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Article

Temperature-Dependent Demographic Characteristics and Control Potential of Aphelinus asychis Reared from Sitobion avenae as a Biological Control Agent for Myzus persicae on Chili Peppers

1
College of Agriculture and Food Science, Zhejiang A&F University, Hangzhou 311300, China
2
College of Plant Protection, Northwest A&F University, Yangling 712100, China
3
College of Economic and Management, Zhejiang A&F University, Hangzhou 311300, China
4
Fengdong New City Administration for Market Regulation, Xi’an 710086, China
5
College of Plant Protection, Shanxi Agricultural University, Taigu 030801, China
*
Author to whom correspondence should be addressed.
Insects 2020, 11(8), 475; https://doi.org/10.3390/insects11080475
Submission received: 3 July 2020 / Revised: 20 July 2020 / Accepted: 23 July 2020 / Published: 27 July 2020
(This article belongs to the Collection Improving IPM of Specialty Crop Pests and Global Food Security)

Abstract

:
Aphelinus asychis, a polyphagous parasitoid, has been widely used as an efficient biological control agent against the aphid Myzus persicae. Aiming to evaluate the influence of temperature on the biological characteristics and control potential of A. asychis for M. persicae, we compared the life table parameters and control potential of A. asychis, which included the developmental time, longevity, fecundity, intrinsic rate of increase (r), and finite killing rate (θ). The results showed that increasing the temperature significantly decreased the developmental time and longevity of A. asychis. The r at 24 (0.2360 d−1) and 28 °C (0.2441 d−1) were significantly greater than those at 20 (0.1848 d−1) and 32 °C (0.1676 d−1). The θ at 24 (0.4495), 28 (0.5414), and 32 °C (0.4312) were also significantly greater than that at 20 °C (0.3140). The relationship between population fitness (r and θ) and temperature followed a unary quadratic function (R2 > 0.95). The temperatures for the expected maximum intrinsic rate of increase (rmax) and the maximum finite killing rate (θmax) were 25.7 and 27.4 °C, respectively. In conclusion, A. asychis could develop and produce progenies within the temperature range of 20–32 °C, and its control efficiency for M. persicae at 24, 28, and 32 °C was greater than that at 20 °C. The most suitable temperature range for controlling M. persicae with A. asychis in the field might be between 25.7 and 27.4 °C.

Graphical Abstract

1. Introduction

The chili pepper (Capsicum annuum, Solanaceae) is an important vegetable and condiment planted in greenhouses and open-air fields in China [1]. The green peach aphid (Myzus persicae) is a sucking pest of more than 400 host plant species covering 40 families, including the chili pepper [2,3]. It is also an important vector of more than 100 plant viruses [2]. Its fast development and high fecundity promote the build–up of large populations within a short period, especially in greenhouse agroecosystems [4]. In the past few decades, the intensive use of chemical insecticides such as carbamate [5], pyrethroid [6], cyclodiene [7], neonicotinoid [8], and many others to control M. persicae has resulted in their development of resistance to these chemicals. Furthermore, chemical insecticides also have tremendous negative impacts on beneficial organisms and the environment [9,10,11].
Because of the critical economic damage by M. persicae to chili peppers, many biological agents, including predators and parasitoids, have been extensively studied and used, especially aphelinidae wasps [12,13,14]. There are 84 species in the genus Aphelinus worldwide [15,16]. Most species in this genus play important roles in the biological control of aphids and have been widely used in vegetable and fruit production in greenhouses and in the field [17,18]. Among them, Aphelinus asychis is a polyphagous endoparasitoid of about 40 aphid host species including M. persicae and Sitobion avenae [13,18,19,20], and it has been used under field and greenhouse conditions [21,22].
In biological control, banker plant systems have been extensively used to control vegetable pests, including M. persicae [12,23,24,25]. A typical banker plant system includes three important elements: a banker plant, alternative host, and natural enemy [12]. The cost of the winter wheat (Triticum aestivum) plant is low, and the cultivation and management techniques are relatively simple. In addition, the host plants of S. avenae are only gramineous crop and grass, including the winter wheat plant [26]. Therefore, the wheat plant and S. avenae were suitable to combine for the banker plant system in many previous studies [13,27]. In this research, we used the winter wheat plant S. avenae and A. asychis to form a banker plant system, which was a continuation of our previous study [13,14].
In this banker plant system, the alternative host and natural enemy are insects, and both are ectotherms. Their physiological functions, such as locomotion, feeding, and population fitness, are significantly affected by many environmental factors, especially temperature [28,29,30]. In addition, the geographical distribution and invasion range of the insects is also limited by environmental temperature [31,32]. Therefore, the influence of temperature on the control efficiency and population fitness of many natural enemies has been estimated in many previous studies, such as of Aphidius gifuensis, Encarsia Formosa, Ophraella communa, and Harmonia dimidiata [33,34,35,36].
The control efficiency of parasitoids is influenced by many factors, such as temperature, prey species, host plants, etc. [37]. The linkage of the life table, parasitism, and feeding rate showed that the host plant affected the demography and parasitic effectiveness of A. asychis against M. persicae [13]. Additionally, the population fitness of the parasitoids was affected by temperature [38,39]. However, studies on the influence of temperature on the population fitness and control efficiency of A. asychis parasitizing M. persicae on chili peppers are lacking. In order to estimate its population fitness and quantitatively assess its control efficacy, we collected and analyzed data on the life table parameters, parasitism rate, and feeding rate of A. asychis at four constant temperatures using the age-stage, two-sex life table. In addition, we used population projection to quantitatively predict its killing potential, which might be beneficial to increase the control efficiency of A. asychis by regulating the environmental temperature.

