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Statistical power: an important consideration in designing community-based monitoring programs for Arctic and sub-Arctic subsistence fisheries

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Abstract

Polar communities and management agencies require well-designed monitoring systems to determine whether harvesting is biologically sustainable. While it is known that life history traits such as length-at-age and fecundity will vary with population density, cost-efficient monitoring requires that these metrics be incorporated into monitoring programs only if their statistical power is high to detect change due to fishing. We present a simple computer-simulated power analysis technique to compare the ability of monitoring designs to detect changes in fish length-at-age and fecundity, after adding effects of exploitation. We developed a methodology for estimating statistical power from first principles using computer simulation techniques which can be applied regardless of the statistical variance pattern in the data. Statistical power increased when more fish were sampled and when larger effects were added. Initially, power increased rapidly by increasing the sample size, regardless of the effect added. However, after 40–50 fish were included in the sample, smaller increments of increased power were obtained; highlighting that a cost-benefit analysis would be necessary. When compared to exploitation experiments in the literature, the stock-specific power analysis used here was able to correctly predict the outcome (significant change observed or not) of the literature studies in most cases. This technique advances the ability of designers of monitoring programs to assess the efficiency of any type of monitoring metric. Further, the simplicity of this power analysis technique allows it to be tailored to different species, life history traits, or potential disturbances to the population.

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References

  • Al-Chokhachy R, Budy P, Conner M (2009) Detecting declines in the abundance of a bull trout (Salvelinus confluentus) population: understanding the accuracy, precision, and costs of our efforts. Can J Fish Aquat Sci 66:649–658

    Article  Google Scholar 

  • Amundsen PA (1988) Effects of an intensive fishing program on age structure, growth, and parasite infection of stunted whitefish (Coregonus lavaretus L. s.l.) in Lake Stuorajavri, northern Norway. Finn Fish Res 9:425–434

    Google Scholar 

  • Baccante DA, Reid DM (1988) Fecundity changes in two exploited walleye populations. N Am J Fish Manage 8:199–209

    Article  Google Scholar 

  • Bell G, Handford P, Dietz C (1977) Dynamics of an exploited population of lake whitefish (Coregonus clupeaformis). J Fish Res Board Can 34:942–953

    Article  Google Scholar 

  • Bernstein BB, Zalinski J (1983) An optimum sampling design and power tests for environmental biologists. J Environ Manage 16:35–43

    Google Scholar 

  • Beverton RJH, Holt SJ (1957) On the dynamics of exploited fish populations. Fishery investigations series II volume XIX. Blackburn Press, London

    Google Scholar 

  • Bond WA (1982) A study of the fishery resources of Tuktoyaktuk Harbour, southern Beaufort Sea coast, with special reference to life histories of anadromous coregonids. Can Tech Rep Fish Aquat Sci 1119:90

  • Bond WA, Erickson RN (1985) Life history studies of anadromous coregonid fishes in two freshwater lake systems on the Tuktoyaktuk Peninsula, Northwest Territories. Can Tech Rep Fish Aquat Sci 1336:61

  • Bond WA, Erickson RN (1987) Fishery data from Phillips Bay, Yukon, 1985. Can Data Rep Fish Aquat Sci 635:39

  • Bond WA, Erickson RN (1992) Anadromous coregonids of a Canadian Arctic estuary. Pol Arch Hydrobiol 39:431–441

    Google Scholar 

  • Borisov VM (1978) The selective effect of fishing on the population structure of species with a long life cycle. J Ichthyol 18:896–904

    Google Scholar 

  • Chevalier JR (1977) Changes in walleye (Stizostedion vitreum) population in Rainy Lake and factors in abundance, 1924-75. J Fish Res Board Can 34:1696–1702

    Article  Google Scholar 

  • Chilton DE, Beamish RJ (1982) Aging techniques for the North American ground fishery. Can Spec Publ Fish Aquat Sci 60:1–15

    Google Scholar 

  • Dauwalter DC, Frank J, Rahel FJ, Kenneth GG (2009) Temporal variation in trout populations: implications for monitoring and trend detection. Trans Am Fish Soc 138:38–51

