letters to nature 7. Herbers, J. M. On caste ratios in ant colonies: population responses to changing environments. Evolution 14, 575±585 (1980). 8. Hasegawa, E. The optimal caste ratio in polymorphic ants: estimation and empirical evidence. Am. Nat. 149, 706±711 (1997). 9. Passera, L., Roncin, E., Kaufmann, B. & Keller, L. Increased soldier production in ant colonies exposed to intraspeci®c competition. Nature 379, 630±631 (1996). 10. Johnston, A. B. & Wilson, E. O. Correlates of variation in the major/minor ratio of the ant, Pheidole dentata (Hymenoptera: Formicidae). Ann. Entomol. Soc. Am. 78, 8±11 (1985). 11. Hasegawa, E. Nest defense and early production of the major workers in the dimorphic ant Colobopsis nipponicus (Wheeler) (Hymenoptera: Formicidae). Behav. Ecol. Sociobiol. 33, 73±77 (1993). 12. Wilson, E. O. The relation between caste ratios and division of labor in the ant genus Pheidole (Hymenoptera: Formicidae). Behav. Ecol. Sociobiol. 16, 89±98 (1984). 13. Beshers, S. N & Traniello, J. F. The adaptiveness of worker demography in the attine ant Trachymyrmex septentrionalis. Ecology 75, 763±775 (1994). 14. Gordon, D. M. Group-level dynamics in harvester ants: young colonies and the role of patrolling. Anim. Behav. 35, 833±843 (1987). 15. Gordon, D. M. Dynamics of task switching in harvester ants. Anim. Behav. 38, 194±204 (1989). 16. Strand, M. R. & Grbic, M. The development and evolution of polyembryonic insects. Curr. Top. Dev. Biol. 35, 121±159 (1997). 17. Strand, M. R. Oviposition behavior and progeny allocation of the polyembryonic wasp Copidosoma ¯oridanum (Hymenoptera: Encyrtidae). J. Insect Behav. 2, 355±368 (1989). 18. Ode, P. J. & Strand, M. R. Progeny and sex allocation decisions of the polyembryonic wasp, Copidosoma ¯oridanum. J. Anim. Ecol. 64, 213±224 (1995). 19. Browning, H. W. & Oatman, E. R. Intra- and interspeci®c relationships among some parasites of Trichoplusia ni. Environ. Entomol. 13, 551±556 (1984). 20. Strand, M. R., Johnson, J. A. & Culin, J. D. Intrinsic, interspeci®c competition between the polyembryonic parasitoid, Copidosoma ¯oridanum and solitary endoparasitoid Microplitis demolitor in Pseudoplusia includens. Entomol. Exp. Appl. 55, 275±284 (1990). 21. Godfray, H. C. J. Parasitoids: Behavioral and Evolutionary Ecology (Princeton Univ. Press, Princeton, 1994). 22. Wheeler, D. E. The developmental basis of worker caste polymorphism in ants. Am. Nat. 138, 1218± 1238 (1991). 23. Grbic, M, Nagy, L. M. & Strand, M. R. Development of polyembryonic insects: a major departure from typical insect embryogenesis. Dev. Genes Evol. 208, 69±81 (1998). 24. Baehrecke, E. H., Aiken, J. M., Dover, B. A. & Strand, M. R. Ecdysteroid induction of embryonic morphogenesis in a parasitic wasp. Dev. Biol. 158, 275±287 (1993). 25. Grbic, M., Rivers, D. & Strand, M. R. Caste formation in the polyembryonic wasp Copidosoma ¯oridanum (Hymenoptera: Encyrtidae): in vivo and in vitro analysis. J. Insect Physiol. 43, 553±565 (1997). 26. Strand, M. R. & Pech, L. L. Immunological basis for compatibility in parasitoid-host relationships. Annu. Rev. Entomol. 40, 31±56 (1995). 27. Strand, M. R., Witherell, R. A. & Trudeau, D. Two Microplitis demolitor polyDNAvirus mRNAs expressed in hemocytes of Pseudoplusia includens contain a common cysteine-rich domain. J. Virol. 71, 2146±2156 (1997). 28. Webb, B. A. in The Insect Viruses (eds Miller, L. K. & Ball, A. L.) 105±139 (Plenum, New York, 1998). Acknowledgements We thank J. Johnson for assistance during the study, M. Grbic for discussions, and M. Visser, F. Wackers and W. van der Putten for comments on an early draft of the manuscript. This work was supported by the NSF. Correspondence and requests for materials should be addressed to M.R.S. (e-mail: [email protected]). ................................................................. stress6±9. Here we show that genetic variation underlies the response to environmental stress (variable food quality) of a sexual ornament (male eye span) in the stalk-eyed ¯y Cyrtodiopsis dalmanni. Some male genotypes develop large eye span under all conditions, whereas other genotypes progressively reduce eye span as conditions deteriorate. Several non-sexual traits (female eye span, male and female wing length) also