Sektoriline

Sektoriline is a theoretical framework for modeling complex systems partitioned into discrete sectors, where each sector contains internal dynamics and is connected to neighboring sectors through defined sector lines. The model aims to capture both intra-sector processes and inter-sector interactions along these boundaries.

The name combines sector with a suffix that evokes lines delineating boundaries. The concept emerged in exploratory discussions within complex-systems research in the early 2020s as a thought experiment to formalize segmentation in networks, ecosystems, and urban systems. It is intended as a flexible abstraction that can be adapted to various domains without prescribing a single implementation.

In formal terms, consider a system composed of sectors i = 1 to N, each with a state x_i. Each sector has intrinsic dynamics f_i(x_i). Interactions across sectors are mediated by coupling terms g_{ij}(x_i, x_j) that respect the sector line between i and j. The evolution of each sector can be written as dx_i/dt = f_i(x_i) + sum_j g_{ij}(x_i, x_j) for neighboring sectors j. Sector lines also impose boundary conditions that model constraints, resource flow, or information transfer. Some formulations emphasize a hierarchical structure, with micro-level dynamics within sectors and macro-level behavior across the sector network.

Sektoriline differs from generic modular or multi-agent models by its explicit use of sector lines and boundary conditions. It is used as a neutral modeling tool for topics such as regional energy grids, land-use planning, digital networks, and ecological landscapes.

The framework remains largely theoretical, with practical challenges including subjective sector definitions and parameter estimation. As a modeling abstraction, it complements existing multi-scale approaches and can serve as a scaffold for scenario analysis and comparative studies.