    Article  Google Scholar 

  • de la Mare WK (1984) On the power of catch per unit effort series to detect declines in whale stocks. Rep IWC 34

  • Dupuis AW, Sutton TM (2011) Reproductive biology of female humpback whitefish Coregonus pidschian in the Chatanika River, Alaska. J Appl Ichthyol 27:1365–1370

    Article  Google Scholar 

  • Friedland KD, Ama-Abasi D, Manning M, Clarke L, Kligys G, Chambers RC (2005) Automated egg counting and sizing from scanned images: rapid sample processing and large data volumes for fecundity estimates. J Sea Res 54:307–316

    Article  Google Scholar 

  • Gadgil M, Bossert WH (1970) Life history consequences of natural selection. Am Nat 104:1–24

    Article  Google Scholar 

  • Green RH (1989) Power analysis and practical strategies for environmental monitoring. Environ Res 50:195–205

    Article  PubMed  CAS  Google Scholar 

  • Griffiths WB, Gallaway BJ, Gazey WJ, Dillinger RE Jr (1992) Growth and condition of arctic cisco and broad whitefish as indicators of causeway-induced effects in the Prudhoe Bay region, Alaska. Trans Am Fish Soc 121:557–577

    Article  Google Scholar 

  • Gyselman EC (1997) Effects of exploitation on fish populations. In: Tallman RF, Reist JD (eds) The proceedings of the broad whitefish workshop: the biology, traditional knowledge and scientific management of broad whitefish (Coregonus nasus (Pallas)) in the Lower Mackenzie River. Can Tec Rep Fish Aquat Sci 2193, pp 155-166

  • Handford PG, Bell G, Reimchen T (1977) A gillnet fishery considered as an experiment in artificial selection. J Fish Res Board Can 34:954–961

    Article  Google Scholar 

  • Healey MC (1975) Dynamics of exploited whitefish populations and their management with special reference to the Northwest Territories. J Fish Res Board Can 32:427–448

    Article  Google Scholar 

  • Healey MC (1978) Fecundity changes in exploited populations of lake whitefish (Coregonus clupeaformis) and lake trout (Salvelinus namycush). J Fish Res Board Can 35:945–950

    Article  Google Scholar 

  • Healey HC (1980) Growth and recruitment in experimentally exploited lake whitefish (Coregonus clupeaformis) populations. Can J Fish Aquat Sci 37:255–267

    Article  Google Scholar 

  • Healey MC, Heard WR (1984) Inter- and intra-population variation in the fecundity of chinook salmon (Oncorhynchus tshawyscha) and its relevance to life history theory. Can J Fish Aquat Sci 41:476–483

    Article  Google Scholar 

  • Hinrichsen RA (2003) The power of experiments for estimating relative reproductive success of hatchery-born spawners. Can J Fish Aquat Sci 60:864–872

    Article  Google Scholar 

  • Hocutt CH, Stauffer JR Jr (1980) Biological Monitoring of Fish. Lexington Books, Toronto

    Google Scholar 

  • Hutchings JA, Fraser DJ (2008) The nature of fisheries- and farming-induced evolution. Mol Ecol 17:294–313

    Article  PubMed  Google Scholar 

  • Jennings S, Reynolds JD, Mills SC (1998) Life history correlates of responses to fisheries exploitation. Proc R Soc B 265:333–339

    Article  PubMed Central  Google Scholar 

  • Klibansky N, Juanes F (2008) Procedures for efficiently producing high-quality fecundity data on a small budget. Fish Res 89:84–89

    Article  Google Scholar 

  • Knutsen CJ, Ward DL (1999) Biological characteristics of Northern Pikeminnow in the Lower Columbia and Snake Rivers before and after sustained exploitation. Trans Am Fish Soc 128:1008–1019

    Article  Google Scholar 

  • Koslow JA (1992) Fecundity and the stock-recruitment relationship. Can J Fish Aquat Sci 49:210–217

