Analysis of competition-environment hybrid system: Planetary warming and pattern formation

2021 Fiscal Year Final Research Report

• Project/Area Number: 19K14603
• Research Category: Grant-in-Aid for Early-Career Scientists
• Allocation Type: Multi-year Fund
• Review Section: Basic Section 12040:Applied mathematics and statistics-related
• Research Institution: Kwansei Gakuin University
• Principal Investigator: Kageyama Maya 関西学院大学, 理学部, 助教 (80824060)
• Project Period (FY): 2019-04-01 – 2022-03-31
• Keywords: 反応拡散系 / パターン形成 / 惑星温暖化 / デイジーワールド / 数理モデル / 植生と環境

Outline of Final Research Achievements

Daisyworld model is known as one of the Earth system model, which simplifies the interaction system between life and its environment. I conducted analytical and numerical studies on Daisyworld model added anew the greenhouse effect. First, by investigating the stability and instability of the solutions, I clarified the structure of the solutions of the system and narrowed down the parameters to obtain the spatial pattern. In fact, some pattern solutions were obtained by numerical simulation. Furthermore, it was showed that when the greenhouse effect of the planet is strengthened or weakened, the vegetation on the planet autonomously regulates the temperature of the planet while changing its habitat and biomass.

Free Research Field

数理解析学

Academic Significance and Societal Importance of the Research Achievements

本研究では，温室効果が強まる中で，温度が植生にとって適した値に保たれているにもかかわらず，その水面下では植生が自らの生育域，生物量を大きく変化させていることを明らかにした．これは植生の分布パターンを観測することが，温室効果の影響度合いを測る新たな指標となることを示唆している．さらに，先行研究との比較によって，非常に長い期間においても僅かである太陽光度の強まりと温室効果の強まりが同程度もしくはそれ以上の影響を植生に与える可能性を明らかにした．これは温室効果ガスの減少が地球温暖化の抑止のための喫緊の課題であることの一つの証左となり得ることを意味する．