Volume 56, Issue 4

Empirical relationships to estimate asymptotic length, length at first maturity and length at maximum yield per recruit in fishes, with a simple method to evaluate length frequency data

R. Froese

Corresponding Author

International Center for Living Aquatic Resources Management (ICLARM), MCPO Box 2631, 0718 Makati City, Philippines

Author to whom correspondence should be addressed. Tel.: +63–2–8450563; fax: +63–2–8450606; email: r.froese@cgiar.orgSearch for more papers by this author
C. Binohlan

International Center for Living Aquatic Resources Management (ICLARM), MCPO Box 2631, 0718 Makati City, Philippines

Search for more papers by this author
First published: 01 April 2005
Citations: 229

Abstract

Empirical relationships are presented to estimate in fishes, asymptotic length (L∞) from maximum observed length (Lmax), length at first maturity (Lm) from L, life span (tmax) from age at first maturity (tm), and length at maximum possible yield per recruit (Lopt) from L and from Lm, respectively. The age at Lopt is found to be a good indicator of generation time in fishes. A spreadsheet containing the various equations can be downloaded from the Internet at http://www.fishbase.org/download as popdynJFB.zip. A simple method is presented for evaluation of length–frequency data in their relationship to L, Lm and Lopt. This can be used to evaluate the quality of the length–frequency sample and the status of the population. Three examples demonstrate the usefulness of this method. 2000 The Fisheries Society of the British Isles