show genetic variation in condition-dependent expression, but their genetic response is entirely explained by scaling with body size. In contrast, the male sexual ornament still reveals genetic variation in the response to environmental stress after accounting for differences in body size. These results strongly support the hypothesis that female mate choice yields genetic bene®ts for offspring. In the Malaysian stalk-eyed ¯y C. dalmanni, males have exaggerated eye span and females show strong mating preferences for males with greater eye span10,11. Here we investigated how genotype and environment (and their interaction) affected the development of sexual and non-sexual traits. Experimental males were mated to virgin females to generate full and half-sibling families (see Methods). Eggs and larvae from each family were cultured on corn, spinach or damp cotton wool, which represent food environments of decreasing nutritional value. Emerging ¯ies were sexed, and the male sexual trait (eye span), several comparable non-sexual traits (female eye span, male and female wing length), and body size (thorax length) were measured. Food quality, as expected, had a large effect on absolute trait sizes (Table 1). For all traits and both sexes, spinach-fed ¯ies were smaller than corn-fed ¯ies (P , 0.001). However, the main change occurred with the shift to the poorest environment, ¯ies that had fed on cotton wool being dramatically smaller than ¯ies that had fed on spinach (P , 0.001, Fig. 1). Despite this strong conditiondependent environmental effect, there was clear evidence for genetic variation in all traits, in both sexes (Table 1). This was still the case when each environment was analysed separately (all P , 0.05). Of greater interest were the interactions between effects due to food quality and effects due to genotypeÐthat is, food quality by genotype interactions as these test whether there is a genetic basis for environmental condition dependence. For absolute male eye span, the interaction was signi®cant (Table 1). Comparisons of the genetic variance in each environment showed that differences between genotypes increased under food stress, especially in the cotton-wool environment (Fig. 1; corn±wool F29,125 = 1.937, P = 0.007; spinach±wool F31,113 = 1.664, P = 0.028; corn±spinach F31,67 = 1.462, P = 0.099; tested using the Satterthwaite method, see Methods). Nonetheless genotype ranks were maintained across Condition-dependent signalling of genetic variation in stalk-eyed ¯ies Patrice David*², Tracey Bjorksten*³, Kevin Fowler* & Andrew Pomiankowski* * The Galton Laboratory, Department of Biology, University College London, 4 Stephenson Way, London NW1 2HE, UK ² CEFE-CNRS, 1919 route de Mende, 34293 Montpellier Cedex 05, France ³ Department of Biology, Colorado State University, Fort Collins, Colorado 80523, USA .............................................................................................................................................. Handicap models of sexual selection predict that male sexual ornaments have strong condition-dependent expression and this allows females to evaluate male genetic quality1±5. A number of previous experiments have demonstrated heightened conditiondependence of sexual ornaments in response to environmental 186 Figure 1 Genotypic responses for absolute male and female eye span in corn, spinach and cotton-wool environments. Each line represents the mean eye span of a group of full-siblings. © 2000 Macmillan Magazines Ltd NATURE | VOL 406 | 13 JULY 2000 | www.nature.com letters to nature Table 1 Absolute trait value ANOVA Males² Females Eye span Wing length Thorax length Eye span Wing length Thorax length 85.91*** 3.62*** 2.05*** 251 83.20*** 3.41*** 2.20*** 241 97.73*** 2.87*** 1.59** 254 68.41*** 2.39*** 1.43* 279 76.24*** 3.09*** 1.82** 286 72.78*** 2.19** 1.91*** 286 ................................................................................................................................................................................................................................................................................................................................................................... Food quality Genotype Food