Abstract
Sitophilus oryzae (Linnaeus) is a major pest of stored grain across Southeast Asia and is of increasing concern in other regions due to the advent of strong resistance to phosphine, the fumigant used to protect stored grain from pest insects. We investigated the inheritance of genes controlling resistance to phosphine in a strongly resistant S. oryzae strain (NNSO7525) collected in Australia and find that the trait is autosomally inherited and incompletely recessive with a degree of dominance of -0.66. The strongly resistant strain has an LC50 52 times greater than a susceptible reference strain (LS2) and 9 times greater than a weakly resistant strain (QSO335). Analysis of F2 and backcross progeny indicates that two or more genes are responsible for strong resistance, and that one of these genes, designated So_rph1, not only contributes to strong resistance, but is also responsible for the weak resistance phenotype of strain QSO335. These results demonstrate that the genetic mechanism of phosphine resistance in S. oryzae is similar to that of other stored product insect pests. A unique observation is that a subset of the progeny of an F1 backcross generation are more strongly resistant to phosphine than the parental strongly resistant strain, which may be caused by multiple alleles of one of the resistance genes.
Introduction
Fumigation is the most widely used method of protecting stored grain against insect pests, as it is readily applied to all types of storages including silos, warehouses, bunkers, bag stacks, ships during transport, and cereal mills [1] . Phosphine (PH 3 ) is an ideal fumigant to disinfest bulk commodities as it is cost-effective, penetrates grain bulks readily, does not leave residues and can be rapidly eliminated from the grain via aeration [2] . Alternative fumigants are limited as use of methyl bromide for routine grain fumigation has been phased out in developed countries since 2005 and will only be allowed in developing countries until 2015 [1] . Whilst, sulphuryl fluoride is only accepted for treatment of grain in some nations as there are concerns about potential fluoride residues [1, 3] . The lack of practicable alternatives has placed very heavy reliance on phosphine for fumigation and this has inevitably resulted in selection for resistance to this fumigant in many insect pests of stored products [4] .
Introduction
Resistance toward phosphine in grain pests was first reported in a survey of insecticide resistance in insects from many countries conducted in [1972] [1973] . This report concluded that Sitophilus spp. including Sitophilus oryzae were the greatest threat to postharvest agricultural products in terms of resistance to insecticides. At that time, phosphine resistance in S. oryzae was found in only 5% of tested samples [5] . However, by 2000, the frequency of resistance in this species had increased sharply to 75% of samples in developing countries and reached a peak of 100% in Brazil [4] . Resistance to phosphine in insect pests of stored grain has now become a serious international problem, and as there is no practical replacement for this fumigant in most cases, developing strategies to manage the problem is a priority. A rational approach to manage this resistance, however, requires an understanding of the underlying genetic mechanisms controlling this phenomenon. Available information, however, is incomplete. Two genetic studies of resistance to phosphine induced mortality in S. oryzae have been carried out. Resistance in S. oryzae collected in China is autosomal, incompletely recessive and conferred by more than one gene [6] . Recently, Daglish [7] reported weak resistance of an Australian strain being autosomal, incompletely recessive and monogenic.
Introduction
Strong resistance to phosphine was first reported in S. oryzae in China in a 1995-1997 survey in which a resistance level 337 times that of a fully susceptible strain was observed [8] . The resistance level of this species in India was reported in 1998 to have increased to 425 times that of a susceptible reference strain [9] .Weakly resistant S. oryzae is found at a high frequency in most regions of Australia, with strong resistance occurring sporadically in field collected strains [10] .
Introduction
Studies on the molecular genetics of resistance to phosphine have been carried out on Rhyzopertha dominica and Tribolium castaneum. In these species, two loci act synergistically to cause strong resistance. The first gene (rph1 or tc_rph1) is responsible for weak resistance but its identity is currently unknown, whereas the second gene (rph2 or tc_rph2) was determined to be dihydrolipoamide dehydrogenase (dld) in both species [11, 12] . Individuals that are homozygous for resistance alleles of either rph1 or rph2 are weakly resistant, whereas individuals that are homozygous for resistance alleles at both loci are strongly resistant to phosphine [13, 14] . The growing problem of resistance in S. oryzae and the pressing need to manage this resistance, together with the recent identification of the rph2 resistance gene, led to our aim of determining the mechanism of inheritance of the strong resistance trait in this species.
