  We study partial sums limits of linear random fields $X$ on $\mathbb{Z}^2 $
with spectral density $f({\mathbf x}) $ tending to $\infty,\, 0$ or to both
(along different subsequences) as ${\mathbf x} \to (0,0)$. The above behaviors
are termed (spectrum) long-range dependence, negative dependence, and
long-range negative dependence, respectively, and assume an anisotropic
power-law form of $f({\mathbf x})$ near the origin. The partial sums are taken
over rectangles whose sides increase as $\lambda$ and $\lambda^\gamma $, for
any fixed $\gamma >0$. We prove that for above $X$ the partial sums or scaling
limits exist for any $\gamma>0$ and exhibit a scaling transition at some
$\gamma = \gamma_0>0$; moreover, the `unbalanced' scaling limits
($\gamma\ne\gamma_0$) are Fractional Brownian Sheet with Hurst parameters
taking values from $[0,1]$. The paper extends \cite{ps2015, pils2017, sur2020}
to the above spectrum dependence conditions and/or more general values of Hurst
parameters.
