A photo of a hatchling Protoceratops andrewsi fossil from the Gobi Desert Ukhaa Tolgod, Mongolia. Credit: © AMNH/M. Ellison A human typically gives birth after nine months. An ostrich hatchling emerges from its egg after 42 days. But how long did it take for a baby dinosaur to incubate? 
 
 Groundbreaking research led by a Florida State University professor establishes a timeline of anywhere from three to six months depending on the dinosaur. 
 
 In an article in the Proceedings of the National Academy of Sciences, FSU Professor of Biological Science Gregory Erickson and a team of researchers break down the complicated biology of these prehistoric creatures and explain how embryonic dental records solved the mystery of how long dinosaurs incubated their eggs. 
 
 "Some of the greatest riddles about dinosaurs pertain to their embryology—virtually nothing is known," Erickson said. "Did their eggs incubate slowly like their reptilian cousins—crocodilians and lizards? Or rapidly like living dinosaurs—the birds?" 
 
 Scientists had long theorized that dinosaur incubation duration was similar to birds, whose eggs hatch in periods ranging from 11-85 days. Comparable-sized reptilian eggs typically take twice as long—weeks to many months. 
 
 Because the eggs of dinosaurs were so large—some were about 4 kilograms or the size of a volleyball—scientists believed they must have experienced rapid incubation with birds inheriting that characteristic from their dinosaur ancestors. 
 
 Erickson, FSU graduate student David Kay and colleagues from University of Calgary and the American Museum of Natural History decided to put these theories to the test. 
 
 To do that, they accessed some rare fossils—those of dinosaur embryos. 
 
 Researchers examined a fossilized embryo of the dinosaur Hypacrosaurus. Credit: Darla Zelinitsky 
 
 "Time within the egg is a crucial part of development, but this earliest growth stage is poorly known because dinosaur embryos are rare," said co-author Darla Zelenitsky, assistant professor of geoscience at University of Calgary. "Embryos can potentially tell us how dinosaurs developed and grew very early on in life and if they are more similar to birds or reptiles in these respects." 
 
 The two types of dinosaur embryos researchers examined were those from Protoceratops — a sheep-sized dinosaur found in the Mongolian Gobi Desert whose eggs were quite small (194 grams)—and Hypacrosaurus, an enormous duck-billed dinosaur found in Alberta, Canada with eggs weighing more than 4 kilograms. 
 
 Gregory Erickson is a professor of biological science at Florida State University. Credit: FSU 
 
 Erickson and his team ran the embryonic jaws through a CT scanner to visualize the forming dentition. Then, they extracted several of the teeth to further examine them under sophisticated microscopes. 
 
 Researchers found what they were looking for on those microscope slides. Growth lines on the teeth showed researchers precisely how long the dinosaurs had been growing in the eggs. 
 
 "These are the lines that are laid down when any animal's teeth develops," Erickson said. "They're kind of like tree rings, but they're put down daily. We could literally count them to see how long each dinosaur had been developing." 
 
 Their results showed nearly three months for the tiny Protoceratops embryos and six months for those from the giant Hypacrosaurus. 
 
 "Dinosaur embryos are some of the best fossils in the world," said Mark Norell, Macaulay Curator for the American Museum of Natural History and a co-author on the study. "Here, we used spectacular fossils specimens collected by American Museum expeditions to the Gobi Desert, coupled them with new technology and new ideas, leading us to discover something truly novel about dinosaurs." 
 
 Daily growth lines in the dentine of an embryonic tooth of Hypacrosaurus. Credit: © G.M. Erickson 
 
 The implications of long dinosaur incubation are considerable. 
 
 In addition to finding that dinosaur incubation was similar to primitive reptiles, the researchers could infer many aspects of dinosaurian biology from the results. 
 
 Prolonged incubation put eggs and their parents at risk from predators, starvation and other environmental risk factors. And theories that some dinosaurs nested in the more temperate lower latitude of Canada and then traveled to the Arctic during the summer now seem unlikely given the time frame for hatching and migration. 
 
 The biggest ramification from the study, however, relates to the extinction of dinosaurs. Given that these warm-blooded creatures required considerable resources to reach adult size, took more than a year to mature and had slow incubation times, they would have been at a distinct disadvantage compared to other animals that survived the extinction event. 
 
 "We suspect our findings have implications for understanding why dinosaurs went extinct at the end of the Cretaceous period, whereas amphibians, birds, mammals and other reptiles made it through and prospered," Erickson said. 
 
