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Anales de Biología 28: 101-108, 2006 An approximation to the prediction of the summery emergence of Ochlerotatus caspius (Diptera: Culicidae) based on the relationship between degree-days accumulations and adult captures Roberto del Tío 1 , Esperanza Cano 2 and José.Luis Martínez 3 1 IES Andrés Benítez, Avda. Doctor Fleming s/n, 11407 Jerez de la Frontera, Cádiz, Spain. 2 Departamento de Fisiología y Zoología, Facultad de Biología, Universidad de Sevilla, C/ Profesor García González 6. 41012 Sevilla, Spain. 3 Departamento de Ingeniería Eléctrica, Escuela Superior de Ingenieros, Universidad de Sevilla, Avda. de los Descubrimientos s/n. 41092 Sevilla, Spain. Resumen Predicción de la emergencia estival de Ochlerotatus caspius (Diptera: Culicidae) basada en la relación entre la acumulación de días-grado y la captura de adultos. Ochlerotatus caspius (Pallas) (Diptera, Culicidae) es el culícido más abundante durante el verano en las marismas de Huelva. Este estudio demuestra que la relación entre capturas de adultos, convertidas en probit, y la acumulación de temperatura o número de días-grado, convenientemente adaptada mediante a una transformación logarítmica, muestra ser signifi cativamente lineal para cada generación de este mosquito a lo largo de cada verano. Además, si se procesan todos los datos disponibles de todos los años considerados en el estudio se obtiene una alta correlación lineal y, en consecuencia, las ecuaciones resultantes poseen valor predictivo. Los resultados de la validación de los pronósticos que se extraen de las rectas de regresión log-probit, permiten que se puedan considerar estas rectas como una herramienta más de cara a aumentar la efi cacia de los programas de control integrado que se llevan a cabo en esta zona. Palabras clave : Ochlerotatus caspius , Días-grado, Modelo predictivo, Culicidae, Mosquito. Abstract Ochlerotatus caspius (Pallas) (Diptera, Culicidae) is the most abundant Ochlerotatus caspius (Pallas) (Diptera, Culicidae) is the most abundant Ochlerotatus caspius culicidae during the summer in the Huelva Marshes (SW of Spain). This study proves that the relationship between adult captures, turned to probit indexes, and temperature accumulations or degree-days, conveniently modifi ed by a logarithmic transformation, shows to be signifi cantly linear for each generation of this mosquito throughout the year. Jointly processing all data of the available years also results in a high linear correlation, statistically signifi cant, and, consequently, the proposed equations have predictive value. The reliability of the forecast based on the resulting log-probit have shown to be acceptable in order to be considered as an useful tool to improve the effectiveness of the integrated pest management in the area. Key words : Ochlerotatus caspius , Degree-days, Log-probit linear regression, Forecasting model, Marshes, Culicidae, Mosquito. Correspondence : E. Cano email: [email protected] Tel.: 954 556178 Fax: 954 233480 Received: 5 september 2006 Accepted: 24 november 2006
102 R. del Tío et al. Anales de Biología 28, 2006 Introduction Ochlerotatus caspius (Pallas) is a well-known, prominent pest widely distributed in the Paleartic Region. Its larvae are primarily halophilic, with occasional occurrences in fresh water. The biological characteristics of this insect have been extensively studied due to its potential as a disease vector. The Marches of Huelva is an area of special attention for mosquitoes control. It is an area of river and sea fl oods corresponding to the mouths of the rivers Guadiana, Carreras, Piedras, Odiel and Tinto, with a remarkable geographical and ecological interest. The natural drainage of the marches has been long affected by new settlements and industrial estates, resulting in new areas susceptible of larvae focuses. As a consequence, several population explosions of mosquitoes have taken place since 1960, worsened by the important increment of human population in the area. Both local and national authorities had to implement countryside preservation measures as well as pest control strategies, still in progress. Among other culicidae common in the area, Oc. caspius is the most problematic species due to its persistent summer population explosion (López 1989). In this context, this paper presents the application of a classical, simple forecasting tool to the emergence of the adults of Oc. caspius , aiming at improving the control programmes in use in the area. The objective is to characterise the relationship that exists between the catches of adults using light traps and the temperature accumulations or degree-days. The proposed