quality ´ genotype N ................................................................................................................................................................................................................................................................................................................................................................... Shown are the environmental effects due to variation in food quality, the genetic effects due to variation amongst full-sibling families, and interactions. ² F values are given for each effect; ***P , 0.001, **P , 0.01, *P , 0.05; the degrees of freedom were d.f. = 2 (food quality), d.f. = 24±27 (genotypes) and d.f. = 48±54 (interaction). environments (genetic correlation coef®cients 6 s.e.: corn±spinach ra = 0.660 6 0.106, P , 0.01; corn±wool ra = 0.576 6 0.148, P , 0.001; spinach±wool ra = 0.407 6 0.207, P , 0.001), so a genotype which performed well in one environment tended to do well in all environments (Fig. 1). However, similar food quality by genotype interactions were present for the non-sexual traits (Table 1). Most of these (thorax and wing length in both sexes, but not female eye span) also showed increased variance in stressful environments and ranks maintained across environments (data not shown). So absolute measures of both sexual and non-sexual traits showed similar genetic components to their environmental condition-dependence. These patterns may simply re¯ect scaling with body size. To discount this, we calculated relative trait values, dividing eye span and wing length by thorax length (see Methods). Relative male eye span showed the same strong environmental condition-dependence as absolute male eye span (Tables 1 and 2, similar F values). However, removing the effect of body size from the non-sexual characters reduced environmental condition-dependence of male and female wing length and female eye span (Tables 1 and 2, lower F values). These results are consistent with previous work in stalkeyed ¯ies demonstrating that sexual ornaments are more sensitive to environmental conditions than non-sexual traits9. Genetic variation Figure 2 Genotypic responses for relative male and female eye span across the three environments. Relative values are eye span divided by thorax length for each sex. Each line represents the mean eye span of a group of full-siblings. remained strong for relative trait values of both sexes, indicating that traits have genetic variation independent from body size (Table 2). Food quality by genotype interactions showed similar changes. The strength of the food quality by genotype interaction remained unchanged for relative male eye span (Table 2). Once again genetic variance increased under food stress (Fig. 2, corn±wool F32,117 = 1.981, P = 0.004; spinach±wool F34,99 = 1.802, P = 0.013; corn±spinach F41,65 = 1.140, P = 0.315), and genotype ranks were maintained across environments (corn±spinach ra = 0.624 6 0.177, P , 0.001; corn±wool ra = 0.877 6 0.060, P , 0.001; spinach±wool ra = 0.206 6 0.262, P , 0.001). In contrast, removing body size scaling from the non-sexual traits eliminated or greatly reduced any food quality by genotype interaction (Table 2). In addition, despite genetic variation being present in relative trait values of the nonsexual traits (Table 2), there was no increase in genetic variation in more stressful environments (Fig. 2, all P . 0.05). So for relative trait values, only male eye span showed a genetic basis to environmental condition-dependence. Evidence that sexual ornaments have condition-dependent expression comes largely from studies using experimental manipulations of environmental stress6±9. If females use sexual traits to evaluate male genetic quality these ®ndings are paradoxical, as sensitivity to environmental variation can potentially mask genetic effects. Reduced or low heritability of sexual traits in the face of high environmental variation has been reported in several semi-natural studies of bird species12,13. However, in our experiment, variation between environments, in terms of changes in food quality, magni®ed the differences between male genotypes (especially in the most stressful environment). In addition, our experiment revealed the unique