Experiment 1: The effects of food conditions on molting
Fig. 3 shows the cumulative molting rate of solitary deutonymphs. Under moderate nutrient conditions (control), solitary deutonymphs exhibited low molting rate (Fig. 3d). The cumulative molting rate on the 10th day was 3-times higher in males (26/99) than in females (10/135). Survival analysis (Cox proportional hazards model) detected a highly-significant difference between sexes (no. parameters = 1, d. f. = 1, likelihood ratio Chi-square = 15.3555, P < 0.0001). No individuals died during 10 days.
However, when food resources were drastically increased, the solitary individuals quickly respond (Fig. 3a~c). More than 50% of individuals molted to adult within a few days. Males show the higher molting rate than females. Survival analysis (Cox proportional hazards model) detected a highly-significant difference among the four groups (Fig. 3) (no. parameters = 3, d. f. = 3, likelihood ratio Chi-square = 38.4473, P < 0.0001) and between sexes (no. parameters = 1, d. f. = 1, likelihood ratio Chi-square = 21.3086, P < 0.0001). Even if the control samples (n = 234, 84% of all samples) are excluded from analysis, the differences are still significant among three treatments (Fig. 3a~c) (no. parameters = 2, d. f. = 2, likelihood ratio Chi-square = 7.1877, P = 0.0275) and between sexes (no. parameters = 1, d. f. = 1, likelihood ratio Chi-square = 7.1954, P = 0.0073).
Experiment 2: The effect of pairing on molting
Fig. 4 shows the cumulative molting rate of a deutonymph (DN) paired with another individual (two individuals in a vial). In the pairs of two deutonymphs, molting of both individuals were tracked. Thus, “DN♀ + DN♀, n = 38” (Fig. 4a) means 16 pairs of female deutonymphs (16 vials) were investigated. In the pairs of a deutonymph and an adult (A), only deutonymphs are checked so that “DN♀ + A♂, n = 16” (Fig. 4c) means that 16 pairs (16 vials) were examined.
When paired with a deutonymph of the same sex (Fig. 4a), approximately 50 % of female deutonymphs and 40 % of male deutonymphs finally molted within a month. Survival analysis (Cox proportional hazards model) detected no significant difference in the molting rate between sexes (no. parameters = 1, d. f. = 1, likelihood ratio Chi-square = 0.8426, P = 0.3587).
Out of 18 heterosexual pairs of deutonymphs (Fig. 4b), three females molted within a day but died before male molting. Males of these pairs were excluded from the analysis, so that the male sample size decreased to 15. Females and males in almost all pairs molted to adult within a few days. The molting rate of females was slightly higher than that of males but survival analysis (Cox proportional hazards model) detected no significant difference between sexes (no. parameters = 1, d. f. = 1, likelihood ratio Chi-square = 0.3631, P = 0.5468).
When paired with an adult of the opposite sex (Fig. 4c), female deutonymphs immediately molted but male deutonymphs remained not molted. Survival analysis (Cox proportional hazards model) detected a highly-significant difference between sexes (no. parameters = 1, d. f. = 1, likelihood ratio Chi-square = 16.7439, P < 0.0001). The molting rate in these males was as low as that in the solitary condition (ca. 35%; Fig. 4d).
The solitary deutonymphs (control; Fig. 4d) survived for longer than a month without molting. The cumulative molting rate at the end was ca. 35% for both sexes. Survival analysis (Cox proportional hazards model) detected no significant difference between sexes (no. parameters = 1, d. f. = 1, likelihood ratio Chi-square = 0.1048, P = 0.7460).
In conditions where deutonymph was alone, males tended to molt earlier than females (protandry; Figs. 3, 4d), whereas in conditions where deutonymph was combined with other individuals, females tended to molt earlier than males (protogyny; Fig. 4a-c).
In summary, the pairwise comparison of the maximum cumulative molting rate in all 6 combinations among 4 treatments using Fisher’s exact probability test with Holm-Bonferroni sequential correction (Fig. 5) detects a sex difference in the response. All female deutonymphs molted at the combinations with males (irrespective of stages) but in the pair with another female deutonymph, they showed low molting rate that did not differ from solitary condition (Fig. 5a). On the other hand, the molting rate of male deutonymphs were still low at the pairing with female adults (Fig. 5b).