Ormandaki Bilgi Sinyalleri: Çevresel Bağlamda Saha Modelleme Yaklaşımı

Abstract

Orman ekosistemlerindeki çeşitli iletişim kanallarındaki bilgi aktarım süreçlerini tanımlamak için basitleştirilmiş ancak etkili bir matematiksel model geliştiriyoruz. Bunlara mantar miselyum tabanlı ağlar, bitki biyoelektrik alanları ve biyotik pompa mekanizması da dahildir. Ormanı dağıtılmış bir bilgi sistemi olarak inceleyerek, bu kanallardaki iletişim sinyallerinin ağlardaki ayrı elemanlar yerine sürekli alanlar olarak yayılması için difüzyon tipi kısmi diferansiyel denklemler sunuyoruz. Her iki durum için de, 1B (düzlemsel cephe dalgası) ve 2B (radyal simetrik dalgalar) için çözümlerin temel analizini yaparak, her kanalda sinyal yayılımının mekansal aralığı ile sinyal hızı arasında bir rekabet olduğunu gösteriyoruz. Kanal, ister kısa bir menzil için yüksek bozunma ile hızlı bilgi sinyali hızı sağlasın (veya bu bozunmayı aşmak için yeterli enerji tüketsin) ister uzun menzilli sinyalleri yeterince düşük bir hızla sağlasın, bir uzlaşmaya varmalıdır. Farklı özelliklere sahip birkaç kanalın varlığının, ormanın bilgi aktarımı için gerekli dengeyi sağlamasını sağladığını düşünüyoruz. Makale 12. Uluslararası Temel ve Uygulamalı Bilimler Kongresi 2025’te (ICFAS2025) sunulmuştur.

Keywords

• Karmaşık rekabet dinamikleri
• Yayılma tipi bilgi süreçleri
• Mantar miselyum tabanlı ağ
• Biyoelektrik alanlar
• Biyotik pompa mekanizması

Information Signals in the Forest: Field Modeling Approach in the Environmental Context

Abstract

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.

Keywords

• Complex Dynamics
• Diffusion-type Information Processes
• Fungal Mycelia-based Network
• Bioelectric
• Biotic Pump Mechanism

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