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PHYSIOLOGICAL AND CHEMICAL ECOLOGY Active Spaces of Traps for Plodia interpunctella (: Pyralidae) in Enclosed Environments

1 R. W. MANKIN, R. T. ARBOGAST, P. E. KENDRA, AND D. K. WEAVER

Center for Medical, Agricultural, and Veterinary Entomology, USDAÐARS, P.O. Box 14565, Gainesville, FL 32604

Environ. Entomol. 28(4): 557Ð565 (1999) ABSTRACT Pheromone traps of different types vary considerably in their attractive ranges and efÞciency. This report examines physical and behavioral factors that affect the attractive range of pheromone traps for Plodia interpunctella (Hu¨ bner) in enclosed areas. The lures in a trap used to target infestations in department stores emitted (Z,E)Ð9,12-tetradecadien-1-ol acetate at Ϸ2.3 ng/h, or 10% of typical rates for Þeld-trap lures. Males exhibited ßight or wing-fanning responses at distances up to Ϸ4 m from the traps, which is in good agreement with predictions of previous pheromone dispersal models. At distances of Ϸ0.5 m, the sound pressure level of wing beats (and thus the wing aerodynamic power output) by males responding to pheromone was signiÞcantly higher than the sound pressure level of wing beats in the absence of pheromone. Responsiveness to pheromone habituated rapidly after initial exposure (Ϸ3 min half-life), and the aerodynamic power output declined quickly to levels measured without pheromone. The habituation response may be reproductively advantageous by allowing moths to conserve energy when a mate is not located quickly. It contributes to the ability of shortÐrange pheromone traps to spatially target infestations of P. interpunctella in department stores by decreasing the attractive ranges from 4 m to 2Ð3 m within 5Ð10 min after the mothÕs initial exposure to pheromone.

KEY WORDS Plodia interpunctella, meal moth, sex pheromone, stored products, habituation, spatial targeting

PHEROMONE TRAPS ARE used routinely to monitor infes- A pheromone-baited trap for Plodia interpunctella tations in large stored product facilities and to pin- (Hu¨ bner), for example, has been successfully used in point infestations (e.g., Vick et al. 1986, Bowditch and spatial targeting surveys of department stores and Madden 1996, Plarre 1998). Precision targeting is pos- warehouses (Arbogast and Mankin 1997). sible partly because the range of attraction of a pher- To improve the effectiveness of monitoring tech- omone trap, its active space (Bossert and Wilson niques, we conducted a study to quantify physical and 1963), is usually smaller in a typical storage environ- behavioral factors affecting the attractive range of the ment than in the Þeld. Three factors are known to P. interpunctella spatial survey traps. We measured the contribute to this reduced range. First, orientational attractive range of the traps and compared the ob- cues are reduced in an enclosed environment with no served behavior with the predictions of pheromone consistent wind speed and direction (Murlis et al. dispersal equations. 1992, Mankin et al. 1980a). Second, storage areas and department stores usually contain numerous surfaces Materials and Methods that adsorb and then re-emit pheromone, competing with the trap lure (Mankin et al. 1980a). Third, ha- . The P. interpunctella in this study were bituation can reduce the effective active space still taken from a colony established with Þeld-collected further if the does not locate a trap soon after insects from Alachua and Levy Counties, FL. The it detects the pheromone (Shorey and Gaston 1964; larvae were reared on a cereal diet (Silhacek and Bartell and Lawrence 1973, 1977; MafraÐNeto and Miller 1972) and maintained at 27 Ϯ 1ЊC, 60 Ϯ 2% RH, Baker 1996). A limited trapping range enables the and a photoperiod of 12:12 (L:D) h. In preparation for pinpointing of localized infestations, however, and bioassays, pupae were removed from the colony and short-range traps have been developed speciÞcally to sorted by sex. Adult males were placed in a separate assist in precision targeting efforts. cage on the day they emerged. Short-range traps that target infestations have re- Observation Arenas. The enclosed environment cently become even more useful with the introduction was a shed (3.25 by 8.84 by 2.44 m) maintained at the of spatial analyses into insect management pro- same temperature and relative humidity as the rearing grams (e.g., Arbogast et al. 1998, Brenner et al. 1998). incubator. A door and an air conditioner were at op- posite sides of the shed. Reference points were 1 Current address: Department of Entomology, Montana State Uni- marked relative to a central axis from the door to the versity, P.O. Box 163020, Bozeman, MT 59717. air conditioner (1.2 m above the ßoor). 558 ENVIRONMENTAL ENTOMOLOGY Vol. 28, no. 4