 Explore further: Biggest map of dinosaur tree yet suggests they emerged 20 million years earlier than thought 
 
 More information: Dinosaur incubation periods directly determined from growth-line counts in embryonic teeth show reptilian-grade development, PNAS, www.pnas.org/cgi/doi/10.1073/pnas.1613716114 
 
 

 Significance Little is known regarding nonavian dinosaur embryology. Embryological period relates to myriad aspects of development, life history, and evolution. In reptiles incubation is slow, whereas in birds it is remarkably rapid. Because birds are living dinosaurs, rapid incubation has been assumed for all dinosaurs. We discovered daily forming growth lines in teeth of embryonic nonavian dinosaurs revealing incubation times. These lines show slow reptilian-grade development spanning months. The rapid avian condition likely evolved within birds prior to the Cretaceous–Paleogene (K–Pg) mass extinction event. Prolonged incubation exposed nonavian dinosaur eggs and attending parents to destructive influences for long periods. Slow development may have affected their ability to compete with more rapidly generating populations of birds, reptiles, and mammals following the K–Pg cataclysm. 
 
 Abstract Birds stand out from other egg-laying amniotes by producing relatively small numbers of large eggs with very short incubation periods (average 11–85 d). This aspect promotes high survivorship by limiting exposure to predation and environmental perturbation, allows for larger more fit young, and facilitates rapid attainment of adult size. Birds are living dinosaurs; their rapid development has been considered to reflect the primitive dinosaurian condition. Here, nonavian dinosaurian incubation periods in both small and large ornithischian taxa are empirically determined through growth-line counts in embryonic teeth. Our results show unexpectedly slow incubation (2.8 and 5.8 mo) like those of outgroup reptiles. Developmental and physiological constraints would have rendered tooth formation and incubation inherently slow in other dinosaur lineages and basal birds. The capacity to determine incubation periods in extinct egg-laying amniotes has implications for dinosaurian embryology, life history strategies, and survivorship across the Cretaceous–Paleogene mass extinction event. 
 
 Skeletal growth series afford considerable understanding about posthatchling development in nonavian dinosaurs (hereafter dinosaurs) (1, 2). Nevertheless, very little is known about their embryology. An important parameter that can provide myriad insights into dinosaurian in ovo development is incubation period. This ontogenetic measure is relevant to the timing of developmental milestones (e.g., formation of eyes, teeth, brain, and so forth) (3⇓–5), mortality risks (6⇓⇓–9), egg and clutch sizes (10⇓–12), fecundity and lifespan (13), reproductive effort (14), altricial vs. precocial developmental modes (5, 15), parental attentiveness (13, 16), environmental and genetic influences affecting development (11, 12, 17), migration (18), environmental restrictions on breeding seasons (13, 14), and so forth. 
 
 Incubation periods differ substantially among extant nonavian reptiles (Lepidosauria, Testudines, Crocodylia; hereafter reptiles) (11) and birds (Neornithes) (10, 12). Most reptiles have two functional oviducts, and the eggs of an entire clutch are formed then laid at the same time (19⇓–21). The eggs typically hatch over considerably longer time periods than same-sized avian eggs (12, 22). Birds, on the other hand, typically have a single functional ovary and lay fewer, but relatively larger eggs than reptiles (23). In amniotes, egg size positively correlates with incubation period (10⇓–12). This should be a negative effect because of extended exposure of eggs to destructive influences (6, 24⇓–26). Birds generally mitigate these costs with short incubation periods made possible by elevated and relatively stable nest temperatures (through brooding or environmental heat sources) (27, 28), efficient gas conductance through the eggshell (29), and high embryonic metabolic and growth rates (22). 
 
 Birds are members of Sauria, which includes extant nonavian reptiles showing characteristically long incubation periods. However, they are also living dinosaurs (Dinosauria) (30, 31), with extant forms showing rapid incubation. Phylogenetically, either condition is plausible for their dinosaurian ancestors. A number of anatomical, behavioral and eggshell attributes of birds related to reproduction [e.g., medullary bone (32), brooding (33⇓⇓–36), eggshell with multiple structural layers (37, 38), pigmented eggs (39), asymmetric eggs (19, 40, 41), and monoautochronic egg production (19, 40)] trace back to their dinosaurian ancestry (42). For such reasons, rapid avian incubation has generally been assumed throughout Dinosauria (43⇓–45). 
 
