Body Size Al­lom­e­try and the Pol­i­tics of Prokary­otes

by Tracey Mc­Dole Somera

When watch­ing a hum­ming­bird in flight, haven't you felt cu­ri­ous about how en­ergy use re­lates to body size? Or think­ing of a baleen whale sift­ing through krill, did you pon­der the re­la­tion­ship be­tween the size of an an­i­mal species and its lo­cal abun­dance? Maybe you've heard the near su­per­sonic heart­beat of a de­vel­op­ing fe­tus, which I got to hear when I was car­ry­ing my child, and won­dered about the num­ber of heart­beats in a life­time. If so, you're not alone. But don't wear your­self out won­der­ing, most of these things have al­ready been mea­sured thanks to al­lom­e­try, the study of how or­gan­is­mal at­trib­utes scale in re­la­tion to each an­other. These types of re­la­tion­ships are of­ten ex­pressed as a power law (i.e. one mea­sured quan­tity varies as a power of an­other). For ex­am­ple, an­i­mal size and lo­cal abun­dance vary pre­dictably (and in­versely) with each other, a scal­ing re­la­tion­ship known as Damuth's law. No need to hud­dle over the hum­ming­bird ques­tion ei­ther. In most an­i­mals, meta­bolic rate scales as M0.75 (read: body mass to the ¾ power) (Kleiber, 1932 and 1947; Brown, 2005).  More re­cently, the al­lo­met­ric ap­proach was ap­plied to the re­la­tion­ship be­tween an­i­mal size and prokary­otic abun­dance. The data set in­cluded a to­tal of 32 species of or­gan­isms span­ning 12 or­ders of mag­ni­tude in an­i­mal mass (Kieft and Sim­mons, 2015). Roughly speak­ing, the num­ber of mi­crobes as­so­ci­ated with an in­di­vid­ual ter­res­trial or aquatic an­i­mal scales iso­met­ri­cally with body mass wet weight in grams (M1.07). This means that if body mass in­creases by a fac­tor of two, so does mi­cro­bial abun­dance, more or less.

Fig­ure 1. One of the old­est and most fa­mous al­lo­met­ric re­la­tion­ships: the re­la­tion­ship be­tween meta­bolic rate and body mass orig­i­nally pub­lished by Max Kleiber in 1947 Source

In most an­i­mals, the bulk of mi­cro­bial sym­bionts live in the gut and fer­men­ta­tive or­gans where they can di­gest com­plex or­ganic sub­strates, com­pete against pathogens, and even serve as prey. At 107−1012 mi­crobes per gram of di­gesta, gut bac­te­ria make up the bulk of mi­cro­bial sym­bionts in most an­i­mals. For over half of the an­i­mals in this study (in­clud­ing the largest an­i­mals), it was as­sumed that mi­cro­bial counts per in­di­vid­ual roughly equate to the mi­cro­bial abun­dance just in the gut or­gans. For 3 species, mi­cro­bial counts from other organs/tissues were used: spon­go­coel in sponges, tropho­some in deep sea hy­drother­mal vent worms, and epi­der­mal and en­do­der­mal ep­ithe­lia in Hy­dra. For the re­main­ing species which in­cluded many in­sects, the mi­cro­bial abun­dance pub­lished was based on mi­cro­scopic counts per whole an­i­mal.

Fig­ure 2. (Left) Ben­e­fi­cial mi­crobes col­o­niz­ing the sur­face of the mouse colon. Yel­low cells are Es­cherichia coli; red cells are Bac­teroides frag­ilis. In­testi­nal tis­sues are la­beled in green with blue nu­clei. Source. (Right) Ni­tro­gen-fix­ing en­dosym­bi­otic spiro­chete bac­te­ria iso­lated from the gut of a ter­mite. Source

Gen­er­at­ing a con­sis­tent data set span­ning many or­ders of mag­ni­tude in body mass is the more te­dious side of al­lom­e­try. The fun is try­ing to in­ter­pret the scal­ing re­la­tion­ship be­tween the two mea­sured quan­ti­ties; the value of the ex­po­nent of­ten pro­vides clues to the un­der­ly­ing mech­a­nisms con­trol­ling the scal­ing. Based on this data set, it's no big sur­prise that the scal­ing of mi­cro­bial abun­dance with body size was found to be con­sis­tent with the pre­vi­ously pub­lished scal­ing re­la­tion­ship for to­tal gut vol­ume to an­i­mal body mass (M1.0−1.08). This sug­gests that the num­ber of mi­crobes liv­ing in as­so­ci­a­tion with an an­i­mal is lim­ited by the to­tal gut vol­ume. It also raises ques­tions of whether in­clud­ing the mi­cro­bial flora liv­ing on the skin and mouth would sig­nif­i­cantly af­fect the value of the scal­ing ex­po­nent and whether or not sim­i­lar scal­ing re­la­tion­ships ex­ist at dif­fer­ent body sites.