Number of times cited according to CrossRef: 229

  • Coping with Pleistocene climatic fluctuations: Demographic responses in remote endemic reef fishes, Molecular Ecology, 10.1111/mec.15478, 29, 12, (2218-2233), (2020).
  • Evaluating data-limited fisheries for grouper (Serranidae) and snapper (Lutjanidae) in the Coral Triangle, eastern Indonesia, Regional Studies in Marine Science, 10.1016/j.rsma.2020.101388, (101388), (2020).
  • Quantifying harvestable fish and crustacean production and associated economic values provided by oyster reefs, Ocean & Coastal Management, 10.1016/j.ocecoaman.2020.105104, 187, (105104), (2020).
  • Identifying spawner biomass per‐recruit reference points from life‐history parameters, Fish and Fisheries, 10.1111/faf.12459, 21, 4, (760-773), (2020).
  • Using fish assemblages to understand environmental connectivity and usage. A contribution to the conservation of the Yucatan Wetland, Estuarine, Coastal and Shelf Science, 10.1016/j.ecss.2020.106766, (106766), (2020).
  • How to efficiently determine the size at maturity of small‐sized tropical fishes: A case study based on 144 species identified via DNA barcoding from southwestern Madagascar, Journal of Applied Ichthyology, 10.1111/jai.14046, 36, 4, (402-413), (2020).
  • Major biomass fluctuations in lake food webs – An example in the peri-alpine Lake Annecy, Journal of Great Lakes Research, 10.1016/j.jglr.2020.04.007, (2020).
  • Using optimised otolith sectioning to determine the age, growth and age at sexual maturity of the herbivorous fish Kyphosus bigibbus: with a comparison to using scales, Marine and Freshwater Research, 10.1071/MF19231, 71, 7, (855), (2020).
  • Maturation of the European sardine Sardina pilchardus under experimental conditions strengthens bioenergetic estimate, Marine Environmental Research, 10.1016/j.marenvres.2020.104985, (104985), (2020).
  • Growth and maturity heterogeneity of three croaker species in the East China Sea, Regional Studies in Marine Science, 10.1016/j.rsma.2020.101483, (101483), (2020).
  • Are fish sensitive to trawling recovering in the Northeast Atlantic?, Journal of Applied Ecology, 10.1111/1365-2664.13693, 57, 10, (1936-1947), (2020).
  • Biological aspects of fish species from subsistence fisheries in “Bons Sinais” estuary, Mozambique, Regional Studies in Marine Science, 10.1016/j.rsma.2020.101438, 39, (101438), (2020).
  • Are South African linefishes recovering and what makes them prone to overexploitation?, African Journal of Marine Science, 10.2989/1814232X.2020.1814861, 42, 3, (261-273), (2020).
  • Length-weight relationship and condition factor for twelve fish species from the Igarapé Fortaleza basin, a small tributary of the Amazonas River estuary, Acta Amazonica, 10.1590/1809-4392201900702, 50, 1, (8-11), (2020).
  • Traditional approaches to estimate length at first maturity (L50) retrieve better results than alternative ones in a Neotropical heptapterid, Journal of Fish Biology, 10.1111/jfb.14505, 0, 0, (2020).
  • Early maturity of Sandfish Holothuria scabra offers more prospective broodstock supply of a commercially important aquaculture species , IOP Conference Series: Earth and Environmental Science, 10.1088/1755-1315/564/1/012089, 564, (012089), (2020).
  • Mediterranean nekton traits: distribution, relationships and significance for marine ecology monitoring and management, PeerJ, 10.7717/peerj.8494, 8, (e8494), (2020).
  • Growth, mortality, ovarian maturity, and exploitation of the Guinea shrimp, Holthuispenaeopsis atlantica (Balss, 1914) (Decapoda: Dendrobranchiata: Penaeidae) in inshore waters of Ghana, West Africa, Journal of Crustacean Biology, 10.1093/jcbiol/ruaa010, (2020).
  • Fishing for feed in China: Facts, impacts and implications, Fish and Fisheries, 10.1111/faf.12414, 21, 1, (47-62), (2019).
  • Spatial distribution, seasonal abundance and exploitation status of shark species in Kenyan coastal waters, African Journal of Marine Science, 10.2989/1814232X.2019.1624614, 41, 2, (191-201), (2019).