2. Materials and Methods

2.1. Plant and Insect Cultures

The chili pepper plants (var. “Ox horn”) were grown in a soil mixture (peat moss: perlite = 3:1) in plastic pots (10 cm in diameter) and enclosed in nylon net cages (60 × 60 × 60 cm3). Myzus persicae were reared on chili pepper plants (90 days old), and A. asychis was fed on S. avenae, which fed on winter wheat plants (variety, “Xinong 979”). The winter wheat plant, the chili pepper plant, M. persicae, S. avenae, and A. asychis were reared in a phytotron (photoperiod, 14:10 h (L/D); illumination intensity, 10,000 ± 50 lx; 25 ± 0.5 °C; and 70 ± 10% RH (Relative Humidity)) at Northwest A&F University, Shaanxi, China.

2.2. Life Table, Parasitism, and Host Feeding

Data on fecundity, the host feeding of A. asychis, and its killing of aphids were obtained at 20, 24, 28, and 32 °C following the method described by Wang et al. [13]. About 100 s-instar M. persicae nymphs were reared on a circular chili pepper leaf disc in a Petri dish (3 cm in diameter), and water-agar (1%) was used to keep the leaf fresh. Ten mated A. asychis female adults that had previously emerged from S. avenae were transferred into the Petri dish and removed 24 h later. The parasitized and healthy aphid nymphs were maintained in the phytotron at 20, 24, 28, and 32 °C, respectively. After seven days, 50 mummified aphids were randomly selected for each treatment and monitored daily. Emerged A. asychis female and male adults were paired. If the male parasitoid was not enough or died before the female, other male adults from the non-tested population were used. Each parasitoid pair was transferred into a new Petri dish containing the fresh chili pepper leaf and 50 s-instar M. persicae nymphs for parasitism and feeding. The developmental time, longevity, parasitism, and host feeding of A. asychis were recorded until all the tested parasitoids died.
According to the age-stage, two-sex life table theory, the population parameters of A. asychis were analyzed with the computer program TWOSEX–MSChart [40,41,42]. The data on host feeding, non-effective parasitism, and aphid killing were analyzed using the computer program CONSUME–MSChart [43,44]. Using data on the age-stage-specific fecundity (fxj) and age-stage-specific aphid killing rate (pxj) at age x and stage j, the population growth and killing potential of A. asychis parasitizing second-instar M. persicae nymphs were analyzed using the computer program TIMING-MSChart [45]. The parameter definitions and formulas used in this study are presented in Table 1.
The standard errors of the population parameters, host feeding, non–effective parasitism, and aphid killing were estimated with the bootstrap technique, and the differences among the four constant temperature treatments were also analyzed using the same technique [46,47].