Figure

As you can see, once the al­lo­met­ric gears start crank­ing, they're hard to stop. Let the extrapola­tions be­gin! Plot­ting the data lin­early pro­vides a guessti­mate for the num­ber of mi­crobes per gram of an­i­mal tis­sue; 1 gram of ground-up hu­man slurry = 1 gram of hy­dra slurry = 3.4 x 109 mi­crobes. Wow! Based on this num­ber, the to­tal an­i­mal-as­so­ci­ated prokary­otic abun­dance in the bios­phere comes to 2.1−2.3 x 1025 cells, or about 0.001% of earth's to­tal in­ven­tory of 1030 prokary­otes. A com­par­i­son would be the hu­man pop­u­la­tion of Wash­ing­ton state (7,000,000) rel­a­tive to that of the world (7.3 bil­lion). Given the an­i­mals' roles as con­sumers in the food web and the gen­er­ally ac­cepted rule that only 10% of the avail­able chem­i­cal en­ergy in food is con­verted into new bio­mass, this low per­cent­age is not sur­pris­ing (Lin­de­man, 1942; Slo­bod­kin, 1962). What is sur­pris­ing is that such a tiny mi­nor­ity could be so vi­tally im­por­tant to an­i­mal well-be­ing and, by ex­ten­sion to the func­tion­ing of the bios­phere. If these prokary­otes had a po­lit­i­cal slo­gan it would be: "Oc­cupy the an­i­mals, we are the 0.001%!" An­other sur­prise was the find­ing do­mes­tic an­i­mals har­bor up to 20% of the global share of an­i­mal-as­so­ci­ated mi­crobes. I'm sure re­duc­ing an­tibi­otic dos­ing on farms would be a top pri­or­ity for the an­i­mal-as­so­ci­ated mi­cro­bial mi­nor­ity. On the other hand, it's been es­ti­mated that hu­man-as­so­ci­ated mi­crobes are 10X more abun­dant than hu­man cells (Hat­tori, 2009). Thus, an an­i­mal-as­so­ci­ated mi­crobe can only claim mi­nor­ity sta­tus rel­a­tive to the to­tal num­ber of prokary­otes on the planet.

Fi­nally, Kieft and Sim­mons looked at the re­la­tion­ship be­tween an­i­mal mass and the di­ver­sity of the mi­crobes as­so­ci­ated with the gas­troin­testi­nal tracts of 60 dif­fer­ent species of mam­mals. They used MG-RAST, a data­base of pub­li­cally avail­able metagenomes, hy­poth­e­siz­ing that larger an­i­mals may har­bor a greater di­ver­sity by pro­vid­ing a larger habi­tat. They found no re­la­tion­ship be­tween an­i­mal body mass and the di­ver­sity of an­i­mal-as­so­ci­ated mi­crobes. How­ever, the fi­nal ver­dict on the value of the scal­ing ex­po­nent is still pend­ing be­cause of the more te­dious side of al­lom­e­try (i.e. the need to gen­er­ate a dataset with repli­cate metagenomes and more con­sis­tent se­quenc­ing cov­er­age). It may be that the fat cats aren't nec­es­sar­ily richer than the la­bor­ing ants – hu­man or in­sect – in terms of mi­cro­bial di­ver­sity. Ei­ther way, equal dis­tri­b­u­tion of mi­cro­bial wealth in terms of abun­dance per gram of an­i­mal tis­sue is quite as­tound­ing. Yet an­other ex­am­ple of how hu­mans are no dif­fer­ent from the other an­i­mals on the planet. Now there's some­thing worth pon­der­ing!

 

Ref­er­ences

Damuth J. 1981. Pop­u­la­tion den­sity and body size in mam­mals. Na­ture 290, 699–700. doi 10.1038/290699a0

Kieft TL, Sim­mons KA. 2015. Al­lom­e­try of an­i­mal-mi­crobe in­ter­ac­tions and global cen­sus of an­i­mal-as­so­ci­ated mi­crobes. Proc Biol Sci 282(1810). doi 10.1098/rspb.2015.0702.

Kleiber M. 1932. Body size and me­tab­o­lism. Hil­gar­dia 6(11), 315–353. doi 10.3733/hilg.v06n11p315

Kleiber M. 1947. Body size and meta­bolic rate. Phys­iol Rev 27(4), 511–541. PMID 20267758

Brown, J et al. 2004. To­ward a meta­bolic the­ory of ecol­ogy. Ecol­ogy 85(7), 1771–1789 doi 10.1890/03–9000

Lin­de­man, RL 1942. The trophic-dy­namic as­pect of ecol­ogy. Ecol­ogy 23, 399–418. doi 10.2307/1930126

Slo­bod­kin LB. 1962. En­ergy in an­i­mal ecol­ogy. Adv Ecol Res 1, 69–101

Hat­tori M, Tay­lor TD. 2009 The Hu­man In­testi­nal Mi­cro­biome: A New Fron­tier of Hu­man Bi­ol­ogy. DNA Res 16(1), 1–12 link

 

Tracey McDole Somera

Tracey is a post doc in the lab of Dr. Paul Jensen, Scripps In­sti­tu­tion of Oceanog­ra­phy, UCSD.

 

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