  • Ecological Assessment of the Sustainable Impacts of Fisheries (EASI-Fish): a flexible vulnerability assessment approach to quantify the cumulative impacts of fishing in data-limited settings, Marine Ecology Progress Series, 10.3354/meps13032, 625, (89-113), (2019).
  • Fish species sensitivity classification for environmental impact assessment, conservation and restoration planning, Science of The Total Environment, 10.1016/j.scitotenv.2019.135173, (135173), (2019).
  • The life‐history of from south‐western Australia and comparison of biological characteristics of the Cheilodactylidae and Latridae: support for an amalgamation of families, Journal of Fish Biology, 10.1111/jfb.13901, 94, 3, (374-390), (2019).
  • Mass balance model of Lake Volta fisheries: The use of Ecopath model, Lakes & Reservoirs: Science, Policy and Management for Sustainable Use, 10.1111/lre.12276, 24, 3, (246-254), (2019).
  • Testing approaches to determine relative stock abundance priors when setting catch recommendations using data-limited methods, Fisheries Research, 10.1016/j.fishres.2019.105343, 219, (105343), (2019).
  • Assessing attribute redundancy in the application of productivity-susceptibility analysis to data-limited fisheries, Aquatic Living Resources, 10.1051/alr/2019018, 32, (20), (2019).
  • The role of fish life histories in allometrically scaled food‐web dynamics, Ecology and Evolution, 10.1002/ece3.4996, 9, 6, (3651-3660), (2019).
  • Length‐Based Assessment of an Artisanal Albulid Fishery in the South Pacific: a Data‐Limited Approach for Management and Conservation, Marine and Coastal Fisheries, 10.1002/mcf2.10097, 11, 6, (519-534), (2019).
  • Assessing the exploitation status of main fisheries resources in Ghana’s reservoirs based on reconstructed catches and a length-based bootstrapping stock assessment method, Lake and Reservoir Management, 10.1080/10402381.2019.1616340, (1-20), (2019).
  • The Effect of Different Stocking Density of Eggs on The Production of Sangkuriang Catfish Seeds ( Clarias gariepinus Burchell 1822) by Using Filtration System , IOP Conference Series: Earth and Environmental Science, 10.1088/1755-1315/246/1/012062, 246, (012062), (2019).
  • Karasu Nehri’nde (Doğu Anadolu, Türkiye) yaşayan Chondrostoma regium (Heckel, 1843)’un bazı büyüme parametreleri, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 10.25092/baunfbed.543593, (205-216), (2019).
  • Population dynamics of sumbo fish Selar crumenophthalmus (Pisces: Carangidae) in Banda Aceh waters, Aceh, Indonesia , IOP Conference Series: Earth and Environmental Science, 10.1088/1755-1315/348/1/012016, 348, (012016), (2019).
  • Population dynamics of the Groe fish Barbodes binotatus (Pisces: Cyprinidae) in the Nagan River, Aceh Province, Indonesia , IOP Conference Series: Earth and Environmental Science, 10.1088/1755-1315/348/1/012038, 348, (012038), (2019).
  • Decreases in length at maturation of Mediterranean fishes associated with higher sea temperatures, ICES Journal of Marine Science, 10.1093/icesjms/fsz011, (2019).
  • OUP accepted manuscript, ICES Journal of Marine Science, 10.1093/icesjms/fsy205, (2019).
  • Ecological and conservation aspects of bycatch fishes: An evaluation of shrimp fisheries impacts in Northeastern Brazil, Brazilian Journal of Oceanography, 10.1590/s1679-87592019029106713, 67, (2019).
  • HISTORICAL APPROACH OF THE FISH SPECIES COMPOSITION IN ARROYO MORENO, VERACRUZ, MEXICO, BIOCYT Biología Ciencia y Tecnología, 10.22201/fesi.20072082.2019.12.72323, 12, 45-48, (2019).
  • Comparing feeding niche, growth characteristics and exploitation level of the giraffe catfish Auchenoglanis occidentalis (Valenciennes, 1775) in the two largest artificial lakes of northern Ghana , African Journal of Aquatic Science, 10.2989/16085914.2019.1628704, (1-12), (2019).
