Excuse me for being radical, but I sincerely believe dogs have no place in our small light planes, unless VERY well secured. I must admit I am not a dog lover, and never having had one I am not acquainted with the race, but I understand no dog is guaranteed against the one incomprehensible moment of madness. This has provoked accidents bad enough with cars - in a plane I daren't even imagine what could happen.
And yes I know you Brits adore pets - I kept my first reply behind, out of respect.
Then best of you keep out of the debate as you know so little of dogs?
My Yorkie is highly unlikely to attempt to seize control of the aircraft or find anything to damage. She likes flying, has hundreds of hours and is great company. She even fly's at work with me on occasion.