Purpose

Agricultural crops play a crucial role in food security and require commensurating environmental conditions, including adequate rainfall to ensure optimum growth. However, in the recent past, a reduction in the agriculture crop yield has been observed due to the deteriorating rainfall pattern. This paper aims to present a novel mathematical model to analyze the impact of rainfall on the growth of agriculture crops, as well as the impact of cloud seeding for promoting the rainfall, in case of less rainfall to ensure the optimum growth of agriculture crops.

Design/methodology/approach

The authors formulate a mathematical model assuming that the growth of agriculture crops wholly depends on rainfall. Also, agricultural crops can sustain and give optimal yields at a threshold of rainfall, after which rainfall negatively affects the growth rate of agriculture crops. Further, if the agriculture crops get insufficient rain to grow, the authors assume that cloud seeding agents are introduced in the regional atmosphere in proportion to the density of cloud droplets to increase rainfall.

Findings

This research shows that while cloud seeding agents boost crop yield, excessive rainfall poses significant risks on the yield. For any given value of π1 (conversion of cloud droplets into raindrops because of introduced cloud seeding agents), we have identified the threshold value of ϕ (introduction rate of cloud seeding agents into clouds) where crop yield can be maximized.

Research limitations/implications

This model highlights the delicate balance between rainfall and cloud seeding, offering policymakers valuable insights for maximizing agricultural crop yields.

Originality/value

This research provides strategies to mitigate crop loss due to unpredictable rainfall patterns.

中文翻译：

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何时进行云播种以获得最大的农作物产量？建模研究

 目的

农作物在粮食安全方面发挥着至关重要的作用，需要相应的环境条件，包括充足的降雨以确保最佳生长。然而，最近由于降雨模式恶化，观察到农作物产量下降。本文旨在提出一种新的数学模型来分析降雨对农作物生长的影响，以及在降雨量较少的情况下播云对促进降雨的影响，以确保农作物的最佳生长。

设计/方法/方法

作者制定了一个数学模型，假设农作物的生长完全取决于降雨。此外，农作物可以在降雨阈值下维持并获得最佳产量，之后降雨会对农作物的生长速度产生负面影响。此外，如果农作物的降雨不足而无法生长，作者假设区域大气中会与云滴的密度成比例地引入人工增雨剂，以增加降雨量。

 发现

这项研究表明，虽然云播种剂可以提高作物产量，但过多的降雨会对产量构成重大风险。对于任何给定的 π1 值（由于引入人工云剂，云滴转化为雨滴），我们已经确定了 φ 的阈值（将人工云剂引入云中的速率），其中作物产量可以最大化。

研究局限性/影响

该模型突出了降雨和播云之间的微妙平衡，为政策制定者提供了宝贵的见解，以最大限度地提高农作物产量。

 原创性/价值

这项研究提供了减轻因不可预测的降雨模式而导致的作物损失的策略。