PIK2 is a coastal mega-development in Indonesia, converting thousands of hectares of cropland and tree cover into built environment. Satellite data from 2017–2024 records the transformation. The question is not whether enclosure happens — it visibly does — but whether mathematical tools from statistical mechanics and information geometry can quantify its structure with precision that narrative description cannot.
The answer is yes, and the precision reveals structure. The transformation pulse — the rate of landscape change — peaked at 0.405 radians per year during 2019–2020, a measurement of phase-transition-like behavior in land use. Expected absorption times: 46 years for cropland, 38.1 years for tree cover to be converted to built area. The built environment self-retains at 96.4% — once converted, land stays converted. This is an absorbing state in the Markov chain sense.
The percolation analysis is the sharpest finding. The giant connected component of built area persists at occupation probabilities far below the random percolation threshold. Random development at the same density would fragment into disconnected patches; planned development forms a connected whole. The connectivity is evidence of coordination — spatial growth that follows a plan, not stochastic accumulation.
The fractal dimension of urban boundaries increases over time, meaning the development's edge becomes more complex as it expands. The boundary is not a smooth frontier advancing uniformly but an irregular surface with increasing roughness — fingers of development reaching into unconverted land.
Information geometry measures the shape of change, not just the fact of it. The tools make visible what satellite images show but don't quantify: the rate, the irreversibility, the coordination, and the increasing complexity of the enclosure process.