To characterize the pheromone dispersal patterns disturbed for at least 1 h before testing to allow ac- as precisely as possible, the shed was isolated from climation. ϭ external airßow patterns, and the internal airßow The beginning of a trial, tT 0, was speciÞed as the convection patterns were monitored. The shed had time when a Minimoth lure was removed from its no windows and all openings were sealed to elim- sealed package and positioned at the SP-Locator sta- inate drafts. Plume movement and airßow were tion. For 3 min, observers at each cage recorded the checked at different positions in the shed with a hot number of moths active at the beginning of each 30-s wire anemometer (model 8470, TSI, St. Paul, MN) interval. Positive readings included moths in ßight and and a smoke generator (model FVSP003, TEM En- those actively wing fanning and walking about on the gineering, Crawley, England). The measurements screen. The 11 replicates were Ͼ48 h apart to reduce included tests under bioassay conditions and tests to background pheromone levels. simulate typical department store conditions. Dur- Tests of longer duration were done to observe tem- ing bioassays, observers remained stationary and air poral patterns and compare observed attraction dis- conditioning was turned off 10 min before testing. tances with predictions of pheromone dispersal mod- For simulation of department store conditions, ob- els (Mankin et al. 1980a). The tests were identical to servers walked on a tangent that passed within 30 cm those measuring initial activity except for the follow- of the release point of a smoke plume and the tip of ing. A 5th cage was set 1 m beyond cage 4 (farthest the anemometer. from the door). The pheromone trap was removed A bank of six 40 W ßuorescent bulbs operated dur- from its position between cages 1 and 2 and, to control ing the light phase. A 15-W tungsten bulb operated for positional effects, was stationed either 1.5 m in during the dark phase. Light levels ranged from Ϸ0.5 Ϸ front of cage 1 or 1.5 m past cage 5. The 3-d-old males lux at either end of the shed to 2 lux at the center in each cage were observed for 15 min. There were 10 during the dark phase, as measured with a light meter replicates at each pheromone station. (model 403125, Extech Instruments, Waltham, MA) Acoustic System. Sounds of male P. interpunctella in near the central axis. In the light phase, the corre- Ϸ Ϸ ßight were recorded with a microphone (Bru¨ el and sponding levels were 80 and 200 lux, respectively. Kj¾r [B&K] model 4145, N¾rum, Denmark) sus- The Plexiglas wind tunnel (61 by 61 by 152 cm) had pended inside an insect cage, with and without a a mesh Þlter inlet and outlet. Air conditioned labora- pheromone trap adjacent to the cage. Cages in tests tory room air at 25ЊC was pulled at 5 cm/s from the with pheromone exposure held 10 insects each, but inlet, passing through the tunnel into a vacuum at the cages in tests without pheromone held 70 to ensure outlet. Tests were done during the dark phase at a level that enough