scholarly journals Bayesian analysis of energy balance data from growing cattle using parametric and non-parametric modelling

2014 ◽  
Vol 54 (12) ◽  
pp. 2068 ◽  
Author(s):  
L. E. Moraes ◽  
E. Kebreab ◽  
A. B. Strathe ◽  
J. France ◽  
J. Dijkstra ◽  
...  

Linear and non-linear models have been extensively utilised for the estimation of net and metabolisable energy requirements and for the estimation of the efficiencies of utilising dietary energy for maintenance and tissue gain. In growing animals, biological principles imply that energy retention rate is non-linearly related to the energy intake level because successive increments in energy intake above maintenance result in diminishing returns for tissue energy accretion. Heat production in growing cattle has been traditionally described by logarithmic regression and exponential models. The objective of the present study was to develop Bayesian models of energy retention and heat production in growing cattle using parametric and non-parametric techniques. Parametric models were used to represent models traditionally employed to describe energy use in growing steers and heifers whereas the non-parametric approach was introduced to describe energy utilisation while accounting for non-linearities without specifying a particular functional form. The Bayesian framework was used to incorporate prior knowledge of bioenergetics on tissue retention and heat production and to estimate net and metabolisable energy requirements (NEM and MEM, respectively), and the partial efficiencies of utilising dietary metabolisable energy for maintenance (km) and tissue energy gain (kg). The database used for the study consisted of 719 records of indirect calorimetry on steers and non-pregnant, non-lactating heifers. The NEM was substantially larger in energy retention models (ranged from 0.40 to 0.50 MJ/kg BW0.75.day) than were NEM estimates from heat-production models (ranged from 0.29 to 0.49 MJ/kg BW0.75.day). Similarly, km was also larger in energy retention models than in heat production models. These differences are explained by the nature of y-intercepts (NEM) in these two models. Energy retention models estimate fasting catabolism as the y-intercept, while heat production models estimate fasting heat production. Conversely, MEM was virtually identical in all models and approximately equal to 0.53 MJ/kg BW0.75.day in this database.

2019 ◽  
Vol 59 (7) ◽  
pp. 1253
Author(s):  
A. L. Ferreira ◽  
A. L. C. C. Borges ◽  
R. C. Mourão ◽  
R. R. Silva ◽  
A. C. A. Duque ◽  
...  

The nutritional energy requirements of animals for maintenance and weight gain, such as the energy partition of the diet, were determined in different feeding plans. Fifteen F1 Holstein × Gyr, non-castrated male bovines with a mean initial liveweight of 302 kg were used. The diets were corn silage and concentrate, formulated to enable gains of 100, 500 and 900 g/day, called low, medium and high weight gains, respectively. Tests of digestibility and metabolism were conducted to determine energy losses through faeces, urine and methane emissions. Heat production was determined using respirometry chamber. Net energy for maintenance was calculated as the antilogarithm of the intercept of the regression of the logarithm of the heat production, as a function of the metabolisable energy intake. Retained energy was obtained by subtracting the heat production from the metabolisable energy intake. With the increased consumption of dry matter, there was an increase in faecal and urinary energy loss. Retained energy increased linearly with the metabolisable energy intake. The net energy for gain in the diet did not differ among the treatments, such as the efficiency of use of metabolisable energy for weight gain kg (0.34). The net energy for maintenance was 312 kJ/kg LW0.75, and the metabolisable energy for maintenance was 523 kJ/kg LW0.75. The daily methane production (g/day) increased with the dry matter level and the daily loss represented 5.31% of the gross energy consumption.


2007 ◽  
Vol 87 (4) ◽  
pp. 571-577 ◽  
Author(s):  
Jean Le Dividich ◽  
Julia Marion ◽  
Françoise Thomas

Twenty-four newborn piglets were used to evaluate the digestibility of sow colostrum and milk and the efficiency of milk utilisation by the piglet. Within a litter, four piglets were allotted to one of the four treatments: killed at birth, or bottle-fed sow colostrum for 30 h and sow milk thereafter at the rate of 100, 200, or 300 g kg-1 d-1. Piglets were killed on day 8. Faeces and urine were daily collected and heat production (HP) was determined by indirect calorimetry on days 6 and 7, each day during three successive periods of 105–110 min. Energy retention (ER) was calculated as the difference between metabolisable energy intake (ME) and HP. ER was also determined over the 8-d period using the comparative slaughter (CS). There was no effect of level of feeding on energy and nitrogen digestibility. Milk energy digestibility and metabolisability (ME/GE × 100) and nitrogen digestibility were 98.2 ± 1.2 (SEM), 96.8 ± 1.4 and 98.3 ± 1.3%, respectively. Corresponding values for colostrum were lower (P < 0.01), averaging 95.2 ± 2.8, 92.6 ± 3.1 and 95.3 ± 2.9%, respectively. Efficiency of using milk ME for ER determined by indirect calorimetry or CS was similar and averaged 0.72 ± 0.02. The energy cost of 1 kJ of protein deposition was 1.77 (± 0.04) kJ (efficiency, 0.56), whereas the energy cost of 1 kJ of fat deposition was not different to 1 kJ. Key words: Piglet, colostrum, milk, energy, nitrogen