technique is based on the computation of temperature accumulations in order to obtain the correlation with trap catches of adults of Oc. caspius . In spite of the limitations of the used traps, a direct relationship between the number of catches of adults and their rate of emergence, the latter being directly infl uenced by the heat that the insect received during developmental stages, has been assumed. This correlation has been reported by several authors, mainly differing in the way that temperature accumulations are computed. The relationship between temperature accumulations and trap catches, conveniently transformed, has also been demonstrated to be highly linear when obtained for other insects, especially Lepidoptera, and has been used to make predictions about the development of the insects whose development is mainly infl uenced by temperature, and to make decisions regarding pest control (Potter & Timmons 1983, Ahmad & Ali 1995, Judd & Gardiner 1997, Del Tío et al. 2001). Material and Methods Area of Study: The study was carried out over the Aljaraque Municipality (PB760273, PB762271, PB761269). This area of the marshes suffers from a strong seasonality, with humid winters and dry summers in which the water only persists in the largest ponds. Seasonal rhythms become fortnightly during spring and autumn due to the infl uence of strong tides that produce progressive fl oods. Despite the building of several roads in the area, the natural drainage has been preserved. Capture data compilation: Data ranging from 1994 to 1996, provided by regional government (Diputación de Huelva), have been used in this study. Nine actinic light (6 w) traps with adhesive, transparent sheets were used to capture adult specimens. Traps were inspected daily during the three years. Data processing: Using the capture data from all the traps, a fl ight curve was obtained for every year (Fig. 1). Before computing the temperature accumulations, the analysis of capture data and fl ight curves revealed that, in practice, annual captures correspond to the emergences of three different generations, taking also into account the available information about the life cycle of this species in the area. A program based on the work of Allen (1976) was used in order to compute temperature accumulations. This program considers the evolution of the temperature of the air as a sinusoidal function throughout the day. Temperature data were provided by the Meteorological Service of Western Andalusia (Centro Meteorológico de Andalucía Occidental y Ceuta, Instituto Nacional de Meteorología, Spain). Degreedays were computed using a lower threshold of 4°C and an upper threshold of 32°C, according to the life cycle of this species in these latitudes (López 1989). Computation of degree-days corresponding to the fi rst emergence starts from the 1st of January. For the rest of considered emergences, computations always start from the date when 50% of captures from the previous emergence are registered. In fact, the period required for the captures to amount to 50% is approximately the same as the period between the appearance of the fi rst adults and the laying of eggs which begins the
Anales de Biología 28, 2006 Approaching to predict adult activity of Och. caspius in Spain 103 Figure 1. Summery captures of Oc. caspius in the target area during 1994, 1995 and 1996. The estimated separation of the three fl ights considered is also shown Figura 1. Capturas estivales de Oc. caspius durante 1994, 1995 y 1996. También se muestra la parte del vuelo correspondiente a cada generación considerada. �� �������� ���� � �� �� �� �� ��� ��� ������������� ���� � �� �� �� �� ��� ��� ������������� ���� � �� �� �� �� ��� ��� ��������������� ������������� ���������� ���������� ���������� ���������� ���������� ���������� ���������� ���������� ���������� ������� �� ����� ������� ������� �� ����� ������� ������� �� ����� ������� next generation, as shown by the life cycle of this culicidae in the area (Sinegre 1974, Gabinaud 1975, López 1989). Finally, annual linear equations corresponding to a weighted-least-square correlation between the percentages of total catches throughout the corresponding period, turned into probit indexes, and the logarithms of temperature accumulations (i.e., degree-days), were obtained to avoid the sigmoidal distribution of the data. The characteristic emergence equations of the area, computed by processing all available data for each emergence, have also been determined. Results Table 1 presents the log-probit linear equations that express, for each of the three main emergences considered, and for the 3 years, temperature accumulations versus adult captures with traps.
