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The evolution with recombination on neutral networks

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  • Suvorov, Vladimir
  • Mineo, Hirobumi
  • Saakian, David B.

Abstract

The concept of a neutral network fitness landscape is one of the key achievements of modern evolutionary theory. Such a landscape assumes the presence of a network of sequences where neighboring sequences are linked by single-point mutations. We construct an evolutionary model with recombination on a nearly neutral network fitness landscape, where there are small differences between neighboring sequences. We derive a steady-state equation and show that recombination significantly alters the steady-state distribution, although it only slightly alters the average fitness. When the system is far from the error threshold, recombination suppresses population dynamics on a neutral network fitness landscape, effectively freezing the population in its initial configuration at a high recombination rate. This effect becomes more pronounced as the recombination rate increases. However, near the error threshold, recombination can accelerate the dynamics, and an optimal recombination rate exists.

Suggested Citation

  • Suvorov, Vladimir & Mineo, Hirobumi & Saakian, David B., 2026. "The evolution with recombination on neutral networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 689(C).
    • Handle: RePEc:eee:phsmap:v:689:y:2026:i:c:s0378437126001536
    DOI: 10.1016/j.physa.2026.131417
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