insects ßew into a 3- to 8-cm radius within of Ϸ1 lux. which the wing beats could be recorded at the mi- Pheromone Traps. Two types of sticky trap, SP- crophone. The signals were ampliÞed (B&K model Locator (AgriSense, Mid Glamorgan, UK) and Phero- 2610) by a factor of 104 (80 dB, where dB ϭ 20 log (P/ con II (Tre´ce´, Salinas, CA), were tested in the wind 10 tunnel, each with 2 different P. interpunctella lures, Pref), P is the sound pressure, and Pref is a reference Minimoth (AgriSense) and IMMϩ4 (Tre´ce´). The SP- sound pressure, Beranek 1988). The recorded signals Locator traps with Minimoth lures were selected for were digitized at 25 kHz and analyzed using a personal further bioassays in the research shed. To enable com- computer with the DAVIS spectral analysis system parisons with the predictions of pheromone dispersal described in Mankin et al. (1994, 1996). Low-pass models, the emission rates of 5 Minimoth lures (septa) Þltering at 10 kHz was used to eliminate aliasing ar- were measured by procedures described in Mayer and tifacts. Calibrations of sound pressure level in decibels ␮ Mitchell (1998). The lures were placed in a hood for referenced to 20 Pa was performed by procedures 10 d at 22Ð28ЊC and the emissions were passed through described in Mankin et al. (1996). Spectrograms were an adsorbent for 3.5 h at 96 h and at 240 h. The amounts constructed from 0.5- to 1.0-s intervals of 5 individual collected were quantiÞed by gas chromatography, cal- moth ßights with pheromone and 5 without phero- ibrated against 200 ng of a n-tetradecane internal stan- mone exposure. Individual spectra contained 4096 dard. points covering a 0.1638Ðs interval, and the spectra Bioassays. For wind tunnel bioassays, individual 0- were spaced 0.1 s apart. to 1ÐdÐold males were released 85 cm downwind of a Statistical Analysis. Comparisons of numbers of ac- pheromone trap and observed for 5 min. The total tive moths and analyses of the temporal patterns of number of ßying and trapped males was recorded. responses in different cages were performed using Two different bioassays were done in the shed. For SAS PROC GLM and PROC NLIN (SAS Institute tests of initial activity, simulating when a moth Þrst 1988). For analysis of tests that measured initial ac- enters the active space of a pheromone trap, 10 moths tivity, the Activity Level was the sum of the numbers (2Ð4Ðd after emergence) were placed in each of 4 of insects ßying or wing fanning at all seven 30-s screened cages (45.7 by 38.1 by 38.7 cm) suspended intervals. Analyses of variance (SAS Institute 1988) 1.2 m above the ßoor in a linear array, 1 m apart. Cage were performed on fundamental (wing beat) frequen- 1 was 2.4 m from the door and cage 4 was 3.4 m from cies, a sound pressure level. Chi-square tests (Box et the air conditioner. An unbaited trap was suspended al. 1978) were performed on the proportions of ßying midway between cages 1 and 2. Moths were left un- and captured males in the wind tunnel bioassays. August 1999 MANKIN ET AL.: PHEROMONE TRAP ACTIVE SPACES 559

