Behavioral Ecology doi:10.1093/beheco/ari046 Advance Access publication 13 April 2005 The role of wind in passerine autumn migration between Europe and Africa Birgit Erni, Felix Liechti, and Bruno Bruderer Swiss Ornithological Institute, CH-6204 Sempach, Switzerland Large ecological barriers such as oceans and deserts have considerably shaped the migratory strategies of birds. The ecological barriers posed by the Alps, the Mediterranean Sea, and the Sahara seem to prevent most long-distance migrants from flying on a direct southward course from Europe to Africa. Migratory routes toward southwest and southeast prevail. These two flyways differ with respect to topography, refueling possibilities, and wind conditions. Aiming at a better understanding of the evolution of both flyways in spite of differing conditions, we studied potential survival of passerine birds on their first autumn migration from northern Europe to tropical Africa by means of a computer simulation. Considering real wind conditions at 850 mb (approximately 1500 m above sea level), the survival rates of birds with southeasterly (SE) migratory directions were much higher than those of birds with southwesterly (SW) directions. With the possibility to choose the altitude (from four levels) with the most favorable wind, both SE and SW migrants had similar high survival, but only with refueling opportunities in northwest (NW) Africa for SW migrants. Our results suggest that the southwestern flyway depends on the selection of days, but especially altitudes, with favorable wind conditions and on refueling opportunities in NW Africa. The SE flyway is privileged by the frequent favorable wind conditions for crossing the eastern Mediterranean Sea and the Egyptian desert, where refueling sites are almost absent. Both autumn migration routes would be unlikely without wind assistance. Key words: autumn migration, ecological barriers, migration routes, passerine migration, Sahara, simulation, wind. [Behav Ecol 16:732–740 (2005)] ost long-distance bird migrants have to cross or circumvent large ecological barriers such as oceans and deserts, for example, Gulf of Mexico and Sahara. The European-African bird migration system is particularly suitable for the study of behavioral adaptations to difficult ecological conditions for several reasons: three ecological barriers of different severities (the Alps, the Mediterranean Sea, and the Sahara Desert) are arranged one after the other across the shortest possible migration route between Central Europe and the African Savannahs. Ring recovery data suggest that direct southward migration is rare (Zink, 1973–1985; Zink and Bairlein, 1995). Most long-distance migrants from Western Europe migrate in southwesterly (SW) directions toward West Africa. The number of species and populations taking southeasterly (SE) routes increases with longitude. Even within species, westerly populations usually migrate SW, while their easterly conspecifics take the SE route, resulting in a so-called migration divide for such species in Europe, even if their winter quarters in Africa converge. One hypothesis is that the (recent) ecological conditions induced by the barriers would be sufficient to cause the evolution of the two different flyways, even if the original bird populations started with southerly directions (e.g., Alerstam, 2001). A second hypothesis is that the existence of the two main flyways is not the result of recent evolution: vegetation history since the last glaciation some 20,000 years ago (e.g., Frenzel et al., 1992) suggests that the avian colonization of Europe started mainly from refugia in the western and eastern Mediterranean, circumventing the Alps, where the recovery from glaciation took longer than in the plains. Birds might M Address correspondence to B. Erni, who is now at the Department of Mathematics and Statistics, P.O. Box 3045 STN CSC, University of Victoria, Victoria, British Columbia V8W 3P4, Canada. E-mail: [email protected]. Received 10 December 2003; revised 1 March 2005; accepted 15 March 2005. The Author 2005. Published by Oxford University Press on behalf of the International Society for Behavioral Ecology. All rights reserved. For permissions, please e-mail: [email protected] follow such ancient routes of range expansion to move between breeding and nonbreeding ranges (Bruderer, 1997; Sutherland, 1998). Many migration divides in Europe would be in line with such an explanation, and some migratory routes are hard to explain otherwise (examples in Bruderer, 1997; Sutherland, 1998). Several studies have pointed out the likely importance of favorable wind conditions for successful migration, especially for crossing ecological barriers: for example, migration of waders from West Africa to western Europe in spring (Piersma and van de Sant, 1992) and from Australia to Asia (Tulp et al., 1995) and migration of waders and passerines from North America to South America (Butler et al., 1997; Nisbet et al., 1995; Richardson, 1980; Stoddard et al., 1983; Williams et al., 1974). Very few studies have investigated the feasibility of a chosen migration route compared to alternative routes. While satellite tracking has shed significant light on the migration of large birds, such as storks, cranes, ducks, geese, and raptors (Berthold, 2001, and references therein), knowledge of the long-distance migration of small passerines remains scarce, being mainly restricted to studies performed at stopover sites close to or within ecological