Cell-type allocation and variability in diverse Volvox species Volvox Poster final.pdf ·...

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Cell-type allocation and variability in diverse Volvox species Conclusions ter spe afr car aur rou Deborah Shelton a , Alexey Desnitskiy b , Richard Michod a a. Department of Ecology and Evolutionary Biology, University of Arizona, USA b. Department of Embryology, St. Petersburg State University, Russia References Environment in which low variability is adaptive: developmental mechanisms must resolve this trade-off? Environment in which high variability is adaptive: no trade-off, variability should be high? Species in this study Nozaki and Coleman (2011) (12) phylogenetic tree based on five chloroplast genes, showing the approximate position of the species studied here. Motivating questions and goals 3. Variability of reproductive cell number 1. Between-species allocation patterns 2. Within-species allocation patterns How precisely should the cell types be specified? mature reproductive cells offspring colonies Low variability High developmental costs? High variability Low developmental costs? With the appearance of cellular specialization, cell-type allocation strategy and variability of cell- type number immediately arise as new fitness-affecting traits. How do developmental mechanisms affecting these traits first evolve? How do volvocine algae resolve the life history strategy dilemmas posed by these traits? In this study our aims were to: 1. Confirm between-species somatic/reproductive scaling relationship (allocation strategy) 2. Look for relationship between developmental traits and within-species somatic/reproductive scaling relationship (allocation strategy) 3. Look for relationship between developmental traits and variability of cell specification 1. We did not find support for the previously-reported between-species somatic/reproductive cell volume scaling relationship. Our number of species was too small for robust between-species analyses, but do indicate that further investigation is warranted. 2. We found a positive correlation between somatic and reproductive cell number within species. The scaling exponent of this relationship was similar for all species, and indicates that investment in somatic volume increases more slowly than investment in reproductive volume. Species differed with respect to investment in somatic volume (for a given reproductive volume) but no pattern with respect to developmental traits emerged. This result could be sensitive to quality of the standardized species- specific cell volumes that we used from the literature. 3. Species differences in reproductive cell variability (for clones raised in one environment) did not correspond to known developmental differences. The overall level of variability was generally high compared to more complex organisms. Between-species comparisons in cell number (shown at left) do not take into account species differences in cell sizes, and thus do not bear directly on issues of allocation of total resources. We show the patterns in our cell number data here (left graph) for descriptive purposes only. V. rousseletii had a particularly high number of somatic cells, and V. carteri and V. africanus (program 2 species) had the lowest number of reproductive cells. Our data shows no correlation between species mean reproductive and somatic total volume (upper right graph). Our data generally show less reproductive and more somatic volume compared to Koufopanou (8) , likely due to different culture conditions. V. tertius stands out with low mean somatic volume and V. africanus stands out with low mean reproductive volume. The somatic volume predicted (by the within-species analyses for 8 x 10 5 μm 3 reproductive volume) correlates with the generation times reported by Solari et al. (11) . This preliminary result suggests that a benefit of investing in soma could be a shorter generation time. y = 0.0016x 1.36 R² = 0.85 R² = 0.04 1.E+05 1.E+06 1.E+05 1.E+06 1.E+07 Species mean total somatic cell volume per colony (μm 3 ) Species mean total reproductive cell volume per colony (μm 3 ) Koufopanou (1994) This study V. africanus V. tertius V. aureus V. sperm. V. carteri V. rousseletii R² = 0.07 y = 156.4x 0.56 R² = 0.43 y = 2,479.8x 0.41 R² = 0.13 y = 225.1x 0.60 R² = 0.46 y = 31.4x 0.69 R² = 0.25 y = 19.6x 0.69 R² = 0.35 1.E+04 1.E+05 1.E+06 1.E+07 1.E+04 1.E+05 1.E+06 Total volume of somatic cells in a colony (μm 3 ) Total volume of reproductive cells in a colony (μm 3 ) V. africanus V. aureus V. carteri f. weismannia V. rousseletii V. spermatosphaera V. tertius We did ordinary least squares regressions of total estimated somatic volume on total estimated reproductive volume (with both estimates log 10 - transformed, shown at