Results
Diel and circadian eclosion rhythms of S. frugiperda entrained to summer-like photoperiod
The average eclosion peak under LD conditions (pooled data) occurred at the 1st hour after lights-off (ZT14-
ZT15), with 58% of females and 40% of males emerging over 24 hours (Fig. 2A). The average eclosion peak
under DD conditions (pooled data) occurred at the 2nd hour after the onset of subjective dark (CT15 -CT16),
with 27% of fema les and 19% of males emerging over 24 hours. Another average eclosion peak under DD
conditions was also observed between CT17-CT18 in male adults (Fig. 2B). Under DD conditions, the average
eclosion peak of S. frugiperda exhibited a phase delay of approximately one hour compared to those observed
under LD conditions. The eclosion peak is sharper and more pronounced under LD conditions, whereas in DD,
it is more gradual and phase-delayed (Fig. 2A, B). Moreover, across successive DD cycles (DD1 to DD3), the
eclosion peak progressively shifts later each day (Fig. 2C). Females took fewer circadian cycles to complete
eclosion, with only one sample emerging in DD3 for the same generation compared to males. Therefore, we
excluded the eclosion data for females in DD3 from the subsequent statistical comparison between groups.
Fig.2. Diel and circadian eclosion rhythms of S. frugiperda entrained to summer-like photoperiod. (A) Pooled
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diel eclosion rhythm over consecutive five days of recording under 14-hour light: 10-hour dark (LD) conditions.
(B) Pooled circadian eclosion rhythm of females and males over consecutive three days of recording under
constant darkness (DD) after entrainment to LD. (C) Profiles of female and male adult e closion across the 1st,
2nd, and 3rd days of constant darkness (DD1, DD2, and DD3, respectively) after entrainment to LD. Data are
binned in 1-h intervals. Horizontal bars show objective day (white) and night (black) in panel (A) and subjective
day (gray) and night (black) in Panel (B) and (C). F, Female; M, Male. The overall distribution of eclosion times
for males and females was compared using the e xact Kolmogorov-Smirnov test maximum difference: Pooled
LD-F versus Pooled LD-M, P = 0.059; Pooled DD -F versus Pooled DD -M, P = 0.019; Pooled LD-F versus
Pooled DD-F, P < 0.001; Pooled LD-M versus Pooled DD -M, P < 0.001; DD1-F versus DD1-M, P = 0.362;
DD2-F versus DD2-M, P = 0.017; DD1-F versus DD2-F, P = 0.010; DD1-M versus DD2-M, P = 0.085; DD1-
M versus DD3-M, P = 0.058; DD2-M versus DD3-M, P = 0.334. P < 0.05 suggests significant effects on the
overall distribution pattern of eclosion times, including characteristics such as variability and distribution shape,
beyond just the median.
Distribution of adult eclosion between sexes and photoperiod conditions
To gain a more detailed understanding of the overall distributions of adult eclosion in S. frugiperda, the exact
Kolmogorov-Smirnov (KS) test was applied to examine differences in eclosion distributions between
photoperiod conditions and sexes. A highly significant difference was found when comparing eclosion
distributions between pooled LD and DD conditions for both females ( P < 0.001) and males ( P < 0.001),
indicating a marked shift in timing and pattern under constant darkness, consistent with a circadian-driven free-
running period. A dditionally, marginal and significant differences were detected between female and male
eclosion rhythms under pooled LD (P = 0.059) and DD conditions (P = 0.019), respectively, suggesting sexually
dimorphic circadian regulation of eclosion timing (Fig. 2A, B ). Due to the limited sample size of females on
DD3, statistical comparisons for this group were not performed. Further analysis of consecutive D1 -D2 for
females and D1-D3 for males revealed significant sex-dimorphic differences in eclosion distribution on DD2 (P
= 0.017), consistent with the pooled DD condition results. In contrast, no significant difference was observed for
DD1 (P = 0.362), likely due to a small sample size. Within-sex comparisons across different DD days revealed
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marginal to significant effects, with males showing marginal differences between DD1 and DD2 (P = 0.085) and
DD1 and DD3 (P = 0.058), while females exhibited a significant effect between DD1 and DD2 (P = 0.010). No
significant difference was found for males between DD2 and DD3 (P = 0.334).
