Comparative demography, population projection, functional response and host age preference behavior of the parasitoid Goniozus legneri on two lepidopterous insect hosts

This study was conducted to investigate life table characteristics of the parasitoid species, Goniozus legneri Gordh (Hymenoptera: Bethylidae), a major gregarious larval ecto-parasitoids of the carob moth, Ectomyelois ceratoniae Zeller (Lep.: Pyralidae). Demographic parameters of G. legneri reared on two hosts, the carob moth and the flour moth, Ephestia kuehniella (Zeller) (Lepidoptera: Pyralidae), were studied under laboratory conditions using age-stage, two-sex life table. Host stage preference and the functional response of this parasitoid were also determined. The duration of the immature period, adult pre-ovipositional period and total pre-ovipositional period of G. legneri reared on E. kuehniella was significantly longer than that of those reared on E. ceratoniae, while fecundity and ovipositional days of the wasp were greater/longer in females reared on E. ceratoniae. There were also significant differences in intrinsic and finite rates of increase and mean generation time between wasp parasitoid reared on two hosts. Moreover, population projection indicated that the G. legneri population can grow swifter when reared on E. ceratoniae than on E. kuehniella. Based on the experiments conducted to determine the larval stage preferences of G. legneri, for both hosts, larger larvae were more preferred stages compared to smaller ones, thereby fulfilling the optimal oviposition theory. The functional responses of G. legneri to different population densities of E. kuehniella two last instar larvae were determined as type III at 25 °C and 60% RH. The results offer valuable information on some life history attributes of G. legneri. Although G. legneri performed better on E. ceratoniae larvae than on E. kuehniella, as the use of E. ceratoniae larvae as the main host in rearing of G. legneri might be a laborious process and can increase the production costs, E. kuehniella can be used as an alternative host. Further studies are required under greenhouse and field conditions for effective use of this biocontrol agent against the carob moth.


Background
Behavior of individual parasitoids in response to an increasing host density or the functional response is undeniably a salient feature, which is influential in parasitoid success (Tomasetto et al. 2018).Host stage might be another factor, which can affect the development and reproduction of a parasitoid at the time of parasitization and hence influence the parasitoid efficiency (Pandey and Singh 1999).
The carob moth, Ectomyelois ceratoniae (Zeller) (Lepidoptera: Pyralidae), is a polyphagous devastating pest throughout the world which invades various fruits both before and after harvest.Pomegranate, Punica granatum L. (Lythraceae), is one of the preferred hosts of this pest in nearly all pomegranate producing areas of the Middle East and its yield may be significantly reduced due to the attack of this species (Sobhani et al. 2015).Not only feeding of larvae from internal parts of fruits, but also contamination of fruits with saprophytic fungi cause the fruits become inedible and unsuitable for consumption in food processing industries (Shakeri 2004).Because larval feeding takes place inside the fruits, commercial insecticides are inefficacious and hence not applicable against this pest (Hosseini et al. 2017).Hence, development of integrated pest management programs aiming to decrease the damage caused by the pest below the economic injury level is of great priority and importance (Del Pino et al. 2015).
The genus Goniozus is one of the most important genera of bethylid parasitic wasps (Polaszek 1998).Goniozus legneri Gordh (Hymenoptera: Bethylidae) is a gregarious primary ecto-larval parasitoid of some lepidopterans, particularly members of the Pyralidae (Basha and Mandour 2006).This species firstly reported from pomegranate orchards of Iran in 2010, parasitizing larvae of carob moth (Ehteshami et al. 2013).The parasitoid is a high potential biological control agent in integrated management programs for the carob moth (Sarhan et al. 2004).
The Mediterranean flour moth, Ephestia kuehniella (Zeller) (Lepidoptera: Pyralidae), is an easily reared species, which hitherto has been widely utilized for mass rearing of various natural enemies including larval ectoparasitoids (Nakano et al. 2018).As rearing of the carob moth is tedious, E. kuehniella may be a suitable alternative host candidate for rearing of G. legneri (Shoeb et al. 2005).
Life tables, as the best way to project population growth and reveal the details of life history parameters such as survival, stage development and also reproduction, lubricate a full comprehension of insect population dynamics (Huang et al. 2018).They are considered as crucial instruments for prophesying anticipated damage from a pest population, implementing pest management programs and determining best timing of pest control practices (Huang et al. 2018).Comprehensive knowledge of life table and some behavioral responses (such as functional response) of a natural enemy lead to unerring description of growth, stage differentiation, and reproduction of the biocontrol agent in order to expound an efficacious mass-rearing procedure, which is an important factor for the success of biological control programs (Eliopoulos 2019).
In the present study, raw data on the life history of G. legneri and its functional response on two hosts, E. ceratoniae and E. kuehniella (as an alternative host) were collected and analyzed.The results from this study are expected to be beneficial in providing basic information on the utilization of G. legneri to control the population of E. ceratoniae.

