed in the scale of Kg/m, whereas in the previous works worked on scales of Kg/cm. Furthermore, in the case of Amaral et al. (2010) [ 27 ] used 91 data of manatees of different age ranges and total length (73.5 - 261 cm) and body weight (7.8 - 363 kg), in comparison with the present work that we analyzed 58 data of manatees of similar ages and weights, with ranges of total length (1.10 - 1.18 m) and body weight (23.7 - 44 kg), leading to a more homogeneous group of animals; and in the study by Rosas et al. (2001) [ 26 ] animals up to 3 months of age was analyzed. It is known that during the first year of life, most mammalian species gain more length, and only after weaning longitudinal growth increases in proportion to the weight and the regression coefficient tends to approach 3 [ 26 ]. With the results obtained in the present study suggests that the animals in the studied age (8 - 9 months) have a greater development.

Abdominal circumference has been little used in manatees; however, there are studies such as Amaral et al. (2010) [ 27 ] in which the weight ratio was analyzed, overall length and maximum circumference by linear multiple regression and body volume calculated using data from these variables. The measure of abdominal circumference has been mostly used in Pinnipeds [ 36 ], thus a study of Steller sea lions, concluded that there is a significant relationship between body weight, length and girth; in addition to obtaining a multiple regression equation that allows to estimate the body weight from measures of length and circumference. This is in line with what was found in this study, in which abdominal circumference showed the highest correlation coefficient (0.924) with respect to weight and its regression equation with body weight was the highest coefficient of determination (R^{2} = 0.855,
${R}_{aj}^{2}$ = 0.852), this allowed to calculate the Equation (3), summarized in the use of the variables girth and total length.

Measurements of fin width, tail width and peduncle have been used mostly for periodic monitoring of captive animals, but studies that use these variables as predictors of body weight could not be found. However, in this study the variables of FW, TW and PED showed high correlation coefficients (0.448, 0.789, 0.829) with respect to body weight and their coefficients of determination of the variables TW and PED were also high (R^{2} = 0.622,
${R}_{aj}^{2}$ = 0.615 and R^{2} = 0.688,
${R}_{aj}^{2}$ = 0.682).

In addition, we calculated three equations for prediction of body weight, Equation (1) was performed using all biometric measurements (TCL, TL, FW, TW, CIR and PED), in Equation (2) used biometric measurements LT, TW, CIR and PED (R^{2} > 0.6) and Equation (3) comprises biometric measures TCL and CIR (R^{2} > 0.8); whose results were as follows:

$\begin{array}{c}\text{BW}=\left(47.177\ast \text{TCL}\right)-\left(2.804\ast \text{TL}\right)-\left(63.198\ast \text{FW}\right)+\left(23.091\ast \text{TW}\right)+\left(48.250\ast \text{CIR}\right)\\ \text{\hspace{0.17em}}\text{\hspace{0.17em}}+\left(13.025\ast \text{PED}\right)-70.912\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\left({R}^{2}=0.968,{R}_{aj}^{2}=0.965\right).\end{array}$ (1)

$\begin{array}{c}\text{BW}=\left(39.983\ast \text{TCL}\right)+\left(0.237\ast \text{TL}\right)+\left(9.441\ast \text{TW}\right)+\left(49.929\ast \text{CIR}\right)\\ \text{\hspace{0.17em}}\text{\hspace{0.17em}}+\left(16.959\ast \text{PED}\right)-70.419\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\left({R}^{2}=0.966,\text{}{R}_{aj}^{2}=0.963\right)\end{array}$ (2)

$\text{BW}=\left(48.252\ast \text{TCL}\right)+\left(56.841\ast \text{CIR}\right)-75.385\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\left({R}^{2}=0.958,{R}_{aj}^{2}=0.957\right)$ (3)

Of these the estimation errors are: 0.91, 0.93 and 1.01, respectively.

By comparing the three body weight prediction equations obtained, all of them have high determination coefficients, ensuring the reliability of all equations. Equation (1) was the equation of the highest coefficient of determination and lower estimation error to predict body weight (R^{2} = 0.968,
${R}_{aj}^{2}$ = 0.965; 0.91). Equation (3) is of similar utility to the other equations, allowing the estimation of body weight with only two variables (TCL and CIR), facilitating the management of Amazonian manatee in rescue centers.

In conclusion, the biometric measurements of TCL, TL, FW, TW, CIR and PED showed a high correlation with the BW of manatee and can be used as predictive variables of the body weight, being easy to measure. We suggest new studies of prediction of BW using biometrics, with animals of similar age to the present study and with more data.

Acknowledgements

To the Amazon Rescue Center, Area of Aquatic Mammals (CREA, Iquitos-Peru). Work done with funding from the 6th Undergraduate Thesis Grant Competition (2016) of La Molina National Agrarian University, Faculty of Animal Husbandry.

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