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Estimating Amino Acid Requirements of Broilers Using Static: Production and Dynamic: Market Based Analysis

Published: October 21, 2016
By: Paul B. Tillman 1 and Nuntawadee “Nickki” Sriperm 2. / 1 Poultry Technical Consultant, Poultry Technical Nutrition Services, LLC; 2 Poultry Technical Analyst, Poultry Technical Nutrition Services, LLC.
Summary

The determination of the requirement for any nutrient usually employs fitting data to various mathematical prediction models. Because these various models give different results in regards to the optimal level of a particular nutrient, the resulting requirement point is up for interpretation. This therefore leaves in question the level to set as a minimum constraint when formulating a feed for a specific phase of production. It is customary that a breakpoint, or some percentage of a máximum response from these models, is used to indicate the ‘requirement’. Most all of these ‘requirements’ are aimed at maximizing some measure of production (either performance or processing) such as body weight, feed utilization, carcass weight, breast weight, etc.. Since the breakpoint is normally viewed as the point of maximum response, it is typical for nutritionists to arbitrarily set some level below this point as their formulation constraint. The decision of how much to reduce the level of this nutrient constraint point is, more often than not, based upon ‘knowledge’ driven from a ‘feeling’, ‘experience’, ‘faith’ or some other ‘belief’. Ideally, the most acceptable models employed above, even when not providing identical answers, should converge towards a rather narrow range for an acceptable “requirement”. From this subset of information, a constraint level for formulation purposes could perhaps be chosen. However, this approach is very static in that for a given set of data and for a given model, the determined breakpoint or requirement will never change. With this static approach, setting the nutrient constraint so as to maximize profit is directly ignored, even if indirectly targeted through ones ‘knowledge’. Employing a dynamic modeling approach including market conditions such as the price of feed and selling price of the commodity being produced (whole birds or of broiler parts) can lead to a single quantitatively defined formulation constraint point aimed at maximizing profit. The primary goal of setting optimal nutrient constraints, within feed formulation, should not simply be to minimize cost but to maximize profitability. Data analyzed within this paper evaluates the digestible lysine (dLYS) requirement determined from Static : Production analysis of carcass or breast meat weight and contrasts that against Dynamic : Market analysis , which maximizes profit, based on either carcass price or breast meat price. The Dynamic : Market approach to evaluating the level of a nutrient to feed, to optimize profitability, can be applied to any nutrient in which a dose titration response can be predicted. Conclusions from this particular analysis imply, even during times of high feed cost, attempting to increase profitability through reducing nutrient density will only lead to decreased performance, decreased efficiencies of production and inevitably a decrease in overall broiler profitability if the targeted nutrient is set below the optimal level.

 
Introduction
In recent years, several peer-reviewed papers have been published regarding the dLYS or other amino acid requirements of modern high-lean genotype broilers (Dozier et al., 2009a,b, 2010 and Everett et al., 2010). In addition, recommendations for nutrient levels at various phases and levels of broiler production have also been published (Tillman, 2007, 2008, 2010, 2011; Rostagno, 2011).
 
In this paper, a set of data from Dozier et al. (2010) will be utilized and examined in detail. In particular, the data from experiment 2 of that paper for body weight, body weight gain, feed conversion, carcass weight and breast meat weight will be evaluated. The experiment under review examined the dLYS requirement of male Cobb 700 broilers from day 28 to 42 across nine (9) titrated levels from 0.64% to 1.20%. The low and high dLYS diets, representing the basal and summit titration diets respectively, were formulated and manufactured and then blended in appropriate proportions so as to make seven (7) intermediate titration diets providing dLYS increments of 0.07% points. Each titration diet, as well as the 0.99% control diet was replicated across 12 pens, and were equalized to contain 23 birds each on day 28 providing 0.09 m2 of space per bird. Temperature and lighting regimes were maintained according to strict protocol as defined within the published paper. At day 43, 5 birds from each pen were processed to measure carcass weight and yield along with breast weight and yield. As weight is the commodity ultimately sold and therefore has a direct impact upon revenue generation and profitability, only carcass and breast meat weight be discussed here. Optimal dLYS levels, based upon fitting the data to quadratic broken-line analysis were reported for the performance and processing variables measured. In this report, the use of additional models and approaches will be used to fit the data for comparative purposes. This will be done using both Static : Production and Dynamic : Market analysis.
 