Parasitoids
Infested fruits were collected from underneath and on the trees of pomegranate orchards of Shiraz and vicinity, Iran, and were transferred to the laboratory for dissection and removal of the carob moth larvae.The parasitized larvae were individually placed in plastic containers (10 cm height 20 cm width) until emergence of the adult parasitoids.Parasitoids were reared separately on two hosts, E. kuehniella and E. ceratoniae larvae, in the laboratory (26 ± 1 °C, 50 ± 5% RH and 14 L: 10 D) for three generations before using in the experiments.Honey solution (10%) was placed in the containers as adult food.

Host insects
Original carob moth colonies were obtained from adults emerged from infested pomegranate fruits collected from orchards in Shiraz vicinity, Iran.Emerged adults were transferred into mating cages (50 × 50 × 100 cm) and after 24 h. of exposure, each mated female was removed from the cage and placed separately in a plastic container (1 L volume).The container was inverted on a piece of rough filter paper.A 3-cm-diameter opening was cut on bottom of the plastic container and covered with a fine mesh for ventilation.During oviposition adult females were provided with cotton wool pieces which were soaked in 10% honey water solution for feeding.The hatched larvae were transferred on the artificial diet (wheat bran 300 g, sugar 80 g, yeast 9 g, multivitamin 1.4 g, tetracycline antibiotics 0.6 g, sterile distilled water 120 ml, and glycerin 130 ml) using a fine brush.

Life table analysis
The age-stage, two-sex life table approach was utilized to analyze the raw life-history data for G. legneri (Chi 1988) via the computer program TWOSEX-MSChart (Chi 2020a).The population parameters including age-stagespecific survival rate (s xj ), age-stage-specific fecundity (f xj ), age-specific fecundity of total population (m x ), agespecific survival rate (l x ), age-specific maternity (l x m x ), intrinsic rate of increase (r), finite rate of increase (λ), net reproductive rate (R 0 ), mean generation time (T), agestage life expectancy (e xj ) and reproductive value (v xj ) were calculated.In order to estimate the variances and standard errors of population parameters, the bootstrap technique with 100,000 resampling was applied (Wei et al. 2020).Quick paired bootstrapping (paired 1 by 1) function was used for estimating the significant differences between means.Sigma plot v. 12.5 was used to create graphs.

Population projection
Using the computer program TIMING (Chi 2020b), the population growth of G. legneri after 100 days was projected through the method of Chi (1990) and Huang et al. (2018) as follows: where G, D and F are growth, development and fecundity matrices produced via using TWOSEX-MSChart.

Host stage preference
To determine the host larval stage preferences of G. legneri, a non-and a choice experiment were designed based on the size of larvae of each host, i.e., small (L 1 and L 2 ) and large (L 4 and L 5 ).Experiments were conducted separately for each host species.In the non-choice experiment, a female and male of G. legneri were confined in a Petri dish (8 cm) and provided with 10% honey solution for food.The insects were 2-3 days old, and the females were naïve.A total of 60 larvae, in batches of 30 for each group (L 1 + L 2 and L 4 + L 5 ), were placed separately in Petri dishes.The larvae were exposed to the parasitoids for 24 h in an incubator at 25° C and a 14:10 (L:D) photoperiod.After exposure, the parasitoids were removed from the Petri dishes, and the parasitized larvae were counted.In choice experiment, the procedures were the same as above, except that in each Petri dish, a mixture of larvae belonging to two groups, i.e., 15 small larvae (L 1 + L 2 ) and 15 large larvae (L 4 + L 5 ), were provided.Each experiment was replicated 10 times.
Comparisons of host larval stage preferences in nonand a choice experiment were done by independent t test (P < 0.05).Data were normalized using arcsine transformation.All analyses were done with SPSS software version 19 (SPSS Inc., Chicago, USA).
Parasitoid's preference for the host stage was evaluated by calculating a preference index according to Manly (1974).This index is as follows: where β i is the preference for prey group i, e i are the numbers of hosts remaining after the experiment; A i and A s are the number of prey groups i and s offered, respectively.This index provides a value between 0 and 1.With two-prey choices, as in our experiment, the value 0.5 for β i shows that the predator has no preference for any of prey groups, whereas values greater and lower than 0.5 indicate a preference for prey group i and prey groups, respectively (Meyling et al. 2004).To assess if the estimates deviated from 0.5, a two-tailed t test (P < 0.05) SPSS 19 software was utilized.
Parasitoid's preference for the host stage was also assessed by calculating a preference index according to Jervis and Kidd (1996) using the following equation: where the N 1 and N 2 are the number of small and large larvae, and E 1 and E 2 are the number of small and large parasitized larvae, respectively.The value c < 1 indicates preference for prey 2 (group 2), whereas c > 1 depicts preference for prey 1.

