Real Coverage Breadth Ledger

Real Tiled Reads Reach Full Coverage at the Same Depth

The same real read count, length, and naive average depth as the gapped lesson, but a real non-overlapping tiled placement this time reaches exactly full real breadth-of-coverage (scenario: lmbio interval coverage). Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The same read count and length give the same naive ratio

A second real read set uses the same 5 reads of the same 8 bases against the same 40-base region, so the naive average depth is still 1 times — identical to the gapped read set's ratio.

5⋅8/40=15\cdot8/40=1
Real perfectly-tiled reads reach full real coverageThe same five reads, replaced instead of shifted, leave no gap and no overlap.average depth=1x (naive)real covered=40/40 = 1 (lmbio interval coverage)

Real placement, not the ratio, decides real coverage

This time the real reads tile the region with no overlap and no gap. A real lmbio interval-coverage computation finds all 40 of 40 bases genuinely covered — real breadth 1, exactly equal to the naive ratio this time, because the real placement happens to leave no gap for the average to hide.

40/40=1=140/40=1=1
Real perfectly-tiled reads reach full real coverageThe same five reads, replaced instead of shifted, leave no gap and no overlap.average depth=1x (naive)real covered=40/40 = 1 (lmbio interval coverage)