Skip to main content
  • Other Publications
    • Philosophical Transactions B
    • Proceedings B
    • Biology Letters
    • Open Biology
    • Philosophical Transactions A
    • Proceedings A
    • Royal Society Open Science
    • Interface
    • Interface Focus
    • Notes and Records
    • Biographical Memoirs

Advanced

  • Home
  • Content
    • Latest issue
    • All content
    • Subject collections
    • Special features
    • Podcasts
  • Information for
    • Authors
    • Reviewers
    • Readers
    • Institutions
    • The media
  • About us
    • About the journal
    • Editorial board
    • Author benefits
    • Policies
    • Citation metrics
    • Publication times
    • Open access
  • Sign up
    • Subscribe
    • eTOC alerts
    • Keyword alerts
    • RSS feeds
    • Newsletters
  • Submit
You have accessRestricted access

Latitudinal variation in light levels drives human visual system size

Eiluned Pearce, Robin Dunbar
Published 27 July 2011.DOI: 10.1098/rsbl.2011.0570
Eiluned Pearce
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
Robin Dunbar
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • Article
  • Figures & Data
  • Info & Metrics
  • eLetters
  • PDF
Loading

Abstract

Ambient light levels influence visual system size in birds and primates. Here, we argue that the same is true for humans. Light levels, in terms of both the amount of light hitting the Earth's surface and day length, decrease with increasing latitude. We demonstrate a significant positive relationship between absolute latitude and human orbital volume, an index of eyeball size. Owing to tight scaling between visual system components, this will translate into enlarged visual cortices at higher latitudes. We also show that visual acuity measured under full-daylight conditions is constant across latitudes, indicating that selection for larger visual systems has mitigated the effect of reduced ambient light levels. This provides, to our knowledge, the first support that light levels drive intraspecific variation in visual system size in the human population.

1. Introduction

The association between ambient light levels and visual system size is well established in birds [1,2] and primates [3–10]. Lower light conditions during dawn singing in birds [2] or nocturnal activity in primates (e.g. [7]) necessitate larger eyes. These allow larger corneas and pupils and more numerous high-summation (many photoreceptors per retinal ganglion cell) rods, enhancing sensitivity. This is traded against decreased acuity (the distance between points that can be distinguished), which in contrast requires denser cones with low summation, but is nonetheless also positively associated with eye size [11,12].

Enlarged eyes enable parallel increases in sensitivity and acuity, in that they both enhance light-gathering capacity through larger corneas and increase retinal image size, functionally reducing summation because each receptor field corresponds to a smaller proportion of an image [13]. Along these lines, it has been suggested that increasing eyeball size allowed derived nocturnal Tarsius and Aotus haplorrhines to increase visual sensitivity while simultaneously maintaining relatively high acuity [13], probably for nocturnal predation [7].

Both illuminance (the amount of light incident on the Earth's surface) and minimum day length decrease with increasing absolute latitude [14], and seasonally shorter day lengths create time pressures that require activity during the mesopic (intermediate light levels between rod saturation and the minimum threshold for cone function) and scotopic (when only rods are active) conditions of dawn and dusk [14]. Lower illuminance means that, even during fully photopic (daylight) conditions, high latitude humans may require larger eyes to attain the same level of acuity as those living at lower latitudes. By contrast, under dawn/dusk light levels, higher latitude larger eyed humans may well demonstrate markedly higher acuity than lower latitude individuals, owing to greater light capture through an enlarged cornea in combination with larger retinal images.

Visual system component size, from eyeball to both primary visual (V1) and extrastriate cortical areas, are highly correlated in mammals independently of overall cortex size, allometry and phylogeny [3,6], as are eye and brain size in birds [15]. Within humans, there is a point-to-point representation between retina and V1 [16], associated with isometric scaling of the optic tract and lateral geniculate nucleus [17], which, owing to the hierarchical organization of the primate visual system [18,19], translates into tight scaling with upstream visual areas V2 and V3 [20,21].

This close association between retina and V1 [16,22] means that changing retina size directly influences V1 volume. For instance, human disorders such as albinism or those associated with defects in the PAX6 gene cause malformed or absence of fovea and are associated with reduced grey matter volume in the occipital pole (the V1 region representing the fovea) [23]. A similar effect associated with domestication has been noted in cats: reduction in cone density has resulted in a 30 per cent reduction in visual path volume, and hence overall brain volume [24]. In humans, V1 cortical volume is positively associated with visual acuity, indicating that anatomical differences translate into significant functional effects [25].

