Department of Geography, University of Illinois at Urbana-Champaign, IL.
Department of Animal Sciences, University of Illinois at Urbana-Champaign, IL.
J Anim Sci. 2019 Apr 3;97(4):1600-1608. doi: 10.1093/jas/skz027.
Our objective was to examine the potential of limit feeding that keeps a previously growing animal at a constant size (termed progressive limit feeding) to maximize profit using a 3D surface to integrate the effects of animal size, feeding rate, and time in the feedlot. The constant size contours of the surface were determined using a combination of results. We used data from a study of growing beef cattle being fed to maintain specified sizes coupled with modern growth rate data for animals fed ad libitum in a feedlot. These feed rate contours were best-fit declining exponentials. They shared the same exponent and they originated on the ad libitum curve, thus defining the entire possible growth surface. The asymptotes of these exponentials coincided with the interspecies mean for the metabolic body size of mature animals. This surface also demonstrated the phenomenon of compensatory growth. We proved that the most profitable growth path across this surface is of a particular form under realistic assumptions. Specifically, we proved that the profit maximizing growth path in the feedlot began with a period of progressive limit feeding and then allowed ad libitum feeding to the same market time as experienced by the standard continuous ad libitum fed animal. The opportunity cost of holding the progressively limit-fed animal longer in the feedlot than the animal fed ad libitum quickly overpowered any profit gained by limit feeding. Consequently the progressively limit-fed animal on the optimal feeding path at sale time was slightly smaller but potentially more profitable than the animal fed ad libitum, both slaughtered at the same time. It may also have an economically favorable body composition. Thus we have demonstrated a process for maximizing profit in the feedlot. The approach involved developing a growth surface to integrate the effects of progressive limit feeding and subsequent compensatory growth. After refinement this same process could be applied to other livestock.
我们的目标是研究限制饲养的潜力,这种饲养方式可以使正在生长的动物保持恒定的大小(称为渐进式限饲),通过使用 3D 曲面来整合动物大小、饲养率和在饲养场时间的影响,从而实现利润最大化。该曲面的恒定大小轮廓是通过组合结果确定的。我们使用了一项研究中不断生长的肉牛的数据,这些肉牛被喂食以维持特定的大小,同时结合了现代饲养场中自由采食动物的生长率数据。这些饲料率轮廓是最佳拟合的递减指数。它们具有相同的指数,并且起源于自由采食曲线,从而定义了整个可能的生长曲面。这些指数的渐近线与成熟动物代谢体型的种间平均值重合。该曲面还展示了补偿性生长的现象。我们证明,在现实假设下,穿过该曲面的最有利可图的生长路径具有特定的形式。具体来说,我们证明了在饲养场中,利润最大化的生长路径首先是渐进式限饲期,然后允许自由采食到与标准连续自由采食动物相同的市场时间。与自由采食动物相比,将渐进式限饲动物在饲养场中饲养的时间延长的机会成本很快超过了限饲带来的任何利润。因此,在销售时,最佳饲养路径上的渐进式限饲动物略小,但潜在利润更高,而且同时屠宰。它可能还有一个在经济上有利的身体组成。因此,我们已经证明了一种在饲养场中最大化利润的方法。该方法涉及开发一个生长曲面,以整合渐进式限饲和随后的补偿性生长的影响。经过改进,这个过程可以应用于其他牲畜。