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<br />n populations in Texas in <br /> <br />Siles <br /> <br />o <br />123 <br />123 <br />125 <br />125 <br />124 <br />124 <br />]21 <br />4 <br />125 <br />52 <br />64 <br />1]6 <br />87 <br />34 <br />121 <br />72 <br />51 <br />123 <br />33 <br />75 <br />]6 <br />124 <br />42 <br />65 <br />]8 <br />]25 <br />105 <br />18 <br />123 <br />101 <br />10 <br />III <br />o <br />124 <br />124 <br />4 <br />121 <br />125 <br /> <br />size per spawn assuming <br />:ings occur and that aU <br />fspring; (B) the observed <br />all families have an equal <br />erved number of pairwise <br />:h family. <br /> <br />Scenario <br /> <br />B C <br />2.00 2.00 <br />2.67 2.62 <br />2.67 2.62 <br />4.80 2.8] <br />2.67 2.64 <br />2.67 2.66 <br />2.67 2.51 <br />3.00 4.18 <br /> <br /> <br />based on genotype data, however, revealed that only a <br />subset of the breeders present in a spawning tank <br />contributed to the offspring produced. Considering <br />only the number of dams and sires that actually <br />spawned, and assuming that family size per spawning <br />pair was distributed binomially across all spawning <br />pairs, the observed Ne for each of the 13 spawns ranged <br />from 2.0 to 4.8 and averaged 3.02 (Table 2, column B), <br />approximately 34% less than the predicted maximum <br />expected average Ne of 4.55. <br />Parental assignments also revealed considerable <br />variation in family size among spawning pairs (Table <br />1). As an example, while all six dam X sire <br />combinations in tank BB-7 contributed to the spawn, <br />98% of the sampled progeny came from two of the <br />three dams, while 97% came from one of the two sires. <br />Similarly, in tank VB4-I, 84% of the sampled progeny <br />came from one of two dams (the third dam did not <br />contribute to the sampled progeny), while 97% of the <br />sampled progeny came from one of two sires. In both <br />of these examples, the actual effective size per spawn <br />was over 40% less than that expected had family size <br />per mating combination been equivalent. Estimates of <br />Ne derived by considering the variation in family size <br />per mating pair per spawn (equation 2) ranged from <br />2.00 to 4.18 per spawn and averaged 2.59; Table 2, <br />column C). The average estimate of Ne (2.59) based on <br />actual family size per spawning pair is approximately <br />43% less than the predicted maximum expected <br />average Ne of 4.55. <br />The above results lead to four not-unexpected <br />generalizations regarding the effective size of an <br />offspring population generated in a single spawning <br />event. First, the expected maximum N is not strictly a <br />function of the number of fish in ae spawning tank <br />(given a space limitation in this case of five broodfish <br />per tank) but rather of the number of dam X sire <br />combinations (irrespective of sex) that contribute to a <br />spawn. As examples, compare tank BB-2 (which had <br />four females and one male and a maximum N of 3.2) <br />with most other spawning tanks (three females eand two <br />males; maximum Ne, 4.8) and tank BB-II (two females <br />and three males), for which the expected maximum Ne <br />was the same (4.8) as for most other spawning tanks <br />(three females and two males). Second, assuming that <br />the expected family sizes per mating pair follow a <br />binomial distribution, Ne is a function of the number of <br />dam X sire combinations (families) in a spawning <br />event. Examples here include spawn I in tank BB- 7 <br /> <br />NOTE <br /> <br />1331 <br /> <br />in size among different families generated within a <br />spawning event. Examples include spawn I in tank <br />BB-2 (two females X one male = two families in the <br />proportions 61.6% and 38.4%; Ne = 2.62) versus <br />spawn 1 in tank BB-12 (one female X two males = two <br />families in the proportions 83.7% and 16.3%; Ne = <br />2.31) or spawn 1 in tank VB3-1 (one female X two <br />males = two families in the proportions of 91 % and <br />9%; Ne = 2.00). Finally, the number of actual dam X <br />sire combinations had a proportionally greater effect on <br />reducing Ne than did the variation in family size per <br />spawning pair. The reduction in Ne stemming from the <br />actual number of mating combinations was approxi- <br />mately 34%, while the reduction in Ne further <br />generated by variation in family size was approximate- <br />ly 9%. <br />The bootstrap resampling simulations to assess the <br />effect on NeR (effective size of a released population) <br />when progeny from different spawning tanks (spawns) <br />were mixed to generate a release population demon- <br />strated, as expected, that NeR was reduced when the <br />number of progeny from different spawns in the <br />mixture varied. Briefly, over the spawning year 2003, <br />the mean :!: SD number of spawns contributing to each <br />released population was 2.84 :!: 1.65. The estimate of <br />NeR for the simulated released populations when <br />different spawns were mixed in a release population <br />and when the number of progeny per spawn varied <br />(according to TPWD records) was 5.38 :!: 2.32, <br />whereas the estimate of NeR for the simulated released <br />populations when the number of progeny per (differ- <br />ent) spawn was equalized was 7.17 :!: 4.20. The <br />difference between these two simulation-based esti- <br />mates indicates that equalizing the number of progeny <br />from different spawns in a released population would <br />generate, on average, a 33% increase in NeR' We also <br />generated NeR estimates when spawns contributing less <br />than 10% of the progeny in a mixture were included as <br />is and the contribution of the remaining spawns in the <br />mixture were equalized. The estimate of NeR for these <br />simulated "pseudoequalized" released populations was <br />6.53 :!: 3.49. The average difference between this <br />estimate of NeR and that when the number of progeny <br />per spawn was equalized (NeR = 7.17 :!: 4.20) was <br />approximately 9%. <br />The purpose of this study was to assess the potential <br />for a Ryman-Laikre effect (a reduction in the effective <br />size of a wild population stemming from the small <br />effective size of II hlltr.h",rv-TP]Pll.PI! nnnll]"tinn I in thp <br />