Abstract
The rate of growth of any population is a quantity of interest in conservation and management and is constrained by biological factors. In this study, recent data on life-history parameters influencing rates of population growth in humpback whales, including survival, age at first parturition and calving rate are reviewed. Monte Carlo simulations are used to compute a distribution of rates of increase (ROIs) taking into account uncertainty in biological parameter estimates. Two approaches for computing juvenile survival are proposed, which taken into account along with other life-history data, resulted in the following estimates of the rate of population growth: Approach A: mean of 7.3%/year (95% CI = 3.5–10.5%/year) and Approach B: mean of 8.6%/year (95% CI = 5.0–11.4%/year). It is proposed that the upper 99% quantile of the resulting distribution of the ROI for Approach B (11.8%/year) be established as the maximum plausible ROI for humpback whales and be used in population assessment of the species. Possible sources of positive and negative biases in the present estimates are presented and include measurement error in estimation of life-history parameters, changes in the environment within the period these quantities are measured, density dependence or other natural factors. However, it is difficult to evaluate potential biases without additional data. The methods presented in this study can be applied to other species for which life-history parameters are available and are useful in assessing plausibility in the estimation of population growth rates from time series of abundance estimates.
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Notes
SEs for calf survival in Approaches A and B were computed using the delta method assuming the 0–6 month and the 6–12 month survival probabilities to be independent.
References
Baker JD, Thompson PM (2006) Temporal and spatial variation in age-specific survival rates of a long-lived mammal, the Hawaiian monk seal. Proc R Soc London 274:407–415
Baker CS, Straley JM, Perry A (1992) Population characteristics of individually identified humpback whales in southeastern Alaska: summer and fall 1986. Fish Bull 90:429–437
Bannister JL, Hedley SL (2001) Southern hemisphere Group IV humpback whales: their status from recent aerial survey. Mem Quensl Mus 47(2):587–598
Barlow J (1991) The utility of demographic models in marine mammal management. Rep Int Whal Comm 41:573–577
Barlow J, Clapham PJ (1997) A new birth-interval approach to estimating demographic parameters of humpback whales. Ecology 78(2):535–546
Best PB (1993) Increase rates in severely depleted stocks of baleen whales. ICES J Mar Sci 50(2):169–186
Best PB (2006) A note on the age at sexual maturity of humpback whales. In: Paper SC/A06/HW5 presented at the IWC scientific committee workshop on the comprehensive assessment of Humpback Whales. Hobart, Tasmania, April 2006, p 6
Best PB, Brandao A, Butterworth DS (2001) Demographic parameters of southern right whales off South Africa. J Cetacean Res Manage (Special Issue) 2:161–169
Best PB, Brandão A, Butterworth DS (2005) Updated estimates of demographic parameters for southern right whales off South Africa. In: Paper SC/57/BRG2 presented to the IWC scientific committee. Ulsan, South Korea, May 2005, p 17
Bradford AL (2003) Population assessment of western North Pacific gray whales (Eschrichtius robustus). M.S. Thesis, University of Washington
Bradford AL, Wade PR, Weller DW, Burdin AM, Ivashchenko YV, Tsidulko GA, Vanblaricom GR, Brownell RL (2006) Survival estimates of western gray whales Eschrichtius robustus incorporating individual heterogeneity and temporary emigration. Mar Ecol Prog Ser 315:293–307
Branch TA (2010) Humpback whale abundance south of 60°S from three completed sets of IDCR/SOWER circumpolar surveys. J Cetacean Res Manage (Special Issue) (in press)
Branch TA, Matsuoka K, Miyashita T (2004) Evidence for increases in Antarctic blue whales based on Bayesian modeling. Mar Mamm Sci 20(4):726–754