2006 ◽  
Vol 95 (6) ◽  
pp. 1082-1087 ◽  
Author(s):  
Kees de Lange ◽  
Jaap van Milgen ◽  
Jean Noblet ◽  
Serge Dubois ◽  
Stephen Birkett

Factorial approaches to estimate energy requirements of growing pigs require estimation of maintenance energy requirements. Heat production (HP) during fasting (FHP) may provide an estimate of maintenance energy requirements. Six barrows were used to determine effects of feedinglevel on components of HP, including extrapolated plateau HP following a 24h fast (FHPp). Based on a cross-over design, each pig was exposed to three feeding levels (1·55, 2·05 and 2·54MJ metabolisable energy/kg body weight (BW)0·60 per d) between 30 and 90kg BW. Following a 14d adaptation period, HP wasestimated using indirect calorimetry on pigs housed individually. Dynamics of HP were recordedin pigs for 5d during the fed state and during a subsequent 24h fast. Metabolisable energy intake was partitioned between thermal effect of feeding (HPf), activity HP (HPa), FHPp and energy retention. Feeding level influenced (P<0·05) total HP during the fed state, HPf and activity-free FHPp (609, 644 and 729 (se 31) kJ/kg BW0·60 per d for low, medium and high ME intakes, respectively). The value of FHPp when expressed per kg BW0·60 did not differ (P=0·34) between the three subsequent experimental periods. Feeding level did not (P=0·75) influence HPa. Regression of total HP during the fed state to zero metabolisable energy intake yielded a value of 489 (se 69) kJ/kg BW0·60 per d, which is a lower estimate ofmaintenanceenergy requirement than FHPp. Duration of adaptation of pigs to changes in feeding level and calculation methods should be considered when measuring or estimating FHPp, maintenance energy requirements and diet net energy content.


1999 ◽  
Vol 133 (4) ◽  
pp. 409-417
Author(s):  
D. E. KIRKPATRICK ◽  
R. W. J. STEEN

An experiment was carried out in 1994 to examine energy and nitrogen utilization of lambs offered two contrasting grass-based diets. The two forages, which were from the same parent herbage, were grass silage and grass which was conserved by freezing. They were offered as sole diets or supplemented with either 250 or 500 g concentrates per kg total dry matter intake (DMI) to give a total of six experimental treatments. Seventy-two Dutch Texel × Greyface (Border Leicester × Blackface) lambs, consisting of 36 males which were initially 36 (S.D. 4·9) kg liveweight and 36 females which were initially 34 (S.D. 2·5) kg liveweight were used. Ensiling significantly increased apparent digestibility of dry matter, energy and nitrogen (P<0·001), but had no significant effect on methane energy loss as a proportion of gross energy intake, metabolizable energy intake (MEI), heat production, energy retained, efficiency of utilization of energy for growth (kg) or nitrogen retention. Supplementation of forage with concentrates resulted in a curvilinear decrease in heat production expressed as a proportion of MEI (P<0·05) and a linear increase in energy retention, expressed as an absolute value or as a proportion of MEI (P<0·05). Supplementation of forage tended to increase kg when calculated using Agricultural Research Council estimates of maintenance energy requirements, but had no significant effect when alternative estimates of maintenance were used. It is concluded that ensiling had no effect on efficiency of utilization of energy or nitrogen as measured by indirect calorimetry.


1973 ◽  
Vol 81 (1) ◽  
pp. 173-177 ◽  
Author(s):  
R. H. Davis ◽  
O. E. M. Hassan ◽  
A. H. Sykes

SummaryEnergy balances have been determined, using the comparative slaughter procedure, over 3-week periods on groups of laying hens kept at ambient temperatures of 7·2, 15·6, 23·9, 29·4 and 35 °C.Energy intake declined as the environment became warmer (kcal ME/kg¾/day = 203· 1·13°C); heat production, as measured by the difference between energy intake and energy retention, also declined with increasing ambient temperature (kcal/kg¾/day = 151 – 1·11°C). There was a linear relationship between heat production and ambient temperature with no thermoneutral zone or critical temperature.The energy available for egg production remained almost constant at 50 kcal/kg¾/day equivalent to a rate of egg production of 82% at each ambient temperature.