Functional response
Since in nature, only one larva in each pomegranate fruit is exposed to G. legneri females for being parasitized, so the functional response with E. ceratonia larvae seemed to be meaningless.Therefore, only the flour moth larvae were included in the experiment.The 4 th and 5 th instar larvae of E. kuehniella were placed within the Petri dishes in different densities of 4, 6, 10, 20, 30, 50 and 60.One mated 10-day-old female parasitoid (fed on drop of 20% honey/water) was introduced into each Petri dish.Ten replicates for each host density were utilized.The parasitoids were removed after 24 h, and the parasitized larvae were counted.In order to determine the shape (type) of functional response, the logistic regression of the proportion of parasitized hosts (Na/N 0 ) as a function of host density (N 0 ) is used.For doing this, a polynomial function (Eq. 1) is fitted: where N a /N t is the proportion of parasitized hosts, N t is the initial host density, P 0 , P 1 , P 2 and P 3 are the intercept, linear, quadratic, and cubic coefficients estimated through the CATMOD procedure in SAS, respectively.If the signs of the linear parameter (P 1 ) and the quadratic parameter (P 2 ) are both negative, the proportion of parasitized host decreases monotonically with host density (De Clercq et al. 2000) implying type II functional response.If P 1 and P 2 are positive and negative, respectively, the proportion of parasitized host is positively density-dependent depicting type III functional response (Juliano 2001).
After determination of the type of functional response, to estimate the parameters associated with functional response models, a nonlinear least square regression (SAS Institute 2014) was utilized.As our data fit a type III functional response, the type III equation for parasitoids was utilized as follows (Eq.2): where N a is the number of parasitized hosts, N t is the initial number of hosts, P t is the number of the parasitoid, T is the total time of the experiment (24 h in our study), T h is the handling time, b and c are constants, (24 h).The coefficient of determination (R 2 ) was calculated using the following equation: R 2 = 1 − (residual sum of squares/corrected total sum of squares).

Developmental time, survival, longevity and fecundity
The mean developmental durations of each pre-adult stage and the adult longevities of females and males as well as reproductive features of females are given in (Table 1).The total immature stages of G. legneri reared on E. ceratoniae were significantly shorter than the equivalent durations on E. kuehniella.Female wasps lived an average of 76.33 and 53.79 d on flour moth and carob moth, respectively.The adult pre-ovipositional period (APOP) of Goniozus wasps was significantly shorter on the carob moth.In other words, the mated females of G. legneri began oviposition, on average, 0.62 and 0.77 d after emergence when reared on E. ceratoniae and E. kuehniella, respectively.There were also significant differences between total pre-ovipositional periods (TPOP) of parasitoid wasps on two hosts (Table 1).The mean fecundity per Goniozus female was (101.17) on flour moth which was remarkably lesser compared to (118.04) eggs on carob moth (Table 1).The number of ovipositional days of parasitoids reared on E. kuehniella (13.53 d) was significantly lesser than those reared on E. ceratoniae (14.74 d).