Brandão A, Butterworth DS, Brown MR (2000) Maximum possible humpback whale increase rates as a function of biological parameter values. J Cetacean Res Manage 2(Suppl.):192–193
Buckland ST (1990) Estimation of survival rates from sightings of individually identifiable whales. Rep Int Whal Commn (Special Issue 12):149–153
Calambokidis J (2009) Abundance estimates of humpback and blue whales off the US West Coast based on mark-recapture of photo-identified individuals through 2008. Report # PSRG-2009-07 to Pacific Scientific Review Group, San Diego, CA, 3–5 November 2009
Calambokidis J, Falcone EA, Quinn TJ, Burdin AM, Clapham PJ, Ford JKB, Gabriele CM, LeDuc R, Mattila D, Rojas-Bracho L, Straley JM, Taylor BL, Urbán RJ, Weller D, Witteveen BD, Yamaguchi M, Bendlin A, Camacho D, Flynn K, Havron A, Huggins J, Maloney N, Barlow J, Wade PR (2008) SPLASH: structure of populations, levels of abundance and status of humpback whales in the north pacific. Final report for Contract AB133F-03-RP-00078 prepared by Cascadia Research for U.S. Dept of Commerce. May 2008
Caughley G (1966) Mortality patterns in mammals. Ecology 47:906–918
Chaloupka M, Osmond M, Kaufman G (1999) Estimating seasonal abundance trends and survival probabilities of humpback whales in Hervey Bay (east coast Australia). Mar Ecol Prog Ser 184:291–301
Chittleborough RG (1959) Determination of age in the humpback whale, Megaptera nodosa (Bonnaterre). Aus J Mar Fresh Res 10:125–143
Chittleborough RG (1965) Dynamics of two populations of the humpback whale, Megaptera novaeangliae (Borowski). Aus J Mar Fresh Res 16:33–128
Clapham PJ (1992) Age at attainment of sexual maturity in humpback whales, Megaptera novaeangliae. Can J Zool 70(7):1470–1472
Clapham PJ, Mayo CA (1987) Reproduction and recruitment of individually identified humpback whales, (Megaptera novaeangliae) observed in Massachusetts Bay, 1979–1985. Can J Zool 65:2853–2863
Clapham PJ, Mayo CA (1990) Reproduction of humpback whales (Megaptera novaeangliae) observed in the Gulf of Maine. Rep Int Whal Commn (Special Issue 12):171–175
Clapham PJ, Bérubé M, Mattila DK (1995) Sex ratio of the Gulf of Maine humpback whale population. Mar Mamm Sci 11(2):227–231
Clapham PJ, Young SB, Brownell JR (1999) Baleen whales: conservation issues and the status of the most endangered populations. Mamm Rev 29(1):35–60
Clapham P, Robbins J, Brown M, Wade P, Findlay K (2001) Appendix 5 A note on plausible rates of population growth in humpback whales. J Cetacean Res Manage 3(Suppl.):196–197
Clapham P, Barlow J, Bessinger M, Cole T, Mattila D, Pace R, Palka D, Robbins J, Seton R (2003) Abundance and demographic parameters of humpback whales from the Gulf of Maine, and stock definition relative to the Scotian Shelf. J Cetacean Res Manage 5(1):13–22
Cooke JG (1999) Improvement of fishery-management advice through simulation testing of harvest algorithms. ICES J Mar Sci 56:797–810
Cooke JG, Rowntree VJ, Payne R (2001) Estimates of demographic parameters for southern right whales (Eubalaena australis) observed off Península Valdés, Argentina. J Cetacean Res Manage (Special Issue 2):125–132
Eberhardt LL (1985) Assessing the dynamics of wild populations. J Wildl Manage 49(4):997–1012
Findlay KP (2001) A review of humpback whale catches by modern whaling operations in the Southern Hemisphere. Mem Quensl Mus 47(2):411–420
Findlay K, Meÿer M, Elwen S, Kotze D, Johnson RM, Truter P, Uamusse C, Sitoe S, Wilke C, Kerwath S, Swanson S, Steverees L, van der Westhuizen J (2004) Distribution and abundance of humpback whales, Megaptera novaeangliae, off the coast of Mozambique, 2003. In: Paper SC/56/SH12 presented to the IWC scientific committee. Sorrento, Italy, June 2004, p 39
Finnof D, Tschirhart J (2003) Harvesting in an eight-species ecosystem. J Environ Econ Manage 45:589–611
Freitas AC, Kinas PG, Martins CCA, Engel MH (2004) Abundance of humpback whales on the Abrolhos Bank wintering ground, Brazil. J Cetacean Res Manage 6(3):225–230