Decreasing ambient light levels should select for increasing eye and visual cortex size in order to increase sensitivity and maintain acuity. We thus predict a latitudinal increase in human orbital volume (which is proportional to eyeball size [26,27]). Since enlarged visual systems should be selected to counteract the potential negative impacts on visual processing of decreasing light levels, we also predict that visual acuity measured under ambient photopic conditions should be maintained at a constant level across latitudes regardless of the decrease in light levels.

2. Material and methods

We measured cranial capacity (CC), orbital volume and foramen magnum (FM) dimensions for 73 healthy adult crania from the Oxford University Museum of Natural History and Duckworth Collection, University of Cambridge (see the electronic supplementary material). We then set a minimum criterion of three skulls per population to minimize outlier-effects in calculating population means, yielding 55 skulls from 12 populations (electronic supplementary material, table S1). Analyses were carried out on full (n = 73) and subset (n = 55) samples, as well as on population means (n = 12). The results were consistent, so we present only the population mean analyses, controlling for possible dependence between individuals within populations. We controlled for phylogeny using phylogenetic general linear model (see the electronic supplementary material).

To measure orbital volume with 1 mm diameter glass spheres, we lined the orbits with laboratory film. To measure CC, apertures were blocked with white tack, and the cranial cavity filled with wax beads (approx. 5 mm diameter and 2 mm thick). We measured volumes using graduated cylinders. Precautions were taken to maximize reliability (see the electronic supplementary material). We calculated FM cross-sectional area from length and inter-condyle width as a proxy for body mass [28] (see the electronic supplementary material).

All find-site or central country latitudes and longitudes were found using Google latitude [29]. We calculated altitude of the Sun at noon for each latitude/longitude coordinate using [30,31] and log illuminance (lux) following the study of Seidelmann ([32]: 492, table 9.34.1). Minimum illuminances were identified and transformed into raw form for linear regression. We used Google maps [33] to find the nearest town/city to the latitude/longitude coordinates and obtained mean minimum temperatures (converted to °C) from Weatherbase [34]. These data were not available for Uganda and Micronesia, so the lowest mean monthly temperatures were substituted.

We obtained visual acuity data for native adults measured under ambient photopic conditions from Myers [35] and Rivers [36] (electronic supplementary material, table S2).

None of the variables deviated significantly from a normal distribution (Kolmogorov–Smirnov one-sample tests).

3. Results

A significant positive relationship was found between absolute latitude and orbital volume (figure 1a: t10 = 6.686, p < 0.001, r2 = 0.817), controlling for phylogeny (see electronic supplementary material, figure S1; for all equations, see electronic supplementary material).

Figure 1.
  • Download figure
  • Open in new tab
  • Download powerpoint
Figure 1.

(a) Mean orbital volumes for 12 human populations plotted against absolute mean latitude. Dashed lines show 95% confidence intervals. r2 linear = 0.817. (b) Standardized absolute latitude (squares and short-dashed line, r2 = 0.817) and cranial capacity (circles and long-dashed line, r2 = 0.423) plotted against standardized orbital volume.

To account for scaling relationships between eyeball and brain size, we included the interaction between standardized CC and absolute latitude in a two-block multiple linear regression. The model without the interaction term gives a significant partial correlation between absolute latitude and orbital volume (t9 = 4.422, p = 0.002, Embedded Image) independently of CC, which itself was not significantly correlated with orbital volume once latitude was partialled out (t9 = −0.212, p = 0.837). Adding a cranial capacity × absolute latitude interaction term does not change this result (t8 = 5.933, p < 0.001, Embedded Image; partial cranial t8 = −7.98, p = 0.448), even though the interaction term itself is significant (t8 = −2.401, p = 0.043). As the data are in standardized units, the negative interaction term implies that orbit volume increases faster with absolute latitude than does CC (figure 1b). This indicates that the latitudinal increase in human orbital volume is greater than that predicted by positive allometry with total brain size per se. In other words, any relationship between eyeball and brain volume is mediated by the positive association between human brain size and latitude [37].

Backwards stepwise regression removed FM area (indexing body size) without significant reduction in r2, producing a best model showing a main effect of absolute latitude independent of interaction effects between absolute latitude and/or FM area and CC (electronic supplementary material, table S3). Phylogeny made no difference (electronic supplementary material, table S5).