3. Results

3.1. Life Table

Overlaps between stages revealed the different developmental rates among the A. asychis individuals. The age-specific survival rate (lx) of A. asychis decreased gradually with increasing age. In the parent cohort, 43, 40, 40, and 26 parasitoids successfully emerged as adults at 20, 24, 28, and 32 °C, respectively. The emergence rates of the parent cohort were 86%, 80%, 80%, and 52% at 20, 24, 28, and 32 °C, respectively. The female proportion in the 20 °C treatment was significantly greater than that in the 28 °C treatment. The increase in temperature caused a significant decrease in the developmental time of A. asychis. Its adult longevity, likewise, showed the same trend (Figure 1 and Table 2).
The fxj curve indicates the number of progeny adults produced by the female at age x and stage j, and fx2 indicates that the female adult is of the second life stage. The fx2, mx, and lxmx of the female adult showed irregular fluctuations in all treatments. Increasing temperatures significantly decreased the reproduction period. The total number of progeny adults showed a similar trend (Figure 2 and Table 2).

3.2. Population Parameters

The values of r and λ of A. asychis at 24 and 28 °C were significantly greater than those at 20 and 32 °C, respectively, while the R0 and T decreased significantly with increasing temperature (Table 3).

3.3. Host Feeding

The Aphelinus asychis eggs, larvae, and pupae are in host bodies all the time, and this host is regarded as the parental parasitism. Therefore, the host feeding rate dose not exist before the female adult stage. All the kx of the adult female of A. asychis showed irregular undulation at 20, 24, 28, and 32 °C. The maximum daily kx at 20, 24, 28, and 32 °C were 2.4, 2.1, 3.0, and 1.3 aphids at ages 47, 22, 18, and 12 d, respectively. The maximum daily values of qx at 20, 24, 28, and 32 °C were 2.1, 1.8, 1.2, and 0.7 aphids at ages 25, 17, 10, and 12 d, respectively. Increasing the temperature decreased the C0 of the aphids that were killed by A. asychis (Table 3 and Figure 3).

3.4. Non-Effective Parasitism

Because A. asychis could not parasitize aphids during the pre-adult stage, there was no non-effective parasitism rate before adult emergence. The gx of A. asychis showed irregular fluctuation in all treatments. The maximum daily gx at 20, 24, 28, and 32 °C were 3.6, 1.7, 4.0, and 3.2 aphids at ages 52, 22, 21, and 15 d, respectively. The maximum daily values of hx at 20, 24, 28, and 32 °C were 1.0, 1.4, 0.8, and 0.7 aphids at ages 25, 19, 13, and 10 d, respectively. Increasing the temperature significantly decreased the N0 of A. asychis (Table 3 and Figure 4).

3.5. Aphid Killing Rate

Because immature A. asychis could not parasitize and feed on aphids, its killing rate during the pre-adult stage could not be determined. The daily ux of the adult females of A. asychis showed irregular undulation at 20, 24, 28, and 32 °C. The maximum ux at 20, 24, 28, and 32 °C were 25.4, 13.7, 16.0, and 5.4 aphids, respectively. The maximum daily values of wx in the 20, 24, 28, and 32 °C treatments were 12.6, 13.0, 6.2, and 3.5 aphids, respectively. The Z0 of aphids by A. asychis were 222.8, 124.0, 38.6, and 14.0 aphids per individual at 20, 24, 28, and 32 °C, respectively. The θ at 20, 24, 28, and 32 °C were 0.3140, 0.4495, 0.5414, and 0.4312, respectively. The Qp value of A. asychis increased significantly with increasing temperature (Figure 5 and Table 3).

3.6. Relationship between Population Fitness and Temperatures

The relationship between population fitness (R0, C0, r, and θ) and temperature is shown in Figure 6. The relationship between population fitness (the net reproductive rate, net feeding rate, intrinsic rate of increase, and finite aphid killing rate) and temperature followed a unary quadratic function as evidenced by the high coefficient of determination (R2), greater than 0.95. The net reproductive rate and net host feeding rate decreased as the temperature increased within the range 20 to 32 °C. The temperature for the expected maximum intrinsic rate of increase (25.7 °C) was lower than that for the maximum finite killing rate (27.4 °C).
The population projection showed that A. asychis increased much faster at 24 and 28 °C (Figure 7). Because the A. asychis female does not feed on another host before the adult stage, and male adult does not feed on aphid, the trend of the total population size was different from that of the killing potential. The curve of the female population size showed, however, a similar trend to that of the killing potential.