2018 ◽  
Vol 58 (10) ◽  
pp. 1807 ◽  
Author(s):  
M. Caetano ◽  
M. J. Wilkes ◽  
W. S. Pitchford ◽  
S. J. Lee ◽  
P. I. Hynd

This study was conducted to evaluate the relationships between metabolisable energy (ME) intake and outputs of methane (CH4), rumen-derived carbon dioxide (rCO2), lung-derived carbon dioxide (lCO2), and total carbon dioxide output (tCO2) measured using an open-circuit gas-quantification system (GQS). Three trials were conducted to produce a wide range of energy intake and gas emissions to allow relationships between gas outputs and ME intake to be quantified. Gas emissions and ME intake were measured in eight Angus steers (455 ± 24.6 kg initial bodyweight; Trials 1 and 2), and in eight pregnant Angus heifers (503 ± 22.0 kg initial bodyweight; 5 months pregnant; Trial 3). Animals were fed twice daily to allow ad libitum intake in Trial 1, whereas in Trials 2 and 3, feed intake was restricted and energy density was varied to provide a wide range of ME intakes. Animals were allocated to individual pens during a 20-, 19- and 15-day experimental periods, and total faecal output was measured for the last 8, 4 and 4 days in Trials 1, 2 and 3 respectively. Gas emissions were measured for 16, 8 and 8 days after the adaptation period (4, 11 and 7 days) and each animal was allowed to visit the GQS every 2 h. Total CO2 in breath (tCO2) was separated into CO2 arising from rumen fermentation (rCO2) and CO2 in expired air from the lungs (lCO2) by manually identifying the eructations from normal breaths using the GQS gas-output trace. All CO2 outputs (lCO2, rCO2 and tCO2) were highly correlated with each other (r = 0.74–0.99; P < 0.01). Measurement of CO2 output was more repeatable with fewer days of measurement than was CH4 output. Metabolisable-energy intake was closely related to all three measures of CO2 output (rCO2, r = 0.69, P < 0.001; lCO2, r = 0.70, P < 0.001; and tCO2, r = 0.73, P < 0.001). Heat production was estimated from lCO2 output by assuming a value of 0.85 for the respiratory quotient of metabolised products. The heat production estimated at the extrapolated zero ME intake (0.52 MJ/kg0.75) was 60% higher than previous estimates of fasting heat production in cattle. However, our estimate was made under non-fasting, non-sedentary, non-thermoneutral conditions, so it may be a realistic estimate of maintenance energy requirement excluding heat increment of feeding. In conclusion, the open-circuit GQS can be used to provide estimates of the ME intake and heat production of cattle, and, as such, provides a valuable opportunity to describe the energy relations and efficiency of beef cattle in the field, with minimal interference to normal grazing patterns and behaviour.


1986 ◽  
Vol 26 (5) ◽  
pp. 523 ◽  
Author(s):  
WJ Fulkerson ◽  
RC Dobos ◽  
PJ Michell

Intakes of metabolisable energy (ME) in grazed herbage, silage, hay and grain were measured in dairy cows on 2 farmlets during 2 consecutive 12-month periods. Measured intakes were compared with predicted 'requirements' for ME, calculated by using values for liveweight and milk production measured during the 2 periods. These results validate the use of standard energy allowances to predict ME requirements of dairy cattle grazing in an environment similar to that described here. The measured (mean � s.d.) ME intake was 95 � 6.7% of predicted requirements using standard energy allowances.


1989 ◽  
Vol 49 (2) ◽  
pp. 333-334
Author(s):  
E. Sanz ◽  
V. Ortiz ◽  
C. de Blas ◽  
M. J. Fraga

Five hundred and fifty sucking New Zealand rabbits of three ages (1, 10 and 20 days) were used to measure metabolizable energy intake and heat production at five ambient temperatures varying between 12 and 36°C according to age. Critical temperatures and rate of heat production below them, decreased with age (32, 28 and 24°C; 20·8, 10·8 and 9·2 kJ/kg0·07 per day and °C at 1, 10 and 20 days of age respectively) as a result of the increase in thermal insulation. Energy retention also decreased below critical temperature at a similar rate to the increase of heat production, because rabbits could not increase their milk intake to meet their higher energy requirements.


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