right as power law regressions). Akaike information criterion (AIC) model selection (14) Species differed with respect to gonidial cell specification variability. However, there was no clear pattern of the Asexual cycle Each reproductive cell (usually) produces an offspring colony. Offspring colonies hatch with a full suite of reproductive and somatic cells; no cell divisions occur outside of embryogenesis. cells grow in size and extracellular matrix expands each reproductive cell develops into an offspring colony somatic cells die juvenile colonies hatch How many of each cell type should be specified? offspring colonies mature reproductive cells Developmental mechanisms determine investment in S and R and evolve in response to selective pressures for an adaptive allocation strategy. Volvox is an ideal system for addressing the evolution of the developmental mechanisms underpinning allocation strategies because they are relatively simple yet developmentally diverse. Although total investment in R and S trade-off for fixed levels of total resources (R+S=T), differences in acquisition (blue lines) can lead to positive correlations between observed R and S (blue stars) (1) . Cell-type allocation Six species with diverse developmental features (3-4) were studied. From growing, asexual populations, 40 colonies of each species were sampled. Reproductive cells were counted and somatic cell number was estimated by counting the somatic cells visible in the great circle. Total volume of reproductive and somatic cells was estimated using the species-specific geometric means for the volume of each cell- type (standardized to a particular time in development) reported in Koufopanou (8) . For an additional 200 colonies per species, reproductive cell number was counted. Methods Variability of allocation Somatic investment (S) Reproductive investment (R) Under stabilizing selection in a constant environment, less variability is generally also favored by selection. However, when the environment varies in an unpredictable way, high variability (bet hedging) can be a successful strategy (2) . The developmental mechanisms that affect allocation variability are often obscured by the overall complexity of development and have not been addressed in relatively simple multicellular organisms. At left, each box shows the reported range of Volvox asexual cell numbers for a species. Color corresponds to developmental program (3-10) (red=program 1, green=program 2, gray= program 3, blue=program 4). Koufopanou (8) observed that total somatic volume per colony increases about twice as fast as total reproductive volume per colony for comparisons among Volvox and Pleodorina species. Considering only Koufopanou’s (8) Volvox data gives a substantially different picture (scaling exponent of 1.22 rather than 1.94; graph at left). Additionally, there may be a relationship between the residuals and the developmental traits of species (bottom graph), so a model that pools only developmentally similar species may describe the empirical relationship better. Modeling and empirical work by From Koufopanou (1994) (8) : Selected previous work Solari and colleagues (11) examined developmental and hydrodynamic constraints of increasing size. They supported a >1 scaling exponent for proportion of somatic cells on total cell number. However, the slope of the scaling exponent that Koufopanou (8) observed (somatic volume on reproductive volume) has not been derived from first principles or followed up on with further empirical study. Number of somatic cells per colony Number of reproductive cells per colon y = 4E-07x 1.94 R² = 0.86 y = 0.01x 1.22 R² = 0.71 1.E+03 1.E+04 1.E+05 1.E+06 1.E+07 1.E+03 1.E+05 1.E+07 Species mean total somatic cell volume per colony (μm 3 ) Species mean total reproductive cell volume per colony (μm 3 ) Pleodorina Volvox -2.0E+05 -1.5E+05 -1.0E+05 -5.0E+04 0.0E+00 5.0E+04 1.0E+05 1.5E+05 2.0E+05 Residual Developmental program 1 Developmental program 2 Developmental program 3 Developmental program 4 Figures of two representative Volvox species from Kirk (1998) (13) : V. carteri V. rousseletii Species (program) Intercellular bridges in adult colony? Slow, light- dependent divisions? An asymmetric division? Small gonidia, growth between divisions? V. tertius (3) No Yes No No V. spermatosphaera (1) No No No No V. africanus (2) No No Yes No V. carteri f. weismannia (2) No No Yes No V. aureus (4) Yes (thin) Yes No Yes V. rousseletii (4) Yes (thick) Yes No Yes 1.E+02 1.E+03 1.E+04 1 10 Mean number of somatic cells per colony (cells) Mean number of reproductive cells per colony (cells) V. africanus V. aureus V. carteri f. weismannia V. rousseletii V. spermatosphaera V. tertius y = 6,258.0x -0.36 R² = 0.99 10 100 1.E+05 1.E+06 Generation time (hrs) Total somatic