Pioneers of the Carbon Cycle: FUNGI

Abstract

The carbon cycle is one of the most important cycles in the Earth's ecosystem. Furthermore, fungi are a key part of the carbon cycle, and their ability to decompose organic matter such as wood and garbage can renew and utilize the carbon in organic matter. This paper combines the logistic model, the first-order kinetic equation, the GLV model and some auxiliary means to analyze the growth and reproduction of fungi. The ability to degrade organic matter is also considered. Also, we obtain the decomposition model of the fungi under the coexistence of many colonies. Firstly, we introduce the logistic model and the first-order kinetic equation (for the first- order reaction) to get the single colony degradation (SCD) model. Then, we get a relatively excellent degradation speed equation. After demonstrating its effectiveness, we extend it into the case of multiple colonies. When it comes to the condition of various colonies, we first classify the colony by Q cluster analysis, then extend the logistic model part in the SCD model to the Gause-Lotka-Volterra (GLV) model. Moreover, we get the rules of colony reproduction under the condition of multi-types fungi. It is found that under other fixed conditions, competitive types will eventually eliminate others. At the same time, we deduce the equation of the descent rate of the multi-types condition on the population quantity, and find that the decomposition ability of the multi-colony can reach the maximum when the competitive ability of each colony is relatively balanced and the degree of competition is appropriate. Then, based on the model, we find many examples of fungi and use their parameters to demonstrate that different climates lead to different species types. At the same time, by treating weather conditions as random quantities, we show that when the weather changes rapidly, there are more competitive colonies in the dry environment while the wet environment may make the low competitive colonies multiply into the largest number of colonies. When modelling, we also give the effect of biodiversity on two aspects of colony degradation, and draw the conclusion that biodiversity is usually helpful for decomposition. Finally, we analyze the sensitivity of the model, explain the influence of parameter changes on the model, and analyze the process of selecting the degradation velocity equation. At the same time, we explain the advantages and disadvantages of the model, and put forward the improvement measures and expansion schemes to make the model more reasonable.