Static : Production Analysis
There are numerous models that can be used in determining a breakpoint or requirement point within a given set of data (Eits et al., 2005a; Sakomura and Rostagno, 2007, Pesti et al. 2009c). Several of these models generate plateaus where a maximum response is defined with the linear broken line (LBL) and Quadratic Broken Line (QBL) models being specific in this regard. The LBL always gives a lower requirement estimate than does the QBL and may be considered as under-estimating the requirement. The QBL model, due to its inherent diminishing response, near the breakpoint, is a better estimate for a biological response than is the LBL. Both the LBL and QBL models have been used extensively over time and so will not be further defined here. Another quite common model is the quadratic polynomial (QPmax); it provides a maximum response point that is usually quite high and may be considered as providing an over-estimation of the requirement. Because of this, it is quite common to see reported values as being some percentage (90%-95%) of the QPmax, for example. In this analysis, a factor of 90% of the QPmax is reported (QPmax90) as shown in Figures 1-5. Another model employed here uses a quadratic portion initially followed by a linear portion, where the linear portion is not forced into defining a plateau. It will be referred to as the Quadratic and Linear 2-slope broken line (Q&L 2-S BL) model. The Q&L 2-S BL model can mathematically be written as : Y = b0 + b1(X-Reqr) + b2(Reqr-X)2, where Y = Static : Production response (bodyweight gain, feed conversion, carcass weight, etc.), Reqr = dLYS requirement, (X-Reqr) = 0 if X < Reqr and (Regr-X) = 0 if X>Reqr. This model is somewhat similar to the QBL except that the linear portion can have either a positive or a negative slope, rather tan being a plateau with a slope of zero. The above four mentioned models can statistically provide an indication or measurement of fit through their respective R2 and sum square error (SSE) terms. While a larger R2 is desirable, a smaller SSE is even more desirable, so using an assessment that encompasses both of these terms can provide an indication as to which model best describes the dataset. As shown in Table 1, the models of the three performance variables and the two processing variables, which gave the best R2 and a SSE was the Q&L 2-S BL model (shown in italics), being just slightly better than the QBL.
 
As such, the Q&L 2-S BL model will be used in the Dynamic : Market analysis for determining the dLYS level, which maximized profitability.
 
Table 1. Static : Production model responses of Cobb 700 males from 28-42 days.
Estimating Amino Acid Requirements of Broilers Using Static: Production and Dynamic: Market Based Analysis - Image 1
 
Another assessment of the requirement invokes evaluating a single point of overlap (i.e., an intercept) between different models. One approach outlined by Sakomura and Rostagno (2007) used the common models, which typically provide the lowest and highest estimates, namely the LBL and the QPmax. As the LBL model doesn’t represent a true biological response, we have instead proposed and have also included the intercept point of the QBL and the QPmax in this paper, as another point of consideration. The results from these two intercept model analyses are included in Figures 1-5 and were in every case lower than either the QBL or the Q&L 2-S BL model estimates.
 
Static : Production (Performance) Measurements
Analysis of the dLYS level to maximize body weight yielded results ranging from 0.87% from the LBL model to 1.06% dLYS from the QPmax model and are shown in Figure 1. When ignoring these two extremes and evaluating the four model estimates, which converge towards a more common region of the graph, the range of estimated dLYS to maximize body weight is between 0.95% and 0.97%, averaging 0.96%, which is similar to the QPmax90 value of 0.95% dLYS. This dLYS requirement estimate is also similar to that noted from the two intercept models.
 
Estimating Amino Acid Requirements of Broilers Using Static: Production and Dynamic: Market Based Analysis - Image 2Figure 1. Static : Production Models to predict Body Weight.
Estimating Amino Acid Requirements of Broilers Using Static: Production and Dynamic: Market Based Analysis - Image 3
Figure 2. Static : Production Models to predict Body Weight Gain.
 Analysis of the dLYS level to maximize body weight gain are shown in Figure 2 and gave results from 0.87% of the LBL model to 1.05% dLYS of the QPmax model, both being very similar to those for body weight. The QPmax90 value of 0.94% is similar to that observed from the two intercept models. When ignoring the two extreme models (LBL & QPmax) and evaluating the four model estimates, which converge towards a more common region of the graph, the average is 0.95% and the range ofestimated dLYS is between 0.94% and 0.97% to maximize body weight gain. 
 
