Table I
Range of different factors investigated with Plackett-Burman design.
| Symbol | Variables | Experimental value | |
|---|---|---|---|
| Low (−1) | High (+1) | ||
| X1 | Rice (g/l) | 27 | 33.75 |
| X2 | Wheat (g/l) | 13 | 16.25 |
| X3 | Virtual 1 | −1 | 1 |
| X4 | NaNO3 (g/l) | 1 | 1.25 |
| X5 | CaCO3 (g/l) | 1 | 1.25 |
| X6 | Virtual 2 | −1 | 1 |
| X7 | K2HPO4 · 3H.O (g/l) | 1 | 1 .25 |
| X8 | Virtual 3 | −1 | 1 |
Table II
Factors and levels of response surface central composite design.
| Symbol | Variables | Code level | ||||
| −1.6828 | −1 | 0 | 1 | 1.6818 | ||
| A | Rice (g/l) | 58.4489 | 60.75 | 64.125 | 67.50 | 69.8011 |
| B | NaNO3 (g/l) | 0.1755 | 0.23 | 0.31 | 0.39 | 0.44459 |
| C | K2HPO4 · 3H2O (g/l) | 0.2389 | 0.29 | 0.365 | 0.44 | 0.49119 |

Fig. 1.
Effect of different culture conditions on colony growth rate and sporulation. Effect of different media (a–b), temperatures (c–d), and pH values (e–f) on colony growth rate and sporulation of Beauveria majiangensis strain MJ1015. Values shown are means ± the standard error. Different lowercase letters indicate significant differences between values (p < 0.05).
PDA – potato dextrose agar medium, CZM – base medium, SDAY – Sabouraud dextrose agar with yeast extract medium, ¼ SDAY – ¼ Sabouraud dextrose agar with yeast extract medium.

Fig. 2.
a–f. Solid medium single-factor screening. Effect of different carbon sources (a–b), proportions of rice and wheat (c–d), nitrogen sources (e–f), and inorganic salts (g–h) on colony growth rate and sporulation of Beauveria majiangensis strain MJ1015. Values shown are means ± the standard error. Different lowercase letters indicate a significant difference between values (p < 0.05).
Table III
Plackett-Burman design and response values.
| Order | Variable code | Y Sporulation (conidia/l) 1 × 109 | |||||||
|---|---|---|---|---|---|---|---|---|---|
| X1 | X2 | X3 | X4 | X5 | X6 | X7 | X8 | ||
| 1 | 1 | 1 | −1 | 1 | 1 | 1 | −1 | −1 | 22.370 ± 1.833 |
| 2 | −1 | 1 | 1 | −1 | 1 | 1 | 1 | −1 | 2.860 ± 0.282 |
| 3 | 1 | −1 | 1 | 1 | −1 | 1 | 1 | 1 | 4.267 ± 0.466 |
| 4 | −1 | 1 | −1 | 1 | 1 | −1 | 1 | 1 | 0.923 ± 0.117 |
| 5 | −1 | −1 | 1 | −1 | 1 | 1 | −1 | 1 | 9.043 ± 1.283 |
| 6 | −1 | −1 | −1 | 1 | −1 | 1 | 1 | −1 | 1.487 ± 0.289 |
| 7 | 1 | −1 | −1 | −1 | 1 | −1 | 1 | 1 | 33.453 ± 3.836 |
| 8 | 1 | 1 | −1 | −1 | −1 | 1 | −1 | 1 | 30.840 ± 2.155 |
| 9 | 1 | 1 | 1 | −1 | −1 | −1 | 1 | −1 | 11.113 ± 0.934 |
| 10 | −1 | 1 | 1 | 1 | −1 | −1 | −1 | 1 | 5.773 ± 0.636 |
| 11 | 1 | −1 | 1 | 1 | 1 | −1 | −1 | −1 | 6.950 ± 0.865 |
| 12 | −1 | −1 | −1 | −1 | −1 | −1 | −1 | −1 | 5.650 ± 1.211 |
| 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10.628 ± 1.353 |
| 14 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 13.027 ± 1.477 |
| 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 19.129 ± 1.886 |
Table IV
Results of regression analysis of Plackett-Burman design.
Table V
Experimental design and results of steepest ascent path.
| Level of factor | Factor coded value | Factor actual value | Sporulation (conidia/l) 1 × 109 | ||||
|---|---|---|---|---|---|---|---|
| Rice | NaNO3 | K2HPO4 · 3H2O | Rice | NaNO3 | K2HPO4 · 3H2O | ||
| Step lengthΔ | 1 | 0.125 | 0.125 | 3.375 | 0.125 | 0.125 | n.d. |
| Origin | 0 | 0.000 | 0.000 | 30.375 | 1.125 | 1.125 | 10.627 ± 0.342 |
| Origin + 1Δ | 1 | 0.125 | 0.125 | 33.750 | 1.044 | 1.049 | 9.043 ± 0.532 |
| Origin + 2Δ | 2 | 0.250 | 0.250 | 37.125 | 0.962 | 0.973 | 5.273 ± 0.136 |
| Origin + 3Δ | 3 | 0.375 | 0.375 | 40.500 | 0.881 | 0.898 | 4.837 ± 0.229 |
| Origin + 4Δ | 4 | 0.500 | 0.500 | 43.875 | 0.800 | 0.822 | 1.880 ± 0.218 |
| Origin + 5Δ | 5 | 0.625 | 0.625 | 47.250 | 0.719 | 0.746 | 0.730 ± 0.063 |
| Origin + 6Δ | 6 | 0.750 | 0.750 | 50.625 | 0.637 | 0.670 | 0.620 ± 0.008 |
| Origin + 7Δ | 7 | 0.875 | 0.875 | 54.000 | 0.556 | 0.594 | 29.487 ± 0.546 |
| Origin + 8Δ | 8 | 1.000 | 1.000 | 57.375 | 0.475 | 0.518 | 28.773 ± 0.540 |
| Origin + 9Δ | 9 | 1.125 | 1.125 | 60.750 | 0.393 | 0.443 | 35.627 ± 1.806 |
| Origin + 10Δ | 10 | 1.250 | 1.250 | 64.125 | 0.312 | 0.367 | 47.587 ± 4.056 |
| Origin + 11Δ | 11 | 1.375 | 1.375 | 67.500 | 0.231 | 0.291 | 9.917 ± 0.451 |
| Origin + 12Δ | 12 | 1.500 | 1.500 | 70.875 | 0.150 | 0.215 | 2.420 ± 0.079 |
| Origin + 13Δ | 13 | 1.625 | 1.625 | 74.250 | 0.068 | 0.139 | 3.967 ± 0.138 |
Table VI
Response surface central composite design and corresponding results.
| Run | Coded variable level | Y Sporulation (conidia/l) 1 × 109 | ||
|---|---|---|---|---|
| A | B | C | ||
| 1 | −1 | −1 | −1 | 1.95 + 0.108 |
| 2 | 1 | −1 | −1 | 2.75 + 0.085 |
| 3 | −1 | 1 | −1 | 1.60 + 0.070 |
| 4 | 1 | 1 | −1 | 2.34 + 0.098 |
| 5 | −1 | −1 | 1 | 1.75 + 0.060 |
| 6 | 1 | −1 | 1 | 2.16 + 0.117 |
| 7 | −1 | 1 | 1 | 1.45 + 0.062 |
| 8 | 1 | 1 | 1 | 1.55 + 0.076 |
| 9 | −1.6818 | 0 | 0 | 2.13 + 0.061 |
| 10 | 1.6818 | 0 | 0 | 2.91 + 0.077 |
| 11 | 0 | −1.6818 | 0 | 2.70 + 0.102 |
| 12 | 0 | 1.6818 | 0 | 1.23 + 0.038 |
| 13 | 0 | 0 | −1.6818 | 2.58 + 0.076 |
| 14 | 0 | 0 | 1.6818 | 2.85 + 0.059 |
| 15 | 0 | 0 | 0 | 4.90 + 0.077 |
| 16 | 0 | 0 | 0 | 4.88 + 0.088 |
| 17 | 0 | 0 | 0 | 4.67 + 0.119 |
| 18 | 0 | 0 | 0 | 4.25 + 0.110 |
| 19 | 0 | 0 | 0 | 4.57 + 0.085 |
| 20 | 0 | 0 | 0 | 3.70 + 0.082 |