 Incubation period estimates using regressions of typical avian values relative to egg mass range from 45 to 80 d across the known 0.42- to 5.63-kg dinosaurian egg-size spectrum (43). Similar estimates have resulted using alternative methods [e.g., 31–77 d across the dinosaurian size spectrum using estimates of adult and hatchling size and assuming avian embryonic metabolism (45) and 65–82 d for large (1.62–5.08 kg) sauropod eggs using avian clutch mass to adult size ratios and avian incubation rates (46)]. [Note: The possibility that sauropods showed incubation rates like members of the Crocodylia (the extant sister clade to Dinosauria) was explored in the latter study. However, this also predicts rapid values (68–71 d) because the regression line for crocodilians intercepts avian rates when extrapolated out to the grossly larger sauropod egg sizes.] 
 
 Direct determination of dinosaurian incubation duration has been considered intractable (43, 47). However, in crocodilian (48) and human (49) embryonic teeth, incremental lines of von Ebner that reflect diurnal pulses of mineralization during odontogenesis are present. Counts of these markers have been used to determine tooth formation times in postparturition mammals (50, 51), and replacement rates in posthatchling crocodilians (52) and dinosaurs (53, 54). This finding prompted us to explore the possibility that these time markers exist in embryonic dinosaur teeth and could be used to determine incubation period. 
 
 Here we: (i) show that incremental lines of von Ebner are present in embryonic dinosaur teeth; (ii) use increment counts and data on tooth initiation in reptiles to reveal incubation period in two ornithischian dinosaurs (Protoceratops andrewsi and Hypacrosaurus stebingeri), whose eggs span nearly the entire size range reported for dinosaurs; (iii) test whether these dinosaurs show typical rapid avian incubation times or primitive slow reptilian development; and (iv) explore ramifications of our results with regard to the origin of the modern avian condition, dinosaurian life history, and survivorship through the Cretaceous–Paleogene (K–Pg) extinction event. 
 
