一个随机碳排放模型的动态分析和近最佳控制策略
Xinxin Wang1, Tonghua Zhang2, Sanling Yuan1
1College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China.
Chaos (Woodbury, N.Y.)
|October 1, 2025
概括
这项研究模拟了二氧化碳 (CO2) 排放,发现大环境波动可能导致人口崩,并不可持续地减少能源使用. 有效的二氧化碳减排需要平衡生态和经济因素,以实现可持续发展.
科学领域:
- 环境科学 环境科学
- 数学建模的数学建模
- 气候变化动力学 气候变化动力学
背景情况:
- 能源生产产生的二氧化碳 (CO2) 排放是气候危机的主要驱动因素.
- 了解二氧化碳水平,人口动态和在波动的环境中能源消耗之间的相互作用至关重要.
- 现有的模型往往缺乏捕捉现实世界环境不确定性所需的随机元素.
研究的目的:
- 开发和分析一个包含人口和能源消耗动态的随机碳排放模型.
- 调查近最佳控制 (NOC) 问题,以减轻环境波动下的二氧化碳排放.
- 建立有效的二氧化碳减排战略的条件,同时考虑生态和经济因素.
主要方法:
- 对碳排放,人口和能源消耗的随机微分方程模型的分析.
- 对自然进化场景的研究,以了解在不同的环境噪声水平下系统的行为.
- 应用Pontryagin随机最大原则来推导NOC问题的必要和足够条件.
主要成果:
- 足够大的环境噪音 (φ<0) 会导致不可持续的人口崩和零能源消耗,使二氧化碳恢复到工业化前的水平.
- 适度的环境噪声 (π>0) 导致系统具有独特的 ergodic 静止分布.
- 该NOC系统表明,有效的二氧化碳减排需要平衡生态可持续性与经济可行性.
结论:
- 政策制定者在不同发展阶段对减排战略的动态调整至关重要.
- 在二氧化碳减排方面,适应性决策可以实现大气稳定,同时确保经济和生态的可持续性.
- 该研究为理解和管理在随机环境中的碳排放提供了理论框架.
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