Given that the Mann-Whitney (MW) test is sensitive to differences in central tendency (median), while the KS
test captures overall distributional differences more effectively, the MW test was further employed to specifically
assess differences in the central tendency of adult S. frugiperda eclosion per hour relative to ZT0/CT0 between
sexes and photoperiod conditions. A marginal difference was observed between sexes under LD conditions (P =
0.095), whereas significant differen ces were detected between sexes under DD conditions ( P = 0.032).
Additionally, highly significant differences were observed when comparing eclosion distributions between
pooled LD and pooled DD conditions for both females and males (P < 0.001; Fig. 3). The results of the MW test
were largely consistent with those of the KS test, suggesting that shifts in central tendency contribute to the
overall distribution differences. The marginal difference detected by the MW as well as KS test under LD
conditions may reflect a slight trend in median eclosion times, likely influenced by the higher frequency of male
eclosion during the daytime (Fig. 2A; Fig. 3). We further examined circadian eclosion dynamics over three
consecutive DD days. Consistent with the KS test, the MW test revealed no significant differences between sexes
for DD1 (P = 0.744) but a marginal difference for DD2 ( P = 0.087). For males, no sign ificant difference was
found between DD2 and DD3 (P = 0.943), while marginal differences were observed between DD1 and DD2 (P
= 0.061) and between DD1 and DD3 (P = 0.058). However, in contrast to the KS test, the MW test detected no
significant differences between DD1 and DD2 for females (P = 0.216), suggesting that the significant difference
observed in the KS test was primarily due to differences in the distribution shape and spread, rather than in
location (Fig. 3).
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Fig.3. Central tendency comparison for sex differences in eclosion rhythm of S. frugiperda under 14-hours light:
10-hours dark (LD) and constant darkness (DD) conditions. Red, blue, purple, orange, and green dots represent
data from five consecutive days under 14 -hour light: 10-hour dark (Pooled LD), three consecutive days under
constant darkness (Pooled DD), the 1st (DD1), 2nd (DD2) and 3rd (DD3) day of constant darkness, respectively.
F, Female; M, Male. Mann-Whitney test: Pooled LD-F versus Pooled LD-M, P = 0.095; Pooled DD-F versus
Pooled DD-M, P = 0.032; Pooled LD-F versus Pooled DD-F, P < 0.001; Pooled LD-M versus Pooled DD-M, P
< 0.001; DD1-F versus DD1-M, P = 0.744; DD2-F versus DD2-M, P = 0.087; DD1-F versus DD2-F, P = 0.216;
DD1-M versus DD2 -M, P = 0.061; DD1-M versus DD3 -M, P = 0.058; DD2-M versus DD3 -M, P = 0.943.
Uppercase and lowercase letters indicated significant differences between sexes for the same photoperiod
condition (LD or DD), and between the photoperiod conditions for females or males by Mann-Whitney test at P
< 0.05, respectively. Solid lines represent the median value, and error bars represent the interquartile range. P <
0.05 indicates a significant difference in the central tendency (median) of eclosion times between treatments.
Transcript expression of circadian genes in the heads of S. frugiperda under LD and DD conditions
To investigate the expression of core circadian genes between sexes and photoperiod conditions, we conducted
qRT-PCR to examine the levels of cyc, clk, tim, per, and cry2 in the heads of S. frugiperda collected at 3- or 4-
hour intervals. After 7 days of en trainment to an LD cycle, 10-day-old adults were sampled on the 3rd day of
DD to ensure a clearer observation of the free-running rhythm of the molecular circadian clock.
Under the LD condition, significant interactions between sex and time were observed for cyc (P = 0.013; Fig.4A)
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and marginal difference for clk (P = 0.079; Fig.4B) by two-way ANOV A. One-way ANOV A between sexes for
the same time point revealed significant sex differences in gene expression levels at: ZT5 (P = 0.002), ZT9 (P =
0.008), and ZT17 (P = 0.007) for cyc (Fig.4A); ZT5 (P = 0.034), ZT9 (P = 0.012), and ZT17 (P < 0.001) for clk
(Fig.4B); ZT1 (P = 0.025) and ZT5 (P = 0.021) for tim (Fig.4C); ZT5 (P = 0.042) and ZT17 (P = 0.048) for per
(Fig.4D); and ZT9 (P = 0.029) and ZT17 (P = 0.001) for cry2 (Fig.4E).
