does it really matter if you chop trees down on private property?
Native veg: Too right it does!
Introduced Veg (pine trees etc): Whatever, get rid of it
We of dubious white bread heritage have managed to completely f**k this country in less than 200 years...crazy, and we should be trying our asses off to preserve what little is left (that is, there is now only 2% of the original vegetation left before said white bread convicts got here - have a think about that...2%...what have we done...seriously that's fucked up).
Big old trees in particular are home for many cool animals like owls, gliders, bats etc. Understorey bush (like waist-head high stuff) is vital for birds and insects, without it you lose heaps of wildlife.
Also, for any other Mexicans reading this, if a tree / veg is over 10 years in age it is covered by the native vegetation framework which means you need to get a permit from DSE if you want to remove it. We always whinge when an old church etc is getting torn down, and I reckon that by removing native vegetation you're effectively removing your own country's natural heritage.
Also, don't go nailing random shit into trees either, especially gal nails / screws, it kills them! Do what I do, go buy treated pine posts and palings from the local timber mill for $12- a pop, they're treated (termites won't destroy your shore handiwork in under a year), they're straight, super easy to work with, they last forever and like Sam said, it's from a renewable resource (i.e, they grow it to be used instead of chopping the shite outta our own increasingly rare native forests) so we should be supporting that and using renewables wherever possible.