volume predicted (μm 3 ) V. aureus V. carteri V. rouseletti V. tertius indicates that species differ with respect to the intercept (proportionality constants) and that species have similar, or possibly the same, slopes (scaling exponents). The slope was 0.51 in the model with a common slope, indicating that somatic volume increases about half as fast as reproductive volume for species studied here. Thus, for the underlying S-R relationship, proportion somatic volume declines with increasing total volume. This contrasts with the previously-reported between-species pattern. We calculated the amount of somatic volume (height of the line) at a reproductive volume within the range of all species (6 x 10 5 μm 3 ). In ascending order of overall somatic investment at this level of reproductive volume, the species are: V. tertius (190,000 μm 3 ), V. aureus (206,000 μm 3 ), V. spermatosphaera (269,000 μm 3 ), V. africanus (552,000 μm 3 ), V. carteri (580,000 μm 3 ), V. rousseletii (659,000 μm 3 ). The program 4 species (V. rousseletii and V. aureus) had very different levels of somatic investment whereas the program 2 species (V. africanus and V. carteri) had similar levels of somatic investment. 0.0 0.1 0.2 0.3 0.4 0.5 1.E+05 1.E+06 Coefficient of variation of reproductive cell number Total somatic volume predicted (μm 3 ) V. africanus V. aureus V. carteri V. rousseletii V. spermatosphaera V. tertius coefficient of variation with developmental traits. There may be a positive relationship between somatic investment and reproductive cell number CV, though more data would be needed to test this (graph above; jackknifing was used to estimate the standard error of the CV). Overall, Volvox appears to have higher CV for fecundity than other, more complex organisms (0.15-0.25 for comparable data) (15-17) . It is an open question whether high Volvox variability is an adaptive strategy or a reflection of rather simple developmental control of cell-type allocation. 1. Van Noordwijk, A., & De Jong, G. 1986. Acquisition and allocation of resources: their influence on variation in life history tactics. The American Naturalist, 128: 137142. 2. Cohen, D. 1966. Optimizing reproduction in a randomly varying environment. Journal of Theoretical Biology 12:119-12. 3. Desnitski, A. G. 1995. A review on the evolution of development in Volvox-morphological and physiological aspects. European Journal of Protistology, 31:241247. 4. Herron, M. D., Desnitskiy, A. G., & Michod, R. E. 2010. Evolution of developmental programs in Volvox (Chlorophyta). Journal of Phycology, 46:316-324. 5. Smith, G. M. 1944. A comparative study of the species of Volvox. Transactions of the American Microscopical Society, 63:265310. 6. Darden, W. H. Jr. 1966. Sexual differentiation in Volvox aureus. The Journal of Protozoology, 13:239-255. 7. Kochert, G. 1968. Differentiation of reproductive cells in Volvox carteri. The Journal of Protozoology, 15:438-52. 8. Koufopanou, V. 1994. The Evolution of Soma in the Volvocales. The American Naturalist, 143:907-931. 9. McCracken, M. D., & Starr, R. C. 1970. Induction and development of reproductive cells in the K-32 strains of Volvox rousseletii. Arch. Protistenk., 112:262-282. 10. Iyengar, M. O. P. & Desikachary, T. V. 1981. Volvocales (p.532). Indian Council of Agricultural Research. 11. Solari, C. A., Kessler, J. O., & Michod, R. E. 2006. A hydrodynamics approach to the evolution of multicellularity: flagellar motility and germ- soma differentiation in volvocalean green algae. The American Naturalist, 167:537-54. 12. Nozaki, H., & Coleman, A. W. 2011. A New Species of Volvox Sect. Merrillosphaera (Volvocaceae, Chlorophyceae) From Texas. Journal of Phycology, 47:673-679. 13. Kirk, D. L. 1998. Volvox: Molecular-Genetic Origins of Multicellularity and Cellular Differentiation (Developmental and Cell Biology Series) (p. 381). Cambridge University Press. 14. Akaike H. 1974 A new look at the statistical model identification. IEEE Transactions on Automatic Control 19:716-723. 15. Hill, W., Mulder, H. & Zhang, X. 2007. The quantitative genetics of phenotypic variation in animals. Acta Agriculturae Scandinavica Section A- Animal Science 57:175-182. 16. Abell, A. 1999. Variation in clutch size and offspring size relative to environmental conditions in the lizard Sceloporus virgatus. Journal of Herpetology, 33:173-180. 17. Guinnee, M., West, S. & Little, T. 2004. Testing small clutch size models with Daphnia. American Naturalist, 163:880-887. Acknowledgements We thank B. Enquist, B. Walsh, J. Bear, and D. Billheimer for helpful discussions and statistical advice. We are also grateful for many helpful discussions with J. Monti-Masel, A. Badyaev, D. Elliott, A. Nedelcu, M. Herron, C. Solari, V. Galzenati, Q. Li, P. Ferris, E. Hanschen, and M. Leslie.

