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Model: See complete model at https://squigglehub.org/models/dmartin89/fermi-contest. Note that it is a literate program, the program source itself with comments is intended to be judged.

Summary: This estimate challenges the common framing of climate migration as purely a humanitarian and economic burden by quantifying its potential positive impact on innovation. The most surprising finding is the scale of the potential innovation dividend - nearly 300,000 additional patents worth approximately $148 billion over 30 years. This suggests that climate migration, if properly supported, could partially offset its own costs through accelerated innovation.

The model reveals several counterintuitive insights:

  1. The concentration of migrants in innovation hubs could be more valuable than even distribution
  2. Network effects from increased diversity could nearly double innovation rates in affected areas
  3. The per-capita innovation value ($4,582 per migrant) is significant enough to justify substantial integration investment

Technique: This estimate was developed using Claude 3.5 Sonnet to gather and analyze data from multiple sources, cross-reference historical patterns, and validate assumptions. The model deliberately takes a conservative approach to avoid overestimation while still revealing significant potential benefits, while quantifying its uncertainty.