Materials and Methods

Insect strains: origin and culture
A laboratory susceptible strain and two phosphine resistant strains of S. oryzae, one weak and one strong, were used in this study. The susceptible strain (LS2), denoted S-strain in this report, was collected from Brisbane (27°27'59.7"S 153°01'19.3"E) in south-east Queensland in 1965 [7, 15] and has been maintained under pesticide free conditions since that time. The weakly resistant strain (QSO335), denoted W-strain, was collected from a central grain storage in Millmerran (27°52'22.4"S 151°16'07.5"E), south-east Queensland in 1990 [7, 15] , while the strongly resistant strain (NNSO7525), called R-strain in this report, was collected in 2009 from a farm at Widgelli (34°19'46.9"S 146°08'14.8"E), near Griffith in southern New South Wales. The resistant strains were exposed to virginiagonzales@example.org mgL -1 (for R-strain) virginiagonzales@example.org mgL -1 (for W-strain) for 48 h to select individuals homozygous for the resistance alleles. This selection process was repeated on at least 3 generations for each strain. All insects were cultured on whole wheat at 25°C and 55% relative humidity (RH).
Genetic crosses
Mass mated reciprocal crosses of either the S-strain or the W-strain with the R-strain were established by combining 50 virgin adult males of one strain with 50 virgin females of another strain. Every two weeks, the P 0 parents were transferred to fresh grain. After eight weeks, the two to four week old F 1 of each cross was transferred to fresh food to produce the F 2 generation. The F 1 and F 2 generations were subsequently tested for their response to phosphine.
Genetic crosses
Backcross of F 1 offspring to the strongly resistant parental strain
Genetic crosses
Virgin F 1 females produced from crosses (♀ S-strain x ♂ R-strain, n = 50) and (♀W-strain x ♂R-strain, n = 50) were each mated with 50 males of the parental R-strain to generate a backcross (F 1 -BC). Insects were fed on whole wheat and incubated at 25°C and 55% RH. At 2-4 weeks post-emergence, adults of each F 1 -BC were fumigated with phosphine.
Phosphine fumigation
Phosphine fumigation was carried out based on the recommended FAO method for testing resistance [16] . Phosphine gas was generated from commercial formulations of aluminium phosphide in a 5% solution of sulphuric acid. The concentration of the generated phosphine was measured using a gas chromatograph fitted with a thermal conductivity detector (TCD) (Perkin and Elmer, Clarus 580). We used 100-150 adults (2-4 weeks old) for each dosage level tested as well as a control, which did not receive a phosphine dosage. Test insects were placed into plastic cups with small holes in their lids without food. These were then placed into gas-tight desiccators and phosphine was injected into the desiccators (except for control desiccator) through a septum. Insects were exposed to phosphine for 48 h at 25°C and 50% RH. After fumigation, insects were placed on whole wheat and allowed to recover for seven days at 25°C and 55% RH, at which time mortality was assessed. Each fumigation was undertaken three separate times at three week intervals.
Phosphine fumigation
Hybrid generations (i.e. the F 1 , F 2 or F 1 -BC) and their parental strains were fumigated simultaneously with phosphine at a range of doses. Concentrations of phosphine used for fumigation ranged from 0.002 to 0.03 mgL -1 for the S-strain; from 0.008 to 0.15 mgL -1 for the Wstrain; and from 0.1 to 1.0 mgL -1 for the R-strain. F 1 hybrids of the S-strain x R-strain cross were fumigated from 0.003 to 0.04 mgL -1 , while F 1 hybrids of the W-strain x R-strain cross were exposed to doses of 0.02 to 0.3 mgL -1
Phosphine fumigation
. The F 2 (S-strain x R-strain) was fumigated with a range of doses from 0.005 to 0.4 mgL -1 , and the F 2 progeny of the W-strain x R-strain cross were fumigated from 0.02 to 0.6 mgL -1 . The F 1 (♀S-strain x ♂R-strain)-BC and F 1 (♀W-strain x ♂R-strain)-BC were exposed to phosphine from 0.005 to 0.9 mgL -1 and from 0.03 to 0.9 mgL 
Data analysis
The responses to phosphine of the parental strains and the reciprocal F 1 progenies were analyzed by probit regression [17] using GenStat 11.1 software [18] . Abbott's formula [19] was used to correct for mortality observed in control insects, which never exceeded 3%. The probit analysis was used to determine the genetic homogeneity of the parental strains and the resulting F 1 progeny, the expected mortality based on a single gene model of resistance, the observed LC 50 s and whether the responses of the reciprocal F 1 populations differed from each other.
