Decrease of Bicarbonate to compensate Respiratory alkalosis I am studying this claim


  Compensatory mechanism in respiratory alkalosis is decrease of SB i.e. bicarbonate ions ($\ce{HCO3^-}$).


There are reactions

$\ce{HCO3- \rightarrow H+ + CO3^{2-}}$ (conjugate base)

and

$\ce{HCO3- + H+ \rightarrow H2CO3}$ (conjugate acid)

but since the $pK_a$ for the second reaction is greater


decrease in $\ce{HCO3-}$ yields more acids 


so alleviates respiratory alkalosis.

To claim such a thing, I think you must know that the $pK_a$ for the reaction is greater, so change in bicarbonate ions' content results in bigger change in the second reaction.

How does the decrease of bicarbonate ions lead to decreased respiratory alkalosis?
Bicarbonate ion is amphiprotic, as you've recognized. It can react as both a Brønsted base and as a Brønsted acid in water solution:

As an acid:

$K_a = 4.8 * 10^{-11}$

$\ce{HOCO_2^- + H_2O &lt;=&gt; OH_3^+ + CO_3^{2-}}$

As a base:

$K_b = 2.1 * 10^{-4}$

$\ce{HOCO_2^- + H_2O &lt;=&gt; HO^- + H_2CO_3}$ (not really true carbonic acid). 

Through K value inspection, we can see that the bicarbonate ion preferentially reacts as a base in water solution. The magnitude of this difference is massive; $K_b$ is more than a million times greater than $K_a$. 

So by decreasing the concentration of bicarbonate ion, we can combat respiratory alkalosis.