nature of the sexual trait, male eye span. We compared sexual and non-sexual traits, whilst controlling for general body size effects. Male eye span alone showed a genetic basis to environmental condition-dependence that was independent of body size scaling, and increased genetic variance in stressful environments. This echoes previous ®ndings that the expression of male eye span in stalk-eyed ¯ies is strongly informative about condition9,14. Taken overall, the evidence points to a `good genes' interpretation of male sexual signalling in stalk-eyed ¯ies, as condition-dependence is predicted by handicap models of sexual selection1±5. In the future, it will be important to establish whether there are similar genetic responses to environmental condition-dependence in the exaggerated sexual traits of other species. M Table 2 Relative trait value ANOVA Methods 1.2 males females Relative eye span 1.1 1 0.9 0.8 0.7 0.6 Corn Spinach Cotton wool Food Males² Females Relative eye span Relative wing length Relative eye span Relative wing length 88.85*** 3.82*** 2.06*** 243 10.55*** 4.38*** 0.73 NS 232 1.66 NS 2.57*** 1.07 NS 266 29.05*** 3.41*** 1.454* 272 ............................................................................................................................................................................. Food quality Genotype Food quality ´ genotype N ............................................................................................................................................................................. Shown are the environmental, genetic and interaction effects. ² F values are given for each effect; ***P , 0.001, **P , 0.01, *P , 0.05, NS P . 0.05; the degrees of freedom were d.f. = 2 (food quality), d.f. = 24±26 (genotypes) and d.f. = 48±52 (interaction). NATURE | VOL 406 | 13 JULY 2000 | www.nature.com Fly collection Flies used in the experiment were taken from stock populations established in 1993 from ®eld collections near the Gombak river in Malaysia, and maintained in population cages of at least 200 individuals at 25 8C, 12 h:12 h light:dark cycle, on ground-corn medium. Virgin males (N = 18) were collected and mated sequentially to ®ve virgin females, for two days each, to generate full-sibling and half-sibling families. Mated females were kept separately in large cages (20 ´ 20 ´ 40 cm) and were alternately presented with small weigh boats containing corn or spinach as a food source and egg lay medium. Weigh boats were replaced every two days and kept in individual pots to allow larval growth. Excess food (30 g per boat) was given to minimize larval competition. Females also laid eggs on the damp, cotton-wool / ®lter-paper cage lining. All emerging ¯ies from these three sources were collected and frozen. © 2000 Macmillan Magazines Ltd 187 letters to nature ................................................................. Measurements The number of progeny was highly variable between families and environments. Twentynine families consisting of 12 sires mated to 2 or 3 dams provided suf®cient progeny (®ve male and ®ve female) from all food treatments. Stored ¯ies were sexed before measurement of eye-stalk length (median eye-stalk bristle to the centre of the head)9 and wing length using a video camera mounted on a monocular microscope and the image analysis program NIH Image (Version 1.55). In addition thorax length was measured from the centre of the head to the lower edge of the thorax. All measurements were made `blind' by a single person (T.B.). Two replicates of each measurement were taken on different days. Values were averaged over the left and right sides and the two replicates. Statistical analysis For each sex and each trait separately, a mixed-model ANOVA was evaluated with factors food quality (®xed), genotype (random; a genotype was de®ned as a full-sibling family) and the interaction15. As some families shared the same father, the analysis was repeated using hierarchical ANOVA with effects sire and dam-within-sire. Qualitatively similar relationships were found. The analysis was also carried out with pairs of environments to compute differences between environments, genetic correlation coef®cients15,16 and their standard errors17. Genetic