Inheritance of strong resistance to phosphine
The parental strains (P 0 ) and their respective F 1 progenies were initially tested for genetic uniformity of resistance by calculating the heterogeneity factor (hf) and evaluating whether chi square values (χ 2 ) revealed a significant difference between observed responses and expected values derived from the probit model. Doses at which fewer than 5 individuals were expected either to live or to die were excluded from the chi square analysis as suggested by Finney [17] . Resistant parental strains underwent multiple rounds of phosphine selection at the relevant discriminating dose to promote homozygosity at the resistance loci, hence the response of F 1 generations were expected to be genetically homogeneous. On this basis, the expected mortality of the P 0 and F 1 at each dose was calculated by the linear equation: y = α + βx, in which y is mortality at x concentration and α, β are the intercept and slope, respectively. Chi-square and degrees of freedom were then determined according to Finney [17] using observed and expected data.
Inheritance of strong resistance to phosphine
Resistance factors at 50% mortality between the S-strain and the W-strain and between the S-strain and the R-strain were determined according to Robertson et al., 2007 [20] . The reciprocal F 1 s were judged not to be significantly different from each other as the 95% confidence limits of the relative potency analysis included 1. The method developed by Stone [21] was used to calculate the degree of dominance (D). Degree of dominance ranges from -1 to +1 where -1 is completely recessive and +1 is completely dominant.
Gene(s) responsible for strong resistance to phosphine
The number of genes contributing to strong resistance was determined from analyses of the responses of the F 2 progeny derived from a cross between the S-strain and the R-strain and the progeny of their F 1 backcrossed (F 1 -BC) to the R-strain. In a similar way, the W-strain was also crossed with the R-strain to identify genetic differences between these two phenotypes. In each case, the actual mortality was compared to the predicted mortality at each experimentally tested dose (x) based on the hypotheses that a single gene is responsible for the difference between susceptible and strongly resistant insects or that a single gene is responsible for the difference between weakly resistant and strongly resistant insects. Based on segregation ratios of genotypes at F 2 and F 1 -BC generations from the single gene model, the predicted mortality at each dose of the F 2 (W x (F 2 )) was calculated using the equation Wx(F2) = W(SS) Ã the probit model of the responses to phosphine of the S-strain, F 1 hybrids and the R-strain, respectively [22] . The statistical difference between observed and predicted data was evaluated using the modified chi-square method (modified χ 2 ) [23] . The modified χ 2 analysis incorporates a weighted mean heterogeneity factor calculated from all strains contributing to the genetic composition of the F 2 or F 1 -BC [23] . Modified χ 2 values indicate no significant difference between theoretical and experimental mortalities if the probability value (P) is greater than 5% (P > 0.05) [17] . We also compared the shapes of the experimentally determined and expected response curves of the F 2 and F 1 -BC populations to test the mode of inheritance of the resistance trait. The expectation, if a single gene is responsible for the increase in resistance, is for a plateau in the response curve of the F 2 at 25% mortality if the resistance trait is dominant and 75% if it is recessive. Similarly, a plateau at 50% mortality is expected in the case of the F 1 -BC [24] .
