## Services on Demand

## Article

## Indicators

## Related links

- Cited by Google
- Similars in SciELO
- Similars in Google
- uBio

## Share

## Brazilian Archives of Biology and Technology

*Print version* ISSN 1516-8913

### Braz. arch. biol. technol. vol.42 no.2 Curitiba 1999

#### http://dx.doi.org/10.1590/S1516-89131999000200010

**Effects of Different Temperatures on the Performance of Seeds Germination of Cecropia pachystachya Trec. (Cecropiaceae)**

**Rosemari Pilati ^{I*}; Izabel de Fátima Andrian^{II}; José W. P. Carneiro^{III}**

^{I}Pós-graduação em Ecologia de Ambientes Aquáticos Continentais, Departamento de Biologia, Nupélia, Universidade Estadual de Maringá, CEP 87020-900 Maringá, PR, Brasil

^{II}Departamento de Biologia, Nupélia, Universidade Estadual de Maringá, CEP 87020-900 Maringá, PR, Brasil

^{III}Departamento de Agronomia, Universidade Estadual de Maringá, CEP 87020-900 Maringá, PR, Brasil

**ABSTRACT**

Seed germination of *Cecropia pachystachya* Trec. was investigated at 25, 30, and 35ºC using fluorescent day lights. Ten replicates each of 200 seeds were used in each thermal treatment. Germitest^{®} paper, CEL-065^{®}, and 11x11x5 cm Gerbox^{®} were also used. The frequencies of radicle protrusions were counted at consecutive two hour intervals. The cumulative frequencies were combined with the distribution of Weibull using the following model: Y = M (1 - exp (-(t/b)^{c})). The best performance was achieved with the temperature of 30ºC ( M, 95.29%). Time to achieve 60.23% of seed germination (0.6321 x 95.29%) was 99.35 h with a spread of 7.19. All model/data set combinations had close to linear.

**Keywords**: *Cecropia pachystachya*; seed germination; Weibull function

**RESUMO**

Com o objetivo de avaliar o desempenho germinativo de sementes de *Cecropia pachystachya* Trec., sob diferentes níveis de temperatura, foi realizado um experimento com sementes coletadas em fragmentos da Floresta Estacional Semidecidual Submontana e Aluvial, localizados na planície de inundação do alto rio Paraná. As sementes foram submetidas a temperaturas constantes de 25ºC, 30ºC e 35ºC. Luzes fluorescentes do tipo "luz do dia" foram mantidas acesas durante todo o período experimental. Cada tratamento consistiu de 10 repetições de 200 sementes distribuídas de maneira uniforme sobre papel especial de germinação, CEL-065, em caixas de plástico transparente do tipo gerbox medindo 11x11x5 cm. As freqüências germinativas foram avaliadas em intervalos consecutivos de duas horas. As freqüências acumuladas foram combinadas com o seguinte modelo da função de Weibull: Y = M ( 1- exp (-(t/b)^{c})). Os resultados indicaram que o melhor desempenho germinativo foi alcançado com a temperatura de 30ºC. A porcentagem máxima de germinação (M) foi igual a 95,29%, e o tempo (b) para a ocorrência de uma porcentagem de germinação igual a 60,23% (0,6321 x 95,29%) foi igual a 99,35 horas. A dispersão das germinações (c) durante o tempo de avaliação foi igual a 7,19, indicando que a distribuição não se afastou muito da normal com pequeno desvio padrão. Ficou evidenciado também, que as estimativas dos parâmetros tiveram um desempenho próximo à linearidade.

**INTRODUCTION**

*Cecropia pachystachya* is a pioneer species (Budowski, 1965) occurring from Ceará, Bahia, Minas Gerais, Goiás, and Mato Grosso do Sul to Santa Catarina (Lorenzi, 1992). It is nondeciduous, heliophyte and selective hygrophyte, characteristic of secondary woods. In addition to its value as an ornamental, it is used for recovering of degraded areas (Lorenzi, 1992). The fruits are produced annually in large quantities and are of great importance as food for animals. Although fundamental to knowledge of the species, basic information on factors affecting seed germination performance of *C. pachystachya* is limited and requires additional studies.