  • Reference points for the length-based indicator Lmax5% for use in the assessment of data-limited stocks, ICES Journal of Marine Science, 10.1093/icesjms/fsz158, (2019).
  • Temporal Variability of Primary Production Explains Marine Ecosystem Structure and Function, Ecosystems, 10.1007/s10021-018-0272-y, 22, 2, (331-345), (2018).
  • Length–weight relationship of thirteen demersal fishes from the tropical Brazilian continental shelf, Journal of Applied Ichthyology, 10.1111/jai.13831, 35, 2, (590-593), (2018).
  • Growth and feeding ecology of juvenile Chinese sturgeon, Acipenser sinensis, in the Yangtze Estuary, Journal of Applied Ichthyology, 10.1111/jai.13835, 35, 1, (47-53), (2018).
  • Length–weight relationships of eleven mesopelagic fishes from oceanic islands of the Southwestern Tropical Atlantic, Journal of Applied Ichthyology, 10.1111/jai.13840, 35, 2, (605-607), (2018).
  • What to do when you have almost nothing: A simple quantitative prescription for managing extremely data‐poor fisheries, Fish and Fisheries, 10.1111/faf.12335, 20, 2, (224-238), (2018).
  • Fish community and single-species indicators provide evidence of unsustainable practices in a multi-gear reef fishery, Fisheries Research, 10.1016/j.fishres.2018.07.003, 208, (70-85), (2018).
  • Life history characteristics and recruitment of fish under the effect of different hydrological regimes in a tropical floodplain, Environmental Biology of Fishes, 10.1007/s10641-018-0784-5, 101, 9, (1369-1384), (2018).
  • Implications of late-in-life density-dependent growth for fishery size-at-entry leading to maximum sustainable yield, ICES Journal of Marine Science, 10.1093/icesjms/fsx236, 75, 4, (1296-1305), (2018).
  • Reproductive strategy of milk shark, Rhizoprionodon acutus (Ruppell 1837), along north-eastern Arabian Sea, Ichthyological Research, 10.1007/s10228-018-0627-6, 65, 3, (324-333), (2018).
  • Shallow water ray-finned marine fishes follow Bergmann’s rule, Basic and Applied Ecology, 10.1016/j.baae.2018.09.002, (2018).
  • Assessment of the stock status of small-scale and multi-gear fisheries resources in the tropical Eastern Pacific region, Regional Studies in Marine Science, 10.1016/j.rsma.2018.09.008, (2018).
  • Seasonality, sex ratio, spawning frequency and sexual maturity of the opakapaka Pristipomoides filamentosus (Perciformes: Lutjanidae) from the Main Hawaiian Islands: fundamental input to size-at-retention regulations, Marine and Freshwater Research, 10.1071/MF17195, 69, 2, (325), (2018).
  • Indicators of overfishing of snapper (Lutjanidae) populations on the southwest shelf of Cuba, Ocean & Coastal Management, 10.1016/j.ocecoaman.2017.12.006, 153, (116-123), (2018).
  • Population Dynamics of Two Lessepsian Migrant Goatfish Species; Upeneus Pori and Upeneus Moluccensis from the Southeastern Mediterranean, Port Said Region, Egypt, Recent Advances in Environmental Science from the Euro-Mediterranean and Surrounding Regions, 10.1007/978-3-319-70548-4_482, (1659-1661), (2018).
  • undefined, , 10.1063/1.5064129, (020132), (2018).
  • Trophic flow structure of a neotropical estuary in northeastern Brazil and the comparison of ecosystem model indicators of estuaries, Journal of Marine Systems, 10.1016/j.jmarsys.2018.02.007, 182, (31-45), (2018).
  • Age and growth validation of the small spotted grunt Pomadasys commersonnii (Lacepède, 1801) from the northwestern coast of the Arabian Sea of Oman, Journal of Applied Ichthyology, 10.1111/jai.13687, 34, 4, (834-841), (2018).
  • Population parameters and reproduction of the piranha Serrasalmus marginatus in the Negro river, Pantanal, Brazil, Journal of Applied Ichthyology, 10.1111/jai.13770, 34, 5, (1136-1144), (2018).
  • Balanced harvesting could reduce fisheries‐induced evolution, Fish and Fisheries, 10.1111/faf.12313, 19, 6, (1078-1091), (2018).
  • Length-based estimates of growth parameters and mortality rates of fish populations from a coastal zone in the Southeastern Brazil, Zoologia, 10.3897/zoologia.35.e22235, 35, (1-8), (2018).
