Akademik Veri Yönetim Sistemi
International Journal of Informatics and Applied Mathematics, cilt.8, sa.2, ss.1-18, 2026 (Hakemli Dergi)
We develop a simplified yet efficient mathematical model to describe the processes of information transfer in various communication channels within forest ecosystems, including fungal mycelia-based networks, plant bioelectric fields, and the biotic pump mechanism. Studying the forest as a distributed informational system, we present diffusion-type partial differential equations for the spread of communication signals in these channels as continuous fields, rather than discrete elements in networks. Making the basic analysis of the solutions in the form of traveling waves for 1D and 2D, we demonstrate that in each channel, there is a competition between the spatial range of the signal spread and the speed of the signals: the fastest informational signal demonstrates the highest rate of spatial decay. This correlation reflects the fundamental necessity of having several channels for transmitting and processing information in distributed systems, such as a forest, with the absence of a single center for monitoring information processes. Each channel must compromise, whether it serves for fast informational signal speed for a short range with the high decay or provides the long-range signals, but with a sufficiently lower speed. The study of multiple competing information channels corresponding to different time scales of the ecosystem evolution emphasizes the need for an integrated approach to forest studies, taking into account the diverse contributions of various ecosystem components.