it dont matta wat sort of barking ur dog does...if petty neighbours ave a prob wiv it then ur as good as fooked unless u can keep ur dog quiet as a mouse

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sorry to sound abit harsh but its true....if they report u once then the chances are they will report u again and again, wether ur dogs doing little or alot of barking.
All u have ta do is figger out a way to try keep her quiet the magority of the time or risk losing her or ur home.
if u have to go out at all to work or wat ever then maybe try giving her a kong filled wiv her fav treat...or peanut butter...if poss record her wile ur away to see if this works or not, At least recording her can at least give u an idea on a way to act on her behaiviour? maybe drop her round to family or m8s who can watch her wile ur out if she continues to bark or bring in a behaiviourist????