在冰層與陸地效應下的改良後的氣候-植被模型;A Modiﬁed Climate - Vegetation Model Including The Eﬀect of Ice on The Land

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题名:	在冰層與陸地效應下的改良後的氣候-植被模型;A Modiﬁed Climate - Vegetation Model Including The Eﬀect of Ice on The Land
作者:	施梅樺;Siahaan, Meiva Marthaulina Lestari
贡献者:	數學系
关键词:	非線性系統;微分方程;氣候和植被模式;nonlinear system;ordinary differential equation;climate-vegetation model
日期:	2017-07-24
上传时间:	2017-10-27 16:13:04 (UTC+8)
出版者:	國立中央大學
摘要:	修正能量平衡模型並且考慮自然跟人類因素而且使用布迪科模型來描述輸出的能量。地球的氣候系統可以分成還海洋跟陸地兩部分，海洋陸地可以被冰所覆蓋，但是陸地上的植被沒有被冰所覆蓋。此外，在考慮植被的面積比例的情況下，反照率的變化會影響溫度的平衡。我們使用冰的覆蓋率跟植被消失的比例來做為模型的參數，並且跟先前的結過比較，同時我們也計算不同的平衡溫度的穩定性。 ;In this thesis, we construct a new version of Energy Balance Model (EBM for short) in global climate system which describes the interaction of temperature and vegetation in Earth climate system. The modiﬁed climate system is a 2×2 nonlinear system of ordinary diﬀerential equations. To construct the Energy Balance Model, we consider the eﬀect from natural and human factors and use the linearization of Stefan-Boltzmann laws from Budyko’s works for outgoing energy. We maps the earth system into the combination of ocean and land. This complex system describes the cases that either ocean can be covered by ice, the land can be covered by ice (with fraction β) and the land covered by the vegetation, or no cover of ice and vegetation on the land. Furthermore, the change of albedo will aﬀect the temperature as well as the equilibria of the system in each region of Earth. We study the stability of the equilibria for this system by using the technique from Dynamical Systems and cases study in term of the variety of parameters β and η (death rate of vegetation). Finally, we compare our results with the previous results of some simple system.
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