Under the DD condition, no significant interactions between sex and time were found for all tested circadian
genes (Fig.4). Significant sex differences in gene expression levels were observed at CT19 (P = 0.045) for clk
(Fig.4B); CT22 (P = 0.019) for tim (Fig.4C).
The presence of rhythmicity was found to be significant for most selected core circadian genes in both female
and male adults under different photoperiod conditions, except female cyc and cry2 under DD condition as
determined by CircaCompare and confirmed by post hoc Tukey HSD test at 𝑃 < 0.05 (Fig.4; Table 2). Because
CircaCompare requires rhythmicity in both groups for valid comparison, parameter estimation was not possible
when one sex lacked oscillation. This accounts for the omission of rhythm-related indices for cyc and cry2 under
DD conditions in the sex-based comparisons in Table 3.
Table 2. Presence of rhythmicity ( p-value) of five circadian genes for different genders and light conditions
using the CircaCompare method.
cyc clk tim per cry2
Female LD 0.0071** <0.001*** <0.001*** <0.001*** <0.001***
DD na 0.044* 0.0058** 0.010* na
Male LD <0.001*** <0.001*** <0.001*** <0.001*** <0.001***
DD <0.001*** 0.0010** 0.0059** 0.0021** <0.001***
Note: LD, 14-hours light: 10-hours dark; DD: constant darkness (DD) after 7 days of adult entrainment to LD.
We further analyzed the mesor (midline -estimating statistic of rhythm), amplitude, and phase differences of
selected core circadian genes between sexes under LD and DD conditions using CircaCompare. Significant and
marginal differences in mesor were observed between females and males for cyc (-0.38, P < 0.001), clk (-0.32,
P < 0.001), tim (-0.40, P = 0.014), per (-0.20, P < 0.001) and cry2 (-0.14, P = 0.048) under LD conditions. Under
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DD conditions, significant mesor differences were found for clk (-0.17, P = 0.012) and per (-0.22, P = 0.024).
Moreover, significant differences in amplitude were observed between females and males for clk (-0.29, P =
0.0038) under LD conditions. Notably, for phase differences between females (estimated peak at ZT2. 96) and
males (estimated peak at ZT6.33; Table 3), we found significant differences for cyc (-3.37, P = 0.044; Table 3)
under LD conditions.
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Fig.4. The expression of circadian genes of cyc (A), clk (B), tim (C), per (D), and cry2 (E) in the heads of adults
under 14 hours light: 10 hours dark (LD) and the 3rd day of constant darkness (DD) after 7 days of adult
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entrainment to LD. Horizontal bars show objective day (white) and night (black) in the left panels and subjective
day (gray) and night (black) in the right panels. Pink and blue lines indicate females (LD-F) and males (LD-M)
sampled under LD conditions, and red and black lines indicate females (DD -F) and males (DD -M) sampled
under the 3rd day of DD after 7 days of adult entrainment to LD. Two-way ANOV A, interaction sex × time: (A)
cyc: LD, P = 0.013; DD, P = 0.819. (B) clk: LD, P = 0.079; DD, P = 0.783. (C) tim: LD, P = 0.45; DD, P =
0.928. (D) per: LD, P = 0.51; DD, P = 0.83. (E) cry2: LD, P = 0.818; DD, P = 0.503. One-way ANOV A between
sexes for the same time point (only significant differences were reported): (A) cyc: ZT5, P = 0.002; ZT9, P =
0.008; ZT17, P = 0.007. (B) clk: ZT5, P = 0.034; ZT9, P = 0.012; ZT17, P < 0.001; CT19, P = 0.045. (C) tim:
ZT1, P=0.025; ZT5, P = 0.021; CT22, P = 0.019. (D) per: ZT5, P = 0.042; ZT17, P = 0.048. (E) cry2: ZT9, P =
0.029; ZT17, P = 0.001 . The interactions between sex and time for each photoperiod condition were tested by
two-way ANOV A at P < 0.05. The differences between sexes for the same time point were tested by one -way
ANOV A at P < 0.05. Different lowercase letters indicated significant differences among different time points for
the same sex under the same photoperiod condition by post hoc Tukey HSD test at P < 0.05. * P < 0.05. Solid
lines represent the mean value, and error bars represent the standard error of the mean (SEM).