Laboratory evaluation methods, carried out under controlled conditions, have been studied and developed in order to obtain regular, rapid, and complete seed germination. For tropical and subtropical tree and shrub species, whose specific requirements are often unknown, no standardized methodology exists, although some research-based information can be found (Figliolia *et al*., 1993).

The main factor affecting the metabolic processes responsible for germination of forest seeds is the temperature, which is directly associated with the ecological characteristics of the species (Figliolia *et al*., 1993). Thus, the optimum temperature and the time interval during which germination occurs vary among species. Some require alternating temperatures to germinate, others show responses to a narrow or wide thermal range (Figliolia *et al*., 1993). Many factors may alter the responses obtained. The physiological condition of the seed (Popinigis, 1977), and the age and origin of the biological material (Lockley, 1980) are the examples. The temperature can also have influence on seedling establishment in tropical forests, and it is a fundamental variable for studies of ecophysiology and plant succession (Figliolia *et al*., 1993). Appropriate temperatures permit a seed lot to express its maximum germination potential, an aspect of seed quality.

The physiological quality of a seed lot is evaluated by the germination (Ista, 1993), and vigor tests (Popinigis, 1977; Vieira & Carvalho, 1994). The results expressed using percentage as well as indices have generated doubts as to its power to discriminate different samples (Brown & Mayer, 1986, 1988a). In spite of difficulties in quantifying seed germination performance, some mathematical models have been proposed to overcome it. Models of cumulative distribution with the logistic function (Bahler *et al*., 1989; Dumur *et al*., 1990), the cumulative normal distribution (Dumur *et al*., 1990), and other functions (Brown & Mayer, 1988b) have been compared with the standards used. The model which has the best performance was proposed by Weibull (Weibull, 1951) and studied by several investigators (Brown & Mayer, 1988b; Bahler *et al*., 1989; Dumur *et al*., 1990; Carneiro, 1994a).

The distribution of Weibull permits greater precision in evaluating quality, because the unique expression of percent germination is replaced by parameters with biological meaning (Dumur *et al*., 1990 Carneiro, 1994a;). Previous results have indicated that this distribution is appropriate for evaluation of the performance of seeds under germination (Carneiro, 1994b; Carneiro & Guedes, 1995; Takahashi *et al*., 1996).

The objective of the present investigation was to quantify the germination performance of seeds of *Cecropia pachystachya* using three temperatures, combining cumulative measurements of germination frequencies with the cumulative distribution of Weibull.

**STUDY AREA**

The seeds used in this experiment were obtained from mature fructescences of *Cecropia pachystachya* Trec., collected from several trees, in fragments of the Semideciduous Seasonal Alluvial and Submontane Forest (Campos & Souza, 1997). This forest is located on the Upper Paraná River floodplain in the vicinity of the Municipalities of Porto Rico in the State of Paraná, and Taquaruçu in the State of Mato Grosso do Sul (22º 43'/22º 48'S and 53º 15'/53º 20'W) (Fig. 1).

The regional climate is classified in the Köppen system as Cfa, with a warm summer and the meantemperature of the warmest month is above 22ºC. The annual mean temperature is 22ºC and annual precipitation is between 1200 to 1300 mm (Maack, 1981; Campos & Costa-Filho, 1994).

**MATERIALS AND METHODS**

The seeds were germinated at constant temperatures of 25, 30, and 35ºC, using germination chambers installed in a room with temperature at 20ºC ± 1ºC. "Daylight" fluorescent bulbs were kept turned on during the entire period of the experiment. Each treatment consisted of 10 repetitions, each of 200 seeds (Carneiro, 1994b; 1996), distributed uniformly on special germination paper, CEL-065^{®}, in Gerbox^{®} transparent plastic boxes measuring 11x11x5 cm. The substrate was kept humid with distilled deionized water. Germination frequencies were counted at consecutive time intervals of two hours (Carneiro, 1994b). Each seedling with the radicle lenght equal or greater than 3 mm were classed as germinated, counted and removed from the Gerbox.