104 R. del Tío et al. Anales de Biología 28, 2006 Flight Year Regression line d. f. F C.I. r SE Y Intercept Slope 1º 1994 y=16,3639x - 48,8210 21 26,41 -59,204 to -38,438 13,180 – 19,548 0,7464 0,8560 1995 y=19,3222x - 57,9480 12 30,53 -69,365 to -46,532 15,825 – 22,819 0,8473 0,8901 2º 1994 y=10,5859x - 22,9845 17 93,68 -25,819 to -20,130 9,492 – 11,679 0,9200 0,6009 1995 y=16,3072x - 40,5682 16 300,99 -43,213 to -37,924 15,367 – 16,960 0,9744 0,3857 1996 y=15,9312x - 36,0021 6 146,66 -39,445 to -32,559 14,616 – 17,247 0,9802 0,3158 3º 1994 y=7,4638x - 15,8830 32 202,25 -17,352 to -14,410 6,939 – 7,989 0,9292 0,5175 1995 y=9,4443x - 21,4325 18 97,13 -24,190 to -18,675 8,486 – 10,403 0,9185 0,4535 1996 y=17,7081x - 45,0920 10 51,04 -52,197 to -37,987 15,229 – 20,187 0,9144 0,6612 Table 1. Log-probit linear equations showing temperature accumulations versus adult captures. ( d.f. = degrees of freedom; F = F value; r = correlation coeffi cient; SE = standard error; C.I . = confi dence intervals; x = log degree-days; y = probit). Tabla 1.- Ecuaciones lineales (log-probit) de la relación obtenida entre las capturas de adultos y la acumulación de días-grado (d.f. = grados de libertad; F = valor de F; r = coefi ciente de correlación; SE = error standard; C.I. = intervalo de confi anza; x = log días-grado; y = probit). Flight Regression line d. f. F C.I. r SE Y Intercept Slope 1º y=17,8781x-53,5598 35 55,63 -61,379 to -45,740 15,4812-20,2750 0,7835 0,8877 2º y=7,9388x-16,2871 43 52,79 -19,233 to -13,341 6,8460-9,0314 0,7424 1,0679 3º y=8,4572x-18,6249 64 261,41 -20,108 to -17,142 7,9341-8,9802 0,8963 0,6122 Table 2. Regression equations (temperature accumulations-adult captures) obtained by processing all available data. ( d.f. = degrees of freedom; F = F value; r = correlation coeffi cient; SE = standard error; C.I . = confi dence intervals; x = log degree-days; y = probit). Tabla 2. Rectas de regresión lineal entre las capturas de adultos y la acumulación de días-grado realizadas con los datos anuales para cada vuelo (d.f. = grados de libertad; F = valor de F; r = coefi ciente de correlación; SE = error standard; C.I. = intervalo de confi anza; x = log días-grado; y = probit). In all cases, linear correlations were statistically signifi cant, with a 5% confi dence level, presenting F values much higher than the confi dence threshold. Note that, due to the extremely low number of captures corresponding to the fi rst fl ight of 1996 (Fig. 1), the regression has not been performed, although these data have used as the starting point of successive fl ights. Correlation coeffi cients, r , are quite high, specially in the regressions of the second and third fl ights, with values over 0.9 in all cases. Furthermore, standard errors are very low and confi dence intervals are quite small, specially for the second and third fl ights. Consequently, the statistical signifi cance of the correlations shows that the relationship between the catches of adults turned to probit and the logarithms of temperature accumulations proves to be highly linear. In order to increase the reliability of the average levels of temperature accumulations when the emergences took place, all available data were then reprocessed, except for the fi rst emergence of 1996. The corresponding linear equations are presented in Table 2 and Fig. 2 to 4. In general, global correlation coeffi cients, r , are quite high and standard errors low. Confi dence intervals are also small, mainly for the third fl ight. Both the equations and correlation coeffi cients of fi rst and third generations are very similar to the ones obtained for the different years. Only the second fl ight presents correlation coeffi cients rather different from the ones obtained for the different years. In any case, the relationship between the accumulated temperature and adult captures, conveniently transformed, reveals a strong linear performance in
Anales de Biología 28, 2006 Approaching to predict adult activity of Och. caspius in Spain 105 Figure 2. First fl ight linear regression of trap captures of Oc. caspius (probit) versus degree-days accumulation (log). Probit (y) = 17,8781x- 53,5598. Figura 2. Recta de regresión para el primer vuelo de Oc. caspius (probit) capturados frente a la acumulación de días-grado (log). Probit (y) = 17,8781x-53,5598. Figure 3. Second fl ight linear regression of trap captures of Oc. caspius (probit) versus degree-days accumulation (log). Probit (y) = 7,9388x - 16,2871 Figura 3. Recta de regresión para el segundo vuelo de Oc. caspius (probit) capturados frente a la acumulación de días-grado (log). Probit (y) = 7,9388x - 16,2871 �� �������� � � � � � � � � � � ����� ����������������� ������ �� �������� � � � � � � � � � � � � � � � ����������������� ������
106 R. del Tío et al. Anales de Biología 28, 2006 Figure 4. Third fl ight linear regression of trap captures of Oc. caspius (probit) versus degree-days accumulation (log). Probit (y) = 8,4572x - 18,6249. Figure 4. Recta de regresión para el tercer vuelo de Oc. caspius (probit) capturados frente a la acumulación de días-grado (log). Probit (y) = 8,4572x - 18,6249. �� �������� � � � � � � � � � � � � � � � ����������������� ������ Flight Degree-day accumulation 10% captures 50% captures 95% captures First predicted values observed values (mean) error 1598.89 1544.60 54.29 1885.84 2065.25 179.41 2330.83 2202.90 127.93 Second predicted values observed values (mean) error 331.10 389.23 58.13 480.18 512.47 32.29 773.74 693.67 80,07 Third predicted values observed values (mean) error 438,46 495.30 56.84 621.54 661.13 39,59 972.66 962.67 9.99 Table 3. Comparison between predicted and observed values of degree-day accumulations corresponding to 10%, 50% and 95% of captures. Tabla 3. Comparación de los valores observados y estimados de la acumulación de días-grado para el 10%, 50% y 95% de las capturas.