An alternative explanation for latitudinal increases in orbital volume is that eyes require progressively more insulative fat in colder climates. However, orbital volume remained significantly associated with minimum illuminance (t9 = −3.394, p = 0.008, Embedded Image) when mean minimum temperature (p = 0.734) was partialled out.

If ambient light levels select for eyeball enlargement to maintain constant photopic visual acuity, then acuity measured under natural daylight conditions should not vary systematically with absolute latitude; instead, enlarged eyes should compensate for associated decreases in illuminance, thus causing the acuity curve to flat line. As predicted, acuity and latitude are not correlated (figure 2), either when controlling for phylogeny (electronic supplementary material) or when the sample is restricted to populations measured using a standard method (n = 10).

Figure 2.
  • Download figure
  • Open in new tab
  • Download powerpoint
Figure 2.

Visual acuity for various human populations [35,36] plotted against absolute latitude. Dashed lines show 95% confidence intervals. r2 linear = 0.033.

4. Discussion

We have shown that human orbital volume significantly increases with absolute latitude independently of phylogeny, brain size and body mass, suggesting that there has been selection for larger eyeballs under progressively lower light conditions. This holds true even when controlling for minimum temperature, indicating that selection is on eyeball size rather than on insulating packing. In addition, our finding that human visual acuity under latitude-specific photopic conditions remains constant across latitudes implies selection for enlarged eyeballs to allow decreases in light levels to be tracked as humans occupied successively higher latitudes. If this is so, then we predict that measurement under standardized (i.e. optimal) light conditions should yield increasing acuity with absolute latitude, particularly at meso/scotopic light levels. Finally, owing to tight scaling between visual system components, larger eyeballs will necessitate proportionately enlarged visual cortices, and hence, a parallel positive latitudinal trend in these brain regions.

Acknowledgements

We thank the Oxford University Museum of Natural History and Duckworth Collection, University of Cambridge; we also thank Quentin Atkinson for advice on phylogenetic analysis, our ICEA colleagues, particularly Susanne Shultz, and two anonymous referees for invaluable comments on earlier drafts. This research is funded by the British Academy Centenary Research Project, ‘Lucy to Language: the Archaeology of the Social Brain’ and the Boise Fund, University of Oxford.

  • Received June 5, 2011.
  • Accepted July 5, 2011.
  • This Journal is © 2011 The Royal Society