  • Assessing fishing impacts in a tropical reservoir through an ecosystem modeling approach, Reviews in Fish Biology and Fisheries, 10.1007/s11160-018-9539-9, (2018).
  • Creating functional groups of marine fish from categorical traits, PeerJ, 10.7717/peerj.5795, 6, (e5795), (2018).
  • Co-evolution of “race-to-fish” dynamics and declining size structures in an expanding commercial coral-reef fishery, Reviews in Fish Biology and Fisheries, 10.1007/s11160-018-9542-1, (2018).
  • Population dynamics of Prochilodus nigricans (Characiformes: Prochilodontidae) in the Putumayo River, Neotropical Ichthyology, 10.1590/1982-0224-20170139, 16, 2, (2018).
  • A REVIEW ON GROWTH OF SOME DIPLODUS SPECIES DISTRIBUTED WORLDWIDE, AQUATIC RESEARCH, 10.3153/AR18010, (74-90), (2018).
  • The influence of sample distribution on growth model output for a highly-exploited marine fish, the Gulf Corvina ( Cynoscion othonopterus ) , PeerJ, 10.7717/peerj.5582, 6, (e5582), (2018).
  • Reproduction and community structure of fish from winter catch sites from industrial shrimp bycatch from the northeast and southeast Mexican Pacific, PeerJ, 10.7717/peerj.4460, 6, (e4460), (2018).
  • Filling the gap: Length–weight and length–length relationships of intertidal endemic fishes of the Brazilian Province Oceanic Islands, Journal of Applied Ichthyology, 10.1111/jai.13554, 34, 3, (720-723), (2017).
  • Sturgeon and paddlefish life history and management: Experts' knowledge and beliefs, Journal of Applied Ichthyology, 10.1111/jai.13563, 34, 2, (244-257), (2017).
  • Reproduction and recruitment of sympatric fish species on an intertidal rocky shore, Journal of Fish Biology, 10.1111/jfb.13494, 92, 2, (308-329), (2017).
  • Length–weight relationships of 18 fish species from Paraíba do Sul basin, Minas Gerais, Brazil, Journal of Applied Ichthyology, 10.1111/jai.13346, 33, 3, (652-654), (2017).
  • Reproductive characteristics of pike‐characids Boulengerella cuvieri (Ctenoluciidae) in the middle Xingu River, Eastern Amazon, Journal of Fish Biology, 10.1111/jfb.13339, 91, 1, (346-353), (2017).
  • Life history and ecology of the elusive European short‐snouted seahorse , Journal of Fish Biology, 10.1111/jfb.13473, 91, 6, (1603-1622), (2017).
  • Recreational fisheries in Portofino Marine Protected Area, Italy: Some implications for the management, Fisheries Management and Ecology, 10.1111/fme.12241, 24, 5, (382-391), (2017).
  • Status of Lake Sturgeon (Acipenser fulvescens Rafinesque 1817) in North America, Journal of Applied Ichthyology, 10.1111/jai.13240, 32, S1, (162-190), (2017).
  • Fisheries Management of Diplodus Sargus in the East of North Sinai, Journal of Aquaculture & Marine Biology, 10.15406/jamb.2017.06.00150, 6, 2, (2017).
  • Influence of latitudinal variation in environmental gradients and population structure on the demography of a widespread pelagic fish, Arripis trutta (Forster, 1801), Environmental Biology of Fishes, 10.1007/s10641-016-0565-y, 100, 2, (121-135), (2016).
  • Growth, productivity and relative extinction risk of a data-sparse devil ray, Scientific Reports, 10.1038/srep33745, 6, 1, (2016).
  • Are small fishes more sensitive to habitat loss? A generic size-based model, Canadian Journal of Fisheries and Aquatic Sciences, 10.1139/cjfas-2015-0026, 73, 4, (716-726), (2016).
  • Twenty-five-year longevity of European hake (Merluccius merluccius) from novel use of bomb radiocarbon dating in the Mediterranean Sea, Marine and Freshwater Research, 10.1071/MF15376, 67, 7, (1077), (2016).
  • Multidimensional analysis of marine fishery resources of Maharashtra, India, Ocean & Coastal Management, 10.1016/j.ocecoaman.2016.05.008, 130, (13-20), (2016).
  • Ontogenetic shifts in fishes between vegetated and unvegetated tidepools: assessing the effect of physical structure on fish habitat selection, Journal of Fish Biology, 10.1111/jfb.13013, 89, 1, (959-976), (2016).
