Circular layouts are mainly used (1) if the displayed sequence itself is circular, (2) to display a non-circular sequence in a space-saving way, and (3) to show interactions between different parts of the sequence(s) using a chord diagram.
Linear layouts are more intuitive and easy to read, but may be extremely long and require zooming and panning.
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The space-filling curve is more space efficient than a circular layout and are often used to display a global overview of the genome while maintaining the spatial distribution of features. However, space-filling curves can only show one feature set, and it's hard to visually estimate the distances between two positions in a sequence.