Table 1. Numbers of male P. interpunctella taking flight in wind tunnel and numbers captured with different combinations of pheromone traps and lures

No. Trap Lure Tested Flyinga Capturedb Pherocon II IMMϩ4312723 Pherocon II Minilure 38 26 15 SP-Locator Minilure 32 29 23 SP-Locator IMMϩ4333028

a ␹2 ϭ 9.10, df ϭ 3, P Ͻ 0.05. b ␹2 ϭ 21.9, df ϭ 3, P Ͻ 0.05.

Results and Discussion Wind Tunnel Bioassays. The wind tunnel bioassays of ßight activity and trap capture revealed signiÞcant differences among 4 combinations of AgriSense and Fig. 1. Comparisons of wing beat power spectra and Tre´ce´ traps and lures (Table 1). The major differences sound pressure levels of male P. interpunctella in the presence were reductions in the numbers of males taking ßight and absence of pheromone (frequency range, 0Ð500 Hz; and captured with the Minilure septa, possibly be- sound pressure level reference, 20 ␮Pa). cause Minilure emission rates were lower than the ϩ IMM 4 emission rates. pressure level at 5Ð8 cm distances, but the observed Gas chromatography measurements conÞrmed that differences in decibels greatly exceed these levels. the Minilure had a low emission rate of (Z,E)-9,12- The increase in power output was due primarily to the tetradecadien-1-ol acetate (ZETA), the primary pher- increased wing beat amplitude because the frequency omone component of P. interpunctella. There were no increased only slightly from 64 Ϯ 1.3Ð65.5 Ϯ 1.0 (t ϭ signiÞcant differences between measurements at 4 d 0.88, df ϭ 10, P Ͻ 0.39; not signiÞcant). and 10 d, so all measurements were pooled to obtain An increase in power output after exposure to pher- an average rate of 2.3 Ϯ 0.26 ng per septum per hour Њ omone is not surprising because ultrasonic communi- at 24 C. This rate is approximately the same as the cation has been implicated in P. interpunctella court- emission rate of ZETA from a female P. interpunctella ship. The reproductive performance decreases when (Sower and Fish 1975), and is much lower than the the tegulae that produce ultrasonic pulses are re- 10Ð100 ng/h levels typically used for monitoring in the moved from the male antennae or if the female tym- Þeld (e.g., Sanders 1981, Mitchell and Heath 1986, panums are pierced (Trematerra and Pavan 1995). Hendricks et al. 1987). Because of the low emission No signiÞcant positional effects (cages 1 and 2 at rate, the Minilure was expected to have a short at- 0.5 m) were expected, and none were detected (Table tractive range, and the SPÐLocator with Minilure com- 2). However, the initial Activity Level was signiÞcantly bination was tested further for its potential to pinpoint lower at 1.5 and 2.5 m than for cages 1 and 2 at 0.5 m the locations of infestations in a department store or (Table 2), and the amplitudes of wing beats were storage environment. similar to those observed in the absence of phero- Bioassays of Initial Activity. Male P. interpunctella in mone. This is to be expected if, on average, the pher- cages 0.5 m from a SPÐLocator trap with a Minilure omone concentration decreases at greater distances exhibited ßight and wing-fanning activity within 30 s from the trap (Mankin et al. 1980a, Murlis et al. 1992, after beginning a trial. The observed amplitudes of and see below). wing beats appeared elevated relative to their levels in Bioassays of Long-Term Activity. The temporal pat- the absence of pheromone. Thus, it was expected that terns of mean response to pheromone by P. interpunc- the aerodynamic power output, PO, which is propor- tella males in cages 1.5Ð5.5 m from the trap are shown tional to the cube of the wing beat frequency times the cube of the wing beat amplitude (Sotavalta 1963, Wilkin 1985), also would be increased relative to its Table 2. Activity Level (mean ؎ SE) of male P. interpunctella in cages at different distances from trap during the first 3 min after levels in the absence of pheromone unless it was coun- exposure to lure teracted by a change in the orientation of the wings. An increase in power output was conÞrmed by signal Cage Distance Activity level analysis of the acoustic recordings, examples of which No. from trap, m are shown in Fig. 1. The power output is proportional 1 0.5 19.22a Ϯ 2.75 to the square of the sound pressure (e.g., Beranek 2 0.5 16.89a Ϯ 3.76 1988). In this case, the mean sound pressure level 3 1.5 4.67b Ϯ 1.96 Ϯ increased from 51.2 Ϯ 3.7Ð79.2 Ϯ 0.8 dB over 0Ð500 Hz 4 2.5 1.78b 1.28 ϭ ϭ Ͻ (t 16.4, df 10, P 0.01). It should be noted that Mean values of activity level followed by same letter are not sig- the sound pressure level at closest approach, next to niÞcantly different by WallerÐDuncan K-ratio t-test (K-ratio ϭ 100, the cage, could be 6Ð8 dB higher than the sound P Ͻ 0.05, df ϭ 32, residual mean standard error ϭ 69.4). 560 ENVIRONMENTAL ENTOMOLOGY Vol. 28, no. 4

Fig. 2. Temporal pattern of mean response by P. interpunctella males in cages at different distances from pheromone trap: ϫ tT (time after start of trial), minutes; Percentage Flying or Fanning (10 number ßying or wing-fanning in cage at speciÞed 0.5-min interval).