Analysis of the dLYS levels, which minimized the amount of feed per gain (feed conversion ratio), were between 0.88% of the LBL model to 1.08% dLYS of the QPmax model. It is typical for this variable to show a higher requirement than that for body weight or body weight gain. The plotted curves are shown in Figure 3. When ignoring the two extreme models and evaluating the four model estimates, which converge towards a more common region of the graph, the range of estimated dLYS is between 0.97% and 1.01%, with an average of 0.99%, to maximize feed utilization.
 Estimating Amino Acid Requirements of Broilers Using Static: Production and Dynamic: Market Based Analysis - Image 4
Figure 3. Static : Production Models to predict Feed Conversion Ratio.
 
The value of 0.97% dLYS calculated for QPmax90 was basically the same as that observed from the model intercept models. The combination of body weight gain curves and feed per gain curves were used to predict feed intake at any given dLYS level. For example, at a dLYS of 0.90%, the feed conversion ratio is projected at 1.82 whereas at a dLYS of 1.00% the feed conversion ratio would be 1.79, for an improvement of 3 points. This improvement in feed utilization drops feed intake by 17 grams per bird while increasing body weight gain by 14 grams per bird. These positive changes from feeding the higher dLYS level have the potential to increase profitability and so merit being examined further.
Static : Production (Processing) Measurements.
Analysis of the dLYS level to maximize carcass weight are shown in Figure 4 and gave results from 0.89% of the LBL model to 1.08% dLYS of the QPmax model, both being very similar to those for feed conversión ratio. When ignoring the two extreme models and evaluating the four model estimates, which converge towards a more common region of the graph, the average is 1.00% and the range of estimated dLYS is between 0.98% and 1.03% to maximize carcass weight. As with the above models, the QPmax90 value is quite similar to that observed from either intercept model. Estimating Amino Acid Requirements of Broilers Using Static: Production and Dynamic: Market Based Analysis - Image 5
Figure 4. Static : Production Models to predict Carcass Weight.

Estimating Amino Acid Requirements of Broilers Using Static: Production and Dynamic: Market Based Analysis - Image 6Figure 5. Static : Production Models to predict Breast Meat Weight. Analysis of the dLYS level to maximize breast meat weight yielded results range from 0.88% from the LBL model to 1.06% dLYS from the QPmax model and are shown in Figure 5. The value of 0.95% dLYS observed for the QPmax90 is similar to the values noted from the two intercept models. When ignoring the two model extremes (LBL & QPmax) and evaluating the four model estimates, which converge towards a more common region of the graph, the range of estimated dLYS to maximize breast weight is between 0.95% and 0.99% averaging 0.97%. 
 
The above requirement estimates shows the difficulty in settling upon one level of dLYS to use as a formulation constraint. However, using the four models from this analysis, which converge close to each other and have a narrow range in their requirement estimates, might be a starting point as an approach for consideration. In general, the intercept model approach and QPmax90 gave lower dLYS estimates than either the QBL or the Q&L 2-S BL models. Still though there is a slight range of values, so how does one choose a particular level to base a formulation constraint upon? Oftentimes this is done via an estimated guess based upon prior ‘knowledge’, ‘belief’, ‘feeling’ or perhaps even ‘faith’. It further raises the question as to what is the ultimate targeted goal : lowest cost per pound of meat?, lowest cost per calorie (i.e., calorie conversion)?, or should it be maximum profitability? Formulating a diet to the perceived lowest cost per pound of meat tends to drive nutrient density downwards and is not the same as formulating to maximize profitability. Clearly, the goal should be to maximize profitability and the only way to correctly set the optimal nutrient level to meet this target is through appropriate analysis. The resulting targeted dLYS level will change to some degree depending upon market conditions of feed cost and meat prices and should therefore not be a static value.
 