barriers (e.g., Bairlein, 1992; Biebach, 1995; Schaub and Jenni, 2000). As it is difficult to follow evolutionary processes in the field, particularly if they involve phenomena taking place on a continent-wide scale, we chose computer simulations to explore the evolutionary potential of migratory behavior in relation to environmental factors. We simulated the first autumn migration of small passerines migrating from northern/central Europe to south of the Sahara. In a previous study, we analyzed the influence of stopover behavior and flight rules on the prospective survival rates of simulated migrating birds (Erni et al., 2003). For the present study, we extended this previous model by integrating wind patterns migrants encounter en route. This allowed us to explore the role of wind patterns in the evolution and retention of possible flyways as well as the possible benefit of behavioral adaptations to wind conditions. Erni et al. • Wind in passerine autumn migration Figure 1 Map of Europe and North Africa with topographical features used in simulations. It is for illustrative purposes only, with 1 longitude and 1 latitude of equal length throughout. Shaded areas represent the Alps and the Sahara Desert, and black dots represent islands, where refueling was assumed possible throughout the grid cell. Arrows represent monthly long-term mean wind vectors for September at a pressure level of 850 mb (approximately 1500 m a.s.l.), with the direction of the arrow representing wind direction; the length of the vector is more an indication of the variability of wind conditions than mean wind speed, short vectors indicating variable conditions; data from NOAA–CIRES Climate Diagnostics Center: http:// www.cdc. noaa.gov/cdc/reanalysis/. Only every second wind vector of the original data is depicted here. The inset gives a scale for the vector lengths. Two tracks of successful birds are indicated, one with migratory flight direction 207 and the other with 160 . Both these had an orientation error of 15 . METHODS We extended the simulation model of Erni et al. (2003), adding wind patterns and enlarging the geographic area considered slightly toward the east (Figure 1). Model birds were assigned parameters representing strategies (e.g., endogenous direction ¼ genetically determined flight direction) and state variables (e.g., fuel level and geographic position). The model birds ‘‘migrated’’ over the simulated environment, a two-dimensional representation of real topography, refueling conditions, and wind (Figure 1). We focused on the migration of first-year nocturnal passerine migrants. Many of our assumptions are based on estimates for the garden warbler, Sylvia borin (e.g., flight range, fuel deposition rates). This species is a common passerine long-distance migrant of average size, used previously as a basis for model predictions (e.g., Klaassen and Biebach, 1994). Smaller birds would have a shorter flight range with a given fuel load but higher refueling rates (Lindström, 1991). Changing these parameters could influence the survival rates calculated in our simulations but is unlikely to change our main results and conclusions. Topography, refueling conditions, and geomagnetism The environment was modeled as a two-dimensional grid map with resolution 1 latitude by 1 longitude, defined between 65 N to 0 N and 22 W to 53 E (Figure 1). This grid map consisted of four layers: topography, refueling rates, magnetic declinations, and wind. A topographical map formed the first layer; each grid cell was assigned one of the following topographical features: land, desert, semidesert, water, coastline, 733 Alps, island, or northwestern Africa. Coastlines were defined to lie in a NW–SE, NE–SW, N–S, or W–E direction. To each of these grid cells we assigned a fuel deposition rate, determining the rate of mass gain relative to lean body mass (g/day/lbm ¼ grams per day as a proportion of lean body mass) for a bird stopping over in that grid cell. Fuel deposition rates were randomly assigned at the beginning of each simulation to land and coastline grid cells (except where the coastline coincided with the desert, in which case it was assigned a zero fuel deposition rate; shaded area in Figure 1) from a uniform distribution with limits 0.01 and 0.09 g/day/ lbm, a range observed in migrating passerines (Lindström, 1991). The lower limit was set at 0.01 g/day/lbm rather than zero because we assumed that in a land grid cell of approximately 100 by 100 km a passerine migrant will always find some refueling opportunities. Exceptions are specialized feeders that rely on patchily distributed resources. Fuel deposition rates were set to zero over water, desert, and Alps, to 0.02 g/day/lbm over semidesert, and to 0.03 g/day/ lbm over islands and in the unshaded region of NW Africa (Figure 1). The zero value for the Alps was chosen to emphasize their character as a barrier, which, however, stems from their height rather than from a lack of food. The rate of 0.03 g/day/lbm for NW Africa was chosen because we assumed refueling rates to be lower than the average on mainland Europe. The same fuel deposition rate was assigned to islands to account for their smaller area and possibly increased competition due to a concentration of migrants. Fuel deposition rates measured by Schaub and Jenni (2000) on recaptured birds were generally lower than the values we have assumed here. Decreasing the average fuel deposition rate would increase the total time taken for migration (Erni et al., 2002b). More detailed estimates of refueling rates are currently not possible as field experiments show that there is large variation between individuals, sites, and years (Schaub and Jenni, 2000). Third, the magnetic declination (the angle between magnetic north and true north) for each grid cell of 1 latitude by 1 longitude was estimated with the World Magnetic Model 2000 (U.S. Geological Survey: http:// geomag.usgs.gov/geomag/geomagAWT.html). Magnetic declinations were needed because we modeled birds migrating in a constant compass direction (Mouritsen, 1998). Including magnetic declinations had the effect of a slight easterly shift in flight directions over western Africa; the maximum magnetic declination over a land grid cell in the area of Figure 1 was 10 at 12 N, 17 W, decreasing along a gradient toward the NE. Wind data The fourth layer was a wind vector for each grid cell. Winds have a measurable and predictable effect on flight (Liechti, 1995). As winds vary considerably over the area considered in speed and direction, we used actual data instead of probabilistic models of wind conditions. These wind vectors are interpolated values based on actual wind measurements taken at many locations across the globe. The data are available on the World Wide Web (NOAA–CIRES Climate Diagnostics Center: http://www.cdc.noaa.gov/cdc/reanalysis/, National Center for Atmospheric Research: http://dss. ucar.edu/). We used three types of wind data: (1) Longterm monthly mean wind vectors for July to November at a pressure level of 850 mb corresponding to approximately 1500 m above sea level (a.s.l.), one vector for each 2.5 latitude by 2.5 longitude grid cell and for each month, with the mean vector for each cell and month calculated from approximately 50 years of data. Mean wind vectors in September are illustrated in Figure 1. Winds at 850 mb are Behavioral Ecology 734 Figure 2 Frequency diagrams of wind directions at 20 locations shown at the four pressure levels 1000, 925, 850, and 700 mb. Bars point to directions into which winds blow. Each individual frequency rose diagram was calculated from midnight (UTC) wind directions of September and October over years 1999–2003. The underlying map is as in Figure 1. over large areas free of orographic distortions and are often used to characterize wind conditions for migrating birds. The 925-mb pressure level surface at about 750 m a.s.l. would be closer to frequent bird migration altitudes but is more exposed to orographic distortions and often not available. (2) Daily mean wind vectors for the autumn seasons of 1990– 2000 with a spatial resolution of 5 latitude by 5 longitude, also at a pressure level of 850 mb. (3) Daily wind vectors for the autumn seasons of 1999–2003 measured at midnight (0 h coordinated universal time [UTC]), with a spatial resolution 2.5 latitude by 2.5 longitude, at four pressure levels: 1000, 925, 850, and 700 mb roughly representing wind conditions at 100, 750, 1500, and 3000 m a.s.l., respectively (Figure 2). The package netCDF for the software R was used to read and organize the wind data. Flight range The range, Y, a bird could fly with a given fuel load, x (fuel mass relative to lean body mass), was defined as 1 Y ðxÞ ¼ c 1 pffiffiffiffiffiffiffiffiffiffiffi ð1Þ 1þx (Alerstam and Lindström, 1990), where c is the flight range constant, which depends, among other factors, on the energy density of the fuel (i.e., relative amounts of fat and protein) and the bird’s aerodynamic properties (Alerstam and Hedenström, 1998). We assumed a value of c ¼ 10,000 km, which, to our knowledge, is a generous estimate for a small passerine bird; Lindström and Alerstam (1992) estimated a value of c ¼ 8500 km for bluethroats, Luscinia svecica. The fuel load, x, was limited to values 0.9 (i.e., fuel loads 90% of lean body mass), assuming that passerines can almost double their weight when preparing for a flight phase, and to values 0. With c ¼ 10,000 km, the maximum flight range, that is, with a fuel load of 0.9 relative to lean body mass, is approximately 2750 km. Stopover, refueling, and wind selection To simulate flight and feeding phases during migration, we modeled two stopover strategies. When no winds were included in the simulations, stopover duration in areas with refueling possibilities was set to 10 days during which the bird gained mass according to the fuel deposition rate defined for the given grid cell. After these 10 days the bird would fly for two consecutive nights, resting during the day in between, with its fuel load staying constant. After the two nights of flight it would again stop for refueling and so on. We assumed no time cost at the beginning of a new stopover (search/ settling time). With this stopover strategy, the fuel load gradually increased over long distances with refueling opportunities (Erni et al., 2003). Migrating birds choose favorable wind conditions among days (Erni et al., 2002a; Richardson, 1978, 1990). We modeled this in the second stopover strategy as follows: the bird left the stopover site in favorable wind conditions, defined by a threshold wind profit level (see definition below) depending on the bird’s fuel load. With fuel loads below 0.02 (2% of lean body mass), the bird would never depart; with 0.02, it only departed with wind profit levels 10 m/s. The threshold wind profit level then decreased linearly to 5 m/s at a fuel load of Erni et al. • Wind in passerine autumn migration 0.9. With fuel loads of 0.9 or a wind