You don't show which species this is. I've taken a quick look at the human and mouse genome at those locations and neither have any genes around there. Looking at the pattern of expression, it looks to me like you have a series of short exons, followed by a long terminal exon, which you are marking as downstream of the gene.
Most genes in eukaryotes do have a long terminal exon, which includes the final part of the coding sequence, as well as the 3' UTR. In humans for example, the average UTR is as long as the coding sequence, and mostly is found in a single exon.
In less well studied genomes, the location of genes is often identified by aligning protein sequences from related organisms to the genome, and finding regions that could give rise to proteins of a similar sequence. This works pretty well, particularly when combined with gene prediction software working purely form sequence, and any EST/cDNA data that might exist for the species. However, while it works well for find open-reading frames/coding sequences (CDS), it works really badly, or not at all for annotating UTRs. Often in such genomes the region that is annotated as the "gene" just spans from the Start Codon to the Stop codon. But the expressed parts of genes span from the transcription start site to the transcription termination site, which might be several Kb up and downstream of the start/stop codons.
In better annotated genomes, much effort has been put into identifying the UTR sequence by using lots of cDNA/RNAseq/CAGE data, but such data just doesn't exist for non-model organisms. Even in humans its only been in the last few years that the UTR annotations have been anything like reliable. Even then, we are coming to realised that UTRs are highly variable from cell type to cell type and condition to condition, and that existing annotations only cover a subset of the total possible variation.
Thank you for your reply. Sorry, there are some omissions in the information. This is my problem. First of all, the species I study is sheep. Secondly, the left side of the red line I draw is indeed the gene region, while the right side of the red line is not in the gene region (the last continuous peak region, only a small part of which is really on the last exon of the gene, which is the place I separate with the red line). To sum up. The information I can confirm at present is that on the reference genome version I use, the region on the right side of the red line is really not on the gene, and there are no other annotated genes within a long enough distance downstream of the gene. Is that right? There are two main ideas: 1. This peak is the gene segment not included in the reference genome. 2. There are other "things" in this place.
I don't see genes in this location on the standard sheep genome either. The image you've included above doesn't show the gene annotation. But I'd bet good money that what you are seeing here is the annotation of the gene stops at the stop codon, but in reality the gene/transcript goes on for further than this.