Dynamic : Market Analysis
Several papers have discussed the concept of choosing nutrient levels that will maximize profitability (DeBeer, 2009, 2010; Eits et al., 2005a,b; Lemme, 2005; Pack et al., 2003; Pesti et al., 2009a, b, c and Ziggers, 2011). In this analysis, using the Q&L 2-S BL model for body weight gain, feed conversion, carcass weight and breast meat weight, along with feed costs and market meat prices, the dLYS level to maximize profitability was determined. Extremes in feed ingredient prices from 2000 to 2011 were used to determine low and high values for corn, soybean meal, animal-vegetable fat blend, corn distillers dried grains with solubles (DDGS) and meat & bone meal to use in formulation. Corn DDGS, allowed up to 7.5% of the feed, was priced at 80% of corn and meat and bone meal, allowed up to 3.5% of the feed, was pried at 110% of soybean meal. The low and high ingredient prices were used to generate low and high extremes in overall formulated feed costs. As outlined by Dozier et al. (2010), a low 0.64% dLYS diet and a high 1.20% dLYS diet was formulated. At the low ingredient prices, feed costs had a spread of $35.80, being $90.48 and $126.28 per ton, respectively; whereas at the high ingredient prices, feed costs were $304.76 and $365.73 per ton, with a spread of $60.97. Ingredient costs, formulated feed costs and market prices are shown in Table 2 for the low and high price scenarios.
 
Table 2. Ingredient Input Costs and Output Prices used in Dynamic : Market Analysis.
Estimating Amino Acid Requirements of Broilers Using Static: Production and Dynamic: Market Based Analysis - Image 7
 
Two separate regression equations, once each for low and high priced feed, were generated to predict feed cost at any given dLYS level within the formulated range. As previously noted, feed intake was predicted using bodyweight gain and feed conversion equations and feed costs per bird were calculated from feed intake and the respective cost of the dLYS formula as determined via the appropriate regression equation. Total costs were comprised of feed costs and other costs (chick costs, grower costs, live haul costs, processing costs, etc).
 
Low and high market prices for carcass and breast meat were used from 2000 to 2011 to evaluate extremes in commodity market prices across this time. Carcass price scenarios were evaluated at $0.57 and $0.87 per pound and the optimal dLYS level, which maximized profitability, from the Dynamic : Market analyses are shown in Table 3. The predicted weight of the whole bird carcass coupled with carcass market price was used to determine the total revenue or value generated from selling the whole carcass. Profit was calculated as the difference between total revenue and total costs and was maximized via multiple software iterations across the range of dLYS levels offered.
 
Over the time period and pricing extremes evaluated, the best-case scenario (low feed costs and high carcass price) gave the highest dLYS level, for maximizing carcass profit, of 0.986%. Conversely, the lowest dLYS estimates (0.889%) from the Dynamic : Market analysis occurred at the worst-case scenario of high feed cost and low carcass price. These requirement estimates provide a dLYS spread of ~ 0.10% points (0.89% to 0.99%), across the wide feed cost and carcass price range. As expected, when carcass price increased or as feed costs decreased, the model maximized profit at a higher dLYS level. At the low carcass price of $0.57 per pound, a significant increase in feed cost, lowered the optimal dLYS level by 0.067% points (0.956% to 0.889%), as the higher feed cost an extra $216.40 per ton. Similarly, at the higher carcass price ($0.87 per pound), a decline of 0.022% points in the optimal dLYS level occurred, since the higher feed cost an additional $226.86 per ton. For the main effect of carcass price, at low feed costs, an increase of $0.30 per pound raised the dLYS recommendation by 0.030% points and at high feed costs, the dLYS estimate increased by 0.075% points. While it is of interest to note the relationships between these four scenarios in terms of optimal dLYS recommendations and changes in feed costs, what is ultimately and vastly more important are changes in carcass or whole bird profitability.
 