profit larger or equal to the threshold level, the bird departed from the stopover site at the end of the day. With this stopover strategy we additionally assigned a maximum stopover duration of 14 days at any one site. This time limit prevented birds from staying too long at poor stopover sites and waiting too long for favorable wind conditions (Weber and Hedenström, 2000). Also with this strategy birds flew for two nights before another refueling stopover. To select the altitude with the best wind conditions, the altitude out of four with the largest wind profit value (calculated with respect to the bird’s endogenous direction) was chosen once per hour. The above assumptions on selection of days and altitudes with favorable wind conditions are based on empirical data, showing that birds avoid strong headwinds for departure (Erni et al., 2002a) and select heights with favorable tailwinds (Bruderer et al., 1995; Liechti et al., 2000). Empirical data show that birds obtain large fuel loads before crossing ecological barriers (Bairlein, 1991; Fransson et al., 2001). Therefore, we also examined the effect of a threshold fuel level before the crossing of ecological barriers (only in combination with the second stopover strategy, i.e., selecting days with favorable wind conditions). The threshold fuel levels whose effects were examined were 0.9 (90% of lean body mass) before crossing the Sahara Desert and 0.5 before crossing the Mediterranean Sea in the case when refueling was possible in NW Africa (unshaded area in Figure 1) but 0.9 before crossing the Mediterranean Sea in the case when fuel deposition rates in NW Africa were zero. Airspeed and flight time Airspeed was set to 10.5 m/s, which is in the range of values observed for small passerine birds (Bloch and Bruderer, 1982; Bruderer and Boldt, 2001). We set flight time per night to 8 h while over land and 12 h per night over desert and assumed continuous flight while over water. While birds are still migrating over Europe, flight time per night is mostly less than 8 h per night (Zehnder et al., 2001). A decrease in flight time per night would increase the total time taken for migration but would have little effect on survival. We assumed that birds over desert area flew only at night, they stopped during the day, and their fuel load decreased by 0.01 per day (1% relative to lean body mass) during the diurnal rest. This assumed value is lower than measurements by Safriel and Lavee (1988). We refrained from integrating nonstop flight over desert areas, thus avoiding the need to model different flight conditions (greater water loss and more turbulent air) during the day, even though some migrants continue migration into the day or (rarely) even throughout the day while crossing a desert (Biebach et al., 2000; Bruderer B and Liechti F, personal observations). Flight directions The existence of an endogenous (genetically determined) direction has been confirmed in many bird species (Wiltschko R and Wiltschko W, 2003, and references therein). It can be assumed that most migrating passerine species have a genetically inherited migratory direction (Berthold, 1996) and rely on this direction for a given time period, especially during their first autumn migration (Mouritsen, 1998; Perdeck, 1958). In our simulations each individual was assigned an endogenous migratory direction. The heading (the bird’s flight direction in still air) was chosen at the beginning of each flight step and every 4 h thereafter from a wrapped normal distribution with mean equal to the bird’s endogenous direction and an angular deviation of 30 or 15 , 735 corresponding to a mean vector length, r, of 0.863 and 0.966, respectively (Batschelet, 1981). Little is known about individual variation in flight directions and nothing about the frequency of adjustments. Estimates for variation in juveniles range from 38 (angular deviation) in orientation cage experiments (Moore, 1984) to 21 in satellite-tracked juvenile raptors (Thorup et al., 2003). We assumed constant magnetic compass directions with respect to magnetic North. The bird’s position was recalculated after every hour of flight. Tracks (flight vector plus wind vector) were calculated assuming a spherical earth with a radius of 6367 km (formulae from Ed Williams: http://williams.best.vwh.net/avform.htm). Starting values In all simulations birds started from point 60 N, 15 E with a fuel load (proportion of lean body mass) assigned from a normal distribution with mean 6 SD equal to 0.3 6 0.05. The departure day for each bird was chosen from a normal distribution with mean day 25 (25 July) and a standard deviation of 3 days. The time limit for completing migration was day 140 (17 November). Birds taking longer than this were deemed unsuccessful. Too little is known about the costs of arriving early or late in the wintering grounds to restrict this time limit further. Wind profit To define the favorability of wind for a certain flight direction, we chose a measure that accounts for both cross- and headwinds (Erni et al., 2002a). Assuming that the aim of a flying bird is to fly d m/s into its endogenous direction, with d equaling airspeed, we defined wind profit as pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi wind profit ¼ d d 2 þ w 2 2dw cosðaÞ: ð2Þ The term under the root sign comes from using the cosine rule, where a is the angle ‘‘endogenous direction wind direction’’ (direction into which wind blows) and w is the wind speed (m/s). Wind profit (m/s) measures the distance per second the wind carries the bird toward its intended goal. Negative values indicate that the wind would carry a stationary bird further away from the goal, and positive values indicate that the wind would carry a stationary bird toward the goal. This formula does not work if the tailwind component is larger than the airspeed of the bird. In such instances, we took wind profit to equal the tailwind component minus the absolute value of the crosswind component. Simulated evolution of endogenous directions To investigate which migratory directions would be feasible first without winds and second with long-term mean monthly winds, we allowed endogenous directions to ‘‘evolve’’ over 10 generations, with 10,000 birds in each generation (as in Erni et al., 2003). We found that the patterns stabilized after 5–10 generations, after which mainly the extreme values became less frequent, so decreasing the range of successful directions. To the first generation we assigned a large range of endogenous directions from a wrapped normal distribution with mean 180 and angular deviation 40 . Migration was simulated, and successful directions were considered those of birds that had survived. In the second generation of 10,000 new model birds, each bird was assigned a value randomly chosen from those directions that were successful in the previous generation. No mutation or crossing of parent values (resulting in intermediate values) was modeled because we were more interested in the feasible range of directions than 736 Behavioral Ecology in the actual evolutionary process. After 10 generations of this process, the distribution of values that survived was assumed to represent the distribution of feasible values under the given environmental and behavioral settings. Survival/Mortality A simulated bird successfully completed migration when it reached the last row of cells of the shaded area representing the Sahara Desert (Figure 1) or when it had reached land cells with refueling rates .0 g/day/lbm south of 20 N (Figure 1). Birds that ran out of fuel over water, desert, or Alps or had not completed migration after 140 days were unsuccessful (mortality). The survival rate was calculated as the percentage of successful birds. RESULTS Migration without and with long-term mean winds We let endogenous directions evolve under two conditions, one without winds and one under average wind conditions (long-term monthly mean winds at 850 mb). After 10 generations in long-term monthly mean wind conditions, the set of endogenous directions was SE with the following distribution: 186.0 , 172.6 , 169.4 , 166.3 , and 155.2 (n ¼ 8891) representing the most westerly, 25% quartile, median, 75% quartile, and most easterly direction, respectively. Of the first generation of 10,000 birds 30% survived, of which 69% had endogenous directions east of 180 . In comparison, endogenous directions that evolved without wind conditions were SW (median, range, and quartiles in the order above: 212.5 , 207.3 , 205.9 , 204.3 , 197.2 , n ¼ 5550). In the first generation 10% of the 10,000 simulated birds survived, of which 88% had endogenous directions west of 180 . We used the above two sets of directional values (SE and SW) as migratory directions in further simulations, assuming that they represented feasible directions for southeast and southwest migrants, respectively. Further interpretation is not meaningful, except that topography and the associated distribution of refueling opportunities favored SW directions, whereas in combination with mean wind conditions, SE directions were favored. Long-term mean wind conditions at one altitude (850 mb) are not representative of real wind conditions because of the lack of variation and because mean directional vectors become less representative with increasing variation in the original data. In the next step, we compared yearly survival rates between these two ‘‘populations’’ of endogenous directions using daily wind data at 850 mb measured during the autumns of 1990– 2000 (Figure 3). The average survival rate over these 11 years for simulated birds with SE directions was 70.0 6 7.7% (mean 6 SD), higher than the survival rate of birds with SW directions (30.3 6 8.4%), with a 95% confidence interval (CI) for the yearly difference in mean survival rates of 30.8–48.5% (paired t, n ¼ 11). The variation between repeated simulation runs under the same conditions was small (5.8) compared to the variation between years (64.2) (variance components; Sokal and Rohlf, 1995). Wind and migratory strategies We next explored the influence of different stopover strategies and orientation parameters on survival. Survival rates, mortality causes, and total time taken for migration are presented in Table 1. With a stopover duration of 10 days and an orientation error of 30 , survival rates of simulated birds with SW directions were lower (two-sample t 95% CI for Figure 3 Survival rates (mean 6 SD) of simulated birds in 11 autumns with wind data at 850 mb. Mean for each year calculated from 10 simulations with 500 birds each. SW and SE refer to two theoretical populations, one with SW endogenous directions and the other with SE endogenous directions. Stopover strategy: constant stopover duration of 10 days, 2 nights flight, and no selection for favorable winds (cf. Table 1, points 2 and 11). difference in survival rates: 20–30%, n1 ¼ 11, n2 ¼ 10) with winds at 850 mb than when flying without any winds (Table 1, points 1 and 2). The