**Theoretical Foundation**

The variable T is associated to the time until seed germination occurs. F*_{T}(t_{i}) = P(T > t_{i}), in that P (T > t_{i}) indicates the probability that a seed, under test, will not germinate before time t_{i}, **i** being 1, 2, ..., and F_{T} (t_{i}) = 1 - F*_{T} (t_{i}) is the probability that a germination will occur. The expression:

describes germination power probabilistically, where (t_{i} , t_{i} + ) t) is a finite and infinitesimal time interval (TSENG & HSU, 1989). Therefore, the power of seed germination is:

or

The power of seed germination is related to the remaining seeds which have not yet germinated (Richards, 1959), and is expressed as:

Pg (t_{i}) = (1/(1-F_{T}(t_{i}))) (dF/dt), in that dF/dt represents the differential of the cumulative function in relation to the time, indicating the instantaneous rate of variation, that is, f_{T} (t_{i}) (Carneiro, 1994). Therefore,

Pg (t_{i}) = (1/(1-F_{T} (t_{i}))) (f_{T}(t_{i})).

The cumulative distribution of Weibull (Weibull, 1951) is defined by the equation:

F_{T} (t_{i}) = 1 - exp (-((t_{i}-t_{0})/b)^{c})

with the probability density function,

dF_{T}/dt = f_{T}(t_{i}) = [(c/b)(t_{i}-t_{0})/b)^{(c-1)}] exp(-(t_{i}-t_{0})/b)^{c}

that is used to estimate the frequency at which seeds germinate in each time interval (Carneiro, 1994a). Thus, it is possible to describe the power of seed germination by the potential component of f_{T}(t_{i}) in which Pg(t_{i}) = (c/b)(t_{i}-t_{0})/b)^{(c-1)}. It indicates the conditional probability of the protrusion of the radicle occurring within a defined time interval (Carneiro, 1994a). The relative germination rate is obtained by the logarithm of the same component (Carneiro, 1994a; Takahashi *et al*., 1996).

**Data Analysis**

The data set with cumulative frequencies of seed germination were combined with the distribution of Weibull (Weibull, 1951) using the following parameterization: Y = M(1 - exp (-(t/b)^{c})) (Carneiro, 1994a). The additional parameter **M** indicates the maximum percentage of seed germination and is necessary due to the aspects related to the censored cases (Brown, 1987; Brown & Mayer, 1988b; Carneiro 1994a, 1996). The parameter **b** is the time to reach 63.21% of the maximum (M), and the **c** is a shape parameter which reflects skewness and accounts for the greater versatility of the distribution (Brown & Mayer, 1988b). The parameter t_{0}, estimates the lag phase (the time between the start of incubation and when the first seeds germinate) (Brown,1987), and can be removed from the model because its absence does not compromise the evaluation and contributes toward reducing nonlinearity (Carneiro, 1994).

The asymmetries of the parameters were estimated by the Hougaard coefficient (Hougaard, 1985). Values for g_{1} lower than 0.1 indicate that the parameter estimate is close to linear. From 0.1 to 0.25, the estimate is reasonably close to linearity. Values greater than 0.25 indicate some asymmetry, and values greater than 1.0 are characteristic of totally nonlinear performance (Ratkowsky, 1990). The percentage of bias (Box, 1971) evaluated the stability of these estimates (Ratkowsky, 1990). The curvature of the solution locus in sample space was evaluated by the intrinsic nonlinearity, IN, and the lack of parallelism and inequality of spacing of the parameter lines on the tangent plane at the solution locus were evaluated by the parameter-effects nonlinearity, PE (Bates & Watts, 1980; Ratkowsky, 1986). The locus represents all possible solutions in the sample space. (Ratkowsky, 1986). The divergence between the tangent plane and the sampling space was evaluated by F test at the 5% probability level (Bates & Watts, 1980; Ratkowsky, 1990).

BMDP^{®}, STATISTIC^{®} and the subroutines of Ratkowsky (1990) were used to estimate the parameters and for calculation the power, probability, and relative rate of seed germination.

The discrimination among the treatments was evaluated by comparing the sums of squares of the residuals obtained for each treatment, with the sum of squares for the set of all observations (Mead *et al*., 1996).

**RESULTS AND DISCUSSION**

The results from combining germination frequencies with the cumulative distribution of Weibull are shown in Table 1. The best performance of the seeds under germination was achieved with the temperature of 30ºC. The maximum percentage (M) was 95.29%, and the time (b) to achieve 60.23% (0.6321 x 95.29%) was 99.35 h. Under temperatures of 25ºC and 35ºC, the estimates of M reached reasonably high values, but the time to b were 124.3 h and 127.27 h, respectively. The value of the spread (c) at 30ºC was 7.19, indicating that the distribution was close to the peaked normal with a small standard deviation (Dodson, 1984).

