Ferreira Iuri E P, Zocchi Silvio S, Baron Daniel
Department of Exact Sciences, Luiz de Queiroz College of Agriculture, University of São Paulo (ESALQ-USP), Piracicaba-SP, Brazil.
Department of Exact Sciences, Luiz de Queiroz College of Agriculture, University of São Paulo (ESALQ-USP), Piracicaba-SP, Brazil.
Math Biosci. 2017 Nov;293:29-37. doi: 10.1016/j.mbs.2017.08.008. Epub 2017 Aug 26.
Reliable fertilizer recommendations depend on the correctness of the crop production models fitted to the data, but generally the crop models are built empirically, neglecting important physiological aspects related with response to fertilizers, or they are based in laws of plant mineral nutrition seen by many authors as conflicting theories: the Liebig's Law of the Minimum and Mitscherlich's Law of Diminishing Returns. We developed a new approach to modelling the crop response to fertilizers that reconcile these laws. In this study, the Liebig's Law is applied at the cellular level to explain plant production and, as a result, crop models compatible with the Law of Diminishing Returns are derived. Some classical crop models appear here as special cases of our methodology, and a new interpretation for Mitscherlich's Law is also provided.
可靠的肥料推荐依赖于拟合数据的作物生产模型的正确性，但通常作物模型是凭经验构建的，忽略了与肥料响应相关的重要生理方面，或者它们基于许多作者认为相互冲突的植物矿质营养定律：李比希最小养分律和米采利希报酬递减律。我们开发了一种新的方法来模拟作物对肥料的响应，该方法调和了这些定律。在本研究中，李比希定律应用于细胞水平来解释植物产量，结果推导出了与报酬递减律兼容的作物模型。一些经典作物模型在此作为我们方法的特殊情况出现，并且还为米采利希定律提供了一种新的解释。
