Lasioglossum laevissimum was studied in Calgary, Alberta, where it is
eusocial with one worker brood. Estimates of relatedness were obtained
among various categories of nestmate based upon four polymorphic enzy
me loci, two of which exhibited significant levels of linkage disequil
ibrium. Relatedness estimates among workers and among reproductive bro
od females were very close to the expected 0.75 value that obtains whe
n nests are headed by one, singly mated queen. However, relatedness be
tween workers and the reproductive brood females they reared was signi
ficantly lower than 0.75. A low frequency of orphaning with subsequent
monopolisation of oviposition by one worker brood female in orphaned
nests may explain these results. Workers were significantly more and q
ueens significantly less closely related to male reproductives than ex
pected if all males were to have resulted from queen-laid eggs. Orphan
ing and worker-produced males contribute to this result. The sex inves
tment ratio was 1:2.2 in favour of females, in excellent agreement wit
h the predictions based upon relative relatednesses between workers an
d reproductive brood males and females. Adaptive intercolony variation
in investment ratios was detected: the sex ratio was more heavily fem
ale-biased in nests in which the relative relatedness asymmetry betwee
n workers and reproductive brood was more female-biased. The study spe
cies is the most weakly eusocial hymenopteran for which relatedness es
timates and sex ratio data are available. With high relatedness among
nestmates and a strongly female-biased sex ratio, this study suggests
the importance of indirect fitness contributions in the early stages o
f social evolution.