The Hougaard coefficient indicates estimates of asymmetry lower than 0.1 and the percent bias less than 1%. At the three temperatures, these parameters had a performance close to linear. (Ratkowsky, 1990). The intrinsic nonlinearity, IN, and those due to parameterization, PE, were not-significant (P __<__ 0.05).

Comparison among treatments, using the residual variance (Table 2) indicated that the performance of seed germination was different at each temperature. Although the differences in the percentages of seed germination were not large, there were differences in performance, with decrease and increase in the time necessary to reach 63.21% M, and in the estimates of c.

The probabilities of seed germination are shown in Fig. 2. It could be seen that at 30ºC, the time to reach 99% of maximum (M) was 130 h. At 25ºC and 35ºC, this value occurred only after 150 and 192 h respectively.

The power of seed germination are presented in Fig. 3. It was found that the seeds which germinated at 30ºC had a higher germination power than those germinated at 25ºC and 35ºC. At 30ºC, the seeds germinated over a shorter time interval. Once germination had begun, it proceeded rapidly (Fig. 4). Thus, at this temperature, the chance of germination of a new seed cohort increased in each new period of occurrence of this event, i.e., the cumulative chance of germination ocurrences was high.

The start of seed germination at 25ºC was delayed, compared to 30ºC and 35ºC. At 25ºC, radicle protrusions began after 90 h from the beginning of the test, while at 30ºC and 35ºC, initial protrusions occurred after 72 h. Nevertheless, once begun, the process was quite rapid, since at 25ºC the protrusions terminated before that at 35ºC. This could be seen in the steeper slope of the logarithmic curve (Fig. 4). At 35ºC, the relative rate of seeds germination declined, as indicated by the lower slope of the straight line (Fig 4). This slower and more dispersed germination over time was due to the lower value of the parameter c associated with the value of b. According to Richards (1959), values of c near 3 indicated a deceleration of the phenomenon evaluated.

The best performance of seeds obtained at 30ºC, is in agreement with investigators who suggested the thermal interval between 20ºC and 30ºC as adequate for seed germination of a large number of tropical and subtropical species (Whitmore, 1982; Borges & Rena, 1993). Nevertheless, species with widely distributed populations, such as *C. pachystachya*, may show variability in the germination responses according to their geographical distribution (Yousheng & Sziklai, 1995). Seeds of *C. pachystachya* collected in the region of Moji Guaçú, State of São Paulo, for example, when set out to germinate in beds of sand and in the open air, had only 34% of germination (Barbosa *et al*., 1997), a value lower than the results found in present studies. Evaluation of seeds of *C. obtusifolia* at Vera Cruz, Mexico presented 80% germination at 26ºC and a strong reduction to 18% when a temperature of 36ºC was used (Vazquez-Yanes, 1976). These results do not match with on findings, but are in agreement with the decrease in percentage of seed germination at temperatures greater than 30ºC. However, other studies at Vera Cruz, Mexico, using the same species, *C. obtusifolia*, reported germination percentages higher than 90% at 25ºC (Alvarez-Buylla & Martinez-Ramos, 1990; AlvarezL-Buylla & Garay, 1994).

The estimates of seed germination obtained here corroborate the observation of Carneiro (1994b), who showed that evaluation of germination of seeds under favourable conditions, and with measurements taken over short time intervals, favour the combination model/data set.

**CONCLUSIONS**

The results obtained in this experiment recommend the temperature of 30ºC for the standard germination test for seeds of *Cecropia pachystachya*. The temperature of 25ºC, although delayed the time the first radicles protrusions, provided a higher relative rate of seed germination.

**ACKNOWLEDGEMENTS**

The authors would like to thank to Denilson do Amaral, Ivair do Amaral and Vitor Paulo de Freitas Cruz for laboratory assistance and Sebastião Rodrigues, for help in the field. Thanks are also due to the Research Nucleus in Limnology, Ichthyology and Aquaculture (Nupelia) and to the Coordination of the Course in Ecologia de Ambientes Aquáticos continentais, for the logistical and financial support.