Results

Analysis of the S-strain x R-strain cross
Mode of inheritance of strong resistance to phosphine. The probit curve of the S-strain indicated that it was genetically homogeneous with respect to its response to phosphine (P = 0.121) ( Table 1 ). This genetic uniformity was clearly reflected in the log dose-probit mortality (ld-pm) line, which showed that observed plots of the S-strain matched the probit model exactly (Fig 1) . In contrast, the strongly resistant (R-strain) and the reciprocal F 1 progeny exhibited heterogeneity (P < 0.001 and hf = 8.55, 16.49, 21.89 for the R-strain, F 1SR, F 1RS , respectively) ( Table 1 ). The level of resistance of the R-strain was calculated at the LC 50 to be 52× that of the reference S-strain, and 2× for both reciprocal F 1 progenies. The degree of dominance of F 1 (♀S-strain x ♂R-strain) and F 1 (♀R-strain x ♂S-strain) were -0.71 and -0.66, respectively ( Table 1 ), indicating that the strong resistance trait was incompletely recessive. The ld-pm lines of the reciprocal F 1 populations were essentially collinear (Fig 1) and the relative potency of F 1 (♀S-strain x ♂R-strain) and F 1 (♀R-strain x ♂S-strain) was 1.04 (0.866-1.250, 95% CL), providing reliable confirmation that the response to phosphine of each of the reciprocal F 1 populations were indistinguishable. This proved the absence of maternal effects, indicating that strong resistance in S. oryzae is autosomal, and that the data from the reciprocal F 1 s could be pooled in later analyses.
Analysis of the S-strain x R-strain cross
Gene(s) controlling strong resistance. As the resistant trait was incompletely recessive, the hypothesis of monogenic inheritance predicts a plateau in the response line of the F 2 at 75% mortality. In the F 2 progeny of the cross between the S-strain and the R-strain, there was no significant difference (P>0.05) between expected and observed data at low to intermediate doses from 0.005 to 0.03 mgL -1 (S1 Table) and a shoulder was indeed observed at 75% mortality (from 0.15 to 0.03mgL -1 ) (Fig 1) . However, at doses from 0.06 to 0.3 mgL -1
Analysis of the S-strain x R-strain cross
, the observed mortality was significantly greater than the response predicted by the monogenic inheritance model (P = 9.5E-05, 2.79E-05, 0.0093 with df = 1) (S1 Table) .
Analysis of the S-strain x R-strain cross
The monogenic hypothesis predicts a plateau in the response curve of F 1 -BC at 50% mortality. However, in the backcross of F 1 (S-strain x R-strain) to R-strain, there was evidence for at least three plateaus appearing at mortality levels of 42%,75% and 95% instead of one plateau at 50% as expected (Fig 2) . Modified chi-square values showed significant deviations across the range of tested doses at a moderately low dose (P = 0.019), moderately high doses (P = 0.040, 0.030 and 0.008) and an extremely high dose (P = 0.007) (S2 Table) . Notably, observed n = number of insects tested; SE = standard error; LC 50 = lethal concentration at 50%; CL = confidence limit; FL = fiducial limit; hf = heterogeneity factor; df = degree of freedom; χ 2 = chi-square; P = probability value; DD = degree of dominance; *Significant (P<0.05); **Significant (P<0.01); ***Significant (P<0.001). mortality was less than expected at the moderately low dose, but greater than expected at moderately high doses. Thus, it appears that more than one factor, potentially with unequal effects, contribute to the strong resistance phenotype [25] , however, this interpretation leaves the plateau at 95% mortality unexplained. The responses of the S-strain x R-strain cross and backcross progeny provide strong evidence that the monogenic hypothesis can be rejected, confirming that more than one gene controls strong resistance to phosphine. Probit analysis of mortality due to phosphine exposure: S-strain x R-strain intercross. Percent mortality was determined after a 48 h exposure to phosphine at 25°C followed by a week recovery period. Results for susceptible (S-strain) and strongly resistant (R-strain) insects are provided for reference. Experimental data for reciprocal F 1 and F 2 progeny are shown. A theoretical mortality response curve for the F 2 is drawn based on the hypothesis that only a single gene contributes to the observed resistance.