4. Discussion

Temperature is a vital factor that affects the population fitness of insects, of which the optimal for various insect species may vary [48,49]. In this study, the population fitness of A. asychis was evaluated at four constant temperatures. Aphelinus asychis could survive and produce progenies at all four temperatures, but higher fitness (r and θ) was observed at moderate temperature (24 and 28 °C). The fitting of the data to a unary quadratic function showed that the temperatures for the expected maximum intrinsic rate of increase (rmax) and the maximum finite killing rate (θmax) were 25.7 and 27.4 °C, respectively. In addition, the temperature for the rmax of M. persicae was between 20 and 25 °C [50]. Thus, we inferred that the best temperature range for controlling M. persicae with A. asychis as a biological agent in chili pepper fields might be 25.7–27.4 °C.
Numerous factors might affect the developmental time of A. asychis. Aphelinid wasps, in general, have a developmental time of 15–30 days [13,51,52,53]. Specifically, the developmental times of A. asychis at 23.9 and 32.2 °C have been determined to be 16 and 10 days, respectively [54]. We found that increasing the temperature significantly decreased the developmental time of the A. asychis female and male. The developmental duration of A. asychis females and males was significantly affected by host age when it fed on Aphis gossypii, which was 14.5 d and 14.4 d in 1–2 day old A. gossypii-nymphs, 13.5 d and 13.1 d in 4–5 day old nymphs, and 12.3 d and 12.2 d with A. gossypii adults as the hosts at 25 °C, respectively [53]. Additionally, the developmental times of the A. asychis female and male from the egg to the adult stage and parasitization of A. gossypii at 25 °C were 13.9 and 13.2 d, respectively [55]. When it parasitized A. gossypii at 20, 25, and 30 °C, the developmental times were 20.6, 14.2, and 13.0 d respectively [56]. Differences among these parameters may be attributed to the temperature, host species, and host stage.
In previous studies, both host species and stage were reported to affect the proportions of A. asychis female adults [54,57]. When the Schizaphis graminum nymph was used as a host, the older-aged nymphs produced a higher proportion of A. asychis female progenies [58]. The proportions of A. asychis that parasitized 1–2-day-old and 4–5-day-old A. gossypii nymphs and adults were 47.4%, 41.2%, and 47.7%, respectively [53]. Additionally, the proportion of female adults produced by A. asychis parasitizing a combination of second and third instar A. gossypii nymphs was 51.9% [55]. The temperature under which the parasitoids are reared may also affect sex ratio. For instance, the highest portion of females on Diaeretiella rapae was 70% at 7.2 °C, and the lowest was 50% at 29.4 °C [59]. Kang et al. reported that the percentages of female adults were 71.7%, 65.0%, and 78.8% at 20, 25, and 30 °C, respectively [56]. This was similar to our results.
Many biotic and abiotic factors, including the host species, host plant, and temperature, could affect the longevity of A. asychis. For example, the longevity of A. asychis female adults when they parasitized S. graminum, Rhopalosiphum maidis, or Sipha flava was similar with some variation—about 18 days under greenhouse conditions [54], 20 days when they parasitized S. graminum under field conditions [57], 21 days when they parasitized the second and third instar nymphs of A. gossypii at 25 °C [55], and 23 days with second instar nymphs of M. persicae on chili peppers at 25 °C [13]. In this study, we found that increasing the temperature significantly decreased the total longevity of A. asychis, and the adult longevities of the females and males showed similar responses to temperature.
In this study, the number of progeny adults of the parasitoids decreased significantly as the temperature increased. When they parasitized S. graminum, R. maidis, and S. flava at 23.9, 26.7, 29.4, and 32.2 °C, the number of A. asychis progeny was less than 200 [54]. A. asychis females produced 232.3, 44.7, and 21.1 eggs when they parasitized 1–2-day-old A. gossypii nymphs, adults, and 4–5-day-old nymphs, respectively [53]. When A. gossypii was used as a host, A. asychis females produced an average of 342.9 mummified aphids at 25 °C [55], which was more than that at 24 °C in this study. When it parasitized the second instar nymph of M. persicae on chili peppers at 25 °C, each A. asychis female produced more eggs (414.6) than that (238.6 eggs) recorded at all four constant temperatures in this study [13]. The difference between these studies may be due to many factors, including the host species, parasitoid strains, or host plants.