Anales de Biología 28, 2006 Approaching to predict adult activity of Och. caspius in Spain 107 all cases, and, considering that for every fl ight the F value was much higher than the 5% confi dence threshold (Table 2), the proposed equations have predictive value on Oc. caspius adult emergences in the area. Finally, in order to present a preliminary quantification in days of the expected errors, Table 3 compares the mean degree-day accumulation values corresponding to 10, 50 and 95% of captures, to the predicted ones. As expected, the highest errors correspond to the considered fi rst fl ight, and the lowest to the third. Notice that the fi rst fl ight requires a higher accumulation of degree-days owing to a much longer period of time, starting on the 1 st of January, and st of January, and st that temperatures during the third emergence were much higher than during the fi rst. Consequently, the errors in degree-days correspond to 0-2 days for the considered third fl ight and 2-4 days for the second, being a bit larger for the fi rst fl ight. Consequently, despite the need of further validation, the differences between the degree-day forecast and the observed values would be acceptable to schedule measures to control this species. Discussion The linear relationship between temperature accumulations and trap catches of Oc. caspius , conveniently transformed, has shown to be statistically signifi cant. As a result, the equations obtained by correlation (Table 2) could be used as another helpful tool in the control programmes that are being implemented in the area, specially to predict adult emergences, taking into account that the rate of development is predominantly directed by temperature, and that accurate information about the life cycle of this insect is needed in order to improve the effi ciency of control methods. The choice of the moment from which to start computing the degree-days was the main cause of uncertainty. This is especially important in the case of the fi rst generation, for which there is no reliable data for 1996, and whose corresponding degree-days are computed starting from an arbitrary date (1 st of January) which does not refl ect any defi nite biological event. This source of uncertainty is reduced in the cases of the second and third generations by adding up the degree-days from the moment when 50% of the previous adult emergence had been reached. The second fl ight, however, presents more dispersed results when data of all years are jointly considered, which affected the correlation coeffi cient, as has been previously commented. The low number of data for 1996 might have lightly distorted the results (see Fig. 1). In general, it must be noticed that there are different behaviours of the populations, different requirements of degree-days to complete the second fl ight. However, in order to justify this result, some additional facts about this species should also be considered such as the eggs being laid on the soil, and that hatching only takes place after fl ooding. These facts have not been indeed considered in the proposed model to compute the fl ight curves, and yearly variations on the fl ooding in the area may infl uence the number of degree-days required to complete the life cycle of this species. Obviously, these infl uences, which might explain the errors on the second fl ight with respect to the fi rst and the third fl ights, can be internalised by incorporating data of more years. Furthermore, if samplings were implemented taking into account the well-known infl uence of several factors such as the saltness, the organic content of the soil, plant species associations and vegetation community composition (Metge & Hassaine 1998, Franquet et al. 2002), even the possible capability of regulating the density of natural populations of the crowding (Gleiser et al. 2000), the degree of uncertainty would surely decrease and results would probably improve. On the other hand, and in contrast with previous, similar studies on different insects, this study presents the added diffi culty of larval and pupal stages taking place under water. However, as these phases always imply a close contact with the air, computations have been performed without including corrections for any phase of the cycle. Besides, degree-day accumulations have shown to be useful to predict the emergences of other species of the Aedes genus, only using the temperature of the air (Teng & Apperson 2000). The obtained results may be improved by reducing the inherent degree of uncertainty (e.g., starting degree-day computations in dates determined by biological events and adding more sampling data). However, the high degree of linear correlation between the considered variables, and the statistical signifi cance of the results presented show that the proposed technique is reliable and can be used for prediction. Finally, the simplicity of the proposed technique and the fact that several reported studies have also shown the usefulness of similar methodologies applied to improve pest control (Cravedi & Mazzoni 1994, Ahmad et al. 1995) aim at the need of including this technique in the studies being carried out in the Huelva Marshes, and to its possible application in mosquitoes pest control. Acknowledgments The authors would like to acknowledge the invaluable help of Francisco Cáceres Benavides in fi eld works.
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