ϭ ␲ Ϫ1 ͚ϱ Ϫ 2 ϩ 2␪2 in Fig. 2. Analysis of variance (ANOVA) revealed no C Q(2 dbrD) { n ϭ 1 [(dbh 1) db n] differences among counts in different 30Ðs intervals at Ϫ [d 2␪2 ϩ d h (d h Ϫ 1)] 1} either 4.5 m (mean ϭ 4.58 Ϯ 8.82; F ϭ 1.42; df ϭ 30, b n b b ␪ ␪ Ϫ Ϫ ␪ 2 589; P Ͼ 0.075) or 5.5 m (mean ϭ 2.13 Ϯ 6.25; F ϭ 1.35; [sin (r n)/ n][1 exp ( D nt)], [1] ϭ Ͼ df 30, 434; P 0.10), although slight peaks in the where ␪ is the nth positive root of the equation: ϭ n mean response can be seen near tT 5 min in both ␪ ϩ ϭ cases. F values for observations at 3.5, 2.5, and 1.5 m db cot (db n) dbh 1, [2] were 4.48, 6, and 10.42 (df ϭ 30, 589 and P Ͻ 0.0001), respectively. By this measure, responses are clearly Q is the emission rate of the pheromone source, D is present in observations of cages up to 3.5 m from the a diffusion coefÞcient that estimates the rate of pher- omone dispersal, V , is a deposition velocity that es- trap, but not in observations of cages at greater dis- d timates the rate at which pheromone deposits onto the tances. boundary, and h is the ratio Vd/D. According to equa- Pheromone Active Space. An objective of this study tion 1, the pheromone concentration is directly pro- was to determine the attractive range of the short- portional to the rate and duration of emission and range pheromone traps for P. interpunctella in en- inversely proportional to the distance from the source closed environments and compare the observed be- and the diffusion coefÞcient, but the exact propor- havior with the predictions of pheromone dispersal tionality depends on the position of the boundary and equations. Mankin et al. (1980a) derived methods to the rate of deposition to the boundary surface. predict the range of behavioral response over time in The pheromone dispersal equation can be adapted a spherical enclosure with a boundary at distance, db. for prediction of behavioral responses in the shed The pheromone concentration, C, at distance from the bioassays by making some assumptions about the source, r, at time, t, is predicted from the equation: boundaries of the shed, the pheromone diffusion co- August 1999 MANKIN ET AL.: PHEROMONE TRAP ACTIVE SPACES 561 efÞcient, and the relationship between the behavioral surements can be used as a basis for estimating a response and the pheromone concentration. We con- behavioral threshold in the shed bioassay, but the sider Þrst the estimates for these parameters and the thresholds cannot be speciÞed with the same opera- assumptions on which they were based, and then con- tional deÞnition in both cases. The pheromone con- sider the resultant predictions of the dispersal equa- centration was constant during the wind tunnel test- tion. ing periods, but it increased continuously during the Pheromone Deposition Velocity and Distance to shed bioassay testing periods.

Shed Wall. Calculations with different values for Vd One way to relate the response measurements in the ϭ and db (Mankin et al. 1980a) demonstrated that these 2 P. interpunctella bioassays is to set C TB and solve 2 parameters do not signiÞcantly affect the phero- for t in equation 1. The solution for t then provides an Ն mone concentration except for positions near a estimate of the initial time at which C TB at a boundary. Consequently, the concentrations near the speciÞed distance from the source. The initial time can cages and away from the shed walls can be calculated be measured in the shed bioassay as the time at which by approximating the shed as a sphere of large radius, the moths Þrst begin to respond in cages at different ϭ e.g., setting db 10 m, and setting the deposition distances from the pheromone trap. The background velocity to a representative value typical of phero- activity level was 2Ð4% (see discussion of Fig. 2 mone-wood or pheromone-vegetation interfaces, e.g., above), so we chose a level of 5Ð10% ßight activity in ϭ Vd 1 cm/s (Mankin et al. 1980a). a test cage as an indicator that the concentration had Pheromone Diffusion Coefficient. The diffusion co- risen above the behavioral threshold. efÞcient for pheromone dispersal can vary over a wide The behavioral threshold is dependent on many range from Ϸ0.03 cm2/s in completely still air to Ͼ0.5 different environmental variables, including temper- cm2/s under turbulent conditions (Bossert and Wilson ature. To account for this variation, we considered 2