Moreover, the R0 of A. asychis in this study showed a significant decrease with a temperature increase, which indicated that the R0 was negatively influenced by temperature. The regression equation for R0 and temperature supports this phenomenon. In this study, the temperature for the expected maximum intrinsic rate of increase (25.7 °C) was lower than that for the maximum finite killing rate (27.4 °C). This shows that the different population characteristics (i.e., population growth and parasitism rate) may respond differently to environmental factors.
The host feeding behaviors of A. asychis on some host species have been previously studied. It was noted that aphids fed on by A. asychis females were first paralyzed and usually died after feeding [18]. In addition, A. gossypii nymphs and adults were acceptable for host feeding by A. asychis, and the number of younger instar aphids for host feeding was higher than that of older instars [53]. They speculated that older aphids were larger and richer in nutrients than the younger nymphs, so the female parasitoids needed more young nymphs to obtain nutrients for oogenesis. Additionally, the aphid’s defense reactions may lead to the preference of aphelinids for younger hosts [60,61,62]. Furthermore, the average number of A. gossypii infesting cucumbers (Cucumis sativus) and killed by A. asychis by non-reproductive host killing was 73.9 [63]. As shown in our study, an increase in the rearing temperature significantly decreased the C0, and the regression equation for C0 and temperature showed a similar decreasing tendency from 20 to 30 °C. However, the gx showed an irregular variation in the adult stage at all four constant temperatures, and it was higher at mid-term than prophase. This phenomenon indicated that the emergence rate for progenies in the next generation was influenced by female adult age, which was also found in our previous study [13]. In addition, the N0 of aphids killed by A. asychis decreased significantly with increasing temperature in this study, which suggested that N0 might be influenced by temperature.
In this study, the r of A. asychis in the 24 and 28 °C treatments were significantly greater than those in the 20 and 32 °C treatments, which suggested that increasing the temperature benefited the r, but a further increase in temperature negatively affected the population parameter. The r of A. asychis feeding on A. gossypii nymphs was 0.255 at 25 °C [55], which was much greater than that at 20 to 32 °C in our study. The differences between the two studies might be influenced by the host species and temperature.
It is well known that the ability of a natural enemy to kill a pest in a lifespan partially represents its control efficiency. For the age-stage distribution of a stable population, the θ was used to compare the control potential of the natural enemy [43,64]. Our research results showed that the θ of A. asychis gradually decreased significantly with increasing temperature. Therefore, the killing potential of A. asychis for M. persicae on chili peppers was affected by temperature, but the most suitable temperature was around 24 °C.
Aphelinus asychis has a wide distribution in Asia, Europe, and North and South America [65], and has been used in Russia, China, South Korea, Japan, and America [13,17,22,59,66], but the climates in these regions and countries vary. Kalinkat et al. suggested that climate change may influence the functional responses of parasitoid–host pairs via temperature [67]. Temperature is the primary abiotic factor of climate change, which may affect insect development, reproduction, parasitizing behavior, distribution range, and biological clock [68,69,70,71]. The capacities of insects to adapt to new environmental conditions might be conferred by either plasticity or genetic evolution [37]. The difference in the population fitness of A. asychis at the four constant temperatures might be related to a similar mechanism. However, the exact mechanism of adaptation to these circumstances in A. asychis remains unclear and should be studied in the future. In addition, the control efficiency of A. asychis for M. persicae under greenhouse and field conditions, in which the temperature could be varied greatly, need to be tested in future research.

