2022美国高中数模赛A题翻译及思路

思路：收集蜜蜂与时间的关系数据，用统计回归模型。

蜜蜂的需求（不仅仅是蜂蜜）

蜜蜂和其他一些重要动物对人类在地球上的生存至关重要。与蜂蜜生产一起，这些昆虫为许多树木和植物提供了重要的授粉作用，这些树木和植物为我们的生存提供了食物。2007年，蜂群崩溃症（CCD）一词被用来描述世界各地蜜蜂数量的下降。[1] 蜜蜂数量下降可归因于病毒、杀虫剂、捕食者、栖息地破坏和环境条件等因素。

需要考虑的一些信息（但您可以在网上找到其他有用的信息）：

蜂可以行进20公里，但通常停留在离蜂巢6公里以内。[2]

一个典型的蜂巢包含20000到80000只蜜蜂。

一只蜜蜂可以在一天内参观大约2000朵花或更多。

由于夏季工作量大，大多数蜜蜂都会累死自己，导致寿命缩短。

在秋季和冬季，蜜蜂可能活得更长一点（四到六个月）。

图片来源：pixabay.com

蜜蜂的活动水平、花粉消耗量和蛋白质丰度影响其寿命。

要求

1.开发一个模型来确定蜜蜂群体随时间的数量。

2.对模型进行敏感性分析，以确定哪些因素（如寿命、产卵率、受精卵/未受精卵比率或其他因素）对蜂群大小影响最大。

3.建立模型并预测你需要多少个蜂巢来支持一块20英亩（81000平方米）的土地授粉，这块土地上种植的农作物从授粉中受益。

4.为提供您开发的信息的网站创建一个非技术性的单页博客或信息图。

总页数不超过25页的PDF解决方案应包括：

一页摘要表。

目录。

您的完整解决方案。

一页博客或信息图。

参考列表。

注意：HiMCM竞赛对您提交的PDF解决方案有25页的限制。您提交的所有方面都超过了25页的限制（摘要表、目录、参考列表和任何附录）。

2022 HiMCM

Problem A: The Need for Bees (and not just

for honey)

Honeybees, along with a few other key animals, are critical to human

existence on our planet. Along with honey production, these insects provide the

vital role of pollination of many trees and plants that provide food for our

survival. In 2007, the term Colony Collapse Disorder (CCD) was created to

describe the decline of honeybee populations around the world.[1] Bee decline can be attributed to

factors such as viruses, pesticides, predators, habitat destruction, and

environmental conditions.

Some

information to consider (but you may find other helpful information online):

·

Honeybees can travel up to 20 km, but typically stay within 6 km of

their hive.[2]

·

A typical honeybee hive contains between 20,000

and 80,000 honeybees.

·

A single honeybee can visit approximately 2,000

flowers or more in a single day.

·

Because of the high workload during summertime,

most honeybees work themselves to death, resulting in a shorter lifespan.

·

During autumn and wintertime, honeybees

may

live a bit longer (four to six months).

Photo credit: pixabay.com

·

A honeybee’s level of activity, pollen

consumption, and protein abundance impacts itslifespan.

Requirements

1.

Develop a model to determine the population of a honeybee colony

over time.

2.

Conduct sensitivity analysis on your model to

determine which factors (e.g., lifespans, egg laying rates,

fertilized/unfertilized egg ratios, or other factors) have the greatest impact

on honeybee colony size.

3.

Model and predict how many honeybee hives you

will need to support pollination of a 20-acre (81,000 square meters) parcel of

land containing crops that benefit from pollination.

4.

Create a non-technical, one-page blog or

infographic for a website that provides the information you developed.

Your

PDF solution of no more than 25 total pages should include:

·

One-page Summary Sheet.

·

Table of Contents.

·

Your completesolution.

·

One-page blog or infographic.

·

References list.

Note:The HiMCM Contest has a 25-page

limit to your PDF solution submission. All aspects of your submission count

toward the 25-page limit (Summary Sheet, Table of Contents, Reference List, and

any Appendices).

References

[1] Yanes, J. (2021). The Devastating

Consequences of a World Without Bees. Openmind [Internet]. .

[2] Greenwood, D. (2022). How Far Do Bees

Travel? BeehiveHero [Internet]. /how-far-do-bees-travel-from-their-hives.

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