Friday N (2000) Adjunct 1—summary of relevant papers, by area/population. J Cetacean Res Manage 2(Suppl.):203–205
Gabriele CM, Straley JM, Mizroch SA, Baker CS, Craig AS, Herman LM, Glockner-Ferrari D, Ferrari MJ, Cerchio S, von Ziegesar O, Darling J, McSweeney D, Quinn TJ II, Jacobsen JK (2001) Estimating the mortality rate of humpback whale calves in the central North Pacific Ocean. Can J Zool 79(4):589–600
Gabriele CM, Straley JM, Neilson JL (2007) Age at first calving of female humpback whales in Southeastern Alaska. Mar Mamm Sci 23(1):226–239
Glockner-Ferrari DA, Ferrari MJ (1990) Reproduction in the humpback whale (Megaptera novaeangliae) in Hawaiian waters, 1975–1988: the life history, reproductive rates and behavior of known individuals identified through surface and underwater photography. Rep Int Whal Commn (Special Issue 12):161–168
Hilborn R, Mangel M (1997) The ecological detective. Confronting models with data. Monograph in population biology 28, 317 pp
International Whaling Commission (2005) Annex H—report of the sub-committee on Other Southern Hemisphere Whale Stocks. J Cetacean Res Manage 7(Suppl):235–246
International Whaling Commission (2007) Annex H—report of the sub-committee on Other Southern Hemisphere Whale Stocks. J Cetacean Res Manage 9(Suppl):188–209
International Whaling Commission (2008) Annex H—report of the sub-committee on Other Southern Hemisphere Whale Stocks. J Cetacean Res Manage 10(Suppl):207–224
Jackson J, Zerbini A, Clapham P, Constantine R, Garrigue C, Hauser N, Poole M, Baker CS (2008) Progress on a two-stock catch allocation model for reconstructing population histories of east Australia and Oceania. In: Paper SC/60/SH14 presented to the IWC scientific committee. Santiago, Chile, June 2008
Johnston SJ, Butterworth DS (2005) A Bayesian assessment of the west and east Australian breeding populations (stocs D and E) of Southern Hemisphere humpback whales. In: Paper SC/57/SH17 presented to the IWC scientific committee. May 2005, Ulsan, South Korea (available from secretariat@iwcoffice.org)
Johnston S, Zerbini AN, Butterworth DS (2010) A Bayesian approach to assess the status of Southern Hemisphere humpback whales (Megaptera novaengliae) with an application to breeding stock G. J Cetacean Res Manage (Special Issue) (in press)
Kraus C, Thomson DL, Kunkele J, Trillmich F (2005) Living slow and dying young? Life history strategy and age-specific survival rates in a precocial small mammal. J Anim Ecol 74(1):171–180
Larsen F, Hammond PS (2004) Distribution and abundance of West Greenland humpback whales (Megaptera novaeangliae). J Zool 263(4):343–358
Leaper R, Peel S, Peel D, Gales N (2010) Exploring the assumption of multi-stock assessment models for humpback whales (Megaptera novaeangliae) in the Southern Hemisphere: using breeding stocks D and E as an example. J. Cetacean Res. Manage (Special Issue 3) (in press)
Mace GM, Lande R (1991) Assessing extinction threats: toward a reevaluation of IUCN threatened species categories. Cons Biol 5:148–157
Matsuoka K, Hakamada T, Nishiwaki S (2004) Current abundance estimates of humpback and fin whales in the Antarctic Areas IIIE, IV, V and VIW (35 deg E–145 deg W). In: Paper SC/56/SH11 presented to the IWC scientific committee. Sorrento, Italy, June 2004, p 33
Mizroch SA, Herman LM, Straley JM, Glockner-Ferrari D, Jurasz C, Darling J, Cerchio S, Gabriele CM, Salden DR, von Ziegesar O (2004) Estimating the adult survival rate of central North Pacific humpback whales (Megaptera novaeangliae). J Mammal 85(5):963–972
Mori M, Butterworth DS (2006) A first step towards modeling the krill-predator dynamics of the Antarctic Ecosystem. CCAMLR Sci 13:217–277
Nishiwaki M (1959) Humpback whales in Ryukyuan waters. Sci Rep Whales Res Inst 14:49–87
Noad MJ, Dunlop RA, Paton D, Cato DH (2008) An update of the east Australian humpback whale population (E1) rate of increase. In: Paper SC/60/SH31 presented to the IWC scientific committee. Santiago, Chile, June 2008, p 13
