Assemblers create graphs by overlapping the ends of reads to determine which sequence comes after what. See example below:
ATGGTCGATC ---------------> ATGGTCGATCGTGTAGCT
ATCGTGTAGCT
Reads from repeat regions will have identical ends. Assemblers will often get confused in such cases because reads coming from such regions will have similar/identical ends.
A repeat region: ATATATATATATATAT------ATATATATATATAT-----ATATATTATAT
Reads from repeat region: [1] ATATATATAT [2] TATATATAT [3] ATATATTATAT
Now, it is hard to decide whether to merge [1] and [2], or [2] and [3] or [3] and [1] or all of them. Any incorrect merging will lead to false assembly.
We lose 2 important piece of information:
How many repeat regions are actually there? Assemblers often merge repeats (false interpretation).
What was the location or order of repeats?
So how PE sequencing helps?
Paired-end sequencing reads from both ends of a DNA fragment, and is capable of pairing ends together -- so you know what's on the ends of your fragments, even if each individual read doesn't overlap with its mate. Also, we know the distance between pairs.
Now, when you sequence a repeat and align paired end reads on a region flanking a repeat, you can identify which repeat region, the reads belong to. See below
Image Courtesy: http://www.anthonybaldor.com
as simple as it looks repeat is a repeat of letters "AAAAAAAAAAAAAAAAAAAAAAAAAA" or any other repeat type, so if your genome have wide range of repeats and its length is longer than your read: for example if your read is 100 and your repeat is 1000., so where this 100 read will fit in the 1000 begin end or where? this is the problem.
how paire end will resolve it? assume that you have
ATATATAT ATATAATTGAAAGGAA
and you have paire end read first is ATAT second is AAGG with distance in between is 14 bp that will make it easier cause you know the distance between them and this will help you even if there is repeat
so in paire end read you have more info like distance and ordination of read.
more could be found here http://seqanswers.com/forums/showpost.php?p=1350&postcount=5
and I quote