 Results Mean von Ebner incremental line width for embryonic P. andrewsi is 10.04 μm (n = 20; range 9.05–13.92 μm) and 15.26 μm (n = 15; range 9.42–16.62 μm) for H. stebingeri (Fig. 1 A and B). Mean replacement rates for embryonic P. andrewsi teeth are 30.68 d (n = 2 tooth families; 31.19 and 30.18 d) and 44.18 d for embryonic H. stebingeri teeth (n = 3 tooth families; 43.22, 43.48, and 45.83 d) (Materials and Methods and Fig. S1) Fig. 1. Daily growth lines in embryonic dinosaur teeth and CT rendering of a P. andrewsi jaw and tooth family. (A) Von Ebner’s growth lines (alternating dark and light bands) in the orthodentine surrounding the pulp cavity (at top of graphic) of an embryonic H. stebingeri tooth (polarized microscopy, transverse view). (B) Von Ebner’s growth lines surrounding the pulp cavity (at top of the graphic) in an embryonic tooth of P. andrewsi (polarized microscopy, transverse view). (C) High-resolution CT rendition of a P. andrewsi tooth family within the jaw used to determine tooth-formation times in embryonic teeth. Fig. S1. Determining incubation period and tooth replacement rates in embryonic dinosaurs. Embryonic dentitions of Protoceratops andrewsi and Hypacrosaurus stebingeri show different numbers of functional teeth in each tooth family and require different methods to determine incubation period. P. andrewsi (Upper) has a single functional tooth and a single replacement. The formation time for the most-developed functional teeth in the dentition was modeled as representing 58% of the total incubation period. In other words, the teeth destined to be the hatchling functional dental compliment were modeled as having been initiated 42% through development. (Note: The mean replacement rate, which equals the rate at which teeth were typically shed from each tooth family, is not used in the incubation period calculation, but was determined for future use in comparative dental studies.) In H. stebingeri (Lower) there are two functional teeth and a single replacement. The time elapsed to make the hatchling functional dentition similarly requires determining how many days it took to form the oldest tooth. However, the crown of that tooth is worn away from in ovo chewing. As such, a subset of the incremental lines have been effaced in the tooth and its formative time cannot be made using a total line count. However, it is a single-replacement cycle older than the next younger functional tooth. By aging that tooth and adding the tooth-replacement rate, the formative time for the oldest functional tooth is revealed. Coupling this value with consideration that that tooth began 42% through incubation provides an estimate of total incubation period. Near-term P. andrewsi embryos (Fig. 2 A and B) show tooth families composed of two teeth: one that is functional and the other a replacement (Fig. 1C and 2C and Fig. S1). The time elapsed in forming the oldest tooth in the dentition, determined from the total number of incremental lines represented in the tooth, is 48.23 d. As described below (Materials and Methods), hatchling teeth were conservatively modeled as initiating at 42% of the incubation period (34.93 d). The sum of these values reveals a minimum incubation period of 83.16 d for the P. andrewsi embryo. Fig. 2. P. andrewsi nest and embryonic dinosaur jaws. (A) Nest of P. andrewsi eggs and embryos. The embryos were partially prepared within the eggs. (B) Expanded view of an embryo within an egg showing the thin surrounding eggshell. (C) Embryonic P. andrewsi dentary showing functional and replacement teeth. (D) Section of an embryonic H. stebingeri dentary showing functional and developing replacement teeth. The near-term H. stebingeri embryos show tooth families composed of three teeth: two that are functional and a single replacement (Fig. 2D and Fig. S1). The oldest functional tooth is just a root remnant, so its formation time could not be directly determined from a total growth-line count because of the loss of increments present only in the tooth crown. However, the time elapsed in forming the oldest functional tooth was determined by summing the age of the younger functional tooth (55.27 d) and the tooth family replacement rate (44.18 d) (Materials and Methods and Fig. S1). This finding equates to a value of 99.45 d. Again, because the hatchling teeth conservatively began formation at 42% of incubation time (72.02 d), this reveals a minimum incubation period of 171.47 d. Comparison of P. andrewsi incubation period relative to that typical for birds with same-sized eggs shows greater than twofold slower values (83.16 vs. 39.72 d) and modestly faster values (∼17%) than predicted for typical reptiles (83.16 vs. 100.40 d) (Fig. 3). Among reptilian clades, the P. andrewsi incubation period is just 3.5% longer than typical for Crocodylia (83.16 vs. 80.20 d). Notably, crocodilians are the extant sister clade to Dinosauria. The results are 5.6% longer than predicted for chelonians (83.16 vs. 78.50 d) (Fig. 3). These findings support the alternative hypothesis that P. andrewsi retained the primitive reptilian incubation duration. Fig. 3. Dinosaur incubation periods compared with those for extant reptiles and birds. (Neontologic data from ref. 12). The dashed regression line for the two dinosaur species studied here is provided only to allow visual comparison with typical incubation periods for the other clades, Aves and reptiles in particular. Equations: All birds: incubation time = 11.64 × (egg mass)0.233. All reptiles: incubation time = 48.53 × (egg mass)0.138. The comparison of H. stebingeri incubation period with birds with same-sized eggs also shows over twofold slower values (171.47 vs. 81.54 d) (Fig. 3). The H. stebingeri incubation period is modestly longer (∼12%) than predicted for same-sized typical reptilian eggs (171.47 vs. 153.72 d) (Fig. 3). Although it is interesting to speculate what groups H. stebingeri incubation most resembles, eggs in living birds and reptiles are grossly smaller than those from this dinosaur. Nevertheless, these results, like those data for the P. andrewsi embryo, support the alternative hypothesis that H. stebingeri retained the primitive reptilian incubation duration. 
 