Transcript of Cell-type allocation and variability in diverse Volvox species Volvox Poster final.pdf ·...

Cell-type allocation and variability in diverse Volvox species

Conclusions

ter

spe

afr

car

aur

rou

Deborah Sheltona, Alexey Desnitskiyb, Richard Michoda

a. Department of Ecology and Evolutionary Biology, University of Arizona, USA b. Department of Embryology, St. Petersburg State University, Russia

References

• Environment in which low variability is adaptive: developmental mechanisms must resolve this trade-off? • Environment in which high variability is adaptive: no trade-off, variability should be high?

Species in this study Nozaki and Coleman (2011)(12) phylogenetic tree based on five chloroplast genes, showing the approximate position of the species studied here.

Motivating questions and goals

3. Variability of reproductive cell number

1. Between-species allocation patterns

2. Within-species allocation patterns

How precisely should the cell types be specified?

mature reproductive

cells

offspring colonies

Low variability • High developmental costs?

High variability • Low developmental costs?

With the appearance of cellular specialization, cell-type allocation strategy and variability of cell-type number immediately arise as new fitness-affecting traits. How do developmental mechanisms affecting these traits first evolve? How do volvocine algae resolve the life history strategy dilemmas posed by these traits? In this study our aims were to: 1. Confirm between-species somatic/reproductive scaling relationship (allocation strategy) 2. Look for relationship between developmental traits and within-species somatic/reproductive

scaling relationship (allocation strategy) 3. Look for relationship between developmental traits and variability of cell specification

1. We did not find support for the previously-reported between-species somatic/reproductive cell volume scaling relationship. Our number of species was too small for robust between-species analyses, but do indicate that further investigation is warranted.

2. We found a positive correlation between somatic and reproductive cell number within species. The scaling exponent of this relationship was similar for all species, and indicates that investment in somatic volume increases more slowly than investment in reproductive volume. Species differed with respect to investment in somatic volume (for a given reproductive volume) but no pattern with respect to developmental traits emerged. This result could be sensitive to quality of the standardized species-specific cell volumes that we used from the literature.

3. Species differences in reproductive cell variability (for clones raised in one environment) did not correspond to known developmental differences. The overall level of variability was generally high compared to more complex organisms.