correlation coef®cients between environments are de®ned as the correlation between breeding values of the same genotype in two environments16. The equality of genetic variances between two environments was tested using Satterthwaite's k MS k MS method15 based on the ratio F k21 MSff ;1;2 k12 MSe:2 , where subscripts f and e refer to family and e;1 error mean squares, 1 and 2 to two environments, ki to the number of replicates per family in environment i and MS to the mean squares. The approximate degrees of freedom for this F test are given in ref. 15. This ratio is constructed so that the denominator and the numerator have equal expectations when genetic variances are equal in both environments, even if error variance and sample sizes differ. For all traits and all environments, hierarchical ANOVAs with effects sire and dam-within-sire revealed no evidence of dominance or common environments as the dam component of variance was not signi®cantly larger than the sire component15,16. So our estimates of ra are not in¯ated by dominance or effects due to common environments. The analysis was repeated using relative trait values, with thorax length used as a general measure of body size. We used relative values rather than residuals. Analysis of residuals was more complex, as traits displayed changes in their allometric slopes and intercepts across environments. A full analysis using residuals reached the same conclusions (K.F. et al., manuscript in preparation). Sample sizes were not the same for different traits because occasionally specimens exhibited damage to heads or wings. Given the number of tests performed, results with borderline signi®cance (0.01 , P , 0.05) are treated with caution in our discussion. Received 8 March; accepted 18 May 2000. 1. Andersson, M. Evolution of condition-dependent sex ornaments and mating preferences: sexual selection based on viability differences. Evolution 40, 804±816 (1986). 2. Pomiankowski, A. Sexual selection: the handicap principle does workÐsometimes. Proc. R. Soc. Lond. B 231, 123±145 (1987). 3. Grafen, A. Biological signals as handicaps. J. Theor. Biol. 144, 517±546 (1990). 4. Iwasa, Y. & Pomiankowski, A. The evolution of mate preferences for multiple handicaps. Evolution 48, 853±867 (1994). 5. Rowe, L. & Houle, D. The lek paradox and the capture of genetic variance by condition dependent traits. Proc. R. Soc. Lond. B 263, 1415±1421 (1996). 6. Hill, G. E. Proximate basis of variation in carotenoid pigmentation in male house ®nches. Auk 109, 1± 12 (1992). 7. Gustaffson, L., QvarnstroÈm, A. & Sheldon, B. C. Trade-offs between life-history traits and a secondary sexual character in male collared ¯ycatchers. Nature 375, 311±313 (1995). 8. Hunt, J. & Simmons, L. W. Patterns of ¯uctuating asymmetry in beetles' horns: an experimental examination of the honest signalling hypothesis. Behav. Ecol. Sociobiol. 41, 109±114 (1997). 9. David, P. et al. Male sexual ornament size but not asymmetry re¯ects condition in stalk-eyed ¯ies. Proc. R. Soc. Lond. B 265, 1±6 (1998). 10. Burkhardt, D. & de la Motte, I. Big `antlers' are favoured: female choice in stalk-eyed ¯ies (Diptera, Insecta), ®eld collected harems and laboratory experiments. J. Comp. Physiol. A 162, 649±652 (1988). 11. Wilkinson, G. S. & Reillo, P. R. Female choice response to arti®cial selection on an exaggerated male trait in a stalk-eyed ¯y. Proc. R. Soc. Lond. B 255, 1±6 (1994). 12. Grif®ths, S. C., Owens, I. P. F. & Burke, T. Environmental determination of a sexually selected trait. Nature 400, 358±360 (1999). 13. Qvarnstrom, A. Genotype-by-environment interactions in the determination of the size of a secondary sexual character in the collared ¯ycatcher (Ficedula albicollis). Evolution 53, 1564±1572 (1999). 14. Wilkinson, G. S. & Taper, M. Evolution of genetic variation for condition-dependent traits in stalkeyed ¯ies. Proc. R. Soc. Lond. B 266, 1685±1690 (1999). 15. Lynch, M. & Walsh, B. Genetics and Analysis of Quantitative Traits (Sinauer Associates, Sunderland, Massachussetts, 1998). 16. Roff, D. A. Evolutionary Quantitative Genetics (Chapman & Hall, London, 1997). 