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Stock-based Compensation Plans (Tables) | 6 Months Ended
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Jun. 30, 2021
Allocation of Stock-Based Compensation by Functional Category | The following details the allocation of stock-based compensation to functional expense categories (in thousands):
|  | Three Months Ended June 30, |  |  | Six Months Ended June 30, |
|  | 2021 |  |  | 2020 |  |  | 2021 |  |  | 2020 |
Direct operating expense |  | $ | 340 |  |  | $ | 434 |  |  | $ | 667 |  |  | $ | 884 |
Brokered natural gas and marketing expense |  |  | 443 |  |  |  | 168 |  |  |  | 893 |  |  |  | 581 |
Exploration expense |  |  | 362 |  |  |  | 372 |  |  |  | 748 |  |  |  | 702 |
General and administrative expense |  |  | 9,382 |  |  |  | 9,179 |  |  |  | 18,787 |  |  |  | 17,208 |
Total stock-based compensation expense |  | $ | 10,527 |  |  | $ | 10,153 |  |  | $ | 21,095 |  |  | $ | 19,375 |
Restricted Stock and Restricted Stock Units Outstanding | The following is a summary of the status of our non-vested restricted stock outstanding at June 30, 2021:
|  | Restricted Stock Equity Awards |  |  | Restricted Stock Liability Awards |
|  | Shares |  |  | Weighted Average Grant Date Fair Value |  |  | Shares |  |  | Weighted Average Grant Date Fair Value |
Outstanding at December 31, 2020 |  |  | 2,815,860 |  |  | $ | 4.97 |  |  |  | 1,186,636 |  |  | $ | 4.18 |
Granted |  |  | 2,340,114 |  |  |  | 10.20 |  |  |  | 1,283,039 |  |  |  | 9.50 |
Vested |  |  | (1,217,427 | ) |  |  | 7.45 |  |  |  | (941,832 | ) |  |  | 6.52 |
Forfeited |  |  | (60,377 | ) |  |  | 6.22 |  |  |  | — |  |  |  | — |
Outstanding at June 30, 2021 |  |  | 3,878,170 |  |  | $ | 7.33 |  |  |  | 1,527,843 |  |  | $ | 7.20 |
Schedule of Share Based Payment Award Performance Stock Awards Valuation Assumptions | The following assumptions were used to estimate the fair value of TSR-PSUs granted during first six months 2021 and 2020:
|  | Six Months Ended June 30, |
|  | 2021 |  |  | 2020 |
Risk-free interest rate |  |  | 0.2 | % |  |  | 1.4 | %
Expected annual volatility |  |  | 75 | % |  |  | 65 | %
Grant date fair value per unit |  | $ | 12.58 |  |  | $ | 3.85 |
Performance-based Internal Performance Awards |
Summary of Non-Vested Awards Activities | The following is a summary of our non-vested internal performance awards outstanding at June 30, 2021:
|  | Number of Units |  |  | Weighted Average Grant Date Fair Value |
Outstanding at December 31, 2020 |  |  | 1,099,102 |  |  | $ | 5.92 |
Units granted (a) |  |  | 303,231 |  |  |  | 9.81 |
Vested and issued (b) |  |  | (306,978 | ) |  |  | 12.20 |
Forfeited |  |  | — |  |  |  | — |
Outstanding at June 30, 2021 |  |  | 1,095,355 |  |  | $ | 7.80 |
Performance Based TSR - PSUs |
Summary of Non-Vested Awards Activities | The following is a summary of our non-vested TSR-PSUs award activities:
|  | Number of Units |  |  | Weighted Average Grant Date Fair Value |
Outstanding at December 31, 2020 |  |  | 1,249,524 |  |  | $ | 9.55 |
Units granted (a) |  |  | 223,687 |  |  |  | 12.58 |
Vested and issued (b) |  |  | (325,217 | ) |  |  | 18.51 |
Forfeited |  |  | — |  |  |  | — |
Outstanding at June 30, 2021 |  |  | 1,147,994 |  |  | $ | 7.60 |
(a ) These amounts reflect the number of performance units granted. The actual payout of shares may be between zero and 200% of the performance units granted depending on the total shareholder return ranking compared to our peer companies at the vesting date. (b) Includes TSR-PSUs awards issued related to the 2018 performance period where the return on our common stock was was negative and therefore, the performance multiple and actual payout was reduced to 100%.

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- Definition Disclosure of the number and weighted-average grant date fair value for restricted stock and restricted stock units that were outstanding at the beginning and end of the year, and the number of restricted stock and restricted stock units that were granted, vested, or forfeited during the year. + References No definition available. + Details
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