 Discussion Discovery of von Ebner incremental lines in embryonic dinosaur teeth provides direct empirical estimates for their incubation periods. This opens the door to tracing the genesis of rapid avian in ovo development and provides some of the first empirical insights into dinosaur embryology and life-history strategy. Dinosaur incubation periods have been estimated to be very rapid, assuming typical extant avian values. Regression of incubation period versus egg size in extant birds predict 40 d for small P. andrewsi eggs and 82 d for large H. stebingeri eggs (12) (Fig. 3). Our analyses show considerably slower development, respectively 83 and 171 d. These results are more similar to slow development typical of extant reptilian embryos (12), strongly suggesting rapid avian incubation was not primitive for Dinosauria. In fact, as explained below, because tooth formation shows developmental and physiological constraints (3, 53, 55, 56), it is very likely that most if not all toothed dinosaurs and basal toothed birds showed slow reptilian-grade incubation. Hatchling compliments of teeth typically do not appear earlier than 42% through incubation in extant reptiles (3). In addition, von Ebner line widths are limited to less than 30 μm, regardless of tooth size (53, 55, 56); this is caused by the necessity for dentine calcospherites to fully congeal over a day’s time to form an increment before the next daily mineralization event (49, 57, 58). These factors suggest rapid incubation evolved near the diversification of toothless birds (Neornithes) (59) (= Aves) (60). Notably, Deeming studied eggshell thickness and porosity in eggs representing dinosaurian diversity (61) and for the basal nonneornithine bird, Gobipteryx minuta (Enantiornithes) (62). He then estimated water vapor conductance and compared the results with extant reptilian and avian (Neornithes) values and their respective nesting conditions. Deeming concluded that dinosaurs and basal lineage nonneornithine birds most likely: (i) incubated their eggs buried in substrate like most reptiles and some extant birds (e.g., Megapodiidae); and (ii) did not show contact-incubation to control the incubation environment like most extant birds (61). These factors may have contributed to the slow development we found in the dinosaurs we studied. A notable implication of our capacity to estimate incubation periods using incremental line counts includes determination of them in any egg-laying fossil embryo that bears teeth, not just dinosaurs and basal birds. New embryological and comparative evolutionary insights into amniote embryology will result. For example, the potential to establish comparative developmental (aka normal) life-staging tables (the standardized metric in embryology) (63)—such as those that have been developed for chickens, mice, pigs, humans, crocodilians, and lizards (3, 63⇓–65)—might be achieved in fossils by coupling dental and skeletal formative stages with time elapsed through incubation. Furthermore, this method can directly predict incubation period in embryos bearing teeth in any taxon, regardless of egg size. Finally, the method allows exploration of incubation time variability within and between taxa, and to test when major evolutionary shifts occurred. Nevertheless, there are drawbacks precluding broad application of our technique for deducing dinosaurian and early avian incubation periods: namely, near-term embryos of taxa bearing teeth are rare. There are also uncertainties introduced by the method that could affect the accuracy. These uncertainties include: (i) fossil eggs are often crushed, necessitating size reconstruction (43) [various methods are used to estimate egg volume and mass, and each produces slightly different values (43)]; (ii) it is indeterminable how many days away from hatching near-term embryos were, which inherently produces underestimated incubation periods; and (iii) there is a level of uncertainty regarding when in development hatchling teeth initiate [typically 42–52% in extant sister taxon Crocodylia (3) and 51–67% in distant outgroup Squamata (64⇓⇓⇓⇓–69)], with higher percentages leading to longer incubation period estimation. Other methods for estimating dinosaur incubation periods based on regressions of typical avian or reptilian values relative to egg mass or adult body size (43⇓–45), or alternatively using clutch mass to adult size ratios (46), also have strengths and drawbacks. The major upside is that they can be applied to any egg (43, 44), clutch (46), or adult (45), regardless of whether an egg bearing an embryo is preserved. Potential sources of error include: (i) concerns regarding egg size and mass estimation (see above) or adult size estimation (2); (ii) uncertainties about individual clutch sizes (43, 46); (iii) extrapolation well outside of the upper range of extant egg sizes for large dinosaur eggs where there is negligible statistical confidence (43); (iv) there is considerable variation in incubation rates among extant taxa for a given egg size [e.g., reptilian incubation periods can range from ∼3.5- to 13-fold among species (12)]; and finally, (v) these methods assume that incubation rates were like those seen in extant clades [e.g., reptilian versus avian-like (43⇓⇓–46)]. With regard to the latter, our results demonstrate that some dinosaurs showed reptilian-like incubation periods. We favor using the egg-mass methodology (12, 43, 44) based on reptilian development for predicting incubation periods in fossil and nonneornithine birds when near term embryos bearing teeth are not present. The ecological and life-history implications of our findings that ornithischians and predictably all tooth-bearing dinosaurs (see above) had slow incubation relative to extant birds are considerable. Dinosaur eggs and attending parents (if present) (1, 33⇓⇓–36, 43) would have been exposed to prolonged risks (e.g., predation, starvation, and stochastic environmental events) (43, 45, 70, 71). This exposure likely contributed to their tendency to lay large clutches with relatively smaller eggs as a means to counter high-mortality rates (43, 72) within the egg (45, 46) and after hatching (73, 74). As in extant birds (13), prolonged nesting cycles may have made some environments improbable for successful reproduction and production of extra broods by some taxa, especially large dinosaurs whose incubation spanned the better part of a year. Speculation that neonates of large ornithischian dinosaurs (e.g., ceratopsians and hadrosaurids) made 2,600- to 3,200-km migrations from lower latitude nesting grounds to rich summer feeding grounds in the Arctic may have been infeasible because of unexpectedly short posthatching windows for seasonal travel (75⇓–77). Finally, hypotheses regarding nest microenvironment (43, 61), eggshell gas conductance (61, 78, 79), embryonic physiology (45), reproductive effort, annual numbers of clutches and taxon generation times (21, 80, 81), and developmental mode (43) can be strengthened or formally tested in light of slower in ovo dinosaur development. These results may have implications for nonavian dinosaur extinction. The end of the Cretaceous was marked by extreme catastrophe and rapid climatic change, resulting in a resource-limited environment (82). Growth-curve analyses suggest dinosaurs and basal birds were endothermic (83) or mesothermic (84) [i.e., considerably more energetically wasteful than ectothermic amphibians and reptiles (85)] but required a year or more to reach somatic and sexual maturity (35, 83). This likely required them to acquire more total resources to reproduce than surviving amphibians, reptiles, birds, and mammals. Coupled with slow generation times, augmented by slow incubation, these attributes may have put nonavian dinosaurs at a disadvantage in competing for vacated niche spaces in the post-K–Pg event world. 
 