Paterson R, Paterson P, Cato DH (2001) Status of humpback whales, Megaptera novaeangliae, in east Australia at the end of the 20th century. Mem Queensl Mus 47:579–586
Punt AE, Donovan GP (2007) Developing management procedures that are robust to uncertainty: lessons from the International Whaling Commission. ICES J Mar Sci 64:603–612
Punt AE, Friday NA, Smith TD (2006) Reconciling data on the trends and abundance of North Atlantic humpback whales within a population modelling framework. J Cetacean Res Manage 8(2):145–159
Robbins J (2007) Structure and dynamics of the Gulf of Maine humpback whale population. PhD Dissertation, University of St 1Andrews
Rosenbaum HC, Weinrich MT, Stoleson SA, Gibbs JP, Baker CS, DeSalle R (2002) The effect of differential reproductive success on population genetic structure: correlations of life history with matrilines in humpback whales of the Gulf of Maine. J Hered 93(6):389–399
Sigurjonsson J, Gunnlaugsson T (1990) Recent trends in abundance of blue (Balaenoptera musculus) and humpback whales (Megaptera novaeangliae) off west and southwest Iceland, with a note on occurrence of other cetacean species. Rep Int Whal Commn 40:537–551
Skalski JR, Ryding KE, Millspaugh J (2005) Wildlife demography: analysis of sex, age and count data. Elsevier Academic Press, 656 pp
Skalski JR, Millspaugh JJ, Ryding KE (2008) Effects of asymptotic and maximum age estimates on calculated rates of population change. Ecol Modell 212:528–535
Steiger GH, Calambokidis J (2000) Reproductive rates of humpback whales off California. Mar Mamm Sci 16(1):220–239
Stevick PT, Allen J, Clapham PJ, Friday N, Katona SK, Larsen F, Lien J, Mattila DK, Palsboll PJ, Sigurjonsson J, Smith TD, Oien N, Hammond PS (2003) North Atlantic humpback whale abundance and rate of increase four decades after protection from whaling. Mar Ecol Prog Ser 258:263–273
Wade PR (1998) Calculating limits to the allowable human-caused mortality of cetaceans and pinnipeds. Mar Mamm Sci 14:1–37
Ward E, Zerbini AN, Kinas PG, Engel MH, Andriolo A (2010) Estimates of population growth rates of humpback whales (Megaptera novaeangliae) in the wintering grounds off the coast of Brazil (Breeding Stock A). J Cetacean Res Manage (Special Issue) (in press)
Wells RS, Scott MD (1990) Estimating bottlenose dolphin population parameters from individual identification and capture-release techniques. Rep int Whal Commn (Special Issue 12):407–415
Williamson G (1975) Minke whales off Brazil. Sci Rep Whales Res Inst 27:37–59
Zeh J, Poole D, Miller G, Koski W, Baraff L, Rugh D (2002) Survival of bowhead whales, Balaena mysticetus, estimated from 1981–1998 photoidentification data. Biometrics 58(4):832–840
Zerbini AN, Waite JM, Laake JL, Wade PR (2006) Abundance, trends and distribution of baleen whales off western Alaska and the central Aleutian Islands. Deep Sea Res I 53(11):1772–1790
Zerbini AN, Ward E, Kinas PG, Engel ME, Andriolo A (2010) A Bayesian assessment of the conservation status of Humpback Whales (Megaptera novaeangliae) in the Western South Atlantic Ocean. J Cetacean Res Manage (Special Issue) (in press)
Acknowledgments
We thank Jooke Robbins and Jan Straley for information on life-history parameters from humpback whale populations in the Gulf of Maine and Southeast Alaska, respectively. Early drafts of this manuscript were reviewed by Amanda Bradford, Trevor Branch, Nancy Friday, Jeff Laake, and Jooke Robbins. Funding for this study was provided to ANZ by the National Research Council (NRC), National Academy of Sciences (NAS). The comments and suggestions provided by two anonymous reviewers greatly improved the contents of the manuscript.
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Communicated by R. Lewison.
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Zerbini, A.N., Clapham, P.J. & Wade, P.R. Assessing plausible rates of population growth in humpback whales from life-history data. Mar Biol 157, 1225–1236 (2010). https://doi.org/10.1007/s00227-010-1403-y
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DOI: https://doi.org/10.1007/s00227-010-1403-y