References

  1. ↵
    1. Thomas R. J.,
    2. Székely T.,
    3. Powell R. F.,
    4. Cuthill I. C.
    2006 Eye size, foraging methods and the timing of foraging in shorebirds. Funct. Ecol. 20, 157–165. doi:10.1111/j.1365-2435.2006.01073.x (doi:10.1111/j.1365-2435.2006.01073.x)
    OpenUrlCrossRefWeb of Science
  2. ↵
    1. Thomas R. J.,
    2. Székely T.,
    3. Cuthill I. C.,
    4. Harper D. G. C.,
    5. Newson S. E.,
    6. Frayling T. D.,
    7. Wallis P. D.
    2002 Eye size in birds and the timing of song at dawn. Proc. R. Soc. Lond. B 269, 831–837. doi:10.1098/rspb.2001.1941 (doi:10.1098/rspb.2001.1941)
    OpenUrlAbstract/FREE Full Text
  3. ↵
    1. Barton R. A.
    1998 Visual specialization and brain evolution in primates. Proc. R. Soc. Lond. B 265, 1933–1937. doi:10.1098/rspb.1998.0523 (doi:10.1098/rspb.1998.0523)
    OpenUrlAbstract/FREE Full Text
    1. Barton R. A.
    1996 Neocortex size and behavioural ecology in primates. Proc. R. Soc. Lond. B 263, 173–177. doi:10.1098/rspb.1996.0028 (doi:10.1098/rspb.1996.0028)
    OpenUrlAbstract/FREE Full Text
    1. Barton R. A.,
    2. Purvis A.,
    3. Harvey P. H.
    1995 Evolutionary radiation of visual and olfactory brain systems in primates, bats and insectivores. Phil. Trans. R. Soc. Lond. B 348, 381–392. doi:10.1098/rstb.1995.0076 (doi:10.1098/rstb.1995.0076)
    OpenUrlAbstract/FREE Full Text
  4. ↵
    1. Barton R. A.
    2007 Evolutionary specialization in mammalian cortical structure. J. Evol. Biol., 20, 1504–1511. doi:10.1111/j.1420-9101.2007.01330.x (doi:10.1111/j.1420-9101.2007.01330.x)
    OpenUrlCrossRefMedlineWeb of Science
  5. ↵
    1. Kirk E. C.
    2006 Effects of activity pattern on eye size and orbital aperture size in primates. J. Hum. Evol. 51, 159–170. doi:10.1016/j.jhevol.2006.02.004 (doi:10.1016/j.jhevol.2006.02.004)
    OpenUrlCrossRefMedlineWeb of Science
    1. Kirk E. C.
    2006 Eye morphology in Cathemeral Lemurids and other mammals. Folia Primatol. 77, 27–49. doi:10.1159/000089694 (doi:10.1159/000089694)
    OpenUrlCrossRefMedlineWeb of Science
    1. Kirk E. C.
    2004 Comparative morphology of the eye in primates. Anat. Rec. 281A, 1095–1103. doi:10.1002/ar.a.20115 (doi:10.1002/ar.a.20115)
    OpenUrlCrossRef
  6. ↵
    1. Ross C. F.,
    2. Kirk E. C.
    2007 Evolution of eye size and shape in primates. J. Hum. Evol. 52, 294–313. doi:10.1016/j.jhevol.2006.09.006 (doi:10.1016/j.jhevol.2006.09.006)
    OpenUrlCrossRefMedlineWeb of Science
  7. ↵
    1. Kiltie R. A.
    2000 Scaling of visual acuity with body size in mammals and birds. Funct. Ecol. 14, 226–234. doi:10.1046/j.1365-2435.2000.00404.x (doi:10.1046/j.1365-2435.2000.00404.x)
    OpenUrlCrossRefWeb of Science
  8. ↵
    1. Walls G. L.
    1942 The vertebrate eye and its adaptive radiation. Bloomfield Hills, MI: Cranbrook Institute of Science.
  9. ↵
    1. Kay R. F.,
    2. Kirk E. C.
    2000 Osteological evidence for the evolution of activity pattern and visual acuity in primates. Am. J. Phys. Anthropol. 113, 235–262. doi:10.1002/1096-8644(200010)113:2<235::AID-AJPA7>3.0.CO;2-9 (doi:10.1002/1096-8644(200010)113:2<235::AID-AJPA7>3.0.CO;2-9)
    OpenUrlCrossRefMedlineWeb of Science
  10. ↵
    1. Stockman A.,
    2. Sharpe L. T.
    2006 Into the twilight zone: the complexities of mesopic vision and luminous efficiency. Ophth. Physiol. Optics 26, 225–239. doi:10.1111/j.1475-1313.2006.00325.x (doi:10.1111/j.1475-1313.2006.00325.x)
    OpenUrlCrossRefMedlineWeb of Science
  11. ↵
    1. Garamszegi L. Z.,
    2. Møller A. P.,
    3. Erritzøe J.
    2002 Coevolving avian eye size and brain size in relation to prey capture and nocturnality. Proc. R. Soc. Lond. B 269, 961–967. doi:10.1098/rspb.2002.1967 (doi:10.1098/rspb.2002.1967)
    OpenUrlAbstract/FREE Full Text
  12. ↵
    1. Leff A.
    2004 A historical review of the representation of the visual field in primary visual cortex with special reference to the neural mechanism underlying macular sparing. Brain Lang. 88, 268–278. doi:10.1016/S0093-934X(03)00161-5 (doi:10.1016/S0093-934X(03)00161-5)
    OpenUrlCrossRefMedlineWeb of Science
  13. ↵
    1. Andrews T. J.,
    2. Halpern S. D.,
    3. Purves D.
    1997 Correlated size variations in human visual cortex, lateral geniculate nucleus, and optic tract. J. Neurosci. 17, 2859–2868.
    OpenUrlAbstract/FREE Full Text
  14. ↵
    1. Felleman D. J.,
    2. Van Essen D. C.
    1991 Distributed hierarchical processing in the primate cerebral cortex. Cereb. Cortex 1, 1–47. doi:10.1093/cercor/1.1.1-a (doi:10.1093/cercor/1.1.1-a)
    OpenUrlAbstract/FREE Full Text
  15. ↵
    1. Van Essen D.,
    2. Anderson C.,
    3. Felleman D.