 Materials and Methods Specimen Acquisitions and Egg Size Estimations. The embryonic remains of P. andrewsi (1.8-m adult total length; Ceratopsia: Protoceratopsidae) derive from a nest composed of 12 eggs discovered in Campanian sediments of the Upper Cretaceous Djadochta Formation from the Gobi Desert of Mongolia by American Museum of Natural History–Mongolian Academy of Sciences expeditions (86) (Fig. 2A). The nest is a bilobed depression in the sandstone, containing partly crushed 10.07 × 5.81 cm (±5%) elongated eggs with hemispherical ends, an egg shape previously known only in theropod dinosaurs (87). Each egg contains the skeleton of a well-ossified embryo, which occupies a substantial portion of the egg, with fully formed dentition (Fig. 2B). Notably, these are the first eggs definitively ascribed to Ceratopsia. [Eggs (ootaxon Elongatoolithidae) discovered by the Central Asiatic Expedition of 1923 were famously attributed to P. andrewsi, but were later shown to be from the theropod Oviraptor philoceratops (88). A purported egg from the neoceratopsian, Yamaceratops dorngobiensis (89) has been shown to be from an enantiornithine bird (90)]. The estimated volume of the eggs based on similarly proportioned ellipsoid reptile eggs [(π/6000)LD2 (91)] is 177.98 cc, making them the smallest eggs that can be definitively referred to a nonavian dinosaur yet discovered. [The next largest eggs containing identifiable dinosaur embryos are 9 × 7-cm therizinosaur eggs with an estimated volume of 230.79 cc (47).] For P. andrewsi, the estimated mass of the egg and embryo [vol. × 1.09 g/cc (43, 92)] at the time of hatching is 194.00 g. A left dentary (IGM 100/1021a; Mongolian Institute for Geology, Ulaanbaatar, Mongolia) containing six tooth families (each composed of a functional tooth plus a single underlying replacement tooth) was extracted from an egg for histological and computerized tomographic analyses (Fig. 2C). The H. stebingeri (9.1-m adult total length; Hadrosauridae: Lambeosaurinae) eggs were found in nests containing embryonic skeletons discovered by field parties of the Royal Tyrrell Museum of Paleontology, Drumheller, Alberta, Canada, from 1987 to 1999 in fluvial overbank deposits of the late Campanian Oldman Formation at Devil’s Coulee in southernmost Alberta. The nests, eggs, and embryos were described previously in considerable detail (93, 94). These near spherical eggs have dimensions of 18.5 × 20 cm and an estimated volume of 3,900 cc (93). This volume is 76% of the upper-bound of known dinosaur egg size [5,164 cc (43)]. The estimated mass of the egg and embryo [vol. × 1.09 g/cc (43, 92)] at the time of hatching is 4,251 g. We focused on specimens from a clutch containing four broken eggs which include embryonic remains within the confines of the eggs (TMP 87.79.149; Royal Tyrrell Museum of Paleontology, Drumheller, Alberta, Canada) and associated remains of four or more individuals (93), and an isolated same-sized embryonic tooth (TMP 87.077.0099). The latter was found slightly lower in a section from the main nesting horizon (93, 94). The embryos are ∼57 cm in length and are advanced in developmental stage, having well-formed skeletal elements and dental batteries with teeth worn in ovo (93). We sampled the isolated tooth and a left dentary from the nest that preserves five tooth families (Fig. 2D). Incubation Period and Tooth Replacement Rate Determinations. Each jaw was digitally prepared using high-resolution CT (2010 GE phoenix v|tome|x s240 high‐resolution microfocus CT system, General Electric) at the Microscopy and Imaging Facility of the American Museum of Natural, History, NY. (The original tomography data are available on request from the authors.) The renderings were used to determine time required to form the tooth batteries from longitudinal CT sections, where the entirety of development is represented [i.e., increments represented only at the apex of the tooth, and all others extending down to the root are accounted for (52, 53)] (Fig. 1C and Fig. S1). Dentine thickness was measured on the labial sides of the teeth and divided by the mean incremental line widths (see below) to reveal time of formation (in days) for each tooth. For IGM 100/1021a (P. andrewsi) that possesses just one functional tooth, the age of