**REFERENCES**

Alvarez-Buylla, E.R.; Garay, A.A. (1994), Population genetic structure of *Cecropia obtusifolia*, a tropical pioneer tree species. *Evolution*, **48 **(2), 437-453. [ Links ]

Alvarez-Buylla, E.R.; Martinez-Ramos, M. (1990), Seed bank versus seed rain in the regeneration of a tropical pioneer tree. *Oecologia*, **84**, 314-325. [ Links ]

Bahler, C.; Hill, R.R.Jr ; Byers, R. A. (1989), Comparison of logistic and Weibull Functions : the effect of temperature on cumulative germination of alfafa. *Crop. Sci.*, **29** (1), 142-146. [ Links ]

Barbosa, J.M.; Santos, M.R.O.; Ferreira, M.F.; Peters, J.A. (1997), Efeito da submersão em água sobre o vigor e sobrevivência de sementes de espécies nativas utilizadas em recuperação de áreas degradadas. Paper presented at 3 Simpósio Brasileiro de Recuperação de Áreas Degradadas, SOBRADE: UFV/DPS/DEF, Trabalhos voluntários, 18-24 May, Ouro Preto, Minas Gerais [ Links ]

Bates, D. M.; Watts, D. G. (1980), Relative curvature measures of nonlinearity. *J. R. Statist. Soc. B*, **42** (1), 1–25. [ Links ]

Borges, E.E.L.; Rena, A.B. (1993), Germinação de sementes. In- *Sementes florestais tropicais*, eds. Aguiar, I.B.; Pinã-Rodrigues, F.C.M.; Figliolia, M.B. Abrates, Brasília, pp. 83-136. [ Links ]

Box, M. J. (1971), Bias in nonlinear estimation. *J. R. Statist. Soc. B*, **32** (1), 171-201. [ Links ]

Brown, R.F. ; Mayer, D.G. (1986), A critical analysis of Maguires germination rate index. *J. Seed Technol.*, **10** (2), 101-110. [ Links ]

Brown, R.F. (1987), Germination of *Aristida armata* under Constant and Alternating Temperatures and Its Analysis with the Cumulative Distribution as a Model. *Aust. J. Bot.*, **35, **581-591. [ Links ]

Brown, R.F.; Mayer, D.G. (1988a), Representing cumulative germination. 1. A critical analysis of single-value germination indices. *Ann. Bot.*, **61**, 117-125. [ Links ]

Brown, R.F.; Mayer, D.G. (1988b), Representing cumulative germination. 2. The use of the Weibull function and other empirically derived curves. *Ann. Bot.*, **61**, 127-138. [ Links ]

Budowski, G. (1965), Distribution of Tropical American Rain Forest species in the light of sucessional processes. *Turrialba*, **15**, 40-42 [ Links ]

Campos, J.B.; Costa Filho, L.V. (1994), *Proposta técnica de implantação da área de proteção ambiental do Arquipélago de Ilha Grande*. SEMA/IAP. Curitiba, Paraná [ Links ].

Campos, J.B.; Souza, M.C. (1997), Vegetação. In-*A Planície de Inundação do Alto Rio Paraná: aspectos físicos, biológicos e socioeconômicos*, eds. Vazzoler, A.E.A.M.; Agostinho, A.A.; Hahn, N.S. EDUEM : Nupélia, Maringá, pp. 331–342. [ Links ]

Carneiro, J.W.P. (1994a), Avaliação do desempenho germinativo de acordo com os parâmetros da função de distribuição de Weibull. *Informativo Abrates*, **4** (2), 75-83. [ Links ]

Carneiro, J.W.P. (1994b), Determinação do número de sementes para avaliar o desempenho germinativo de sementes de capim braquiária (*Braquiaria brizantha* cv. Marandú). *Revista Brasileira de Sementes*, **16** (2), 156-158. [ Links ]

Carneiro, J.W.P. (1996), Determinação do número de sementes para avaliar o desempenho germinativo de sementes de stévia (*Stevia rebaudiana *(Bert.)Bertoni). *Revista Brasileira de Sementes*, **18** (1), 1-5. [ Links ]

Carneiro, J.W.P.; Guedes, T. A. (1995), Influência do estresse térmico no desempenho germinativo de sementes de (*Stevia rebaudiana* (Bert)Bertoni avaliado pela função de distribuição de Weibull. *Revista Brasileira de Sementes*, **17** (2), 210-216. [ Links ]