It is estimated the US broiler industry feeds a dLYS of ~ 0.90% during the phase from 28 to 42 days of age and that diet would cost $327.26 per ton using the prices in Table 2. Based upon high feed costs and carcass prices of $0.87 per pound, similar to situation in the 3rd quarter of 2011, the optimal dLYS level for maximizing profit was 0.964%, 0.064% points higher than industry practice. By feeding dLYS, which maximizes profitability, it is projected from this analysis that carcass weight would be increased by 17 grams, feed conversion improved by 2.5 points, feed intake decreased by 11 grams per bird, revenue increased by 2.5 cents per bird and profitability increased by 0.6 cents per bird ($6,000 per million birds). The overall implication from this analysis is that increasing the industry dLYS level by ~ 0.06% points during this phase and at high input costs, while increasing feed cost by $7.19 per ton or 1.7 cents per bird, profitability is nonetheless increased due to improved overall performance and efficiencies. This also occurs even though the feed cost per kg of carcass produced increases by 0.4 cents per bird. This sheds doubt on the concept of formulating feeds to a minimum cost per pound of meat produced, which is reality just drives the dLYS and overall nutrient density downwards, while simultaneously reducing performance and decreasing profitability.
 
Table 3. Dynamic : Market Analysis of Digestible Lysine that maximizes Carcass Profit.
Estimating Amino Acid Requirements of Broilers Using Static: Production and Dynamic: Market Based Analysis - Image 8
 
Breast meat prices were evaluated at $1.10 and $2.60 per pound and the optimal dLYS level, which maximized profitability, from the Dynamic : Market analyses are shown in Table 4. The predicted weight of breast meat coupled with the breast meat market price was used to determine the total revenue from breast meat. As other cut-up parts from the carcass also impact revenue, fixed prices for wings and leg quarters were also used in the analysis and estimated weights of those parts were based upon a fixed percentage of the predicted breast weight for each part. As noted above, profit was calculated as the difference between total revenue minus total costs and was done via multiple software iterations across the range of dLYS levels offered.
 
As with carcass profit optimization, the lowest determined dLYS recommendation (0.947%) from the Dynamic : Market analysis for maximizing breast meat profit occurred at the worst-case scenario of high feed cost and low breast meat price. The inverse best-case scenario of low feed cost and high breast meat price optimized breast meat profit at 0.98% dLYS, which was the highest estimate. These recommendations provide a rather narrow dLYS spread of ~ 0.03% points (0.95% to 0.98%), across a wide feed cost and carcass pricing range. As expected, when breast meat price increased or as feed costs decreased, the prediction model maximized profit at a higher dLYS level. At the low breast meat price of $1.10 per pound, and with a significant change in feed costs, the optimal dLYS level only fell by 0.015% points (0.962% to 0.947%), even though the higher feed cost an extra $222.40 per ton. Similarly, at the high breast meat price ($2.60 per pound), only a 0.008% point change in the optimal dLYS level (0.980% to 0.972%) was noted, even though the higher priced feed cost an additional $224.22 per ton. For the main effect of breast meat price, at low feed costs, increasing breast meat price to $2.60 increased the dLYS recommendation by 0.018% points and at high feed costs, the dLYS optimum increased by 0.025% points with feed costing an addition $1.19 and $2.97 per ton, respectively. While it is of interest to note the relationships between these four scenarios in terms of optimal dLYS recommendations and changes in feed costs, what is ultimately and vastly more important are changes in breast meat profitability.
 
Based on the analysis conducted here under high feed costs and low breast meat prices of $1.10 per pound, which is somewhat similar to situation in the 3rd quarter of 2011, the optimal dLYS level for maximizing profit was determined to be 0.047% points higher at 0.947% than the 0.90% dLYS the industry uses. By feeding dLYS at the level, which maximizes profitability, it is projected from this analysis that breast meat weight would be increased by 7 grams, feed conversion improved by 2.1 points, feed intake decreased by 7 grams per bird, revenue increased by 2.1 cents per bird and profitability increased by 0.6 cents per bird (an additional $6,000 in profit per million birds). The overall implication from this analysis is that increasing the industry dLYS level by ~ 0.05% points during this phase, at the high input or feed costs, while increasing feed cost by $5.19 per ton or 1.2 cents per bird, profitability is nonetheless increased. This also occurs even though the feed cost per kg of breast meat produced increases by 0.5 cents per bird at the higher dLYS. This again sheds doubt on the concept of formulating feeds to a minimum cost per pound of breast meat produced, which is reality just drives the dLYS and overall nutrient density downwards, while simultaneously reducing performance and decreasing profitability.
 
