Pressure effects on organisms in a canyon 1-3 miles below sea level.

Imagine that there was a vast canyon on the earth somewhere, stretching across at least 100 miles.

This canyon is deep. It goes down one mile in some places, and three miles in other places.

What would be the air pressure effects of this canyon, if it existed?

Would it be impossible to fly an airplane or for a bird to fly over this vast empty space? Would air pressure factors either inhibit or enhance flight over this canyon?
Would it be possible to breathe at the bottom of this canyon? Would the air pressure crush a man at the bottom? Would he feel the effects gradually as he went down?
Would there be any lift or "dragging down" effects if anyone tried to cross such a vast canyon with an airplane? Or a bird?
What would the weather patterns be like around this kind of an anomaly?

I've been puzzling over this scenario for two years. I'm anxious to know if anyone here might have a few answers for me. (I was referred here by a Curious Droid video.) Thanks for reading. -Jack Mikkelson

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`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
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Note: you must add a full line of space before and after lists for them to show up correctly
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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$