the oldest tooth crown in the battery represents the time required to form the hatchling tooth battery. Although the embryonic tooth replacement rate for P. andrewsi was not used in the incubation period calculation, it was determined for future use in comparative dental studies. This was determined using the difference in total incremental line counts between functional and replacement teeth based on tooth families that were uncrushed (Fig. S1). For TMP 87.79.149 (H. stebingeri), whose tooth families are developed into a battery that is composed of a replacement tooth, an older functional tooth crown, and an even older, heavily worn functional tooth root (the nubbins of which were about to be shed), the age of the younger functional tooth crown and the replacement rate were similarly determined. The replacement rate was added to the age of the younger functional tooth crown, thereby revealing the formation time of the oldest tooth and time required to form the hatchling tooth battery (Fig. S1). The methodology for determining tooth formation periods and replacement rates in reptiles using von Ebner’s growth lines is described by Erickson (52, 53). Specifically, the distal half of the P. andrewsi jaw was transversely sectioned in 1.2-mm segments using a slow-speed, diamond-bladed petrographic saw (Isomet 1000; Buehler). The same was then done to the remaining mesial portion of the dentary in the longitudinal plane. All sections were prepared for viewing with polarized (transmitted light) petrographic microscopy (BX-60; Olympus). The H. stebingeri tooth was serially sectioned in the transverse plane and similarly prepared for petrographic microscopic analysis. Longitudinal growth-line expression was examined using incidental light (direct illumination) dissection microscopy (SZX-12; Olympus) on fractured teeth within the jaw. Incremental lines of von Ebner were discovered in the teeth of both taxa (Fig. 1 A and B). Mean growth-line widths were determined for 15- to 20-well–delineated increments in the teeth of each taxon for use in the developmental analysis described above (Fig. S1). Amniote teeth do not appear before skull and jaw formation; this occurs well into embryonic development in egg-laying reptiles (66). Thus, in ovo tooth formation times provide absolute minimum estimates of incubation period. Almost all toothed reptiles produce several generations of teeth before establishing the functional compliment at hatching (66). The primordial null-generation teeth are resorbed, incorporated into the jaws, or shed in ovo (3, 66, 67). For example, American alligators (Alligator mississippiensis) go through two to four tooth-replacement cycles before hatching (95⇓–97). The timing for the establishment of amniote hatchling functional dentitions is well established. In crocodilians (extant sister taxon to Dinosauria) it typically occurs between 42% and 52% of the total incubation period (3) and at >51% in squamates (64, 65, 67⇓–69). In chicken (Gallus gallus domesticus), living dinosaurs, teeth primordia—none of which become functional—appear at 66% through incubation (98). We conservatively adjusted the total embryonic dinosaur tooth battery formation times to accommodate 42% of the incubation period for skull and jaw formation. The actual incubation periods were likely somewhat greater because (i) the embryos had yet to hatch and (ii) it is indeterminable whether the teeth in the fossils are truly the final hatchling compliment. Comparative Incubation Analysis. We plotted the dinosaur incubation data on a log-transformed modern comprehensive compilation of incubation periods relative to egg mass for birds (Aves; n = 1,525 species) (12). The phylogentically corrected [comparative analysis by independent contrasts (CAIC) (99)] results were used to test the hypothesis that dinosaurs showed typical rapid avian-grade incubation periods. The results were then compared with predictions for eggs typical of extant reptiles [lizards (Squamata), n = 90 species; snakes (Squamata: Serpentes), n = 51 species; crocodilians (Crocodylia), n =12 species; turtles (Chelonia), n = 48 species] (12). The phylogentically corrected (CAIC) results were then used to test the alternative hypothesis that dinosaurs retained primitive reptilian incubation periods. 
 