additional mortality was due to running out of fuel over the Sahara (Table 1). With winds, the median of the arrival distribution shifted to the east by approximately 11 from 12.1 W to 0.9 W. Selection of favorable wind conditions for departure (point 3), a rule of crossing ecological barriers only with threshold fuel levels (0.5 for the Mediterranean, 0.9 for the Sahara Desert; point 4), and a decrease in orientation error to 15 (point 5) increased survival rates, with the largest increase occurring with a decrease in orientation error (95% CI for difference in mean survival rate from previous strategy: 5–15%, 1–5%, and 9–16% for wind selection, threshold fuel, and orientation error, respectively; n ¼ 11 in all three comparisons, paired t). On the other hand, for simulated birds with SE directions, winds at 850 mb increased survival rates by 59–69% (95% CI; two-sample t; n1 ¼ 11, n2 ¼ 10; df ¼ 10.1) (Table 1, points 10 and 11). Selection for favorable winds when leaving stopover sites (point 12) and a decrease in orientation error to 15 (point 14) further increased survival rates (95% CIs for mean difference: 4–14% and 7–12%, respectively; paired t, n ¼ 11 in both comparisons). However, fueling up to a threshold fuel level (point 13) did not increase survival (95% CI: 2% to 6%, n ¼ 11, paired t). With simulation parameters set as those in points 5 and 14 in Table 1 (selection for winds, threshold fuel levels, and orientation error of 15 ), survival rates of birds with SE directions were 25–45% (95% CI, two-sample t, n1 ¼ n2 ¼ 11, df ¼ 12.3) higher than those for birds with SW directions. A shift in the migratory direction (Gwinner and Wiltschko, 1978) to 180 when crossing the latitude of 35 N (points 7 and 15) increased survival by 5–19% (95% CI, paired t, n ¼ 11) for migrants with initial SW directions but not for migrants with initial SE directions (1% to 4%; paired t, n ¼ 11). A shift in migratory directions has not been observed for SE migrants in any empirical study. Simulations with the more detailed wind data from 1999 to 2003, but using only the 850-mb level (point 8 and 16), resulted in a difference in survival rates between SW and SE migrants similar to that obtained before (95% CI: 15–48%; two-sample t, n1 ¼ n2 ¼ 5, df ¼ 7.2). With selection for favorable wind conditions from four altitudes, the difference in survival rates between SE and SW migrants became very Erni et al. • Wind in passerine autumn migration 737 Table 1 Summary of migration outcomes for two ‘‘populations’’ of simulated birds, one with SW and the other with SE migratory directions, under different parameter settings Parameter settings SW directions 1. No windsc 2. þ Winds (850 mb) 19902000d 3. þ Stopover strategy: selection for windsd 4. þ Threshold fuel before crossd 5. þ Decrease orientation error to 15 d 6. Orientation error 0 d 7. Direction shift (to 180 south of 35 N)d 8. Winds 19992003 (850 mb only) 9. Winds 19992003, selected from four altitudese SE directions 10. No windsc 11. þ Winds (850 mb) 19902000d 12. þ Stopover strategy: selection for windsd 13. þ Threshold fuel before crossd 14. þ Orientation error 15 d 15. Direction shift (to 180 south of 35 N)d 16. Winds 19992003 (850 mb only) 17. Winds 19992003, selected from four altitudese Survival (%), mean 6 SD (range) Total migration time (days), mean 6 SDa Average mortality due to time, fuel, water (%)a,b 55.2 6 1.1 (5358) 30.5 6 7.7 (2044) 70.1 6 8.0 66.2 6 14.0 0 0.4 28.4 57.5 16.4 11.6 40.1 6 11.4 (2260) 56.0 6 11.2 0.1 53.8 6.1 43.3 6 11.5 (2765) 61.0 6 12.8 0.1 49.9 6.7 56.1 6 14.3 (3478) 58.2 6 11.3 0 38.9 4.9 61.9 6 13.0 (4282) 67.9 6 9.1 (5584) 55.4 6 10.5 55.3 6 10.7 0 0.01 35.5 28.6 2.6 2.4 56.7 6 13.1 (4172) 55.9 6 9.8 0 33.9 6.9 91.7 6 2.9 (8896) 51.6 6 8.1 0 4.7 3.5 5.7 6 0.4 (56) 69.9 6 7.4 (5881) 57.5 6 6.8 49.4 6 9.9 0 0.01 93.7 22.4 0.6 7.0 79.2 6 6.3 (6989) 38.0 6 7.7 0 16.4 3.9 81.7 6 7.5 (6991) 45.5 6 9.9 0.02 13.2 4.4 91.4 6 4.9 (8497) 92.7 6 6.1 (7997) 42.5 6 9.3 43.0 6 9.2 0.01 0 6.3 6.4 2.0 0.5 88.2 6 9.2 (7294) 41.1 6 9.9 0 9.8 1.2 95.5 6 2.4 (9298) 36.2 6 7.4 0 4.2 0.3 a Means and standard deviations weighted by survival rate of each year. Mortality due to time: exceeded time limit; fuel: out of fuel mostly over Sahara; water: out of fuel over water, including Atlantic Ocean. c Mean values based on 10 simulations (10 replications with same settings), stopover strategy: stop for 10 days and fly 2 nights, orientation error ¼ 30 . d Mean values based on 11 simulations, each for a different year with wind data (1990–2000). e Birds select altitude with largest wind profit. ‘‘þ’’ indicates a feature added to the previous setting and retained in the remaining simulations. Settings 6–9 and 15–17 involve single changes in settings from settings 5 and 14, respectively. A total of 2500 individuals per simulation. b small (0.1% to 7.7%; two-sample t, n1 ¼ n2 ¼ 5, df ¼ 7.7; points 9 and 17). Endogenous directions and wind To examine the influence of wind on migration with different endogenous directions, we compared four different setups. (1) No refueling was possible in NW Africa (refueling rates set to 0 g/day/lbm), but birds refueled to a threshold fuel level of 0.9 (90% of lean body mass) before crossing water. Only winds at 850 mb were included, that is, there was no wind selection across altitudes (Figure 4, open circles). Mean survival rates were highest for SE directions (91.6 6 7.0% for directions 165–175 , overall mean 6 SD) and decreased continuously with more