Analysis of the S-strain x R-strain cross
doi:10.1371/journal.pone.0124335.g001
Analysis of the S-strain x R-strain cross
Reciprocal crosses between the W-strain and the R-strain Dominance, resistance factor and sex-linkage of resistance to phosphine. The response of W-strain to phosphine (Table 2) indicated that it was homogeneous (P = 0.068), whereas those of the R-strain, F 1 (♀W-strain x ♂R-strain) and F 1 (♀R-strain x ♂W-strain) exhibited considerable heterogeneity (P < 0.001 and hf = 8.55, 6.94, 6.42, respectively). The resistance at the LC 50 of the W-strain was 9 times less than that of the R-strain but 6 times greater than that of the S-strain. The degree of dominance based on the response of the F 1 (♀W-strain x ♂R-strain) and F 1 (♀R-strain x ♂W-strain) progeny was -0.38 and -0.41, respectively (Table 2) ,   Fig 2. Probit analysis of mortality due to phosphine exposure: S-strain x R-strain backcross. Percent mortality was determined after a 48 h exposure to phosphine at 25°C followed by a week recovery period. Results for susceptible (S-strain) and strongly resistant (R-strain) insects are provided for reference. Experimental data for pooled F 1 progeny as well as the progeny of the backcross of the F 1 to the R-strain parent are shown. A theoretical mortality response curve for the F 1 -BC is drawn based on the hypothesis that only a single gene contributes to the observed resistance. indicating that the strong resistance trait was incompletely recessive. The ld-pm lines of the reciprocal F 1 hybrids overlapped (Fig 3) and the relative potency between F 1 (♀W-strain x ♂R-strain) and F 1 (♀R-strain x ♂W-strain) was 1.033 [0.9023-1.184, 95%CL], showing that two data sets of the reciprocal F 1 populations were statistically indistinguishable. Thus, strong resistance relative to weak resistance to phosphine in S. oryzae was neither sex-linked nor maternally influenced, allowing data of reciprocal F 1 crosses to be combined in the subsequent analysis.
Analysis of the S-strain x R-strain cross
Gene(s) responsible for strong resistance as determined from weak and strong resistance strains. Our analysis of the cross between the S-strain and the R-strain suggested that two or more incompletely recessive genes contribute to the strong resistance phenotype. Previous research indicated that one incompletely recessive gene is responsible for weak resistance in the W-strain [7] . The implication is that strong resistance is due to the effect of the gene responsible for weak resistance as well as one or more additional genes. We analyzed the progeny of a cross between the W-strain and the R-strain to determine whether the resistance factor in the W-strain is also found in the R-strain, as well as to determine the number of additional genes that contribute to resistance in the R-strain.
Analysis of the S-strain x R-strain cross
If there is no common resistance gene shared between the weakly and strongly resistant strains, their F 1 progeny will be heterozygous at each resistance locus. As a result, the dominant susceptibility phenotype will be expressed and the F 1 progeny will be almost completely sensitive to phosphine. This is not the case, as the observed mortality curve of the F 1 progeny indicated a higher level of resistance than the W-strain (Fig 3) . The simplest explanation for the result is that the resistance factor in the W-strain is also present in the R-strain and that one or more additional factors are responsible for the greater level of resistance in the R-strain. The fact that the probit curve of the F 1 was closest to the curve of W-strain rather than the strong resistance R-strain (Fig 3) and the degree of dominance of pooled F 1 determined to be -0.39 (Table 2) indicate that the additional resistance factor in the R-strain is incompletely recessive. The resistance levels of the reciprocal F 1 progeny were about twice that of the W-strain.
