Your observation is correct: edge trees in dense stands produce more acorns. Crowding limits crown development, photosynthesis, and reproductive output.
40 acres warrants a forester's prescription. Contact your state forestry agency for a management plan. Reference: Whitetail Stewards articles on acorn management (linked in original).
Transplanting Young Oaks in Mid-September: Wait for Leaf Drop
Precocious Acorn Production on Young Live Oaks: Genetic Variation
Prickly Balls on Live Oak: Harmless Insect Galls
Post Oak Pruning in Texas: Oak Wilt Prevention Timing
Optimal Pruning Time for Florida Oaks: Avoiding Oak Wilt
Oak Tree Root System: Shallow and Wide-Spreading
Acorn Production: Not Just Oaks, and Early in Landscapes
Gravel Fill Kills Oak Roots: Remove Fill, Water Deeply
Diagnosing and Managing Hypoxylon Canker in Oak Trees
Willow Oak Bronze Leaves in Atlanta: Drought or Planting Issues
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