• Between-species comparisons in cell number (shown at left) do not take into account species differences in cell sizes, and thus do not bear directly on issues of allocation of total resources. We show the patterns in our cell number data here (left graph) for descriptive purposes only. • V. rousseletii had a particularly high number of somatic cells, and V. carteri

and V. africanus (program 2 species) had the lowest number of reproductive cells.

• Our data shows no correlation between species mean reproductive and somatic total volume (upper right graph).

• Our data generally show less reproductive and more somatic volume compared to Koufopanou(8), likely due to different culture conditions.

• V. tertius stands out with low mean somatic volume and V. africanus stands out with low mean reproductive volume.

• The somatic volume predicted (by the within-species analyses for 8 x 105 µm3 reproductive volume) correlates with the generation times reported by Solari et al. (11). This preliminary result suggests that a benefit of investing in soma could be a shorter generation time.

y = 0.0016x1.36 R² = 0.85

R² = 0.04

1.E+05

1.E+06

1.E+05 1.E+06 1.E+07

Spec

ies

mea

n t

ota

l so

mat

ic c

ell v

olu

me

per

co

lon

y (µ

m3)

Species mean total reproductive cell volume per colony (µm3)

Koufopanou (1994)

This study

V. africanus

V. tertius

V. aureus

V. sperm. V. carteri

V. rousseletii

R² = 0.07

y = 156.4x0.56 R² = 0.43

y = 2,479.8x0.41 R² = 0.13

y = 225.1x0.60 R² = 0.46

y = 31.4x0.69 R² = 0.25

y = 19.6x0.69 R² = 0.35

1.E+04

1.E+05

1.E+06

1.E+07

1.E+04 1.E+05 1.E+06

Tota

l vo

lum

e o

f so

mat

ic c

ells

in a

co

lon

y (µ

m3)

Total volume of reproductive cells in a colony (µm3)

V. africanus

V. aureus

V. carteri f. weismannia

V. rousseletii

V. spermatosphaera

V. tertius

• We did ordinary least squares regressions of total estimated somatic volume on total estimated reproductive volume (with both estimates log10-transformed, shown at right as power law regressions).

• Akaike information criterion (AIC) model selection (14)

• Species differed with respect to gonidial cell specification variability. However, there was no clear pattern of the

Asexual cycle • Each reproductive cell (usually) produces an offspring colony.

• Offspring colonies hatch with a full suite of reproductive and somatic cells; no cell divisions occur outside of embryogenesis.

cells grow in size and extracellular matrix expands

each reproductive cell develops into an offspring colony

somatic cells die

juvenile colonies hatch

How many of each cell type should be specified? offspring

colonies

mature reproductive

cells

• Developmental mechanisms determine investment in S and R and evolve in response to selective pressures for an adaptive allocation strategy. • Volvox is an ideal system for addressing the evolution of the developmental mechanisms underpinning allocation strategies because they are relatively simple yet developmentally diverse. • Although total investment in R and S trade-off for fixed levels of total resources (R+S=T), differences in acquisition (blue lines) can lead to positive correlations between observed R and S (blue stars) (1).

Cell-type allocation

• Six species with diverse developmental features (3-4) were studied. • From growing, asexual populations, 40 colonies of each species were sampled. Reproductive cells were counted and somatic cell number was estimated by counting the somatic cells visible in the great circle. • Total volume of reproductive and somatic cells was estimated using the species-specific geometric means for the volume of each cell-type (standardized to a particular time in development) reported in Koufopanou(8). • For an additional 200 colonies per species, reproductive cell number was counted.

Methods

Variability of allocation

Som

atic

inve

stm

ent

(S)

Reproductive investment (R)

• Under stabilizing selection in a constant environment, less variability is generally also favored by selection. • However, when the environment varies in an unpredictable way, high variability (bet hedging) can be a successful strategy(2). • The developmental mechanisms that affect allocation variability are often obscured by the overall complexity of development and have not been addressed in relatively simple multicellular organisms.