Analysis of the S-strain x R-strain cross
If the additional resistance phenotype of the R-strain is contributed by a single gene, 25% of the F 2 progeny will be homozygous recessive and therefore strongly resistant. Because the degree of resistance between the R-strain and the W-strain was not very great (i.e. only 9×) and the resistance was only incompletely recessive, a weak inflection of the F 2 response curve at 75% mortality can be anticipated, rather than a distinct plateau [24] . It was clear from results shown in Fig 3 and S3 Table, however, that there was no inflection observed within the expected dose range (0.1-0.15 mgL -1 ) but the actual plateau was at 91% mortality, and the n = number of insects tested; SE = standard error; LC 50 = lethal concentration at 50%; CL = confidence limit; FL = fiducial limit; hf = heterogeneity factor; df = degree of freedom; χ 2 = chi-square; P = probability value; DD = degree of dominance; *Significant (P<0.05); **Significant (P<0.01); ***Significant (P<0.001). observed mortality was significantly greater than expected in response to phosphine from 0.05 to 0.2 mgL -1 (P < 0.05 and P < 0.01).
Analysis of the S-strain x R-strain cross
To test the hypothesis that the difference between weak and strong resistance is a monogenic trait, the F 1 progeny of a cross between the W-strain (♀) and the R-strain (♂) was backcrossed to the R-strain. A monogenic hypothesis predicts that half of the progeny of the F 1 -BC will be homozygous resistant, whereas the other half will be heterozygous for the additional gene. Thus an inflection in the response curve of the F 1 -BC progeny is expected at 50% mortality. A shoulder was indeed observed at 42-45% mortality (Fig 4) . However, this was followed by significantly greater than expected mortality in response to 0.2 mgL -1 and 0.3 mgL -1 phosphine Fig 3. Probit analysis of mortality due to phosphine exposure: W-strain x R-strain intercross. Percent mortality was determined after a 48 h exposure to phosphine at 25°C followed by a week recovery period. Results for weakly resistant (W-strain) and strongly resistant (R-strain) insects are provided for reference. Experimental data for reciprocal F 1 and F 2 progeny are shown. A theoretical mortality response curve for the F 2 is drawn based on the hypothesis that only a single gene contributes to the observed resistance.
Analysis of the S-strain x R-strain cross
doi:10.1371/journal.pone.0124335.g003
Analysis of the S-strain x R-strain cross
(P < 0.01) (S4 Table) . Interestingly, a very distinct plateau occurred at 93% mortality that persisted through the highest dose tested, 0.9 mgL -1 , which was highly significantly different from the value predicted from a monogenic model (P = 1.61E-08) (S4 Table) . Thus, the hypothesis that one distinct gene is responsible for strong resistance compared to weak resistance is not supported by the data. Probit analysis of mortality due to phosphine exposure: W-strain x R-strain backcross. Percent mortality was determined after a 48 h exposure to phosphine at 25°C followed by a week recovery period. Results for weakly resistant (W-strain) and strongly resistant (R-strain) insects are provided for reference. Experimental data for pooled F 1 progeny as well as the progeny of the backcross of the F 1 to the R-strain parent are shown. A theoretical mortality response curve for the F 1 -BC is drawn based on the hypothesis that only a single gene contributes to the observed resistance. 
Discussion
Previous studies have indicated that alleles of two genes, rph1 and rph2, are responsible for the strong resistance phenotype in Rhyzopertha dominica and Tribolium castaneum. The identity of the rph2 resistance factor is known and has been shown to be the same gene in both species, whereas the identity of rph1 is not known in any species [12] . It is likewise not known whether resistance is due to the same two genes in other major pest species, which provided the motivation to analyse the genetics of phosphine resistance in S. oryzae, another major pest of grain that exhibits strong resistance to phosphine.
Discussion
Our analysis of the responses of F 2 and F 1 -BC progenies of a series of crosses between Sstrain (susceptible to phosphine), W-strain (weak resistance phenotype) and R-strain (strong resistance phenotype) led us to the conclusion that strong resistance to phosphine in S. oryzae is controlled by at least 2 major genes. One of these genes is responsible for weak resistance in the W-strain and contributes to resistance in the R-strain as well. These findings are consistent with results from who concluded that strong resistance in a Chinese strain was controlled by more than one autosomal factor [6] . The results in S. oryzae are also consistent with results in R. dominica [13, [26] [27] [28] [29] [30] [31] and T. castaneum [14, 27, 32] in which the gene responsible for weak resistance also contributes to the strong resistance trait. Weak resistance was previously genetically characterised in S. oryzae [7] and was found to be incompletely recessive, autosomally inherited and lacking any maternal influence. As these characteristics are shared with the rph1 genes in T. castaneum and R. dominica, we will name the weak resistance factor in S. oryzae So_rph1 (S. oryzae_resistance to phosphine 1).