5. Conclusions

Aphelinus asychis could develop from egg to adult and reproduce successfully within a temperature range of 20–32 °C. The intrinsic rate of increase (r) of A. asychis at 24 and 28 °C was greater than that at 20 and 32 °C, and the finite aphid killing rates (θ) at 24, 28, and 32 °C were better than that at 20 °C. The population projection showed that A. asychis increased much faster at 24 and 28 °C. The results of fitting data showed that the temperatures for the expected maximum intrinsic rate of increase (rmax) and the maximum finite killing rate (θmax) were 25.7 and 27.4 °C, respectively, which suggested that the most suitable range of temperatures for A. asychis for controlling M. persicae in chili pepper fields might be between 25.7 and 27.4 °C.

Author Contributions

Methodology, S.Y.W. and Y.H.L.; data analyses, S.Y.W., B.L.W., and D.Y.Z.; writing—original draft preparation, S.Y.W., G.L.Y., and T.X.L.; writing—review and editing, S.Y.W. and T.X.L. All authors have read and agreed to the published version of the manuscript.

Funding

This work was supported by the National Natural Science Foundation, China (Grant No. 31701848); China Agriculture Research System (No. CARS-23-D06); Natural Science Foundation of Zhejiang province, China (LGN19C140007); and Research Foundation of Zhejiang A&F University (2017FR007).

Acknowledgments

We are grateful for the assistance of all teachers and students at Northwest A&F University and Zhejiang A&F University for this study.

Conflicts of Interest

All authors declare no conflict of interest.