    1992 Information processing in the primate visual system: an integrated systems perspective. Science 255, 419–423. doi:10.1126/science.1734518 (doi:10.1126/science.1734518)
    OpenUrlAbstract/FREE Full Text
  16. ↵
    1. Dougherty R. F.,
    2. Koch V. M.,
    3. Brewer A. A.,
    4. Fischer B.,
    5. Modersitzki J.,
    6. Wandell B. A.
    2003 Visual field representations and locations of visual areas V1/2/3 in human visual cortex. J. Vis. 3, 586–598. doi:10.1167/3.10.1 (doi:10.1167/3.10.1)
    OpenUrlCrossRefMedlineWeb of Science
  17. ↵
    1. Zhong N.,
    2. Li K.,
    3. Lu S.,
    4. Chen L.,
    5. Yan T.,
    6. Jin F.,
    7. Wu J.
    2009 Correlated size variations measured in human visual cortex V1/V2/V3 with functional MRI. Brain Inform. 5819, 36–44. doi:10.1007/978-3-642-04954-5_14 (doi:10.1007/978-3-642-04954-5_14)
    OpenUrlCrossRef
  18. ↵
    1. Stevens C. F.
    2001 An evolutionary scaling law for the primate visual system and its basis in cortical function. Nature 411, 193–195. doi:10.1038/35075572 (doi:10.1038/35075572)
    OpenUrlCrossRefMedlineWeb of Science
  19. ↵
    1. von dem Hagen E. A. H.,
    2. Houston G. C.,
    3. Hoffmann M. B.,
    4. Jeffery G.,
    5. Morland A. B.
    2005 Retinal abnormalities in human albinism translate into a reduction of grey matter in the occipital cortex. Eur. J. Neurosci. 22, 2475–2480. doi:10.1111/j.1460-9568.2005.04433.x (doi:10.1111/j.1460-9568.2005.04433.x)
    OpenUrlCrossRefMedlineWeb of Science
  20. ↵
    1. Williams R.,
    2. Cavada C.,
    3. Reinoso-Suarez F.
    1993 Rapid evolution of the visual system: a cellular assay of the retina and dorsal lateral geniculate nucleus of the Spanish wildcat and the domestic cat. J. Neurosci. 13, 208–228.
    OpenUrlAbstract
  21. ↵
    1. Duncan R. O.,
    2. Boynton G. M.
    2003 Cortical magnification within human primary visual cortex correlates with acuity thresholds. Neuron 38, 659–671. doi:10.1016/S0896-6273(03)00265-4 (doi:10.1016/S0896-6273(03)00265-4)
    OpenUrlCrossRefMedlineWeb of Science
  22. ↵
    1. Agarwal S.,
    2. Agarwal A.,
    3. Apple D. J.,
    4. Buratto L.
    1. Nema H. V.,
    2. Singh V. P.,
    3. Nema N.
    2002 Anatomy of the orbit. In Textbook of ophthalmology (eds Agarwal S., Agarwal A., Apple D. J., Buratto L.), pp. 756–761. New Delhi, India: Jaypee Brothers Publishers.
  23. ↵
    1. Chen Z.,
    2. Zheng X. H.,
    3. Xie B. J.,
    4. Yuan J. J.,
    5. Yu H. H.,
    6. Li S. H.
    2006 Study of the growth of orbital volume in individuals at different ages by computed tomography. Zhonghua Yan Ke Za Zhi 42, 222–225.
    OpenUrlMedline
  24. ↵
    1. Radinsky L.
    1967 Relative brain size: a new measure. Science 155, 836–838. doi:10.1126/science.155.3764.836 (doi:10.1126/science.155.3764.836)
    OpenUrlAbstract/FREE Full Text
  25. ↵
    1. Gorissen P.
    2008 Google Maps Latitude, Longitude Popup. See http://www.gorissen.info/Pierre/maps/googleMapLocation.php?lat=51.618017&lon=2.48291&setLatLon=Set (accessed July 2008/July 2010).
  26. ↵
    1. Lammi J.
    1999 Photoperiod calculator. See http://www.ou.edu/research/electron/internet/solarjav.html (last modified January 1999, accessed July 2008).
  27. ↵
    Naval Oceanography Portal 2008 Sun or Moon altitude/azimuth table: locations worldwide. See http://www.usno.navy.mil/USNO/astronomical-applications/data-services/alt-az-world (accessed July 2008).
  28. ↵
    1. Seidelmann P. K. (ed.)
    1992 Explanatory supplement to the astronomical almanac. Mill Valley, CA: University Science Books.
  29. ↵
    Europa Technologies Google 2010 Googlemaps. See http://maps.google.co.uk/maps?hl=en&tab=wl (accessed July 2010).
  30. ↵
    Canty & Associates LLC. 2010 Weatherbase. See www.weatherbase.com (accessed November 2010).
  31. ↵
    1. Myers C. S.
    1902 The visual acuity of the natives of Sarawak. J. Physiol. 28, 316–318.
    OpenUrlMedline
  32. ↵
    1. Rivers W. H. R.
    1898 Vision. Reports of the Cambridge anthropological expedition to Torres straits. Cambridge, UK: Cambridge University Press.
  33. ↵
    1. Beals K. L.,
    2. Smith C. L.,
    3. Dodd S. M.
    1984 Brain size, cranial morphology, climate, and time machines. Curr. Anthropol. 25, 301–330. doi:10.1086/203138 (doi:10.1086/203138)
    OpenUrlCrossRefWeb of Science
View Abstract
Back to top
Share
Latitudinal variation in light levels drives human visual system size
Eiluned Pearce, Robin Dunbar
Biol. Lett. 2011 -; DOI: 10.1098/rsbl.2011.0570. Published 27 July 2011
Permalink: Copy
del.icio.us logo Digg logo Reddit logo Twitter logo CiteULike logo Connotea logo Facebook logo Google logo Mendeley logo
Email

