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Applied and Environmental Microbiology, July 2005, p. 4104-4107, Vol. 71, No. 7
0099-2240/05/$08.00+0 doi:10.1128/AEM.71.7.4104-4107.2005
Copyright © 2005, American Society for Microbiology. All Rights Reserved.
Epizootiological Modeling of Pandora neoaphidis Mycosis Transmission in Myzus persicae Colonies Initiated by Primarily Infected Alates
Chun Chen1 and
Ming-Guang Feng1,2*
Institute of Microbiology, College of Life Sciences, Zhejiang University, Hangzhou, Zhejiang 310029, People's Republic of China,1
Institute of Applied Entomology, College of Agriculture and Biotechnology, Zhejiang University, Hangzhou, Zhejiang 310029, People's Republic of China2
Received 25 September 2004/
Accepted 14 January 2005

ABSTRACT
Pandora neoaphidis transmission was monitored within progeny
colonies initiated by infected
Myzus periscae alates individually
flown for 1 to 5 h. Mycosis progress in the colonies was well
fitted (
r2 = 0.97) to a modified logistic or Gompertz model
that included their flight distance, postflight survival time,
premycosis fecundity, and primary infection rate as influential
variables.

INTRODUCTION
Mycoses caused by aphid-pathogenic Entomophthorales such as
Pandora neoaphidis play important roles in natural control of
aphids worldwide (
10,
14,
16,
20,
21,
24). Most of these fungi
may survive adversity as resting spores in soil, whereas for
P. neoaphidis, the most prevalent aphid pathogen, no resting
spores have been discovered (
9,
17). Although the resting spores
may potentially initiate infection in aphids (
18,
19,
22), it
is difficult to understand the general phenomenon that
P. neoaphidis is predominate in global aphid epizootics.
Aphids are highly able to disperse themselves by hovering flight over vegetation or by passive flight with winds in wide ranges (23). This ecological strategy enables holocyclic or anholocyclic species to readily locate suitable hosts (5). A hypothesis that P. neoaphidis could be widely dispersed with the flight of their alates was thus proposed (15) and has been proven by recent findings that ca. 30% of thousands of air-trapped alates bear several species of fungal pathogens, including primarily P. neoaphidis (3, 7, 11). Infected aphids usually die from mycosis after a few days of infection development inside host hemocoel (6, 12, 13). Whether or not infected alates during the limited latent period are capable of flying for dispersal and then surviving for colonization and reproduction is of primary interest for understanding the process of mycosis transmission via contagious infection of progeny individuals in contact with the cadavers of infected mother alates or the spores actively discharged from them. Computer-monitoring simulated flight experiments with infected alates may help to measure those capabilities (4, 11).
As a holocyclic species in temperate areas or an anholocyclic species in tropical or subtropical zones, the green peach aphid Myzus persicae is globally distributed and is able to infest over 40 different plant families (2). These features make M. persicae an ideal host model for insight into the process of mycosis transmission in aphid populations across vegetations. In this study, variables describing flight and postflight colonization capabilities of M. persicae alates infected by P. neoaphidis were measured by means of numerous batches of simulated flights. Two epizootiological models were fitted to describe the development of their progeny colonies and within-colony mycosis transmission.

Flight, colonization, and mycosis transmission by infected alates.
Vigorous
M. persicae alates (