Life table
The age-stage survival rates (s xj ) of G. legneri on two hosts are depicted in (Fig. 1).These curves show the likelihood that a newly deposited egg will survive to age x and stage j.The overlap of stages in the survival curves Table 1 Comparative duration of immature and adult stages development in days (mean ± SE) and reproductive features (APOP, TPOP, fecundity, and oviposition days) of Goniozus legneri reared on Ectomyelois ceratoniae and Ephestia kuehniella n: number of individuals of G. legneri completed a stage The estimation of standard errors was conducted by using 100,000 bootstraps.Means within a row followed by different letters are significantly different using the paired bootstrap test based on the confidence interval of 100,000 differences (P < 0.05)   The age-stage life expectancy (e xj ), as one of the major outputs of life table analysis, defines the number of days that an individual at age x and stage j is anticipated to survive after age x (Chi and Su 2006).The life expectancy Fig. 2 Age-specific survival rate (l x ), age-specific fecundity (m x ), age-specific maternity (l x m x ) and age-stage specific fecundity (f x ) of Goniozus legneri fed on Ephestia kuehniella and Ectomyelois ceratoniae larvae at 25 ± 1 °C and 75 ± 5% RH of each age-stage of G. legneri is depicted in Fig. 3.With increasing time intervals, the expectancy of different life stages of G. legneri decreased (Fig. 3).A newly deposited egg (e 01 ) was anticipated to live and develop through succeeding stages until an age of (71.5 and 50 d) on flour moth and carob moth larvae, respectively, which was quite equal to the mean longevity in Table 1.As shown in Fig. 3, the e xj curves showed a gentle linear decreasing trend due to the lack of notable high mortality throughout life history of the wasp.
The age-stage reproductive value (v xj ) of G. legneri expounds the contribution of an individual wasp of age x and stage j to the upcoming offspring.In other words, the v xj curves distinctly depicted the impact of age on the reproductive value.The results of the current study displayed that the reproductive value sharply raised when females started egg laying.The highest reproductive values were recorded at the age of 17 and 13 days on flour moth and carob moth hosts, respectively (Fig. 4).After emergence of all female wasps and when all of them began depositing eggs (after TPOP), the greatest contribution value of female parasitoids was 17 at age (35.08 d) when reared on E. kuehniella, while the highest v xj of wasps, which were reared on E. ceratoniae was 14 at age (34.12 d) (Fig. 4).As the contribution of males to the subsequent populations was not described by Fisher (1930), there was not any curve for males.
Life table parameters including intrinsic rate of increase (r), net reproductive rate (R 0 ), mean generation time (T) and finite rate of increase (λ) calculated using the age-stage, two-sex life table method are shown in (Table 2).Except for net reproductive rate, all other population parameters were significantly different on E. kuehniella from those gained on E. ceratoniae.According to the results, if the population reaches the stable age-stage distribution and if the physiological factors are the only mortality factors, the population of G. legneri reared on E. kuehniella can increase 1.2270-fold per day or at an exponential rate of 0.2046 per day, and it can multiply 91.06 times every 22.05 d.By comparison, when reared on E. ceratonia, the wasp population had the capability to grow 1.2767-fold per day or at an exponential rate of 0.2442 per day, and it was capable to increase 101.52 times every 18.91 d.

Population projection
The population growth projections of G. legneri utilizing the life table data are shown in Fig. 5.The parasitoid population grew much faster on E. ceratoniae than on E. kuehniella (Fig. 5).After 100 days, there were 227,553,267 individuals in various pre-adult stages, 81,422,480 female and 9,457,624 male adult wasps (reared on E. kuehniella), while on E. ceratoniae, there were 111,142,980,734 individuals in pre-adult stages, and 4,476,203,151 female and 731,806,109 male adults (Fig. 5).With an increase in time, the growth rate of all stages of Goniozus wasps on both hosts in natural logarithmic scale approaches the intrinsic rate of increase (Fig. 5 c, d).

Host stage preference
When different stages (L 1 + L 2 as small larvae and L 4 + L 5 as large larvae) of the Mediterranean flour moth and carob moth larvae were offered to the parasitoids under no-choice conditions, there were non-significant differences among the larval stages in the number of hosts parasitized (P = 0.26, df = 18) (Table 3).Nonetheless, Goniozus wasps significantly preferred larger larvae of E. ceratoniae for egg laying (P < 0.01, df = 18) (Table 3).When the Mediterranean flour moth larvae of various developmental stages were offered together to G. legneri, there were significant differences among the larval stages in the number of hosts parasitized (P < 0.0001, df = 18).Smaller larval stages (L 1 and L 2 ) were less preferred by G. legneri than larger ones (L 4 and L 5 ) (Table 3).Similar results were obtained for Goniozus wasps on carob moth larvae (P < 0.0001, df = 18) and the parasitoid wasps preferred larger larvae over smaller ones (Table 3).The values of Manly's preference index for two groups of larvae of each host (E.kuehniella and E. ceratoniae) are presented in (Table 4).This index was higher than 0.5 for larger larvae for both the flour moth (0.64) and the carob moth (0.70) meaning that the parasitoid wasp showed a distinct preference for laying eggs on larger larvae.
The value of Jervis and Kidd preference index between zero and one indicated a preference for smaller larvae and the value between 1 and infinity indicated a preference for larger larvae.These parameters were 1.37 and 1.44 for the flour moth and the carob moth, respectively, which indicated preference for larger larvae (Table 4).