17. Falconer, D. S. & Mackay, T. F. C. Introduction to Quantitative Genetics 4th edn (Longman, Harlow, 1996). Acknowledgements We thank T. Chapman and G. Hurst for comments, and A. Hingle for help in rearing ¯y stocks. This work was supported by Royal Society university research fellowships (K.F. and A.P.) and the NERC. Correspondence and requests for materials should be addressed to A.P. (e-mail: [email protected]). 188 The segment polarity network is a robust developmental module George von Dassow, Eli Meir, Edwin M. Munro & Garrett M. Odell University of Washington, Department of Zoology, Box 351800, Seattle, Washington 98195-1800, USA .............................................................................................................................................. All insects possess homologous segments, but segment speci®cation differs radically among insect orders. In Drosophila, maternal morphogens control the patterned activation of gap genes, which encode transcriptional regulators that shape the patterned expression of pair-rule genes. This patterning cascade takes place before cellularization. Pair-rule gene products subsequently `imprint' segment polarity genes with reiterated patterns, thus de®ning the primordial segments. This mechanism must be greatly modi®ed in insect groups in which many segments emerge only after cellularization1. In beetles and parasitic wasps, for instance, pair-rule homologues are expressed in patterns consistent with roles during segmentation, but these patterns emerge within cellular ®elds2±4. In contrast, although in locusts pair-rule homologues may not control segmentation5,6, some segment polarity genes and their interactions are conserved3,7±10. Perhaps segmentation is modular, with each module autonomously expressing a characteristic intrinsic behaviour in response to transient stimuli. If so, evolution could rearrange inputs to modules without changing their intrinsic behaviours. Here we suggest, using computer simulations, that the Drosophila segment polarity genes constitute such a module, and that this module is resistant to variations in the kinetic constants that govern its behaviour. Gap and pair-rule gene products are nuclear proteins that form short-range gradients in the Drosophila syncytial blastoderm, locally modulating each other's expression through direct transcriptional control. In contrast, segment polarity genes re®ne and maintain their expression state through a network of cross-regulatory interactions that require cell±cell communication1±15. Many segment polarity genes, unlike gap and pair-rule genes, remain active throughout development; the segment polarity network remembers the pattern imprinted upon it, then provides positional read-outs for subsequent developmental processes, including speci®cation of neuroblasts, denticle patterns and appendage primordia. Thus, the intrinsic behaviour of the putative segment polarity module consists of stable, reiterated, asymmetric expression of its constituent genes, especially of the principal outputs wingless (wg), hedgehog (hh) and engrailed (en)15; in Drosophila the transient stimuli are pair-rule genes. We used computer simulations to investigate whether the known interactions among segment polarity genes suf®ce to confer the properties expected of a developmental module. Given its probable conservation among diverse insects and perhaps beyond, we expected such a module to exhibit buffering against quantitative changes in gene function, and to be insensitive to the exact nature of input stimuli. We summarized (Box 1) the interactions among those segment polarity gene products that we reasoned might suf®ce to mimic the wild-type expression patterns of segment polarity genes (Fig. 1a). We abbreviated intermediate pathways and did not explicitly represent `generic' components such as the transcriptional machinery. To formulate a dynamical model based on Box 1a required nearly 50 free parameters, including half-lives of messenger RNAs and proteins, binding rates, and cooperativity coef®cients. The real values of these are unknown and the biologically realistic range for most parameters spans several orders of magnitude. Therefore we asked: is there any set of parameter values for © 2000 Macmillan Magazines Ltd NATURE | VOL 406 | 13 JULY 2000 | www.nature.com
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