•At left, each box shows the reported range of Volvox asexual cell numbers for a species. Color corresponds to developmental program(3-10) (red=program 1, green=program 2, gray= program 3, blue=program 4). • Koufopanou (8) observed that total somatic volume per colony increases about twice as fast as total reproductive volume per colony for comparisons among Volvox and Pleodorina species. • Considering only Koufopanou’s(8) Volvox data gives a substantially different picture (scaling exponent of 1.22 rather than 1.94; graph at left). • Additionally, there may be a relationship between the residuals and the developmental traits of species (bottom graph), so a model that pools only developmentally similar species may describe the empirical relationship better. • Modeling and empirical work by

From Koufopanou (1994) (8):

Selected previous work

Solari and colleagues(11) examined developmental and hydrodynamic constraints of increasing size. • They supported a >1 scaling exponent for proportion of somatic cells on total cell number. • However, the slope of the scaling exponent that Koufopanou(8) observed (somatic volume on reproductive volume) has not been derived from first principles or followed up on with further empirical study.

Number of somatic cells per colony

Nu

mb

er o

f re

pro

du

ctiv

e ce

lls p

er c

olo

n

y = 4E-07x1.94 R² = 0.86

y = 0.01x1.22

R² = 0.71

1.E+03

1.E+04

1.E+05

1.E+06

1.E+07

1.E+03 1.E+05 1.E+07

Spec

ies

mea

n t

ota

l so

mat

ic

cell

volu

me

per

co

lon

y (µ

m3)

Species mean total reproductive cell volume per colony (µm3)

Pleodorina Volvox

-2.0E+05

-1.5E+05

-1.0E+05

-5.0E+04

0.0E+00

5.0E+04

1.0E+05

1.5E+05

2.0E+05

Res

idu

al

Developmental program 1

Developmental program 2

Developmental program 3

Developmental program 4

Figures of two representative Volvox species from Kirk (1998) (13):

V. carteri

V. rousseletii

Species (program)

Intercellular bridges in adult

colony?

Slow, light-dependent divisions?

An asymmetric division?

Small gonidia, growth between

divisions?

V. tertius (3) No Yes No No

V. spermatosphaera (1) No No No No

V. africanus (2) No No Yes No

V. carteri f. weismannia (2)

No No Yes No

V. aureus (4) Yes (thin) Yes No Yes

V. rousseletii (4) Yes (thick) Yes No Yes

1.E+02

1.E+03

1.E+04

1 10 Mea

n n

um

be

r o

f so

mat

ic c

ells

p

er

colo

ny

(cel

ls)

Mean number of reproductive cells per colony (cells)

V. africanus

V. aureus

V. carteri f. weismannia

V. rousseletii

V. spermatosphaera

V. tertius

y = 6,258.0x-0.36 R² = 0.99

10

100

1.E+05 1.E+06

Gen

erat

ion

tim

e (h

rs)

Total somatic volume predicted (µm3)

V. aureus

V. carteri

V. rouseletti

V. tertius

indicates that species differ with respect to the intercept (proportionality constants) and that species have similar, or possibly the same, slopes (scaling exponents).

• The slope was 0.51 in the model with a common slope, indicating that somatic volume increases about half as fast as reproductive volume for species studied here. Thus, for the underlying S-R relationship, proportion somatic volume declines with increasing total volume. This contrasts with the previously-reported between-species pattern.

• We calculated the amount of somatic volume (height of the line) at a reproductive volume within the range of all species (6 x 105 µm3). In ascending order of overall somatic investment at this level of reproductive volume, the species are: V. tertius (190,000 µm3), V. aureus (206,000 µm3), V. spermatosphaera (269,000 µm3), V. africanus (552,000 µm3), V. carteri (580,000 µm3), V. rousseletii (659,000 µm3).

• The program 4 species (V. rousseletii and V. aureus) had very different levels of somatic investment whereas the program 2 species (V. africanus and V. carteri) had similar levels of somatic investment.