    Article  Google Scholar 

  • Lambert Y (2008) Why Should We Closely Monitor Fecundity in Marine Fish Populations? J Northwest Atl Fish Soc 41:93–106

    Article  Google Scholar 

  • Law R (2007) Fisheries-induced evolution: present status and future directions. Mar Ecol Prog Ser 335:271–277

    Article  Google Scholar 

  • Lenth V (2001) Some practical guidelines for effective sample size determination. The Am Stat 55:187–193

    Article  Google Scholar 

  • Lockwood SF, Seavey BT, Dillinger RE Jr, Bickham JW (1991) Variation in DNA content among age classes of broad whitefish (Coregonus nasus) from the Sagavanirktok River Delta. Can J Zool 69:1335–1338

    Article  Google Scholar 

  • Lorenzen K, Enberg K (2002) Density-dependent growth as a key mechanism in the regulation of fish populations: evidence from among-population comparisons. Proc R Soc B 269:49–54

    Article  PubMed  PubMed Central  Google Scholar 

  • Lowerre-Barbieri SK, Brown-Peterson NJ, Murua H, Tomkiewicz J, Wyanski DM, Saborido-Rey F(2011) Emerging issues and methodological advances in fisheries reproductive biology. Mar Coast Fish 3:32–51

  • Mackinson S, Sumaila UR, Pitcher TJ (1997) Bioeconomics and catchability: fish and fisheries behaviour during stock collapse. Fish Res 31:11–17

    Article  Google Scholar 

  • McAllister MK, Peterman RM (1992) Experimental design in the management of fisheries: a review. North Am J Fish Manage 12:1–18

    Article  Google Scholar 

  • McAllister MK, Peterman RM, Gillis DM (1992) Statistical evaluation of a large-scale fishing experiment designed to test for a genetic effect of size-selective fishing on British Columbia pink salmon (Oncorhynchus gorbuscha). Can J Fish Aquat Sci 49:1294–1304

    Article  Google Scholar 

  • McClave JT, Dietrich FH II (1994) Statistics, 6th ed. Macmillan College Publishing Company, Inc., New York

    Google Scholar 

  • Pérez Lapena B, Wijnberg KM, Stein A, Hulscher SJMH (2011) Spatial factors affecting statistical power in testing marine fauna displacement. Ecol Applic 21:2756–2769

    Article  Google Scholar 

  • Peterman RM (1989) Application of statistical power analysis to the Oregon coho salmon (Oncorhynchus kisutch) problem. Can J Fish Aquat Sci 46:1183–1187

    Article  Google Scholar 

  • Peterman RM (1990) Statistical power analysis can improve fisheries research and management. Can J Fish Aquat Sci 47:2–15

    Article  Google Scholar 

  • Prasolov PP (1989) On the biology of the broad whitefish, Coregonus nasus, from the Lower Ob River Basin. J Ichthyol 29:47–53

    Google Scholar 

  • Quinn G, Keough M (2002) Experimental Design and Data Analysis for Biologists. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Reznick DN, Ghalambor CK (2005) Can commercial fishing cause evolution? Answers from guppies (Poecilia reticulate). Can J Fish Aquat Sci 62:791–801

    Article  Google Scholar 

  • Reznick DA, Bryga H, Endler JA (1990) Experimentally induced life history evolution in a natural population. Nature 346:357–359

    Article  Google Scholar 

  • Ricker WE (1975) Computation and interpretation of biological statistics of fish populations. Can Spec Publ Fish Aquat Sci 382

  • Roff DA (2002) Life History Evolution. Sinauer Associates, Sunderland

    Google Scholar 

  • Sharpe DMT, Hendry AP (2009) Life history change in commercially exploited fish stocks: an analysis of trends across studies. Evol Applic 2:260–275

    Article  Google Scholar 

  • Silliman RP, Gutsell JS, Dunbar CE, Friddle SB (1958) Experimental exploitation of fish populations. Fish Bull 133:213–252

    Google Scholar 

  • Skalski JR, McKenzie DH (1982) A design for aquatic monitoring programs. J Environ Manage 14:237–251