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Figure 1. Age-stage-specific survival rates (sxj) and age-specific survival rates (lx) of A. asychis parasitizing M. persicae at 20 °C (a), 24 °C (b), 28 °C (c) and 32 °C (d).
Figure 1. Age-stage-specific survival rates (sxj) and age-specific survival rates (lx) of A. asychis parasitizing M. persicae at 20 °C (a), 24 °C (b), 28 °C (c) and 32 °C (d).
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Figure 2. Age-stage-specific fecundity (fx2), age-specific fecundity (mx), age-specific net fecundity (lxmx), and cumulative reproductive rates (cumu. Rx) of A. asychis parasitizing M. persicae at 20 °C (a), 24 °C (b), 28 °C (c) and 32 °C (d).
Figure 2. Age-stage-specific fecundity (fx2), age-specific fecundity (mx), age-specific net fecundity (lxmx), and cumulative reproductive rates (cumu. Rx) of A. asychis parasitizing M. persicae at 20 °C (a), 24 °C (b), 28 °C (c) and 32 °C (d).
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Figure 3. Age-specific host feeding rates (kx), age-specific net host feeding rates (qx), and cumulative host feeding rates (cumu. Cx) of A. asychis parasitizing M. persicae at 20 °C (a), 24 °C (b), 28 °C (c) and 32 °C (d).
Figure 3. Age-specific host feeding rates (kx), age-specific net host feeding rates (qx), and cumulative host feeding rates (cumu. Cx) of A. asychis parasitizing M. persicae at 20 °C (a), 24 °C (b), 28 °C (c) and 32 °C (d).
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Figure 4. Age-specific non-effective parasitism rates (gx), age-specific net non-effective parasitism rates (hx), and cumulative non-effective parasitism rates (cumu. Nx) of A. asychis parasitizing M. persicae at 20 °C (a), 24 °C (b), 28 °C (c) and 32 °C (d).
Figure 4. Age-specific non-effective parasitism rates (gx), age-specific net non-effective parasitism rates (hx), and cumulative non-effective parasitism rates (cumu. Nx) of A. asychis parasitizing M. persicae at 20 °C (a), 24 °C (b), 28 °C (c) and 32 °C (d).
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Figure 5. Age-specific aphid killing rates (ux), age-specific net aphid killing rates (wx), and cumulative killing rates (cumu. Zx) of A. asychis parasitizing M. persicae at 20 °C (a), 24 °C (b), 28 °C (c) and 32 °C (d).
Figure 5. Age-specific aphid killing rates (ux), age-specific net aphid killing rates (wx), and cumulative killing rates (cumu. Zx) of A. asychis parasitizing M. persicae at 20 °C (a), 24 °C (b), 28 °C (c) and 32 °C (d).
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Figure 6. Relationship between population fitness and temperature of A. asychis parasitizing M. persicae at 20 °C (a), 24 °C (b), 28 °C (c) and 32 °C (d).
Figure 6. Relationship between population fitness and temperature of A. asychis parasitizing M. persicae at 20 °C (a), 24 °C (b), 28 °C (c) and 32 °C (d).
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Figure 7. Simulated population growth and killing potential of A. asychis parasitizing M. persicae at 20 °C (a), 24 °C (b), 28 °C (c) and 32 °C (d).
Figure 7. Simulated population growth and killing potential of A. asychis parasitizing M. persicae at 20 °C (a), 24 °C (b), 28 °C (c) and 32 °C (d).
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Table 1. Population parameter definitions and formulas used in the computer programs including TWOSEX–MSChart, CONSUME–MSChart, and TIMING–MSChart.
Table 1. Population parameter definitions and formulas used in the computer programs including TWOSEX–MSChart, CONSUME–MSChart, and TIMING–MSChart.
ParameterDefinitionFormula
sxjAge-stage-specific survival rate s x j = n x j s 01
lxAge-specific survival rate l x = j = 1 β s x j
mxAge-specific fecundity m x = j = 1 β s x j f x j j = 1 β s x j
rIntrinsic rate of increase λ = e r
R0Net reproductive rate R 0 = x = 0 l x m x
TMean generation time T = ln ( R 0 ) r
kxAge-specific host feeding rate k x = j = 1 β s x j c x j j = 1 β s x j
qxAge-specific net host feeding rate q x = l x k x
C0Net host feeding rate C 0 = x = 0 l x k x
ψStable host feeding rate ψ = x = 0 j = 1 β a x j c x j
ωFinite host feeding rate ω = λ φ
gxAge-specific non-effective parasitism rate g x = j = 1 β s x j d x j j = 1 β s x j
hxAge-specific net non-effective parasitism rate h x = l x g x
N0Net non-effective parasitism rate N 0 = x = 0 l x g x
γStable non-effective parasitism rate γ = x = 0 j = 1 β a x j d x j
εFinite non-effective parasitism rate ε = λ γ