  • Collaborative assessment of recreational fishing in a subtropical estuarine system: a case study with fishing guides from south‐eastern Brazil, Fisheries Management and Ecology, 10.1111/fme.12172, 23, 3-4, (291-302), (2016).
  • Predicting size at first sexual maturity from length/weight relationship: a case study with an Amazonian catfish, Neotropical Ichthyology, 10.1590/1982-0224-20150152, 14, 4, (2016).
  • Age and growth of bluespine unicornfish ( Naso unicornis ): a half-century life-span for a keystone browser, with a novel approach to bomb radiocarbon dating in the Hawaiian Islands , Canadian Journal of Fisheries and Aquatic Sciences, 10.1139/cjfas-2016-0019, 73, 10, (1575-1586), (2016).
  • Size structure and gear selectivity of target species in the multispecies multigear fishery of the Kenyan South Coast, Ocean & Coastal Management, 10.1016/j.ocecoaman.2016.06.001, 130, (95-106), (2016).
  • Exploring the structural and functional properties of the Lake Victoria food web, and the role of fisheries, using a mass balance model, Ecological Modelling, 10.1016/j.ecolmodel.2016.10.002, 342, (161-174), (2016).
  • A stepwise stochastic simulation approach to estimate life history parameters for data-poor fisheries, Canadian Journal of Fisheries and Aquatic Sciences, 10.1139/cjfas-2015-0303, 73, 12, (1874-1884), (2016).
  • A Model Framework to Determine the Production Potential of Fish Derived from Coastal Habitats for Use in Habitat Restoration, Estuaries and Coasts, 10.1007/s12237-016-0121-1, 39, 6, (1785-1800), (2016).
  • Periodic life history strategy of Psectrogaster rutiloides, Kner 1858, in the Iquitos region, Peruvian Amazon, Journal of Applied Ichthyology, 10.1111/jai.12974, 31, S4, (31-39), (2016).
  • Functional, size and taxonomic diversity of fish along a depth gradient in the deep sea, PeerJ, 10.7717/peerj.2387, 4, (e2387), (2016).
  • Age, growth and population structure of invasive lionfish ( Pterois volitans/miles ) in northeast Florida using a length-based, age-structured population model , PeerJ, 10.7717/peerj.2730, 4, (e2730), (2016).
  • So Long and Thanks for All the Fish: Overexploitation of the Regionally Endemic Galapagos Grouper Mycteroperca olfax (Jenyns, 1840), PLOS ONE, 10.1371/journal.pone.0165167, 11, 10, (e0165167), (2016).
  • More than Anecdotes: Fishers’ Ecological Knowledge Can Fill Gaps for Ecosystem Modeling, PLOS ONE, 10.1371/journal.pone.0155655, 11, 5, (e0155655), (2016).
  • Resilience of Key Biological Parameters of the Senegalese Flat Sardinella to Overfishing and Climate Change, PLOS ONE, 10.1371/journal.pone.0156143, 11, 6, (e0156143), (2016).
  • Predicting reference points and associated uncertainty from life histories for risk and status assessment, ICES Journal of Marine Science: Journal du Conseil, 10.1093/icesjms/fsv195, 73, 2, (483-493), (2015).
  • Remaining questions in the case for balanced harvesting, Fish and Fisheries, 10.1111/faf.12123, 17, 4, (1216-1226), (2015).
  • Morphometric variation of Parapocryptes serperaster (Gobiidae) in dry and wet seasons in the Mekong Delta, Vietnam, Ichthyological Research, 10.1007/s10228-015-0497-0, 63, 2, (267-274), (2015).
  • Length–weight and length–length relationships for 135 fish species from the Xingu River (Amazon Basin, Brazil), Journal of Applied Ichthyology, 10.1111/jai.12677, 31, 2, (415-424), (2015).
  • Non-stationary recruitment dynamics of rainbow smelt: The influence of environmental variables and variation in size structure and length-at-maturation, Journal of Great Lakes Research, 10.1016/j.jglr.2014.11.029, 41, 1, (246-258), (2015).
  • Population and biological parameters of selected fish species from the middle Xingu River, Amazon Basin, Brazilian Journal of Biology, 10.1590/1519-6984.01914BM, 75, 3 suppl 1, (112-124), (2015).
  • See more

The full text of this article hosted at iucr.org is unavailable due to technical difficulties.