2 days old) from caged plants at
20 to 23°C and a 12 h-12 h light-dark cycle were exposed
to a 1-h spore shower from sporulating mycelial mats of
P. neoaphidis F98028 (
8) and then were assumed to have received primary infection.
Maintained overnight under moist conditions for infection development,
the alates were individually fixed by their abdomens on a channel
mill (
11) with a dip of water-soluble arabic glue and then flown
for 1 to 5 h. The flight distance of each alate during a given
period was recorded automatically in a computer by a signal
receptor with data collected to a photoelectronic sensor on
the channel mill where the alate flew circumferentially as its
wings vibrated (
11). Immediately after flight, the alates were
gently removed from the mills by dipping water onto the abdomen
to dissolve the glue and then were individually reared under
the same regimen for 14 days so as to initiate new colonies
on detached cabbage leaves in petri dishes. Each leaf with hairy
roots from a petiole stimulated by prior treatment with 0.1%
naphthalene acetic acid may support an aphid colony for at least
2 weeks. In this system, aphids were allowed to freely colonize
both leaf sides, and the infected alates initiating new colonies
were considered the only source of primary infection.
Overall, 328 alates survived
1 day after colonization, with initiated colonies consisting of
1 nymph, and allowed the process of mycosis transmission to be observed. All observations were grouped based on survival days and are shown in Table 1. Observed trends in the development of the grouped colonies and accompanying mycosis transmission over days are plotted in Fig. 1. On average, the alates flew for 2.9 ± 1.7 (range, 1 to 5) h or 2.6 ± 2.2 (0.01 to 10.2) km after infection, survived for 3.2 ± 0.9 days after colonization, and produced 5.3 ± 3.2 nymphs during their survival periods. Of those, 98.5% were mycosed on days 2 to 5 and 50% were mycosed on day 3. In each group, the rate of primary infection ranged from 0.083 to 0.5, varying with the numbers of nymphs left by the infected alates on their death days. Variations in flight time and distance did not differ significantly among the groups (P > 0.05). Those surviving longer after colonization tended to produce more nymphs, but their fecundities prior to death were not always significantly different from one group to another (Table 1).
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TABLE 1. Flight and postflight colonization capabilities of M. persicae alates infected with P. neoaphidis and subsequent mycosis transmission within progeny colonies, grouped by their survival days after flight
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Contagious infection occurred in most colonies and developed
over days after their mother alates were mycosed (Fig.
1B).
Thirty-eight colonies were entirely mycosed on day 7, and 56
were entirely mycosed on day 14. Overall, entirely or partially
mycosed colonies were 13.1% on day 5, 45.7% on day 7, 76.2%
on day 10, and 80.2% on day 14. Mycosis transmission tended
to occur earlier, develop faster, and cause higher proportions
of mycosed individuals in the colonies when their mother alates
died earlier or produced fewer nymphs prior to death.

Modeling of progeny colony development.
When both progeny colony increase and within-colony mycosis
transmission were assumed to be affected by variables associated
with the flight and postflight colonization of the infected
alates and the primary infection rate at their death time, the
number of live aphids per colony (
Ni) over days (
Ti;
i = 1,
2, ..., 14) fit to the complex logistic model
N =
K/{1 + exp[
b0 + (
b1Df +
b2Ts +
b3Pm0 +
b4ln(1 +
Ndd))
Ti]} +
b5/[1 + exp(
b6 +
b7Ti)], where
N = ln(
Ni + 1),
Df = flight distance (km),
Ts = survival time (days),
Pm0 = primary infection rate, and
Ndd = number of nymphs produced by each infected mother alate on
the death day. The parameter
K was interpreted as the maximal
potential for the increase of progeny colony initiated by the
infected alate, and
b0 was simply the intercept for the fitted
curve. The expression
b1Df +
b2Ts +
b3Pm0 +
b4ln(1 +
Ndd) was
interpreted as the rate of increase of the colony over time,
and the fitted curve was adjusted by
b5/[1 + exp(
b6 +
b7Ti)].
Based on weighted modeling (weight = number of infected alates
in each group), the observations in Fig.
1A and Table
1 were
well fitted to the model (Fig.
2A) (
r2 = 0.97;
F8, 89 = 354.5;
P < 0.0001), yielding a colony increase rate of 0.05
Df +
0.06
Ts + 0.26
Pm0 0.38ln(1 +
Ndd) and a maximal colony
potential of 57 [= exp(4.06) 1] aphids. The fitted expression
0.74/[1 + exp(9.31 + 2.03
Ti)] reflected well distinct
trends of reproduction by the infected alates within the first
week and then by the apterous adults developed from their progeny
during the second week. Apparently, the rate of colony increase
was dependent upon the flight distance of the infected alates,
their survival days after flight, the number of their nymphs
prior to death, and the rate of primary infection at their death
time. Since contagious infection occurred soon after their deaths,
the number of progeny aphids decreased within the first week,
varying with the death days of the alates (Fig.
1A and
2A).