    Google Scholar 

  • Snyder RJ, Dingle H (1989) Adaptive. genetically based differences in life history between estuary and freshwater threespine sticklebacks (Gasterosteus aculeatus L.). Can J Zool 67:2448–2454

    Google Scholar 

  • Stearns SC (1992) The evolution of life histories. Oxford University Press, Oxford

    Google Scholar 

  • Swain DP, Sinclair AF (1994) Fish distribution and catchability: what is the appropriate measure of distribution? Can J Fish Aquat Sci 51:1046–1054

    Article  Google Scholar 

  • Swain DP, Sinclair AF, Hanson JM (2007) Evolutionary response to size-selective mortality in an exploited fish population. Proc R Soc B 274:1015–1022

    Article  PubMed  PubMed Central  Google Scholar 

  • Tallman RF (1997) Methods for estimating stock size: appropriateness for Mackenzie River fisheries. In Tallman RF, Reist JD (eds) The proceedings of the broad whitefish workshop: the biology, traditional knowledge and scientific management of broad whitefish (Coregonus nasus (Pallas)) in the Lower Mackenzie River. Can Tech Rep Fish Aquat Sci 2193, pp 97-106

  • Tallman RF, VanGerwen-Toyne M, Harris L, Gallagher C, Carmichael T, Howland K, Zhu X (2012) Stock assessment of anadromous charrs (genus Salvelinus) in the central and arctic region. Can Manuscr Rep Fish Aquat Sci 3007

  • Toft CA, Shea PJ (1983) Detecting community-wide patterns: estimating power strengthens statistical inference. Am Nat 122:618–625

    Article  Google Scholar 

  • Treble MA, Tallman RF (1997) An assessment of the exploratory fishery and investigation of the population structure of broad whitefish (Coregonus nasus) from the Mackenzie River Delta, 1989-1993. Can Tech Rep Fish Aquat Sci 2180

  • Underwood AJ, Chapman MG (2003) Power, precaution, Type II error and sampling design in assessment of environmental impacts. J Exp Mar Biol Ecol 296:49–70

    Article  Google Scholar 

  • Van Strien AJ, Van De Pavert R, Moss D, Yates TJ, van Swaay CAM, Vos P (1997) The statistical power of two butterfly monitoring schemes to detect trends. J Appl Ecol 34:817–828

    Article  Google Scholar 

  • VanGerwen-Toyne M, Walker-Larsen J, Tallman RF (2008) Monitoring spawning populations of migratory coregonids in the Peel River, NT: the Peel River fish study 1998-2002. Can Manuscr Rep Fish Aquat Sci 2851

  • VanGerwen-Toyne M, Tallman RF, Gillis D (2012) Comparison of life history traits between anadromous and lacustrine stocks of broad whitefish (Coregonus nasus): an intra-specific test of Roff’s hypothesis: Biology and Management of Coregonid Fishes–2008. Adv Limnol 63:159–173

    Google Scholar 

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Acknowledgments

We thank the staff of the Gwich’in Renewable Resource Board and the Fort McPherson Renewable Resource Council for helping to coordinate the field project. We would also like to thank the community fish monitors, whose work and expertise were invaluable to the field project; F. Koe, W. Teya, W. Alexie, L. Snowshoe, and R. Elias all freely shared their extensive knowledge about fish in the Peel River and often worked in challenging environmental conditions. Thanks also to A. Firth for helping with project logistics, T. Loewen for age determination of fish, and M. Johnson for counting fish eggs. Funding for the project was provided by the Gwich’in Renewable Resource Board, Fisheries and Oceans Canada (Freshwater Institute), and the University of Manitoba. The Polar Continental Shelf Project (Environment Canada) provided helicopter transportation to field camps (PCSP publication # 02508).

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Correspondence to R. F. Tallman.

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VanGerwen-Toyne, M., Gillis, D.M. & Tallman, R.F. Statistical power: an important consideration in designing community-based monitoring programs for Arctic and sub-Arctic subsistence fisheries. Polar Biol 37, 1435–1444 (2014). https://doi.org/10.1007/s00300-014-1533-7

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