How does a positive capital shock cause an increase in land price? I am trying to determine the exact theoretical mechanism for a positive capital shock to create an increase in land price.

Assuming output is a function of land ($L$), labour ($N$)  and capital ($K$) : 

$$ Y = A f (L, N, K) $$

I am unsure if I am correct, but so far I have,

Positive capital shock -> increase in the MPK -> labour demand rises -> wage rises -> qty supplied of labour rises -> MPN rises -> with more workers available to work the land, each additional unit of land is able to produce more output -> MPL rises -> price of land rises. 

If you know any papers that deal with this particular mechanism please let me know also.
You might want to assume a Cobb-Douglas production function for the sake of simplicity. 

$Y=A L^{\alpha_1} N^{\alpha_2} K^{1-\alpha_1-\alpha_2}$

Hint: Look at to the cross derivatives.