Journal of Comparative Physiology B

, Volume 188, Issue 4, pp 591–598 | Cite as

Mass scaling of the resting and maximum metabolic rates of the black carp

  • Xiao Lv
  • Hang Xie
  • Danyang Xia
  • Cong Shen
  • Jian Li
  • Yiping Luo
Original Paper


We investigated the body mass (M) scaling of resting metabolic rate (RMR), maximum metabolic rate (MMR), excess post-exercise oxygen consumption (EPOC), blood parameters, and organ masses of black carp (Mylopharyngoden piceus). The results showed that RMR scaled with M of the fish by an exponent (b) of 0.833 (bR), which was significantly larger than 0.75. MMR scaled with M by a power of 0.775 (bM), which was significantly lower than 1 and may be due to a small size proportion of red muscle. No difference between bR and bM or correlation between factorial aerobic scope and M was found. However, EPOC scaled positively with M by a power of 1.231, suggesting a constant aerobic capacity and an enhanced anaerobic capacity with fish growth. Mass of the inactive organs scaled with M by a power of 1.005, which was significantly larger than 1 and was negatively correlated with RMR, suggesting that the proportion of inactive organs increases with fish growth, which may contribute to the negative scaling of RMR. Red blood cell surface area (S) did not increase with increasing M, suggesting that the ontogenetic decrease in the surface area to volume ratio of cells may not contribute to the negative scaling of RMR. The predicted bR value (0.846) by the average S (1.746 µm²) differs by only 1.62% from the observed bR value using our previously reported S − bR function in carp, suggesting that the species-specific cell size, rather than its ontogenetic change, affects the metabolic scaling of a species.


Oxygen consumption Allometry Body size Metabolic level Surface area 



Body mass


Metabolic rate


Resting metabolic rate


Maximum metabolic rate


Factorial aerobic scope


Excess post-exercise oxygen consumption


Scaling exponent


Scaling exponent of RMR


Scaling exponent of MMR


Oxygen consumption rate


Hemoglobin concentration


Red blood cell count


Red blood cell surface area

MActive organs

Total mass of active organs

MInactive organs

Total mass of inactive organs



This work was supported by the National Natural Science Foundation of China (no. 31672287) and the Start-up Research Grant from Qinzhou University (no. 2017KYQD107). We thank Mr. Bo Zhang for his help in fish collection and thank the anonymous reviewers for their comments on the manuscript.

Supplementary material

360_2018_1154_MOESM1_ESM.xls (22 kb)
Supplementary material 1 ESM_1. Datasets generated and analyzed in this study (XLS 21 KB)
360_2018_1154_MOESM2_ESM.doc (26 kb)
Supplementary material 2 ESM_2. Relationship between the body mass (M, g) and factorial aerobic scope (FAS) (DOC 26 KB)
360_2018_1154_MOESM3_ESM.doc (33 kb)
Supplementary material 3 ESM_3. Relationship between the body mass (M, g) and several hematological parameters in the black carp. A: red blood cell surface area, S (μm2); B: red blood cell count, RBCC (109 mL-1); C: hematological concentration, Hb (mg mL-1) (DOC 33 KB)
360_2018_1154_MOESM4_ESM.doc (26 kb)
Supplementary material 4 (DOC 25 KB)


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Key Laboratory of Freshwater Fish Reproduction and Development, Ministry of Education, School of Life SciencesSouthwest UniversityChongqingChina
  2. 2.Luzhou Agricultural BureauNational Nature Reserve of Rare and Endemic Fish in the Upper Yangtze River for Luzhou WorkstationLuzhouChina
  3. 3.Guangxi Key Laboratory of Beibu Gulf Marine Biodiversity Conservation, Ocean CollegeQinzhou UniversityQinzhouChina

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