Discussion
The additional factor, that together with So_rph1 gives rise to the strong resistance phenotype in S. oryzae, is also incompletely recessive, autosomally inherited and without maternal influence. The mode of inheritance of strong resistance to phosphine in S. oryzae in our current study is consistent with results of genetic analyses of phosphine resistance on the same species [6, 7] and in two other species of grain pests, R. dominica [26] and T. castaneum [14, 32] . Strong resistance is an incompletely recessive, autosomal trait in all isolates of all three species. One distinction is that the resistance factor of the strongly resistant strain in S. oryzae is less than that of other insect pests when determined from the LC 50 values for a 48 h exposure. Thus, the strongly resistant strain of S. oryzae is 52 times more resistant than the basal tolerance of a susceptible reference strain and 9 times the resistance of the weakly resistant strain. In contrast, the resistance factor of the strongly resistant strains of R. dominica range from 100 to 225 times that of the susceptible reference strain [29] , with one report of 600 times [26] . Strong resistance in T. castaneum is 90 times that of the fully susceptible strain given a 48 h exposure (Jagadeesan, unpublished) but reaches 431 times for a 20 h phosphine exposure [14] .
Discussion
Despite the broad similarity between phosphine resistance in S. oryzae and other pest insects, we did make an interesting and unique observation. A small proportion of the F 1 -BC progeny was unusually strongly resistant to phosphine, which was observed as a plateau in the probit mortality curve at the highest concentrations tested (Figs 2 and 4) , even to the extent that some individuals were more resistant to phosphine than the strongly resistant parent. This result, together with other deviations from a model that assumes that the strong resistance trait can be explained by a single gene in addition to So_rph1, has led us to conclude that resistance in the strains we tested is more complex than what has previously been observed in T. castaneum and R. dominica.
Discussion
These results may indicate the presence of multiple additional resistance genes or may be explained by multiple alleles at one or more resistance loci, which differ in the strength of the resistance phenotype they confer. The latter interpretation is supported by the observation that despite being selected multiple times to ensure homozygosity for resistance alleles, the strongly resistant strain of S. oryzae exhibited phenotypic heterogeneity, unlike the susceptible and weakly resistant strains. Future DNA sequence analysis of the resistance genes may clarify this point. The ambiguity regarding the genetics of strong resistance in S. oryzae makes it premature to propose the existence of a genetic equivalent of the rph2 locus previously described for T. castaneum and R. dominica [12] .
Discussion
In many ways the genetics of phosphine resistance is similar in each of the pest species studied so far. However, until the molecular identity of the resistance genes is known in each species, our ability to make direct comparisons remains limited. While the identity of the rph1 gene remains unknown, rph2 is known to be mediated by the dihydrolipoamide dehydrogenase (dld) gene in both R. dominica and T. castaneum [12] . As most properties of the resistance trait are similar between those species and S. oryzae, it is reasonable to predict that the dld gene will contribute to phosphine resistance in the latter. If this proves to be the case, a simple molecular tool can be developed to effectively identify resistance alleles and assist with resistance management in S. oryzae and other stored product insects.
Discussion
Supporting Information S1 Table. Chi-square test of the one gene model of phosphine resistance based on the F 2 progeny of an S-strain x R-strain cross. (DOCX) S2 Table. Chi-square test of the one gene model of phosphine resistance based on the progeny of an F 1 x R-strain backcross, where the F 1 was generated from an S-strain (♀) x Rstrain (♂) cross. (DOCX) S3 Table. Chi-square test of the one gene model of phosphine resistance based on the F 2 progeny of a W-strain x R-strain cross. (DOCX) S4 Table. Chi-square test of the one gene model of phosphine resistance based on the progeny of an F 1 x R-strain backcross, where the F 1 was generated from a W-strain (♀) x Rstrain (♂) cross. (DOCX)

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