Table 3. Differences in rhythmic parameters across groups using the CircaCompare method.
Gene Comparison
Groups
Mesor difference
(P value)
Amplitude difference
(P value)
Phase difference
(P value)
cyc LD-F vs. LD-M -0.38 (<0.001***) -0.24 (0.057) -3.37 (0.044*)
LD-F vs. DD-F na na na
DD-F vs. DD-M na na na
LD-M vs. DD-M na na -0.16 (0.90)
clk LD-F vs. LD-M -0.32 (<0.001***) -0.29 (0.0038**) -0.64 (0.60)
LD-F vs. DD-F na na 5.59 (0.0069**)
DD-F vs. DD-M -0.17 (0.012*) -0.10 (0.27) -1.12 (0.58)
LD-M vs. DD-M na na 5.11 (<0.001***)
tim LD-F vs. LD-M -0.40 (0.014*) -0.27 (0.22) 0.42 (0.68)
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LD-F vs. DD-F na na -3.86 (0.015*)
DD-F vs. DD-M -0.13 (0.24) -0.094 (0.55) -0.65 (0.72)
LD-M vs. DD-M na na -4.93 (0.0021**)
per LD-F vs. LD-M -0.20 (<0.001***) 0.055 (0.42) 0.45 (0.46)
LD-F vs. DD-F na na -3.21 (0.017*)
DD-F vs. DD-M -0.22 (0.024*) -0.17 (0.22) -0.41 (0.83)
LD-M vs. DD-M na na -4.07 (0.0038**)
cry2 LD-F vs. LD-M -0.14 (0.048*) 0.037 (0.70) -0.050 (0.95)
LD-F vs. DD-F na na na
DD-F vs. DD-M na na na
LD-M vs. DD-M na na -2.42 (0.021*)
Note: Rhythmicity was found to be significant for all genes in both female and male adults under different photoperiod conditions
by CircaCompare at P < 0.05 except female cyc and cry2 under constant darkness (DD) condition. A negative sign indicates that
the latter condition is reduced or delayed compared to the former. Data are presented with two significant digits after the decimal
point. LD-F or LD-M, heads sampled from female or male adults under 14 hours light: 10 hours dark (LD); DD-F or DD-M: heads
sampled from female or male adults under the 3rd day of DD after 7 days of adult entrainment to LD. * P < 0.05, ** P < 0.01, *** P
< 0.001. For the comparison of group A vs. group B, group B is used as the reference group. Thus, the difference is calculated as A
- B (e.g., Phase difference = φA − φB).
We also compared phase differences between LD and DD conditions and found significant differe nces in both
females and males for clk (females: 5.59, P = 0.0069; males: 5.11, P < 0.001), tim (females: -3.86, P = 0.015;
males: -4.93, P = 0.0021), per (females: -3.21, P = 0.017; males: -4.07, P = 0.0038), and cry2 (males: -2.42, P
= 0.021) (Table3; see Table 4 for peak time hours).
Table 4. Estimated peak time hours of five circadian genes for different genders and light conditions using the
CircaCompare method.
LD-F (hours) LD-M (hours) DD-F (hours) DD-M (hours)
cyc 2.96 6.33 na 6.49
clk 9.87 10.52 4.29 5.40
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tim 15.42 15.00 19.28 19.93
per 20.19 19.74 23.40 23.81
cry2 21.98 22.03 na 0.45
Note: LD-F or LD-M, heads sampled from female or male adults under 14 hours light: 10 hours dark (LD); DD-F or DD-M: heads
sampled from female or male adults under the 3rd day of constant darkness (DD) after 7 days of adult entrainment to LD.
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