CONTEXT

The maintenance of rejuvenated, productive plant tissue through regular and frequent pruning is essential to sustain high and stable coffee yields. Different coffee pruning systems have been described by means of well-written descriptions, and ingenious drawings and graphs. The mathematical representation of coffee pruning systems has never been attempted. Until now.

OBJECTIVE

To develop a mathematical modeling approach capable of describing plant tissue age and coffee bean yield dynamics for any coffee pruning system.

RESULTS AND CONCLUSIONS

In this paper, we develop mathematical models for simple (Nicaragua) and complex (El Salvador) coffee pruning system by using a special type of additive age-projection matrix, clock arithmetic, step functions, and coffee yield-age functions developed using expert knowledge. Simulations were run to answer three fundamental crop management questions: 1) how many years is the best pruning cycle, 2) when (at what age?) to start pruning, and 3) how different yield-age functions influence decisions on the best pruning cycle and age at first stumping?.

SIGNIFICANCE

Coffee pruning models can help coffee agronomists to design and test innovative pruning practices quickly, efficiently, and cheaply. Pruning models can be coupled with financial data to improve decision making in crop management. The mathematical approach used for Arabica coffee pruning systems is equally applicable to Robusta coffee.

中文翻译：

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阿拉比卡咖啡修剪系统中的年龄和产量动态建模

语境

通过定期和频繁的修剪来维持恢复活力、多产的植物组织对于维持高而稳定的咖啡产量至关重要。不同的咖啡修剪系统已经通过精心编写的描述以及巧妙的图纸和图表进行了描述。从未尝试过咖啡修剪系统的数学表示。到现在。

客观的

开发一种能够描述任何咖啡修剪系统的植物组织年龄和咖啡豆产量动态的数学建模方法。

结果和结论

在本文中，我们通过使用特殊类型的加性年龄投影矩阵、时钟算法、阶跃函数和使用专家知识开发的咖啡产量年龄函数，开发了简单（尼加拉瓜）和复杂（萨尔瓦多）咖啡修剪系统的数学模型. 运行模拟以回答三个基本的作物管理问题：1）最佳修剪周期是多少年，2）何时（在什么年龄？）开始修剪，以及 3）不同的产量-年龄函数如何影响最佳修剪的决策周期和年龄在第一次树桩？

意义

咖啡修剪模型可以帮助咖啡农学家快速、高效、廉价地设计和测试创新的修剪实践。修剪模型可以与财务数据相结合，以改善作物管理的决策。用于阿拉比卡咖啡修剪系统的数学方法同样适用于罗布斯塔咖啡。