westerly directions to less than 20%. (2) Refueling in NW Africa was possible, where birds refueled to a threshold fuel level of 0.9 for crossing the desert and 0.5 before crossing water, and again only winds at 850 mb were included (Figure 4, filled circles). Under these changed assumptions, survival rates along the SW route increased (paired t 95% CI: 28–34%; n ¼ 11) for directions between 200 and 210 , from an average of 25.5 6 11.1% to 56.5 6 14.3%, but were still lower than those for SE migrants with directions between 165 and 175 (32% to 38%, two-sample t 95% CI, n1 ¼ n2 ¼ 11). (3) Birds refueled as in (1) but additionally selected for the best wind from four altitudes (Figure 5, open circles). Survival rates for SE migrants increased slightly from those without wind selection over altitudes (cf. Figures 4 and 5) (two-sample t 95% CI for directions 165–175 : 2–6%, n1 ¼ 55, n2 ¼ 121, df ¼ 171.9; mean 6 SD: 95.6 6 3.5%). For a narrow range of SW directions, survival rates were considerably higher (approximately 45%) in all years than without altitude selection, reaching a maximum mean survival rate of 66.1 6 8.0% at 210 (mean 6 SD over 5 years). (4) Refueling in NW Behavioral Ecology 738 Figure 4 Survival rates of simulated birds with different mean flight directions (endogenous directions). Circles represent the mean, lines the minimum and maximum survival rate over 11 simulations, each with wind data from a different year (1990–2000). Two strategies are presented. (1) Open circles and dashed lines: no refueling opportunity in NW Africa, threshold fuel level for crossing water or desert was 0.9. (2) Filled circles and continuous lines: fuel deposition rates in NW Africa ¼ 0.03 g/day/lbm, threshold fuel level for crossing water ¼ 0.5 and for crossing desert ¼ 0.9. A total of 2000 birds in each simulation (per endogenous direction and year). Orientation error was set to 15 (angular deviation). Winds from 850 mb pressure level. Africa was possible; birds refueled as in (2) and selected for the best wind from four altitudes (Figure 5, filled circles). Refueling opportunities in NW Africa again lead to a considerable improvement for SW migrants, with survival rates considerably higher (two-sample t 95% CI for change in survival rates: 40–49%, directions 203–208 , n1 ¼ n2 ¼ 30, df ¼ 33.7; mean 6 SD: 92.7 6 3.5%) than without refueling in NW Africa. These latter survival rates were very close to those for SE directions from situation (3) (two-sample t 95% CI for difference: 1–4%, n1 ¼ 55, n2 ¼ 30, df ¼ 60.8). The range of feasible values for SW migrations was fairly narrow with average survival rates dropping to less than 80% for endogenous directions west of 209 and east of 196 . DISCUSSION Wind is known to play an important role during flight and consequently for the migration of birds (Alerstam, 1979; Gauthreaux, 1980; Liechti, 1995; Liechti and Bruderer, 1998; Williams TC and Williams JM, 1990). It has, however, been difficult to quantify the effect of wind during migration (but see Stoddard et al., 1983). We used a computer simulation to quantify the influence of wind on small passerine birds on their first autumn migration from northern Europe to Africa. Southwestern flyway In Europe, winds from the west dominate (Figure 1). Variability increases toward the south, mainly in the area of the western Mediterranean Sea (Figure 2). Along the southwestern flyway birds are frequently confronted with cold fronts moving in from the Atlantic Ocean, causing the Figure 5 Survival rates of simulated birds with different mean flight directions, and wind data from the years 1999–2003. Circles represent the mean, lines the minimum and maximum survival rates during the 5 years with wind data (1999–2003). The simulated birds selected the altitude with the most favorable wind from four pressure levels: 1000, 925, 850, 700 mb. (1) Open circles and dashed lines: no refueling opportunity in NW Africa, threshold fuel level for crossing water or desert was 0.9. (2) Filled circles and continuous lines: fuel deposition rates in NW Africa ¼ 0.03 g/day/lbm, threshold fuel level for crossing water ¼ 0.5 and for crossing desert ¼ 0.9. A total of 2000 birds were simulated in each simulation (per endogenous direction and year). Orientation error was 15 . well-known variations in migratory intensities in the temperate regions (Erni et al., 2002a; Richardson, 1990), and also variable winds over NW Africa. Over western Europe most passerine long-distance migrants fly with SW directions (Bruderer and Liechti, 1999), shifting to more southerly directions over the African continent (Liechti F and Bruderer B, unpublished data). Our results suggest that the overall increase in survival attained by avoiding days with unfavorable winds is relatively small; additional selection of altitudes with favorable winds seems a necessity. On the SW flyway, survival rates in our simulations approached those of the SE flyway only under the additional condition that refueling was possible in NW Africa. Various reports confirm that passerines refuel in NW Africa during autumn migration (Bairlein, 1987, 1988; Schaub and Jenni, 2000). Our recent observations in Mauritania indicate that refueling possibilities may be available over larger areas than previously assumed. Southeastern flyway Further to the east, from Greece to Egypt, northerly winds favorable for autumn migration are common, at least below 2000 m a.s.l.. On the SE flyway migrants concentrate along the eastern Mediterranean