In late August of 2011, breast meat price was actually around $1.50 per pound. Under this commodity price scenario, the Market : Dynamic model optimized at a dLYS level of 0.956%, or 0.056% points higher than the current industry practice. By feeding dLYS at the level which maximizes profitability, it is projected from this analysis that breast meat weight would be increased by 8 grams, feed conversion improved by 2.4 points, feed intake decreased by 9 grams per bird, revenue increased by 3.0 cents per bird and profitability increased by 1.3 cents per bird (an additional $13,000 in profit per million birds). The overall implication from this analysis is that increasing the industry dLYS level by ~ 0.06% points during this phase, at the high input and feed costs experienced during this time, while increasing feed cost by $6.36 per ton or 1.5 cents per bird, profitability is significantly increased. This also occurs even though the feed cost per kg of breast meat produced increases by 0.6 cents per bird. This further sheds doubt on the concept of formulating feeds to a minimum cost per pound of breast meat produced, which drives the dLYS and overall nutrient density downwards, while simultaneously reducing performance and decreasing profitability.
 
Table 4. Dynamic : Market Analysis of Digestible Lysine that maximizes Breast Meat Profit.
Estimating Amino Acid Requirements of Broilers Using Static: Production and Dynamic: Market Based Analysis - Image 9
 
Conclusion
From this analysis, it is noted that several models and approaches can provide similar estimates of the dLYS requirement of Cobb 700 male broilers from 28 to 42 days of age as there is some convergence across their respective estimates. These dLYS values are between 0.94% and 1.03% for optimizing Static : Production variables such as bodyweight, bodyweight gain, feed conversion, carcass weight and breast meat weight, based on the four central models. Even though this range is narrowed with the exclusion of the LBL and QPmax models, it still leaves a great deal of interpretation as to the optimal level to set as a constraint within feed formulation. The averages from the 4-model approach for carcass and breast weight however are 1.00% and 0.97% dLYS, respectively and do a respectable job of approximating the dLYS optimum, under the best-case scenarios of 0.99% and 0.98% for optimizing carcass and breast meat profit. This leaves in question though the level of dLYS to use during times when conditions are not near the best-case scenario. A more accurate approach of evaluating the optimal dLYS that will maximize profitability is through Dynamic : Market analysis, which uses Static : Production data to predict the response from various dLYS levels, but couples that predicted response to current commodity market prices. In this case, the key market prices of interest are feed ingredient prices, which ultimately drive feed formulation costs, making up 70% of the cost of production, and the selling or market price for broiler meat on ether a carcass or a parts (breast meat) basis. Using the results from Dynamic : Market analysis, the range of dLYS levels to maximize profitability, across a wide range of feed costs and market prices, for carcass weight ranged from 0.89% to 0.99%; whereas those for maximizing breast meat profitability ranged from only 0.95 to 0.98% dLYS. Using this iterative computer model generated approach along with a specific carcass or breast meat selling price, a single quantitative dLYS level can be provided, which will optimize profitability. Of course, the Dynamic : Market approach to evaluating the level of a nutrient to feed, to optimize profitability, can also be applied to any nutrient in which a dose titration response can be predicted. It has often been stated that poultry industry profitability increases when feed costs are high – namely because production cut backs ultimately raise the meat selling price, which is the real driver in revenue generation. Attempting to increase profitability through reducing nutrient density just leads to decreased performance and increased inefficiencies of production. As such, during tough times when feed costs are very high, reducing nutrient density will inevitably lead to a reduction in overall broiler profitability.


Presented at Technical Symposium of The Poultry Federation (TPF) Arkansas Nutrition Conference 2011.
 
 
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Authors:
Paul B. Tillman, Ph.D.
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Ismet Mamode
Food & Allied Group of Companies
30 de octubre de 2016
Very good article. The relation of FEED COSTS to NUTRIENT DENSITY and PROFITABILITY is important in the amino acids requirements for broilers
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