Fig. 3.
(a–d). Response surface diagrams showing the effects of rice and NaNO3 (contour (a) and 3D plots (b)), rice and K2HPO4 · 3H2O (contour (c) and 3D plots (d)), NaNO3 and K2HPO4 · 3H2O (contour (e) and 3D plots (f)) on the sporulation of Beauveria majiangensis strain MJ1015.
Table VII
ANOVA for response surface quadratic polynomial model.
| Source | df | Sporulation (Y) | ||||
|---|---|---|---|---|---|---|
| Sum of squares | Mean square | F-value | p-value | |||
| Model | 9 | 2.668 × 1021 | 2.965 × 1020 | 15.93 | < 0.0001 | significant |
| A-Rice | 1 | 8.275 × 1019 | 8.275 × 1019 | 4.450 | 0.0612 | |
| B-NaNO3 | 1 | 1.256 × 1020 | 1.256 × 1020 | 6.750 | 0.0266 | |
| C-K2HPO4 · 3H2O | 1 | 1.180 × 1019 | 1.180 × 1019 | 0.6336 | 0.4445 | |
| AB | 1 | 1.650 × 1018 | 1.650 × 1018 | 0.0886 | 0.7720 | |
| AC | 1 | 1.343 × 1019 | 1.343 × 1019 | 0.7126 | 0.4155 | |
| BC | 1 | 3.335 × 1017 | 3.335 × 1017 | 0.0179 | 0.8962 | |
| A2 | 1 | 8.529 × 1020 | 8.529 × 1020 | 45.810 | < 0.0001 | |
| B2 | 1 | 1.339 × 1021 | 1.339 × 1021 | 71.900 | < 0.0001 | |
| C2 | 1 | 7.069 × 1020 | 7.069 × 1018 | 37.970 | 0.0001 | |
| Residual | 10 | 1.862 × 1020 | 1.862 × 1019 | |||
| Lack of fit | 5 | 8.170 × 1019 | 1.634 × 1019 | 0.7821 | 0.6030 | not significant |
| Pure error | 5 | 1.045 × 1020 | 2.089 × 1019 | |||
| Cor Total | 19 | 2.855 × 1021 | ||||
| R2 | 0.9348 | |||||
| Adjusted R2 | 0.8761 | |||||