Functional response
Functional responses of G. legneri determined as type III by a logistic regression (Table 5).The results of logistic regression analysis (Table 5) indicating the linear and cubic coefficients were positive for parasitism which is an indication of a type III functional response.The parasitization rate first rose at lower host density and then decreased at a higher host density resulting a sigmoid curve.The attack coefficients b and the handling time T h for E. kuehniella larvae were (0.0176 ± 0.0058) and (0.8950 ± 0.0342), respectively (Table 6).

Discussion
Adequate information about a biocontrol agent is prerequisite for implementing any decision to use it in any pest management program.The intrinsic rate of increase, survival rate, developmental rate and fecundity, as basic elements representing the life history and stage differentiation, can be utilized in population ecology research, forecasting population growth and the stage structure of a population in both short-and long-term intervals.The life table data should be taken into account as the foundation of any release program of a biocontrol agent, including G. legneri, to achieve accurate timing and coincident with susceptible stages of the host (Getu et al. 2004).Moreover, information on the biological parameters of a parasitoid contributes mightily to prognosticating the Based on obtained results, total pre-adult developmental period of Goniozus wasps reared on E. kuehniella was significantly lengthier than those reared on E. ceratoniae.Nonetheless, the larval development of wasps was fairly shorter when reared on E. kuehniella.The present findings showed that adult females began egg laying nearly immediately or in less than 1 day after emergence on both hosts, a pattern which has been observed in many parasitoids (Ebrahimi et al. 2013).The total pre-ovipositional period (TPOP) was 15.87 d and 13.26 d on E. kuehniella and E. ceratoniae, which were both close to the age of peak reproductive value at age 17 and 13 D on these two hosts, respectively (Fig. 4).Similar results have been reported in some other studies based on the two-sex life table (Amir-Maafi and Chi 2006).Although female wasps lived remarkably longer

Table 2 Population parameters (means ± SE) of Goniozus legneri reared on Ectomyelois ceratoniae and Ephestia kuehniella estimated in this research
The estimation of standard errors was conducted by using 100,000 bootstraps.Means within a row followed by different letters are significantly different using the paired bootstrap test based on the confidence interval of 100,000 differences (P < 0. when reared on E. kuehniella, the mean fecundities and number of oviposition days of them were significantly greater/longer when reared on E. ceratoniae (Table 1).There were non-significant differences on male longevities between the wasps reared on two hosts.There were also non-significant differences in immature survival rates (s xj ) between the two hosts.
In the present study, the sex ratio was in favor of females, which was in line with some previous studies (Khidr et al.The sex ratios of most bethylid    species, including G. legneri, were female biased with low variances (Khidr et al. 2012).The reproductive biology of G. legneri conformed closely to the assumptions of the model of sex ratio evolution under local mate competition theory (LMC).In this species, each host was stung and paralyzed by an adult female, which protects it against utilization by other females (Lize et al. 2012).
Because of brood guarding and conspecific infanticide, all offspring developing on the same host are the offspring of a mother (Khidr et al. 2012).Moreover, in G. legneri, sibling mating was greatly prevalent before dispersal and brood sex ratios are mainly female biased (9-19% of offspring are male) and had a low variance (Hardy and Mayhew 1998) qualitatively conforming to expectation under single founders LMC (Krackow et al. 2002).
If a parasitoid has an equal or greater population growth rate compared to that of its host, it will probably capable of regulating its host population.The intrinsic rate of increase of G. legneri on E. kuehniella and E. ceratoniae were 0.2046 and 0.2442, respectively, whereas it ranged from 0.107 to 0.018 in case of (the carob moth) (Norouzi et al. 2008); the intrinsic rate of increase in G. legneri was much higher than those of its host.Hence, G. legneri had the potential to be used in integration with other compatible control methods to achieve an efficacious control of carob moth.
The population growth rates (r and λ) of G. legneri wasps were significantly higher on E. ceratoniae than those on E. kuehniella.It should be noted that both r and λ are efficacious parameters for evaluating population fitness (Chi et al. 2020).Overall, all these results demonstrated that varying hosts may result in considerable changes in various population traits of a parasitoid species which is in line with some the results of previous studies (Saadat et al. 2014).
Although parasitoids may have the ability to develop successfully in various larval instars of the same host, either the costs of parasitism or the suitability may vary among different instars (Fellowes et al. 2005).According to the results of the present study, the parasitoid parasitized all larval stages of both E. kuehniella and E. ceratoniae; nevertheless, there were significant differences in the parasitism rates on the different larval instars.A preference for the last two stages (L 4 + L 5 ) compared to two first instars (L 1 + L 2 ) was observed for both hosts.Based on the optimal foraging theory (Charnov 1976), which our results agreed with it, when given a choice, female parasitoids prefer larger host larvae than smaller ones for oviposition.
According to the various conducted studies on functional response of insect parasitoids, more than threequarters of functional responses were type II and less than one-fifth were type III (Fernández-Arhex and Corley 2003).Nonetheless, our study depicted that the functional response of G. legneri followed Type III model.For G. legneri, we do not know on which behavioral mechanism the type III functional response was based.Nonetheless, this response resulted in an increasing percentage of host parasitized at a certain range of host densities, and that over this range the response may act as a stabilizing factor.It is noteworthy to mention that each species of natural enemy can show different types of functional responses depending on various elements such as the age of the natural enemy and its hunger status, the species of a host, host size and distribution, availability of alternative hosts, the temperature and also conditions of the experiment (Van Lenteren et al. 2016).As type III functional response represents a density-dependent relationship between the proportion of parasitism and host density (Holling 1959), it seems that G. legneri probably was efficient at high density of its host.However, it should be noted that interpretation of functional response results is mostly strenuous and their meaning for evaluating the control capability of a biocontrol agent is restricted (Van Lenteren et al. 2016).