 Acknowledgments We thank James Gardner, Brandon Strilisky, Don Brinkman, François Therrien, and Carl Mehling for facilitating our access to specimens; Stephen Hendricks and Brian Inouye for discussions about the research; Mick Ellison and Ken Womble for photographic and graphics assistance; Amy Davison for preparing the Protoceratops materials; and Carolyn Merrill and Paul Gignac for conducting the CT scanning. Funding was generously provided by National Science Foundation Grant EAR 0959029 (to G.M.E. and M.A.N.); the Macaulay Family (M.A.N.); and Natural Sciences and Engineering Research Council Discovery Grant 327513-09 (to D.K.Z.). 
 
 Footnotes Author contributions: G.M.E. and D.K.Z. designed research; G.M.E., D.K.Z., and M.A.N. performed research; G.M.E., D.K.Z., and D.I.K. analyzed data; and G.M.E., D.K.Z., and M.A.N. wrote the paper. 
 
 The authors declare no conflict of interest. 
 
 This article is a PNAS Direct Submission. 
 
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 Dinosaur 'Baby Teeth' Reveal That Dino Eggs Hatched Slowly 
 
 Enlarge this image toggle caption Mick Ellison / American Museum of Natural History/Courtesy of Dr. Greg Erickson Mick Ellison / American Museum of Natural History/Courtesy of Dr. Greg Erickson 
 
 What to expect when you're expecting a baby dinosaur? Expect to wait. 
 
 That's the conclusion of a study by researchers at Florida State University who determined how long it took dinosaurs to hatch from their eggs by studying their teeth. Much like tree rings, teeth have growth lines called lines of von Ebner that can be used to estimate the age of an animal. 
 
 Researchers had expected dinosaurs might take the same time to hatch as bird, between a week and a half and three months. But in fact, they stayed in the shell far longer — between three and six months. 
 
 The leader of the study, Florida State University professor of anatomy and vertebrate paleontology Greg Erickson, says you can think of it like layers of paint. Every day, a liquid layer of dentine fills in the inner portion of the tooth and mineralizes, leaving distinct growth lines on the tooth that scientists can measure. 
 
 Enlarge this image toggle caption Darla Zelenitsky/University of Calgary Darla Zelenitsky/University of Calgary 
 
 The researchers studied two types of dinosaurs, Protoceratops andrewsi and Hypacrosaurus stebingeri. These two dinosaurs produced eggs that range from the smallest known dinosaur eggs, to some of the largest. "The Hypacrosaurus had a four kilogram egg — imagine that as four times larger than the egg of an ostrich," says Erickson. "They look like volleyballs." 
 
 The eggs revealed that dinosaurs probably spent about three to six months inside the egg before hatching, depending on the size of the dinosaur. 
 
 The long incubation time of the eggs could have played a role in the extinction of dinosaurs after the K-Pg extinction event. "You can imagine after the asteroid hit all of a sudden the resources went to nothing," says Erickson "Even when they (dinosaurs) did reproduce, they had extremely long incubation periods on top of it." Unfortunately for the dinosaurs, animals that reproduce quickly are better equipped to adapt to challenges and are more likely to survive extinction events. 
 
 The biggest limitations to the study are the number of specimens the researchers were able to analyze. While dinosaur eggs are fairly common fossils, intact eggs containing a skeleton are very rare. Erickson and his colleagues hope to look at more dinosaurs, including carnivorous dinosaurs, to see if their speculations about incubation times are true for all types of dinosaurs. 
 
 The new research published in the journal PNAS on Monday.
– A Florida State University professor thinks he's solved one of the "greatest riddles" about non-avian dinosaurs: Did their eggs incubate slowly like those of lizards, or quickly like those of birds? The former, found Gregory Erickson and his team, and they came to their conclusion by studying embryonic teeth. The team looked at both ends of the size spectrum: fossilized embryos of the sheep-sized Protoceratops, whose eggs weighed 6.8 ounces; and those of the massive duck-billed Hypacrosaurus, whose volleyball-sized eggs weighed nearly 9 pounds. After running the jaws through a CT scanner and actually extracting some of the teeth, they were able to count lines—called lines of von Ebner, reports NPR, and likened to an annual tree ring, but in this case, formed daily—in the dentine of the teeth in order to determine age. For the Protoceratops, it was about three months; for the Hypacrosaurus, about six. That's outside the average range of bird eggs, which Phys.org reports hatch in about a week and a half to just shy of three months. It's not just a neat-to-know fact, but one that could have contributed to their demise, per the study. As the Verge reports, dinosaur parents could have been tethered to their eggs for six months, making it tougher to migrate and easier to fall susceptible to floods, droughts, and predators. And "after the asteroid hit" 65 million years ago, Erickson tells NPR, dinosaurs had the double whammy of a dearth of resources and lengthy incubation periods that left them ill-positioned to survive. He'd next like to track down specimens of carnivorous embryos—no easy feat, as fossilized embryos are rare—to see if the timing holds true for them, too. (This dinosaur fossil is one of the "saddest" ever found.)