Modeling of mycosis transmission.
Provided that the progress of
P. neoaphidis mycosis caused by
contagious infection was biologically associated with available
host individuals and the primary infection rate relied merely
upon the infected alates, the varying proportion of mycosed
individuals (
Pmi) within the colonies fit to the Gompertz model,
which has been widely used to describe epidemic features of
plant diseases with epidemiologically interpretable parameters,
in a general form of
y =
K · exp[
a · exp(
rt)],
where
K is the maximal epidemic level to be achieved,
a is an
intercept for a curve to be fitted, and
r is the epidemic rate
of a plant disease over time
t (
1). Since mycosis transmission
in this study was likely to vary with the progeny colony size
associated with the flight and postflight colonizations of the
infected mother alates, the primary infection rate, and their
possible interaction, the model was modified as
Pmi = exp{
c0exp[(
c1Df +
c2Ts +
c3Pm0 +
c4Pm02N)
Ti]}, where
N = ln(
Ni + 1) and
K =
1 due to
Pmi 
1. The expression
c1Df +
c2Ts +
c3Pm0 +
c4
Pm02N apparently represented the rate of mycosis transmission within
the colonies. As a result, the fitted Gompertz model depicted
well the progress of mycosis transmission at the rate of 0.04
Df 0.02
Ts + 1.34
Pm0 1.12
Pm02N over the colonization
days (Fig.
2B) (
r2 = 0.97;
F4, 93 = 679.8;
P < 0.0001). Again,
the variables
Df,
Ts, and
Pm0 were determinants for the transmission
rate and thus the fluctuating
Pmi. Interestingly,
N was a prominent
determinant for
Pmi. This indicates that the mycosis transmission
via contagious infection was density dependent.
Since both fitted models described well interactions between P. neoaphidis and M. persicae in the development of progeny colonies and mycosis transmission (Fig. 2), they may shed light into general mechanisms involved in the wide dispersal and local transmission of aphid mycoses caused by Entomophthorales. Our results clarify that the P. neoaphidis-infected alates were capable of flying for dispersing themselves, initiating progeny colonies on plants, and transmitting their primary infection to progeny through contact. This supports our recent reports from examination of air captures of several aphid species and simulated flight studies with infected Sitobion avenae alates (3, 4, 11) and highlights the decisive role of alate-borne inocula in initiation of M. persicae mycosis.
The potential for dispersal of the Entomophthorales with their migratory flight is imaginable, because alates may passively fly with wind for over 1,000 km (23). Recently, 35 P. neoaphidis isolates derived from global aphid hosts have been found to share a uniform 1,100-bp size of the amplified internal transcribed spacer region (25). This could be indirect, molecular evidence for the source of the primary inocula of P. neoaphidis associated with migratory alates. Although active flight of the infected alates in the simulated flight system could never be as far as their potential passive flight with wind in nature, the flight distances of up to 10.2 km measured within 5 h in this study guarantee efficient dissemination of primary inocula among aphids across areas or vegetations. Upon successful colonization by infected alates on suitable plants, their primary infection can be contagiously transmitted within progeny colonies, as shown in this paper, and eventually across colonies if aphid populations develop in the field (14), because aphid colonies containing infected individuals hardly escape from the fate of an epizootic in suitable environments (8). Our findings would be revelatory for exploring pathogen-aphid interactions and for understanding mechanisms involved in natural control of aphids by the obligate fungal pathogens.

ACKNOWLEDGMENTS
This study was jointly supported by the Natural Science Foundation
of China (30430150), the National Frontier Research Program
Project 973' (2003CB114203), the Special Fund for Graduate Study
Programs in Chinese Universities (200203335041), and the Cheung
Kong Scholars Programme, Ministry of Education, China.

FOOTNOTES
* Corresponding author. Mailing address: Institute of Microbiology, College of Life Sciences, Zhejiang University, Hangzhou 310029, People's Republic of China. Phone and fax: 86-571-86971129. E-mail:
mgfeng{at}zju.edu.cn.


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Applied and Environmental Microbiology, July 2005, p. 4104-4107, Vol. 71, No. 7
0099-2240/05/$08.00+0 doi:10.1128/AEM.71.7.4104-4107.2005
Copyright © 2005, American Society for Microbiology. All Rights Reserved.