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In 1990, Bertoin constructed a measure-valued Markov process in the frameworkof a Bessel process of dimension between 0 and 1. In the present paper, werepresent this process in a space of interval partitions. We show that this isa member of a class of interval partition diffusions introduced recently andindependently by Forman, Pal, Rizzolo and Winkel using a completely differentconstruction from spectrally positive stable L\'evy processes with indexbetween 1 and 2 and with jumps marked by squared Bessel excursions of acorresponding dimension between $-2$ and 0.

Diffusions on a space of interval partitions: construction from Bertoin's ${\tt BES}_0(d)$, $d\in(0,1)$