Dodson, B. (1984), *Weibull Analysis*. ASQC quality Press, Wisconsin, Milwaukee [ Links ]

Dumur, D.; Pilbeam, C.J.; Craigon, J. (1990), Use of the Weibull function to calculate cardinal temperatures in Faba Bean. *J. Exp. Bot.*, **41** (232), 1423-1430. [ Links ]

Figliolia, M.B.; Oliveira, E.C.; Pinã-Rodrigues, F.C.M. (1993), Análise de sementes. In-*Sementes florestais tropicais*, eds. Aguiar, I.B.; Pinã-Rodrigues, F.C.M.; Figliolia, M.B. Abrates, Brasília, pp. 137-174. [ Links ]

Hougaard, P. (1985), The appropriateness of the asymptotic distribution in a nolinear regression model in relation to curvature. *J. R. Statist. Soc. B*, **47** (1), 103-114. [ Links ]

Ista. International Seed Testing Association. (1993), International rules for seed testing. *Seed Sci. Technol.*, **21 **(Suplement) [ Links ]

Lockley, G.C. (1980), Germination of chockecherry (*Prunus virginiana*). *Seed Sci. Technol.*, **8** (3), 237-244. [ Links ]

Lorenzi, H. (1992), *Árvores Brasileiras*: manual de identificação e cultivo de plantas arbóreas nativas do Brasil. Editora Plantarum, Nova Odessa, São Paulo. [ Links ]

Maack, R. (1981), *Geografia física do Estado do Paraná*. J. Olympio, Rio de Janeiro. [ Links ]

Mead, R.; Curnow, R.N.; Hasted, A.M. (1996), *Statistical methods in agriculture and experimental biology*. Chapman & Hall, London. [ Links ]

Popinigis, F. (1977), *Fisiologia da semente*. AGIPLAN, Brasília. [ Links ]

Ratkowsky, D. A. (1990), *Handbook of nonlinear regression models*. Marcel Dekker, New York. [ Links ]

Ratkowsky, D. A. (1986), Statistical properties of alternative parametrizations of the von Bertalanffy growth curve.*Can. J. Fish. Aquat. Sci.*, **43**, 742–747. [ Links ]

Richards, F.J. (1959), The quantitative analysis of growth. In-*Plant Physiology, a treatise*, ed. Steward, F.C. Academic Press, London, pp. 1-76. [ Links ]

Takahashi, L.; Melges, E.; Carneiro, J.W.P. (1996), Desempenho germinativo de sementes de *Stevia rebaudiana *(Bert.)Bertoni) sob diferentes temperaturas. *Revista Brasileira de Sementes*, **8** (1), 6-9 [ Links ]

Tseng, S.; Hsu, J.P. (1989), A stochastic analysis of seed germination. *Bot. Bull. Acad. Sin.*, **30**, 201-205. [ Links ]

Vazquez-Yanes, A. (1976), Estudios sobre la ecofisiologia de la germinación en una zona cálido-húmeda de México.In- *Regeneracion de Selvas*, eds.Gomes-Pompa, A.; Vazquez-Yanes, C.; Rodriguez, S.A.; Butanda Cervera, A. Ed. Continental, Mexico, pp. 279-387. [ Links ]

Vieira, D.R. ; Carvalho, N.M. (1994), *Testes de vigor em sementes*. FUNEP, Jaboticabal, São Paulo. [ Links ]

Weibull, W. (1951), A statistical distribution function of wide aplicability. *Journal of Applied Mecanics*, **18** (1), 293–297. [ Links ]

Whitmore, T.C. (1982), On patterns and process in forest. In- *The Plant Community as a Working Mechanism*, ed. New-Mann, E.I. Blackwell Scientific, Oxford, pp. 45-59. [ Links ]

Yousheng, C.; Sziklai, O. (1995), Preliminary study on the germination of *Toona sinensis* (A.Juss.). Raem. Seed from eleven Chinese provenances. *For. Ecol. Manag.*, **10**, 269-281. [ Links ]

Received: October 09, 1998;

Revised: October 16, 1998;

Accepted: February 08, 1999.

* Author for correspondence