Thank you for your interest in spreading the word on Biology Letters.

NOTE: We only request your email address so that the person you are recommending the page to knows that you wanted them to see it, and that it is not junk mail. We do not capture any email address.

Enter multiple addresses on separate lines or separate them with commas.
Latitudinal variation in light levels drives human visual system size
(Your Name) has sent you a message from Biology Letters
(Your Name) thought you would like to see the Biology Letters web site.
Print
Manage alerts

Please log in to add an alert for this article.

Sign In to Email Alerts with your Email Address
Citation tools

Latitudinal variation in light levels drives human visual system size

Eiluned Pearce, Robin Dunbar
Biol. Lett. 2011 -; DOI: 10.1098/rsbl.2011.0570. Published 27 July 2011

Citation Manager Formats

  • BibTeX
  • Bookends
  • EasyBib
  • EndNote (tagged)
  • EndNote 8 (xml)
  • Medlars
  • Mendeley
  • Papers
  • RefWorks Tagged
  • Ref Manager
  • RIS
  • Zotero
Download
Request Permissions

Article reuse

  • Article
    • Abstract
    • 1. Introduction
    • 2. Material and methods
    • 3. Results
    • 4. Discussion
    • Acknowledgements
    • References
  • Figures & Data
  • Info & Metrics
  • eLetters
  • PDF

See related subject areas:

  • cognition
  • evolution

Related articles

  • No related articles found
  • Web of Science
  • Scopus
  • PubMed
  • Google Scholar

Cited by

  • Urban-Rural Differences in Eye, Bill, and Skull Allometry in House Finches (Haemorhous mexicanus)
  • Nutrition shapes life-history evolution across species
  • Nocturnality in synapsids predates the origin of mammals by over 100 million years
  • Anthropogenic changes in sodium affect neural and muscle development in butterflies
  • Selection of Phototransduction Genes in Homo sapiens
  • New insights into differences in brain organization between Neanderthals and anatomically modern humans
  • Web of Science (14)
  • Scopus (17)
  • Google Scholar

Large datasets are available through Biology Letters' partnership with Dryad

Open biology

  • BIOLOGY LETTERS
    • About this journal
    • Contact information
    • Purchasing information
    • Submit
    • Author benefits
    • Open access membership
    • Recommend to your library
    • FAQ
    • Help

Royal society publishing

  • ROYAL SOCIETY PUBLISHING
    • Our journals
    • Open access
    • Publishing policies
    • Conferences
    • Podcasts
    • News
    • Blog
    • Manage your account
    • Terms & conditions
    • Cookies

The royal society

  • THE ROYAL SOCIETY
    • About us
    • Contact us
    • Fellows
    • Events
    • Grants, schemes & awards
    • Topics & policy
    • Collections
    • Venue hire
1744-957X

Copyright © 2016 The Royal Society