Back-calculation of fish length: a critical review

1990 ◽  
Vol 36 (6) ◽  
pp. 883-902 ◽  
Author(s):  
R. I. C. C. Francis
2019 ◽  
Vol 76 (11) ◽  
pp. 1940-1953 ◽  
Author(s):  
Christie M. Morrison ◽  
Mélodie Kunegel-Lion ◽  
Colin P. Gallagher ◽  
Rick J. Wastle ◽  
Ellen V. Lea ◽  
...  

We assessed the fish length – otolith length relationship (FL–OL) in Dolly Varden (Salvelinus malma malma) to verify proportional growth. A decoupling was detected during first ocean migration where fish growth was occurring at a greater rate than otolith growth. Because of this decoupling, the application of traditional back-calculation models overestimated the size-at-age in premigratory char. We developed modified back-calculation equations from existing traditional models to account for this decoupling based on discontinuous piecewise regressions. The new biological intercept breakpoint method (BI–BP) provided the most accurate representation of fish size-at-age throughout all life history stages when compared with known size-at-capture values in fish. The decoupling indicates that factors other than somatic growth are important for otolith accretion. Physiological changes during smoltification likely alter calcium uptake and thereby affect calcium deposition rates on otoliths during this short but biologically critical time period of life history. It is probable that species exhibiting similar complex ontogenetic shifts in life history will likely exhibit decoupling to some extent in the FL–OL relationship.


2012 ◽  
Vol 69 (7) ◽  
pp. 1214-1229 ◽  
Author(s):  
Claudia C. Günther ◽  
Axel Temming ◽  
Hannes Baumann ◽  
Bastian Huwer ◽  
Christian Möllmann ◽  
...  

An individual-based length back-calculation method was developed for juvenile Baltic sprat ( Sprattus sprattus ), accounting for ontogenetic changes in the relationship between fish length and otolith length. In sprat, metamorphosis from larvae to juveniles is characterized by the coincidence of low length growth, strong growth in body height, and maximal otolith growth. Consequently, the method identifies a point of metamorphosis for an individual as the otolith radius at maximum increment widths. By incorporating this information in our back-calculation method, estimated length growth for the early larval stage was more than 60% higher compared with the result of the biological intercept model. After minimal length growth during metamorphosis, we found the highest increase in length during the early juvenile stage. We thus located the strongest growth potential in the early juvenile stage, which is supposed to be critical in determining recruitment strength in Baltic sprat.


1992 ◽  
Vol 49 (5) ◽  
pp. 1018-1026 ◽  
Author(s):  
William E. Ricker

The assumption underlying linear back-calculation offish lengths (L) from scale measurements (S) is that annual increments of length (ΔL) are proportional to annual increments between the annuli on scales (ΔS) for each fish–scale combination. A sample from a fish population that provides measurements of fish length and scale radius at time of collection should be symmetrical transversely to its central axis when plotted with an absolute slope of 45°; if not, it can be made symmetrical by either of two easy methods. The slope of the central axis can be estimated using either an arithmetic mean regression or (preferably) the geometric mean regression; either should be made to pass through the centroid of the whole sample. Average lengths at each age are unbiased if computed from average annulus distances using one of the above symmetrical statistics whereas biased estimates are obtained using either of the ordinary regressions between S and L, especially when part of the range of ages (older than 0) is missing at either end of the sample. Lengths of individual fish can be back-calculated throughout their life by using either the Whitney–Carlander or (preferably) the Fraser–Lee procedure, with the fixed parameter estimated from a symmetrical regression line.