1963, Mankin et al. 1980a). In these bioassays, the different representative values for TB in equation 1. conditions were approximately those of still air. Mankin et al. (1980b) measured the P. interpunctella Within 5 min after turning off the air conditioner, upwind anemotaxis threshold as 5.6 ϫ 10Ϫ7 ng/cm3 at plumes emitted from the smoke generator expanded 23ЊC and 6.7 ϫ 10Ϫ9 ng/cm3 at 34ЊC. The 27ЊC tem- slowly and did not move horizontally. Air velocity perature in the shed bioassays lies within the range of varied between 0.5 and 2 cm/s. However, these con- test temperatures. ditions are rarely encountered in a department store, Pheromone Lure Emission Rate. An estimate for and were not continuously present in the shed. In 10 the emission rate of the pheromone traps is provided tests where an observer walked past a hot wire ane- by the measurements of the Minilure average emission mometer probe, the air speed increased temporarily to rate (see wind tunnel bioassay section above), 2.3 4.12 Ϯ 0.17 cm/s and the wake created by the passage ng/h ϭ 6.39 ϫ 10Ϫ4 ng/s. There may be an initial ßush took 13 Ϯ 0.37 s to dissipate. In tests where the ane- of high pheromone emission when a fresh lure is mometer was replaced with a smoke generator probe, opened, so the actual emission rate could be greater the plume Þrst drifted away from the observer during than this value for a brief period when a new lure is 1st the approach, and then was sucked into a turbulent opened. wake and dispersed as the observer passed. The dif- Predicted Initial Time of Response. Fig. 3 shows the fusion coefÞcient would be large within the wake and predicted values for initial time of response at differ- smaller outside it. Operation of the air conditioner also ent distances from the pheromone trap at 23 and 34ЊC. caused the plume to move and disperse rapidly. The We checked these predictions by plotting the ob- air velocity increased rapidly to 20 Ϯ 5 cm/s within 30 s served times for 5 and 10% behavioral response on the after starting the air conditioner. Because the dispersal same graph. Although there is some uncertainty in the equation does not directly incorporate the effects of estimates for Q, D, and TB, the observed timing of variation in the diffusion coefÞcient over time, we initial response is in good agreement with the calcu- estimated a value of D in equation 1 based on average lated values. The pheromone dispersal equation thus conditions, intermediate between still air and turbu- has considerable predictive validity over a 15-min pe- lent convection extremes, Ϸ1cm2/s. The actual value riod in an enclosure with restricted air movement. could have been as low as 0.1 cm2/s during much of the In Fig. 3, the predicted and observed times of initial bioassay because the air conditioner was not in oper- response Þrst increase slowly and then rapidly with ation and the observers remained stationary. distance from the trap. Based on the distances at which Behavioral Threshold. The pheromone behavioral the response times at 23 and 34ЊC begin to increase threshold, TB, was deÞned by Bossert and Wilson asymptotically, we estimate the active space of the (1963) as a minimum detectable concentration. Its traps in the shed at 27ЊC to be 4Ð5 m within 3Ð6 min magnitude depends somewhat on the type of bioassay after the start of a trial. After this initial phase of and the speciÞcation of the criterion used to distin- responsiveness, however, the active space decreases guish the pheromonal response from background. in size as discussed in the next section. Mankin et al. (1980b) measured the P. interpunctella Habituation of Response. The percentage of ßying behavioral threshold by conducting wind tunnel bio- or wing-fanning P. interpunctella rose to maximum assays at several different concentrations and 2 tem- levels within 2Ð5 min after initial exposure to phero- peratures, specifying TB as the concentration at which mone (Fig. 2) and then declined in an exponential 50% ßew upwind during a 3-min period. Those mea- pattern in cages at 1.5, 2.5, and 3.5 m from the trap. The 562 ENVIRONMENTAL ENTOMOLOGY Vol. 28, no. 4

Fig. 3. Predicted time for pheromone concentration to reach behavioral response threshold levels at 23 and 34ЊC, and observed times for 5 and 10% of P. interpunctella males at 27ЊC to respond in cages at different distances from pheromone trap: Distance from Trap, centimeters; Initial Time for Behavioral Response (time when predicted concentration initially exceeds threshold or time when percentage response initially exceeds speciÞed level), minutes.