Sea (Bruderer and Liechti, 1999). In addition, there are large numbers of nocturnal migrants crossing the southern Balkan area, heading mainly southward, indicating that they cross the corresponding parts of the eastern Mediterranean Sea on a broad front (Zehtindjiev and Liechti, 2003). Our simulations indicate that wind conditions along the SE route are very favorable, to the extent that birds that crossed the Mediterranean Sea and the Sahara with a fuel load of 0.5 Erni et al. • Wind in passerine autumn migration (amount of fuel relative to lean body mass) were almost as successful as birds that crossed with a fuel load of 0.9. Without wind assistance on the other hand, that is, only self-powered flight, average survival during autumn migration with SE directions would be less than 10%, as estimated by our simulation results. This suppports Biebach (1992), who suggested that, according to fuel loads he measured on the ground, garden warblers would not be able to cross the desert without wind support. Thus, we conclude that this route, with a larger sea and desert crossing than along the SW route, relies on consistent wind support. Southerly directions With the environmental factors and behavioral settings considered in this simulation study, the SW and SE flyway seem to yield an approximately equal chance of survival during autumn migration. For southerly directions, however, our simulation results indicated lower survival rates. These lower survival rates are probably caused by a combination of less favorable wind conditions along this route than further east and fewer refueling opportunities than further west due to the three ecological barriers Alps, Mediterranean Sea, and Sahara. This is in line with Alerstam’s (2001) prediction that larger fuel loads and, therefore, increased transport costs would favor a detour around these barriers. Some exceptions show that the direct southward connection is at least a feasible option: the northeastern populations of the garden warbler, S. borin, are an example of southward migration with high fat loads, while spotted flycatchers, Muscicapa striata, from Scandinavia and the Baltic fly southward with low fat reserves, feeding en route in a wide variety of (even desert) habitats (Glutz von Blotzheim and Bauer, 1991, 1993). North America On the North American continent, bird migration is not exposed to the generally adverse wind conditions experienced by SW autumn migrants over Europe. Instead, migratory directions are generally favored by the wind patterns, and migrants seem to efficiently exploit this situation in spring and autumn (Gauthreaux, 1980; Gauthreaux and Belser, 1999). A small proportion of autumn migrants leave the northeastern American coast regularly with SSE directions given northwesterly winds after a cold front passage, and these birds then make use of northeasterly trade winds to carry them to the Caribbean and South America (Williams TC and Williams JM, 1978). This is a striking example of a migration route that has adapted to favorable wind conditions. In spring, practically all birds follow the coast. More generally, in North America long-distance crossing of barriers is avoided unless favorable winds support notable crossings. Therefore, in both European/North African and American migration systems wind seems to play a crucial role in determining the feasibility and maintenance of a migration route, but a much larger combination of factors, including conditions during spring migration and the nonbreeding season, will ultimately determine the continuation of bird migration between specific breeding and nonbreeding sites. The only study we know that separately estimates survival for the migratory period in passerines (Sillett and Holmes, 2002) gives estimates of approximately 70% for both autumn and spring migration in an American long-distance migrant. It is difficult to compare this average estimate with the survival rates of this study. Real birds can be expected to perform better than the simulated birds in this study, for example, flying along coast lines (Bruderer and Liechti, 1998; Fortin et al., 1999) would reduce the number of birds getting lost over the Atlantic 739 Ocean, causing mortality over water. On the other hand, we have not dealt with predation or severe weather conditions, which would decrease survival rates in reality. This paper has suggested how small passerine migrants cope with the unfavorable conditions on the SW flyway between northern/central Europe and tropical Africa. To explain why the first migratory phase of these SW migrants takes place mostly against the prevailing winds, we favor the earlier suggested idea that birds might follow the ancient path of range expansion to move between breeding and nonbreeding ranges (see introduction). Our simulation results suggest that there is no heavy selective pressure to shift to shorter migratory routes; in contrast, favorable wind conditions to the east and favorable feeding conditions to the west seem to favor the detours against the shortest route. Overall, the simulation results help to identify feasible migration strategies and environmental conditions necessary for a successful autumn migration, so providing a first indication of the comparative success rates along a SE versus SW migration route. We thank Thomas Alerstam, Res Altwegg, Heiko Schmaljohann, Andrew Bourke, and two referees for very helpful comments and suggestions. 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