1999 ◽  
Vol 50 (1) ◽  
pp. 83 ◽  
Author(s):  
Carmelo Escot ◽  
Carlos Granado-Lorencio

The allometric relationship between fish length and otolith radius was determined for a European barbel, Barbus sclateri, from two natural populations. The relationship was significantly different between populations, but did not differ between females and males. The ages of the fish were determined from the otoliths, and this was used to evaluate four back-calculation procedures: Monastyrsky’s method of direct proportion; two by intercept-corrected direct proportion (Fraser-Lee’s method and the biological intercept method); and the simple regression method. The biological intercept method provided the most reliable estimates of fish lengths at previous ages when otoliths were used. Lengths back-calculated from earlier annuli of older fish were quite different from observed lengths for each age and from lengths back-calculated from recent annuli. Resumen. A dos poblaciones naturales de barbo europeo, Barbus sclateri, se les determinó la relación alométrica entre la longitud del pez y el radio del otolito. Esta relación fue significativamente diferente entre las dos localidades geográficas, e igual entre hembras y machos. Se utilizó los otolitos para determinar la edad de los peces y para evaluar cuatro procedimientos de retrocálculo: el método de Monastyrsky de proporción directa; dos de proporción directa en los que se corrige la intersección, el método de Fraser-Lee y el de intersección biológica; y el método de regresión simple. El método de intersección biológica ofrece las estimas más reales de la longitud del pez en las edades anteriores a la captura. Por otro lado, las longitudes retrocalculadas a partir de los annuli formados en primer lugar de los ejemplares más viejos, fueron diferentes a las longitudes observadas en cada edad y a las longitudes retrocalculadas a partir de los annuli formados más recientemente.


2021 ◽  
pp. 28-35
Author(s):  
Oteri, Vivian O ◽  
Ugbomeh, Adaobi P ◽  
Moslen, Miebaka ◽  
Ugbomeh, Leonard I

Catfish are important fishery resources in the Niger Delta therefore they require studies on its growth patterns and morphometrics. This study examined the relationship between the length and width of catfish otoliths and their fish length. Catfish samples were harvested from New Calabar and Ase Rivers, Niger Delta, Nigeria, by fishers using cast net and purse seines. The fishes were identified, measured, otoliths removed and measured using standard methods. Simple linear regressions expressed the relationship between otolith dimensions and fish length. A total of 80 individuals made up of 7 species from 5 families (Ariidae, Claroteidae, Claridae, Schilbeidae and Mochokidae) were selected for this study. Correlation analysis between the morphometric parameters of the otoliths from the catfish species in the study area revealed a strong positive correlation between the total length of the fish and the length of the otoliths, with R2 values ranging from 0.86 to 0.98. There was also a strong positive correlation between total fish length and otolith width. The relationship between otolith length and width with the fish length in this study showed curvilinearity, indicating the usefulness of the otolith proportions in back calculation of the length of the fish in biological and paleontological studies.


2008 ◽  
Vol 65 (11) ◽  
pp. 2496-2508 ◽  
Author(s):  
L. Li ◽  
H. Høie ◽  
A. J. Geffen ◽  
E. Heegaard ◽  
J. Skadal ◽  
...  

The performance of five back-calculation (B-C) models was tested with individually tagged and multiple alizarin-marked Atlantic cod ( Gadus morhua ) reared at seasonally varying water temperature and food regimes over a 10-month period. The otoliths were transversely sectioned and the otolith growth between marks was measured along the dorsal, distal, and ventral radii and across the otolith width. Observed fish lengths at each marking time were compared with back-calculated lengths using linear and nonlinear scale and body proportional hypotheses (SPH and BPH) and biological intercept (BI) models. Measurements along the dorsal and distal radius with SPH and BI provided more accurate fish length estimates but with lower precision, whereas measurements of the ventral radius consistently produced greater overestimations by any model. Otolith width measurements produced moderately overestimated fish length estimates but with the highest precision and were significantly affected by temperature in all models. Certain combinations of model and otolith dimension were more sensitive to the length of the back-calculation time interval, whereas varying feeding regime induced temporary biases only. The selection of B-C model and otolith dimension thus depends not only on the environmental conditions that the fish experience, but also on the requirements of the application for which the B-C is used.


2021 ◽  
Author(s):  
Manuela Oliverio ◽  
Monica Nardi ◽  
Maria Luisa Di Gioia ◽  
Paola Costanzo ◽  
Sonia Bonacci ◽  
...  

Semi-synthesis is an effective strategy to obtain both natural and synthetic analogues of the olive secoiridoids, starting from easy accessible natural compounds.


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