essential characteristics of an exponential decline pat- pheromone responses were similar for all 3 cages, ␶ tern are described by its halfÐlife H, or time for de- 2.25Ð3.25 min. Because these patterns of decline were cline to 50% of maximal activity. To calculate the similar, the activities in the closer cages to the trap halfÐlife for habituation, the behavioral responses always remained higher than in cages farther from the were Þtted to the equation: trap. It thus can be argued that the sooner a moth ϭ Ϫ passes close to a trap, the more likely it is to search long Activity AM exp ( tN/tR), [3] enough to enter the trap. where t and t are mathematically dimensionless -N R Table 3. Estimated parameters (mean ؎ SE) in equations de parameters describing the time course of the behav- scribing the decrease in activity of male P. interpunctella after ioral response. SpeciÞcally, tT is time after start of trial initial exposure to lure in min, Activity is the mean number responding at t /mean number responding at t ,t is the time of Distance Max activity, 1/Relaxation, Half-life, No. of Resid T m m ␶ from trap, m AM 1/tR H reps. mean SE maximum response, tf is the total duration of the trial ϭ Ϫ Ϫ Ϯ Ϯ (in this test, 15 min), tN [tT tm]/[tf tm], AM is 1.5 0.89 0.03 2.67 0.16 3.25 23 0.003 the maximum activity level, and t is a regression 2.5 0.93 Ϯ 0.05 3.81 Ϯ 0.33 2.25 23 0.005 R Ϯ Ϯ coefÞcient called the relaxation time. The half life and 3.5 0.91 0.01 3.12 0.20 2.57 23 0.003 ␶ ϭ the relaxation time are related by equation: H ln(2) ϭ Ϫ Ϫ Regression equation: activity AM exp ( tN/tR); with tT (time (tR)(tf tm). Parameters estimated by PROC NLIN after start of trial), minutes; activity (normalized as [mean number (SAS Institute 1988) are listed in Table 3 for activity ßying at tT]/[mean number ßying at tm], where tm is the time of levels 1.5Ð3.5 m from the trap, and the resultant ha- maximum response), dimensionless; tf (total duration of trial), 15 min; ϭ Ϫ Ϫ bituation curves are shown in Fig. 4. tN (normalized time [tT tm]/[tf tm]), dimensionless; AM (maximum activity level), dimensionless; tR (normalized relaxation The regression estimates for maximum activity and ␶ time), dimensionless; H (half-life, i.e., interval needed for relaxation relaxation time overlapped, and the half lives of the to 50% of maximal activity), minutes. August 1999 MANKIN ET AL.: PHEROMONE TRAP ACTIVE SPACES 563

Fig. 4. Regression equation predictions and observed values for decline from peak mean response by P. interpunctella males in cages at different distances from pheromone trap: tT (time after start of trial), minutes; Percentage of Maximum ϫ Response ([100 mean number responding at tT]/[mean number responding at tm], where tm is the time of maximum response), minutes.

Incorporation of Habituation into the Pheromone At all cages, the concentration rises steadily after the Dispersal Equation. The original derivation of the start of pheromone emission. Behavioral responses pheromone dispersal equation in Mankin et al. appear after the concentration Þrst rises above the (1980a) did not take into account the effects of ha- behavioral threshold. At Þrst, the number of insects bituation, but the results of this and other studies responding in the cage increases as the pheromone ␶ suggest how the habituation of responsiveness could concentration increases, but after a H of 2Ð3 min, the be incorporated into equation 1. The initial part of the behavioral threshold also begins to increase. The num- response pattern in Fig. 2 is clearly consistent with ber of responding insects begins to decrease when the equation 1, which predicts that the pheromone con- behavioral threshold rises past the pheromone con- centration is highest at cages closest to the trap. The centration level at the cage. Note also that on average, responses in the nearest cages to the trap are always the time for the threshold to rise above the higher greater than the responses farther from the trap. Equa- concentrations present at the closest cages will be tion 1 does not predict that the response in each cage longer than the time to rise above the lower concen- will decline after an initial peak, but such results are trations at the farthest cages, so the response will consistent with the hypothesis of Mafra-Neto and decline to background levels at the farthest cages 1st. Baker (1996) that brief exposure to pheromone tem- This is the same pattern seen in Fig. 2. porarily raises the behavioral threshold but does not Behavioral Basis for Effectiveness at Spatial Target-

reduce the overall responsiveness. If we change TB ing. A goal of this study was to gain some insight into from a constant to a slowly increasing function of time the behavioral basis for the observed effectiveness of after the beginning of pheromone stimulation, equa- pheromone traps in targeting moth infestations in de- tion 1 predicts the following sequence of changes in partment stores (Arbogast and Mankin 1997), facto- pheromone concentrations and behavioral responses. ries (Bowditch and Madden 1996), and warehouses 564 ENVIRONMENTAL ENTOMOLOGY Vol. 28, no. 4