Conclusions
Overall, obtained results offered valuable information on some life history attributes of G. legneri which can be useful for using it as a biological control agent.The findings theoretically verified that G. legneri is a promising biocontrol agent against E. ceratoniae by showing that the parasitoid is intrinsically has the capability to suppress its host as revealed by the intrinsic rate of increase (r) comparisons.From present results it can also be concluded that different hosts had a significant effect on life history traits and also performance of G. legneri.Although G. legneri could be reared on both E. ceratoniae and E. kuehniella larvae, this parasitoid wasp performed better on carob moth.Nonetheless, as rearing of the flour moth is more cost-efficient and less strenuous compared to carob moth, this species could be a suitable alternative candidate host for mass-rearing of this parasitoid.It is noteworthy to mention that if hosts other than those studied here are considered for rearing, it is required to evaluate the performance of the parasitoid wasp on those hosts.Ehteshami et al. Egyptian Journal of Biological Pest Control 2023, 33 The numbers of hosts remaining after the experiment A i The number of prey groups i offered A s The number of prey groups s offered N 1 The number of small larvae N 2 The number of large larvae E 1 The number of small parasitized larvae E 2 The number of large parasitized larvae N a /N t The proportion of parasitized hosts N t The initial host density N a The number of parasitized hosts N t The ) and age-specific maternity (l x m x ) of parasitoid wasps on two lepidopteran hosts are plotted in Fig.2.Because only female wasps reproduce, there was just a single curve, f x4 , representing the number of hatched eggs produced by each female (fourth life

Basic statistic Hosts P values (Based on bootstrap samples) n a E. kuehniella n E. ceratoniae
(Yu et al. 2013)le developmental rates among individuals(Yu et al. 2013).The age-stage specific survival rate (l x ), age-specific fecundity (m x

Table 3
Number of parasitized larvae of two hosts by Goniozus legneri on no-choice and choice tests

Table 4
Manlyʹs and Jervis and Kidd's preference indices of Goniozus legneri on small and large larvae of Ephestia kuehniella and Ectomyelois ceratoniae

Table 5
Maximum-likelihood estimates from logistic regressions of the proportion of Ephestia kuehniella larvae parasitized by Goniozus legneri *Chi-square is the value of the likelihood ratio test to determine whether equation coefficients differed significantly from zero

Table 6
Estimated attack coefficients (b), handling times (T h ), and maximum attack rates (T/T h ) of the Goniozus legneri to different densities of Ephestia kuehniella larvae