0.0

0.1

0.2

0.3

0.4

0.5

1.E+05 1.E+06 Co

effi

cien

t o

f va

riat

ion

of

rep

rod

uct

ive

cell

nu

mb

er

Total somatic volume predicted (µm3)

V. africanus V. aureus V. carteri V. rousseletii V. spermatosphaera V. tertius

coefficient of variation with developmental traits. • There may be a positive relationship between

somatic investment and reproductive cell number CV, though more data would be needed to test this (graph above; jackknifing was used to estimate the standard error of the CV).

• Overall, Volvox appears to have higher CV for fecundity than other, more complex organisms (0.15-0.25 for comparable data) (15-17). It is an open question whether high Volvox variability is an adaptive strategy or a reflection of rather simple developmental control of cell-type allocation.

1. Van Noordwijk, A., & De Jong, G. 1986. Acquisition and allocation of resources: their influence on variation in life history tactics. The American Naturalist, 128: 137–142.

2. Cohen, D. 1966. Optimizing reproduction in a randomly varying environment. Journal of Theoretical Biology 12:119-12. 3. Desnitski, A. G. 1995. A review on the evolution of development in Volvox-morphological and physiological aspects. European Journal of

Protistology, 31:241–247. 4. Herron, M. D., Desnitskiy, A. G., & Michod, R. E. 2010. Evolution of developmental programs in Volvox (Chlorophyta). Journal of Phycology,

46:316-324. 5. Smith, G. M. 1944. A comparative study of the species of Volvox. Transactions of the American Microscopical Society, 63:265–310. 6. Darden, W. H. Jr. 1966. Sexual differentiation in Volvox aureus. The Journal of Protozoology, 13:239-255. 7. Kochert, G. 1968. Differentiation of reproductive cells in Volvox carteri. The Journal of Protozoology, 15:438-52. 8. Koufopanou, V. 1994. The Evolution of Soma in the Volvocales. The American Naturalist, 143:907-931. 9. McCracken, M. D., & Starr, R. C. 1970. Induction and development of reproductive cells in the K-32 strains of Volvox rousseletii. Arch. Protistenk.,

112:262-282.

10. Iyengar, M. O. P. & Desikachary, T. V. 1981. Volvocales (p.532). Indian Council of Agricultural Research. 11. Solari, C. A., Kessler, J. O., & Michod, R. E. 2006. A hydrodynamics approach to the evolution of multicellularity: flagellar motility and germ-

soma differentiation in volvocalean green algae. The American Naturalist, 167:537-54. 12. Nozaki, H., & Coleman, A. W. 2011. A New Species of Volvox Sect. Merrillosphaera (Volvocaceae, Chlorophyceae) From Texas. Journal of

Phycology, 47:673-679. 13. Kirk, D. L. 1998. Volvox: Molecular-Genetic Origins of Multicellularity and Cellular Differentiation (Developmental and Cell Biology Series) (p. 381).

Cambridge University Press. 14. Akaike H. 1974 A new look at the statistical model identification. IEEE Transactions on Automatic Control 19:716-723. 15. Hill, W., Mulder, H. & Zhang, X. 2007. The quantitative genetics of phenotypic variation in animals. Acta Agriculturae Scandinavica Section A-

Animal Science 57:175-182. 16. Abell, A. 1999. Variation in clutch size and offspring size relative to environmental conditions in the lizard Sceloporus virgatus. Journal of

Herpetology, 33:173-180. 17. Guinnee, M., West, S. & Little, T. 2004. Testing small clutch size models with Daphnia. American Naturalist, 163:880-887.

Acknowledgements We thank B. Enquist, B. Walsh, J. Bear, and D. Billheimer for helpful discussions and statistical advice. We are also grateful for many helpful discussions with J. Monti-Masel, A. Badyaev, D. Elliott, A. Nedelcu, M. Herron, C. Solari, V. Galzenati, Q. Li, P. Ferris, E. Hanschen, and M. Leslie.