(Vick et al. 1986, Pierce 1994). In these and other Acknowledgments studies, traps spaced as closely as 2Ð3 m apart captured We thank Betty Weaver, Shahpar Chini, Everett Foreman, different numbers of moths consistently, and the num- Oscar Molina, and M. S. Mayer (Center for Medical, Agri- bers correlated with observed centers of infestation. cultural and Veterinary Entomology, Gainesville, FL) for The results in this report help to quantify the factors technical assistance and advice. that contribute to the effectiveness of these traps. First, the low emission rate of lures in commercially available storedÐproduct insect traps results in an ini- References Cited tially reduced active space of Ϸ4 m. Then, because of the low rate and high directional variability of air Arbogast, R. T., and R. W. Mankin. 1997. Trapping and spa- movement in enclosed facilities, the searching moth is tial analysis for precision targeting of storage pests in large not usually able to take advantage of well-deÞned retail stores, pp. 51Ð52. In G. L. Obenauf and A. Williams pheromone Þlaments and wind direction cues that [eds.], Proceedings, 1997 Annual International Research extend the length of the active space in Þeld condi- Conference on Methyl Bromide Alternatives and Emis- sions Reductions, 3Ð5 November 1997. Methyl Bromide tions (e.g., MafraÐNeto and Carde´ 1994, Fadamiro Alternatives Outreach, San Diego, CA, Methyl Bromide and Baker 1997). If, because of these reduced orien- Alternatives Outreach, Fresno, CA. tational cues, the moth is unsuccessful in Þnding the Arbogast, R. T., D. K. Weaver, P. E. Kendra, and R. J. Brenner. source within a few minutes, the response to phero- 1998. Implications of spatial distribution of insect popu- mone begins to habituate. This reduces the active lations in storage ecosystems. Environ. Entomol. 27: 202Ð space further down to 2Ð3 m. 216. Habituation can be a reproductively advantageous Bartell, R. J., and L. A. Lawrence. 1973. Reduction in re- behavior because the ßight patterns of mate seeking sponsiveness of Epiphyas postvittana (Lepidoptera) to male moths are energetically expensive. The aerody- sex pheromone following previous brief pheromonal ex- posure. J. Insect Physiol. 19: 845Ð855. namic power expended in level ßight has been esti- Ϸ Bartell, R. J., and L. A. Lawrence. 1977. Reduction in re- mated to be 10% of the total metabolic rate in the sponsiveness of male apple moths, Epiphyas postvittana, locust (Wilkin 1985). The relative power output dur- following pulsed pheromonal exposure. Physiol. Ento- ing periods when the wing beat amplitude is large is mol. 2: 1Ð6. greater than in ßight where the insect is not rapidly Beranek, L. L. 1988. Acoustical measurements. American changing direction or height. Consider also that in Institute of Physics, Woodbury, NY. related stored product insects (Mankin and Hagstrum Bossert, W. H., and E. O. Wilson. 1963. The analysis of 1995), high levels of pheromone stimulation can trig- olfactory communication among animals. J. Theor. Biol. 5: 443Ð469. ger a pattern of intensive, restricted search during Bowditch, T. G., and J. L. Madden. 1996. Spatial and tem- which less area is covered per unit time than in the poral distribution of Ephestia cautella (Walker) (Lepi- absence of pheromone. If the stimulated moth does doptera: Pyralidae) in a confectionery factory: causal not pass into a region of even higher concentration factors and management implications. J. Stored Prod. Res. closer to the pheromone source within a 5- to 10-min 32: 123Ð130. period, there is a strong likelihood that it is not near Box, G.E.P., W. G. Hunter, and J. S. Hunter. 1978. Statistics the source, and it would be advantageous to reduce for experimenters. Wiley, New York. energy expenditure and extend the search pattern to Brenner, R. J., D. A. Focks, R. T. Arbogast, D. K. Weaver, and D. Shuman. 1998. Practical use of spatial analysis in pre- cover more territory. cision targeting for integrated pest management. Am. Because of the reproductive advantages of such be- Entomol. 44: 79Ð103. havior, this pattern of increase in the behavioral thresh- Carde´, R. T. 1990. Principles of , pp. 47Ð92. old over time may occur for other insects in addition to In R. L. Ridgway, R. M. Silverstein, and M. N. Inscoe P. interpunctella and C. cautella (Mafra-Neto and Baker [eds.], Behavior-modifying chemicals for insect manage- 1996). The time courses of habituation in Anagasta ment. Applications of and other attractants. kuehniella (Zeller) (Traynier 1970) and Trichoplusia ni Marcel Dekker, New York. (Hu¨bner) (Shorey et al. 1967) were similar to the pattern Carde´, R. 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