μxAge-specific aphid killing rate μ x = j = 1 β s x j p x j j = 1 β s x j
wxAge-specific net aphid killing rate w x = l x u x
Z0Net aphid killing rate Z 0 = x = 0 l x u x = R 0 + C 0 + N 0
ϑStable aphid killing rate ϑ = x = 0 j = 1 β a x j p x j
θFinite aphid killing rate θ = λ ϑ
QpTransformation rate Q p = Z 0 R 0 = R 0 + C 0 + N 0 R 0
p(t)Population growth p ( t ) = j = 1 m ( x = 0 f x j n x j , t )
t: the simulation time. m: number of life stages.
nxj: number of individuals of age x and stage j.
v(t)Killing potential v ( t ) = j = 1 m ( x = 0 p x j n x j , t )
The age-stage-specific fecundity (fxj) was the number of parasitoid progeny at age x and stage j. The age-stage-specific host feeding rate (cxj) was the number of aphid nymphs killed by A. asychis female adults at age x and stage j for feeding. The age-stage-specific non-effective parasitism rate (dxj) was the number of aphid nymphs parasitized by A. asychis at age x and stage j but for which emergence failed. The age-stage-specific aphid killing rate (pxj) was the number of aphid nymphs fed on by A. asychis at age x and stage j, and the pxj value is the sum of fxj, cxj, and dxj.
Table 2. Development and fecundity of A. asychis parasitizing M. persicae on chili peppers at four constant temperatures.
Table 2. Development and fecundity of A. asychis parasitizing M. persicae on chili peppers at four constant temperatures.
Parameters20 °C24 °C28 °C32 °C
nMean ± SEnMean ± SEnMean ± SEnMean ± SE
Emergence rate of the parent cohort (%)4386%4080%4080%2652%
Female proportion of the parent cohort (%)4374.4 ± 6.7% a4062.5 ± 7.7% ab4052.5 ± 7.9% bc2665.4 ± 9.3% ab
Female preadult duration (d)3220.1 ± 0.3 a2514.1 ± 0.2 b219.5 ± 0.1 c179.7 ± 0.2 c
Female longevity (d)3238.0 ± 2.1 a2526.6 ± 0.8 b2116.0 ± 0.7 c1714.0 ± 0.6 d
Male preadult duration (d)1120.4 ± 0.7 a1513.1 ± 0.2 b199.6 ± 0.1 c99.4 ± 0.2 c
Male longevity (d)1134.6 ± 0.9 a1523.4 ± 0.9 b1913.0 ± 0.3 c911.7± 0.5 d
Reproduction period (d)3216.0 ± 2.0 a2511.5±0.8 b215.9±0.6 c174.2±0.6 d
Fecundity (progeny adults/female)32238.6 ± 31.0 a25150.3 ± 11.8 b2150.1 ± 5.9 c1711.7 ± 2.1 d
Different letters in the same row indicate significant differences (paired bootstrap test, p < 0.05).
Table 3. Population parameters, host feeding, non–effective parasitism and aphid killing of A. asychis parasitizing M. persicae on chili pepper at four constant temperatures.
Table 3. Population parameters, host feeding, non–effective parasitism and aphid killing of A. asychis parasitizing M. persicae on chili pepper at four constant temperatures.
Parameters20 °C24 °C28 °C32 °C
r (d−1)0.1848 ± 0.0051 a0.2360 ± 0.0082 b0.2441± 0.0140 b0.1676 ± 0.0186 a
λ (d−1)1.2030 ± 0.0061 a1.2662 ± 0.0103 b1.2765 ± 0.0179 b1.1825 ± 0.0219 a
R0 (progeny adults)177.5 ± 27.6 a94.0 ± 13.6 b26.3 ± 5.0 c7.6 ± 1.7 d
T (d)28.0 ± 0.5 a19.2 ± 0.2 b13.4 ± 0.3 c12.1 ± 0.2 d
C0 (aphids)26.6 ± 4.0 a18.2 ± 2.7 b6.9 ± 1.4 c3.0 ± 0.6 d
N0 (aphids)18.7 ± 3.0 a11.9 ± 1.7 a5.5 ± 1.3 b3.3 ± 0.8 b
Z0 (aphids)222.8 ± 34.4 a124.0 ± 17.4 b38.6 ± 7.3 c14.0 ± 2.9 d
ϑ0.2610 ± 0.0145 a0.3550 ± 0.0235 b0.4241 ± 0.0412 b0.3647 ± 0.0371 b
θ0.3140 ± 0.0190 a0.4495 ± 0.0333 b0.5414 ± 0.0595 b0.4312 ± 0.0511 b
Qp1.2552 ± 0.0124 a1.3201 ± 0.0166 b1.4691 ± 0.0429 c1.8333 ± 0.0680 d
Different letters in the same row indicate significant differences (paired bootstrap test, p < 0.05).

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Wang, S.Y.; Wang, B.L.; Yan, G.L.; Liu, Y.H.; Zhang, D.Y.; Liu, T.X. Temperature-Dependent Demographic Characteristics and Control Potential of Aphelinus asychis Reared from Sitobion avenae as a Biological Control Agent for Myzus persicae on Chili Peppers. Insects 2020, 11, 475. https://doi.org/10.3390/insects11080475

AMA Style

Wang SY, Wang BL, Yan GL, Liu YH, Zhang DY, Liu TX. Temperature-Dependent Demographic Characteristics and Control Potential of Aphelinus asychis Reared from Sitobion avenae as a Biological Control Agent for Myzus persicae on Chili Peppers. Insects. 2020; 11(8):475. https://doi.org/10.3390/insects11080475

Chicago/Turabian Style

Wang, Sheng Yin, Bo Li Wang, Gai Lan Yan, Yan Hong Liu, Da Yu Zhang, and Tong Xian Liu. 2020. "Temperature-Dependent Demographic Characteristics and Control Potential of Aphelinus asychis Reared from Sitobion avenae as a Biological Control Agent for Myzus persicae on Chili Peppers" Insects 11, no. 8: 475. https://doi.org/10.3390/insects11080475

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